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9 May 2024
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N 09:57 | Euler-Lagrange Equation for Conservative System 3 changes history +1,167 [Prime.mover (3×)] | |||
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09:57 (cur | prev) −1 Prime.mover talk contribs | ||||
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09:57 (cur | prev) −1 Prime.mover talk contribs | |||
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09:56 (cur | prev) +1,169 Prime.mover talk contribs (Created page with "== Theorem == <onlyinclude> Let $P$ be a conservative system composed of $n \in \N$ particles. The Euler-Lagrange equation for $P$ is given by: :$\map {\dfrac \d {\d t} } {\dfrac {\partial L} {\partial \dot q_j} } - \dfrac {\partial \L} {\partial q_j} = 0$ where: :$L$ denotes the Lagrangian of $P$ :$q_j$ denotes the...") | |||
| 08:02 | Integer as Sum of Three Squares diffhist +536 Prime.mover talk contribs | ||||
| N 06:49 | Equivalence of Formulations of Lagrange Interpolation Formula diffhist +870 Prime.mover talk contribs (Created page with "== Theorem == {{TFAE}} === Formulation $1$ === {{:Lagrange Interpolation Formula/Formulation 1}} === Formulation $2$ === {{:Lagrange Interpolation Formula/Formulation 1}} == Proof == {{ProofWanted}} == Sources == * {{BookReference|The Penguin Dictionary of Mathematics|1998|David Nelson|ed = 2nd|edpage = Second Edition|prev = Lagrange Interpolation Formula/Formulation...") | ||||
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N 06:45 | Lagrange Interpolation Formula/Formulation 2 3 changes history +2,227 [Prime.mover (3×)] | |||
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06:45 (cur | prev) +542 Prime.mover talk contribs | ||||
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06:42 (cur | prev) +2 Prime.mover talk contribs | |||
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06:41 (cur | prev) +1,683 Prime.mover talk contribs (Created page with "== Theorem == <onlyinclude> Let $f \R \to \R$ be a real function. Let $f$ have known values $y_i = \map f {x_i}$ for $n \in \set {0, 1, \ldots, n}$. Let a value $y' = \map f {x'}$ be required to be estimated at some $x'$. Then: {{begin-eqn}} {{eqn | l = y' | o = \approx | r = \dfrac {y_1 \paren {x' - x_2} \paren {x' - x_3} \cdots \paren...") | |||
7 May 2024
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N 10:32 | Cauchy-Kovalevsky Theorem 2 changes history +2,222 [Prime.mover (2×)] | |||
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10:32 (cur | prev) +14 Prime.mover talk contribs | ||||
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10:29 (cur | prev) +2,208 Prime.mover talk contribs (Created page with "== Theorem == <onlyinclude> Let $\KK$ denote the field of either the real or complex numbers. Let $V = \KK^m$. Let $W = \KK^n$. Let $A_1, A_2, \ldots, A_{n − 1}$ be analytic functions defined on some neighborhood of $\tuple {0, 0}$ in $W \times V$, taking values in the $m \times m$ Definition:Squar...") | |||
| N 10:31 | Category:Cauchy-Kovalevsky Theorem diffhist +171 Prime.mover talk contribs (Created page with "{{Result-category}} {{Namedfor|Augustin Louis Cauchy|name2 = Sofia Vasilyevna Kovalevskaya|cat = Cauchy|cat2 = Kovalevskaya}} Category:Partial Differential Equations") | ||||
| 06:59 | Atiyah-Singer Index Theorem diffhist +6 Prime.mover talk contribs | ||||
4 May 2024
| N 10:11 | Kinetic Energy of Body at Constant Angular Speed diffhist +996 Prime.mover talk contribs (Created page with "== Theorem == Let $B$ be a body rotating at an angular speed $\omega$ about some axis of rotation $R$. Let $I$ denote the moment of inertia of $B$ about $R$. Then the kinetic energy $T$ of $B$ brought about by this rotation is given by: :$T = \dfrac {I \omega^2} 2$...") | ||||
| N 10:06 | Kinetic Energy of Body at Constant Speed diffhist +925 Prime.mover talk contribs (Created page with "== Theorem == Let $B$ be a body of mass $m$ moving at a speed of $v$. Let $v$ be considerably less than the speed of light. Then the kinetic energy $T$ of $B$ is given by: :$T \approx \dfrac {m v^2} 2$ {{expand|Add a subpage giving the relativistic KE of $B$}} == Proof == {{ProofWanted}} == Sources == * {{BookReference|...") | ||||
| 08:41 | Separable Degree is At Most Equal To Degree diffhist +47 Prime.mover talk contribs | ||||
| 08:36 | Transitivity of Separable Field Extensions diffhist +45 Prime.mover talk contribs | ||||
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08:33 | Separable Elements Form Field 2 changes history −39 [Prime.mover (2×)] | |||
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08:33 (cur | prev) −105 Prime.mover talk contribs | |||
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08:32 (cur | prev) +66 Prime.mover talk contribs | ||||
3 May 2024
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N 23:05 | Equivalence of Definitions of Separable Degree 3 changes history +3,321 [Hbghlyj (3×)] | |||
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23:05 (cur | prev) 0 Hbghlyj talk contribs (To prove two numbers are equal, we only need prove one direction, so "2 implies 1" is not needed) | |||
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23:02 (cur | prev) −23 Hbghlyj talk contribs (Corrected the proof) | ||||
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22:56 (cur | prev) +3,344 Hbghlyj talk contribs (Add proof) | |||
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21:25 | Separable Elements Form Field 2 changes history +471 [Hbghlyj (2×)] | |||
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21:25 (cur | prev) +140 Hbghlyj talk contribs (add a BookReference) | ||||
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19:10 (cur | prev) +331 Hbghlyj talk contribs (Fixed {{NoSources}}) | ||||
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N 21:23 | Transitivity of Separable Field Extensions 2 changes history +756 [Hbghlyj (2×)] | |||
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21:23 (cur | prev) +140 Hbghlyj talk contribs (add a BookReference) | ||||
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19:01 (cur | prev) +616 Hbghlyj talk contribs (Create the page which is a non-existent link in Subextensions of Separable Field Extension are Separable) | |||
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N 19:55 | Separable Degree is At Most Equal To Degree 5 changes history +657 [Hbghlyj (5×)] | |||
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19:55 (cur | prev) −47 Hbghlyj talk contribs (Change $k$ to $F$) | ||||
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19:52 (cur | prev) −11 Hbghlyj talk contribs (Typo) | |||
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19:52 (cur | prev) +142 Hbghlyj talk contribs (Links) | ||||
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19:51 (cur | prev) +4 Hbghlyj talk contribs (Typo) | |||
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19:51 (cur | prev) +569 Hbghlyj talk contribs (Creating the page based on a theorem in Lang's book, which in needed in Transitivity of Separable Field Extensions) | |||