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19 April 2024
m 18:54 | Pi is Irrational/Proof 2 diffhist +1,315 Robkahn131 talk contribs |
N 18:52 | Pi is Irrational/Proof 2/Lemma diffhist +6,014 Robkahn131 talk contribs (Created page with "== Pi is Irrational: Lemma == <onlyinclude> Let $n \in \Z_{> 0}$ be a positive integer. Let it be supposed that $\pi$ is irrational, so that: :$\pi = \dfrac p q$ where $p$ and $q$ are integers and $q \ne 0$. Let $A_n$ be defined as: :$\ds A_n = \frac {q^n} {n!} \int_0^\pi \paren {x \paren {\pi - x} }^n \sin x \rd x$ Then: :$A_n = \paren {4 n - 2} q A_{n - 1} - p^2 A_{n - 2}$...") |
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N 18:37 | Whewell Equation for Catenary 4 changes history +3,483 [Robkahn131; Prime.mover (3×)] | |||
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16:51 (cur | prev) +2,682 Prime.mover talk contribs (Created page with "== Theorem == <onlyinclude> The '''catenary''' can be described by the Whewell equation: :$s = a \tan \psi$ where: :$s$ is the arc length :$\psi$ is the turning angle :$a$ is a constant. </onlyinclude> == Proof == By definition, the '''catenary''' is the shape made by an ideally D...") |
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18:30 | Pi Squared is Irrational/Proof 1 7 changes history −3,675 [Robkahn131 (3×); Prime.mover (4×)] | |||
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14:22 | Equation of Catenary/Cartesian 5 changes history +28 [Prime.mover (5×)] | |||
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m 13:59 | Equation of Catenary/Cartesian/Formulation 1/Proof 2 changes history +12 [Prime.mover (2×)] | |||
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m 13:59 | Equation of Catenary/Cartesian/Formulation 1 2 changes history +22 [Prime.mover (2×)] | |||
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m 13:44 | Cycloid has Tautochrone Property diffhist +10 Prime.mover talk contribs |
m 13:41 | Catenary is Symmetric about Y-Axis diffhist +40 Prime.mover talk contribs |
13:38 | Equation of Catenary/Cartesian/Formulation 2 diffhist +20 Prime.mover talk contribs |
13:38 | Equation of Catenary/Cartesian/Formulation 2/Proof diffhist +20 Prime.mover talk contribs |
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13:25 | (Move log) [Prime.mover (5×)] | |||
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13:25 Prime.mover talk contribs moved page Equation of Catenary/Formulation 2/Proof to Equation of Catenary/Cartesian/Formulation 2/Proof | ||||
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13:25 Prime.mover talk contribs moved page Equation of Catenary/Formulation 2 to Equation of Catenary/Cartesian/Formulation 2 | ||||
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13:25 Prime.mover talk contribs moved page Equation of Catenary/Formulation 1/Proof to Equation of Catenary/Cartesian/Formulation 1/Proof | ||||
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13:25 Prime.mover talk contribs moved page Equation of Catenary/Formulation 1 to Equation of Catenary/Cartesian/Formulation 1 | ||||
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13:25 Prime.mover talk contribs moved page Equation of Catenary to Equation of Catenary/Cartesian |
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13:25 | User:Leigh.Samphier/Topology/Composite Localic Mapping is Localic Mapping 4 changes history +261 [Leigh.Samphier (4×)] | |||
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13:25 (cur | prev) −6 Leigh.Samphier talk contribs | ||||
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12:00 | User:Leigh.Samphier/CategoryTheory/Frame of Open Sets Functor is Contravariant diffhist +35 Leigh.Samphier talk contribs |
m 10:48 | Equivalence of Definitions of Curvature/Whewell Form to Parametric Polar Form diffhist +9 Prime.mover talk contribs |
m 10:47 | Equivalence of Definitions of Curvature/Whewell Form to Cartesian Form diffhist +2 Prime.mover talk contribs |
10:40 | User:Leigh.Samphier/Topology/Identity Mapping is Localic Mapping diffhist −32 Leigh.Samphier talk contribs |
10:22 | Euler's Number is Transcendental diffhist +106 Prime.mover talk contribs |
N 10:19 | Euler's Number is Transcendental/Proof 3 diffhist +294 Prime.mover talk contribs (Created page with "== Theorem == {{:Euler's Number is Transcendental}} == Proof == <onlyinclude> {{ProofWanted}} {{qed}} </onlyinclude> == Historical Note == {{:Euler's Number is Transcendental/Historical Note}} Category:Euler's Number is Transcendental") |
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N 08:16 | Pi Squared is Irrational/Proof 1/Lemma 4 changes history +6,025 [Robkahn131 (2×); Prime.mover (2×)] | |||
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08:16 (cur | prev) +826 Prime.mover talk contribs (Taken some liberties with structure and presentation. Feel free to continue to tweak it for ease of following it.) | ||||
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04:26 (cur | prev) +5,216 Robkahn131 talk contribs (Created page with "== Pi Squared is Irrational/Proof 1: Lemma == <onlyinclude> Let $n \in \Z_{> 0}$ be a positive integer. Let $A_n$ be defined as: :$\ds A_n = \frac {q^n} {n!} \int_0^\pi \paren {x \paren {\pi - x} }^n \sin x \rd x$ Let $\pi^2 = \dfrac p q$ where $p$ and $q$ are integers and $q \ne 0$. Note that $\paren {q \pi}^2 = q^2 \paren {\dfrac p q} = p q$ is an integer. Then: :$A_n = \paren {4 n -...") |
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m 07:30 | Pi Squared is Irrational 2 changes history +41 [Robkahn131; Prime.mover] | |||
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m 07:30 | Pi is Irrational/Proof 1 diffhist +1 Prime.mover talk contribs |
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m 07:28 | Pi is Irrational 2 changes history +49 [Robkahn131; Prime.mover] | |||
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