User contributions for Leigh.Samphier
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16 June 2024
- 22:3622:36, 16 June 2024 diff hist −4 User:Leigh.Samphier/Matroids/Dual Matroid is Matroid No edit summary current
- 22:3622:36, 16 June 2024 diff hist −130 User:Leigh.Samphier/Matroids/Dual Matroid is Matroid No edit summary
- 22:3122:31, 16 June 2024 diff hist +1,195 User:Leigh.Samphier/Matroids/Dual Matroid is Matroid No edit summary
- 11:3911:39, 16 June 2024 diff hist +41 User:Leigh.Samphier/Matroids/Definition:Dual Matroid No edit summary current
- 11:3511:35, 16 June 2024 diff hist +707 N User:Leigh.Samphier/Matroids/Dual Matroid is Matroid Created page with "{{Proofread}} == Theorem == Let $M = \struct {S, \mathscr I}$ be a matroid. Let $\mathscr B$ be the set of bases of the matroid $M$. Then the dual $M^*$ of $M$ is a matroid. == Proof== {{qed}} == Sources == * {{BookReference|Matroid Theory|1976|Dominic Welsh|prev = |next =}} Chapter $2.$ $\S 1.$ The Dual Mat..."
- 11:3211:32, 16 June 2024 diff hist +67 User:Leigh.Samphier/Matroids No edit summary current
- 11:3111:31, 16 June 2024 diff hist +308 User:Leigh.Samphier/Matroids/Definition:Dual Matroid No edit summary
- 11:2511:25, 16 June 2024 diff hist +657 N User:Leigh.Samphier/Matroids/Definition:Dual Matroid Created page with "== Definition == Let $M = \struct {S, \mathscr I}$ be a matroid. Let $\mathscr B$ be the set of bases of the matroid $M$. The '''dual''' of $M$, denoted $M^* = \struct{S, \mathscr I^*}$, is the matroid whose bases is the set: :$\mathscr B^* = \set{S \setminus B :..."
15 June 2024
- 13:5413:54, 15 June 2024 diff hist 0 User:Leigh.Samphier/Matroids No edit summary
- 13:4613:46, 15 June 2024 diff hist 0 User:Leigh.Samphier/Matroids/Equivalence of Definitions of Matroid Base Axioms/Formulation 1 Iff Formulation 4 No edit summary current
- 13:4513:45, 15 June 2024 diff hist 0 User:Leigh.Samphier/Matroids No edit summary
- 13:4513:45, 15 June 2024 diff hist 0 m User:Leigh.Samphier/Matroids/Matroid Bases Satisfy Formulation 4 Base Axiom Leigh.Samphier moved page User:Leigh.Samphier/Matroids/Matroid Bases satisfy Formulation 4 Base Axiom to User:Leigh.Samphier/Matroids/Matroid Bases Satisfy Formulation 4 Base Axiom current
- 13:4513:45, 15 June 2024 diff hist −13 User:Leigh.Samphier/Matroids/Equivalence of Definitions of Matroid Base Axioms/Formulation 1 Iff Formulation 4 No edit summary
- 13:4213:42, 15 June 2024 diff hist −1,623 User:Leigh.Samphier/Matroids/Equivalence of Definitions of Matroid Base Axioms/Formulation 1 Iff Formulation 4 No edit summary
- 13:3913:39, 15 June 2024 diff hist −328 User:Leigh.Samphier/Matroids/Matroid Bases Satisfy Formulation 4 Base Axiom No edit summary
- 13:3813:38, 15 June 2024 diff hist +716 User:Leigh.Samphier/Matroids/Matroid Bases Satisfy Formulation 4 Base Axiom No edit summary
- 13:3613:36, 15 June 2024 diff hist 0 User:Leigh.Samphier/Matroids No edit summary
- 13:3613:36, 15 June 2024 diff hist 0 m User:Leigh.Samphier/Matroids/Matroid Bases Satisfy Formulation 4 Base Axiom Leigh.Samphier moved page User:Leigh.Samphier/Matroids/Matroid Bases satisfy Formulation 5 Base Axiom to User:Leigh.Samphier/Matroids/Matroid Bases satisfy Formulation 4 Base Axiom
- 13:2613:26, 15 June 2024 diff hist +120 User:Leigh.Samphier/Matroids/Matroid Bases Satisfy Formulation 4 Base Axiom No edit summary
- 13:0313:03, 15 June 2024 diff hist +83 User:Leigh.Samphier/Matroids/Matroid Bases Satisfy Formulation 4 Base Axiom No edit summary
- 12:4912:49, 15 June 2024 diff hist +1 User:Leigh.Samphier/Matroids/Matroid Bases Satisfy Formulation 4 Base Axiom No edit summary
- 12:4812:48, 15 June 2024 diff hist +509 User:Leigh.Samphier/Matroids/Matroid Bases Satisfy Formulation 4 Base Axiom No edit summary
- 12:4012:40, 15 June 2024 diff hist +1 User:Leigh.Samphier/Matroids No edit summary
- 12:4012:40, 15 June 2024 diff hist +282 User:Leigh.Samphier/Matroids No edit summary
- 12:1712:17, 15 June 2024 diff hist −124 User:Leigh.Samphier/Matroids/Equivalence of Definitions of Matroid Base Axioms/Formulation 1 Iff Formulation 5 No edit summary current
- 12:1512:15, 15 June 2024 diff hist −291 User:Leigh.Samphier/Matroids No edit summary
- 12:1212:12, 15 June 2024 diff hist +187 User:Leigh.Samphier/Matroids No edit summary
- 08:0308:03, 15 June 2024 diff hist +328 User:Leigh.Samphier/Matroids/Matroid Bases Satisfy Formulation 4 Base Axiom No edit summary
- 07:5307:53, 15 June 2024 diff hist −4 Matroid Bases Iff Satisfies Formulation 1 of Matroid Base Axiom No edit summary current
- 07:5307:53, 15 June 2024 diff hist −678 Matroid Bases Iff Satisfies Formulation 1 of Matroid Base Axiom/Sufficient Condition No edit summary current
- 07:4107:41, 15 June 2024 diff hist +84 User:Leigh.Samphier/Matroids/Completed No edit summary current
- 07:4007:40, 15 June 2024 diff hist −56 User:Leigh.Samphier/Matroids No edit summary
- 07:3507:35, 15 June 2024 diff hist −27 User:Leigh.Samphier/Matroids No edit summary
- 07:3307:33, 15 June 2024 diff hist 0 m Independence System Induced from Set of Subsets Leigh.Samphier moved page User:Leigh.Samphier/Matroids/Independence System Induced from Set of Subsets to Independence System Induced from Set of Subsets current
- 07:3207:32, 15 June 2024 diff hist +414 N User:Leigh.Samphier/Matroids/Matroid Bases Satisfy Formulation 4 Base Axiom Created page with "{{Proofread}} == Theorem == Let $M = \struct {S, \mathscr I}$ be a matroid. Let $\mathscr B$ be the set of bases of the matroid $M$. Then $\mathscr B$ satisfies formulation $5$ of base axiom: {{:Axiom:Base Axiom (Matroid)/Formulation 5}} == Proof == {{qed}} Category:Matroid Bases"
- 07:2807:28, 15 June 2024 diff hist +82 User:Leigh.Samphier/Matroids No edit summary
13 June 2024
- 21:4121:41, 13 June 2024 diff hist 0 Independence System Induced from Set of Subsets No edit summary
- 21:4021:40, 13 June 2024 diff hist +1,150 Independence System Induced from Set of Subsets No edit summary
- 21:3421:34, 13 June 2024 diff hist +443 N Independence System Induced from Set of Subsets Created page with "{{Proofread}} == Theorem == Let $S$ be a finite set. Let $\mathscr A$ be a non-empty set of subsets of $S$. Let $\mathscr I = \set{X \subseteq S : \exists A \in \mathscr A : X \subseteq A}$. Then: :$\mathscr I$ is an independence system == Proof == {{qed}} Category:Subsets Category:Matroid Theory"
- 21:2421:24, 13 June 2024 diff hist +83 User:Leigh.Samphier/Matroids No edit summary
- 21:2121:21, 13 June 2024 diff hist −9 Equivalence of Definitions of Matroid/Definition 4 implies Definition 1 No edit summary current
- 21:2021:20, 13 June 2024 diff hist −6 Equivalence of Definitions of Matroid/Definition 1 implies Definition 4 No edit summary current
- 21:1921:19, 13 June 2024 diff hist −6 Equivalence of Definitions of Matroid/Definition 3 implies Definition 1 No edit summary current
- 21:1821:18, 13 June 2024 diff hist −6 Equivalence of Definitions of Matroid/Definition 2 implies Definition 3 No edit summary current
- 21:1721:17, 13 June 2024 diff hist −1 Equivalence of Definitions of Matroid/Definition 1 implies Definition 2 No edit summary current
- 21:1721:17, 13 June 2024 diff hist −1 Equivalence of Definitions of Matroid/Definition 1 implies Definition 2 No edit summary
- 21:1521:15, 13 June 2024 diff hist −5 Definition:Matroid/Definition 4 No edit summary current
- 21:1521:15, 13 June 2024 diff hist −3 Definition:Matroid/Definition 3 No edit summary current
- 21:1421:14, 13 June 2024 diff hist −1 Definition:Matroid/Definition 2 No edit summary current
- 21:1221:12, 13 June 2024 diff hist 0 Definition:Matroid/Definition 1 No edit summary current