All public logs
Jump to navigation
Jump to search
Combined display of all available logs of ProofWiki. You can narrow down the view by selecting a log type, the username (case-sensitive), or the affected page (also case-sensitive).
- 07:44, 19 May 2024 Prime.mover talk contribs created page Definition:Bar (Mechanics) (Created page with "== Definition == <onlyinclude> A '''bar''' is a straight rigid body whose length in one dimension is such that its width in the other two dimensions is negligible. </onlyinclude> == Also see == * Definition:Ideal (Physics) {{Link-to-category|Ideals in Physics|ideals in ph...")
- 00:57, 19 May 2024 Prime.mover talk contribs created page User:Pepa (Creating user page for new user.)
- 00:57, 19 May 2024 Prime.mover talk contribs created page User talk:Pepa (Welcome!)
- 00:57, 19 May 2024 User account Pepa talk contribs was created by Prime.mover talk contribs and password was sent by email
- 12:19, 18 May 2024 Prime.mover talk contribs created page Category:Levers (Created page with "{SubjectCategory|Lever}} Category:Machines Category:Mechanics")
- 12:18, 18 May 2024 Prime.mover talk contribs created page Category:Definitions/Levers (Created page with "{{DefinitionCategory|def = Lever|Machines|Mechanics}}")
- 12:18, 18 May 2024 Prime.mover talk contribs created page Definition:Lever (Created page with "== Definition == <onlyinclude> A '''lever''' is a rigid bar $B$ which is pivoted at a point $F$ so that a force applied at one point $E$ of $B$ is transferred to a load at another point $L$ of $B$ so as to generate a mechanical advantage. </onlyinclude> === D...")
- 09:03, 18 May 2024 Prime.mover talk contribs created page Definition:Leslie Matrix/Historical Note (Created page with "== Historical Note on Leslie Matrix == <onlyinclude> The concept of the '''Leslie matrix''' was developed by {{AuthorRef|Patrick Holt Leslie}} in $1945$. It is used to model population growth, where the $a_i$ describe birth rates, and the $b_i$ survival rates associated with different age groups in a population. </onlyinclude> == Sources == * {{BookReference|The Penguin Dictionary of Mathematics|1998|David Nels...")
- 08:59, 18 May 2024 Prime.mover talk contribs created page Category:Leslie Matrices (Created page with "{{SubjectCategory|Leslie Matrix}} Category:Matrices")
- 08:59, 18 May 2024 Prime.mover talk contribs created page Category:Definitions/Leslie Matrices (Created page with "{{DefinitionCategory|def = Leslie Matrix|Matrices}}")
- 08:58, 18 May 2024 Prime.mover talk contribs created page Definition:Leslie Matrix (Created page with "== Definition == <onlyinclude> A '''Leslie matrix''' is a square matrix of the form: $\quad \begin {matrix} a_1 & a_2 & \cdots & a_{n - 1} & a_n \\ b_1 & 0 & \cdots & 0 & 0 \\ 0 & b_2 & \cdots & 0 & 0 \\ \vdots & \vdots & \ddots & \vdots & \vdots \\ 0 & 0 & \cdots & b_{n - 1} & 0 \end {matrix}$ </onlyinclude> == Also see == {{Link-to-category|Leslie Matrices|Leslie matrices}} {{NamedforDef|Patrick Holt Leslie|...")
- 08:42, 18 May 2024 Prime.mover talk contribs created page Category:Definitions/Named Definitions/Leslie (Created page with "{{NameCategoryDef|Patrick Holt Leslie}}")
- 08:39, 18 May 2024 Prime.mover talk contribs created page Mathematician:P.H. Leslie (Redirected page to Mathematician:Patrick Holt Leslie) Tag: New redirect
- 08:38, 18 May 2024 Prime.mover talk contribs created page Mathematician:Patrick Holt Leslie (Created page with "== Mathematician == <onlyinclude> Scottish physiologist and statistician who introduced the concept of the Leslie model. </onlyinclude> == Nationality == Scottish == History == * Born: 1900 in Edinburgh, Scotland * Died: 1974 == Theorems and Definitions == * Leslie Matrix * Leslie Model {{NameCategoryDefLink|Leslie}} == Publications == * {{citation|date = 1945|title = The use...")
- 08:03, 18 May 2024 Prime.mover talk contribs created page Definition:Rectangular Matrix (Created page with "== Definition == <onlyinclude> A matrix which is specifically not a '''square matrix''' is called a '''rectangular matrix'''. </onlyinclude> == Also see == {{Link-to-category|matrices}} Category:Definitions/Matrices")
- 07:50, 18 May 2024 Prime.mover talk contribs created page Category:Arc Length of Curve in Polar Coordinates (Created page with "{{Result-category}} Category:Arc Length Category:Polar Coordinates")
- 07:48, 18 May 2024 Prime.mover talk contribs created page Arc Length of Curve in Polar Coordinates as Function of Angle (Redirected page to Arc Length of Curve in Polar Coordinates/Function of Angle) Tag: New redirect
- 07:48, 18 May 2024 Prime.mover talk contribs created page Arc Length of Curve in Polar Coordinates as Function of Radius (Redirected page to Arc Length of Curve in Polar Coordinates/Function of Radius) Tag: New redirect
- 07:47, 18 May 2024 Prime.mover talk contribs created page Arc Length of Curve in Polar Coordinates/Function of Angle (Created page with "== Theorem == Let $C$ be a curve embedded in a polar plane. <onlyinclude> Let the radial coordinate $r$ of $C$ be defined as a function of the angular coordinate $\theta$: :$r = \map f \theta$ The '''arc length''' $s$ of $C$ between $\theta = \alpha$ and $\theta = \beta$ is defined as: :$\ds s := \in...")
- 07:38, 18 May 2024 Prime.mover talk contribs moved page Arc Length of Curve in Polar Coordinates to Arc Length of Curve in Polar Coordinates/Function of Radius
- 07:38, 18 May 2024 Prime.mover talk contribs created page Arc Length of Curve in Polar Coordinates (Created page with "== Theorem == <onlyinclude> Let $C$ be a curve embedded in a polar plane. Let the angular coordinate $\theta$ of $C$ be defined as a function of the radial coordinate $r$: :$\theta = \map f r$ The '''arc length''' $s$ of $C$ between $r = u$ and $r = v$ is defined as: :$\ds s := \int_u^v \sqrt {1 + r^...")
- 10:51, 17 May 2024 Prime.mover talk contribs created page Definition:Arc Length/Intuition (Created page with "== Definition == <onlyinclude> The '''arc length''' of a curve $C$ can be thought of as how long the graph of the function of $C$ would be if cut at the points $\tuple {a, \map f a}$ and $\tuple {b, \map f b}$ and then straightened out. </onlyinclude> == Also see == {{Link-to-category|Arc Length|arc length}} Category:Definitions/Arc Length")
- 10:47, 17 May 2024 Prime.mover talk contribs created page Definition:Length (Linear Measure)/Vector (Created page with "== Definition == <onlyinclude> Let $A$ and $B$ be points in a real Euclidean space $\R^n$. Let $\mathbf a$ and $\mathbf b$ be the position vectors of $A$ and $B$ respectively. The '''length''' of the straight line $AB$ is given by: :$\map L {AB} := \size {\mathbf a - \mathbf b}$ where: :$\mathbf a - \mathbf b$ denot...")
- 10:32, 17 May 2024 Prime.mover talk contribs created page Lemniscate of Bernoulli from Tangents to Rectangular Hyperbola (Created page with "== Theorem == <onlyinclude> Let $\KK$ be a rectangular hyperbola. Let $\LL$ be the locus of the foot of the perpendicular from the origin to the tangents to $\KK$. Then $\LL$ is the '''lemniscate of Bernoulli'''. </onlyinclude> == Proof == :File:Lemniscat...")
- 09:45, 17 May 2024 Prime.mover talk contribs created page Definition:Lemniscate of Bernoulli/Also known as (Created page with "== Lemniscate of Bernoulli: Also known as == <onlyinclude> The '''lemniscate of Bernoulli''' is also known just as the '''lemniscate'''. However, there are several curves referred to as '''lemniscates''', so the full form is to be used on {{ProofWiki}} where appropriate. </onlyinclude> == Sources == * {{BookReference|The Penguin Dictionary...")
- 09:30, 17 May 2024 Prime.mover talk contribs uploaded File:Lemniscate-by-Tangents-to-Hyperbola.png
- 09:30, 17 May 2024 Prime.mover talk contribs created page File:Lemniscate-by-Tangents-to-Hyperbola.png
- 09:08, 17 May 2024 Prime.mover talk contribs uploaded a new version of File:LemniscateOfBernoulli-alsodefinedas.png
- 08:54, 17 May 2024 Prime.mover talk contribs deleted page Definition:Lemniscate of Bernoulli/Linguistic Note (content was: "#REDIRECT Definition:Lemniscate/Linguistic Note", and the only contributor was "Prime.mover" (talk))
- 08:42, 17 May 2024 Prime.mover talk contribs created page Definition:Lemniscate (Created page with "== Definition == <onlyinclude> === Lemniscate of Bernoulli === {{:Definition:Lemniscate of Bernoulli/Geometric Definition}}</onlyinclude> == Also see == {{Link-to-category|lemniscates}} == Linguistic Note == {{:Definition:Lemniscate/Linguistic Note}} Category:Definitions/Lemniscates")
- 08:41, 17 May 2024 Prime.mover talk contribs moved page Definition:Lemniscate of Bernoulli/Linguistic Note to Definition:Lemniscate/Linguistic Note
- 08:37, 17 May 2024 Prime.mover talk contribs deleted page Talk:Slope of Lemniscate of Bernoulli at Origin (resolved)
- 08:37, 17 May 2024 Prime.mover talk contribs deleted page Talk:Slope of Tangent to Lemniscate at Origin (content was: "#REDIRECT Talk:Slope of Lemniscate of Bernoulli at Origin", and the only contributor was "Prime.mover" (talk))
- 08:37, 17 May 2024 Prime.mover talk contribs deleted page Slope of Tangent to Lemniscate at Origin (content was: "#REDIRECT Slope of Lemniscate of Bernoulli at Origin", and the only contributor was "Prime.mover" (talk))
- 08:34, 17 May 2024 Prime.mover talk contribs moved page Slope of Tangent to Lemniscate at Origin to Slope of Lemniscate of Bernoulli at Origin
- 08:34, 17 May 2024 Prime.mover talk contribs moved page Talk:Slope of Tangent to Lemniscate at Origin to Talk:Slope of Lemniscate of Bernoulli at Origin
- 08:24, 17 May 2024 Prime.mover talk contribs created page Category:Lemniscate of Bernoulli (Created page with "{{SubjectCategory}} Category:Lemniscates Category:Examples of Curves")
- 08:23, 17 May 2024 Prime.mover talk contribs created page Category:Definitions/Lemniscate of Bernoulli (Created page with "{{DefinitionCategory|Lemniscates|Examples of Curves|Named Definitions/Bernoulli, Jacob}}")
- 08:14, 17 May 2024 Prime.mover talk contribs created page Leibniz Theorem (Redirected page to Leibniz's Rule) Tag: New redirect
- 08:14, 17 May 2024 Prime.mover talk contribs created page Leibniz's Theorem (Redirected page to Leibniz's Rule) Tag: New redirect
- 08:02, 17 May 2024 Prime.mover talk contribs created page Book:Article/Gottfried Wilhelm von Leibniz/Nova methodus pro maximis et minimis (Created page with "{{ArticleDetail|title = Nova methodus pro maximis et minimis|date = 1684|trans = A New Method for Determining Maxima and Minima|journal = Acta Eruditorum | volume = 1684 | issue = $\text{X}$ | startpage = 467 | endpage = 473|author = Gottfried Wilhelm von Leibniz}} == Description == This contains the discovery of calculus. == Sources == * {{BookReference|The Penguin Dictionary of Mathematics|1998|David Nelson|ed = 2nd|edpage = Second Edition|prev = Mathematician:Got...")
- 23:26, 16 May 2024 Prime.mover talk contribs created page Legendre Symbol/Examples/2 over 7 (Created page with "== Example of Use of Legendre Symbol == <onlyinclude> :$\paren {\frac 2 7} = 1$ </onlyinclude> == Proof == From Quadratic Residue Examples: $7$: {{:Quadratic Residue/Examples/7}} That is, $2$ is a quadratic residue of $7$: :$2^2 \equiv 4 \pmod 7$ Hence the result by definition of '''Legendre symbol'''. {{qed}} == Sources == * {{BookRefere...")
- 23:26, 16 May 2024 Prime.mover talk contribs created page Legendre Symbol/Examples/3 over 7 (Created page with "== Example of Use of Legendre Symbol == <onlyinclude> :$\paren {\frac 3 7} = -1$ </onlyinclude> == Proof == From Quadratic Residue Examples: $: {{:Quadratic Residue/Examples/7}} That is, $3$ is not a quadratic residue of $7$. Hence the result by definition of '''Legendre symbol'''. {{qed}} == Sources == * {{BookReference|The Penguin Dic...")
- 23:18, 16 May 2024 Prime.mover talk contribs created page Category:Examples of Use of Legendre Symbol (Created page with "{{ExampleCategory|def = Legendre Symbol}} Category:Legendre Symbol")
- 23:18, 16 May 2024 Prime.mover talk contribs created page Legendre Symbol/Examples (Created page with "== Examples of Use of Legendre Symbol == <onlyinclude> === Example: $\paren {\frac 2 7}$ === {{:Legendre Symbol/Examples/2 over 7}} === Example: $\paren {\frac 3 7}$ === {{:Legendre Symbol/Examples/3 over 7}}</onlyinclude> Category:Examples of Use of Legendre Symbol")
- 23:10, 16 May 2024 Prime.mover talk contribs created page Definition:Quadratic Residue/Warning (Created page with "== Quadratic Residue: Warning == <onlyinclude> The definition of the '''quadratic residue''' must be qualified as follows: :The case where $a = 0$ has been excluded from the definition, despite the fact that $0 = 0^2$ and so is definitely a square. :The case where $p = 2$ is also excluded, where the only non-zero '''Definition:Quadratic Residue|...")
- 20:58, 16 May 2024 Prime.mover talk contribs created page Definition:Legendre Symbol/Also presented as (Created page with "== Legendre Symbol: Also presented as == <onlyinclude> For a given $p$, the '''Legendre symbol''' can be treated as a mapping: :$f_p: \Z \to \set {-1, 0, 1}$ </onlyinclude> == Sources == {{SourceReview}} * {{BookReference|The Penguin Dictionary of Mathematics|1998|David Nelson|ed = 2nd|edpage = Second Edition|prev = Symbols:P/Associated Legendre Function|next = Mathematician:Gottfrie...")
- 20:57, 16 May 2024 Prime.mover talk contribs created page Definition:Legendre Symbol/Also known as (Created page with "== Legendre Symbol: Also known as == <onlyinclude> The '''Legendre symbol''' for fixed prime $p$ is also known as the '''quadratic character''' modulo $p$. </onlyinclude> == Sources == {{SourceReview}} * {{BookReference|The Penguin Dictionary of Mathematics|1998|David Nelson|ed = 2nd|edpage = Second Edition|prev = Symbols:P/Associated Legendre...")
- 17:39, 16 May 2024 Prime.mover talk contribs created page Legendre Polynomial/Examples/P4 (Created page with "== Example of Legendre Polynomial == The $4$th '''Legendre polynomial''' is: <onlyinclude> :$\map {P_4} x = \dfrac 1 8 \paren {35 x^4 - 30 x^2 + 3}$ </onlyinclude> == Proof == {{ProofWanted|expand Generating Function for Legendre Polynomials}} Category:Examples of Legendre Polynomials")
- 17:39, 16 May 2024 Prime.mover talk contribs created page Legendre Polynomial/Examples/P3 (Created page with "== Example of Legendre Polynomial == The $3$rd '''Legendre polynomial''' is: <onlyinclude> :$\map {P_3} x = \dfrac 1 2 \paren {5 x^3 - 3 x}$ </onlyinclude> == Proof == {{ProofWanted|expand Generating Function for Legendre Polynomials}} Category:Examples of Legendre Polynomials")