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For the converse, while I agree that the point will be on the pependicular bisector, we can't assume the line drawn is actually the perpendicular bisector... yet the above textbook example assumes it is. I don't see why, based only on XA=XB, we're allowed to conclude that XY is perpendicular to AB and YA is congruent t... | 0 |
I have been told that galaxies will never stop rotating because conservation of angular momentum But, there are planets inside of it can travel through dense nebulae and bodies of gas that would cause friction (and probably brake their travel speed through the Galaxy). Wouldn't that brake the galaxy's rotation? Also, g... | 0 |
I want to write a formula and put on its right side the description of its variables. Here I just screenshoted the two parts and put them side to side with figure environment but I want to write some "code" that puts it like that but not with screenshots or pictures or anything like that. Is it possible ? And if yes, h... | 0 |
I'm reading a textbook that gives both a "weak" and "strong" formulation of optimal control (first is a control function, second is the whole space, filtration, Brownian motion, and function etc). The textbook has a theorem about existence of optimal controls for the weak formulation and makes explicit that the strong ... | 0 |
Let us consider a metal clamp which is placed rigidy and is placed parallel eto the ground. Now on the both ends the plates of a capacitor are kept such that they are parallel to the ground. A dielectric is kept in between and slowly released from the clamp. Also a battery is connected to the circuit so as to always ke... | 0 |
If you have a square two-dimensional grid, that are lots of ways it could be triangulated -- for an individual square one could add an edge from upper-right to lower-left, or from lower-right to upper-left. For an ensemble of squares, a choice of extra-edge direction for each square, so lots of choices. I can think of ... | 0 |
I was studying duality maps in my Advanced Stat. Mech. class and it was told that all self-dual points need not correspond to critical point. I understand that critical points are points where analyticity of the partition function breaks down. If this point is unique then it can be given by the duality relationship bet... | 0 |
The system I am trying to model is essentially moving water interacts with ferrofluid. The ferrofluid is in a box that contains air and ferrofluid, such that the setup is buoyant. The ferrofluid chamber has outlets so that it can interact with water. Here's an example image of the system: I need confirmation in these a... | 0 |
I have been having this doubt when applying the Divergence of a Electrical Potential evaluated in a point, and then doing the Divergence to get the Electric Field in that point. But is this valid? or I have to do the Divergence first and then evaluate? Because when I do the first thing I get the correct result, but the... | 0 |
Is it possible to use punctuation marks such as commas, periods, and question marks just before colons or semi-colons? The error appears when accessing some URLs, e.g.: List items ... Can I set additional parameters for the following tasks?: List items ... I occasionally come up with such sentences due to perhaps my mo... | 0 |
It is well known that a convex function is minimised over a convex set, if and only if there is a subgradient which is inwards normal to the set at that point. i.e the negative subgradient (direction of steepest decrease) points directly out of the set. Is there a corresponding rule for maximising a convex function? i.... | 0 |
A neutron is udd, then an u-anti-u starts to exist close to the neutron. Then the one d and u change places forming an uud (proton) and anti-ud which decays to an electron and electron-antineutrino. Now it is my reasoning that since this process exists the process can be sidestepped so that a udd decays directly to a u... | 0 |
I wonder how would we go about to calculate centripetal/centrifugal acceleration for relativistic objects moving at near the speed of light , do we use the original acceleration = force/mass, or input gamma factor for it to be , Acceleration = (gamma) force / mass , Acceleration = Force / (gamma) mass Which one is vali... | 0 |
Is there a package or option that starts alternating row colors from within a table, so that no matter how many manually-colored rows are inserted, the alternating can be started again with the same color each time? (In a single table, I want to manually color a few "heading" rows, each followed by an undetermined numb... | 0 |
This is something I have noticed on a fairly regular basis, and this is a recent example, where the questioner starts by saying "I'm working on" and ends up asking "How do we...?" Can someone help me with this circuitry? I am not an electrical engineer. I'm working on a brain/organoid computer interface system . . . Ho... | 0 |
I'm writing math notes, and I would like to use the symbol for the letter T that appears in this picture (seen in a TeX.StackExchange post): click The symbol I want is in the line "Calligraphic: UPRIGHT: euler (Euler script)". How can I load it? Note that I'm not interested in changing all symbols in my document. I jus... | 0 |
Elliptic Integrals and Jacobean Elliptic functions I know it is easy to determine u =F(x,k) where F is elliptic integral of the first kind knowing both x and k. I know it is also possible to determine x = sn(u,k) where sn is the Jacobean Elliptic function knowing only both u and k. Is there a function to determine the ... | 0 |
Fox's Trapezoidal Conjecture asserts that the coefficients of the Alexander polynomial of an alternating knot alternate and the sequence of their absolute values forms a trapezoidal shape. The same is true for the Jones polynomial for some alternating knots that I checked. However, since I didn't find an analogous conj... | 0 |
What word describes someone who is extremely carefree to the point of risking their lives. The person is not even bad or annoying; in fact, they are vibrant & outgoing. Except they don't extremely carefree to the point of risking their lives. I was thinking of "extremely carefree" or even "unhinged". For example, That ... | 0 |
Here is the situation. Let's say I have have a mass of a given liquid and I heat it to create a gas. The gas has a lower density than air, so it will move higher and higer in the atmosphere. Then, I recondensate this gas into liquid. Suppose both process are ideal, so the energy I put in the system to cause evaporation... | 0 |
I am writing an application in which I complain that every time I point out to the cooks or their supervisor that the meal is not up to the mark,and actually show them how it is, they say that no body else complains, only I complain. However, whenever I ask my colleagues about this, they tell me that what I am saying i... | 0 |
There is no scenario where we can use Coulomb's law. There is no static charge. Even if we consider the local charge density to be constant for a system of charges, the individual charges are still moving, and as we know they are not quite the same. Moving charges show different effects. Even if we think about putting ... | 0 |
Often you have to adjust the table of contents manually. With very large documents, it is then very time-consuming to compile the entire document each time just to be able to look at small adjustments to the table of contents. Is there any way to tell LaTeX to compile only the toc and not the document? Or maybe you can... | 0 |
Say we have a hot cup of coffee that is giving off steam. It is releasing heat into the environment through radiation and conduction. The steam is from certain particles reaching a high enough kinetic energy as to escape the attractive, intermolecular forces that bind them intrinsically. If we physically inhaled steam,... | 0 |
In steady state condition of a conductor under normal temperature, we find that the derivative of drift velocity is zero by setting electric field equal to zero, and one concludes that current density is proportional to the electric field. But in case of superconductor, why don't we have such a steady state condition l... | 0 |
Why are there two interior regions in this diagram? There seems to be two inner horizons, and two wormhole regions. Where do the two such regions comes from? What determines which reason someone falls into? Could a composite body fall into "both regions" with part of it going into one region and part into the other. Th... | 0 |
I would like to consider the sound incident to a water filled pipe wall. I think the pipe wall is typically considered as a rigid wall boundary, it means all the incident wave is reflected. Is this assumption is correct in real world? I think if the sound inside the pipe is large, we can hear the sound from outside the... | 0 |
Using thesisdown to write my Masterthesis I was wondering about the default indentations of the package: If you check the pictures below, all the pages (of the default 'knitted' thesisdown rmd-files) have different indentations (holds also for the toc). On a first glance my guess was that pages with a heading have a ce... | 0 |
I am reading Middlemarch by George Eliot. I encountered this long sentence and only understood the gist of it. I can't figure out the grammar style and I am looking for the verb of the subject "he". Here is the sentence: Thus, the mind of Frisk was exactly of the sort for Mr. Solomon Featherstone to work upon, he havin... | 0 |
There are projective sets in descriptive set theory. For them, the axiom of determinacy is not contradicting the axiom of choice. Given the axiom of choice, every set is a projective object. But in a world without AC, is any projective set a projective object in the sense of category theory? Or did those terms happen t... | 0 |
Assuming the object positioned in front of the mirror at some point on the principal axis before the focus, each point of that object emanates light in all directions, so what happens to the rays of light that do not fall parallel to the principal axis and those that pass through the focus, do they not converge at some... | 0 |
During the rotation of the Earth, a centrifugal force is formed, according to the actions of which ocean water should be collected at the Equator, forming a "hump" hundreds of meters high. However, there is no water hump on the Equator. The depth of the ocean does not depend on latitude, although there should be such a... | 0 |
For a given game, is there any relationship between the computational complexity of weakly solving the game and strongly solving it? I ask because a weakly, but not strongly solved game with simple strategies to guarantee at least a draw could still be interesting to play if the players place little value on a draw, an... | 0 |
When I saw factorials, I immediately thought about Wilson's theorem. However, I didn't succeed at all. I also thought about cyclic groups, but with such amount of information I haven't find the use of them. How can I prove it, where to start at least? Source of the problem: practice for exam made by my teacher in the u... | 0 |
As a non-native speaker I currently have a doubt about something. I am writing a technical note about units of measurements (kilogram, meter, second...) and physical quantities (mass, length, time) for software (and I am talking about abstractions in software architecture) and I am note entirely sure whether I should w... | 0 |
Is there an adjective or shortish expression for an item that is "not known to be needed". Context: at the beginning of a process, all items are "unknown as to whether they will be needed or not", so all items are "X". As I progress through my process, at any point in time I may realize that some item is now or will be... | 0 |
Magnetic field lines are loops, so at the surface of a magnet pole they look like this? there is a dead zone at the center where there is no lines/magnetic field present? Or lines converge in the middle to a single line or point? like so? Which picture is correct? also on some googled pictures I can see a single straig... | 0 |
I believe that Star Trek has advisors so that their science has at least a tenuous theoretical basis. The latest episode is based on interacting with an "improbability field". Is this just gibberish or is there some conceptual basis in quantum field theory? The only reference I can find is in this book that says which ... | 0 |
So I came across this game called "Getting over it". It is a game where you propell yourself upwards with a hammer, sticking it into various places to keep it in place. My question is, if you were to do the same thing in real life, how would the force applied by you onto the wall above you lift you up? You can check th... | 0 |
I am writing lecture notes for a course I am teaching. A Module on Matrix Computations involves a special mathematical expression and I have no clue how to typeset in LaTeX. I have enclosed an image of this calculation and I request your kind help how to typeset it. There is a special type of arrow in this image, and I... | 0 |
Is Point O called the center of the half disk (informally, semicircle)? It's not the centroid since it's not at the center of mass. I'm not sure if it should be called the center if it lies on an edge of the shape and it's only the center of the full disk. I've never seen an official term for it for just a half disk. D... | 0 |
I have a game in which pieces normally get tiled in an arrangement like this (which can be shortened or extended arbitrarily): But in special circumstances a piece may be permitted to be placed in between and on top of the other pieces, like this (red circle shows the one piece placed on the corner of four other pieces... | 0 |
A pipe with a pump and two open ends is placed under water. When the pump is initially turned on, will the pressure at P_out and P_in initially rise/fall, but then stabilize as a flow of water V_flux develops (and the suction pressure is equal to the pushing pressure at all points)? The assumption is that the pressure ... | 0 |
Can anyone tell me what are the relevant pieces of information that are required to find the amplitude of a speaker membrane for a particular input ac signal frequency and voltage amplitude? Could you also show the method by which I can achieve that? Do I need to do an energy balance? Does that mean I would require to ... | 0 |
As Photons do not experience time or space, then according to my thought experiment, all photons must occupy some kind of singularity as well as what WE observe from earth. I was also thinking that the faster you travel the smaller the universe becomes and although you experience time, that time is dependent on the obs... | 0 |
The text defines the torque of a particle system as being connected with the axis of rotation. "Taken two particles of masses m connected to a thin rod of negligible mass etc", but later when the text explains the torque due to gravity defines the torque of a body as the point of origin (I assume that the axis of rotat... | 0 |
It is clear that infinitesimal strains are obtained from finite strains (e.g. Green-Langragian or Eulerian-Almansi tensor) by removing nonlinear terms which smallness order is greater than that of linear terms. But it is not clear for me whether such a procedure is justified, if we bear in mind that finite strains are ... | 0 |
I found a metal rod lying on the floor and I found out that it sticks when brought closer to a steel sphere like a magnet, but, neither the sphere nor the rod is a magnet. More astonishing is that the sphere sticks to the rod to only a single side of the rod and not the other side as if it was a uni-directional magnet,... | 0 |
I recently came across this document which I am trying to recreate, and this is what I'm dealing with: I have no clue where to start in trying to replicate a header and footer like that, I new to LaTeX classes so I'm not really sure where to start. Youtube is pretty plain on this topic and Overleaf learn section doesn'... | 0 |
I understand numbers to be defined as objects defined to have certain convenient properties in relation to certain operations. It is very surprising that the exact same group objects should be applicable to the modelling of such seemingly disparate concepts as length, area, degree, cardinality, time, wavefunction, etc.... | 0 |
A signal in additive noise is sampled by a receiver with an unstable clock. Maybe the clock has absolute bounds on its frequency drift and sample time aperiodicity, or maybe the clock has some statistical characterization (maybe an Allan variance). Maybe the signal being sampled was also produced by such a system. Can ... | 0 |
For example, suppose a spaceship explodes. The sound of the explosion will travel in the expanding cloud of escaping gas. I gather that it should rapidly weaken and the pitch should drop, but I'd like to get more specific than that. Are there any models that suitably describe precisely this sort of situation? Additiona... | 0 |
There are two facts about elementary row operations and column/row spaces: Column space is affected by elementary row operation, whereas row space is not. (the issue of finding a spanning set of column/row space) Linear dependence relations between columns are preserved over elementary row operations, whereas the same ... | 0 |
What is the exact difference between a moment and a couple? In some YouTube channels and books, they say the moment of a force produces a translational as well as rotational motion whereas the concept of couple produces a pure rotation. How and why is it so? I am not convinced about this yet. Once you fix your point of... | 0 |
My objective at this point is not to learn all and advanced mathematical proof concepts/techniques. At this point my objective is to get basic understanding of what is mathematical proof and learn only basic concepts/techniques behind them. Also, I need it to have as minimal prerequisites as possible. Best variant will... | 0 |
My goal is to implement a mathematically correct multivariate normal distribution using Sobol QRNG sequence as a source of randomness. The implementation should NOT produce the whole set of a given size at once, but instead it should reveal next values one by one, also depending on getting new values out of the Sobol s... | 0 |
For example, if you say New Orleans like "New Orleens" it's considered wrong, instead of "New Orlins" (Orleans is pronounced different in France though), or Iran like "I ran" is wrong, instead of "Ear on". But then people have names for other places all over, like Germany or Allemagne, instead of Deutschland, which wou... | 0 |
I read that the standard depiction of covalent bonding is misleading. It gives the impression that the valence electron exists at that bond site. But really it exists as a wave throughout the crystal. So is it a standing wavefunction that has a peak at the bond site? From this can we infer that conduction electrons hav... | 0 |
Let us assume that the classical spacetime describes relative positions of mass particles, and the relative positions are in fact described by quantum entanglement. That is, the stronger the entanglement, the shorter the classical distance. If a group of mass particles are being pulled very close together by classical ... | 0 |
I study the magnetic trapping recently. I met a problem. I consider the original quadruple magnetic trap. In the original quadruple magnetic trap, the magnetic vanishes at the center. The Majorana flips happens at the center. If we want atoms move in the trap adiabatically, the Lamor frequency must be larger than the t... | 0 |
I have read the related discussion and some text and get some basic ideas. Geometrical interpretations of SVD Visualization of Singular Value decomposition of a Symmetric Matrix What I don't understand is why are we rotating twice? I imagine we only need to rotate once, and scale once? Is there any significance in the ... | 0 |
I am confused about the curve carried by the train track. I am using two references: Mosher's note (via arcs) and Johnson's blog (via bands). By Mosher's definition, I wonder if or not, in the following picture, the blue arc is carried by the train track determined by the red and green arc (we can make the blue arc arb... | 0 |
We know that displacement is change in an object's position (here position means 'position vector'). Then velocity will be change in position of the object with respect to time, simply displacement/time taken. But I was taught that velocity is change in displacement with respect to time, then it means velocity will be ... | 0 |
I want to understand something: when someone measure the pressure, temperature and specific volume of a material, I think the pressure is applied in all directions of the material. This can be understandable for liquids and gases because the pressure in a closed container and for instance, you can used a piston to incr... | 0 |
I am not sure if I understand the energy band diagram correctly. In a pn junction situation below, before the p type material come into contact with the n type material as in figure a), an electron at the conduction band minimum in the p material has the same(or roughly the same) energy level as an electron at the cond... | 0 |
Many textbooks on tensors start with a sentence like "An equation written in tensor form is valid in any coordinate system." The second sentence is often "Closely associated with tensor calculus is the index notation." According to me, this seems contradictory. The first sentence seems to state that coordinate systems ... | 0 |
Consider no air resistance. If we throw a ball vertically upward from my point of view it goes vertically up and down and moving along straight line. But from point of view observer in outer space it is parabolic because of rotation of the earth. We know vertical acceleration/deceleration is due to earth gravity. But w... | 0 |
In the book Then I'm trying to understand the reasoning behind constructing the matrix, I get the unique scalars P_ij part, representing the one basis's vectors with another basis vector's linear combination. But then he uses same matrix for getting another basis's vectors. I'm confused about this kind of reasoning and... | 0 |
I thought about the question in the title for a ring that is not a Dedekind domain (here, the unique decomposition is a well-known theorem and also characterizes Dedekind domains!) but only a one-dimensional noetherian integral domain. The following is the motivation: In a Dedekind domain, every fractional ideal is inv... | 0 |
I'm going to study plasma characteristics by using Particle-In-Cell (PIC) method and I know that plasma has fluid behaviour and can also consider as particle behaviour also. To understand a basic of PIC simulation, I would like to understand an origin of the PIC that why it used differential equation to describe plasma... | 0 |
When one says light comes on immediately when you turn on the switch of a flashlight cause the electric field is set up in the wire with a speed approaching the speed of light, what does exactly this sentence mean "electric field is set up in the wire with a speed approaching the speed of light" does the electric field... | 0 |
How to cut the square which tessellates to octagon using straightedge and compass? What are the exact measures of colored sides? What is the angle marked with red color? Edit (I added vertices): Edit. Acknowledgement after answers. Thanks to Jean Marie, Blue and Daniel Mathias for tackling the problem. I accepted Blue'... | 0 |
What is the difference between the two sentences below? And what does the first sentence express exactly? Also, could you provide a grammatical analysis of the structure of the first sentence naming each of the parts of the sentence (which one is the subject/object, etc) and parts of speech (noun, verb, etc.)? We were ... | 0 |
Is the word multiperspectively (sometimes polyperspectively) only used to describe literature, as in narrative perspectives? Could I use it to describe a personal trait? For example: In debates people despise that I multiperspectively argue.... I did see a post asking what the word was for "seeing from multiple points ... | 0 |
I have a Kalman filter that uses location as part of its internal state. This location is expressed as x, y coordinates in meters north and west from a fixed point (the home location). Part of my measurements for the filter are GPS coordinates. Can I translate the measurements back to the state space using the H matrix... | 0 |
I am self studying algebraic topology, the fundamental groups and covering spaces and homologous groups. I have read the topological properties of classical matrix groups like connectedness, path connectedness and compactness. Now I want to study the algebraic topological properties of these groups. In particular what ... | 0 |
When an electromagnetic wave interacts with a free electron the electron starts to oscillate in the direction perpendicular to the propagation of the wave meanwhile when a photon interacts with a free electron what will the electron do? Will it oscillate in the direction perpendicular to the momentum of the photon? or ... | 0 |
In present tense or past tense, subject and verb can be omitted after conjunction. For example People tend to laugh when (they are) imagining pleasant things When (I was) going home, I met my father Then could it be possible to omit subject and verb in case of the past perfect tense as well? For example, As it had been... | 0 |
I live in this region and is studying to retake the national test and I need a big amount of tough exercises to practice but I can't find good documents/ textbooks over here. Any appropriate textbooks help me greatly. The topics are: calculus, algebra (especially logarithm), complex numbers, Oxyz algebra(?) (I really d... | 0 |
From the perspective of an electron in the double slit experiment, does the "rest of the universe" that it is disconnected from behave in the same manner as the electron does in our view? As in, is the world around it, from the electrons point of view, as a closed, separate system to be interpreted the way we see the e... | 0 |
I was reading Lazarsfeld's Positivity in Algebraic Geometry, and I realize that Cartier divisor can have torsion elements, but I can't find such an example. I know for the Noetherian scheme that is locally factorial, the Cartier divisor is isomorphic to Weil Divisor and we know Weil Divisor group is free therefore it's... | 0 |
Okay, apart from the American slang term, or the reference to a male chicken, what is the meaning of the syllable "cock"? For example, shuttlecock ... in badminton. Or, as I'm doing housework and learning about plumbing, a "ballcock" valve in a toilet, or a "sillcock" valve in pipes? Does it refer to a specific shape, ... | 0 |
I can't decide what I prefer - having empty space at the end of a page or a split box. For example: Should I be aiming to make sure the page is full with no need to break boxes? Like, I can add more text I probably don't need further up the page so that the last box starts on a new page, is this something people do for... | 0 |
Consider the small weight is attached to a big diameter wheel and the big weight is attached to a smaller diameter cilinder. I've read that if you ignore friction and all the forces are balanced perfectly, you could consider the possibility of this machine lowering the lighter weight through the distance of one wheel c... | 0 |
I know the restatable environment from the packages thm-restate combined with thmtools, which allows to formulate theorems that can be restated later in the document. Now I am wondering, if there is a similar solution for equations like equation, align, etc.. I have already tried to just reuse that restatable environme... | 0 |
I would really like to create these pictures to help with fractions. I know how to begin using tikz package. I am not sure how to go about setting it up so that I do not have to draw it separately each time. I would love to show something that I have started with but have no idea. And what if I wanted to make the recta... | 0 |
Suppose that I have two electrons in a box that were originally spread by a infinite potential wall. The two electrons are in their ground state wave function (sine function). Now I removed the barrier for the two electrons to interact. How is the Pauli antisymmetrical pair formed? Do I have to impose them to become th... | 0 |
If I were to have asked this question about local systems, it would be extremely easy to give examples from physics/biology, etc. I can give example if people want, but this should be easy to Google. Question: What examples of perverse sheaves naturally show up in nature? More specifically, I mean examples which are no... | 0 |
I am not sure why the following configuration can not be a configuration of a electromagnetic wave. I mean, i am sure it can not be the configuration of the fields in a plane perpendicular to a wave, but i can't explain the reason in a satisfactory way. Look, it seems there are souces propagating with it, since these c... | 0 |
At a weight m, a plane is acceleration upwards at rate of a. We also remember the value of g. From my understanding, we have two opposite forces that we care about. The force due the gravitational acceleration, which points in the negative y-direction, The force of the upwards acceleration, which points in the positive... | 0 |
The question is simple. Could analog computers (for example, electrical analog computers) in effect avoid traditional numerical instability problems that come from solving a set of PDEs over a discretized domain? Progress on significant physical problems (the computational aspects at least) are often substantially dela... | 0 |
To my understanding, normal reaction is a force that pushes in the opposite direction of gravity, in order to keep the object from falling, or phasing through the surface. Though, what happens when we enter a circular rail? In this case, the guide book is saying that the normal reaction is pushing alongside gravity. Th... | 0 |
A grad school problem has been haunting me for years and I have never been able to find it on the google machine nor was the professor who assigned the problem able to describe how to actually solve the problem... How do you find the surface area of an ellipse projected onto a sphere? The real world application is what... | 0 |
Say a spaceship is traveling at a certain velocity v (>>c) and it emits light from the nose of my spaceship in the direction of travel. The speed of light is finite and hence there should be a change of wavelength of light. How does the speed affect the momentum transfer does my light have lower momentum thanks to the ... | 0 |
My math professor told us that the upper and lower bounds theorem of polynomials (pictured) applies not only to rational roots, but also to the modulus of complex zeroes. They were unable to come up with an explanation for why this works, and I do not grasp this concept at all. Why/how does the bounds theorem apply jus... | 0 |
I heard that if Universal Expansion continues at some point galaxies will be so separated that a future civilization would have no way to know there are other galaxies, for them the Galaxy they live in is alone in the universe. (I'm planning to write a sci-fi story about it). Thus more or less in what time frame would ... | 0 |
I am new to it, so please help. As I know, AC current is back and forth motion of electrons, which radiates electromagnetic waves, so there is energy radiation from power line to our home. But in case of DC, if the magnetic field and electric field are static then how does energy radiate. I have searched that drift vel... | 0 |
I have a body on a horizontal surface with friction. My thermodynamics system is only the body and I want to describe this with the first law of Thermodynamics. Suppose the body has a start kinetic energy and for the friction in the final state it has no more kinetic energy. For this problem there isn't a heat exchange... | 0 |
I have Two parallel lines, I want to create from one line to another using a cubic Bezier curve (S shaped basically), I'm free to pick any start point and end point. But the constraint is this path should be optimally shortest, also another constraint is I don't want the curves with too much curvature, I just want to s... | 0 |
I was thinking about the definition of reversibility but there is something that I cannot understand. In real life the surrounding of a system (anything else in the universe) is always changing making impossible a reversible process even if the process is slow enough to guaranteed the lack of friction heat loss and thi... | 0 |
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