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17 May 2024
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N 10:47 | Lemniscate of Bernoulli from Tangents to Rectangular Hyperbola 2 changes history +1,133 [Prime.mover (2×)] | |||
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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
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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 | |||
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19:03 (cur | prev) −16 Prime.mover talk contribs | ||||
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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 |
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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
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N 16:26 | Law of Species 4 changes history +1,861 [Prime.mover (4×)] | |||
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16:26 (cur | prev) +414 Prime.mover talk contribs | ||||
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16:17 (cur | prev) +73 Prime.mover talk contribs | ||||
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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> =...") |
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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 | |||
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08:03 (cur | prev) +80 Prime.mover talk contribs |
m 07:59 | Second Price Auction has Inefficient Equilibria diffhist +57 Prime.mover talk contribs |