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http://www.chegg.com/homework-help/questions-and-answers/imagine-mike-lives-earth-rest-sara-traveling-past-theearth-velocity-8900m-s-meteor-moving--q144103

math

Imagine Mike lives on the earth at rest. Sara is traveling past theearth with a velocity of 8900m/s. If a meteor moving in the samedirection passes Sara, Mike sees the meteor velocity to be13600m/s. Suppose that a photon of light is passing Sara instead ofa meteor. Mike measures the photon speed to be c, thespeed of light. What speed does Sara measure?

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CC-MAIN-2016-18

https://www.hoferlife.at/de/ebook-download/wissenschaft/mathematik-naturwissenschaft-und-technik/naturwissenschaft-und-technik-allgemein/linearity%2C-symmetry%2C-and-prediction-in-the-hydrogen-atom/p/2013022201593

math

Linearity, Symmetry, and Prediction in the Hydrogen Atom The predictive power of mathematics in quantum phenomena is one of the great intellectual successes of the 20th century. This textbook, aimed at undergraduate or graduate level students (depending on the college or university), concentrates on how to make predictions about the numbers of each kind of basic state of a quantum system from only two ingredients: the symmetry and the linear model of quantum mechanics. This method, involving the mathematical area of representation theory or group theory, combines three core mathematical subjects, namely, linear algebra, analysis and abstract algebra. Wide applications of this method occur in crystallography, atomic structure, classification of manifolds with symmetry, and other areas. The topics unfold systematically, introducing the reader first to an important example of a quantum system with symmetry, the single electron in a hydrogen atom. Then the reader is given just enough mathematical tools to make predictions about the numbers of each kind of electronic orbital based solely on the physical spherical symmetry of the hydrogen atom. The final chapters address the related ideas of quantum spin, measurement and entanglement. This user-friendly exposition, driven by numerous examples and exercises, requires a solid background in calculus and familiarity with either linear algebra or advanced quantum mechanics. Linearity, Symmetry, and Prediction in the Hydrogen Atom will benefit students in mathematics, physics and chemistry, as well as a literate general readership. A separate solutions manual is available to instructors. Weiterlesen weniger lesen

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https://mully.net/en/entropy_en/

math

Where did the pendulum’s energy go? A pendulum that vibrates in the air continues to collide with air molecules in the process of vibrating. Air molecules get their energy from the pendulum. In this process, Air molecules increase their speed. Conversely, the pendulum has lost its energy. Eventually, the mechanical energy in the pendulum is converted into the air molecule’s heat energy. Mechanical energy of the pendulum → heat energy of air molecules A phenomenon that can return to its original state, such as electrons moving in a vacuum, is called a ‘reversible phenomenon.’ However, most natural phenomena are ‘irreversible phenomena’ that occur only in one direction. Let’s take an example of a pendulum. Can the pendulum move itself using the heat energy of air molecules? If many air molecules collide with the pendulum in one direction, the pendulum can move by itself. However, this doesn’t happen because each air molecule has a disorderly movement. As such, most natural phenomena are irreversible, occurring only in one direction.

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CC-MAIN-2023-14

https://www.coursehero.com/file/6621155/02-P34InstructorSolution/

math

2.34. Solve:(a)The velocity is the integral of the acceleration. ()11102210000 m/s101010tttxxxtvvadttdtt t=+=+− = −= −∫∫The velocity is zero when ( )( )211110100 sor20 sxvtttt==−=−×⇒==The first solution is the initial condition. Thus the particle’s velocity is again 0 m/s at 120 s.t=(b)Position is the integral of the velocity. At This is the end of the preview. access the rest of the document.

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CC-MAIN-2017-51

http://openstudy.com/updates/522a49fde4b0fbf34d628e78

math

At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat. ?? What's the question my net is working very slow that s y i m unable to post my answer and question tan B goes up side down my solution is incorrect sinC is wrong cos C, tan C are both wrong what would be sinC what is the definition of sin? sin = opposite/hypotenus, what are they for C? hey, you ask for check, not for guiding, I am not good at teaching, please @surjithayer teach him. IN tr. ABC , angle A = 90 degree (given) I don't talk about A, I am talking about C your questions are about B and C. Surely A is right angle. When considering B, ignore everything else. just B. The same with C, to C, consider which is its opposite, which is its adjacent, then, put them into formula, that's it. Redo, please, I can check. I don't do it for you. Wish you can do it by yourself. plse any one tell me urgently needed sin SOH cos CAH Tan TOA Sin is the Opposite side over the Hypotenuse side Cos is the Adjacent side over the Hypotenuse side Tan is the Opposite side over the Adjacent side |dw:1378505159254:dw| i have not mentioned angle. I have written in general. you misunderstanding many basic concept, 90 degree is a right angle. In a triangle, cannot have 2 right angles. In a triangle , total of 3 angles is 180 degree now everybody is confusing me sinC = opposite / hypotenuse you need to check your answers .. all wrong i think sinB = opposite / hypotenuse .. that's opposite side of the given angle over its hypotenuse .. hope it helps a bit sinB = AC/BC cosB = AB/BC tanB= sinB/cosB = AC/AB sinC = AC/BC cosC = AB/BC tanC = sinC/cosC = AC/AB try to check again sinC, cosC and tanC .. |dw:1378544651728:dw| use the figure below to answer sinC, cosC and tanC adjacent side = AC so sinC= AB/BC cosC=AC?BC yes, you got it where's your final answer?

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http://kosiyaefirewalls.com/software/positional-notation-binary-options.php

math

Positional notation or place-value notation is a method of representing or encoding numbers. . The binary numeral system, base-2, is straightforwardly implemented in digital electronic circuitry and used by. . and this extends with few, if insignificant, variations on the choice of alphabetic digits for those bases above 10. I'm using positional notation method convert binary to decimal and its different i guess nobody has tried it yet i guess, and in this I'm using for_each loop Here are some steps: store binary as. Positional Notation What if 642 has the base of 13? 642 in base 13 is. 10 Power of 2 Number System Binary Octal Decimal 000 001 1 010 2 011 3 001 1 010 2. Binary number - Wikipedia Convert Erlang integer to positional notation binary. Ask Question. up vote 0 down vote favorite. I can convert an integer to a binary easily in Erlang: Binary options trade on the Nadex exchange, the first legal U. S. exchange focused on binary options. Nadex provides its own browser-based binary options trading platform which traders can access via demo account or live account. Watch Iq Option Recenze Brokera Binárních Opcí - Binární Diagramy The trading platform provides real-time charts along with direct market access to current binary option prices. They are the Goldilocks choice among numbering systems: When base 2 is too. Dont Gamble On Binary Options - Forbes The general formula for a numeral in any positional notation goes something like. Base 2 dominates computing technology because binary devices are simple. Binary options let traders profit from. What You Need To Know About Binary Options. the trader's account when the position is closed. Other Types of Binary. A positional or place-value notation is a numeral system in which each position is related. The choice of base determines the set of numerals that will be used.

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https://socratic.org/questions/how-do-you-factor-3x-2-7x-6

math

How do you factor #3x^2-7x-6#? Ans: (3x + 2)(x - 3). Use the new AC Method: y = 3(x - p)(x - q) p' and q' have opposite signs. (Rule of signs) Factor pairs of (-18)--> (-2, 9). This sum is 7 = -b. Change this sum to the opposite. Then p' = 2 and q' = -9.

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https://www.techvenge.net/jigsaw-puzzle-boxes/

math

It all started with a 1 smart kid A few weeks ago, Patrick Honner, who is an award-winning math teacher, posted a realization on Twitter. His 7-year-old had just realized discovered that their 300-piece jigsaw puzzle was made out of 324 pieces as it was in an 18 x 18 format. Calculating number of pieces – DIY What this means is that a puzzle number is regarded as valid if it is a y x z format. In this format, y is lesser than or equal to z and z is equal to or lesser than 4z. The constant 4 is a random choice and can be any number according to the specification of a certain puzzle. With that in mind, a puzzle number would be something that looks like this, 10x4 = 40, 20x4 = 80, and 30x4 = 120. In the OEIS puzzle, numbers can be found under A071562, where they are described as numbers whose middle divisor is not zero. A middle divisor is the divisor of a number that is between the square root of a number divided by 2 and the square root of a number x 2. This means your middle divisors will have to be 8.660254037844386 and 34.64101615137755 to make a puzzle that will have exactly 300 pieces. However, puzzle piece rows are rarely ever arranged in this manner as they usually get rounded over to the nearest natural number. That is why most manufacturers choose to divide their desired number of pieces with a middle divisor to determine how many pieces will be on one row. truth vs. Practice After determining how many rows one side will have using the middle divisor, the remaining number will be used to constitute the other side’s rows. Due to this, the number of pieces advertised on jigsaw puzzle boxes rarely ever represent what you will find inside and math enthusiasts on the internet have realized this. One of those math enthusiasts is known as John D. Cook once said jigsaw puzzles that claim to have 1,000 pieces mean they approximately have 1,000 pieces. He said the term “1000-piece” is not meant in its literal form because puzzle pieces are normally arranged in a grid-like formation. Since the pieces are in a grid-like formation, this means the number of pieces on one side is a divisor of the total number of pieces. Cook said the grid formation found in many jigsaw puzzles makes it very hard for manufacturers to make a puzzle that has exactly 1,000 pieces. Cook’s assessment of 1,000-piece jigsaw puzzles makes it easier for us to understand why most puzzles have aspect ratios that produce numbers that are around the advertised sum. Also, there is a puzzle blog that suggests that most 500-piece jigsaw puzzles have 513 pieces. The blog says this because most manufacturers use an aspect ratio of 27 x 19 to make 500-piece puzzles. They also said that most manufacturers also use 38 x 27 aspect ratios to make 1,000-piece puzzles. The 38 x 27 and 27 x19 aspect ratios can be translated as “2Y-piece” and “y-piece.” That makes it a better working model for manufacturers who want to produce both 500-piece and 1,000-piece puzzles.

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CC-MAIN-2024-10

http://www.mathemafrica.org/?p=13259

math

Why ? I assume this is the question on everyone’s mind. (Whether you’re a Math lover or not) The simple answer would be that we all love pie, now don’t we? Before I begin discussing any technicalities, I’d like to acknowledge that it is possible for some of us to find the concepts easy whilst others might struggle with them. This is the reason why I’m choosing to speak in a very simple and understandable manner. (I’m baby proofing my post!) Firstly, let us have a look at the Maclaurin series of Aside: A Maclaurin series is a polynomial which approximates a function around the point x = 0. The level of accuracy decreases as you move further away from x = 0. The only way to get an exact answer and not an approximate is to let the sum go to infinity. Below is a table of the first few derivatives of . We will now use this to determine what the Maclaurin polynomial should look like. It is now quite clear that the polynomial should look something like this: The next step is quite clever. Since = (Some of you may know this as 45 degrees); we can let x = 1 to arrive at an expression for . It is now evident that if we multiply the series by 4 we will arrive at an expression for . This is shown as follows: Now let us try out the result we’ve just arrived at and see just why it is the least preferred method of approximating . It is quite easy to see the pattern in the terms of the above sum. So let us see how our sum converges towards to the value of as we increase the number of terms. These calculations can be done using WolframAlpha if your calculator has insufficient memory. The sum we will be using is as follows: When the number of terms = 10, the sum equals 3.232315809505594 When the number of terms = 100, the sum equals 3.1514934010709914 This looks horrible, doesn’t it? Intuitively, we all know that = 3.14… So what’s going wrong? A good answer would be that this series converges towards at an extremely slow rate so even though it doesn’t seem to be accurate right now; it’ll most definitely be more accurate if we add more terms to the sum. Before we do this, let us try and understand why it converges so slowly. One reason is the fact that our sum provides accurate approximations around the point x = 0, but here we are approximating around the point x = 1. Secondly, we multiplied the sum for by 4 which added to the inaccuracy when approximating itself. Of course, there are a few other reasons as well. Why don’t we sum ten million terms and see what we arrive at? This gives us a value of 3.1415927535897814. It is clear now that this value is equal to up to 7 decimal places. I hope that the above paragraph proves why this is the least preferred method of approximating . The reason I chose to discuss it is because it is relatively simple to understand in comparison to other sums which do in fact arrive at much better approximations of in a much shorter time span. Lastly, I think we can all agree that this method is quite beautiful in its own way.

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https://www.grandtermpapers.com/the-arrival-time-of-an-elevator-in-a-12-story-dormitory-is-equally-likely-at-any-time-range-during-the-next-3-6-minutes-a-calculate-the-expected-arrival-time-round-your-answer-to-2-decimal-places/

math

The arrival time of an elevator in a 12-story dormitory is equally likely at any time range during the next 3.6 minutes. a. Calculate the expected arrival time. (Round your answer to 2 decimal places.) b. What is the probability that an elevator arrives in less than 2 minutes? (Do not round intermediate calculations. Round your answer to 4 decimal places.) c. What is the probability that the wait for an elevator is more than 2 minutes? (Do not round intermediate calculations. Round your answer to 4 decimal places.) Use this worksheet to strategize a plan for how you will conduct your study to best examine your hypothesis. Reviewing Chapters 6 and 15 and the chapter that corresponds to your particular design (one of the chapters from 7 through 14) is helpful for this assignment. Please write in complete sentences and please submit a completed worksheet. TOPIC: How effective is ABA therapy for children with Autism? Due by 9 pm on June 11th, 2023!

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http://pepaperunhg.gvu-edu.us/a-descriptive-explanation-of-the-physics-in-playing-golf.html

math

To understand the physics of a golf swing one must consider the mechanics of hit than if the golf club were held rigid (meaning the wrists are not allowed to. Many people consider golf to be an art form - but if it is, it's one that's founded on physics: momentum, impulse, force and torque, all of which can be explained with and that's just the equation describing the “wrist joint torque necessary to. And the torques that generate power in the golf swing robert d grober describing what can be learned by measuring the motion of the golf club using two a biomechanical explanation for the ratio was hypothesized. Modeling in golf, by briefly describing a few of the many ways mathematics can be used to understand or the physics of the golf club and ball • the impact of element analysis or via simplified 1- or 2-dimensional models 3 the ball's. But a golf ball when it leaves the club is only in rare cases devoid of spin, and it the ball moves off to the left, describing the path indicated by the dotted line this is before proceeding to the explanation of this effect of spin, i will show some. The physics of a golf swing and the swing release angle hit than if the golf club were held rigid (meaning the wrists are not allowed to rotate during the swing.

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CC-MAIN-2018-43

https://ifedugadokir.gq/generalized-network-design-problems-modeling-and-optimization.php

math

The principal objective of this book is to present a collection of challenging test problems arising in literature studies and a wide spectrum of applications. Due to the non-differentiability of the perturbed solutions in equilibrium constraints, a non-smooth optimization model is established. A generalized bundle subgradient projection is presented to effectively solve the network design problem. Global convergence analysis for the proposed method is also delivered. Network design problems NDP consist of identifying an optimal subgraph of a graph, subject to side constraints. In generalized NDP, the vertex set is partitioned into clusters and the feasibility conditions are expressed in terms of the clusters. Fuzzy generalized network approach for solving. Formulation and feasibility test of optimal road network design model with endogenously determined travel demand. Proceedings of the 5th World Conference on Transport. Abstract: Many combinatorial optimization problems can be considered as nding a subgraph of a given graph with di erent requirements of graph properties e. They can be generalized for network design in di erent application areas, such as power. Solving the Transit Network Design problem with Constraint. Modeling and solving a distribution network design problem. Wiley Online Library. Several results Generalized network design problems : modeling. Chapter 11 Net w ork Optimization Net ork mo dels ha v e three main adv an tages o v er linear programming: 1. They can b e solv ed v ery quic kly. Approximating the Generalized Capacitated Tree-Routing Problem | SpringerLink Problems whose linear program w ould ha v e ro ws and 30, columns can b e solv ed in a matter. Generalized Network Design Problems : Modeling. Network Optimization: Continuous and Discrete Models. The monograph describes in a unified manner a series of mathematical models, methods, propositions, and algorithms developed. The LLamasoft Digital Design and Decision Center provides end-to-end supply chain perspective to quickly pinpoint inefficiencies to offer solutions to create the network you want. Create digital models to evaluate and compare trade-offs of potential supply chain network changes. By modeling in a no-risk environment, you can make high-stakes. General Optimization Methods for Network Design of different notational conventions for modeling and formulating network design problem and introduces the. A variety of practical network optimization problems arising in the context of models and the analysis of five such problems, and the subsequent design and new algorithm for solving the generalized lp distance location-allocation problem. In what it follows we describe an application encountered in the design of regional network design. Network models Network representation is widely used in:. Alggorithms and software are beingg used to solve hugge network problems on a routine basis. Many network problems are special cases of linear. Design network inserting links in order. This review provides an overview of the queueing modeling issues and the related performance evaluation and optimization approaches framed in a joined manufacturing and product engineering. Such networks are represented as queueing networks. The performance of the queueing networks is evaluated using an advanced queueing network analyzer: the generalized expansion method. - Taste of Home Brunch Favorites: 201 Delicious Ideas to Start your Day. - Farmacotherapie Bij Kinderen: Kennislacunes in Beeld Gebracht. - Practical Pulmonary Pathology: A Diagnostic Approach! - Generalized Network Design Problems: Modeling and Optimization. - Search form. Sustainable supply chain network design: An optimization. Transportation models play an important role in logistics and. The express purpose of this monograph is to describe a series of mathematical models, methods, propositions, algorithms developed in the last years on generalized network design problems in a unified. After separately studying these two pooling problem instantiations, we have unified our work by developing APOGEE Algorithms for Pooling-problem Optimization in GEneral and Extended classes , a generic computational tool that globally optimizes standard, generalized, and extended pooling problems. Generalized network design problems : modeling and optimization Generalized Network Design Problems Modeling and Optimization In combinatorial optimization, many network design problems can be generalized in a natural way by considering a related problem on a clustered graph, where the original problem s feasibility constraints are expressed in terms of the clusters, i. Decomposition Methods and Network Design Problems. Network Optimization by Generalized Methodology - wseas. Introduction to Network Models Network models are applicable to an enormous variety of decision problems that can be modeled as networks optimization problems and solved efficiently and effectively. Some of these decision problems are really physical problems such as transportation or flow of commodities. Integer programming models and branch-and-cut approaches. The generalized methodology for the electronic networks optimization was elaborated by means of the optimal control theory approach. In this case the problem of the electronic system design. Mathematical optimization alternatively spelled optimisation or mathematical programming is the selection of a best element with regard to some criterion from some set of available alternatives. Optimization problems of sorts arise in all quantitative disciplines from computer science and engineering to operations research and economics, and the development of solution methods Ordinary network flow models require flow conservation on all arcs: The amount of flow entering an arc equals the amount of flow leaving the arc. Generalized network flow models, on the other hand, is a generalization of standard network flow models in which each arc of the underlying graph has an associated positive gain or loss factor. Generalized Network Design Problems by Petrica The Modeling and Optimization: Theory and Applications MOPTA conference is an annual event aiming to bring together a diverse group of people from both discrete and continuous optimization, working on both theoretical and applied aspects. Optimal solutions generated turn out to be integer if the relevant constraint data are integer. A common. PAPER Layering as Optimization Decomposition: A Mathematical Theory of Network Architectures There are various ways that network functionalities can be allocated to different layers and to different network elements, some being more desirable than others. The intellectual goal of the research surveyed by this article is to provide. Model and heuristic for a generalized access network. - Book design! - Product details. - Spermatogenesis Genetic Aspects! - Free pdf Generalized Network Design Problems Modeling And Optimization Free Download. - Additional Information? - UNIX System Administration Handbook. - Generalized Network Design Problems: Modeling and Optimization by Petrica C. Pop - ifedugadokir.gq; Model predictive control MPC is an advanced method of process control that is used to control a process while satisfying a set of constraints. It has been in use in the process industries in chemical plants and oil refineries since the s. In recent years it has also been used in power system balancing models and in power electronics. Model predictive controllers rely on dynamic models. Authors; In this paper the routing problem is formulated as a fuzzy multiobjective optimization model. The fuzzy approach allows for the inclusion and evaluation of several criteria simultaneously. The express purpose of this monograph is to describe a series of mathematical models, methods, propositions, algorithms developed in the last years on generalized network design problems in a unified manner. The book consists of seven chapters, where in addition to an introductory chapter, the following generalized network design problems are formulated and examined: the generalized minimum spanning tree problem, the generalized traveling salesman problem, the railway traveling salesman problem, the generalized vehicle routing problem, the generalized fixed-charge network design problem and the generalized minimum vertex-biconnected network problem. The book will be useful for researchers, practitioners, and graduate students in operations research, optimization, applied mathematics and computer science. Due to the substantial practical importance of some presented problems, researchers in other areas will find this book useful, too. Petrica C. Related Generalized Network Design Problems: Modeling and Optimization Copyright 2019 - All Right Reserved

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https://studysolve.online/wbp-math-solution-bengali-pdf-download/

math

WBP Math Solution Bengali PDF Download: Dear students, are you looking for WBP Math solutions Bengali PDF? If yes, then here is the right place for you. Because in this post you are going to download WBP Math Somadhan or Solution PDF. This math solution will be very helpful for West Bengal Police Constable Preliminary Exam. So, if you are preparing for the upcoming WBP Preliminary, then you must download this Math Solution PDF or WBP Preliminary Maths Solved Paper pdf in Bengali. |Topic||WBP Math Solution| WBP Math Solution Bengali PDF Download: Preview: You Might Be Also Like:

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CC-MAIN-2022-49

https://rd.springer.com/chapter/10.1007/978-1-349-02767-5_8

math

There are practical situations where one would like to estimate some parameters of an underlying statistical distribution. For example, a toothpaste manufacturer would like to make a statement such as his new toothpaste would reduce cavities by 21 to 49%. Here the manufacturer is interested in two numbers such as 21% and 49% such that the true proportion of reduction in cavities is somewhere between 21% and 49%. A weather bureau may forecast the temperature variation in a forthcoming month as between a°F and b°F and it may claim that, the forecast will be correct in 95% of the cases. A design engineer would like to get an estimate of the average weight of the type of passengers who are likely to fly, when designing an aircraft. In all these problems one would like to get an estimate of an unknown quantity. In statistical estimation problems, one is interested in getting an estimate of either an unknown parameter or an unknown probability-statement. Two types of estimates for a parameter are usually sought for. They are the point estimates and the interval estimates. KeywordsStatistical Estimation Interval Estimate Stomach Ulcer Central Interval True Proportion Unable to display preview. Download preview PDF.

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https://techcommunity.microsoft.com/t5/Excel/Excel-Formula-for-Colored-cells/td-p/752956

math

Hello see the attached screen shot is there a way to write a formula so that I can add up the colored cells per color?column F please advise me. Perform any calculations based on color that's only with VBA programming, formulas work with values. But if you have some formal rules why this or that color is applied, such rules could be used for the calculations. @Sergei Baklan well red equals dead jobs green equals sold jobs and peach equals jobs bid pending Sorry, but that says me nothing. What it will be in Excel terms? For example, if cell in column C is equal to "Dead" then red, if equal to "Sold" then green, etc @Sergei Baklan wsell it would be as follows then if cell in column F is red then equakls dead if cell in column f is green it equals sold if cell in column f is peach then equals bid / pending I meant opposite - if cell value is ... then ... You may add one more column with the status which could be selected from drop-down menu: dead, sold, pending. Base on values in this column you may color your table using conditional formatting and make some calculations taking status values as logical test.

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CC-MAIN-2019-51

https://collaborate.princeton.edu/en/publications/the-longest-cycle-of-a-graph-with-a-large-minimal-degree

math

We show that every graph G on n vertices with minimal degree at least n/k contains a cycle of length at least [n/(k − 1)]. This verifies a conjecture of Katchalski. When k = 2 our result reduces to the classical theorem of Dirac that asserts that if all degrees are at least 1/2n then G is Hamiltonian. All Science Journal Classification (ASJC) codes - Discrete Mathematics and Combinatorics - Geometry and Topology

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https://www.reference.com/web?q=find%20equation%20of%20line%20excel&qo=pagination&o=600605&l=dir&sga=1&qsrc=998&page=4

math

To find the slope of a line, often written as m, take two points on the line, (x1,y1) and (x2,y2); the slope is equal to (y2 - y1)/(x2 - x1). Y-intercept (b): The y-intercept of a line, often written as b, is the value of y at the point where the line crosses the y-axis. The equation of a straight line is y = mx + b. The Excel Linest Function uses the least squares method to calculate the line of best fit through a supplied set of y- and x- values. If there is a single range of x-values, the calculated line satisfies the simple straight line equation: I've used goal seek to solve equations, but it is not very useful when there are several possible solutions and one needs them all. I also have used trendlines in charts to find the equation for the line of best fit. Not quite the same as solving equations, but easier than running linear regressions to find the same result. How do i find the equation of the line and R2? I don't have Excel 2008 handy to test, but usually one way is to right-click (or Control-click) the trendline, choose Format Trendline from the pop-up menu, click Options, click "Display equation on chart" and "Display R-squared value on chart," and click OK. Equations in excel are none other than our formulas which we type in cell, to write an equation we start with an equals to sign (=) which excel recognizes as to calculate and then we use variables which are connected with each other with some operators, depending upon the operators we get results, an equation can be both linear or non linear. In this article, we will see how to solve it with Excel. To find intersection of two straight lines: First we need the equations of the two lines. Then, since at the point of intersection, the two equations will have the same values of x and y, we set the two equations equal to each other. This gives an equation that we can solve for x Select "Linear," click the box for "Display Equation on chart" and click "Close." This trend line is an approximation for the actual tangent line. The equation for the trendline is displayed on the graph using the "y = mx + b" format. Using the previous example, this gives the approximate equation for the tangent line as "y = 0.5x + 2.5." In Correlation we study the linear correlation between two random variables x and y. We now look at the line in the xy plane that best fits the data (x 1, y 1), …, (x n, y n).. Recall that the equation for a straight line is y = bx + a, where b = the slope of the line a = y-intercept, i.e. the value of y where the line intersects with the y-axis. For our purposes we write the equation of the ... I want to show my college class how to create an XY scatter plot on Excel, and to show the trendline together with the equation of the line, and R squared value. Our institution recently bought top of the line ipads for all students. Yet I cannot figure out how to get the equation of the line to show on the ipad. In scattered table,i draw linear trend line. my trendline equation is y=5.3864x+37.5. I use an formula to find angle of trend line.The formula is

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https://library.exemplars.com/representations/difference

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Rounding to the nearest 10, students determine how many insects are let go from glass jars. Given the amount of cans of paint on two shelves, student determine how many cans of paint are on the third shelf. Students determine how many balloons Betty has left after giving some to Ben. Students determine how many pink shells Kim found on the beach. Students determine how many plastic dinosaurs Danny has left after he gives some to a friend. Students determine how many nuts Sam the squirrel hides under a rock. Students find the total number of legs on 8 cows and 10 chickens. Students determine possible movie seating arrangements for 30 students. Just verify your email address, and we'll send it out.

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https://solvedlib.com/n/eala-300n12013given-ue-amal23-19-13-gt-find-tho-rna6verify,6872026

math

But were asked to prove that if B is equal to P. Inverse AP and X is an Eigen vector of a corresponding to an Eigen Value lambda, then PM Verse X is an Eigen vector of B corresponding also to Lambda. So we have that. Yes, A X is equal to Lambda X, where, of course, Lambda is not equal to zero or not. Lambda. I mean, the Eigen Vector X is non zero by definition. Then we have that P inverse a X well, this is equal to Lambda P Inverse X now since be was PM verse AP It follows that be times p Inverse Times X is equal to p inverse ap times p inverse X which is equal to well, because PM's PM versus the identity. This is the same as P inverse times A. Which times the identity is still a Times X and here I'll group the A and the X together for emphasis. This is the same as P inverse times Lambda X, which is the same as land of times p in verse X. So it follows that well, we have that X is non zero and we have that p is in vertebral, so it follows that P inverse of X Times X is also a non zero vector. This is actually because p and verses in vertical So we have that p inverse Times X is an Eigen vector of be corresponding to I can value of Lambda..

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https://www.knowpia.com/knowpedia/Deontic_logic

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Deontic logic is the field of philosophical logic that is concerned with obligation, permission, and related concepts. Alternatively, a deontic logic is a formal system that attempts to capture the essential logical features of these concepts. It can be used to formalize imperative logic, or directive modality in natural languages. Typically, a deontic logic uses OA to mean it is obligatory that A (or it ought to be (the case) that A), and PA to mean it is permitted (or permissible) that A, which is defined as . Note that in natural language, the statement "You may go to the zoo OR the park" should be understood as instead of , as both options are permitted by the statement; See Hans Kamp's paradox of free choice for more details. When there are multiple agents involved in the domain of discourse, the deontic modal operator can be specified to each agent to express their individual obligations and permissions. For example, by using a subscript for agent , means that "It is an obligation for agent (to bring it about/make it happen) that ". Note that could be stated as an action by another agent; One example is "It is an obligation for Adam that Bob doesn't crash the car", which would be represented as , where B="Bob doesn't crash the car". In Georg Henrik von Wright's first system, obligatoriness and permissibility were treated as features of acts. Soon after this, it was found that a deontic logic of propositions could be given a simple and elegant Kripke-style semantics, and von Wright himself joined this movement. The deontic logic so specified came to be known as "standard deontic logic," often referred to as SDL, KD, or simply D. It can be axiomatized by adding the following axioms to a standard axiomatization of classical propositional logic: In English, these axioms say, respectively: FA, meaning it is forbidden that A, can be defined (equivalently) as or . where . It is generally assumed that is at least a KT operator, but most commonly it is taken to be an S5 operator. In practical situations, obligations are usually assigned in anticipation of future events, in which case alethic possiblities can be hard to judge; Therefore, obligation assignments may be performed under the assumption of different conditions on different branches of timelines in the future, and past obligation assignments may be updated due to unforeseen developments that happened along the timeline. The other main extension results by adding a "conditional obligation" operator O(A/B) read "It is obligatory that A given (or conditional on) B". Motivation for a conditional operator is given by considering the following ("Good Samaritan") case. It seems true that the starving and poor ought to be fed. But that the starving and poor are fed implies that there are starving and poor. By basic principles of SDL we can infer that there ought to be starving and poor! The argument is due to the basic K axiom of SDL together with the following principle valid in any normal modal logic: If we introduce an intensional conditional operator then we can say that the starving ought to be fed only on the condition that there are in fact starving: in symbols O(A/B). But then the following argument fails on the usual (e.g. Lewis 73) semantics for conditionals: from O(A/B) and that A implies B, infer OB. Indeed, one might define the unary operator O in terms of the binary conditional one O(A/B) as , where stands for an arbitrary tautology of the underlying logic (which, in the case of SDL, is classical). The accessiblity relation between possible world is interpreted as acceptibility relations: is an acceptable world (viz. ) if and only if all the obligations in are fulfilled in (viz. ). Alan R. Anderson (1959) shows how to define in terms of the alethic operator and a deontic constant (i.e. 0-ary modal operator) standing for some sanction (i.e. bad thing, prohibition, etc.): . Intuitively, the right side of the biconditional says that A's failing to hold necessarily (or strictly) implies a sanction. In addition to the usual modal axioms (necessitation rule N and distribution axiom K) for the alethic operator , Anderson's deontic logic only requires one additional axiom for the deontic constant : , which means that there is alethically possible to fulfill all obligations and avoid the sanction. This version of the Anderson's deontic logic is equivalent to SDL. However, when modal axiom T is included for the alethic operator ( ), it can be proved in Anderson's deontic logic that , which is not included in SDL. Anderson's deontic logic inevitably couples the deontic operator with the alethic operator , which can be problematic in certain cases. An important problem of deontic logic is that of how to properly represent conditional obligations, e.g. If you smoke (s), then you ought to use an ashtray (a). It is not clear that either of the following representations is adequate: Under the first representation it is vacuously true that if you commit a forbidden act, then you ought to commit any other act, regardless of whether that second act was obligatory, permitted or forbidden (Von Wright 1956, cited in Aqvist 1994). Under the second representation, we are vulnerable to the gentle murder paradox, where the plausible statements (1) if you murder, you ought to murder gently, (2) you do commit murder, and (3) to murder gently you must murder imply the less plausible statement: you ought to murder. Others argue that must in the phrase to murder gently you must murder is a mistranslation from the ambiguous English word (meaning either implies or ought). Interpreting must as implies does not allow one to conclude you ought to murder but only a repetition of the given you murder. Misinterpreting must as ought results in a perverse axiom, not a perverse logic. With use of negations one can easily check if the ambiguous word was mistranslated by considering which of the following two English statements is equivalent with the statement to murder gently you must murder: is it equivalent to if you murder gently it is forbidden not to murder or if you murder gently it is impossible not to murder ? Some deontic logicians have responded to this problem by developing dyadic deontic logics, which contain binary deontic operators: (The notation is modeled on that used to represent conditional probability.) Dyadic deontic logic escapes some of the problems of standard (unary) deontic logic, but it is subject to some problems of its own.[example needed] Philosophers from the Indian Mimamsa school to those of Ancient Greece have remarked on the formal logical relations of deontic concepts and philosophers from the late Middle Ages compared deontic concepts with alethic ones. In his Elementa juris naturalis (written between 1669 and 1671), Gottfried Wilhelm Leibniz notes the logical relations between the licitum (permitted), the illicitum (prohibited), the debitum (obligatory), the, and the indifferens (facultative) are equivalent to those between the possibile, the impossibile, the necessarium, and the contingens respectively. Ernst Mally, a pupil of Alexius Meinong, was the first to propose a formal system of deontic logic in his Grundgesetze des Sollens (1926) and he founded it on the syntax of Whitehead's and Russell's propositional calculus. Mally's deontic vocabulary consisted of the logical constants U and ∩, unary connective !, and binary connectives f and ∞. Mally defined f, ∞, and ∩ as follows: Mally proposed five informal principles: He formalized these principles and took them as his axioms: From these axioms Mally deduced 35 theorems, many of which he rightly considered strange. Karl Menger showed that !A ↔ A is a theorem and thus that the introduction of the ! sign is irrelevant and that A ought to be the case if A is the case. After Menger, philosophers no longer considered Mally's system viable. Gert Lokhorst lists Mally's 35 theorems and gives a proof for Menger's theorem at the Stanford Encyclopedia of Philosophy under Mally's Deontic Logic. The first plausible system of deontic logic was proposed by G. H. von Wright in his paper Deontic Logic in the philosophical journal Mind in 1951. (Von Wright was also the first to use the term "deontic" in English to refer to this kind of logic although Mally published the German paper Deontik in 1926.) Since the publication of von Wright's seminal paper, many philosophers and computer scientists have investigated and developed systems of deontic logic. Nevertheless, to this day deontic logic remains one of the most controversial and least agreed-upon areas of logic. G. H. von Wright did not base his 1951 deontic logic on the syntax of the propositional calculus as Mally had done, but was instead influenced by alethic modal logics, which Mally had not benefited from. In 1964, von Wright published A New System of Deontic Logic, which was a return to the syntax of the propositional calculus and thus a significant return to Mally's system. (For more on von Wright's departure from and return to the syntax of the propositional calculus, see Deontic Logic: A Personal View and A New System of Deontic Logic, both by Georg Henrik von Wright.) G. H. von Wright's adoption of the modal logic of possibility and necessity for the purposes of normative reasoning was a return to Leibniz. Although von Wright's system represented a significant improvement over Mally's, it raised a number of problems of its own. For example, Ross's paradox applies to von Wright's deontic logic, allowing us to infer from "It is obligatory that the letter is mailed" to "It is obligatory that either the letter is mailed or the letter is burned", which seems to imply it is permissible that the letter is burned. The Good Samaritan paradox also applies to his system, allowing us to infer from "It is obligatory to nurse the man who has been robbed" that "It is obligatory that the man has been robbed". Another major source of puzzlement is Chisholm's paradox. There is no formalisation in von Wright's system of the following claims that allows them to be both jointly satisfiable and logically independent: Responses to this problem involve rejecting one of the three premises.

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https://math.answers.com/other-math/What_is_difference_between_mean_and_mode

math

The mean is the average. For example if you had the numbers 11, 10, 12, 11, 7, and 15. You would add them up and divide by how many numbers there are (which in this case is 6). The number you get is your mean (in this case the means in 11). The mode is the number that occurs most often. Using the same set of numbers above (11, 10, 12, 11, 7, and 15), the mode would be 11 because that's the only number that occurs the most. In other words, there is more than one of the same number. It doesn't actually mean difference, but it can be used to get the difference between values. 11 subtract 4 is 7, and 7 is the difference between 4 and 11. They differ in formula. Range means finding the difference between the highest number in a set of numbers and the lowest. Mean means dividing the total of a set of numbers by the number of numbers there are Mode means the most frequent number. Median is the number in the middle. To find the median you have to first order the numbers from lowest to highest. Mean = 21.6 Median = 19.5 Mode = 20 and 21 ------------------------------------------------------------------------ If the "2 1" (between 18 and 20 at the end) is supposed to be "21" then Mean = 26 Median = 20 Mode = 20 3 popular questions about mean,median,mode is whats the mean? whats the mode? whats the median? hope this helps = What is the difference between real mode and protected mode = mode is the number that occurs the most and to find the mean/average, add all numbers, then divid that number by the number of numbers there were in your group of numbers. There is no direct relationship between the mean and mode. The mean, median, and mode are all measures of central tendency. For symmetrical distributions they all have the same value. For assymetrical distributions they have different values. The mean is the average and the mode is the most likely value. The Related Link below explains the difference between enhancement mode and depletion mode N channel MOSFETs. well a spreadsheet is what your making, spreadsheet mode is the view by average we mean any measure of central tendency and mean is one of the averages. other measures of average are median ,mode, geomatric mean and harmonic mean. single mode fiber have higher bandwidth than multimode nothing they are both the same you do it yourself Yes they do. All graphs have a mean and a mode. The difference with a double bar graph is that you have to find the mean and mode separately with each different thing you are measuring The 8251 is a USART (Universal Synchronous Asynchronous Receiver Transmitter). It does not have a minimum and maximum mode.

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http://gucquebec.ml/blog2879-sin2xdx.html

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integrate sin 4x cos 6x dx. My WordPress Blog. Sample Page.4x dx- cos4x sin2x dx let us do one by one Math2.org Math Tables: Table of Integrals Power of x. x n dx x n1 (n1)-1 C (n -1) d/dx [-sin(x)] -cos(x). The thing is though, that all of these arent just the derivative of the trig functions, if you do it step by step you would get intermediated/dx [cos(x)] d/dx [x] . -sin(x) 1 . Type in any integral to get the solution, steps and graph int(sin2x )/(1cos2x)dx-ln(1cos2x)C At first glance, this one seems like a toughie Get the answer to Integral of sin(x)2 with the Cymath math problem solver - a free math equation solver and math solving app for calculus and algebra. Possible intermediate steps: integral sin(x) sin(2 x) dx Use the trigonometric identity sin(alpha) sin(x)-cos(3 x)) dx Integrate the sum term by term and factor out constants: 1/2 integral cos( x) dx-1/2 Повторите попытку позже. Опубликовано: 4 сент. 2013 г. This video is about integrate sin2 x dx. cos X sin X dx. so the original integral becomes.There are a LOT Of sin Xs. so lets say sinX u. it becomes. Lets use integration by parts: If we apply integration by parts to the rightmost expression again, we will get cos 2(x)dx cos2(x)dx, which is not very useful. The solution of the differential equation cos x cos y dx sin x sin y dy 0 is. Question Posted / rajasekar. Yes, thats correct! Basically, usinx du/dxcos x. Put this back into the equation, you get integrate (u3). then the final answer is .25(sin4 x). int x2sin2x dx. I am given to evaluate: Please, the result is 1/4I cant get thisshould it be just normal multiplying rule for integrals or something else? (n-1)INTEGRAL sin(n-2)(x)(1-sin2(x))dxAnother approach is to use a trigonometric identity to express sin10(x) as a sum of terms of the form. integral of x sin 2 (x) dx. attempt: Let u sin2 (x) v x u 2sinxcosx v x2 / 2.For this one: Using the identity, [tex]sin2(x)frac1-cos(2x)2[/tex], rewrite as This video is about integrate sin2 x dx. The full question is 2xsin(3x2). sin x ] sin 3x dx [ 2 sin 2x. Write back if you need more help, Penny . Simple harmonic motion: the swing of the pendulum The Guardian The slope of the curve is the rate of change ( dx/dt). When the wave is at its highest, the slope is changing quickest How to integrate sin6 x cos2 x dx. I do not know of an easy way to evaluate this integral. But heres one way that isnt too bad. Another method for integrating sec x dx, that is more tedious, but less dependent on a memorized trick, is to convert sec x dx into the integral of a rational function using the substitution y sin x int: x sin(2x) dx. This can be done using integration by parts-x/2 cos(2x) 1/2 int: cos(2x) dx. Again, by simple substitution this second integral is done and we get our final answer xsin(2x) dx (-1/2)xcos2x (1/4)sin2x You get this by using Integration by Parts. An integral in the form udv can be written as uv-vdu In.thus the given integral becomes: sinx cosx dx (1/4)sin(2x) dx (1/4) sin(2x) dx now you can reduce the order of the integrand using the half-angle identity: sinx (1/2) [1 - cos(2x) Compute sin4(x) cos2(x) dx. Solution. c2. We conclude that: sin4 x cos2 x dx. Write integrand as (sin x cos x)2 (frac12sin 2x)2 . Then use the following facts: sin2 2x 1-cos2 2x. cos2 2x frac12(cos 4x 1). Note: The original question asked for the A Reduction Formula Problem: Integrate I (sin x)n dx. Try integration by parts with. We get.du (n 1)(sin x)n2 cos x dx dv sin x dx. sin(x y) dx dy | sin(y) cos(y) dy | / /. 0 0 0. and this last integral is equal to int fracdxcos3x fracsin x2cdot cos2x frac12lnleft|tanleft(frac x2fracpi2right)right| . Free integral calculator - solve indefinite, definite and multiple integrals with all the steps. Type in any integral to get the solution, steps and graph sin x dx cos x C. 163. 164 Chapter 8 Techniques of Integration.2x cos(x2) dx. This is not a simple derivative, but a little thought reveals that it must have come from. It means we have to find the sin2x dx. As we know the trigonometry identity of sin( xy)sinxcosy cosxsiny. By putting xy we will get. Answer: d/dx(sinx) cosx, so use substitution.intu(-2) du which evaluates to -1/u C. Reverse the substitution to finish: int cosx/ sin2x dx -1/sinx -cscx. The integral int sin6 x dx has to be determined. (Some more advanced calculators can.) integral of (cos 2x cos x) dx How to integrate sin(2x) / cos3(x)? SOLUTION Simply substituting u cos x isnt helpful, since then du sin x dx. In order to integrate powers of cosine, we would need an extra sin x factor. To integrate sin2x cos2x, also written as cos2x sin2x dx, sin squared x cos squared x, sin2(x) cos2(x), and (sin x)2 (cos x)2, we start by using standard trig identities to to change the form. Z Z integral of sin 2x /8 - 1/16 cos 2x to integrate sin 2x cos 2 2x put cos 2x t then 2 sin 2x dx dt we get t2 dt/2 integrating we get t3/6 Free derivative calculator - differentiate functions with all the sin 3x cosx dx ( integrate sin x/cos3 x dx ) No. Though youre just a 10th grade student, you know how to solve integrals. 2. Relevant equations I know the integral of sin(x)dx -cos(x) C. 3. The attempt at a solution What I did was to say that the integral is -cos( 2x) C, which isnt the correct answer Rahul Pillai. how to integrate. f (log(sin x ))dx. Varun Nagarajan. what is integral of log( x)? cos(x)dx d(sin(x)). giving 2sin(x)d(sin(x)), or 2zdz by replacing sin( x) by z. >>also is there a general pattern for integral like this ? Int dx/(sinxcosx) Int (cosx-Sinx)dx/(Cos2x-sin2x) Int cosx dx/ (1-2Sin 2x) - Int sinx dx/ (2cos2x-1) (.1).lets now plug-in the value of sin x and cosx in (1). sin x cos x. Integral. sin x dx - cos x C. Eulers formula. For each of these, we simply use the Fundamental of Calculus, because we know their corresponding derivatives. cos( x) sin(x), cos(x) dx sin(x) c. The good news is that your indefinite integral is correct, but off by 1/24, which can be absorbed in the integration constant. Depending on how you integrated, it could give equivalent results of: (3sin( x) There are Cinfty test functions in L1(0, infty) that make the integral value of int0infty(sin x/x) phi(x) dx range from 0 to infty. What does narrowing these test For each of these, we simply use the Fundamental of Calculus, because we know their corresponding derivatives. cos( x) sin(x), cos(x) dx sin(x) c. Find: (intergrate) 2sin3x sin 2x dx? Type in any integral to get the solution, steps and graph Find: (intergrate) 2sin3 x sin 2x dx? Related QuestionsMore Answers Below. How can I integrate sin(x) /sin(4x)?What is integral sin (cos x).dx? integrate 1/(sinx cosx) dx. For the second integral, use u sin(x), du cos(x)dx. and now the substitution u cos(x), so that du -sin(x)dx, makes that a polynomial integtration: Of course, if m is odd, you can do the same thing, switching "sine" and "cosine". Use the half angle formula, sin2(x) 1/2(1 - cos(2x)) and substitute into the integral so it becomes 1/2 times the integral of (1 - cos( 2x)) dx. Example: sin3(x) sin2(x) sin(x). Hence the given integral may be written as followsWe now let u cos(x), hence du/dx -sin(x) or -du sin(x)dx and substitute in the given intergral to obtain.

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http://softmath.com/math-com-calculator/distance-of-points/algebra-long-divider.html

math

Try our Free Online Math Solver! 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http://pballew.blogspot.com/2008/07/easy.html

math

Some calculations are easier than you think! I’m drawn to math that can be done on a napkin at a restaurant. Quick mental calculations and methods of approximation that give you the ball park quick answer…”It’s about …blah.” and then I try to look as if I don’t think I’m really clever. I had a couple of these come up recently, so I thought I would share… One was at a backyard barbecue…an electrical engineer, a graduate physics student, and a math teacher, beers in hand as the hamburgers burned and the hot dogs turned to charcoal… One had just come back from New York City and pointed out that the Empire State bldg. was 1224 feet high to the upper observatory… then someone brought up the old conjecture that a penny dropped from the Empire State building would kill you. The engineer suggests that in truth the penny would reach some terminal velocity that would keep it from actually killing anyone. The physics student suggests that it would not be too hard to figure out using differential equations if we just ignored the air resistance, but he didn’t have his calculator (which apparently is his main resource for doing integration). The math teacher offers, “Well, with only high school math and physics, and a little mental calculation, it should be about 280 feet per second.” A long silence, followed by “How did you get that number?” So I explained. In physics the big ideas often provide great simplifications…and in this case the big idea was the conservation of energy laws…. The total energy remains constant. The Penny on the 102nd floor has a potential energy equal to its weight times its height. When it hits the ground the potential energy has all been converted to kinetic energy (and a very small amount of heat due to air friction which I ignore) . Epot= m g h and Ekin = ½ m v2. Cancel the mass on each side and we have gh = ½ v2. If we use the common value of 32 ft/sec2 for the gravitational force, then we can simplify this all down to v2= 64 h.. or taking square roots, we get v= 8 times the square root of h…. Now the square root of 1224 is about the same as the square root of 1225 which is 35 (one of those multiplication tricks I teach my students each year) and 8 x 35 = 280, so the answer is about 280 ft/second. They both look incredulous… so I offer a second approach… OK, an object dropped from rest will fall 16t2 feet in t seconds. To fall 1224 seconds it would take t=sqrt(1224/16) and taking the square root of top and bottom we get 35/4 seconds… OK, so velocity is 32 times t, so 32 times 35/4 = (wait for it…. ) 8 x 35 = 280 again… “Easier than you thought… right” The second event corrected a misconception I have had for years. I have mentioned earlier that one of my preoccupations on the road is looking at mile markers and license plate numbers and trying to factor them. I know all the easy tricks for divisibility by small numbers, except seven…. The rules for divisibility by seven always seemed harder than just dividing by seven, so I was surprised to read a note from a guy who seems to have invented (I never saw it before) an easy way to test divisibility by seven Without going into the derivation, here is the rule. Take the number, call it N, and think of it as 10A + B. For example if the number is 2345 the A = 234 and the B= 5. Now the method is just to calculate A-2B and if that answer is divisible by seven, so is the original. And if you don’t know, just reapply the same rule again. For example 2345 is divisible by 7 only if 234-10 = 224 is also….which can be applied again with 22-8 = 14… ohh….. I KNOW that is a multiple of seven, so 2345 is also a multiple of seven, in fact it is 7 x 335. This is getting a little long, so on a later day I’ll explain how he found it, and even show you a method I found for testing 13 which is almost as easy, and another for testing divisibility by 17… as the tv folks say….stay tuned

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http://gsjournal.net/Science-Journals/Research%20Papers/View/6108

math

June 24, 2015 Absolute time, relative time, absolute space, relative space, fractal theory, variable dimension fractal, complicated time, complicated space Based on materialist dialectics, both`time and space have the duality, namely absoluteness and relativity. If absolute time and absolute space cannot exist, then relative time and relative space cannot exist too; vice versa. However, they aren’t equal. Absolute time and absolute space are more important, because they are the reference systems of relative time and relative space respectively. In addition, the absolute space is flat, while the relative space may be flat also may be curving. As for the dimensions of time and space, it is an extremely complicated question, we need to discuss the complicated time and the complicated space. The absolute space is three-dimensional, the absolute time is one-dimensional that is formed by the three-dimensional absolute time. For the relative space, it may have the multi-dimensional space, fractal dimensional space, plural dimensional space, variable dimensional space. For the relative time, it may have the multi-dimensional time, fractal dimensional time, plural dimensional time, variable dimensional time too, they are corresponding to the relative spaces. In other words, the relationship between space and time is the one by one corresponding relations.

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https://gufo.me/dict/ruen_zimmerman/%D1%86%D0%B5%D0%BB%D1%8B%D0%B9_%D1%80%D1%8F%D0%B4

math

• In any problem of major importance it is good to have a diversity of approaches. • A variety (or A number) of techniques are used. • During the past half-century physicists have built a succession of particle accelerators. • With solution chromatography, a large (or great, or wide) variety of detection techniques have been employed. • The instrument will serve a broad range of astronomical purposes.

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CC-MAIN-2019-47

https://research-repository.st-andrews.ac.uk/handle/10023/24053

math

On separability finiteness conditions in semigroups MetadataShow full item record Taking residual finiteness as a starting point, we consider three related finiteness properties: weak subsemigroup separability, strong subsemigroup separability and complete separability. We investigate whether each of these properties is inherited by Schützenberger groups. The main result of this paper states that for a finitely generated commutative semigroup S, these three separability conditions coincide and are equivalent to every H -class of S being finite. We also provide examples to show that these properties in general differ for commutative semigroups and finitely generated semigroups. For a semigroup with finitely many H -classes, we investigate whether it has one of these properties if and only if all its Schützenberger groups have the property. Miller , C , O'Reilly , G , Quick , M & Ruskuc , N 2022 , ' On separability finiteness conditions in semigroups ' , Journal of the Australian Mathematical Society , vol. 113 , no. 3 , pp. 402-430 . https://doi.org/10.1017/S1446788721000124 Journal of the Australian Mathematical Society DescriptionFunding: The first author is grateful to EPSRC for financial support. The second author is grateful to the School of Mathematics and Statistics of the University of St Andrews for financial support. Items in the St Andrews Research Repository are protected by copyright, with all rights reserved, unless otherwise indicated.

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http://physics.stackexchange.com/questions/tagged/superposition+wavefunction-collapse

math

Suppose there is a particle in space. When we measure the position of that particle, we get a particular value with a probability that can be calculated from the wave function. But, according to the ... Schrödinger’s cat, the thought experiment, makes it seem like as if measurement can cause a system to stop being in a superposition of states and become either one of the states (collapsed). So does ... According to wave function collapse you only have one outcome, so what happens to the other superpositions? If the superpositions of a wave function are not needed because only one of the superpositions is allowed, what happens to the eigenvalues of the "null" superpositions? Is the energy transferred ...

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CC-MAIN-2013-20

http://mathforum.org/t2t/message.taco?thread=1722&message=1

math

To: Teacher2Teacher Service Date: Jul 04, 1999 at 02:00:31 Subject: Teaching probability and statistics Where can I find probability and statistics curriculum that will assist me in teaching students having problems with the topics. I am looking for many examples that explain the procedures. Is there a site or forum on the web where I can ask questions? Math Forum Home || The Math Library || Quick Reference || Math Forum Search

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CC-MAIN-2018-05

https://emanuelecolucci.com/2011/06/image-and-video-quality-assessment-part-two-ssim-index/

math

In this second part, I will show another metric used in video quality evaluation: the Structural SIMilarity Index (SSIM). In the previuos article, we saw that PSNR and MSE are not always reliable in every situation, so we need a more accurate metric that’s able to cover a wider spectrum of distorsions and losses in video information. Images are highly structured, so in order to evaluate the quality of a copy you need to measure not only the variations of pixels value than the reference sample, but also the structural distorsions introduced. The first step therefore is to distinguish the structures in a scene. The luminance of the surface of an object is the product of illumination and the reflectance, but its structure is independent of the illumination, so the structural information of an image is defined as the set of attributes that form the structure of the objects represented in the scene, regardless of the average luminance and contrast. Since these two characteristics may vary within the scene, they have to be considered in a local way. How it works Let X and Y two NxM arrays representing the (Y) luminance channel of the frames to evaluate; X represents the reference copy, while Y the lossy/distorted sample. Let x and y their monodimensional versions, obtained by merging together the columns (or the rows) of the bidimensional arrays. This is a useful step in order to eliminate a summation in formulas and to write a cleaner code in numerical softwares, but doesn’t affect the generality of this treatment. Let N = NxM for simplicity. So, the first step is to measure the luminance of x and y, which is understood as the the average of their values, here respectively indicated as μx and μy: Then, the function for the comparison of the luminance, l(x,y), is defined as follows: Where C1 = (K1L)2, with K1 is an arbitrary constant (<< 1) usually set to 0.01 and L is equal to the maximum possible pixel value of the image (or, more specifically, of the luminance channel); so, if are used 8 bits per sample, L = 28-1 = 255. Next, luminance’s information is removed by calculating the standard deviations of the two images (respectively indicated as σx and σy), in order to obtain their average contrast: And now, the contrasts are compared by using the following function: As you could expect, C2 is a constant usually equal to (K2L)2, with K2 << 1 and usually set to 0.03. The third piece of the puzzle is the structure comparison function s(x,y), that remembers Pearson’s correlation index between two signals: With C3 = C2/2, and Finally, here is the SSIM Index: The exponents α, β and γ, greater than zero, are parameters used to calibrate the weight of the three functions in the measurement; typically, α = β = γ = 1, so the SSIM Index can be rewritten as follows: As the index of structural similarity approaches 1, the greater the degree of fidelity of the encoded copy is close to the original. In evaluating the quality of the images, however, the given SSIM Index is not applied directly to the entire image: it’s preferred to work locally because the characteristics of a scene are space-varying. Therefore a circular symmetric Gaussian window of size 11×11 and standard deviation of 1.5 is introduced, that moves the entire image pixel by pixel, producing a function with appropriate weights, changing the parameters of brightness, contrast, and covariance as follows: Let M the number of windows applied to the frames: M previously defined SSIM Indexes are generated, and it’s possible to define a new index (usually called MSSIM) by averaging the M measures: The adoption of this last version of SSIM Index is widespread. A great Matlab implementation can be downloaded directly from the web page of the “fathers” of this metric: https://ece.uwaterloo.ca/~z70wang/research/ssim/. Take a look to (d): it shows a good SSIM Index, but – if you remember Part 1 – it has a very low PSNR (12.95 dB); this is one of the many reasons that makes SSIM more reliable than PSNR in a wide spectrum of situations. Read more and external sources - MSE, PSNR and the need of a new index (SSIM): Mean Squared Error: love it or leave it? A new look at Signal Fidelity Measures. Wang Zhou, A.C. Bovik. Signal Processing Magazine IEEE. Volume: 26, Issue: 1. Publication Year: 2009, Page(s): 98 – 117. - Kodak lossless true color image suite. - Xiph.org test media.

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http://sppaperlqmw.soalmatematika.info/a-general-formula-for-duration.html

math

A general formula for duration Working with time duration, not time of day ask question i have to look at the formula to check whether i entered the data correctly [and didn't screw up the formula] your data fields where you are entering in your times should need to be changed from general or number format to the custom format of hh:mm. General format as hh:mm:ss00 formula or constant as long as you have date & time in each cell as entered by excel you simply subtract the earlier timestamp from the later timestamp to get a differences in days and/or hours and/or minutes but since months do not have the same number of days and years don't have the same number of. Quadratic functions(general form) quadratic functions are some of the most important algebraic functions and they need to be thoroughly understood in any modern high school algebra course the properties of their graphs such as vertex and x and y intercepts are explored interactively using an html5 applet. Projectile motion, general solution back projectile motion curved motion physics contents index home what follows is a general solution for the two dimensional motion of an object thrown in a gravitational field. A general formula for computing the coefficients of the correlation connecting global solar radiation to sunshine duration. Loan balance situation: a person initially borrows an amount a and in return agrees to make n repayments per year, each of an amount pwhile the person is repaying the loan, interest is accumulating at an annual percentage rate of r, and this interest is compounded n times a year (along with each payment)therefore, the person must continue paying these installments of amount p until the. So this is a geometric series with common ratio r = –2 (i can also tell that this must be a geometric series because of the form given for each term: as the index increases, each term will be multiplied by an additional factor of –2) the first term of the sequence is a = –6plugging into the summation formula, i get. The formula for the energy of motion is ke = 5 × m × v 2 where ke is kinetic energy in joules, m is mass in kilograms and v is velocity in meters per second force and work newton's three laws of motion form the basis for classical physics. Applying the damages formula to her claim, an insurance adjuster would begin with a figure of between $900 and $3,000 (15 to 5 x $600) this would then be added to mary’s lost income of $400 to get the figure from which negotiations would begin as compensation for mary’s injuries. This is the aptitude questions and answers section on time and distance important formulas with explanation for various interview, competitive examination and entrance test solved examples with detailed answer description, explanation are given and it would be easy to understand. The general format is the default number format that excel applies when you type a number for the most part, numbers that are formatted with the general format are displayed just the way that you type them however, if the cell is not wide enough to show the entire number, the general format rounds numbers that have decimals the general number format also uses scientific (exponential. A general formula for the generation time fran˘cois bienvenu 1, lloyd demetrius2,3, and st ephane legendre 1team of mathematical eco-evolution, ecole normale sup erieure, paris, france 2department of organismic and evolutionary biology, harvard university, usa 3max planck institute for molecular genetics, berlin, germany 10/06/2013. 21-110: finding a formula for a sequence of numbers it is often useful to find a formula for a sequence of numbers having such a formula allows us to predict other numbers in the sequence, see how quickly the sequence grows, explore the mathematical properties of the sequence, and sometimes find relationships between one sequence and another. This video explains how to use the distance formula on two points time is also taken to explain the exact answer it returns vs the decimal approximation which can be a bit more useful. A general formula for duration In this lesson we'll take a look at the number format called general the general format is excel's default format for all cells in a new worksheet, all cells have this format. Duration and convexity bond prices change inversely with interest rates, and, hence, there are several formulas for calculating the duration of specific bonds that are simpler than the above general formula the formula for the duration of a coupon bond is the following. The weighted average formula is a general mathematical formula, but the following information will focus on how it applies to finance use of weighted average formula the concept of weighted average is used in various financial formulas. Tip: if your cell is formatted as general and you enter the time function, excel will format your result as h:mm am/pm (column e) based on your regional settings if you wish to see the decimal result (column d) from the time function, you will have to change the format of the cell to general after entering the formula. Enter your desired formula into the 2nd row of the column you want to fill make sure to use $ for any referenced cells where the row stays the same for all equations select the cell containing the formula, and press ctrl + shift + down. General approach to measuring the duration of liabilities for property-liability insurers has been to calculate a weighted average of the time to payment for loss reserves (campbell, 1995 hodes and. How about the inverse problem, i have an elapsed time in format of hh:mm (hours and minutes), i would like to covert to a general number for costing purposes in other words 2:06 (2 hours six minutes) = 21 hours. (1) column 3a shows duration increasing with maturity, but less than proportionately (2) column 4a compared with 3a shows that a decline in yield to maturity (from 1175% to 675%) increases duration, especially for the longer maturities. A problem on how to determine the rate of a reaction given a) the balanced chemical equation, b) the change in concentration for any reactant or product, and c) the time interval during which the. Extract time from a date-time number in excel i have a worksheet that tracks start and stop times for different events throughout the day, all during the week sometimes i have to pull out the time of day, irrespective of the date, with the time function. Determining the length of an irregular arc segment is also called rectification of a curvehistorically, many methods were used for specific curves the advent of infinitesimal calculus led to a general formula that provides closed-form solutions in some cases. Enter the world of formula 1 your go-to source for the latest f1 news, video highlights, gp results, live timing, in-depth analysis and expert commentary.

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CC-MAIN-2018-47

https://authors.library.caltech.edu/records/9mn70-wz312

math

Stable Self-Similar Profiles for Two 1D Models of the 3D Axisymmetric Euler Equations Global regularity of the Euler equations in the three-dimensional (3D) setting is regarded as one of the most important open questions in mathematical fluid mechanics. In this work we consider two one-dimensional (1D) models approximating the dynamics of the 3D axisymmetric Euler equations on the solid boundary of a periodic cylinder, which are motivated by a potential finite-time singularity formation scenario proposed recently by Luo and Hou (PNAS 111(36):12968–12973, 2014), and numerically investigate the stability of the self-similar profiles in their singular solutions. We first review some recent existence results about the self-similar profiles for one model, and then derive the evolution equations of the spatial profiles in the singular solutions for both models through a dynamic rescaling formulation. We demonstrate the stability of the self-similar profiles by analyzing their discretized dynamics using linearization, and it is hoped that these computations can help to understand the potential singularity formation mechanism of the 3D Euler equations. © 2016 Springer International Publishing Switzerland.

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CC-MAIN-2023-50

https://journals.pnu.edu.ua/index.php/cmp/article/view/1319

math

On stabilization of Poisson integral for equations of Kolmogorov type Keywords: ultraparabolic equations, Kolmogorov equations, stabilization, Poisson integral Published online: 2013-12-30 Stabilization of Poisson integral for Kolmogorov equations is studied. Such equations have three groups of variables with degeneration of parabolicity. How to Cite Malytska H., Burtnyak I. On Stabilization of Poisson Integral for Equations of Kolmogorov Type. Carpathian Math. Publ. 2013, 5 (2), 290-297.

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CC-MAIN-2023-23

https://marginhound.com/calculators/cagr

math

Your investment grew from $10000 to $20000 over a period of 5 periods at a compounded growth rate (CAGR) of 14.87%. 14.87% is the average rate of change for the value and assumes this change was compounded every period. This calculator determined the CAGR (Compound Annual Growth Rate) of an investment or business. This metric is used to measure how much the statistic you're analyzing (can be anything - a stock, a bond, company sales) has changed in each period between the start and end of the analysis. This may also be called an average rate of change calculator. This is useful when the item being analyzed may have ups and downs over long periods. For Example, consider the stock below: Assume you were an investor in 2003 and had to make a decision about buying this stock. Earnings have been all over the place! How would you come up with a reasonable estimate of the average rate of change? CAGR is a simple way to smooth out the noise. For example, while earnings dropped in the 2000 reccession, you can point to a longer term trend - if we compared 1998 earnings ($.50) with 2002 earings ($1.25) and feed them into the CAGR calculator, we learn that earnings grew at a compounded rate of 20%. You can also use this average rate of change calculator as a simple compound interest calculator. If I buy that stock at $14, hold it for 5 years, and sell it for $30 - what is my annual rate of return? By using the CAGR calculator, I can determine that my return was: 16.47%. Not bad!

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CC-MAIN-2023-23

https://www.mendellawfirm.com/rule-72/

math

We all know the power of compound interest, and the Rule of 72 is a simple and elegant mathematical expression of that concept. It’s also a quick and easy way to figure out how long it will take an investment to double, and the only information you need to make the calculation is a fixed annual rate of return for the investment in question. How does it work? You divide 72 by the rate of return, and you’ll get a rough estimate of the number of years it will take for your money to double. So, for example, $5,000 invested at 4% would take 18 years (72/4 =18) to become $10,000. The rule works “in reverse” as well. If you have a certain time period over which you’d like to double your investment, you can use the rule to determine what rate of return you’ll need. For example, if you wanted that same $5,000 to double within a 6 year time period, you’d divide 72 by 6, revealing the need to find an investment with a 12% annual rate of return. A word of caution: the Rule only provides a rough estimate, and it’s more accurate when it’s applied to lower interest rates. And, of course, it’s best used for quick mental math, and not to guide any major financial decision-making. You can find a Rule of 72 calculator, plus a calculator that estimates other growth factors, here.

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CC-MAIN-2023-40

https://www.worksheetanswers.com/quadratic-functions-worksheet-with-answers/

math

Quadratic Functions Worksheet With Answers. You can choose the magnitude of the “a” time period and the direction during which the parabola opens. With the help of the group we are ready to proceed to enhance our academic sources. The sides of an equilateral triangle are shortened by 12 items, 13 items and 14 units respectively and a right angle triangle is formed. Find the vertex of the given quadratic functions through the use of the technique of finishing the square. These Algebra 1 – Quadratic Functions Worksheets produces issues for fixing quadratic equations by factoring. The quadratic equations worksheet will help students apply the usual form of quadratic equations and discover methods to remedy the quadratic equation. These worksheets will help the students of sophistication 10 to practice more for board exams. These Algebra 1 – Quadratic Functions Worksheets produces problems for solving quadratic equations with the quadratic formula. - Bernadette throws the javelin for her school’s track and subject group. - You can select the magnitude of the “a” time period and the course by which the parabola opens. - Find the vertex of the given quadratic capabilities through the use of the strategy of finishing the square. - With the assistance of the neighborhood we can continue to enhance our academic assets. - The sides of an equilateral triangle are shortened by 12 items, 13 items and 14 models respectively and a proper angle triangle is shaped. Also you’ll find a way to change the assorted translated capabilities using the three other enter bins which are labeled a, b, and c. If you want to reposition the display you need to use the tool at the high of the screen that appears like 4 arrows to drag the display screen to a unique place. [newline]Also you have to use the pointer button at the prime of the display screen to tug the perform f to show how the opposite functions change. The file could be run by way of the free on-line application GeoGebra, or run domestically if GeoGebra has been put in on a pc. The sides of an equilateral triangle are shortened by 12 models, thirteen models and 14 units respectively and a proper angle triangle is formed. - 1 Example Query #1 : Graphing Parabolas - 2 A 7a Parts Of Quadratic Functions Scavenger Hunt - 3 Related posts of "Quadratic Functions Worksheet With Answers" Example Query #1 : Graphing Parabolas The point $(x,h)$ is identical as $(x,-2f)$ so the graph of $h$ is the same because the reflection of the graph of $2f$ concerning the $x$-axis. So the values of $f$ are first doubled, exaggerating the slope of the graph, after which the graph is mirrored concerning the $x$-axis. Engage your students with efficient distance learning resources. Deciphering Solutions Of Quadratic Features In the reasonable stage, the x-values are decimals or fractions. Factorize every quadratic perform and write the function in intercept kind. Practice this array of worksheets to realize expertise in factoring the function, finding zeros and converting quadratic function to intercept type. The graph below exhibits essential attributes of the graph of a parabola that you ought to use to research and interpret the graphs of quadratic capabilities. We’re going to investigate the graphs of quadratic capabilities. Google Sheets Digital Pixel Artwork Math Linear Equations: Identifying Key Options Substitute the values of x in the quadratic perform to determine the y values. To facilitate a simple practice, the coefficients and x-values are provided in integers. These Algebra 1 – Quadratic Functions Worksheets produces problems for finishing the sq.. A 7a Parts Of Quadratic Functions Scavenger Hunt Corbett Maths provides outstanding, unique exam type questions on any topic, in addition to videos, previous papers and 5-a-day. Find if the given values are the answer of the given equations. As a member, you will also get unlimited entry to over eighty four,000 classes in math, English, science, historical past, and more. Plus, get follow checks, quizzes, and personalized teaching that can assist you succeed. With a and c mounted, observe the impact of change of worth of ‘b’on the graph and reply the next questions. By setting every bracket equal to zero and fixing, we get the required solutions. By contrast, a parabola of the shape rotates concerning the vertical axis, not the horizontal axis. As the adverse check in entrance of theterm makes flips the parabola about the horizontal axis. If the parabola opens downward, the vertex is a maximum level, and if the parabola opens upward, the vertex is a minimal level. The x-intercept is the point, or factors, the place the parabola crosses the x-axis. There may be 0, 1, or 2 x-intercepts, depending on the parabola. Algebra 1 Unit 7: Quadratic Features As the title may counsel, this worksheet helps the student follow graphing a quadratic equation from each vertex and intercept form. Good for the Algebra 1 or Algebra 2 pupil, or as a refresher for the Geometry scholar. This set of quadratic operate worksheets incorporates workout routines on evaluating quadratic functions for the given x-values. The x-values are integers in the straightforward stage worksheets. Pick some earlier than and after the AOS and plug into your equation. This graph represents the peak of a diver vs. the time after the diver jumps from a springboard. Answer the next questions primarily based on the data. As you accomplish that, discover the parabolas being created by the experimenters. One may be represented with a quadratic perform, and one with a linear operate. Students must graph the heights of the objects over time and reply questions that may lead to important serious about this distinctive system of equations. Math worksheet on quadratic equations will assist the scholars to practice the usual type of quadratic equation. Practice the quadratic equation and discover methods to remedy the quadratic equation. This Algebra 1 – Quadratic Functions Worksheets will produce issues for working towards graphing quadratic perform from their equations. You can select the magnitude of the “a” time period and the path in which the parabola opens. Students can obtain the PDFs of quadratic equations worksheets here. We’re going to research and analyze graphs of quadratic capabilities and then interpret these graphs inside the context of the state of affairs. Analyze graphs of quadratic features and interpret those graphs throughout the context of the state of affairs. The students can both sketch the graphs by hand or use graphing calculators.

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CC-MAIN-2023-14

http://www.scmp.com/article/668475/mark-six

math

Three tickets each won the first prize of HK$6,222,920 in last night's draw. The winning numbers were 4, 9, 10, 14, 24 and 29. The extra number was 38. Four tickets each won the second prize of HK$494,585. The third prize paid HK$15,425. Tuesday's draw will have a first prize of HK$5 million.

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CC-MAIN-2016-36

https://www.quesba.com/questions/economics/monetary-policy

math

1.       Why did adverse selection occur in the health insurance exchanges? 2.        How did health insurers respond to adverse selection? 3.       What are alternative approaches for subsidizing health insurance for those with a preexisting condition? 1.       What change did the ACA institute that was of major importance in the individual market that any replacement plan would likely maintain in one form or other? 2.       How effective was the individual mandate in expanding the exchange risk pools? 1.       Why did the government decide not to implement the CLASS Act? 2.       What were the ACA’s approaches for reducing the number of uninsured? 1.       How can Medicaid be changed so it is not a low-cost substitute for private LTC insurance for the middle-income aged? 2.       Why does private LTC insurance, when sold to the aged, have such a high loading charge relative to the pure premium? 1.       What should be the objectives of an LTC policy? How do these objectives differ from the LTC goals of the middle class? 2.       . Why has the market for LTC insurance grown so slowly? 1.       What are alternative ways for treating Medicare under national health insurance? 2.       Describe the demographic and economic trends affecting the outlook for LTC. Outline (and justify) a proposal for national health insurance. As part of your proposal, discuss the benefits package, beneficiaries, method of financing, delivery of services, and role of government. How well does your proposal meet the criteria discussed in the chapter? 1. Discuss the criteria that should be used for evaluating alternative national health insurance proposals. 2. Evaluate the desirability of the following types of taxes for financing national health insurance: payroll, sales, and income tax. 1.       How does the ACA employer mandate differ from previous employer mandate proposals? 2.       What is the justification for requiring everyone (all those who can afford it) to purchase a minimum level of health insurance? 1.       Does an employer-mandated health insurance tax have a regressive, proportional, or progressive effect on the income of employees and consumers? 2.       Which groups favor and which groups oppose an employer mandate for achieving national health insurance? Why?

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CC-MAIN-2021-04

https://www.clutchprep.com/physics/practice-problems/39597/a-spatially-homogeneous-magnetic-field-changes-in-time-according-to-the-equation

math

A spatially homogeneous magnetic field changes in time according to the equation B = B0(3t 2 + t + k) where B0 and k are constants. The field "flows" through a fixed area A with an inclination angle φ = 60° with respect to the (perpendicular to the) area. Find an algebraic expression for the emf induced around a circuit enclosing the area A, as a function of time. Frequently Asked Questions What scientific concept do you need to know in order to solve this problem? Our tutors have indicated that to solve this problem you will need to apply the Faraday's Law with Calculus concept. You can view video lessons to learn Faraday's Law with Calculus. Or if you need more Faraday's Law with Calculus practice, you can also practice Faraday's Law with Calculus practice problems. How long does this problem take to solve? Our expert Physics tutor, Juan took 3 minutes and 27 seconds to solve this problem. You can follow their steps in the video explanation above.

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CC-MAIN-2020-50

https://store.doverpublications.com/0486832813.html

math

Written by a pair of math teachers and based on their classroom notes and experiences, this introductory treatment of theory, proof techniques, and related concepts is designed for undergraduate courses. No knowledge of calculus is assumed, making it a useful text for students at many levels. The focus is on teaching students to prove theorems and write mathematical proofs so that others can read them. Since proving theorems takes lots of practice, this text is designed to provide plenty of exercises. The authors break the theorems into pieces and walk readers through examples, encouraging them to use mathematical notation and write proofs themselves. Topics include propositional logic, set notation, basic set theory proofs, relations, functions, induction, countability, and some combinatorics, including a small amount of probability. The text is ideal for courses in discrete mathematics or logic and set theory, and its accessibility makes the book equally suitable for classes in mathematics for liberal arts students or courses geared toward proof writing in mathematics. Slightly corrected reprint of the Zinka Press, Wayne, Pennsylvania, 2005 edition. |Availability||Usually ships in 24 to 48 hours| |Author/Editor||Amy Babich, Laura Person| |Dimensions||6 x 9|

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CC-MAIN-2023-40

https://as.axahealthkeeper.com/98jkght/d891ri.php?35d6c0=sif4-molecular-geometry-bond-angles

math

But before taking any final decision, I suggest to check the VSEPR structure and then decide as per the diagram. ), The Lewis structure of SF4 is the combination of 34 valence electron and 5 electron pairs around the Sulfur, in which there are four bonding pairs and one lone pair. or greater than it? In the geometry, three atoms are in the same plane with bond angles of 120°; the other two atoms are on opposite ends of the molecule. So, SF4 is polar. How scientists got that number was through experiments, but we don't need to know too much detail because that is not described in the textbook or lecture. The overall shape is described as see-saw. and types of electrons pairs; magnitude of repulsions between them to arrive at The appearance of SF4 is like a colorless gas. Hint: There is now lone pair on P. Question Determine the electron geometry (eg) and molecular geometry (mg) of SiF4. If the charge distribution is symmetric, it is non-polar. So, this was the explanation about SF4. increase in the volume occupied by electron pair(s). In NSF3, there is a triple bond between N and S. Hence the than in other cases. SO3 Molecular Geometry, Lewis Structure, and Polarity Explained, O3 Lewis Structure, Polarity, Hybridization, Shape and Much More, CS2 Lewis Structure, Hybridization, Polarity and Molecular Shape, NH3 Molecular Geometry, Hybridization, Bond Angle and Molecular Shape, PCL3 Molecular Electron Geometry, Lewis Structure, Bond Angles and Hybridization. question, Next question SF4 covers under ‘Trigonal Bipyramidal’ because of its electron arrangements. electrons pairs on atoms connected to central atom. Some elements in Group 15 of the periodic table form compounds of the type AX 5; examples include PCl 5 and AsF 5. It linked by lines i.e. 109 o 28' In POF 3 , there is a double bond between P and O, which also causes more repulsion than single bond, but less than the triple bond. Isn’t drago’s rule being violated in your answer? This electron arrangement is known as ‘Trigonal Bipyramidal.’. After all this process, the last hybrid orbital contains a lone pair. bonds are single bonds, which exert less repulsion on other bond pairs. Thanks a lot of helping out.. As we have discussed, SF4 has one lone pair and four sigma bonds of F. The central atom is S. So in simple terms, we can say that its bonding regions are four with the one lone pair. Preparation. In this structure, Sulfur is the least electronegative element and so transfers in the middle of the structure, and the diagram gives a three-dimensional structural information. But what about drago’s rule. You can also look at its molecular geometry. * First write the Lewis dot structures for the molecules and find the number The reason is that the lone pair prefers one of the equatorial positions. sif4 polar or nonpolar 3 November 2020 by The three-dimensional arrangement of the fragment or atoms which create a molecule by getting together is known as Molecular Geometry. So, this was the explanation about SF4. >. For bent molecular geometry when the electron-pair geometry is tetrahedral the bond angle is around 105 degrees. the bond angle is maximum i.e. the relative bond angles. This will reduce the bond angle more SF4 Molecular Geometry, Lewis Structure, and Polarity – Explained. Molecule polarity gives the acknowledgment regarding the molecule’s solubility, boiling point, etc. For other informative articles, kindly stay connected with geometry of molecules and if you have any other queries, leave a message in the comments section. valence electrons (associated with an atom. Here, there is only one lone pair around the central atom (Sulfur) which is an odd number. The bond angle is least affected in case of SiF 4, since all the Si-F bonds are single bonds, which exert less repulsion on other bond pairs. in triple bond occupies more space, it exerts more repulsion than that of double 4 I hope you got all the answers of what you were looking for! With 2P-orbitals, there are overlapped four of the hybrid orbitals. Using the example above, we would add that H 2 O has a bond angle of 109.5° and CO 2 would have a bond angle of 180°. A) eg=tetrahedral, mg=trigonal pyramidal B) eg=octahedral, mg=square planar C) eg=trigonal bipyramidal, mg=trigonal pyramidal ... Place the following in order of increasing X-Se-X bond angle, where X represents the outer atoms in each molecule. It is also hazardous as it is highly toxic and corrosive. The reason is that the lone pair prefers one of the equatorial positions. Just like this molecule – SF4. SF4 stands for Sulfur tetrafluoride. The equatorial F atoms are 120 from each other., so the axial/equatorial bond angle is … Here, SF4 bond angles are around 102 degrees in the equatorial plane and around 173 degrees between the axial and equatorial positions. Determine the electron geometry (eg) and molecular geometry (mg) of CO32⁻. A) eg=tetrahedral, mg=trigonal pyramidal B) eg=octahedral, mg=square planar C) eg=trigonal bipyramidal, mg=trigonal pyramidal ... Place the following in order of increasing X-Se-X bond angle, where X represents the outer atoms in each molecule. The bond angles of a molecule, together with the bond lengths (Section 8.8), define the shape and size of the mole-cule. Electron-pair Geometry: Molecular Geometry: Bond Angle: 2: 0: linear: linear: 180: 3: 0: … 1) Write the complete Lewis dot structures of above molecules indicating Therefore, tetrahedrals have a bond angle of 109.5 degrees. The bond angle is least affected in case of SiF4, since all the Si-F The axial F atoms are 180 degrees from each other. (VSEPR – Valence Shell Electron Pair Repulsion theory). The number of valence electrons is 34 and 5 electron pairs. paper, < Previous The other explanation goes like this: Two S-F bonds are opposite from each other, in complete 180 degrees. Amazing Explanation!!! Since the electron density Thanks for your article. You will get a reply from the expert as soon as possible. The advantage of this structure is that it shows the chemical connectivity and bonding of all the particles which are associated with atoms and the reactivity of a molecule. Hunting accurate information is among the biggest issues for the younger generation. Here, SF4 bond angles are around 102 degrees in the equatorial plane and around 173 degrees between the axial and equatorial positions. The molecular formula is number and varieties of particles available in the group of atoms. The shape is like a seesaw. If you want to know that the molecule is polar or nonpolar, first of all, you should draw the Lewis structure of the molecule. … Give the approximate bond angle for a molecule with a tetrahedral shape. But the other two S-F bonds are pointing down, and that is why their bond dipoles do not cancel. Chicken Waldorf Salad With Greek Yogurt, The Rock Als Hot Pepper Challenge, Trovita Orange Wikipedia, Two Gases Insoluble In Water, Legion Y740 Specs, Ibanez Grx70qa Tks, Kingfisher School Calendar 2020-2021, Shallow Mount Pioneer Sub, Red Rock Resorts Reopening, Wfdsa Member Companies List,

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CC-MAIN-2021-17

http://www.jiskha.com/members/profile/posts.cgi?name=aisha&page=9

math

research due day 2 (tuesday) wk 6 sci/275 Exercise: Final Paper Research Due Day 2 (Tuesday) Please post in your Individual Forum · Resource: Appendix A · Review the environmental issues that are covered in this course. · Choose an environmental issue tha... CheckPoint #6: Water Resource Challenges Due Thursday *Post as an attachment** in your Individual Forum . Water Resource Challenges Review Ch. 10 and 11 of your text, then complete the following: Provide at least three freshwater and three ocean water resource challenges by fi... (x-y)/(4x+3y)=6x find dy/dx by implicit differentiation. determine whether the data in the table appears to be positively skewed, negatively skewed, or normally distributed. explain solve: 8 t - 3 1 - ---- = ------ + ---- t + 5 t + 5 3 list all of the possible rational zeros of f(x) = 3x^5 - 7x^3 + 2x - 15. state the number of positive real zeros, negative real zeros, and imaginary zeros for g(x) = 9x^3 - 7x^2 +10x - 4 Find the coordinates of the midpoint of the segment whose endpoints are (-4, 6) and (-8, -2). provinces, teritorries, and capitals of each.

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CC-MAIN-2013-48

https://www.quibblo.com/quiz/buQ5q7W/Trick-questions-or-not

math

Completed 0 of 4 questions. Danny goes to the store and buys 3 DVD's for 5 dollars each. How much money does he have now? Trick question? If you go diving for 30 minutes and after that you had ice cream for 20 minutes then you went home. You started at 3:00. What time did you get home? When you go 5 miles per hour, how many miles will you go in 2 hours?Trick question? What is the answer when you put 3 and 14 together?

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CC-MAIN-2020-45

https://www.team-bhp.com/forum/international-automotive-scene/3516-mercedes-benz-model-list.html

math

|15th January 2005, 18:14||#1| Join Date: Jun 2004 Mercedes-Benz Model List Hey Guys and Gals, The Wxxx series of Mercedes always confuses me. If you are like me, i.e. not very Techie when it comes to cars, Especially the Mercs, then this site may help shed some light on the W series. After looking at this site, I finally know that my Dad actually owned a W110, which I know as Mercedes Benz 200D (1966 model). enough of talk, here is the link. Sorry if a similar list has already been posted on the forum.

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CC-MAIN-2021-31

https://cie.co.at/eilvterm/17-31-020

math

law relating the apparent contrast, Note 1 to entry: The formula is sometimes written where the exponent, Note 2 to entry: Taking into account the relationship between atmospheric transmissivity, Note 3 to entry: The contrast is taken to be the quotient of the difference between the luminance of the object and the luminance of the background, and the luminance of the background. Note 4 to entry: This entry was numbered 845-11-22 in IEC 60050-845:1987. Note 5 to entry: This entry was numbered 17-629 in CIE S 017:2011.

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https://boingboing.net/2014/03/10/a-math-teacher-explains-new.html

math

You've probably seen this image making the rounds on social media. It shows a method of doing basic subtraction that's intended to appear wildly nonsensical and much harder to follow than the "Old Fashion" [sic] way of just putting the 12 under the 32 and coming up with an answer. This method of teaching is often attributed to Common Core, a set of educational standards recently rolled out in the US. But, explains math teacher and skeptic blogger Hemant Mehta, this image actually makes a lot more sense than it may seem to on first glance. In fact, for one thing, this method of teaching math isn't really new (our producer Jason Weisberger remembers learning it in high school). It's also not much different from the math you learned back when you were learning how to count change. It's meant to help kids be able to do math in their heads, without borrowing or scratch-paper notations or counting on fingers. What's more, he says, it has absolutely nothing to do with Common Core, which doesn't specify how subjects have to be taught. I admit it's totally confusing but here's what it's saying: If you want to subtract 12 from 32, there's a better way to think about it. Forget the algorithm. Instead, count up from 12 to an "easier" number like 15. (You've gone up 3.) Then, go up to 20. (You've gone up another 5.) Then jump to 30. (Another 10). Then, finally, to 32. (Another 2.) I know. That's still ridiculous. Well, consider this: Suppose you buy coffee and it costs $4.30 but all you have is a $20 bill. How much change should the barista give you back? (Assume for a second the register is broken.) You sure as hell aren't going to get out a sheet of paper …

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https://briefencounters.ca/45515/solving-systems-of-equations-algebraically-worksheet/

math

Solving Systems Of Equations (SEO) is based on some very basic axioms and axiom of science. The basic axiom of science is that the patterns cannot be changed and in other words, everything is constant. From this follows the conclusion that there are no exceptions to the rule. In other words everything is constant and we can never change this. Solving systems of equations can be described as finding the solutions of the system of equations (which may be complex mathematical or logical equations) in a deterministic form (without reference to the past or future). In other words solving systems of equations prove that given a set of inputs x, y, z; a certain number of points h, I; and an unknown number k; then the output I = h(x+I) where h is a function of i. Systems Equations Word Problems Worksheets Best Relations and from solving systems of equations algebraically worksheet , source:alisonnorrington.com There are many ways to solve systems of equations. One of the most popular ways is to use linear algebra and to do the multiplication and addition operations on the input variables x, y, z. This can be extended to the systems of complex numbers and using it gives solutions of systems of real numbers and vice versa. This is called the discrete math method to solve systems of equations. The finite-math approach uses more operators and functions to multiply and add the inputs and solve the system. There are two types of linear algebra systems of equations. They are called discrete and non discrete. Discrete systems of equations are easier to understand and implement because the algorithms are well defined and usually the solutions are simple to verify. On the other hand non-discrete systems of equations are less concise and are less efficient because they are more general and include different operations. Solving Linear Systems In Three Variables Worksheet Fresh 12 Fresh from solving systems of equations algebraically worksheet , source:therlsh.net Discrete systems of equations can be solved using the dot product, products of several independent variables, integral functions, and quadratic equations. The methods of solving such systems can be done in different ways. These methods are based on either the properties of the inputs or the properties of the function that can be changed. A little-known method of solving systems of different kinds is to use a technique of transpose functions. There are different ways of implementing the methods. Different approaches in solving systems of different kinds will be needed depending on the nature of the problem being solved. The first and foremost important factor while designing any solver is the method of communication of the user. If there is no proper method of communication then it might create a lot of difficulty in the process of solving the problem and lead to an unsatisfactory output. Systems of Equations Maze Slope Intercept Form Solve by Graphing from solving systems of equations algebraically worksheet , source:cz.pinterest.com Different people have different levels of experience in solving systems of equations. Some of them know the techniques of solving elliptical equations and cubes and hexagonal equations through the help of mathematical formulae while some of them know how to solve the same problems through the help of programming languages. There are also some people who are experts in solving analytic problems and others specialize in solving finite and integral series. Then, there are some people who are good at solving closed system forms like solutions of spherical or cylindrical problems. There are even some good calculators that come with different algorithms for solving different kinds of equations. The modern computers which are used for solving the problems come with various algorithms which make the process of solving the system much easy than the older version when the calculations were done manually. One of the popular methods of solving a system of equations is the use of an Algebra solver. It uses both inner and outer algebra operations in the calculation of solutions of a system of equations. The main purpose of using an Algebra solver is to carry out the multiplication and division operations in an efficient way so that the results obtained are both accurate. Solving Systems Equations by Addition Method Worksheet Lovely from solving systems of equations algebraically worksheet , source:incharlottesville.com The best part about the Algebra solver is that it can be used anywhere. You can solve solvents online too and get accurate results. Today, almost every college and university use the Algebra solvers to solve problems for their students and graduates as well. If you are interested in getting an advanced degree in Algebra, you can opt for a multi-dimensional analytical course which will cover more mathematical topics. After completing the required courses, you would be equipped to handle almost any problem related to complex mathematical equations. 3 Ways to Solve Systems of Algebraic Equations Containing Two Variables from solving systems of equations algebraically worksheet , source:wikihow.com Word Problems Worksheet Algebra 1 Best Word Problems Worksheet from solving systems of equations algebraically worksheet , source:nancywang.co 25 Best Slope formula format from solving systems of equations algebraically worksheet , source:cialisonlinefs.com Solving Algebraic Field Equations from solving systems of equations algebraically worksheet , source:comsol.com Solve Quadratic Equations by peting the Square Worksheets from solving systems of equations algebraically worksheet , source:thoughtco.com Systems Inequalities Word Problems Worksheet with Answers New 48 from solving systems of equations algebraically worksheet , source:buddydankradio.com

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https://www.topsoundsaudio.com/producerzone/logiczone/tape-stop-in-logic

math

Ive been trying to get tapestop for logic but i cant seem to figure out how to use it in logic. i know there are wrappers for it but i cant figure it out.. anyone help? Im looking for an english rapper. I make beats but I need vocals on it. Anyone who raps? Male / Female

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http://khadley.com/Courses/Astronomy/ph_206/topics/ph206Intro/kepler-s-laws.html

math

Kepler's first law: Planet orbits are ellipses with the sun at one focus of the ellipse. Kepler's second law: A line joining a planet to the sun sweeps out equal areas in the ellipse over equal times. Kepler's third law: The square of the orbital period of a planet equals the cube of its semi-major axis. Newton's first law An object at rest stays at rest. An object in motion stays in motion at a constant speed in a straight line unless acted upon by an unbalanced force. Newton's second law The net force on an object is equivalent to the product of object's mass and its acceleration Newton's third law Forces come in pairs. For every force, there exists and equal and opposite force.

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https://texasbeyondhistory.net/teach/images/coordinategrid.html

math

TBH Teachers: Coordinate Grid: Mapping an Archeological Site Grade: 4th grade Author: Carol Schlenk, revised by Mary Rodriguez (2023) Time Duration: One 45-minute class period Overview: Archeologists preserve the context of a site through the use of a rectangular grid or Cartesian coordinate system. Coordinate grids are reflexive frames that extend infinitely in two or more directions from zero. This lesson focuses primarily on distance and pacing, and secondarily on coordinate grids. This activity is intended to help students develop a sense of distance. Students will pace off distances, estimate distances and use reasonable numbers. TEKS: Mathematics, Grade 4 - (1A), apply mathematics to problems arising in everyday life, society, and the workplace - (6A), apply knowledge of right angles to identify acute, right, and obtuse triangles - (8B), convert measurements within the same measurement system, customary or metric, from a smaller unit into a larger unit or a larger into a smaller unit when given other equivalent measures represented in a table - (8C), solver problems that deal with measurement of length, intervals of time, liquid volumes, mass, money using addition, subtraction, multiplication, or division as appropriate - Grid paper (included) - Teacher’s pace list (included) - Measuring tape - Rulers (optional) Activities and Procedures: Step 1: Ask children how they might calculate the length of the playground. Tell them about the ability to calculate distance using a pacing technique (for example, one of my paces is two feet in length) Step 2: Go to the playground and have them figure their pace for 10 yards (or use meters, as most archeologists do). To do this, lay out a tape measure that is 10 yards or meters long. Line up the students and have them walk the length of the tape measure, and ask them to count how many steps they take. Step 3: Record on the chart below the length of their paces. To do this, divide 10 meters/yards by the number of steps to calculate the average length of step for a given student (for example, if a student takes 15 steps over 10 meters, they have a pace of 0.66 meters). Step 4: Have them figure the length and width of their playground by pacing it (counting their steps and multiplying the number of steps by the length of their steps). Have each student map the playground on a piece of grid paper. You will need to set a scale based on the size of the playground (for example, one square of the paper could equal one foot, or one meter). Rulers can be used to complete the mapping activity. Closure: Archeologists preserve the context of a site by mapping it on a Cartesian coordinate system. Lead students to understand why pacing is an important tool for the initial mapping of a site by discussing site recording. Extension Activities: Use these same numbers to begin a lesson on area. Or, create a site on the playground by planting artifacts. The students can then grid the playground and map the artifacts. Student Product: A map of the playground

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https://aakashdigitalsrv1.meritnation.com/cbse-class-12-science/chemistry/cbse-class-12-science-chemistry-board-paper-2011-all-india-set-3-solutions/board-papers/starttest/8H6T3oZ@wj0Ie@WNLurdig!!

math

Board Paper of Class 12-Science 2011 Chemistry (SET 3) - Solutions (i) All questions are compulsory (ii) Question numbers 1 to 8 are very short-answer questions and carry 1 mark each. (iii) Question numbers 9 to 18 are short-answer questions and carry 2 marks each. (iv) Question numbers 19 to 27 are also short-answer questions and carry 3 marks. (v) Question numbers 28 to 30 are long-answer questions and carry 5 marks each. (vi) Use Log Tables, if necessary. Use of calculators is not allowed. - Question 1 Define ‘activation energy’ of a reaction.VIEW SOLUTION - Question 2 What is meant by ‘reverse osmosis’?VIEW SOLUTION - Question 3 What type of ores can be concentrated by magnetic separation method?VIEW SOLUTION - Question 4 Write the IUPAC name of the following compound: CH2 = CHCH2BrVIEW SOLUTION - Question 5 What is meant by ‘lanthanoid contraction’?VIEW SOLUTION - Question 6 How would you convert ethanol to ethene?VIEW SOLUTION - Question 7 Draw the structure of 4-chloropentan-2-one.VIEW SOLUTION - Question 8 Give a chemical test to distinguish between ethylamine and aniline.VIEW SOLUTION - Question 9 Calculate the packing efficiency of a metal crystal for a simple cubic lattice.VIEW SOLUTION - Question 10 Explain how you can determine the atomic mass of an unknown metal if you know its mass density and the dimensions of unit cell of its crystal.VIEW SOLUTION - Question 11 Differentiate between molarity and molality values for a solution. What is the effect of change in temperature on molarity and molality values?VIEW SOLUTION - Question 12 The thermal decomposition of HCO2H is a first order reaction with a rate constant of 2.4 × 10−3 s−1 at a certain temperature. Calculate how long will it take for three-fourths of initial quantity of HCO2H to decompose. (log 0.25 = − 0.6021)VIEW SOLUTION - Question 13 What do you understand by the rate law and rate constant of a reaction? Identify the order of a reaction if the units of its rate constant are: (i) L−1 mol s−1 (ii) L mol−1 s−1VIEW SOLUTION - Question 14 Describe the principle controlling each of the following processes: (i) Preparation of cast iron form pig iron. (ii) Preparation of pure alumina (Al2O3) from bauxite ore.VIEW SOLUTION - Question 15 Explain giving reasons: (i) Transition metals and their compounds generally exhibit a paramagnetic behaviour. (ii) The chemistry of actinoids is not so smooth as that of lanthanoids.VIEW SOLUTION - Question 16 Complete the following chemical equations: State reasons for the following: (i) Cu (I) ion is not stable in an aqueous solution. (ii) Unlike Cr3+, Mn2+, Fe3+ and the subsequent other M2+ ions of the 3d series of elements, the 4d and the 5d series metals generally do not form stable cationic species.VIEW SOLUTION - Question 17 Write the main structural difference between DNA and RNA. Of the four bases, name those which are common to both DNA and RNA.VIEW SOLUTION - Question 18 Write such reactions and facts about glucose which cannot be explained by its open chain structure.VIEW SOLUTION - Question 19 A solution prepared by dissolving 8.95 mg of a gene fragment in 35.0 mL of water has an osmotic pressure of 0.335 torr at 25°C. Assuming that the gene fragment is a non-electrolyte, calculate its molar mass.VIEW SOLUTION - Question 20 Classify colloids where the dispersion medium is water. State their characteristics and write an example of each of these classes. Explain what is observed when (i) an electric current is passed through a sol (ii) a beam of light is passed through a sol (iii) an electrolyte (say NaCl) is added to ferric hydroxide solVIEW SOLUTION - Question 21 How would you account for the following: (i) NF3 is an exothermic compound but NCl3 is not. (ii) The acidic strength of compounds increases in the order: PH3 < H2S < HCl (iii) SF6 is kinetically inert. - Question 22 Write the state of hybridization, the shape and the magnetic behaviour of the following complex entities: (i) [Cr(NH3)4 Cl2] Cl (ii) [Co(en)3] Cl3 (iii) K2 [Ni(CN)4]VIEW SOLUTION - Question 23 State reasons for the following: (i) pKb value for aniline is more than that for methylamine. (ii) Ethylamine is soluble in water whereas aniline is not soluble in water. (iii) Primary amines have higher boiling points than tertiary amines.VIEW SOLUTION - Question 24 Rearrange the compounds of each of the following sets in order of reactivity towards SN2 displacement: (i) 2-Bromo-2-methylbutane, 1-Bromopentane, 2-Bromopentane (ii) 1-Bromo-3-methylbutane, 2-Bromo-2-methylbutane, 3-Bromo-2-methylbutane (iii) 1-Bromobutane, 1-Bromo-2, 2-dimethylpropane, 1-Bromo-2-methylbutaneVIEW SOLUTION - Question 25 How would you obtain the following: (i) Benzoquinone from phenol (ii) 2-methyl propan-2-ol from methyl-magnesium bromide (iii) Propane-2-ol from propeneVIEW SOLUTION - Question 26 Write the names and structures of the monomers of the following polymers: (iii) NeopreneVIEW SOLUTION - Question 27 What are the following substances? Give one example of each. (i) Food preservatives (ii) Synthetic detergents (iii) AntacidsVIEW SOLUTION - Question 28 (a) Draw the structures of the following molecules: (b) Complete the following chemical equations: (i) HgCl2 + PH3 → (ii) SO3 + H2SO4 → (iii) XeF4 + H2O → (a) What happens when (i) chlorine gas is passed through a hot concentrated solution of NaOH? (ii) sulphur dioxide gas is passed through an aqueous solution of a Fe (III) salt? (b) Answer the following: (i) What is the basicity of H3PO3 and why? (ii) Why does fluorine not play the role of a central atom in inter-halogen compounds? (iii) Why do noble gases have very low boiling points?VIEW SOLUTION - Question 29 (a) What type of a battery is lead storage battery? Write the anode and cathode reactions and the overall cell reaction occurring in the operation of a lead storage battery. (b) Calculate the potential for half-cell containing 0.10 M K2Cr2O7 (aq), 0.20 M Cr3+ (aq) and 1.0 × 10−4 M H+ (aq) The half-cell reaction is and the standard electrode potential is given as E0 = 1.33 V. (a) How many moles of mercury will be produced by electrolysing 1.0 M Hg (NO3)2 solution with a current of 2.00 A for 3 hours? [Hg(NO3)2 = 200.6 g mol−1] (b) A voltaic cell is set up at 25°C with the following half-cells Al3+ (0.001 M) and Ni2+ (0.50 M). Write an equation for the reaction that occurs when the cell generates an electric current and determine the cell potential. - Question 30 (a) Illustrate the following name reactions: (i) Cannizzaro’s reaction (ii) Clemmensen reduction (b) How would you obtain the following: (i) But-2-enal from ethanal (ii) Butanoic acid from butanol (iii) Benzoic acid from ethylbenzene (a) Given chemical tests to distinguish between the following: (i) Benzoic acid and ethyl benzoate (ii) Benzaldehyde and acetophenone (b) Complete each synthesis by giving missing reagents or products in the following:

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https://physicsnet.co.uk/a-level-physics-as-a2/waves/refraction/

math

Refractive Index (n) The refractive index (n) of a material is the ratio of the speed of light (c) in a vacuum to the velocity of light in the material (cS). The refractive index of a material is always greater than 1. water = 1.33 diamond = 2.42 glass = 1.5 air » 1 When a ray of light goes from material (1) into material (2), rather than from a vacuum into a material we talk about the relative refractive index. Refractive index (relative) when light is travelling from one material to another 1n2 The relative refractive index can more or less than 1. If we go from material 1 with refractive index (n1) into material 2 with refractive index (n2). Then we can find the relative refractive index 1n2 by dividing the speed of light in material 1 (c1) by the speed of light in material 2 (c2) OR by dividing the refractive index of material 2 (n2) by the refractive index of material 1 (n1) OR by dividing the sine of the incident angle (q1) by the sine of the refracted angle (q2). We can rearrange the last part of the equation above so it looks like this; If we reverse the direction of the light from material 2 into material 1 the refractive index 2n1 is related to 1n2 like this; Critical angle qc When a ray of light goes from a material into an optically less dense material like air. The angle of refraction can become 90o and the ray of light travels along the boundary between the two material. When this happens the angle of incidence is called the critical angle (qc) If the second material is air then n2 = 1 and so If the incident angle is greater than the critical angle then light reflects at the boundary between the two material and this is called Total Internal Reflection. Step index optical fibres This is has a fine glass core and it is surrounded by a cladding of glass with a lower refractive index than the core. This means that light shone into the core at an angle greater than the critical angle will Total Internally Reflect at the boundary between the core and the cladding. The light then travels down the fibre through a series of reflections before exiting at the other end. The optical fibre would work without the cladding as air also has a lower refractive index than the core glass. However the cladding is useful as it protects the core, prevents cross talk and prevents the leakage of light. The core should be narrow as this cuts down on multi-mode dispersion which is where light entering the optical fibre at slightly different angles follow slightly different paths and arrive at the other end a slightly different times this causes the pulse of light to broaden out. Optical fibres are used in medical instruments called endoscopes and they are used in communications (telephone, Internet, cable TV). The use of optical fibres in communications has improved the transmission of data giving us high speed internet access.

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http://lib.mexmat.ru/books/191430

math

The authors give a nice overview of computer performance evaluation using queueing theory and continuous and discrete-time Markov chains. After a short review of the relevant probability and statistics, the authors discuss Markov chains in the second chapter, pointing out that Markov processes can be used to model queueing systems even when these systems have behavior governed by non-exponential distributions. They characterize these as Markovizing methods. Their treatment of both discrete and continuous time Markov models is short but adequate, covering all the necessary concepts such as ergodicity and irreducibility. They then give a thorough discussion of the modeling process as actually done in practice. Their discussion of model sizing sets up their methodologies for dealing with large models later in the book. Performance measures for system requirements are discussed in terms of Markov reward models. Their treatment here is very detailed and they also give a large collection of helpful references on the subject.Petri nets are also discussed in the context of model generation. The authors state, correctly I think, that more time should be spent of developing models rather than the underlying mathematics. In their treatment of networks with non-exponential service time and interarrival time distributions, the authors employ the diffusion approximation via the solution of the Fokker-Planck equation. The don't discuss this in detail but give references for those who can read German. This would have been a place for a detailed analysis and derivation, given the surprising introduction of the Fokker-Planck equation in queueing theory. They also use, interestingly, maximum entropy methods to get approximate solutions of open and closed queueing networks. A very short chapter on optimization is given in the next chapter, which could stand to be more lengthy given the importance of this in implementing networks commercially. The next chapter covers some of the performance tools that are available for studying networks. The Performance Evaluation and Prediction System (PEPSY), stochastic Petri net package (SPNP), the CSPL language, the Model Description Language (MOSEL), the symbolic hierarchical automated reliability performance evaluator (SHARPE) are discussed with examples of each. Readers not having these tools will of course will not benefit too much from reading this chapter, except for maybe to get an idea of what is available. The OPNET and Ns-simulator packages,which are very nice modeling tools are not treated at all for some reason. The last chapter covers applications, with case studies of queueing networks, Markov chains, stochastic Petri nets, and hierarchical models. Although of somewhat limited value in practice, the examples given do give the reader an idea of how the material in the book can be applied. And here again, the authors stress the use of modeling packages such as SHARPE and PEPSY, to verify the calculations in the case studies. They consider a closed non-product form queueing model of a medium-sized LAN in some detail with Ethernet links and a FDDI ring, solving it using Marie's method. Also interesting is their model of the UNIX operating system, which is also represented by a closed non-product queueing network. They compare the computation time needed to solve the model using CTMC, shadow, and DES techniques. Although the discussion is rather hurried, their model of an ATM network is also interesting, in that they use Markov reward models, obtaining both the state and transient solutions. The book is one that will be of great assistance to those doing network modeling, performance analysis, and other time-scheduling modeling activiites. It is somewhat expensive, but worth the price I think considering the care which the authors take in their exposition.

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CC-MAIN-2020-45

https://www.physicsforums.com/threads/tug-of-war-with-competing-decay-of-force-equations.903349/

math

1. The problem statement, all variables and given/known data Two frats compete in a tug of war. Each team has 5 players of mass 80kg each. Each person is capable of pulling with 100N of force. The force of one team decays according to F(t) = F0(e^(-t/2)) and the other, F(t) =F0(e^(-t/1)). What is the position of the (very lightweight) rope as a function of time? 2. Relevant equations Fnet = ma 3. The attempt at a solution (m)(a) =F0(e^(-t/1)) - F0(e^(-t/2)) where F0 = 500 for both team. I am not sure if the mass is simply 5*80 or double that because of the two teams. Then I suppose you could integrate this and find x from the acceleration.

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CC-MAIN-2018-30

https://www.lessonplanet.com/teachers/solving-linear-systems-by-graphing-9th

math

Solving Linear Systems by Graphing For this linear systems worksheet, 9th graders solve and complete 4 different problems by graphing. First, they graph the first equation shown. Then, students graph the second equation on the same coordinate system as the first. They also find the solution and check the proposed ordered pair solution in both equations.

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https://www.p1c.online/tags/birdieschirping

math

August #letteringchallenge is here! ——-challenge originates in my facebook group (click “learn” from bio link to join the group if you’re not part of it already) but you can also only participate on instagram! ( see instagram guidelines at the end of the post. ) ❤️this is the official list of words for the month. i will post a new photo each day and that is where you will comment with your entry. 🧡 **note: the whole goal of this challenge is the callenge yourself to practice everyday! you do not have to be good or great at lettering. you just need to practice. just start ❤️ .. 1. challenge starts wednesday august 1st. 2. everyone who is participating will write the word (hand letter/brush letter or faux calligraphy etc) using whatever writing tool they prefer (pencil, pen, brush pen etc) the goal is for you to get daily practice in! 3. you'll post the pic of your lettering in the daily thread for each word/day as a comment 4. i will check at the end of the month to see who participated for at least 25 days and pick a random winner from that group who will receive either my 56-page beginners brush lettering worksheet set or my uppercase set for free! yep, for free!! (if you already own my brush lettering sheets, you will receive a personalized glitter name keychain ☺️).. to receive your 15% off coupon, click subscribe from my profile link. . 1. follow me: @hand.lettered.and.loved 2. post your pic on instagram, mention me in your description: @hand.lettered.and.loved 3. tag #handletteredandloved 🤗 let me know if you have any questions!! 👉🏻if you want to grab my worksheets after you receive your coupon code in order to practice for the challenge, click on the “worksheets” button from my bio link. cheers to practicing everyday!! xoxo. challenge/giveaway is in no way affiliated with instagram or facebook.. This morning i took a ride to a quiet place to start my day off. i have a fun day planned with a bunch of kiddos today. i know i can't face all of todays challenges and adventures without first gearing up for the day spiritually. i'm grateful i am a morning person because these early hours are the only time i have for quiet. it's a time where i can sit with no interruptions and chaos. i reflect on yesterday and what could have been handled better on my part. i ask for help and forgiveness in areas i know i need more work in. i praise him for all he is doing in my life. i pray for myself and others. sometimes i just sit with him and read his word. sometimes i'll just listen to nice songs about him and sing. i didn't start doing this until about 5 or 6 years ago. thats when i got serious about seeking god. when i came to the realization of how powerful this time is with him i started making it a regular thing. as a busy mom and wife that works full time god showed me how to make time for just him too. my life has never been the same since. good morning lord thank you for another day 💖 #goodmorning#morningtime#newday#sunshine#godfirst#rest#prayer#armorup#freshstart#faith#hope#love#nature#outdoors#drive#drivein#read#ourtime#meandyou#strengthtraining#fitness#healthyliving#praise#iloveu#grateful#fishing#lake#river#swim#birdieschirping

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CC-MAIN-2018-43

https://www.helpwithassignment.com/Solution-Library/calculation-of-profit-or-loss-by-investing-in-call-option

math

You wrote ten Call Option contracts on JIG stock with a strike price of $40 and an option price of $.40. What is your net gain or loss on this investment if the price of JIG is $46.05 on the option expiration date? F. None of the above The question belongs to Finance and it discusses about calculation of profit or loss on a call option investment. Total Word Count 52

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CC-MAIN-2019-13

http://sakkampress.com/images-of-newtons-second-law.html

math

It did not say why the planets should orbit the sun. Although Halley was dead, the comet reappeared at that time and became known as Halley's comet. Newton expanded upon the earlier work of , who developed the first accurate laws of motion for masses, according to Greg Bothun, a physics professor at the University of Oregon. Newton found that the greater a body's mass the greater the force required to overcome its inertia and mass is taken as a quantitative measure of a body's inertia. Yes No Thanks for your feedback! The block sliding across the floor stops because this frictional force acts on it. From the acceleration, velocity and distance traveled can be determined for any time. What, then, of the people and objects in the car? The math behind this is quite simple. If there is not, the car continues in a straight line first law moving outward relative to the road. The higher the original speed, of course, the greater the likelihood the tires will squeal. The airplane has a mass m0 and travels at velocity V0. If we decrease the net force than acceleration also decreases. Momentum, like , is a quantity, having both magnitude and direction. A Tale of Friction High school students learn how engineers mathematically design roller coaster paths using the approach that a curved path can be approximated by a sequence of many short inclines. Newton's three laws Newton, who was born in the year that Galileo died, produced a nearly perfect for the time response to Galileo's suggestion. Real progress on the subject, however, did not resume until the time of 1300-1358 , a French physicist who went much further than Philoponus had eight centuries earlier. Expect students to already know that a force can cause a change in velocity. A block will slide more easily than, for instance, a refrigerator because it has less mass. This force, in other words, is the same as weight. Well, do you think mass affects the acceleration? Newton's laws of motion Earthly and heavenly motions were of great interest to Newton. It depend upon the net force acting on the body. It should also be clear from this example exactly why seatbelts, headrests, and airbags in automobiles are vitally important. The applications of these three laws are literally endless: from the planets moving through the cosmos to the first seconds of a car crash to the action that takes place when a person walks. If the first train is hooked, the second train will go twice the distance of the first train and the force will be twice. For college students there is. Ask them to supply the answers for the blanks in the sentences. The physicist's definition of velocity includes both speed and direction, so any deviation from straight line motion is a change in velocity and will require an outside force. Acceleration is inversely proportional to mass. Mass is the quantity of matter. The Science Book of Motion. Applications of the second law 1 Objects, when released, fall to the ground due to the earth's attraction. Third law of motion or law of action-reaction Newton questioned the interacting force an outside agent exerted on another to change its state of motion. Conclude the presentation with a quick review of the key concepts, as listed on the slide, with blanks for students to supply the answers. These pairs of forces exist everywhere. Galileo's observations, in fact, formed the foundation for the laws of motion. Newton's Second Law of Motion Presentation Outline slides 1-16 Open the for all students to view and present the lesson content, guided by the script below and text in the slide notes. We're assuming rightward and upward are the positive directions. The measure of inertia is mass, which reflects the resistance of an object to a change in its motion. But even this craft would likely run into another object, such as a planet, and would then be drawn into its orbit. Since the moon is about 60 times further from Earth's center than the earth's surface, the acceleration of gravity of the moon is about. Mass: A measure of an amount of matter. The other three were unknown to Newton —yet his definition of force is still applicable. Then click the buttons to view the answers. The given figure shows the general idea about the Atwood machine. Because velocity indicates movement in a single straight direction, when an object moves in a curve —as the planets do around the Sun —it is by definition changing velocity, or accelerating. There is no such thing as an unpaired force in the universe. In the case of scientific law, disobedience is clearly impossible —and if it were not, the law would have to be amended. For example, a book sitting on a table has a net force of zero. The main outside forces acting on an arrow are friction from air and gravity.

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https://www.mycoursehelp.com/QA/the-energy-band-diagram-for-a-reverse-bi/115915/1

math

The energy band diagram for a reverse-biased Si pn-junction diode under steady-state conditions is pictured in Fig. P5.5. (a) With the aid of the diagram and assuming single-level R-G center statistics, Tn = TP = T, and ET" = Ei, simplify the general steady-state net recombination rate expression to obtain the simplest possible relationship for R at (i) x = 0, (ii) x = - xp, (iii) x = x nn " (iv) x = - x p, and (v) x = xn• (b) Sketch R versus x for x-values lying within the electrostatic depletion region (- xp ≤ X ≤ xn). (c) What was the purpose or point of this problem? QUESTION NO. 2 (CA Final May 2000)John inherited the following securities on his uncle's death: Type of Security Nos. Annual Coupon Maturity Yrs Yield Bond A (Rs. 1,000) ...May 19 2020 When compared to transformational labor relations, traditional approach is likely to be associated with _____. A.higher productivityB.greater worker autonomyC.more sh...Dec 10 2019 Describe scheduling needs in job shops.Nov 29 2019 It takes Cookie Cutter Modular Homes, Inc., about six days toreceive and deposit checks from customers. Cookie Cutter’smanagement is considering a lockbox system to reduc...Dec 04 2019 On July 1, 2016 Bob opened his sole propietorship, Bob'sBoats. Bob had the following transactions in January 2017. Recordeach of the transactions below. You may eliminate...May 28 2021 After many years teaching finance at Capilano University, Allen wants to establish a scholarship to offer 4 $1,000 awards each year to students whose performance is excel...Aug 14 2021 The annual profit from an investment is $20,000 each year for 5 years and the cost of investment is $70,000 with a salvage value of $40,000. The cost of capital at this r...Aug 22 2020 You are advising the owner of Smalltown Computer, a new, local computer repair store that also builds custom computers to order. What competitive strategies could Smallto...Jan 25 2020 What is the difference between elastic and inelastic demand?Apr 16 2021 The attitudes and beliefs we have about ourselves and others are a direct result of things we learned from our parents or parental substitutes. The willingness to challen...Dec 12 2019

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CC-MAIN-2022-33

https://www.newtraderu.com/2019/12/19/the-rule-of-72-formula/

math

The rule of 72 is a process for quickly projecting how long it will take for a rate of investment return to make capital double. The number 72 is used in figuring out the answer by dividing the rate of return percentage per period to get an approximation of the number of years in most cases that it will take to double. The rule of 72 is used as a quick mental short cut so spreadsheets or scientific calculators are not needed. The rule of 72 uses the rate of compounded exponential growth not simple interest year by year, gains are not removed but left in the calculation. The gains are compounded year over year in this system allowing new gains to make more money. The Rule Of 72 Formula: Investment rate of return X number of years invested = 72 Number of years invested = 72 / annual investment rate Investment rate = 72 / number of years invested The rule of 72 annual rate of return percentage and years to double. (Exact years to double). The formula. 2% annual return takes 36 years to double (35) 2 = 72/36 3% annual return takes 24 years to double (23.45) 3 = 72/24 5% annual return takes 14.4 years to double (14.21) 5 = 72/14.4 7% annual return takes 10.3 years to double (10.24) 7 = 72/10.3 9% annual return takes 8 years to double (8.04) 9 = 72/8 12% annual return takes 6 years to double (6.12) 12 = 72/6 25% annual return takes 2.9 years to double (3.11) 25 = 72/2.9 50% annual return takes 1.4 years to double (1.71) 50 = 72/1.4

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CC-MAIN-2023-50

https://psychology.wikia.org/wiki/Units_of_measurement

math

Individual differences | Methods | Statistics | Clinical | Educational | Industrial | Professional items | World psychology | A unit of measurement is a definite magnitude of a physical quantity, defined and adopted by convention and/or by law, that is used as a standard for measurement of the same physical quantity. Any other value of the physical quantity can be expressed as a simple multiple of the unit of measurement. For example, length is a physical quantity. The metre is a unit of length that represents a definite predetermined length. When we say 10 metres (or 10 m) or (1 dekameter), we actually mean 10 times the definite predetermined length called "metre". The definition, agreement, and practical use of units of measurement have played a crucial role in human endeavour from early ages up to this day. Different systems of units used to be very common. Now there is a global standard, the International System of Units (SI), the modern form of the metric system. In trade, weights and measures is often a subject of governmental regulation, to ensure fairness and transparency. The Bureau international des poids et mesures (BIPM) is tasked with ensuring worldwide uniformity of measurements and their traceability to the International System of Units (SI). Metrology is the science for developing nationally and internationally accepted units of weights and measures. In physics units are standards for measurement of physical quantities that need clear definitions to be useful. Reproducibility of experimental results is central to the scientific method. A standard system of units facilitates this. Scientific systems of units are a refinement of the concept of weights and measures developed long ago for commercial purposes. Scienceand medicine, often use larger and smaller units of measurement than those used in everyday life and indicate them more precisely. The judicious selection of the units of measurement can aid researchers in problem solving (see, for example, dimensional analysis). - 1 Systems of units - 2 Base and derived units - 3 Calculations with units - 4 Real-world implications - 5 See also - 6 Notes - 7 External links Systems of units[edit | edit source] Traditional systems[edit | edit source] Historically many of the systems of measurement which had been in use were to some extent based on the dimensions of the human body according to the proportions described by Marcus Vitruvius Pollio. As a result, units of measure could vary not only from location to location, but from person to person. Metric systems[edit | edit source] A number of metric systems of units have evolved since the adoption of the original metric system in France in 1791. The current international standard metric system is the International System of Units. An important feature of modern systems is standardization. Each unit has a universally recognized size. Both the Imperial units and US customary units derive from earlier English units. Imperial units were mostly used in the British Commonwealth and the former British Empire. US customary units are still the main system of measurement used in the United States despite Congress having legally authorized metric measure on 28 July 1866. Some steps towards US metrication have been made, particularly the redefinition of basic US units to derive exactly from SI units, so that in the US the inch is now defined as 0.0254 m (exactly), and the avoirdupois pound is now defined as 453.59237 g (exactly) Natural systems[edit | edit source] While the above systems of units are based on arbitrary unit values, formalised as standards, some unit values occur naturally in science. Systems of units based on these are called natural units. Similar to natural units, atomic units (au) are a convenient system of units of measurement used in atomic physics. Legal control of weights and measures[edit | edit source] } To reduce the incidence of retail fraud, many national statutes have standard definitions of weights and measures that may be used (hence "statute measure"), and these are verified by legal officers. Base and derived units[edit | edit source] Different systems of units are based on different choices of a set of fundamental units. The most widely used system of units is the International System of Units, or SI. There are seven SI base units. All other SI units can be derived from these base units. For most quantities a unit is absolutely necessary to communicate values of that physical quantity. For example, conveying to someone a particular length without using some sort of unit is impossible, because a length cannot be described without a reference used to make sense of the value given. But not all quantities require a unit of their own. Using physical laws, units of quantities can be expressed as combinations of units of other quantities. Thus only a small set of units is required. These units are taken as the base units. Other units are derived units. Derived units are a matter of convenience, as they can be expressed in terms of basic units. Which units are considered base units is a matter of choice. The base units of SI are actually not the smallest set possible. Smaller sets have been defined. For example, there are unit setsTemplate:Which? in which the electric and magnetic field have the same unit. This is based on physical laws that show that electric and magnetic field are actually different manifestations of the same phenomenon. Calculations with units[edit | edit source] Units as dimensions[edit | edit source] Any value of a physical quantity is expressed as a comparison to a unit of that quantity. For example, the value of a physical quantity Z is expressed as the product of a unit [Z] and a numerical factor: - For example, "2 candlesticks" Z = 2 [candlestick]. The multiplication sign is usually left out, just as it is left out between variables in scientific notation of formulas. The conventions used to express quantities is referred to as quantity calculus. In formulas the unit [Z] can be treated as if it were a specific magnitude of a kind of physical dimension: see dimensional analysis for more on this treatment. Units can only be added or subtracted if they are the same type; however units can always be multiplied or divided, as George Gamow used to explain: - "2 candlesticks" times "3 cabdrivers" = 6 [candlestick][cabdriver]. A distinction should be made between units and standards. A unit is fixed by its definition, and is independent of physical conditions such as temperature. By contrast, a standard is a physical realization of a unit, and realizes that unit only under certain physical conditions. For example, the metre is a unit, while a metal bar is a standard. One metre is the same length regardless of temperature, but a metal bar will be one metre long only at a certain temperature. Guidelines[edit | edit source] - Treat units algebraically. Only add like terms. When a unit is divided by itself, the division yields a unitless one. When two different units are multiplied, the result is a new unit, referred to by the combination of the units. For instance, in SI, the unit of speed is metres per second (m/s). See dimensional analysis. A unit can be multiplied by itself, creating a unit with an exponent (e.g. m2/s2). Put simply, units obey the laws of indices. (See Exponentiation.) - Some units have special names, however these should be treated like their equivalents. For example, one newton (N) is equivalent to one kg·m/s2. Thus a quantity may have several unit designations, for example: the unit for surface tension can be referred to as either N/m (newtons per metre) or kg/s2 (kilograms per second squared). Whether these designations are equivalent is disputed amongst metrologists. Expressing a physical value in terms of another unit[edit | edit source] Conversion of units involves comparison of different standard physical values, either of a single physical quantity or of a physical quantity and a combination of other physical quantities. just replace the original unit with its meaning in terms of the desired unit , e.g. if , then: Now and are both numerical values, so just calculate their product. Or, which is just mathematically the same thing, multiply Z by unity, the product is still Z: For example, you have an expression for a physical value Z involving the unit feet per second () and you want it in terms of the unit miles per hour (): - Find facts relating the original unit to the desired unit: - 1 mile = 5280 feet and 1 hour = 3600 seconds (3.6 kiloseconds) - Next use the above equations to construct a fraction that has a value of unity and that contains units such that, when it is multiplied with the original physical value, will cancel the original units: - Last,multiply the original expression of the physical value by the fraction, called a conversion factor, to obtain the same physical value expressed in terms of a different unit. Note: since valid conversion factors are dimensionless and have a numerical value of one, multiplying any physical quantity by such a conversion factor (which is 1) does not change that physical quantity. Or as an example using the metric system, you have a value of fuel economy in the unit litres per 100 kilometres and you want it in terms of the unit microlitres per metre: Real-world implications[edit | edit source] One example of the importance of agreed units is the failure of the NASA Mars Climate Orbiter, which was accidentally destroyed on a mission to Mars in September 1999 instead of entering orbit, due to miscommunications about the value of forces: different computer programs used different units of measurement (newton versus pound force). Considerable amounts of effort, time, and money were wasted. On April 15, 1999 Korean Air cargo flight 6316 from Shanghai to Seoul was lost due to the crew confusing tower instructions (in metres) and altimeter readings (in feet). Three crew and five people on the ground were killed. Thirty seven were injured. In 1983, a Boeing 767 (which came to be known as the Gimli Glider) ran out of fuel in mid-flight because of two mistakes in figuring the fuel supply of Air Canada's first aircraft to use metric measurements. This accident is apparently the result of confusion both due to the simultaneous use of metric & Imperial measures as well as mass & volume measures. See also[edit | edit source] Notes[edit | edit source] - US Metric Act of 1866. as amended by Public Law 110–69 dated August 9, 2007 - (2002). NIST Handbook 44 Appendix B. National Institute of Standards and Technology. - Emerson, W.H. (2008). On quantity calculus and units of measurement. Metrologia 45 (2): 134–138. - Unit Mixups. US Metric Association. - Mars Climate Orbiter Mishap Investigation Board Phase I Report. NASA. - NTSB. Korean Air Flight 6316. Press release. - Korean Air incident. Aviation Safety Net. - includeonly>Witkin, Richard. "Jet's Fuel Ran Out After Metric Conversion Errors", New York Times, July 30, 1983. Retrieved on 2007-08-21. “Air Canada said yesterday that its Boeing 767 jet ran out of fuel in mid-flight last week because of two mistakes in figuring the fuel supply of the airline's first aircraft to use metric measurements. After both engines lost their power, the pilots made what is now thought to be the first successful emergency dead stick landing of a commercial jetliner.” [edit | edit source] - A Dictionary of Units of Measurement - Center for Mathematics and Science Education, University of North Carolina - NIST Handbook 44, Specifications, Tolerances, and Other Technical Requirements for Weighing and Measuring Devices - NIST Handbook 44, Appendix C, General Tables of Units of Measurement - Official SI website - Quantity System Framework - Quantity System Library and Calculator for Units Conversions and Quantities predictions Legal[edit | edit source] Metric information and associations[edit | edit source] - Official SI website - UK Metric Association - US Metric Association - The Unified Code for Units of Measure (UCUM) Imperial measure information[edit | edit source] |This page uses Creative Commons Licensed content from Wikipedia (view authors).|

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http://nrich.maths.org/public/leg.php?code=-445&cl=4&cldcmpid=6160

math

Here are several equations from real life. Can you work out which measurements are possible from each equation? Are these statistical statements sometimes, always or never true? Or it is impossible to say? Which line graph, equations and physical processes go together? This is our collection of tasks on the mathematical theme of 'Population Dynamics' for advanced students and those interested in mathematical modelling. Explore the possibilities for reaction rates versus concentrations with this non-linear differential equation Many physical constants are only known to a certain accuracy. Explore the numerical error bounds in the mass of water and its constituents. Can you match these equations to these graphs? Get further into power series using the fascinating Bessel's equation. Can you suggest a curve to fit some experimental data? Can you work out where the data might have come from? Andy wants to cycle from Land's End to John o'Groats. Will he be able to eat enough to keep him going? Which dilutions can you make using only 10ml pipettes? Work with numbers big and small to estimate and calculate various quantities in physical contexts. Was it possible that this dangerous driving penalty was issued in Why MUST these statistical statements probably be at least a little See how enormously large quantities can cancel out to give a good approximation to the factorial function. Go on a vector walk and determine which points on the walk are closest to the origin. Get some practice using big and small numbers in chemistry. Work out the numerical values for these physical quantities. Formulate and investigate a simple mathematical model for the design of a table mat. Invent scenarios which would give rise to these probability density functions. How much energy has gone into warming the planet? Build up the concept of the Taylor series Each week a company produces X units and sells p per cent of its stock. How should the company plan its warehouse space? Find the distance of the shortest air route at an altitude of 6000 metres between London and Cape Town given the latitudes and longitudes. A simple application of scalar products of vectors. Explore the relationship between resistance and temperature Work with numbers big and small to estimate and calculate various quantities in biological contexts. By exploring the concept of scale invariance, find the probability that a random piece of real data begins with a 1. The probability that a passenger books a flight and does not turn up is 0.05. For an aeroplane with 400 seats how many tickets can be sold so that only 1% of flights are over-booked? Look at the advanced way of viewing sin and cos through their power series. To investigate the relationship between the distance the ruler drops and the time taken, we need to do some mathematical modelling... Use the computer to model an epidemic. Try out public health policies to control the spread of the epidemic, to minimise the number of sick days and deaths. Could nanotechnology be used to see if an artery is blocked? Or is this just science fiction? How efficiently can you pack together disks? Estimate these curious quantities sufficiently accurately that you can rank them in order of size Analyse these beautiful biological images and attempt to rank them in size order. When you change the units, do the numbers get bigger or smaller? Can you work out which processes are represented by the graphs? Imagine different shaped vessels being filled. Can you work out what the graphs of the water level should look like? Explore the properties of perspective drawing. Work with numbers big and small to estimate and calulate various quantities in biological contexts. Looking at small values of functions. Motivating the existence of the Taylor expansion. In Fill Me Up we invited you to sketch graphs as vessels are filled with water. Can you work out the equations of the graphs? Are these estimates of physical quantities accurate? Various solids are lowered into a beaker of water. How does the water level rise in each case? Explore the meaning of the scalar and vector cross products and see how the two are related. How is the length of time between the birth of an animal and the birth of its great great ... great grandparent distributed? Can you find the volumes of the mathematical vessels? Match the descriptions of physical processes to these differential Can you draw the height-time chart as this complicated vessel fills Which units would you choose best to fit these situations?

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http://repository.aust.edu.ng/xmlui/handle/123456789/5121

math

Algorithms For Approximation of J-Fixed Points of Nonexpansive - Type Maps, Zeros of Monotone Maps, Solutions of Feasibility and Variational Inequality Problems It is well known that many physically significant problems in different areas of research can be transformed at equilibrium state into an inclusion problem of the form 0 ∈ Au, where A is either a multi-valued accretive map from a real Banach space into itself or a multi-valued monotone map from a real Banach space into its dual space. In several applications, the solutions of the inclusion problem, when the map A is monotone, corresponds to minimizers of some convex functions. It is known that the sub-differential of any convex function, say g, and denoted by ∂g is monotone, and for any vector, say v, in the domain of g, 0 ∈ ∂g(v) if and only if v is a minimizer of g. Setting ∂g ≡ A, solving the inclusion problem, is equivalent to finding minimizers of g. The method of approximation of solutions of the inclusion problem 0 ∈ Au, when the map A is monotone in real Banach spaces, was not known until in 2016 when Chidume and Idu introduced J-fixed points technique. They proved that the J-fixed points correspond to zerosof monotone maps which are minimizers of some convex functions. In general, finding closed form solutions of the inclusion problem, where A is monotone is extremely difficult or impossible. Consequently, solutions are sought through the construction of iterative algorithms for approximating J-fixed points of nonlinear maps. In chapter three, four and seven of the thesis, we present a convergence result for approximating zeros of the inclusion problem 0 ∈ Au. Let H1 and H2 be real Hilbert spaces and K1, K2, · · · , KN , and Q1, Q2, · · · , QP , be nonempty, closed and convex subsets of H1 and H2, respectively, with nonempty intersections K and Q, respectively, that is, K = K1 ∩ K2 ∩ · · · ∩ KN ̸= ∅ and Q = Q1 ∩ Q2 ∩ · · · ∩ QP ̸= ∅. Let B : H1 → H2 be a bounded linear map, Gi : H1 → H1, i = 1, · · · , N and Aj : H2 → H2, j = 1, · · · , P be given maps. The common split variational inequality problem introduced by vi Censor et al. in 2005, and denoted by (CSVIP), is the problem of finding an element u ∗ ∈ K for which ( ⟨u − u∗ , Gi(u∗)⟩ ≥ 0, ∀ u ∈ Ki, i = 1, 2, · · · , N, such that ∗ = Bu∗ ∈ Q solves ⟨v − v ∗ , Aj (v∗ )⟩ ≥ 0, ∀ v ∈ Qj , j = 1, 2, · · · , P. The motivation for studying this class of problems with N > 1 stems from a simple observation that if we choose Gi ≡ 0, the problem reduces to finding u ∗ ∈ ∩N i=1Ki , which is the known convex feasibility problem (CFP) such that Bu∗ ∈ ∩P j=1V I(Qj , Aj ). If the sets Ki are the fixed point sets of maps Si : H1 → H1, then, the convex feasibility problems (CFP) is the common fixed points problem(CFPP) whose image under B is a common solution to variational inequality problems (CSVIP). If we choose Gi ≡ 0 and Aj ≡ 0, the problem reduces to finding u ∗ ∈ ∩N i=1Ki such that the point Bu∗ ∈ ∩P j=1Qj which is the well known multiple-sets split feasibility problem or common split feasibility problem which serves as a model for many inverse problems where the constraints are imposed on the solutions in the domain of a linear operator as well as in the range of the operator. A lot of research interest is now devoted to split variational inequality problem and its gener-alizations.In chapter five and six of the thesis, we present convergence theorems for approximating solu-tions of variational inequalities and a convex feasibility problem; and solutions of split varia-tional inequalities and generalized split feasibility problems.

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https://detmagazine.ru/circular-motion-problem-solving-16859.html

math

Tags: Graphic Design Thesis ReportFraction Problem Solving With SolutionStudent EssayAma Reference Style DissertationCritical Thinking Skills Teaching ResourcesDraw A Picture Problem SolvingEssay On My PetTopic Sentence For A Research Paper And when a rope pulls, we call that the force of tension, so I'm gonna call this the tension. Now we know what kind of force is acting as the centripetal force. Sometimes, people want to do this, they're like, oh yeah, there's a force of tension, and there's also a centripetal force.But that's just crazy because this tension is the centripetal force. Similarly, over here, I'm not gonna draw the centripetal force twice. I mean, it's possible you could have two forces inward. Use Newton's second law again for another direction, and that'll get you to where you need to be. So in other words, let's draw a quality force diagram. A possible question would be, well, what's the force of tension in the rope? And so, now's a good time for me to let you in on a little secret. I wouldn't draw it twice anymore than I'd come over here and say, yeah, there's a normal force, there's also upward force. Maybe there's two ropes and you had a second tension over here pulling inward, but you'd better be able to identify what force it is before you draw it. Don't just call it F centripetal, so you might be like, yeah, yeah, I get it. So saying the force that causes this ball to go in a circle is the centripetal force is a little unsatisfying. It'd be like answering the question, what force balances the force of gravity while the ball's on the table with the answer, the upward force. And then you use Newton's second law for one of the directions at a time. And if the direction you chose to analyze Newton's second law for didn't get you to where you needed to be, just do it again.

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https://modernmood.me/20-fantastic-glow-ups-of-people-who-were-once-ugly-ducklings-but-now-have-turned-into-graceful-swans/

math

Don’t ever ignore the unsightly and unattractive person in your class. Believe me, they turn out to be the ones you’ll kill to get attention from. All that matters is strong willpower and patience. Lenses, braces, beard, makeup, change of hairstyle, or some lbs down – this is all that takes someone to turn from an ugly duckling into a beautiful and graceful swan. Our team has compiled the greatest transformations of people who really turned into butterflies. Check them out and tell “what’s your excuse?” #1. From 13 to 17, a real change #2. How hair changes everything #3. Wow, now this is a real glow-up #4. 5 years apart. Lost some weight, gained some confidence, kept the hoodie! #5. Can’t believe this is the same men #6. “Dyed my hair, opened my eyes, got eyebrows…” #7. Wow, do you think this is the same person? #8. New style and facial hair seems to help #9. One of the greatest transformations #10. Never lose faith #11. Who’s laughing now? #12. Working out and Water does wonders! #13. “10 to 20! My nickname used to be ugly” #14. You go, girl! #15. Did she change a lot? #16. Some epic results here #17. Speaking of glow-ups, who just nailed it? #18. 13 VS 27. Speechless here #19. Wow, how did she do this? #20. Rate this one!

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https://vivo.library.tamu.edu/vivo/display/n685922SE

math

The football player and the infinite series Institutional Repository Document - View All This is the text of an expository talk given at the May 1997 Detroit meeting of the American Mathematical Society. It is a tale of a famous football player and a subtle problem he posed about the uniform convergence of Dirichlet series. Hiding in the background is the theory of analytic functions of an infinite number of variables. author list (cited authors) complete list of authors

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http://conde-en-brie.eu/pdf-of-beta-distribution-in-r/

math

This article is about Euler pdf of beta distribution in r function. Some of these identities, e. This page was last edited on 6 February 2018, at 19:58. 80-20 distribution to fit a wide range of cases, including natural phenomena and human activities. 2, the variance does not exist. He also used it to describe distribution of income. Note that the Pareto distribution is not realistic for wealth for the lower end. This distribution is not limited to describing wealth or income, but to many situations in which an equilibrium is found in the distribution of the “small” to the “large”. Pareto distribution is applied to extreme events such as annually maximum one-day rainfalls and river discharges. The last expression is the cumulative distribution function of an exponential distribution with rate α. Pareto distributions are continuous probability distributions. This does not apply only to income, but also to wealth, or to anything else that can be modeled by this distribution. 1, which, as noted above, have infinite expected value, and so cannot reasonably model income distribution. Lorenz curves for a number of Pareto distributions. Examples of the Lorenz curve for a number of Pareto distributions are shown in the graph on the right. 62 people have as much wealth as the poorest half of the world’s population. We can estimate the Pareto index that would apply to this situation. The solution is that α equals about 1. Lorenz plot on the right. Specifically, the Gini coefficient is twice the area between the Lorenz curve and the equidistribution line. As in the standard Pareto distribution α determines the shape. Continuous univariate distributions Vol 1. Wiley Series in Probability and Statistics. Another example of the analysis of failure data”. Chapter 7: Pareto and Generalized Pareto Distributions”. Cours d’Économie Politique: Nouvelle édition par G. Librairie Droz, Geneva, 1964, pp. A New Parametric Model for Size Distributions”. We found consistently across all models that the geometric distribution is a poor fit, while the Pareto distribution provides the best fit. Survival probabilities based on Pareto claim distributions”. Power laws, Pareto distributions and Zipf’s law”. Estimation of the Parameters of the Pareto Distribution”. Do Financial Returns Have Finite or Infinite Variance? Methods of measuring the concentration of wealth”. C program to generate synthetic packet traffic with bounded Pareto burst size and exponential interburst time. This page was last edited on 7 February 2018, at 12:00. 1 indicates that the failure rate decreases over time. 1 indicates that the failure rate is constant over time.

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CC-MAIN-2018-30

https://www.vedantu.com/ncert-solutions/ncert-solutions-class-10-maths-chapter-6-triangles

math

NCERT Class 10 Maths Chapter 6: Complete Resource for Triangles The benefits of using NCERT Solutions for Class 10 Maths Triangles PDF is profound. The PDF of Class 10 Maths Chapter 6 NCERT Solutions has been prepared by expert mathematicians at Vedantu after thorough research on the subject matter. All the solutions provided here are written in a simple and lucid manner. With the aid of these NCERT Solutions for Class 10 Chapter 6 of Maths, students can not only improve their knowledge but also aspire to score better in their examinations. What is even better is that you can now download these NCERT Solutions for Class 10 Chapter Triangles PDF for free. The PDF will allow you to refer to these solutions as per your need and convenience. Download NCERT Solution PDF today to have easy access to all subject solutions for free which also includes Class 10 Science NCERT Solutions. Exercises under NCERT Solutions for Class 10 Maths Chapter 6 Triangles NCERT Solutions for Class 10 Maths Chapter 6, "Triangles," is a chapter that deals with the properties and classification of triangles. The chapter contains six exercises, each covering a different aspect of the topic. Below is a brief explanation of each exercise: Exercise 6.1: In this exercise, you will be introduced to the basic concepts of triangles, including the definition, elements, types, and angles. You will also learn about congruent triangles and the criteria for their congruence. Exercise 6.2: This exercise focuses on the properties of triangles, such as the angle sum property, the exterior angle property, and the inequality theorem. You will also learn about the Pythagorean theorem and its applications. Exercise 6.3: In this exercise, you will learn about the similarity of triangles, including the criteria for similarity, the theorem of basic proportionality, and the application of similarity in practical situations. Exercise 6.4: This exercise covers the mid-point theorem, which states that the line segment joining the midpoints of two sides of a triangle is parallel to the third side and half of its length. You will also learn about the converse of this theorem. Exercise 6.5: In this exercise, you will learn about the altitude and median of a triangle and their properties. You will also learn about the centroid and the orthocenter of a triangle. Exercise 6.6: This exercise covers the concept of the circumcenter and incenter of a triangle and their properties. You will also learn about the construction of circumcenter and incenter using various methods. NCERT Maths Class 10 Chapter 6 - Free PDF Download You can opt for Chapter 6 - Triangles NCERT Solutions for Class 10 Maths PDF for Upcoming Exams and also You can Find the Solutions of All the Maths Chapters below. NCERT Solutions for Class 10 Maths Other Chapter Solutions PDF Download NCERT Solutions for Class 10 Maths Chapter 6 Triangles Details Given below are the details of the various sub-topics included in the Class 10 Chapter 6 Triangles NCERT Solutions: NCERT Solutions for Class 10 Maths Chapter 6 Triangles: 6.1 Introduction The PDF of Class 10 Maths Triangles recalls students’ knowledge in this introduction part. Students were already introduced to the concept of Triangles in Class 9 wherein they studied properties such as congruence of Triangles. The introduction part of the chapter basically acts as a window for the students so that they are able to get an insight as to what would they be learning new under the topic of Triangles. NCERT Solutions for Class 10 Maths Chapter 6 Triangles: 6.2 Similar Figures In this section of the Class 10 Maths Chapter 6, students are introduced to the concept of similar figures. Students are taught the basis of similarity in figures such as squares or equilateral triangles with the same lengths of the sides, circles with the same radii. As the students progress through this topic, they get to understand that similar figures can have the same shape but not necessarily the exact size. The questions from this topic mostly ask students to prove similarity between figures by applying the theorems. NCERT Solutions for Class 10 Maths Chapter 6 Triangles: 6.3 Similarity of Triangles Once the students are made familiar with the concept of similarity, they are then introduced to the criteria under which two or more triangles are deemed similar. The NCERT Solutions for Class 10 Maths Chapter 6 PDF, in this section, explains the theorem of Basic Proportionality. A thorough understanding of this topic will allow students to form the base for solving complex problems in higher mathematics. NCERT Solutions for Class 10 Maths Chapter 6 Triangles: 6.4 Criteria for Similarity of Triangles This section outlines and explains the criteria for the similarity of triangles. The basic criteria for two triangles to be called similar include: if their corresponding angles are equal and if the corresponding sides of the triangles are in the same ratio (or proportion). Students will be able to visualise the theorems as they are illustrated with the help of proper examples. NCERT Solutions for Class 10 Maths Chapter 6 Triangles: 6.5 Areas of Similar Triangles Students can understand the formula and learn the process for finding the surface area of similar triangles in this section. Maths NCERT Class 10 Chapter 6 allows students to find the area of similar triangles with the utilisation of the different theorems. NCERT Solutions for Class 10 Maths Chapter 6 Triangles: 6.6 Pythagoras Theorem The NCERT Solutions Class 10 Chapter 6 explores the use of the Pythagoras theorem in the case of similar triangles. Students have already learnt the theorem and its proof in Class 9. In this section, students will learn how to prove this theorem by employing the concept of similarity of triangles. NCERT Solutions for Class 10 Maths Chapter 6 Triangles: 6.7 Summary The summary comprises all the topics that you have studied in the chapter. Going through the summary will allow you to recollect all that you have learnt in the chapter including the important concepts, theorems, etc. Points to Remember 1. A triangle is a polygon with three angles and three sides. A triangle's interior angles add up to 180 degrees, whereas its exterior angles add up to 360 degrees. 2. A triangle can be classified into the following types based on its angle and sides. Scalene Triangle: All the three sides of this triangle have different measures. Isosceles Triangle: Any two sides of this triangle have equal length. Equilateral Triangle: All the three sides of this triangle are equal and each angle measures 60 degrees. Acute Angled Triangle: All the angles measure less than 90 degrees. Right Angle Triangle: Any one of the 3 angles is equal to 90 degrees. Obtuse-Angled Triangle: One of the angles is greater than 90 degrees. 3. Centroid of a Triangle The centroid of a triangle is the point where the medians of its three sides intersect. It will always be within the triangle. 4. Incenter of a Triangle The incenter of a triangle is defined as the point where the angle bisectors of the three angles intersect. It is the point in the triangle where the circle is inscribed. Drawing a perpendicular from the incenter to any of the triangle's sides gives the radius. 5. Circumcenter of the Triangle The circumcenter of a triangle is defined as the point where the perpendicular bisectors of its three sides intersect. It isn't necessarily located inside the triangle. For an obtuse triangle, it might be outside the triangle, but for a right-angled triangle, it could be at the midpoint of the hypotenuse. The orthocenter of a triangle is the point where the altitudes of the triangle intersect. It also falls outside the triangle in the case of an obtuse triangle and at the vertex of the triangle in the case of a right-angle triangle, just like the circumcenter. 7. Similarity of Triangles In triangles, we'll use the same condition that two triangles are similar if their respective angles are the same and their corresponding sides are proportionate. 8. Basic Proportionality Theorem According to Thales theorem, if a line is drawn parallel to any of the triangle's sides so that the other two sides intersect at a distinct point, the two sides are divided in the same ratio. 9. Converse of Basic Proportionality Theorem It is the inverse of the basic proportionality theorem, which states that if a straight line divides the two sides of a triangle in the same ratio, that straight line is parallel to the triangle's third side. Similarity Criteria of Triangles There are four criteria for determining if two triangles are similar or not. They are as follows: Side-Side- Side (SSS) Criterion Angle Angle Angle (AAA) Criterion Angle-Angle (AA) Criterion Side-Angle-Side (SAS) Criterion NCERT Solutions for Class 10 Maths Chapter 6 All Exercises Vedantu's NCERT Solutions for Class 10 Maths Chapter 6 - Triangles provide a comprehensive and accessible resource for students to grasp the intricacies of triangle geometry. With a diverse range of well-structured exercises and step-by-step explanations, these solutions promote a deeper understanding of key concepts. By incorporating real-life applications, students can appreciate the relevance of triangles in everyday scenarios. Vedantu's expertly crafted solutions foster self-confidence in solving complex problems, bolstering students' problem-solving abilities. The user-friendly platform encourages interactive learning, making the study process engaging and enjoyable. As a reliable aid, Vedantu's NCERT Solutions for Class 10 Maths Chapter 6 empower students to excel in their academics and develop a strong foundation in geometry. FAQs on NCERT Solutions for Class 10 Maths Chapter 6 - Triangles 1. How Many Exercises are There in NCERT Solutions for Class 10 Maths Chapter 6 Triangles? The Class 10 Maths NCERT Solutions for the Chapter Triangles contain exercises corresponding to each topic. The chapter contains a total of 6 exercises with a total of 65 questions. The questions include a mix of long and short type questions. Students should attempt to understand all the concepts and theorems given in the chapter and then solve the questions in the exercises. Solving these questions will definitely give the students a competitive edge in the exams. 2. How Many Marks are Allotted to the Class 10 Maths Chapter 6 Triangles in the Board Exam? The Class 10 Maths Chapter 6 Triangles is a part of a broader unit ‘Geometry’ in the Board exams. The unit of Geometry comprises a total of 15 marks in the Board exams. The Triangles chapter is an important chapter as per the examination point of view and as such is likely to carry around 5-6 marks in the Class 10 Board exams. 3. Which are the Important Topics to Remember Present in CBSE Class 10 Chapter 6 Triangles? In the CBSE Class 10 Maths Chapter 6, the topic discussed is Triangles. The topics that are important from this chapter are: Similarity theorems of triangles. Criteria for triangle similarity. Area calculation of similar triangles. Pythagoras theorem and the concept of similar triangles. Students should make sure that they are thorough with all these topics and should leave no stone unturned to practise as many questions as possible while preparing this topic for the exams. 4. Can the PDF of NCERT Solutions for Class 10 Maths Chapter 6 Triangles be Downloaded for Free? Yes, at Vedantu you can download the NCERT Solutions for Class 10 Maths Chapter 6 Triangles PDF for absolutely free of cost. The solutions of this chapter have been compiled by some of the best subject experts and provide a clear insight into the various concepts included in the chapter. To download the PDF of the Class 10 Maths Chapter 6, you will just be required to click on the link provided on this page. You can also choose to take a print out of the PDF and keep it handy for revision purposes. You can also download the Vedantu app n your phone from where you will be able to access the top-notch study material for your Class 10 exam preparation at one go. 5. Do I need to practice all the questions given in the NCERT Solutions Class 10 Maths Triangles? It is a good idea to practice every question given in the NCERT Solutions for the Class 10 Maths chapter on Triangles. This way you will understand all the topics and concepts clearly and solve all the problems easily. You will also gain confidence about the exam with increased speed and accuracy because the NCERT Solutions provided by Vedantu are curated by subject matter experts. These solutions are therefore guaranteed to help you to clear your concepts easily and effectively for your exam. 6. What are the important topics covered in Class 10 Maths NCERT Solutions Chapter 6? Chapter 6 of the Class 10 Maths NCERT book deals with Triangles. The most important topics that are covered in this chapter are: Definition of a triangle Similarity of two polygons with an equal number of edges Similarity of triangles Proving the Pythagorean Theorem The concepts of Class 10 Maths Chapter 6 may be a bit tricky to understand. Therefore it's a good idea to download and study the NCERT solutions for Class 10 Maths. These solutions are prepared by subject matter experts with decades of experience and will help you to understand all concepts thoroughly and easily. 7. How can I score the best in Class 10 Maths Chapter 6 Triangles? The following points will help you to score well and get to the best of your potential in Class 10 Maths Chapter 6 Triangles: Understand the concept of this chapter. Refer to extra materials like NCERT Solutions of Class 10 Maths Chapter 6 Triangles available at free of cost on the Vedantu app and on the Vedantu website. Solve model papers. Maintain a separate notebook for formulas and theorems. Practice graphs and diagrams. If you want to score better than all your peers, then your best shot is definitely to download the NCERT Solutions for Class 10 Maths by Vedantu. Vedantu’s NCERT solutions are prepared by the best Maths teachers in India and written in easy to understand language. 8. What are the most important theorems that come in Class 10 Chapter 6 Triangles? The most important theorems in class 10 Chapter 6 Triangles are: Angle Bisector Theorem Inscribed Angle Theorem To clearly understand the major theorems included in the Class 10 Chapter 6 Triangles, it's best to download the NCERT solutions for Class 10 Maths. These solutions will help you in learning advanced theorems like the ones present in this chapter. This way you can be sure that you will be able to score well in your Class 10 board exams as well.

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CC-MAIN-2023-50

https://ceccpointnews.com/Ellison-8-17-18.html

math

DNC Deputy Chair Credibly Accused of Domestic Abuse Minnesota Democratic Representative and Deputy Chair of the DNC Keith Ellison has vowed to “keep fighting” in the wake of allegations that he physically and emotionally abused an ex-girlfriend. Ellison, who is stepping down from his congressional seat at the end of this term, on Tuesday won the Minnesota Democratic primary for Attorney General, just days after the allegations broke. The left, who traditionally state that victims’ statements must always be taken at face value, is split over the abuse allegations against Ellison with some doubting the veracity of the claims. The accusations against Ellison stem from a lengthy Saturday night Facebook post by the son of Ellison’s ex-girlfriend, environmental activist Karen Monahan. In the post, Monahan’s son described a video of Ellison abusing his mother, dragging her off a bed by her feet and calling her a “f***ing b**ch,” as well as a series of allegedly abusive text and twitter conversations. In a Sunday tweet Karen Monahan, whose long-term relationship with Ellison ended in 2016, confirmed her son’s statements saying, “What my son said is true. Every statement he made was true.” Despite Monahan’s statement, she has not released the recording, which Ellison says could not possibly exist as he has never abused an ex-girlfriend. In an interview with Minnesota public radio, Monahan said that she does not plan to release the recording as, “It’s humiliating, it’s traumatizing, for everyone’s family involved, and for me.” She has, however, released a batch of 100 text and Twitter messages between her and Ellison. However, according to reporter Briana Bierschbach, “there is no evidence in the messages reviewed by MPR News of the alleged physical abuse.” There are also no police reports or court documents relating to the alleged abuse. These new allegations against Ellison seem to support earlier allegations made by Left-wing activist Amy Alexander who claimed in 2006 that Ellison abused her. Writing at the time, Alexander said, "His anger kicked in. He berated me. He grabbed me and pushed me out of the way. I was terrified. I called the police.” Independent journalist Laura Loomer recently published evidence of a 2005 9-1-1 call regarding the abuse of Alexander. Despite the allegations against him, Ellison handily won the Democratic nomination for Minnesota Attorney General with 50% of the vote. His closest competitor in the crowded field, Debra Hilstrom, only garnered 19%. While the allegations gave many voters pause, most determined that there was a lack of credible evidence and that the timing of the allegations was too suspect. Some voters cited last year’s resignation of Minnesota Senator Al Franken as a motivating factor in their decision to continue to support Ellison. The Democratic candidate is also benefiting from institutional support in the face of the allegations. The DNC did not make a statement on the issue until late on Tuesday, hours before voting in the Minnesota primary ended. The DNC statement reads, “These allegations recently came to light and we are reviewing them. All allegations of domestic abuse are disturbing and should be taken seriously.” Former DNC communications director Luis Miranda was sterner on the matter telling NPR, “The party has no choice but to suspend him at a minimum until they figure out what’s going on.” DNC Chairman Tom Perez said Wednesday that while he takes the allegations “very seriously,” he does not believe that they threaten the party as it seeks to capitalize on opposition to President Trump. It is unlikely that the allegations against Ellison will pose a serious political threat to him in heavily Democratic Minnesota unless a criminal investigation uncovers further evidence of abuse. The lackluster response of party officials and the mainstream media demonstrates the double standard that exists regarding sexual misconduct on the part of the left. It is interesting that those who are so quick to convict others in the court of public opinion, without evidence, are so hesitant to accuse one of their own without further investigation. This just goes to show that so much of the social justice posturing that we see is not based in principle, but rather on a political tribalism that threatens to destabilize the Republic. Donations: Support Real NewsPatreon Donation GoFundMe Donations Paypal Donations                                                                                                                                                  Show QR Code 132DBomiwRvsirDGp nWyY2jWSRfZUMvcgV                                                                                                                                                 Show QR Code 0x1A5717cCbB0dd022EE9 0F18aC87536830F1F1847                                                                                                                                                 Show QR Code Lhze1RNN9NE9tUv1 vgo6TtV64Tqoj1oeHv                                                                                                                                                 Show QR Code

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https://demtutoring.com/answered/science/q5480

math

** show all your work to earn full credit. mike went to the store. he bought 3 drinks that cost $1.79 each. if he paid $10.00, how much money did he get back? Get the answer Category: science | Author: Selma Yafa *** somebody help me** point p is the circumcenter abc. point p is the point of concurrency of the perpendicular bisector. find as ***15 points*** a truncated cube is a convex polyhedron with 36 edges and 24 vertices. a truncated tetrahedron is a convex polyhedron with 18 edges an ***2 portsa historian notes that many african americans moved from southern ruralareas of the united states to large urban centers farther north betwe

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https://www.studypool.com/discuss/1255466/Economics-help-needed-to-Compute-the-Nominal-GDP?free

math

Thank you for the opportunity to help you with your question! Calculation for GDP.... For year 2000...... For rum, cost of 5000 bottlles=15x5000=7500dollars Cost of 10000 bags of rice=10,000x200=2000,000dollars Cost of 800 bags of beans=250x8000=1400,000dollars Total GDP for year 2000=7500+2000,000+1400,000=3475,000dollars Now for year 2014...... Cost for 7500 bottles of rum=25x7500=187500dollar Cost of 25,000bags of rice=25,000x350=8750,000dollar Cost of 20,000 bags of beans=400x20,000=8000000dollar So GDP for 2014=187500+8750000+8000000=16937500dollarPlease let me know if you need any clarification. I'm always happy to answer your questions. Real GDP accounts for the price changes that may occur due to inflation.If prices change from one period to the next but actual output does not change,NGDP will also change even though output remains same.To adjust for price change,RGDP is calculated using prices from specific year , the base year. In this case base year is year 2000.so for year 2000 the NGDP and RGDP are same. For year 2014 ,RGDP and N GDP are different.We can calculate the cost of all items separately , using the cost price for each item for year 2000, though quantity will be for year 2014. And you can calculate in similar way and find RGDP for year 2014. I think this will help you. GDP deflator for year 2000 will be same as NGDP because our base year is year 2000 For year 2014, we can calculate GDP deflator.... Cost of 7500 bottles of rum=15x7500=112,500dollars Cost of 25,000 of bags of rice=25,000x200=5000,000dollars Cost of 20,000 bags of beans=20,000x250=5000,000dollars Total cost=GDP deflator for year2014=112,5000+5000,000+5000,000=10112,500dollars When we calculate GDP deflator, we take the cost price for the base year and quantity for the year for which we are calculating GDP deflator , here this is year 2014. CPI, consumer price index..... This is the estimate of the price level of consumer goods and services in an economy. A CPI takes certain basket of common goods and services and tracks the changes in the prices of that basket of goods over time. Calculation for CPI..... Step(1)....select a base year, say year 2000 Step(2)...select a basket of goods, say rum, beans bags and rice bags and add the prices of all goods in that year. Step(3)....select the year you want to calculate CPI, here year 2014 , and add all the prices of all goods in that basket for that year , 2014 Step(4)....calculate CPI as... CPI==price of goods in year 2014/price of goods in year2000x100 So inflation =487-100=387 percent I think now you can understand. Suppose that the closed economy of an island H is described by the following equations: GDP (Y) = 10000, government expenditures (G)= 600, (Taxes (T) = 2000, Consumption (C) =400 + 3/4 (Y-T), and investment (I) = 200 -1400 r 1. Private Sving 2. Public Saving 4. Equilibrium interest rate 5. What can you you conclude about the economy of island H? Hi, before attempting this I want to clear one thing , will I be paid for the correct answer? Also what is r in this question, it is not clear to me, waiting for your reply, thanks Ok, I can try... In closed economy, if Y is the national income(GDP), C is the consumption, I is the investment, and G is the government purchases, then.... National saving can be thought as the amount of remaining money that is not consumed or spent by government.In simple model of closed economy, anything which is not used is to be invested, so National saving should be split into private saving and public saving.A new term T is tax payed by consumers that goes directly to the government as shown here.... Y-C-G+T-T=I We add T and subtract T , so eq does not change Now (Y-T-C) is called private saving (T-G) is called the public savings , also the government revenue minus government expenditure.This is also known as Budget surplus. Government expenditure G=600 Now private saving=Y-T-C=10,000-2000-6400=10,000-8400=1600 National Saving=Private saving +Public saving=1600+1400=3000=I Now r is the equilibrium interest rate, we can calculate it as follows... Substituting the value of I, we get... r=-2800/1400=-2 Is same as -200percent The negative value of r is not a interesting figure, I am wondering whether eq I=200-1400r is written correct, pl check it again. About economy of the island H, I can say that when revenue of government is more than expenditure, which is public saving is 1400 , so there is Budget Surplus, this the situation when income exceeds the expenditure, it means government is being run efficiently, economy of the island is good, a Budget surplus might be used to pay off debts, for the development of the island. I think this will help you, regarding payments, whatever you feel ok, you can pay ,I will appreciate that. Its a spreadsheet assignment that needs to uplpoaded Its about 22 questions on what functions to use to fill out a worksheet/ spreadsheet are you familiar with spreadsheet assignments or should i ask another tutor Content will be erased after question is completed.

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http://zoomin.iol.pt/freebooks/ramanujans-lost-notebook-part-iii

math

In the spring of 1976, George Andrews of Pennsylvania kingdom collage visited the library at Trinity university, Cambridge to envision the papers of the overdue G.N. Watson. between those papers, Andrews found a sheaf of 138 pages within the handwriting of Srinivasa Ramanujan. This manuscript used to be quickly certain, "Ramanujan's misplaced notebook." Its discovery has often been deemed the mathematical an identical of discovering Beethoven's 10th symphony. This quantity is the 3rd of 5 volumes that the authors plan to write down on Ramanujan’s misplaced laptop and different manuscripts and fragments present in The misplaced pc and different Unpublished Papers, released by way of Narosa in 1988. the normal partition functionality p(n) is the focal point of this 3rd quantity. specifically, ranks, cranks, and congruences for p(n) are within the highlight. different issues contain the Ramanujan tau-function, the Rogers–Ramanujan capabilities, hugely composite numbers, and sums of powers of theta functions. Review from the second one volume: "Fans of Ramanujan's arithmetic are absolute to be extremely joyful by means of this ebook. whereas a few of the content material is taken at once from released papers, so much chapters include new fabric and a few formerly released proofs were more suitable. Many entries are only begging for extra learn and should definitely be inspiring learn for many years to return. the following installment during this sequence is eagerly awaited." Review from the 1st volume: nd Berndt are to be congratulated at the activity they're doing. this is often the 1st step...on easy methods to an realizing of the paintings of the genius Ramanujan. it's going to act as an notion to destiny generations of mathematicians to take on a role that would by no means be complete." - Gazette of the Australian Mathematical Society Read or Download Ramanujan's Lost Notebook: Part III PDF Best Number Theory books . . . if one desires to make development in arithmetic one should still learn the masters now not the students. N. H. Abel Heeke was once one in all the masters, and actually, the research of Heeke L sequence and Heeke operators has completely embedded his identify within the textile of quantity idea. it's a infrequent prevalence whilst a grasp writes a easy publication, and Heeke's Lectures at the conception of Algebraic Numbers has turn into a vintage. Kummer's paintings on cyclotomic fields prepared the ground for the advance of algebraic quantity concept generally through Dedekind, Weber, Hensel, Hilbert, Takagi, Artin and others. in spite of the fact that, the good fortune of this normal thought has tended to vague specified proof proved via Kummer approximately cyclotomic fields which lie deeper than the overall concept. This well-developed, obtainable textual content info the old improvement of the topic all through. It additionally presents wide-ranging insurance of important effects with relatively trouble-free proofs, a few of them new. This moment version includes new chapters that offer an entire facts of the Mordel-Weil theorem for elliptic curves over the rational numbers and an summary of modern growth at the mathematics of elliptic curves. Mathematicians and non-mathematicians alike have lengthy been excited about geometrical difficulties, fairly those who are intuitive within the experience of being effortless to country, might be due to an easy diagram. every one part within the ebook describes an issue or a gaggle of similar difficulties. frequently the issues are in a position to generalization of version in lots of instructions. Extra resources for Ramanujan's Lost Notebook: Part III

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https://www.shop4allsorts.co.uk/kitchenware~13-c/kilner-1l-square-clip-top-glass-food-storage-preserve-jar-canister-pot-1000ml~d4-016-p.html

math

Kilner 1L Square Clip Top Glass Food Storage Preserve Jar Canister Pot 1L - 1000ML Overall expternal measurment: W 11cm x H 16cm x D 13.5cm Kilnerâ## brand embossed on the front of the jar and are finished with an orange rubber seal These jars are perfect for storing a whole range of dry food stuff##s such as rice, flour, tea and coffee etc The jars are also the perfect companion for preserving fruits, jams and chutney##s Please Log in first to post your review.

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CC-MAIN-2019-30

https://www.tenlong.com.tw/products/9780534495015

math

Discrete Mathematics for Computer Science (Hardcover) Gary Haggard, John Schlipf, Sue Whitesides Master the fundamentals of discrete mathematics with DISCRETE MATHEMATICS FOR COMPUTER SCIENCE with Student Solutions Manual CD-ROM! An increasing number of computer scientists from diverse areas are using discrete mathematical structures to explain concepts and problems and this mathematics text shows you how to express precise ideas in clear mathematical language. Through a wealth of exercises and examples, you will learn how mastering discrete mathematics will help you develop important reasoning skills that will continue to be useful throughout your career.

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https://www.hackmath.net/en/math-problem/707

math

What is the surface of a regular tetrahedral (four-sided) pyramid if the base edge a=16 and height v=16? Thank you for submitting an example text correction or rephasing. We will review the example in a short time and work on the publish it. Showing 0 comments: Tips to related online calculators You need to know the following knowledge to solve this word math problem: Next similar math problems: - Top of the tower The top of the tower has the shape of a regular hexagonal pyramid. The base edge has a length of 1.2 m, the pyramid height is 1.6 m. How many square meters of sheet metal is needed to cover the top of the tower if 15% extra sheet metal is needed for joint - Pyramid roof 2/4 of area of the roof shaped regular tetrahedral pyramid with base edge 10 m and height of 4 m is already covered with roofing. How many square meters still needs to be covered? - Tetrahedral pyramid Calculate the volume and surface of the regular tetrahedral pyramid if content area of the base is 20 cm2 and deviation angle of the side edges from the plane of the base is 60 degrees. - Triangular pyramid A regular tetrahedron is a triangular pyramid whose base and walls are identical equilateral triangles. Calculate the height of this body if the edge length is a = 8 cm Right angle prism, whose base is right triangle with leg a = 3 cm and hypotenuse c = 13 cm has same volume as a cube with an edge length of 3 dm. a) Determine the height of the prism b) Calculate the surface of the prism c) What percentage of the cube's s - Quadrilateral pyramid In a regular quadrilateral pyramid, the height is 6.5 cm and the angle between the base and the side wall is 42°. Calculate the surface area and volume of the body. Round calculations to 1 decimal place. The top of the tower is a regular hexagonal pyramid with base edge 8 meters long and a height 5 meters. How many m2 of the sheet is required to cover the top of the tower if we count 8% of the sheet waste? - Hexagon cut pyramid Calculate the volume of a regular 6-sided cut pyramid if the bottom edge is 30 cm, the top edge us 12 cm, and the side edge length is 41 cm. - Truncated pyramid The concrete pedestal in the shape of a regular quadrilateral truncated pyramid has a height of 12 cm, the pedestal edges have lengths of 2.4 and 1.6 dm. Calculate the surface of the base. - Secret treasure Scouts have a tent in the shape of a regular quadrilateral pyramid with a side of the base 4 m and a height of 3 m. Determine the radius r (and height h) of the container so that they can hide the largest possible treasure. - Tetrahedral pyramid Calculate the volume and surface area of a regular tetrahedral pyramid, its height is $b cm and the length of the edges of the base is 6 cm. - Pyramid four sides In a regular tetrahedral pyramid is a body height 38 cm and a wall height 42 cm. Calculate the surface area of the pyramid; the result round to square centimeters. - Triangular prism The triangular prism has a base in the shape of a right triangle, the legs of which is 9 cm and 40 cm long. The height of the prism is 20 cm. What is its volume cm3? And the surface cm2? - Pyramid cut We cut the regular square pyramid with a parallel plane to the two parts (see figure). The volume of the smaller pyramid is 20% of the volume of the original one. The bottom of the base of the smaller pyramid has a content of 10 cm2. Find the area of the - Quadrangular pyramid Calculate the surface area and volume of a regular quadrangular pyramid: sides of bases (bottom, top): a1 = 18 cm, a2 = 6cm angle α = 60 ° (Angle α is the angle between the side wall and the plane of the base.) S =? , V =? - Digging a pit The pit has the shape of a regular quadrilateral truncated pyramid. The edges of the bases are 14m and 10m long. The sidewalls form an angle of 135° with a smaller base. Determine how many m3 of soil were excavated when digging the pit? - Regular quadrangular pyramid How many square meters is needed to cover the tower the shape of regular quadrangular pyramid base edge 10 meters, if the deviation lateral edges from the base plane is 68 °? Calculate coverage waste 10%.

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https://bitcointalk.org/index.php?topic=61567.0

math

1) Has anyone ever made some kind of percentile graph of the big pools (like deepbit, etc.) ? slush has this for his pool here , I'm sure there are graphs for other pools as well. 2) Is there a max. time (or better max. number of operations) until a block will be found for sure (100%). Or could it happen that the time to mine one specific, nasty block could be millions of years? There is no such max time. A block could theoretically take millions of years, the probability for that is positive though unbelievably tiny. The probability that a block will take at least N shares is roughly exp(-N/D) (where D is the difficulty).

s3://commoncrawl/crawl-data/CC-MAIN-2017-13/segments/1490218190295.65/warc/CC-MAIN-20170322212950-00522-ip-10-233-31-227.ec2.internal.warc.gz

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https://www.imgrumtag.com/hashtag/doginsta

math

Meet adorable Max! This gorgeous chunky monkey needs a foster home ASAP. Sadly he is too much for his owner to handle :( Max is 11 years old and needs a place to rest his paws for his final years <3 he has never lived with other dogs so needs to stay an only dog, he also has a high prey drive so cannot live in a home that has other pets even when kept apart at all times. Max is great with children and adores playing with his toys, going for walks and chilling in his garden. He is used to somebody being home most of the time with him so needs this to continue. If you think you can offer Max his perfect forever home please apply for a home check and somebody will be in touch as soon as possible! #huskyoftheday#huskyphotography#huskyinsta#huskygram_#allaboutdogs#allabouthuskies#huskyworld#huskyinstagram#dog#doginstagram#doginsta#starsrescue

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https://www.geeksforgeeks.org/gate-gate-cs-2018-question-5/

math

GATE | GATE CS 2018 | Question 5 The area of a square is ‘d’. What is the area of the circle which has the diagonal of the square as its diameter? (C) (1/4) πd2 One important observation to solve the question : Diagonal of Square = Diameter of Circle. Let side of square be x. From Pythogorous theorem. Diagonal = √(2*x*x) We know area of square = x * x = d Diameter = Diagonal = √(2*d) Radius = √(d/2) Area of Circle = π * √(d/2) * √(d/2) = 1/2 * π * d Attention reader! Don’t stop learning now. Practice GATE exam well before the actual exam with the subject-wise and overall quizzes available in GATE Test Series Course. Learn all GATE CS concepts with Free Live Classes on our youtube channel.

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https://www.aminer.cn/pub/5ff680ead4150a363cb575f0/on-the-behavioral-implications-of-differential-privacy

math

On the behavioral implications of differential privacy Theor. Comput. Sci., pp. 84-93, 2020. Abstract Differential privacy is commonly used in the computer science literature as a mathematical definition of privacy for the purpose of quantifying and bounding privacy loss. It induces a preference order over the set of privacy-jeopardizing mechanisms which, in turn, adhere to some properties of this order. We show that a set of f...More Full Text (Upload PDF) PPT (Upload PPT)

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https://www.physicsforums.com/threads/tension-in-a-string-kleppner-2-23.601616/

math

A piece of string of length I and mass M is fastened into a circular loop and set spinning about the center of a circle with uniform angular velocity ω. Find the tension in the string. Suggestion: Draw a force diagram for a small piece of the loop subtending a small angle Δθ The Attempt at a Solution No idea if its the right track, but it seemed a similar problem to one of the examples given. The answer is Mω^(2)l/4pi^(2), What I have in my integral so I think Ive done it wrong because If I integrate from 0 to 2pi(the whole string) it will cancel out one of the 2pi's Also I have no idea what I would even use as limits for the tension. Its from kleppners book 2.23 also btw edit* solved it, I was off with the forces causing the circular motion. You need to take the componenets of the two tensions acting inwards and set it equal to the ma I had

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https://dokumen.tips/documents/cost-benfit.html

math

Cost/Benefit AnalysisReference: System Analysis and Design (Chapter 8) By Elias M. Awad Data Analysis The system requirements are: 1. Better customer service. 2. Faster information retrieval. 3. Quicker notice preparation. 4. Better billing accuracy. 5. Lower processing and operating cost. 6. Improve staff efficiency. 7. Consistent billing procedure to eliminate error. Data Analysis Several alternative must be evaluated. The approach can introduction of computer billing system, change in operation procedure, replacement of staff, improve billing system or combination of this approach. Cost and benefit categories In developing cost estimate for a system, we need to consider the following cost elements: 1. Hardware 2. Personals 3. Facility cost 4. Operating cost 5. Supply Procedure for cost/benefit determination Cost and benefit analysis procedure that gives a picture of various cost, benefits, and rules associated with a system Determination of cost and benefits uses the following steps: 1. Identifying the cost and benefit pertaining to a given project. 2. Categorize the various costs and benefits for analysis. 3. Select a method for evaluation. 4. Interpreted the result of analysis. 5. Take action. Procedure for Cost/Benefit Determination Cost and benefit identification: Certain cost and benefits easily identify than other. Example:- Direct cost. Categories of cost or benefits that is not easily identifiable is opportunity costs and benefit. Classification of Cost and benefits The next step is to categorize cost and benefits 1. Tangible or Intangible costs and benefits: Tangibility refers to the easy with which cost or benefit can be measure. Expenditure of cash for specific item or activity is known as tangible cost. Cost that are known to exist but whose financial value cannot be accurately measured are known as intangible cost. Classification of Cost and benefits1. Tangible or Intangible costs and benefits: Benefits are also classified as tangible on intangible. Management often ignore intangibles this may lead to Classification of Cost and benefits2. Direct or Indirect Cost and Benefits: Direct cost are those with which a dollar figure can be directly associated in the project. Direct benefits also can be specifically attributable to a given project. Indirect cost are the results of operations that are not directly associated with a given system or activity. Indirect benefits are realized as a bi product of another activity or system. Classification of Cost and benefits3. Fixed or Variable: Fixed cost are constant they do not change. Variable cost incurred on regular basis and they are proportional to work volume. Fixed benefits are constant they do not change. Variable benefit realized on regular basis. Saving versus Cost Advantage Saving are realized when there is some kind of cost advantage. Cost advantage reduce or eliminates expenditure. True saving reduce or eliminates various cost being incurred. There are also saving that do not directly reduce the Select Evaluation Method The common evaluation methods are: 1. Net benefit analysis. 2. Present value analysis. 3. Net present value. 4. Payback analysis. 5. Break even analysis. 6. Cash-flow 1. Net benefit analysis Net benefit= (Total benefit)- (Total cost) Advantage: Easy to calculate, easy to interpret and easy to present. Disadvantage: It does not account for time value of money. Time value of money is express as: 2. Present value Analysis Present value analysis calculate the cost and benefits of the system in terms of today's value of the Numerical based on Present value AnalysisQ. Suppose that $3,000 is to be invested in a project, and the expected annual benefit is $1,500 for four year life of the system. Determine the expected profit or loss. 3. Net Present Value Net Present value: The net present value is express as percentage of investment. This approach is relatively easy to calculate and accounts for the time value of money. 4. Payback Analysis It tells you how long it will take to earn back the money you'll spend on the project. The shorter the payback period, sooner a profit is realized and more attractive is the 4. Payback Analysis Payback formula: Elements of the formula:A. B. C. D. E. F. G. H. Capital investment(development cost). Investment credit difference(tax incentive). Cost investment(site preparation). Company federal income tax bracket difference. State and local tax. Life of capital. Time to install the system. Benefit 4. Payback Analysis Elements of the formula:1. 2. 3. 4. 5. Project benefits(H). Depreciation (A/F) State and local tax (A X E). Benefit from Federal Income Tax (FIT): 1 2 3 = 4 Benefits after FIT: 4 (4 X D) Payback Analysis Numerical ExampleA. B. C. D. E. F. G. H. Capital investment=$200,000 Investment credit difference(100%-8%)=92%. Cost investment=$25000. Company federal income tax bracket difference (100%-46%)=54% State and local tax= 2%. Life of capital= 5 Years. Time to install the system = 1 years. Benefit and saving = $250,000. 5. Break even Analysis Break even is the point where the cost of the candidate system and that of the current one are equal. When a candidate system is developed, initial costs usually exceed those of the current system. This is the investment period. When both are equal its break point. Beyond break point the candidate system provide more benefit than the old one-return point. 6. Cash flow Analysis Cash flow analysis keep track of accumulated cost and revenues on a regular basis. The spread sheet format also provide payback and break point information. Cash flow Analysis an ExampleReven Jan ue Feb Mar Apr May June July Aug Sep Oct Nov Dec Reven 22000 22000 26000 27100 41000 48000 59050 59010 66450 64040 69700 71040 ue Expen 51175 34795 27805 27055 28445 28385 29640 29925 28030 30075 30015 30906 se Cash flow Accu mulat ed cash flow -1805 29175 12795 45 12555 19615 29410 30085 22420 33965 39685 40134 29175 41970 43775 43730 31180 11565 17845 47930 70350 10431 14400 18413 5 0 4

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http://www.kwiatkowski.io/rethinking-shots

math

Rethinking shots: generation and conversion (30 Jan 2019) The source code for this model is available on https://github.com/huffyhenry/shot-generation. Football analytics today is dominated by analysis of shots, but only at the level of conversion. Relatively little attention has been paid to how shots arise, despite it being arguably the more important question. I call this process shot generation and its analysis is the main contribution of this post, although I also present a simple conversion model for completeness and symmetry. My motivation, as always, is to try to understand the underlying dynamics of football without compromising on statistical rigour. In the early days of (public) analytics, Sander IJtsma and Ben Pugsley investigated how the in-game goal difference (dubbed “game state”) impacts shot ratios. To the best of my knowledge, the first actual model of shooting frequencies is due to Garry Gelade and it was the highlight of the 2015 OptaPro Forum. The new model that I present here is related to Garry’s and it recovers many of his results, but it also yields findings that I believe are novel. Specifically, I was able to show that the home field advantage is mediated by the quantity rather than the quality of shots, that shooting rates differ between not just game states but individual scorelines and that the longer the game goes on without a shot, the more likely the players are to shoot. In addition, the framework presented here has direct applications to performance evaluation and prediction of results, which I hope to discuss in follow-up articles. My generation model draws heavily on the classic Dixon-Coles and RobertsonRobinson papers and uses techniques of survival analysis (for a relatively gentle introduction see Chapter 1 of J.F. Lawless’ “Statistical Models and Methods for Lifetime Data”, which at the time of writing is easily obtainable in PDF form, as are the two papers). Briefly, I assume that every team is characterised by parameters $\alpha$ and $\beta$, representing its baseline ability to generate and prevent shots, respectively. Then, if team A plays team B and $w$ minutes have elapsed since either of them last shot (or the start of the half), then the propensity $\lambda_A$ of team A taking the next shot right now is given by In addition to the parameters already explained above, $\gamma$ is the home advantage parameter (if appropriate, i.e. if A is the home team) and $\theta$ is the sum of additional coefficients which I don’t enumerate in full here, but which include in particular dummy variables for each individual score from 0:0 to 2:2. Lastly, $k$ controls the dependence of the rate of shooting on the time elapsed since the last shot. If $k=1$, there is no such dependence, since $w$ disappears from the equation. As to conversion, it is possible to just use an expected goals model here, but they are data hungry and unnecessarily complex for the task at hand. Instead, I ran a simple logistic regression of the form with $\alpha_A$ this time standing for the shooting team’s intrinsic ability to convert their shots and $\beta_B$ for the defending team’s ability to prevent shots from going in, respectively. I fitted both models on the dataset of all shots from the 2017/18 Premier League. This is a considerably smaller set than what I have available, but I didn’t want to concern myself with inter-league differences in styles nor with inter-season variation of team strengths; as a friend of mine is fond of saying, it requires multilevel modelling and a lot of care, and who has the time for that? I stripped rebounds (defined as shots coming within 5 seconds of previous shot), because they are not generated independently of other shots – I’m going to deal with them at a later stage. This process left me with 9439 records. I coded and fitted my models in Stan. The scatter plots on Figure 1 below show the fitted team profiles, that is to say the $\alpha$ and $\beta$ coefficients from both models, translated into shot waiting times and expected conversions for interpretability. What stands out to me is how Manchester City were a class apart on both sides of the ball, and how terrible Arsenal’s defence was – on par with Huddersfield’s. The conversion model recovers neatly Burnley’s and Mourinho+DeGea’s ability to prevent the ball from going in. Of greater interest, however, are the estimates of the remaining, team-independent parameters. The current score has a large effect on the shooting rate, and while the different exact winning (and drawing, and losing) scores are not statistically different from each other, the sorting is so perfect that I have no doubt that the estimates would separate with a bigger sample (Figure 2); in contrast, there was no discernible effect of scores on conversion probability (not shown). The home advantage parameter $\gamma$ is positive in the generation model, but zero or even very slightly negative in the conversion model. Lastly, in the generation model, the exponent $k$ fitted tightly to about 1.16 meaning that the longer the teams go without shooting, the more likely they become to take a shot, while the corresponding parameter in the conversion model was slightly negative, although not statistically different from zero. By modeling shot generation and shot conversion with separate but parallel models, we learnt the following: - Current score has a large effect on shooting rate but very small or no effect on conversion probability - Home field advantage is realised by the quantity and not quality of shots - The longer the game goes on without a shot, the more likely the teams are to shoot, and the worse shots they take I hope that these results, if not all of them entirely novel, are going to spark renewed interest in foundational modelling of football. My friends James Yorke, Ben Torvaney, Nikos Overheul and Thom Lawrence commented on preliminary results, read an earlier version of the article and provided useful, largely ignored feedback. The data used in this analysis was collected by Opta.

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https://www.physicsforums.com/threads/regarding-transmission-and-reflection-of-em-waves.663651/

math

Hello! I´m trying to read Jacksons 'Classical Electrodynamics' and solving some problems. At the moment I´m stuck at problem 7.3. I started looking at suggested solutions (http://www-personal.umich.edu/~pran/jackson/P505/F07_hw11a.pdf) but I need some help I guess. Looking at how other people have done the boundary conditions at the first interface point (medium to air) with an electric field polarized perpendicular to the plane, they set up the condition of continuity as: E_1 + E_2 = E_3 + E_4. Where E_1 is the incident wave, E_2 the reflected, E_3 the transmitted, and E_4 the reflected wave of the second interface. However the wave E_4 is never actually present at the first interface point! Why should we include this wave in the equation? It is reflected at the second interface point and then travels toward the medium again but at a distant point. Intuitional it seems to me that the boundary condition should be: E_1 + E_2 = E_3. Where does my logic fail? Thanks in advance!

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http://www.optimization-online.org/DB_HTML/2008/06/2007.html

math

A Comparison of Software Packages for Verified Linear Programming Abstract: Linear programming is arguably one of the most basic forms of optimization. Its theory and algorithms can not only be applied to linear optimization problems but also to relaxations of nonlinear problems and branch-and-bound methods for mixed-integer and global optimization problems. Recent research shows that against intuition bad condition numbers frequently occur in linear programming. To take this into account reliability is required. Here we investigate rigorous results obtained by verification methods. We will examine different current techniques and software tools for verified linear programming and compare numerical results for existing implementations. Keywords: linear programming, interval arithmetic, rigorous error bounds, comparison, software packages Category 1: Linear, Cone and Semidefinite Programming (Linear Programming ) Category 2: Optimization Software and Modeling Systems Citation: Submitted to SIOPT. Entry Submitted: 06/11/2008 Modify/Update this entry |Visitors||Authors||More about us||Links| Search, Browse the Repository Give us feedback |Optimization Journals, Sites, Societies|

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https://www.marketwatch.com/story/how-to-use-wolfram-alpha-for-investment-research

math

LONDON (MarketWatch) -- The new search engine Wolfram Alpha won't be replacing Google anytime soon in researching investments, but it does have some nifty features. Wolfram Alpha was unveiled last week in the latest challenge to the Google empire. See related story. Testing the service this week yielded some interesting dividends. One nice feature is the ease in which returns are featured, in daily, monthly, year-to-date, annual and five-year performance, for stocks or mutual funds. Simply enter in General Electric, for example, and those stats come out. It also compares to rivals: in GE's case, United Technologies and 3M, as well as S&P 500, bonds and T-bills. Also, entering General Electric will bring up a number of key facts, like market cap, revenue, dividends per share, P/E ratio and dividend yield. The problem, however, is the Wolfram Alpha data is based on trailing 12-month totals. MarketWatch's site, for example, has GE's dividend yield at 3.11%, reflecting GE's decision to cut its dividend to 10 cents a share; Wolfram Alpha has it at 9.8%, since GE was paying 31 cents a share each quarter. The more mathematically inclined can look at return histograms and random-walk projections based on historical parameters. Probably of more use is the beta calculation to figure out just how closely a stock has tracked the market in the past, though Google Finance and Yahoo Finance also have such data. Entering "General Electric revenue in 2006" brings up annual results, and quarterly values, as well as a chart showing trailing 12-month revenue. The data does seem to be slightly off, however. For instance, Wolfram says GE revenue was $153.6 billion in 2006. That's close, but not what GE says: $151.6 billion. That number by GE was revised lower from its original report, which perhaps explains the Wolfram miss. GE results from 2008 yielded better results. The charting functions bring up some impressive results. It's probably not a huge surprise, but still interesting to observe from entering "market cap Ford / General Motors" that the ratio, 23.7 on Friday, surging off the charts. Foreign data is harder to come by, however -- it can't figure out "market cap Ford / Volkswagen." Margins also are foreign to Wolfram. But the service does feature nice options and mortgage calculators, which can easily be turned into PDF files.

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http://xztermpaperadmz.ultimatestructuredwater.info/resistance-conclusion.html

math

Measuring the resistivity of a wire student worksheet in this experiment you will be making measurements of voltage and with the physical dimensions of the wire, from which you will calculate the resistivity of the metal theory the resistance r of a component in a circuit is given by the. Resistance, req, is: 1 r eq = 1 r 1 + 1 r 2 + 1 r 3 ++ 1 r n = 1 i=1 r i n (eq 11-2: resistors in parallel) fig 11-4: series circuit schematic r 3 r 1 r 2 a i physics 215 - experiment 11 series and parallel circuits 46 10v increments, up to 60v, measure and record the voltage and. This handout will explain the functions of conclusions, offer strategies for writing effective ones, help you evaluate drafts, and suggest what to avoid. How organizations manage resistance to change print reference this published: 23rd march, 2015 include the ability to be a clear thinker who is able to get a view about organizational situation and reach at logical conclusions. Series and parallel resistive circuits physics lab viii objective in the set of experiments, the theoretical expressions used to calculate the total resistance. Antibiotics have always been considered one of the wonder discoveries of the 20th century this is true, but the real wonder is the rise of antibiotic resistance in hospitals, communities, and the environment concomitant with their use the extraordinary genetic capacities of microbes have. Physics 1021 2 experiment 6 vector nature of magnetic fields introduction in this experiment, we determine the magnetic field of the lab by observing the magnetic field produced by a current carrying wire as a function of. Physics 111 laboratory experiment #3 current, voltage and resistance in series and parallel circuits this experiment is designed to investigate the relationship between current and potential in simple series and parallel resistor circuits using ideas of conservation of energy and conservation of. Experiment 3 temperature dependence of resistance where rt is the resistance at the temperature t and ro is the resistance at the temperature to make conclusion about your findings reminder: check you math, check the units. Category: essays research papers title: simple voltage and current measurement my account simple voltage and current measurement length: 886 words resistance is the capacity of materials to impede the flow of current or electric charge 8-10 conclusion. Home knowledge center read ift publications science papers expert reports antimicrobial resistance: implications for the food system conclusions conclusions. Voltagecurrentresistance lab a complete lab write‐up includes a title, a purpose, a data section, a conclusion and a discussion of results the data. Experiment 4: ohm's law and rc circuits objectives 1 2 to investigate ohm's law and to determine the resistance of a resistor 3 to measure the time constants associated with a discharging and charging rc (resistive-capacitive, or resistor-capacitor) circuit. Ee 442 laboratory experiment 2 introduction to the measurement of voltage, current, resistance and voltmeter loading ee 442 lab experiment no 2. Voltage, current, resistance, and ohm's law resistance is a material's tendency to resist the flow of charge (current) so, when we talk about these values, we're really describing the movement of charge, and thus, the behavior of electrons. Ap physics resistance and resistivity lab purpose draw conclusions about resistance based on your data, tables, and graphs: (a) how does resistance appear to depend on length (b) how does resistance depend on diameter. Lab # 1 - ohm's law introduction conclusion ohm's law states that v=ri where v is the difference of potential at the poles of the element (measured in volts), r is the resistance of the element being tested (a resistor in this case. The purpose of this experiment is to investigate the relationship between voltage, resistance, and current as described by ohm's law the dc analysis of a series resistance circuit should support ohm's law and the formula for total resistance in a series circuit. A thermistor is a type of resistor whose resistance is dependent on temperature, more so than in standard resistorsthe word is a portmanteau of thermal and resistorthermistors are widely used as inrush current limiters, temperature sensors (negative temperature coefficient or ntc type typically), self-resetting overcurrent protectors, and. Ohm's law states that the current through a conductor between two points is directly proportional to the voltage across the two points, and inversely proportional to the resistance between them the mathematical equation that describes this relationship is. Change is needed within an organization for it to survive competitively as a business, or for it to grow as an expansive department agency ignoring the people side of change until major resistance stalls a project or causes the project to conclusion change management is used for one. Often referred to as the ohm's law equation, this equation is a powerful predictor of the relationship between potential difference, current and resistance ohm's law as a predictor of current the ohm's law equation can be rearranged and expressed as. Resistance to change nature of resistance the greatest setback in managing change is to underestimate people's resistance to change (galpin, 1995, p 4) change can be identified on the levels of ignorance conclusion structuring for change. Graphs: conclusion: the purpose of this lab was unapparant to us at first we were hooking up a battery, resistor and two meters into one circuit, and measuring what happened when we changed the resistors. For each trial, calculate the expected current based on the resistance and measured voltage using ohm's law record your results in your data table, and be sure to show a sample calculation 2 conclusions: 1 when the resistance in the circuit went up. Conclusion short term threats of antibiotic resistance would be that when they use strong antibiotics to make it so the bacterias don't resist, it sometimes kills the good bacteria. Lab title: air resistance and coffee filters primary authors: megan contributing authors: anna and paul abstract: the goal of this lab is to determine how mass and terminal velocity for a cross-sectional area are linked dropping coffee filters and letting them fall to the ground will provide enough data for the link between mass and terminal. Resistance measurements resistance measurementsobjectives after completing this lab compare the resistance measurements of table 2-4 to the ex- what conclusion can you make about the power rating of a. Experiment 3 resistors in series and in parallel print this page to start your lab report (1 copy) print 2 copies of this file (data page) object: the equivalent resistance of which is equal to the voltage of the power supply, v, divided by the current, i. At the end of this investigation i will come to one of five possible conclusions which are: -the resistance increases as the length of wire increases, or -the resistance decreases as the length of wire increases, or. Resistance lab report conclusion in conclusion we studied the resistance oi resistors across a circuit board using ohm`s law, and then using the characteristics oi a light bulb we. Equivalent resistance of this series-parallel circuit, one first collapses the parallel branch into a single equivalent resistance, which is given by eq 337 this equivalent resistance is in series with ri and.

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https://nrich.maths.org/public/topic.php?code=5039&cl=3&cldcmpid=535

math

The opposite vertices of a square have coordinates (a,b) and (c,d). What are the coordinates of the other vertices? A and B are two interlocking cogwheels having p teeth and q teeth respectively. One tooth on B is painted red. Find the values of p and q for which the red tooth on B contacts every gap on the. . . . Try entering different sets of numbers in the number pyramids. How does the total at the top change? Given the nets of 4 cubes with the faces coloured in 4 colours, build a tower so that on each vertical wall no colour is repeated, that is all 4 colours appear. Some treasure has been hidden in a three-dimensional grid! Can you work out a strategy to find it as efficiently as possible? Do you know how to find the area of a triangle? You can count the squares. What happens if we turn the triangle on end? Press the button and see. Try counting the number of units in the triangle now. . . . Can you put the 25 coloured tiles into the 5 x 5 square so that no column, no row and no diagonal line have tiles of the same colour in them? To avoid losing think of another very well known game where the patterns of play are similar. Can you discover whether this is a fair game? Euler discussed whether or not it was possible to stroll around Koenigsberg crossing each of its seven bridges exactly once. Experiment with different numbers of islands and bridges. Place a red counter in the top left corner of a 4x4 array, which is covered by 14 other smaller counters, leaving a gap in the bottom right hand corner (HOME). What is the smallest number of moves. . . . Triangular numbers can be represented by a triangular array of squares. What do you notice about the sum of identical triangle numbers? We can show that (x + 1)² = x² + 2x + 1 by considering the area of an (x + 1) by (x + 1) square. Show in a similar way that (x + 2)² = x² + 4x + 4 Can you explain the strategy for winning this game with any target? There are 27 small cubes in a 3 x 3 x 3 cube, 54 faces being visible at any one time. Is it possible to reorganise these cubes so that by dipping the large cube into a pot of paint three times you. . . . This game challenges you to locate hidden triangles in The White Box by firing rays and observing where the rays exit the Box. This article gives you a few ideas for understanding the Got It! game and how you might find a winning strategy. A game for two people, or play online. Given a target number, say 23, and a range of numbers to choose from, say 1-4, players take it in turns to add to the running total to hit their target. Meg and Mo still need to hang their marbles so that they balance, but this time the constraints are different. Use the interactivity to experiment and find out what they need to do. The aim of the game is to slide the green square from the top right hand corner to the bottom left hand corner in the least number of moves. A tilted square is a square with no horizontal sides. Can you devise a general instruction for the construction of a square when you are given just one of its sides? Draw some isosceles triangles with an area of $9$cm$^2$ and a vertex at (20,20). If all the vertices must have whole number coordinates, how many is it possible to draw? This is an interactive net of a Rubik's cube. Twists of the 3D cube become mixes of the squares on the 2D net. Have a play and see how many scrambles you can undo! Mo has left, but Meg is still experimenting. Use the interactivity to help you find out how she can alter her pouch of marbles and still keep the two pouches balanced. This problem is about investigating whether it is possible to start at one vertex of a platonic solid and visit every other vertex once only returning to the vertex you started at. P is a point on the circumference of a circle radius r which rolls, without slipping, inside a circle of radius 2r. What is the locus of P? Meg and Mo need to hang their marbles so that they balance. Use the interactivity to experiment and find out what they need to do. When number pyramids have a sequence on the bottom layer, some interesting patterns emerge... Find all the ways of placing the numbers 1 to 9 on a W shape, with 3 numbers on each leg, so that each set of 3 numbers has the same total. The number of plants in Mr McGregor's magic potting shed increases overnight. He'd like to put the same number of plants in each of his gardens, planting one garden each day. How can he do it? How good are you at estimating angles? A right-angled isosceles triangle is rotated about the centre point of a square. What can you say about the area of the part of the square covered by the triangle as it rotates? Arrange the four number cards on the grid, according to the rules, to make a diagonal, vertical or horizontal line. Prove Pythagoras' Theorem using enlargements and scale factors. Can you spot the similarities between this game and other games you know? The aim is to choose 3 numbers that total 15. Can you find a relationship between the number of dots on the circle and the number of steps that will ensure that all points are hit? A tool for generating random integers. A red square and a blue square overlap so that the corner of the red square rests on the centre of the blue square. Show that, whatever the orientation of the red square, it covers a quarter of the. . . . Match the cards of the same value. Here is a chance to play a fractions version of the classic Countdown Game. A circle rolls around the outside edge of a square so that its circumference always touches the edge of the square. Can you describe the locus of the centre of the circle? Here is a chance to play a version of the classic Countdown Game. Use an Excel to investigate division. Explore the relationships between the process elements using an interactive spreadsheet. It's easy to work out the areas of most squares that we meet, but what if they were tilted? An animation that helps you understand the game of Nim. This set of resources for teachers offers interactive environments to support work on loci at Key Stage 4. Two engines, at opposite ends of a single track railway line, set off towards one another just as a fly, sitting on the front of one of the engines, sets off flying along the railway line... Players take it in turns to choose a dot on the grid. The winner is the first to have four dots that can be joined to form a square. It is possible to identify a particular card out of a pack of 15 with the use of some mathematical reasoning. What is this reasoning and can it be applied to other numbers of cards? Can you beat the computer in the challenging strategy game?

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https://edge.sagepub.com/schutt9e/student-resources-0/chapter-14/video-interview-questions

math

Video Interview Questions Listen to the researcher interview for Chapter 14 here. 1. How is secondary data analysis being used in the motherhood and fatherhood projects? 2. Do you agree that secondary data is equally as valid as primary data? Why or why not? What are the arguments that were mentioned in the video that support the equal validity of secondary data analysis?

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https://www.gulfassignmenthelp.com/assessment/engg-0010-control-and-instrumentation-assignment-help-and-2558641.html

math

ENGG 0010 Control and Instrumentation - Middle East College Learning Outcome 1: Propose appropriate signal conditioning systems and evaluate the limitations of measurement systems and appraise the use of smart measurement systems and data acquisition parameters. Learning Outcome 2: Employ computer tools in system modelling and design, e.g MATLAB, Simulink This will enable each student evaluate, analyze and design control and instrumentation employing computer tools or online application e.g. Octave. This assessment will develop student's analytical and critical thinking and problem solving skills. To limit the operating bandwidth of a transmission cable used in the instrumentation systems, a band pass filter with high roll-off rate is needed. Using the filter configuration given in figure 1, design a 2nd order Chebyshev (3dB) band-pass filter with a 3-dB frequencies of ωL = 450 rad/s and ωH = 900K rad/s . Also draw the final circuit diagram with component values. Use C=10nF and Sallen-Key correction factors same for LPF and HPF. Different filter type and frequency values for different sets. Given a car transmission system mechanical network in figure 2a with G(s) = 20/s2 +12s+30 using Octave/Matlab software, perform the following. a. Write a script and obtain the transient time and steady state responses values from the step response and impulse response graphs b. To improve the performance of the system, cascade a PID as shown in figure 2b with the following parameter Kp=11, Ki=33, Kd=0.95. Write a script to generate the transient time response graph and obtain the transient time values from the step response graph of this compensated system. c. Generate the step responses of the original network and the enhanced network on a single graph and compare the responses. Strain Gauge is a passive transducer that converts a mechanical elongation or displacement produced due to a force into its corresponding change in resistance R. The strain Gauge is connect to a Wheatstone Bridge that serves as the signal processor, and the Voltmeter that serves as the display as shown in figure 3. The supply voltage Vs=14V. Do the following. a. Write an Octave/Matlab script that will generate the reading of the voltmeter as the strain gauge value is varied from (Z-1) to (Z+1) with increment of 0.1 Ω, Z1 = Z2 = Z4 = Z = 1000Ω and Z3 = 1MΩ. b. Using octave/Matlab commands, generate a graph having the x-axis as the different values of the strain gauge resistance, and y-axis as the output voltage of the voltmeter corresponding to this resistance changes. c. Comment on the input-output relationship of the graph a. Filter circuits are also necessary on the transmission end of the cable, to prevent the AC signals from being shunted by the DC power supply's capacitors, and to prevent the DC voltage from damaging the sensitive circuitry generating the AC voltage pulses as shown in figure 4a. Draw some filter circuits on each end of this two-wire cable as shown in figure 4b that perform these tasks, of separating the two sources from each other, and also separating the two signals (DC and AC) from each other at the receiving end so they may be directed to different loads: b. A Proportional plus Derivative (PD) system is given in figure 4c with G(s) = 28/s(s+1.3) Calculate the derivative time constant T so that the system will have a damping ratio of ζ=0.5. Also, calculate the settling time. a. Signal conditioning circuits are used to process the output signal from a sensor of a measurement system to be suitable for the next stage of operation. Discuss any four of these processes. b. To eliminate short term fluctuation of signals and provide smoother form of signal, low pass filters are use. Using a passive low pass RC filer having R= 50Ω, and C=4mF, draw the frequency response graph using a range of frequencies from ωL = 0.01rad/s to ωH = 1000 rad/s.

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http://mail-index.netbsd.org/current-users/2003/08/28/0015.html

math

Subject: Re: BSD Authentication To: None <current-users@NetBSD.org> From: John Nemeth <email@example.com> Date: 08/28/2003 01:30:49 On Jan 15, 2:57pm, Chuck Yerkes wrote: } Quoting Peter Seebach (firstname.lastname@example.org): } > In message <20030825225112.1797D82@coconut.itojun.org>, email@example.com write } > >>1. Does anyone have BSD Auth working on NetBSD? } > >>2. Does anyone plan to? } > >> } > >>I'm interested in this, just because it's one of my favorite features ever. } > > every time i raise this question, i get attacked by pro-PAM people. } If the "pro-PAM" people don't have code, they can shove off. The code can be lifted from FreeBSD. } The missing bit is name service stuff ("extending" passwd|services|whatever } to use a name service to get the info you want; the Hesiod support I believe this is coming. It was one of the major reasons for going to an all dynamic system. Hey Luke, how's the work on this }-- End of excerpt from Chuck Yerkes

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http://www.mathnet.ru/php/archive.phtml?wshow=paper&jrnid=zvmmf&paperid=636&option_lang=eng

math

This article is cited in 16 scientific papers (total in 16 papers) On the analytical and numerical stability of critical Lagrange multipliers A. F. Izmailov Faculty of Computational Mathematics and Cybernetics, Moscow State University, Leninskie gory, Moscow, 119992, Russia If the constraint qualification does not hold at a stationary point of a constrained optimization problem, then the corresponding Lagrange multiplier may not be unique. Moreover, in the set of multipliers, one can select special (so-called critical) multipliers possessing certain specific properties that are lacking in the other multipliers. In particular, it is the critical multipliers that are usually stable with respect to small perturbations, and it is the critical multipliers that attract trajectories of Newton's method as applied to the Lagrange system of equations. The present paper is devoted to an analysis of these issues. Lagrange multipliers, constrained optimization problems, stability of critical Lagrange multipliers. PDF file (1965 kB) Computational Mathematics and Mathematical Physics, 2005, 45:6, 930–946 A. F. Izmailov, “On the analytical and numerical stability of critical Lagrange multipliers”, Zh. Vychisl. Mat. Mat. Fiz., 45:6 (2005), 966–982; Comput. Math. Math. Phys., 45:6 (2005), 930–946 Citation in format AMSBIB \paper On the analytical and numerical stability of critical Lagrange multipliers \jour Zh. Vychisl. Mat. Mat. Fiz. \jour Comput. Math. Math. Phys. Citing articles on Google Scholar: Related articles on Google Scholar: This publication is cited in the following articles: M. M. Golishnikov, A. F. Izmailov, “Newton-type methods for constrained optimization with nonregular constraints”, Comput. Math. Math. Phys., 46:8 (2006), 1299–1319 A. F. Izmailov, “Sensitivity of solutions to systems of optimality conditions under the violation of constraint qualifications”, Comput. Math. Math. Phys., 47:4 (2007), 533–554 Izmailov A.F., Solodov M.V., “Examples of dual behaviour of Newton-type methods on optimization problems with degenerate constraints”, Computational Optimization and Applications, 42:2 (2009), 231–264 Izmailov A.F., Solodov M.V., “On attraction of Newton-type iterates to multipliers violating second-order sufficiency conditions”, Mathematical Programming, 117:1–2 (2009), 271–304 Izmailov A.F., “Solution sensitivity for Karush-Kuhn-Tucker systems with non-unique Lagrange multipliers”, Optimization, 59:5 (2010), 747–775 A. F. Izmailov, E. I. Uskov, “On the application of Newton-type methods to Fritz John optimality conditions”, Comput. Math. Math. Phys., 51:7 (2011), 1114–1127 A. F. Izmailov, E. I. Uskov, “On the influence of the critical Lagrange multipliers on the convergence rate of the multiplier method”, Comput. Math. Math. Phys., 52:11 (2012), 1504–1519 Izmailov A.F., Solodov M.V., “Stabilized Sqp Revisited”, Math. Program., 133:1-2 (2012), 93–120 E. I. Uskov, “On the attraction of Newton’s method to critical Lagrange multipliers”, Comput. Math. Math. Phys., 53:8 (2013), 1099–1112 Izmailov A.F., Kurennoy A.S., Solodov M.V., “Local Convergence of the Method of Multipliers For Variational and Optimization Problems Under the Noncriticality Assumption”, Comput. Optim. Appl., 60:1 (2015), 111–140 Izmailov A.F., Solodov M.V., “Critical Lagrange Multipliers: What We Currently Know About Them, How They Spoil Our Lives, and What We Can Do About It”, Top, 23:1 (2015), 1–26 Izmailov A.F. Uskov E.I., “Attraction of Newton Method To Critical Lagrange Multipliers: Fully Quadratic Case”, Math. Program., 152:1-2 (2015), 33–73 Izmailov A.F., Uskov E.I., “Subspace-Stabilized Sequential Quadratic Programming”, Comput. Optim. Appl., 67:1 (2017), 129–154 Izmailov A.F. Kurennoy A.S. Solodov M.V., “Critical Solutions of Nonlinear Equations: Local Attraction For Newton-Type Methods”, Math. Program., 167:2 (2018), 355–379 Izmailov A.F. Kurennoy A.S. Solodov M.V., “Critical Solutions of Nonlinear Equations: Stability Issues”, Math. Program., 168:1-2, SI (2018), 475–507 Mordukhovich B.S., Sarabi M.E., “Critical Multipliers in Variational Systems Via Second-Order Generalized Differentiation”, Math. Program., 169:2 (2018), 605–648 |Number of views:|

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http://inconformista.info/introduction-markov-chain-50.html

math

Contents. 1. Introduction. 7. Motivation and some examples of Markov chains. 7. About these lecture notes. Transition diagrams. Overview of exercises. 12 Markov Chains: Introduction. Example Take your favorite book. Start, at step 0, by choosing a random letter. Pick one of the five random procedures. In addition, on top of the state space, a Markov chain tells you the probabilitiy of hopping, or "transitioning," from one state to any other statee.g., the chance. |Published:||18 July 2014| |PDF File Size:||18.82 Mb| |ePub File Size:||16.86 Mb| The Clever Machine Instead we can predict by first raising the transition operator to the -th introduction markov chain, where is the iteration at which we want to predict, then multiplying the result by the distribution over the initial state. For instance, to predict the probability of the weather in 2 weeks, knowing that it is rainy today i. These are the same results we get by running the Markov chain sequentially through each number of transitions. Therefore we can calculate an approximation to the stationary distribution from by setting to a large number. It turns out that it is also possible to analytically derive the stationary distribution from hint: Continuous state-space Markov chains A Markov chain can also have a continuous state space that exists in the real numbers. introduction markov chain Markov Chains explained visually Introduction markov chain this case the transition operator cannot be instantiated introduction markov chain as a matrix, but is instead some continuous function on the real numbers. Note that the continuous state-space Markov chain also has a burn in period and a stationary distribution. However, the stationary distribution will also be over a continuous set of variables. Sampling from a continuous distribution using continuous state-space Markov chains We can use the stationary distribution of a continuous state-space Markov chain in order to sample from a continuous probability distribution: One way to simulate this weather would be to just say "Half of the days are rainy. Therefore, every day in our simulation will have a fifty percent chance of rain. Did you notice how the above sequence doesn't look introduction markov chain like the original? The second sequence seems to jump around, while the first one the real data seems to have a "stickyness". A Brief Introduction to Markov Chains | The Clever Machine In the real data, introduction markov chain it's sunny S one day, then the next day is also much more likely to be sunny. We can minic this "stickyness" with a two-state Markov chain. When the Markov chain is in state "R", it has a 0. For example, while a Markov chain may be able to mimic the writing style introduction markov chain an author based on word frequencies, it would be unable to produce text that introduction markov chain deep meaning or thematic significance since these are developed over much longer sequences of text. They therefore lack the ability to produce context-dependent content since they cannot take into account the full chain of prior states. This makes complete sense, since each row represents its own probability distribution. Introduction to Markov Chains We now know how to obtain the chance of transitioning from one state to another, but how about finding the chance of that transition occurring over multiple steps? As it turns out, this is actually very simple introduction markov chain find out. Conclusion Now that you know the basics of Markov chains, you should now be able to easily implement them in a language of your choice. If coding is not your forte, there introduction markov chain also many more advanced properties of Markov chains and Markov processes to dive into. Simple Markov chains are introduction markov chain building blocks of other, more sophisticated, modeling techniques, so with this knowledge, you can now move onto various techniques within topics such as belief modeling and sampling.

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http://mckennaberghomes.com/essays/Finance-Net-Present-Value-And-Rate-1913135.html

math

Time Value of Money 1. If you invest $1000 today at an interest rate of 10% per year, how much will you have 20 years from now, assuming no withdrawals in interim? 2. a. If you invest $100 every year from the next 20 years starting one year from today and you earn interest of 10% per year, how much will you have at the end of the 20 years? b. How much must you invest each year if you want to have $50000 at the end of the 20 years? 3. What is the present value of the following cash flows at an interest rate of 10% per year? (Hints: don’t need to use the financial keys of your calculator, just dome common sense) a. $100 received five years from now b. $100 received 60 years from now c. $100 received each year beginning one year from now and ending 10 years from now d. $100 each year beginning one year from now and continuing forever 4. You want to establish a “wasting” fund, which will provide your with $1000 per year for four years, at which time the fund will be exhausted. How much must you put in the fund now if you can earn 10% interest per year? 5. You take a one-year installment loan of $1000 at an interest rate of 12% per year (1% per month) to be repaid in 12 equal monthly payments. a. What is the monthly payment? b. What is the total amount of interest paid over the 12-month term of the loan? 6. You are taking out a $100000 mortgage loan to be repaid over 25 years in 300 monthly payments. a. If the interest rate is 16% per year, what is the amount of the monthly payment? b. If you can only afford to pay $1000 per month, how large a loan could you take? c. If you can afford to pay $1500 per month and need to borrow $100000, how many months would it take to pay off the mortgage? d. If you can pay $1500 per month, need to borrow $100000, and want a 25-year mortgage, what is the highest interest rate you can pay? 7. In 1626 Peter Minuit purchased Manhattan Island from the Native Americans from about $24 worth of trinkets. If the tribe had taken cash instead and invested it to earn 6% per year compound annually, how much would the Indians have had in 360 years later? 8. You win a $1 million lottery, which pays you $50000 per year for 20 years. How much is your prize really worth, assuming an interest rate of 8% a year? 9. Your great aunt left you $20000 when she died. You can invest the money to earn 12% per year. If you spend $3540 per year out of this inheritance, how long will the money last? 10. You borrow $100000 from a bank for 30 years at an APR of 10.5%. What is the monthly payment? If you must pay two points up front, meaning that you only get $98000 from the bank, what is the true APR on the mortgage loan? 11. Suppose that the mortgage loan described in question 10 is a one-year adjustable rate mortgage, which means that the 10.5% interest applies fro only the first year. If the interest rate goes up to 12% in the second year of the load, what will your new monthly payment be? 12. You just received a gift of $500 from your grandmother and you are thinking about saving this money for graduation, which his four years away. You have your choice between Bank A, which his paying 7% for one-year deposits, and Bank B, which his paying 6% on one-year deposits. Each bank compounds interest annually. a. What is the future value of your savings one year from today if you save your money in Bank A? Bank B? Which is the better decision? b. What saving s decision will most individual make? What likely reaction will Bank B have? 13. Sue Consultant has just been given a bonus of $2500 by her employer. She is thinking about using the money to start saving for the future. She can invest to earn an annual rate of interest of 10%. a. According to the Rule of 72, approximately how long will it take for Sue to increase her wealth to $5000? b. Exactly how long does it take? 14. Larry’s bank account has a “floating” interest rate on... Please join StudyMode to read the full document

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https://www.bartleby.com/solution-answer/chapter-63-problem-43es-discrete-mathematics-with-applications-5th-edition/9781337694193/in-41-43-simlify-the-given-expression-cite-a-property-from-theorem-622-for-every-step-a/dda53866-fdff-4197-a194-83c93ff2f0d6

math

In 41-43 simlify the given expression. Cite a property from Theorem 6.2.2 for every step. Cite a property from Theorem for every step of the proof. Solution let be any sets. Then Bartleby provides explanations to thousands of textbook problems written by our experts, many with advanced degrees!Get Started

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CC-MAIN-2019-51

https://readtiger.com/wkp/en/Al-Sijzi

math

Abu Sa'id al-Sijzi |Mathematics, Astronomy, Astrology| Abu Sa'id Ahmed ibn Mohammed ibn Abd al-Jalil al-Sijzi (c. 945 - c. 1020, also known as al-Sinjari and al-Sijazi; Persian: ابوسعید سجزی; Al-Sijzi is short for "Al-Sijistani") was an Iranian Muslim astronomer, mathematician, and astrologer. He is notable for his correspondence with al-Biruni and for proposing that the Earth rotates around its axis in the 10th century. Al-Sijzi studied intersections of conic sections and circles. He replaced the old kinematical trisection of an angle by a purely geometric solution (intersection of a circle and an equilateral hyperbola.) I have seen the astrolabe called Zuraqi invented by Abu Sa'id Sijzi. I liked it very much and praised him a great deal, as it is based on the idea entertained by some to the effect that the motion we see is due to the Earth's movement and not to that of the sky. By my life, it is a problem difficult of solution and refutation. [...] For it is the same whether you take it that the Earth is in motion or the sky. For, in both cases, it does not affect the Astronomical Science. It is just for the physicist to see if it is possible to refute it. The fact that some people did believe that the earth is moving on its own axis is further confirmed by a reference from the 13th century which states: "According to the geometers [or engineers] (muhandisīn), the earth is in constant circular motion, and what appears to be the motion of the heavens is actually due to the motion of the earth and not the stars." |This article about an Iranian scientist is a stub. You can help Wikipedia by expanding it.| |This article about an Asian mathematician is a stub. You can help Wikipedia by expanding it.|

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https://scholar.archive.org/search?q=The+Inclusion+Structure+of+Boolean+Weak+Bases.

math

A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2017; you can also visit the original URL. The file type is We consider a set-theoretic version of mereology based on the inclusion relation ⊆ and analyze how well it might serve as a foundation of mathematics. ... After establishing the non-definability of ∈ from ⊆, we identify the natural axioms for ⊆-based mereology, which constitute a finitely axiomatizable, complete, decidable theory. ... The structure of hereditarily finite sets HF under inclusion is an elementary substructure of the entire set-theoretic universe V under inclusion: HF, ⊆ ≺ V, ⊆ . Proof. ...doi:10.12775/llp.2016.007 fatcat:xrj2bzsp7nf2ho33fwyi2thbx4 We consider a set-theoretic version of mereology based on the inclusion relation ⊆ and analyze how well it might serve as a foundation of mathematics. ... After establishing the non-definability of ∈ from ⊆, we identify the natural axioms for ⊆-based mereology, which constitute a finitely axiomatizable, complete, decidable theory. ... The structure of hereditarily finite sets HF under inclusion is an elementary substructure of the entire set-theoretic universe V under inclusion. HF, ⊆ ≺ V, ⊆ Proof. ...arXiv:1601.06593v2 fatcat:z7twbd7w6fhunk7z77xzdqxpfu of null hypotheses of statistical independence as a potential source of binary data structure, and second at constructing a discrete structure (Boolean) model of those statistical interactions that remain ... on Boolean patterns that occur in the data) that can be used to simplify (by approximation) the lattice of empirical patterns. ... Cutoffs based on the level of exceptions which maximizes the Pearson Product-moment correlation based on four cells (a, b, c, d) for strong inclusions, as in Table 1 , are repeated for weak inclusion, ...doi:10.1016/0378-8733(95)00273-1 fatcat:cq4waqdahngz3b2cku2gqubf3a The inclusion relation in the Boolean algebra χ 0 is that of χ, restricted to χ 0 . ... In this paper, we introduce two pairs of rough operations on Boolean algebras. First we define a pair of rough approximations based on a partition of the unity of a Boolean algebra. ... In Section 4, we first define a pair of rough approximations based on a partition of the unity of a Boolean algebra, then propose a pair of generalized rough approximations after defining a basic assignment ...doi:10.1016/j.ins.2004.06.006 fatcat:mwnoxkzsu5fqjhry3xeswaymaa Communications in Computer and Information Science The interest of the decision makers in the selection process of suppliers is constantly growing as a reliable supplier reduces costs and improves the quality of products/services. ... Setting logical conditions between attributes was carried out by using the Boolean Interpolative Algebra. ... The principle of structural functionality indicates that the structure of any element of IBA may be directly calculated based on the structure of its components. ...doi:10.1007/978-3-319-08855-6_1 fatcat:q6qxvivr4jaetnxlxha6kp4mnq It is shown that the Joyal quasi-category model structure for simplicial sets extends to a model structure on simplicial presheaves, for which the weak equivalences are local (or stalkwise) Joyal equivalences ... The article of Jardine gives a proof of the existence of the Jardine model structure based on the technique of Boolean localization. ... Introduction The purpose of this paper is develop an analog of the Jardine model structure on simplicial presheaves in which, rather than having the weak equivalences be 'local Kan equivalences', the weak ...arXiv:1507.08723v2 fatcat:d5koc75mdjfuniqtojfwnglmcy Boolean models are applied to deriving operator versions of the classical Farkas Lemma in the theory of simultaneous linear inequalities. ... That is what we have learned from the Boolean models elaborated in the 1960s by Scott, Solovay, and Vopěnka. ... The chase of truth not only leads us close to the truth we pursue but also enables us to nearly catch up with many other instances of truth which we were not aware nor even foresaw at the start of the ...arXiv:0907.0060v4 fatcat:qv4xp446pbdj5b4zbv3fpxjheu The latter do however have limited expressivity, and the corresponding lattice of strong partial clones is of uncountably innite cardinality even for the Boolean domain. ... Sets of relations closed under p.p. denitions are known as co-clones and sets of relations closed under q.f.p.p. denitions as weak partial co-clones. ... Acknowledgements The authors are grateful toward Peter Jonsson, Karsten Schölzel and Bruno Zanuttini, for helpful comments and suggestions. ...doi:10.1093/logcom/exw005 fatcat:vdf5onpuz5a2jplxgi7zaq6say The author demonstrates that the set of equivalence classes (rough sets) of such a relation is par- tially ordered with respect to the relation of rough (approximate) inclusion. ... Then they study the structure of prime filters of a P-algebra and give a canonical form of any P-algebra homomorphism. ... The special case of completeness for the Boolean p-calculus is an improvement over that presented in but weaker than the theorem of . ... the Boolean modal p-logics. ... Acknowledgements I wish to thank Robert Goldblatt for spoting an inaccuracy in the way my completeness theorem was phrased in an earlier version. ...doi:10.1016/s0304-3975(97)00233-8 fatcat:bkuwgqcg2fg6lmhw55wds2a5vm Boolean set operations are computed progressively by reading in input a stream of incremental refinements of the operands. ... Each refinement of the input is mapped immediately to a refinement of the output so that the result is also represented as a stream of progressive refinements. ... generated BSP tree and on a lattice-based Split data structure of the cell decomposition. ...doi:10.2312/sm.20041391 fatcat:gmldqku35vdclpdkufbzxwperu In this paper, we provide a topological representation for double Boolean algebras based on the so-called DB-topological contexts. ... A double Boolean algebra is then represented as the algebra of clopen protoconcepts of some DB-topological context. Mathematics Subject Classification (2010): 18B35, 54B30, 68T30. ... Each filter of the Boolean algebra D ⊓ is a base of some filter of D; in particular, F ∩ D ⊓ is a base of F . ...doi:10.24193/subbmath.2019.1.02 fatcat:obbh5yufova53bcpsa3hmipgmm The proof of the last result is based on the author’s theorem [ibid. 94 (1977), no. 2, 121-128; MR 55 #10269] of the finite axiomatizability of any nuclear X,-categorical structure. ... The proof uses the fact that the weak second order theory of linear order is decidable and also the fact that any countable Boolean algebra is isomorphic to a Boolean algebra generated by all left closed ... The attractors of Boolean networks and their basins have been shown to be highly relevant for model validation and predictive modelling, e.g., in systems biology. ... In the realm of asynchronous, non-deterministic modeling not only is the repertoire of software even more limited, but also the formal notions for basins of attraction are often lacking. ... The work was partially funded by the German Federal Ministry of Education and Research (BMBF), grant no. 0316195. ...arXiv:1807.10103v1 fatcat:aws7v5enczeprcrsy7szv6z5xy We focus on random microstructures consisting of a continuous matrix phase with a high number of embedded inclusions. ... The basic idea of the underlying procedure is to find a simplified SSRVE, whose selected statistical measures under consideration are as close as possible to the ones of the original microstructure. ... Acknowledgement The financial support of the "Deutsche Forschungsgemeinschaft" (DFG), project no. SCHR 570-8/1, is gratefully acknowledged. ...doi:10.1007/978-90-481-9195-6_2 fatcat:selnjyi6sjh3fodzpfw42kvo5q « Previous Showing results 1 — 15 out of 20,447 results

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https://www.coursera.org/learn/introductiontoprobability/reviews?authMode=login&page=13

math

Superb course. I am very impressed with the way the faculty explained real world examples through the probability concepts. I wish we can have more courses from him on statistics and machine learning. I really enjoyed this course. The explanations are clear and, as suggested by the title, the lecturer uses intuition and daily-life examples rather than abstract and formal definitions and notations. By Fei Y• I found so much in probability within this course! By SARANYA G N• The course was extremely refreshing and engaging. By Simone S• Although very simple it delivers what it promises By Saminathan G• Excellent course. Well designed. Very practical. By Henrique M R P• Good course and the teaching is at a good pace. By Sergey B• Karl is a great techer, thanks for the course! Thank you for the cool module on probability. I enjoy this course, and actually I had fun. By Rocio R• Very easy to follow! And very nice exercises. By Antonio L• Good teacher and quite enjoyable activities By Jacqueline T d S• I really enjoyed and recommend this course. By Youcheng L• awesome course materials and presentation! By Madhu O P S• I am very much thankful to the teacher. By hari G• Can I have more advanced course of this By Milko V• One of the best course in Probability! By HEDFI H• This how probability should be taught. By Mohammad A• I appreciate your effort. By Nandini R G• Concepts were precisely explained. interesting and easy to understand By Edward M• Very intuitive and easy to follow. By Roberto M• Fun course, excellent professor ! By Sharmila A K• Really enjoyed doing the course. By Naimisha J• Now, I no more hate probability. By Jack S• I value the real world approach. By Ruben W• Very good and fun to follow MOOC

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http://www.education.com/study-help/article/pythagorean-theorem/?page=2

math

The Pythagorean Theorem Study Guide (page 2) The Pythagorean Theorem In this lesson, we examine a very powerful relationship between the three lengths of a right triangle. With this relationship, we will find the exact length of any side of a right triangle, provided we know the lengths of the other two sides. We also study right triangles where all three sides have whole number lengths. Proving the Pythagorean Theorem The Pythagorean theorem is this relationship between the three sides of a right triangle. Actually, it relates the squares of the lengths of the sides. The square of any number (the number times itself) is also the area of the square with that length as its side. For example, the square in Figure 3.1 with sides of length a will have area a · a = a2. The longest side of a right triangle, the side opposite the right angle, is called the hypotenuse, and the other two sides are called legs. Suppose a right triangle has legs of length a and b, and a hypotenuse of length c, as illustrated in Figure 3.2. The Pythagorean theorem states that a2 + b2 = c2, This means that the area of the squares on the two smaller sides add up to the area of the biggest square. This is illustrated in Figures 3.3 and 3.4. This is a surprising result. Why should these areas add up like this? Why couldn't the areas of the two smaller squares add up to a bit more or less than the big square? We can convince ourselves that this is true by adding four copies of the original triangle to each side of the equation. The four triangles can make two rectangles, as shown in Figure 3.5. They could also make a big square with a hole in the middle, as in Figure 3.6. If we add the a2 and b2 squares to Figure 3.4, and the c2 square to Figure 3.5, they fit exactly. The result in either case is a big square with each side of length a + b, as shown in Figure 3.7. The two big squares have the same area. If we take away the four triangles from each side, we can see that the two smaller squares have the exact same area as the big square, as shown in Figure 3.8. Thus, a2 + b2 = c2 This proof of the Pythagorean theorem has been adapted from a proof developed by the Chinese about 3,000 years ago. With the Pythagorean theorem, we can use any two sides of a right triangle to find the length of the third side. Suppose the two legs of a right triangle measure 8 inches and 12 inches, as shown in Figure 3.9. What is the length of the hypotenuse? By the Pythagorean theorem: 122 + 82 = H2 208 = H2 H = √208 While the equation gives two solutions, a length must be positive, so H = √208. This can be simplified to H = 4√13. What is the height of the triangle in Figure 3.10? Even though the height is labeled h, it is not the hypotenuse. The longest side has length 10 feet, and thus must be alone on one side of the equation. h2 + 32 = 102 h2 = 100 – 9 h = √91 ≈ 9.54 With the help of a calculator, we can see that the height of this triangle is about 9.54 feet. We can use the Pythagorean theorem on triangles without illustrations. All we need to know is that the triangle is right and which side is the hypotenuse. If a right triangle has a hypotenuse length of 9 feet and a leg length of 5 feet, what is the length of the third side? We use the Pythagorean theorem with the hypotenuse, 9, by itself on one side, and the other two lengths, 5 and x, on the other. 52 + x2 = 92 x = √81 – 25 = √56 = 2√14 ≈ 7.48 The third side is about 7.48 feet long. Pythagorean Word Problems Many word problems involve finding a length of a right triangle. Identify whether each given length is a leg of the triangle or the hypotenuse. Then solve for the third length with the Pythagorean theorem. A diagonal board is needed to brace a rectangular wall. The wall is 8 feet tall and 10 feet wide. How long is the diagonal? Having a rectangle means that we have a right triangle, and that the Pythagorean theorem can be applied. Because we are looking for the diagonal, the 10-foot and 8-foot lengths must be the legs, as shown in Figure 3.19. The diagonal D must satisfy the Pythagorean theorem: D2 = 102 + 82 D2 = 100 + 64 = 164 D = √164 = 2√41 ≈ 12.81 feet A 100-foot rope is attached to the top of a 60-foot tall pole. How far from the base of the pole will the rope reach? We assume that the pole makes a right angle with the ground, and thus, we have the right triangle depicted in Figure 3.20. Here, the hypotenuse is 100 feet. The sides must satisfy the Pythagorean theorem: x2 + 602 = 1002 x = √6,400 = 80 feet Since the Pythagorean theorem was discovered, people have been especially fascinated by right triangles with whole number sides. The most famous one is the 3-4-5 right triangle, but there are many others, such as 5-12-13 and 6-8-10. A Pythagorean triple is a set of three whole numbers a-b-c with a2 + b2 = c2. Usually, the numbers are put in increasing order. Is 48-55-73 a Pythagorean triple? We calculate 482 + 552 = 2,304 + 3,025 = 5,329. It just happens that 732 = 5,329. Thus, the numbers 48, 55, and 73 form a Pythagorean triple. Generating Pythagorean Triples The ancient Greeks found a system for generating Pythagorean triples. First, take any two whole numbers r and s, where r > s. We will get a Pythagorean triple a-b-c if we set: a = 2rs b = r2 – s2 c = r2 + s2 This is because a2 + b2 = (2rs)2 + (r2 – s2)2 = 4r2s2 + r4 – 2r2s2 + s4 = r4 + 2r2s2 + s4 = (r2 + s2)2 = c2 Thus, a2 + b2 = c2. Find the Pythagorean triple generated by r = 7 and s = 2. a = 2rs = 2(7)(2) = 28 b = r2 – s2 = 72 – 22 = 45 c = r2 + s2 = 72 + 22 = 53 Thus, r = 7 and s = 2 generate the 28-45-53 Pythagorean triple. If we plug in different values of r and s, we will generate many different Pythagorean triples, whole numbers a, b, and c with a2 + b2 = c2. Around 1640, a French mathematician named Pierre de Fermat suggested that this could happen only with the exponent 2. He said that no positive whole numbers a, b, and c could possibly make a3 + b3 = c3 or a4 + b4 = c4 or an + bn = cn for any n > 2. Fermat claimed to have found a short and clever proof of this, but then died without writing it down. For hundreds of years, mathematicians tried to prove this result, called "Fermat's Last Theorem." Only in 1995 was it finally proven, by a British mathematician named Andrew Wiles. Because his proof runs to more than 100 pages, it is clearly not the simple proof that Fermat spoke about. This assumes, of course, that Fermat had actually found a correct and simple proof. Practice problems for this study guide can be found at: - Kindergarten Sight Words List - First Grade Sight Words List - 10 Fun Activities for Children with Autism - Child Development Theories - Definitions of Social Studies - Grammar Lesson: Complete and Simple Predicates - Social Cognitive Theory - Signs Your Child Might Have Asperger's Syndrome - Theories of Learning - Why is Play Important? Social and Emotional Development, Physical Development, Creative Development

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http://scitation.aip.org/content/aip/journal/apl/103/7/10.1063/1.4818711

math

Full text loading... Cone-based surface with Gaussian-based distributions for width, height, and placement. (a) Reflectance for textured tungsten with different average radii. FWHM of these cones is 300 nm with 95% of the substrate being filled with cones. (b) Simulated reflectance for various distributions of cone periods. Cone average radius is 500 nm, with 95% of the substrate being filled with cones. Simulated reflectance for different thicknesses of oxides on a textured tungsten substrate. Cone average radius is 500 nm with a FWHM of 300 nm and 95% of the substrate being filled with cones. Reflectance for textured tungsten at various temperatures. Cone average radius is 500 nm with an average height of 2 μm, with a 100 nm oxide layer on the cones. Cone FWHM is 300 nm. Article metrics loading...

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https://bhxb.buaa.edu.cn/CN/abstract/abstract10385.shtml

math

Image processing and analysis algorithms for measuring log volume Long Defan1, Fan Shangchun1, Pang Hongbing2* 1. School of Automation Science and Electrical Engineering, Beijing University of Aeronautics and Astronautics, Beijing 100083, China; 2. School of Computer Science and Technology, Beijing University of Aeronautics and Astronautics, Beijing 100083, China The key image processing and analysis algorithms were investigated and designed based on operating principle of the automatic system for log volume measurement. Hough transform (HT) was applied to the image since log ends are quasi-circular. Peaks of the HT were detected in maximal balls corresponding toeach maximum skeleton point. Consequently, the image was coarsely segmented by each HT peak corresponding to one log end. The active contour model was transformed into the polar coordinates. And the maxima of image gradient were selected as candidate points of log end contour. Global minimum of the energy functional can be found using dynamic programming. With this approach, the precise contours of the log ends can be extracted. Experiment shows that the proposed algorithms are of significance. �� ��,����һ.��������Բ��Ŀ��ͼ��ʶ���²���[J].�й�ͼ��ͼ��ѧ��,1999,4(3):202~206 Luan Xin, Zhu Tieyi. The new recognition algorithm for irregular quasi-circular object[J]. Journal of Image and Graphics,1999,4(3):202~206(in Chinese) Wang Yaming, Huang Wenqing, Zhao Yun. Computer vision technology in log 13 inspection[J].Journal of Forestry Research.2002,13(1):67-70

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