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16 May 2024

			N 23:26		Legendre Symbol/Examples/3 over 7‎‎ 2 changes history +941‎ [Prime.mover‎ (2×)]
					23:26 (cur \| prev) +1‎ Prime.mover talk contribs
			N		23:26 (cur \| prev) +940‎ Prime.mover talk contribs (Created page with "== Example of Use of Legendre Symbol == <onlyinclude> :$\paren {\frac 3 7} = -1$ </onlyinclude> == Proof == From Quadratic Residue Examples: $7$: {{: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...")

			N 23:26		Legendre Symbol/Examples/2 over 7‎‎ 2 changes history +962‎ [Prime.mover‎ (2×)]
			m		23:26 (cur \| prev) +1‎ Prime.mover talk contribs
			N		23:26 (cur \| prev) +961‎ Prime.mover talk contribs (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...")

m 22:58

Derivative of Derivative is Subset of Derivative in T1 Space‎ diffhist −20‎ Prime.mover talk contribs

m 22:22

Integral to Infinity of Sine p x Sine q x over x Squared‎ diffhist +9‎ Prime.mover talk contribs

			m 20:52		Closure of Derivative is Derivative in T1 Space‎‎ 2 changes history +2‎ [Prime.mover‎; Anjo‎]
			m		20:52 (cur \| prev) 0‎ Prime.mover talk contribs
			m		20:18 (cur \| prev) +2‎ Anjo talk contribs

			m 20:43		Length of Basis Representation is Primitive Recursive‎‎ 2 changes history +28‎ [Prime.mover‎; Anjo‎]
			m		20:43 (cur \| prev) +32‎ Prime.mover talk contribs
			m		19:56 (cur \| prev) −4‎ Anjo talk contribs (More Fixes - Removing spaces to compile Regex.)

			20:41		Primitive of Reciprocal of x by Root of a x squared plus b x plus c/Proof 1‎‎ 2 changes history +153‎ [Prime.mover‎; Anjo‎]
					20:41 (cur \| prev) +189‎ Prime.mover talk contribs
			m		19:50 (cur \| prev) −36‎ Anjo talk contribs (More Fixes - Removing Spaces.)

			m 20:36		Primitive of Reciprocal of x by Root of a x squared plus b x plus c‎‎ 2 changes history +6‎ [Prime.mover‎; Anjo‎]
			m		20:36 (cur \| prev) +7‎ Prime.mover talk contribs
			m		19:32 (cur \| prev) −1‎ Anjo talk contribs (Trying to Fix.)

			20:35		Linear Second Order ODE/y'' - 5 y' + 6 y = cos x + sin x‎‎ 3 changes history +5‎ [Prime.mover‎; Anjo‎ (2×)]
			m		20:35 (cur \| prev) −4‎ Prime.mover talk contribs (this is simpler and therefore preferable)
					19:37 (cur \| prev) +2‎ Anjo talk contribs (Extra Fix)
			m		19:28 (cur \| prev) +7‎ Anjo talk contribs (More fixes.)

			19:10		Dixon's Hypergeometric Theorem/Proof 2‎‎ 3 changes history +29‎ [Anjo‎; Prime.mover‎ (2×)]
			m		19:10 (cur \| prev) 0‎ Prime.mover talk contribs (grammatical nicety)
					19:10 (cur \| prev) +29‎ Prime.mover talk contribs (Indeed, there has been a change to MediaWiki s/w where it parses wiki before applying $\LaTeX$. One fix is to put everything between $\LaTeX$ delimiters on one line.)
			m		19:06 (cur \| prev) 0‎ Anjo talk contribs (LaTeX Bug - Problem fix - Recently im seeing this alot in this wiki.)

			N 19:04		Legendre Polynomial/Examples/P1‎‎ 3 changes history +2,278‎ [Prime.mover‎ (3×)]
					19:04 (cur \| prev) +472‎ Prime.mover talk contribs
					18:08 (cur \| prev) +1,030‎ Prime.mover talk contribs
			N		17:37 (cur \| prev) +776‎ Prime.mover talk contribs (Created page with "== Example of Legendre Polynomial == The $1$st '''Legendre polynomial''' is: <onlyinclude> :$\map {P_1} x = x$ </onlyinclude> == Proof == {{ProofWanted\|expand Generating Function for Legendre Polynomials}} == Sources == * {{BookReference\|The Penguin Dictionary of Mathematics\|1998\|David Nelson\|ed = 2nd\|edpage = Second Edition\|prev = Legendre Polynomial/Examples/P0\|next = Legendre Polynomial/Ex...")

			N 19:04		Legendre Polynomial/Examples/P0‎‎ 3 changes history +1,856‎ [Prime.mover‎ (3×)]
			m		19:04 (cur \| prev) +482‎ Prime.mover talk contribs
					17:51 (cur \| prev) +581‎ Prime.mover talk contribs
			N		17:36 (cur \| prev) +793‎ Prime.mover talk contribs (Created page with "== Example of Legendre Polynomial == The zeroth '''Legendre polynomial''' is: <onlyinclude> :$\map {P_0} x = 1$ </onlyinclude> == Proof == {{ProofWanted\|expand Generating Function for Legendre Polynomials}} == Sources == * {{BookReference\|The Penguin Dictionary of Mathematics\|1998\|David Nelson\|ed = 2nd\|edpage = Second Edition\|prev = Legendre Polynomial/Examples\|next = Le...")

			N 18:41		Legendre Polynomial/Examples/P4‎‎ 2 changes history +1,101‎ [Prime.mover‎ (2×)]
					18:41 (cur \| prev) +734‎ Prime.mover talk contribs
			N		17:39 (cur \| prev) +367‎ Prime.mover talk contribs (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")

			N 18:35		Legendre Polynomial/Examples/P2‎‎ 6 changes history +1,471‎ [Prime.mover‎ (6×)]
			m		18:35 (cur \| prev) +30‎ Prime.mover talk contribs
					18:27 (cur \| prev) +21‎ Prime.mover talk contribs
			m		18:25 (cur \| prev) −14‎ Prime.mover talk contribs
			m		18:24 (cur \| prev) −9‎ Prime.mover talk contribs
					18:20 (cur \| prev) +629‎ Prime.mover talk contribs
			N		17:38 (cur \| prev) +814‎ Prime.mover talk contribs (Created page with "== Example of Legendre Polynomial == The $2$nd '''Legendre polynomial''' is: <onlyinclude> :$\map {P_2} x = \dfrac 1 2 \paren {3 x^2 - 1}$ </onlyinclude> == Proof == {{ProofWanted\|expand Generating Function for Legendre Polynomials}} == Sources == * {{BookReference\|The Penguin Dictionary of Mathematics\|1998\|David Nelson\|ed = 2nd\|edpage = Second Edition\|prev = Legendre Polynomial/Examples/P1\|n...")

			N 18:35		Legendre Polynomial/Examples/P3‎‎ 3 changes history +1,049‎ [Prime.mover‎ (3×)]
					18:35 (cur \| prev) +30‎ Prime.mover talk contribs
					18:32 (cur \| prev) +660‎ Prime.mover talk contribs
			N		17:39 (cur \| prev) +359‎ Prime.mover talk contribs (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")

			N 17:55		Length of Legendre Polynomial‎‎ 2 changes history +3,158‎ [Prime.mover‎ (2×)]
			m		17:55 (cur \| prev) +1‎ Prime.mover talk contribs
			N		17:24 (cur \| prev) +3,157‎ Prime.mover talk contribs (Created page with "== Theorem == <onlyinclude> Let $\map {P_n} x$ denote the '''Legendre polynomial of order $n$'''. Let $\norm {\map {P_n} x}$ denote the '''length''' of $\map {P_n} x$. Then: :$\norm {\map {P_n} x} := \sqrt {\frac 2 {2 n + 1} }$ </onlyinclude> == Proof == Applying Bonnet's Recursion Formula for $n - 1$: :$n \map {P_n} x = \paren {2 n - 1} x \map {P_{n - 1} } x - \paren {n - 1} \map {...")

m 15:57

GCD with Prime‎ diffhist +8‎ Prime.mover talk contribs

			m 15:56		Gauss's Lemma (Number Theory)‎‎ 2 changes history +51‎ [Robkahn131‎; Prime.mover‎]
			m		15:56 (cur \| prev) +5‎ Prime.mover talk contribs (Quick and easy solution is just to put a space between the primes. Rendering under $\LateX$ automatically spaces the output appropriately.)
			m		14:41 (cur \| prev) +46‎ Robkahn131 talk contribs

			m 15:33		Solution to Differential Equation/Examples/Arbitrary Order 2 Degree 3 ODE‎‎ 2 changes history +3‎ [Prime.mover‎ (2×)]
			m		15:33 (cur \| prev) +1‎ Prime.mover talk contribs
			m		15:33 (cur \| prev) +2‎ Prime.mover talk contribs

m 15:32

Solution to Differential Equation/Examples/Arbitrary Order 2 ODE‎ diffhist +3‎ Prime.mover talk contribs

			m 15:20		Linear Second Order ODE/y'' - 5 y' + 6 y = 0‎‎ 2 changes history +19‎ [Prime.mover‎ (2×)]
			m		15:20 (cur \| prev) +1‎ Prime.mover talk contribs
			m		15:12 (cur \| prev) +18‎ Prime.mover talk contribs

			m 09:13		Second Supplement to Law of Quadratic Reciprocity‎‎ 2 changes history +7‎ [Robkahn131‎; Prime.mover‎]
			m		09:13 (cur \| prev) −31‎ Prime.mover talk contribs (sorted)
			m		01:09 (cur \| prev) +38‎ Robkahn131 talk contribs

m 09:12

First Supplement to Law of Quadratic Reciprocity‎ diffhist −30‎ Prime.mover talk contribs (sorted)

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			20:35		Linear Second Order ODE/y'' - 5 y' + 6 y = cos x + sin x‎‎ 3 changes history +5‎ [Prime.mover‎; Anjo‎ (2×)]
			m		20:35 (cur \| prev) −4‎ Prime.mover talk contribs (this is simpler and therefore preferable)
					19:37 (cur \| prev) +2‎ Anjo talk contribs (Extra Fix)
			m		19:28 (cur \| prev) +7‎ Anjo talk contribs (More fixes.)

			19:10		Dixon's Hypergeometric Theorem/Proof 2‎‎ 3 changes history +29‎ [Anjo‎; Prime.mover‎ (2×)]
			m		19:10 (cur \| prev) 0‎ Prime.mover talk contribs (grammatical nicety)
					19:10 (cur \| prev) +29‎ Prime.mover talk contribs (Indeed, there has been a change to MediaWiki s/w where it parses wiki before applying $\LaTeX$. One fix is to put everything between $\LaTeX$ delimiters on one line.)
			m		19:06 (cur \| prev) 0‎ Anjo talk contribs (LaTeX Bug - Problem fix - Recently im seeing this alot in this wiki.)

			N 19:04		Legendre Polynomial/Examples/P1‎‎ 3 changes history +2,278‎ [Prime.mover‎ (3×)]
					19:04 (cur \| prev) +472‎ Prime.mover talk contribs
					18:08 (cur \| prev) +1,030‎ Prime.mover talk contribs
			N		17:37 (cur \| prev) +776‎ Prime.mover talk contribs (Created page with "== Example of Legendre Polynomial == The $1$st '''Legendre polynomial''' is: <onlyinclude> :$\map {P_1} x = x$ </onlyinclude> == Proof == {{ProofWanted\|expand Generating Function for Legendre Polynomials}} == Sources == * {{BookReference\|The Penguin Dictionary of Mathematics\|1998\|David Nelson\|ed = 2nd\|edpage = Second Edition\|prev = Legendre Polynomial/Examples/P0\|next = Legendre Polynomial/Ex...")

			N 19:04		Legendre Polynomial/Examples/P0‎‎ 3 changes history +1,856‎ [Prime.mover‎ (3×)]
			m		19:04 (cur \| prev) +482‎ Prime.mover talk contribs
					17:51 (cur \| prev) +581‎ Prime.mover talk contribs
			N		17:36 (cur \| prev) +793‎ Prime.mover talk contribs (Created page with "== Example of Legendre Polynomial == The zeroth '''Legendre polynomial''' is: <onlyinclude> :$\map {P_0} x = 1$ </onlyinclude> == Proof == {{ProofWanted\|expand Generating Function for Legendre Polynomials}} == Sources == * {{BookReference\|The Penguin Dictionary of Mathematics\|1998\|David Nelson\|ed = 2nd\|edpage = Second Edition\|prev = Legendre Polynomial/Examples\|next = Le...")

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16 May 2024

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