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Show new changes starting from 07:36, 18 May 2024
   
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17 May 2024

N    10:47  Lemniscate of Bernoulli from Tangents to Rectangular Hyperbola‎‎ 2 changes history +1,133 [Prime.mover‎ (2×)]
     
10:47 (cur | prev) +33 Prime.mover talk contribs
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10:32 (cur | prev) +1,100 Prime.mover talk contribs (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...")

16 May 2024

     22:02  Generating Function for Legendre Polynomials‎‎ 4 changes history +481 [Prime.mover‎ (4×)]
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22:02 (cur | prev) 0 Prime.mover talk contribs
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22:02 (cur | prev) 0 Prime.mover talk contribs
     
19:03 (cur | prev) −16 Prime.mover talk contribs
     
15:45 (cur | prev) +497 Prime.mover talk contribs
N    16:31  Bonnet's Recursion Formula diffhist +396 Prime.mover talk contribs (Created page with "== Theorem == <onlyinclude> Let $\map {P_n} x$ denote the Legendre polynomial of order $n$. '''Bonnet's Recursion Formula''' states: :$\paren {n + 1} \map {P_{n + 1} } x = \paren {2 n + 1} x \map {P_n} x - n \map {P_{n - 1} } x$ </onlyinclude> == Proof == {{ProofWanted}} {{Namedfor|Pierre Ossian Bonnet|cat = Bonnet}} Category:Legendre Polynomials")

15 May 2024

     14:17  Euler-Poincaré Characteristic on Homeomorphic Simplical Complexes diffhist −28 Prime.mover talk contribs
N    09:50  Method of Least Squares (Approximation Theory)/Examples/Arbitrary Example 1‎‎ 2 changes history +1,703 [Prime.mover‎ (2×)]
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09:50 (cur | prev) 0 Prime.mover talk contribs
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09:50 (cur | prev) +1,703 Prime.mover talk contribs (Created page with "== Examples of Method of Least Squares == <onlyinclude> Let $B$ be a false balance. $2$ items are weighed on $B$: first individually and then together. The recorded weights are: :$17 \, \mathrm g$ and $25 \, \mathrm g$ for the separate items :$40 \, \mathrm g$ for the combined weight. The '''Definition:Method of Least Square...")

14 May 2024

N    20:49  Principle of Least Action diffhist +1,434 Prime.mover talk contribs (Created page with "== Physical Law == <onlyinclude> The '''Principle of Least Action''' is a physical law which states the following: Let $S$ be a dynamical system moving under conservative forces from point $A$ to point $B$. The motion of $S$ takes place in such a way that the action has a Def...")

13 May 2024

N    16:26  Law of Species‎‎ 4 changes history +1,861 [Prime.mover‎ (4×)]
     
16:26 (cur | prev) +414 Prime.mover talk contribs
     
16:17 (cur | prev) +73 Prime.mover talk contribs
     
16:12 (cur | prev) +21 Prime.mover talk contribs
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16:12 (cur | prev) +1,353 Prime.mover talk contribs (Created page with "== Theorem == <onlyinclude> Let $T$ be a right spherical triangle whose angles are $A$, $B$ and $C$ and whose respective sides opposite those angles are $a$, $b$ and $c$. Let $C$ be the right angle of $T$. Then: :$(1): $A$ and $a$ are of the same species, and $B$ and $B$ are of...")

12 May 2024

 m   10:50  Measurement of Terrestrial Longitude diffhist −8 Prime.mover talk contribs
 m   08:10  Measurement of Terrestrial Latitude/Sun at Noon diffhist −4 Prime.mover talk contribs

11 May 2024

N    08:23  Spherical Coordinate Form of Laplace's Equation diffhist +970 Prime.mover talk contribs (Created page with "== Theorem == <onlyinclude> Laplace's equation can be expressed in spherical coordinates as: :$\dfrac 1 {r^2} \map {\dfrac \partial {\partial r} } {r^2 \dfrac {\partial V} {\partial r} } + \dfrac 1 {r^2 \sin^2 \theta} \dfrac {\partial^2 V} {\partial \phi^2} + \dfrac 1 {r^2 \sin \theta} \map {\dfrac \partial {\partial \theta} } {\sin \theta \dfrac {\partial V} {\partial \theta} } = 0$ </onlyinclude> =...")
     08:05  Kakutani's Fixed Point Theorem‎‎ 2 changes history +109 [Prime.mover‎ (2×)]
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08:05 (cur | prev) +29 Prime.mover talk contribs
     
08:03 (cur | prev) +80 Prime.mover talk contribs
 m   07:59  Second Price Auction has Inefficient Equilibria diffhist +57 Prime.mover talk contribs