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27 April 2024
| N 22:21 | Union of Covers is Cover of Union diffhist +931 CircuitCraft talk contribs (Created page with "== Theorem == Let $\sequence {S_i}_{i \in I}$ be an indexed family of sets. For each $i \in I$, let $\CC_i$ be a cover of $S_i$. Then, $\ds \bigcup_{i \mathop \in I} \CC_i$ is a cover of $\ds \bigcup_{i \mathop \in I} S_i$. == Proof == Let $\ds x \in \bigcup_{i \mathop \in I} S_i$ be arbitrary. By definition of union, there is some $i \in I...") | ||||
| N 20:22 | Inner Jordan Content is Monotone diffhist +1,021 CircuitCraft talk contribs (Created page with "== Theorem == Let $A, B \subseteq \R^n$ be bounded subspaces of Euclidean $n$-space. Suppose that $A \subseteq B$. Then: :$\map {m_*} A \le \map {m_*} B$ where $m_*$ denotes the inner Jordan content. == Proof == Let $R \subseteq \R^n$ be a closed $n$-rectangle that contains $...") | ||||
| N 20:03 | Outer Jordan Content is Monotone diffhist +1,300 CircuitCraft talk contribs (Created page with "== Theorem == Let $A, B \subseteq \R^n$ be bounded subspaces of Euclidean $n$-space. Suppose that $A \subseteq B$. Then: :$\map {m^*} A \le \map {m^*} B$ where $m^*$ denotes the outer Jordan content. == Proof == Let $C$ be a finite covering of $B$ by closed rectangles. Since $A...") | ||||
| N 19:54 | Cover is Cover of Subset diffhist +515 CircuitCraft talk contribs (Created page with "== Theorem == Let $S$ be a set. Let $\CC$ be a cover of $S$. Let $T \subseteq S$ be a subset of $S$. Then, $\CC$ is a cover of $T$. == Proof == By definition of a cover: :$\ds S \subseteq \bigcup C$ But then, by Subset Relation is Transitive: :$\ds T \subseteq \bigcup C$ Therefore, $C$ is a cover of $T$ by...") | ||||
| 19:54 | Subset of Cover is Cover of Subset diffhist +7 CircuitCraft talk contribs (Proofread, category added.) | ||||
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19:38 | Definition:Jordan Content 4 changes history −373 [CircuitCraft (4×)] | |||
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19:38 (cur | prev) 0 CircuitCraft talk contribs (Probably more useful if transcluded.) | |||
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19:38 (cur | prev) +14 CircuitCraft talk contribs | |||
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18:01 (cur | prev) +1 CircuitCraft talk contribs | |||
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18:01 (cur | prev) −388 CircuitCraft talk contribs (I don't remember why I didn't separate out the inner Jordan content. Both sources use that terminology.) | ||||
| N 17:56 | Definition:Inner Jordan Content diffhist +1,273 CircuitCraft talk contribs (Created page with "== Definition == Let $M \subseteq \R^n$ be a bounded subspace of Euclidean $n$-space. Let $R \subseteq \R^n$ be closed $n$-rectangle that contains $M$. Then, the '''inner Jordan content''' of $M$ is defined and denoted as: :$\map {m_*} M = \map V R - \map {m^*} {R \setminus M}$ where: :$\map V R$ denotes: ::$\ds \m...") | ||||
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17:49 | Talk:Limit to Infinity of Binomial Coefficient over Power 2 changes history +965 [Prime.mover; CircuitCraft] | |||
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17:49 (cur | prev) +607 Prime.mover talk contribs | ||||
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17:31 (cur | prev) +358 CircuitCraft talk contribs | ||||
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17:42 | Definition:Outer Jordan Content 2 changes history −380 [CircuitCraft (2×)] | |||
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17:42 (cur | prev) 0 CircuitCraft talk contribs | |||
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17:42 (cur | prev) −380 CircuitCraft talk contribs (The Evolution of Integration - "The outer Jordan measure of M is the glb of the areas of the coverings of M consisting of finite unions of rectangles.") | ||||
| m 17:31 | Limit to Infinity of Binomial Coefficient over Power diffhist 0 CircuitCraft talk contribs (Reverted edits by CircuitCraft (talk) to last revision by Prime.mover) | ||||
| 15:07 | Definition:Category diffhist +40 Usagiop talk contribs | ||||
| 14:31 | Book:David Nelson/The Penguin Dictionary of Mathematics/Fourth Edition diffhist +16 Prime.mover talk contribs | ||||
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14:27 | Fontené Theorems/First 2 changes history +108 [Prime.mover (2×)] | |||
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14:27 (cur | prev) +32 Prime.mover talk contribs | |||
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13:53 (cur | prev) +76 Prime.mover talk contribs | ||||
| m 14:27 | Definition:Concurrent Lines diffhist +131 Prime.mover talk contribs | ||||
| 14:24 | Deletion log Prime.mover talk contribs deleted page Talk:Fontené Theorems (resolved) | ||||
| 14:22 | Tutte's Wheel Theorem/Lemma diffhist +42 Prime.mover talk contribs | ||||
| N 14:20 | Category:Tutte's Wheel Theorem diffhist +46 Prime.mover talk contribs (Created page with "{{Result-category}} Category:Graph Theory") | ||||
| 14:19 | Tutte's Wheel Theorem diffhist +198 Prime.mover talk contribs | ||||
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14:14 | Euler's Homogeneous Function Theorem 2 changes history +18 [Prime.mover (2×)] | |||
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14:14 (cur | prev) −3 Prime.mover talk contribs | |||
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14:14 (cur | prev) +21 Prime.mover talk contribs | ||||
| m 14:12 | Dirichlet's Box Principle diffhist −28 Prime.mover talk contribs | ||||
| 14:11 | Category:Dirichlet's Box Principle diffhist −28 Prime.mover talk contribs | ||||
| 14:10 | Cauchy's Residue Theorem diffhist −28 Prime.mover talk contribs | ||||
| 14:10 | Category:Cauchy's Residue Theorem diffhist −28 Prime.mover talk contribs | ||||
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N 14:09 | Second Fontené Theorem/Also known as 2 changes history +338 [Prime.mover (2×)] | |||
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14:09 (cur | prev) −2 Prime.mover talk contribs | |||
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14:09 (cur | prev) +340 Prime.mover talk contribs (Created page with "== Second Fontené Theorem: Also known as == <onlyinclude> The '''second Fontené theorem''' is also known as a '''Griffiths' theorem''', for {{AuthorRef|John Griffiths}}. </onlyinclude> == Sources == {{MathWorld|Griffiths' Theorem|GriffithsTheorem}} Category:Fontené Theorems") | |||
| N 14:07 | Category:Definitions/Named Definitions/Griffiths, J diffhist +34 Prime.mover talk contribs (Created page with "{{NameCategoryDef|John Griffiths}}") | ||||
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N 14:06 | Mathematician:John Griffiths 3 changes history +640 [Prime.mover (3×)] | |||
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14:06 (cur | prev) +71 Prime.mover talk contribs | ||||
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14:04 (cur | prev) +24 Prime.mover talk contribs | ||||
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14:03 (cur | prev) +545 Prime.mover talk contribs (Created page with "== Mathematician == <onlyinclude> Welsh mathematician best known for his work in analytic geometry. </onlyinclude> == Nationality == Welsh == History == * Born: 1837 in Llangyndeyrn near Kidwelly in Carmarthenshire, Wales * Died: May 1916 in his native village in Llangyndeyrn in Carmarthenshire. == Theorems and Definitions == * Griffiths' Theorem * Griffiths Points == Publications == == Sou...") | |||
| N 14:06 | Category:Named Theorems/Griffiths, J diffhist +31 Prime.mover talk contribs (Created page with "{{NameCategory|John Griffiths}}") | ||||
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N 14:06 | Griffiths' Theorem 3 changes history +118 [Prime.mover (3×)] | |||
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14:06 (cur | prev) +6 Prime.mover talk contribs | ||||
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14:05 (cur | prev) −6 Prime.mover talk contribs | ||||
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14:05 (cur | prev) +118 Prime.mover talk contribs (Redirected page to Fontené Theorems/Second) Tag: New redirect | |||
| 13:58 | Mathematician:Mathematicians/Sorted By Nation/Britain diffhist +43 Prime.mover talk contribs | ||||
| 13:57 | Mathematician:Mathematicians/Sorted By Birth/1801 - 1850 CE diffhist +44 Prime.mover talk contribs | ||||
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13:53 | Fontené Theorems/Third 3 changes history +143 [Prime.mover (3×)] | |||
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13:53 (cur | prev) +77 Prime.mover talk contribs | ||||
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13:29 (cur | prev) +66 Prime.mover talk contribs | ||||
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13:25 (cur | prev) 0 Prime.mover talk contribs | |||
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13:53 | Fontené Theorems/Second 5 changes history +248 [Prime.mover (5×)] | |||
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13:53 (cur | prev) +2 Prime.mover talk contribs | ||||
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13:52 (cur | prev) +73 Prime.mover talk contribs | ||||
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13:51 (cur | prev) +1 Prime.mover talk contribs | ||||
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13:32 (cur | prev) +106 Prime.mover talk contribs | ||||
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