OpenLLM-France/wikimedia huggingface dataset:
# Metaphysics (Alternate View)/Creation/Gyroscope

(An alternative view by Calgea 19:49, 6 June 2007 (UTC))

## Conical Pendulum

Think of a gyroscope sitting on a frictionless pedestal. Let the wheel rotate at a constant rate on its vertical axis. The only energy in this state is the angular energy in the wheel.
Now displace the axis from the vertical, say ten degrees. As the gyro precesses, the viewer is looking at an upside down conical pendulum.
Conical Pendulum

## Simple Pendulum

Arrange the gyro so that its axis is horizontal, and it precesses in the horizontal plane. Let the viewer be on a rotating platform that turns at the precession rate. In this state, the axis is always pointing to the right of the viewer. Hit the axis so that it starts to nutate, i.e., bob up and down.
The viewer is looking at a horizontal simple pendulum.
Simple Pendulum

## Why doesn’t the gyro fall?
### Field View

Stop the gyro from nutating and start over. Place the gyro on two pedestals, one at each end. The only energy in this state is the vertical field of Spin energy due to the rotating wheel.
Remove the pedestal on the right. At the instant of removal, the gyro begins to fall due to gravity. At this instant, there is a displacement angle. This displacement angle means there is a new and different field of Spin. There is also a field of Linear motion as in the simple pendulum. Because of the catalytic action of the field of Spin, this inward Linear motion translates to a perpendicular outward Linear motion and the gyro precesses.

### Energy Circles

There are three energy circles related to this gyro. The first is the circle in the plane of the rotating wheel and representing the energy in the wheel. The second is a vertical circle in the plane of the axis and representing the Spin energy due to gravity. The third circle is in the horizontal plane of precession. It represents the Linear motion energy due to the precession of the gyro.
The third energy circle appears to be a field of Spin energy. This cannot be. Energy of one type cannot change to energy of the same type without a catalyst.
Note: This above is not the accepted view.
# Metalwork

This department concerns itself with the craft of metalwork, that is to say the shaping of metal, in terms of both the physical method and the ultimate artistic or practical application.

## Resources

* Welding
* Blacksmithing
* Goldsmithing
# Metaphysical philosophy
## Welcome Beloved I AM!

This page was created for those of us who travel inward while thinking deeply; only to come to the realization that the only thing real in this universe is that which is eternal. To digress us from this truth is legion and his lies, which have infiltrated us at every level. The time has come whereby the true manifestations of the highest living God beloved I AM THAT I AM, rise up as one Beloved I AM, to bring light to all of those dark places exposing all lies while seeking only real truth. I and my father are one!
The door that lies before us is that which is eternal, and the path that lies ahead of us involves expanding the mind to think both finitely and infinitely. Please feel free to join in and help to grow this department.

### With that I leave you with this Decree!

In the name of my constant, loving I AM Presence, I AM THAT I AM and my holy Christ self. I call to Beloved I AM, Archangel Michael and to Beloved I AM, Saint Germain to keep intact through every passing moment the shimmering shower of Gods beautiful light manifesting as divinely charged energy radiating from this page transcending with the ever expanding violet fire of Freedom's forgiving, transmuting flame! Cause the ever expanding energy of this flame projected downward into the force field of my human energies to completely change every negative condition into the positive polarity of my own Great God Self! I decree this in memory of the blessed dawning day when all discord—cause, effect, record, and memory—is forever changed into the Victory of Light and the peace of the ascended Jesus Christ. I AM now constantly accepting the full power and manifestation of this fiat of Light and calling it into instantaneous action by my own God-given free will and the power to accelerate without limit this sacred release of assistance from God's own heart until all men are ascended and God-free in the Light that never, never, never fails!
And for you non-believers, I dare ask the question: Can nothing create something?
VagyokC4 21:05, 5 August 2007 (UTC)
# Gene transcriptions/General factors/Quiz

General transcription factors is a lecture and an article as part of the gene transcription series.
You are free to take this quiz based on general transcription factors at any time.
To improve your score, read and study the lecture, the links contained within, listed under See also, External links, and in the {{gene project}} template. This should give you adequate background to get 100 %.
As a "learning by doing" resource, this quiz helps you to assess your knowledge and understanding of the information, and it is a quiz you may take over and over as a learning resource to improve your knowledge, understanding, test-taking skills, and your score.
Suggestion: Have the lecture available in a separate window.
To master the information and use only your memory while taking the quiz, try rewriting the information from more familiar points of view, or be creative with association.
Enjoy learning by doing!

## Hypotheses

* A1BG has been transcribed using GTFs.
# Gene transcriptions/Promoters/Quiz

Gene promoters is a lecture and part of the gene transcription series.
You are free to take this quiz based on gene promoters at any time.
To improve your score, read and study the lecture, the links contained within, listed under See also, External links, and in the {{gene project}} template.
This should give you adequate background to get 100 %.
As a "learning by doing" resource, this quiz helps you to assess your knowledge and understanding of the information, and it is a quiz you may take over and over as a learning resource to improve your knowledge, understanding, test-taking skills, and your score.
Suggestion: Have the lecture available in a separate window.
To master the information and use only your memory while taking the quiz, try rewriting the information from more familiar points of view, or be creative with association.
Enjoy learning by doing!

## Hypotheses

* The promoter for A1BG may be as many as 1,000 nucleotides.
# Gene transcriptions/Promoters/Proximals/Quiz

Proximal promoters is a lecture as part of the gene transcription series.
You are free to take this quiz based on the proximal promoters at any time.
To improve your score, read and study the lecture, the links contained within, listed under See also, External links, and in the {{gene project}} template. This should give you adequate background to get 100 %.
As a "learning by doing" resource, this quiz helps you to assess your knowledge and understanding of the information, and it is a quiz you may take over and over as a learning resource to improve your knowledge, understanding, test-taking skills, and your score.
Suggestion: Have the lecture available in a separate window.
To master the information and use only your memory while taking the quiz, try rewriting the information from more familiar points of view, or be creative with association.
Enjoy learning by doing!

## Hypotheses

* The proximal promoter for A1BG is involved in enhancing or inhibiting only.
# Gene transcriptions/SAREs

"Salicylic acid (SA) is an important signal in plant defence [4••] and a SA-response element (SARE) has been identified in the tobacco PR2-d gene. A 76bp fragment conferred a 20-fold induction by SA in transgenic tobacco plants and protein binding studies indicated that the core sequence of this SARE is TTCGACCTCC [40]."

## Synaptic Activity-Responsive Elements

"A unique synaptic activity-responsive element (SARE) sequence, composed of the consensus binding sites for SRF, MEF2 and CREB, is necessary for control of transcriptional upregulation of the Arc gene in response to synaptic activity."

## CREBs

"The Ca$^{2+}$/cAMP response element-binding protein (CREB) was initially identified as the main interlocutor in the dialogue between the synapse and the nucleus [1]."

## MEF2s

"MEF2 [is a transcription factor] necessary for long-term memory consolidation and storage."
Myocyte enhancer factor-2 (MEF2) proteins are a family of transcription factors which through control of gene expression are important regulators of cellular differentiation and consequently play a critical role in embryonic development. In adult organisms, Mef2 proteins mediate the stress response in some tissues.

## SRFs

The "serum response factor SRF [is a transcription factor] necessary for long-term memory consolidation and storage."
The serum response factor (SRF) is a transcription factor protein that binds to the c-fos serum response element (SRE).
The serum response factor is a member of the MADS-box (MCM1, Agamous, Deficiens, and SRF) box superfamily of transcription factors, binding to the serum response element (SRE) in the promoter region of target genes. This protein regulates the activity of many immediate early genes, for example c-fos, and thereby participates in cell cycle regulation, apoptosis, cell growth, and cell differentiation, is the downstream target of many pathways; for example, the mitogen-activated protein kinase pathway (MAPK) that acts through the ternary complex factors (TCFs).
SRF is important during the development of the embryo, as it has been linked to the formation of mesoderm. In the fully developed mammal, SRF is crucial for the growth of skeletal muscle. Interaction of SRF with other proteins, such as steroid hormone receptors, may contribute to regulation of muscle growth by steroids.

## Interactions

Serum response factor has been shown to interact with:
* ASCC3,
* ATF6,
* CEBPB,
* CREB-binding protein,
* ELK4,
* GATA4,
* GTF2F1,
* GTF2I,
* Myogenin,
* NFYA,
* Nuclear receptor co-repressor 2,
* Promyelocytic leukemia protein and
* Src, and
* TEAD1.
# MDLD/algebraic multiplicity

Start=algebraic multiplicity Target=Linear mapping/Multiplicities/Introduction/Section
# MDLD/arithmetic mean

Start=arithmetic mean Target=Real numbers/Arithmetic mean/Definition
# MDLD/axiom of Archimedes (R)

Start=axiom of Archimedes (R) Target=Ordered field/Archimedean property/Definition
# MDLD/bases (vs)

Start=bases (vs) See=basis (vs) MDLD/basis (vs) Target=Vector space/Basis/Definition
# MDLD/bijection

Start=bijection Target=Mapping/Bijective/Definition
# MDLD/algebraic (multiplicity)

Start=algebraic (multiplicity) Target=Linear mapping/Multiplicities/Introduction/Section
# MDLD/antiderivative (R)

Start=antiderivative (R) Target=Function/R/Primitive function/Definition
# MDLD/absolutely (convergence R)

Start=absolutely (convergence R) Target=Real series/Absolute convergence/Definition
# MDLD/absolutely convergent (R)

Start=absolutely convergent (R) Target=Real series/Absolute convergence/Definition
# MDLD/basis (vs)

Start=basis (vs) Target=Vector space/Basis/Definition
# PlanetPhysics/Biogroupoids and Mathematical Models of Species Evolution
### Biogroupoids and mathematical models of species evolution
#### Introduction

Biogroupoids , ${\mathcal {G_{B}}}$, were introduced as mathematical \htmladdnormallink{representations {http://planetphysics.us/encyclopedia/CategoricalGroupRepresentation.html} of evolving biological species} that are defined by (or `consist of') weakly equivalent classes of living organisms , $E_{O}$, specified by inter-breeding organisms;in this case, the weak equivalence relation, $\sim _{w}$, is defined on the set of evolving organisms modeled in terms of functional, isomorphic genome networks , $G_{iso}^{N}$, such as those described by $LM_{n}$-logic networks in \Lukasiewicz-Moisil, ${\mathcal {L}}M$ topoi.

### AT-Formulation

This biogroupoid concept allows an algebraic topology formulation of the origin of species and biological evolution both at organismal/organismic and biomolecular levels; it represents a new approach to biological evolution from the standpoint of super-complex systems biology.
# PlanetPhysics/Boolean Valued Function

A boolean-valued function is a function of type $f:X\to \mathbb {B}$, where $X$ is an arbitrary set and where $\mathbb {B}$ is a boolean domain.
A boolean function (of finite arity $k$) is a boolean-valued function of type $f:\mathbb {B} ^{k}\to \mathbb {B}$.
In some contexts a boolean-valued function may be referred to as a predicate or a proposition . In other contexts these terms may be used to describe the syntactic entities that denote or express boolean-valued functions, or that have boolean-valued functions among their canonical or intended models. When necessary to avoid confusion, terms like propositional expression or predicate formula may be used to distinguish signs from their objects.
# PlanetPhysics/Birkhoff Kakutani Theorem
### Birkhoff-Kakutani theorem

\begin{theorem}
A topological group $(G,.,e)$ is metrizable if and only if $G$ is Hausdorff and the identity $e$ of $G$ has a countable neighborhood basis. Furthermore, if G is metrizable , then $G$ admits a compatible metric $d$ which is left-invariant, that is, $d(gx,gy)=d(x,y);$ a right-invariant metric $r$ also exists under these conditions. \end{theorem}
# PlanetPhysics/Black Holes

The following considerations relate to the quantum gravity programs currently being developed.

### Conjectures on Black Hole Symmetry and Structure

* 1. A black hole--spinning or otherwise-- can be considered as a tightly coupled boson system, and thus a quantum spin group system; therefore, it is unlikely that it would be chaotic. instead, it is predicted to be organized as some kind of spin foam that would exhibit 'extremely slow' fluctuations related to the energy radiation leaks near the black hole horizon.
* 2. A graded Lie groupoid, $\mathbf {G} _{Lg}$, may provide a mathematical representation of the black hole gravitational, quantized field symmetry. (Both the precise concept of a $\mathbf {G} _{Lg}$ and that of quantized gravitational fields are available at PlanetPhysics).
* 3. Instead of "clouds" of probability one may wish to consider transition probability distributions for tightly coupled spin foams within the black hole.
* 4. Whereas space-time point topology is indeed a problem for black holes, a $CW$-complex non-discrete topology remains a possibility nicely represented by the spin foams that do form a CW-complex associated with the black hole. The $CW$-complex topology is consistent with both the $\mathbf {G} _{Lg}$symmetry of the quantized gravitational fields and the associated spin foams.
* 5. Instead of the 'standard' time in QM, one would may introduce for the region inside the horizon of the black hole a quantum superoperator associated with the time observable (as our quantum group has done in a few recent publications, echoing Prigogine's published work on quantum superoperators).
Remarks.
The black hole structure and symmetry are difficult, challenging problems that are at the cutting edge and intersections of both physics and algebraic topology.
Apparently, the question of the dimensions of a black hole is unanswered so far by M-theory.
# PlanetPhysics/Bibliography for Theoretical Physics

This is a contributed topic containing a current, annotated content bibliography for theoretical physics of recently published papers, books and archived preprints in theoretical physics.

## Theoretical/Mathematical Physics: Recent Literature

Entry in progress
# PlanetPhysics/Borel G Space

A (standard) Borel G-space is defined in connection with a standard Borel space which needs to be specified first.

### Basic definitions

* {\mathbf a.} Standard Borel space. A standard Borel space is defined as a measurable space , that is, a set $X$ equipped with a $\sigma$ -algebra ${\mathcal {S}}$, such that there exists a Polish topology on $X$ with $S$ its $\sigma$-algebra of Borel sets.
* {\mathbf b.} Borel G-space. Let $G$ be a Polish group and $X$ a (standard) Borel space. An action $a$ of $G$ on $X$ is defined to be a Borel action if $a:G\times X\to X$ is a Borel-measurable map or a Borel function. In this case, a standard Borel space $X$ that is acted upon by a Polish group with a Borel action is called a (standard) Borel G-space .
* {\mathbf c.} Borel morphisms. homomorphisms, embeddings or isomorphisms between standard Borel G-spaces are called Borel if they are Borel--measurable.
Borel G-spaces have the nice property that the product and sum of a countable sequence of Borel G-spaces $(X_{n})_{n\in N}$ are also Borel G-spaces. Furthermore, the subspace of a Borel G-space determined by an invariant Borel set is also a Borel G-space.
# PlanetPhysics/Biot Savart Law

The Biot-Savart law is a physical law with applications in both Electromagnetism and aerodynamics. As originally formulated, the law describes the magnetic field set up by a steady current density. More recently, by a simple analogy between magnetostatics and fluid dynamics, the same law has been used to calculate the velocity of air induced by vortex lines in aerodynamic systems.
The Biot-Savart law is fundamental to magnetostatics just as Coulomb's law is to electrostatics. The Biot-Savart law follows from and is fully consistent with Amp\`ere's law, much as Coulomb's law follows from Gauss' Law.
In particular, if we define a differential element of current
$Id{\mathbf {l} }$
then the corresponding differential element of magnetic field is
$d{\mathbf {B} }={\frac {\mu _{0}}{4\pi }}{\frac {I{\mathbf {d} l}\times {\mathbf {\hat {r}} }}{r^{2}}}$
where
I is the current, measured in amperes
${\hat {r}}$ is the unit displacement vector from the element to the field point and the integral is over the current distribution
{\mathbf Examples}
{\mathbf References}
[2] Jackson, D. "Classical Electrodynamics", John Wiley and Sons, Inc., 1975.
This entry is a derivative of the Biot-Savart law article [http://en.wikipedia.org/wiki/Biot-Savart\
# PlanetPhysics/Boolean Domain

A boolean domain $\mathbb {B}$ is a generic 2-element set, say, $\mathbb {B} =\{0,1\}$, whose elements are interpreted as logical values, typically, $0=\mathrm {false}$ and $1=\mathrm {true}$.
A boolean variable $x$ is a variable that takes its value from a boolean domain, as $x\in \mathbb {B}$.
# Mathematics for Applied Sciences (Osnabrück 2023-2024)/Part I/News

This is the English version of the material (lecture notes, exercises) of a mathematical course taught at the University of Osnabrück. So this is not an online-course, only the material for a real university course. The material is organized in a modular way (e.g. facts, proofs, examples, exercises are in separate files) so that it can be used also in other courses. The mathematical material is quite standard for a university beginners class, and the course has been taught several times. The English version is a direct translation. Suggestions are welcome.
# Mathematics for Applied Sciences (Osnabrück 2023-2024)/Part I/List of material

* List of definitions
* Important theorems
# Mathematics for Applied Sciences (Osnabrück 2023-2024)/Part I/Lectures

* List of definitions
* Important theorems
# Mathematics for Applied Sciences (Osnabrück 2023-2024)/Part I/Link on portal

Mathematics for Applied Sciences (Osnabrück 2023-2024)/Part I
This mathematical course is for beginners at the University of Osnabrück in the subjects Computer sciences, Cognitive sciences, Physics and System sciences. Of course, everybody interested can study the material. It is an introduction to advanced mathematics on the academic level. It covers logical foundation, sets, mappings, algebraic structures like fields and polynomials, the basics of analysis like sequences, continuity, differentiability, primitive functions and the basics of linear algebra like vector spaces, bases, linear maps, eigenvalues. Enjoy!
To the course.
# Harper College

William Rainey Harper College is a comprehensive community college in Palatine, Illinois, United States. The college was established by referendum in 1965 and opened in September 1967. It is named for Dr. William Rainey Harper, a pioneer in the junior college movement in the United States and the first president of the University of Chicago.

## Resources for Students
### Resources for All

* Student Success

### Courses with Free and Open Content Available on Wikiversity

* CIS 100 - Computer and Digital Literacy (equivalent)
* CIS 101 - Introduction to Computer Information Systems
* CIS 106 - Computer Logic and Programming Technology
* CIS 206 - Applied Programming
* CIS 216 - Applied Object-Oriented Programming
* NET 105 - IT Fundamentals
* NET 122 - Internet Protocols
* NET 201 - Service Desk / ITSM
* NET 231 - Windows Scripting
* NET 260 - Windows Server Administration
* NET 270 - Cisco Networking (CCENT)
* WEB 110 - Internet Fundamentals
* WEB 200 - Web Scripting Foundations

## Resources for Faculty

* OER Adoption
* OER Community of Practice

## See Also

* Wikipedia: Harper College
# Pre-Algebra
## Introduction

Pre-Algebra takes what you learned in elementary school and bridges it into what you will learn in high school (or middle school). Starting with what you learned about basic math, you will be taught concepts that will be applied in later years.

## Topics

Lesson 1 - The Real Number System Lesson 2 - The Variable Lesson 3 - The Equation Lesson 3.1 - Properties of Equality
# Pragmatics/History/Before

* Before
* 1600s
* 1700s
* 1800s
* 1900s
* 1910s
* 1920s
* 1930s
* 1940s
* 1950s
* 1960s
* 1970s
* 1980s
* 1990s
* 2000s
* 2010s
# Praise and Punishment at Wikiversity

Note: This project is intended to evolve over time, and Community involvement is requested. You can help by developing this page in its current context, and by fleshing it out. As the project progresses, I may step in to "change direction" and further the exploratory process here. —The Jade Knight
Over the course of its (relatively brief) history, Wikiversity has seen a certain degree of conflict. One of the problems which occurs over and over again is how to deal with conflict and incivility at Wikiversity. As participants, we frequently see the behavior of other participants as helpful or unhelpful; as "bad" or "good".
This project is intended to explore what we do, and should do, about "good" and "bad" contributions to Wikiversity.

## Tools

Over the course of its history, Wikiversity participants have used a wide variety of tools in defense of their positions. Are all of these tools appropriate? Are some?

### Praise at Wikiversity

What are some of the tools we can use to show we appreciate specific efforts of other participants?
* Thank & compliment others
* Pitching in and helping
* Giving recognition in the form of barnstars, etc.
* Recognizing their long-term contributions with a title like "Catalyst" or "Custodian"

### Punishment at Wikiversity

What are some of the tools which can be used to show we disagree with specific efforts of other participants?
* Talk (and argue) about it
* Revert changes we disagree with
* Call those we disagree with names
* Use sockpuppets, either to harass other users, or to pretend like we have more support than we actually do
* Use straw men and other logical fallacies to try to make opposing viewpoints seem inferior
* Create learning projects which make other viewpoints seem bad
* Modify templates or policies to fit our own viewpoints better
* Request censorship of the opposing material or person (or censor them ourselves)
* Block individuals we disagree with from editing on the project
Note: These lists are intended to be as comprehensive for now. Please help brainstorm, and don't worry about "appropriateness" for the moment. When these lists have filled out a bit, the project will shift direction slightly.