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• 21:57, 29 April 2026 InfernalAtom683 talk contribs created page Commutator (Created page with "A '''commutator''' is an algebraic expression that measures the failure of two elements to commute. It occurs throughout abstract algebra, particularly in group theory, ring theory, and linear algebra. If two elements commute, their commutator is trivial. More generally, the commutator describes the obstruction to exchanging the order of two operations. Commutators are fundamental in the study of noncommutative structures and in the construction of i...")
• 10:16, 8 April 2026 RapidPorsche talk contribs created page Mathepedia:About (Created page)
• 16:18, 5 April 2026 InfernalAtom683 talk contribs created page Quotient group (Created page with "A '''quotient group''' is a group obtained by aggregating similar elements of a larger group using an equivalence relation that preserves some of the group structure. == Definitions == Let <math>G</math> be a group and <math>N\trianglelefteq G</math> a normal subgroup. === Definition via cosets === The quotient group <math>G/N</math> is the set of left cosets <math display="block">G/N:=\{gN\mid g\in G\}</math>with group operation <math>(gN)(hN):=(gh)N.</math> === Defi...") Tag: Visual edit
• 19:29, 4 April 2026 InfernalAtom683 talk contribs moved page Template:Polyglot/row to Template:Terminology table/row
• 19:29, 4 April 2026 InfernalAtom683 talk contribs moved page Template:Polyglot to Template:Terminology table
• 19:27, 4 April 2026 InfernalAtom683 talk contribs created page Template:Polyglot/row (Created page with "|- | '''{{{1|{{{en}}}}}}''' | {{{2|{{{fr}}}}}} | {{{3|{{{de}}}}}} | {{{4|{{{zh-cn|{{{zh-hans|}}}}}}}}} | {{{5|{{{zh-tw|{{{zh-hant|}}}}}}}}} | {{{6|{{{ja}}}}}}")
• 19:27, 4 April 2026 InfernalAtom683 talk contribs created page Template:Polyglot (Created page with "{| class="wikitable" ! en ! fr ! de ! colspan="2" | zh ! ja {{{1}}} |}")
• 19:18, 4 April 2026 InfernalAtom683 talk contribs created page First isomorphism theorem (Created page with "The '''first isomorphism theorem''' is a fundamental result in abstract algebra that describes the relationship between a homomorphism, its kernel, and its image. The theorem appears uniformly across algebraic structures such as groups, rings, and modules, and serves as a prototype for many structural results in algebra. Specifically, given a homeo...") Tag: Visual edit
• 12:16, 2 April 2026 User account Fenglvming talk contribs was created
• 18:25, 28 March 2026 InfernalAtom683 talk contribs created page File:Hausdorff property in metric spaces.svg (Uploaded own work with UploadWizard)
• 18:25, 28 March 2026 InfernalAtom683 talk contribs uploaded File:Hausdorff property in metric spaces.svg (Uploaded own work with UploadWizard) Tag: Upload Wizard
• 18:25, 28 March 2026 InfernalAtom683 talk contribs created page Template:Created with TeX (Created page with "50px|link=|alt=TeX logo This media was created with TeX. {{#if: {{{source|}}} | <syntaxhighlight lang="tex"> {{{source}}} </syntaxhighlight> }}")
• 18:24, 28 March 2026 InfernalAtom683 talk contribs deleted page Template:Created with TeX/styles.css (content was: ".note { font-size: 1rem; line-height: 1.625; background-position: left 7px top 50%; padding: 0.5em 0.5em 0.5em 40px; margin: 0.5em 0; overflow: hidden; background-repeat: no-repeat; border: 1px solid #ddd; background-color: #f8f9fa; color: #333; background-size: 25px; border-color: #a2a9b1; padding-left:...", and the only contributor was "InfernalAtom683" (talk))
• 18:17, 28 March 2026 InfernalAtom683 talk contribs created page Template:Created with TeX/styles.css (Created page with ".note { font-size: 1rem; line-height: 1.625; background-position: left 7px top 50%; padding: 0.5em 0.5em 0.5em 40px; margin: 0.5em 0; overflow: hidden; background-repeat: no-repeat; border: 1px solid #ddd; background-color: #f8f9fa; color: #333; background-size: 25px; border-color: #a2a9b1; padding-left: 40px; min-height: 25px; }")
• 15:29, 28 March 2026 InfernalAtom683 talk contribs created page Darboux integral (Created page with "The '''Darboux integral''' is a formulation of integration in real analysis defined using upper and lower sums over partitions of an interval. It provides an order-theoretic approach to integration and is equivalent to the Riemann integral. == Definition == === Darboux sums === Let <math>f:[a,b]\to\mathbb{R}</math> be a bounded function. Let <math display="block"> P=\{x_0,x_1,\dots,x_n\}, \quad a=x_0 < x_1 < \cdots < x_n=b </math> be a partition of the interval...") Tag: Visual edit: Switched
• 14:28, 28 March 2026 InfernalAtom683 talk contribs created page Template:Disambiguation (Created page with "<templatestyles src="Disambiguation/styles.css"/> <div class="disambiguation metadata plainlinks"> <div class="disambiguation-image">30px|disambiguation</div> <div class="disambiguation-text">This is a disambiguation page, which lists pages which may be the intended target. If a [[Special:Whatlinkshere/{{PAGENAME}}|page link]] referred you here, please consider editing it to point directly to the intended...")
• 14:27, 28 March 2026 InfernalAtom683 talk contribs created page Template:Disambiguation/styles.css (Created page with ".disambiguation { clear: both; margin: 0.9em 1em; border-top: 1px solid #ccc; border-bottom: 1px solid #ccc; display: flex; align-items: center; } .disambiguation-image { padding: 2px 0 2px 0.9em; text-align: center; min-width, otherwise the image shrinks lots in minerva and timeless. * flex-basis can also be used: min-width: calc(0.9em + 30px); left padding + image size: } .disambiguation-text { padding: 0.25em 0.9em; font-sty...")
• 21:39, 24 March 2026 Michaelihc talk contribs created page Computation (Created page (draft)) Tag: Visual edit
• 20:09, 24 March 2026 User account Michaelihc talk contribs was created
• 18:18, 24 March 2026 User account RapidPorsche talk contribs was created
• 17:14, 24 March 2026 InfernalAtom683 talk contribs created page MediaWiki:Tagline (Created page with "From {{SITENAME}}, the mathematical encyclopedia")
• 17:13, 24 March 2026 InfernalAtom683 talk contribs created page MediaWiki:Common.css (Created page with "CSS placed here will be applied to all skins: #siteSub { display: block; }")
• 12:29, 24 March 2026 InfernalAtom683 talk contribs created page Locally Euclidean space (Created page with "A '''locally Euclidean space''' is a topological space that resembles a Euclidean space locally. Specifically, every point in a locally Euclidean space has an open neighborhood that is homeomorphic to an open subset in <math>\mathbb{R}^n</math>. The concept of locally Euclidean space is a central object in the definition of topological manifold. == Definition == A topological space <math>X</math> is locally Euclidean of dimension <math>n</math>, if for every...") Tag: Visual edit
• 09:55, 24 March 2026 InfernalAtom683 talk contribs moved page Hausdorffness to Hausdorff space
• 09:54, 24 March 2026 InfernalAtom683 talk contribs moved page Compactness to Compact space
• 22:53, 22 March 2026 InfernalAtom683 talk contribs created page Topological space (Created page with "A '''topological space''' is a fundamental mathematical structure that generalizes the concept of geometrical spaces and continuity. A topological space is equipped with a collection of open sets, capturing the intuitive idea of "nearness" without necessarily defining a metric. Topological spaces are the objects of study in general topology. == Definition == An ordered pair <math>(X, \tau)</math> is a topological space on set <math>X</math>, if <math...") Tag: Visual edit
• 21:21, 22 March 2026 InfernalAtom683 talk contribs created page Homotopy (Created page with "A '''homotopy''' is a continuous deformation between two continuous functions from one topological space to another. Specifically, a homotopy between two functions is a continuous map that, for each point in the domain, provides a path from its image under the first function to its image under the second. If such a function exists between two functions, they are said to be homotopic. Intuitively, a homotopy is the continuous transformation of...") Tag: Visual edit
• 21:20, 22 March 2026 InfernalAtom683 talk contribs created page Hausdorffness (Created page with "A '''Hausdorff space''' (or '''<math>T_2</math> space''') is a type of topological space in which points can be "cleanly separated" by neighborhoods. Specifically, for any two distinct points, there exist disjoint open sets containing each point. Consequently, Hausdorff property ensures that limits of sequences are unique when they exist. == Definitions == A topological space <math>(X,\tau)</math> is Hausdorff, if for any two points <math>x,y\in X</math...") Tag: Visual edit
• 21:19, 22 March 2026 InfernalAtom683 talk contribs created page Equivalence relation (Created page with "An '''equivalence relation''' is a binary relation on a set that groups elements into categories<ref>Not to be confused with category in category theory.</ref> in which all members are considered "equivalent" under some criterion. == Definition == A relation <math>\sim</math> on set <math>X</math> is a equivalence relation if it satisfies the following properties: * '''Reflexivity''': <math>\forall x\in X</math>, <math>x\sim x</math>. * '''Symmetry'...") Tag: Visual edit
• 20:58, 22 March 2026 InfernalAtom683 talk contribs created page Compactness (Created page with "A '''compact''' topological space is one that behaves, in many respects, like a finite space, even if it is infinite. Specifically, a compact space is a topological space whose every open cover admits a finite subcover. Compactness is one of the most fundamental topological properties in analysis and topology. Intuitively, compactness can be understood as a generalization of being "closed and bounded"....") Tag: Visual edit
• 20:57, 22 March 2026 InfernalAtom683 talk contribs created page Category of topological spaces (Created page with "The '''category of topological spaces''', denoted <math>\mathsf{Top}</math> or <math>\mathbf{Top}</math>, is the category whose objects are topological spaces and whose morphisms are continuous functions. == Definition == The category <math>\mathsf{Top}</math> consists of: * <math>\operatorname{ob}(\mathsf{Top})</math> consists of all topological spaces, * <math>\operatorname{mor}(\mathsf{Top})</math> consi...") Tag: Visual edit
• 20:42, 22 March 2026 InfernalAtom683 talk contribs created page Homeomorphism (Created page with "thumb|250x250px|A homeomorphism that turns a coffee mug into a donut continuously. A '''homeomorphism''' is a special type of function between two topological spaces, that establishes that the two spaces are fundamentally the same from a topological perspective. Specifically, it is a continuous bijective function whose inverse function is also continuous. Homeomorphisms are the Isomorp...") Tag: Visual edit: Switched
• 20:10, 22 March 2026 InfernalAtom683 talk contribs created page Template:Theorem (Created page with "<templatestyles src="Theorem/styles.css" /><div class="theorem" style="{{{style|}}}"><strong>{{{title|Theorem}}}</strong> <div> {{#if: {{{theorem|<noinclude>y</noinclude>}}} | {{{theorem}}} | {{#if: {{{1| {{{continue|}}} }}} | {{{1| {{{continue}}} }}} | {{{1| {{error|Template:Theorem Error caused by a symbol in property: use <code>theorem</code> parameter}} }}} }} }} </div></div>")
• 20:09, 22 March 2026 InfernalAtom683 talk contribs created page Template:Theorem/styles.css (Created page with ".theorem { border: thin solid #aaa; margin: 1em 2em; padding: 0.5em 1em 0.4em; } @media (max-width: 500px) { .property { margin: 1em 0; padding: 0.5em 0.5em 0.4em; } }")
• 20:09, 22 March 2026 InfernalAtom683 talk contribs created page Template:Property (Created page with "<templatestyles src="Property/styles.css" /><div class="property" style="{{{style|}}}"><strong>{{{title|Property}}}</strong> <div> {{#if: {{{property|<noinclude>y</noinclude>}}} | {{{property}}} | {{#if: {{{1| {{{continue|}}} }}} | {{{1| {{{continue}}} }}} | {{{1| {{error|Template:Property Error caused by a symbol in property: use <code>property</code> parameter}} }}} }} }} </div></div>")
• 20:08, 22 March 2026 InfernalAtom683 talk contribs created page Template:Property/styles.css (Created page with ".property { border: thin solid #aaa; margin: 1em 2em; padding: 0.5em 1em 0.4em; } @media (max-width: 500px) { .property { margin: 1em 0; padding: 0.5em 0.5em 0.4em; } }")
• 20:08, 22 March 2026 InfernalAtom683 talk contribs created page Template:Proof (Created page with "<templatestyles src="Proof/styles.css" /><div class="proof mw-collapsible" style="{{{style|}}}"><strong>{{{title|Proof}}}</strong> <div class="mw-collapsible-content"> {{#if: {{{proof|<noinclude>y</noinclude>}}} | {{{proof}}} | {{#if: {{{1| {{{continue|}}} }}} | {{{1| {{{continue}}} }}} | {{{1| {{error|Template:Proof Error caused by a symbol in proof: use <code>proof</code> parameter}} }}} }} }} <div class="qed">□</div> </di...")
• 20:07, 22 March 2026 InfernalAtom683 talk contribs created page Template:Proof/styles.css (Created page with ".proof { border: thin solid #aaa; margin: 1em 2em; padding: 0.5em 1em 0.4em; } .proof::after { content: ""; display: table; clear: both; } .qed { float: right; clear: both; margin-top: 0.2em; font-size: 1.2em; } @media (max-width: 500px) { .proof { margin: 1em 0; padding: 0.5em 0.5em 0.4em; } }")
• 19:49, 22 March 2026 InfernalAtom683 talk contribs created page File:Word mark.svg
• 19:49, 22 March 2026 InfernalAtom683 talk contribs uploaded File:Word mark.svg
• 19:47, 22 March 2026 InfernalAtom683 talk contribs created page File:Mathepedia.png
• 19:47, 22 March 2026 InfernalAtom683 talk contribs uploaded File:Mathepedia.png
• 19:22, 22 March 2026 InfernalAtom683 talk contribs imported Template:Main Page/Category ring by file upload (1 revision)
• 19:22, 22 March 2026 InfernalAtom683 talk contribs imported Template:Main Page/Header by file upload (1 revision)
• 19:22, 22 March 2026 InfernalAtom683 talk contribs imported Template:Main Page/Button/styles.css by file upload (1 revision)
• 19:22, 22 March 2026 InfernalAtom683 talk contribs imported Template:Main Page/Header/styles.css by file upload (1 revision)
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• 19:22, 22 March 2026 InfernalAtom683 talk contribs imported Template:Main Page/Button by file upload (1 revision)
• 19:22, 22 March 2026 InfernalAtom683 talk contribs imported Main Page by file upload (1 revision)
• 17:51, 22 March 2026 MediaWiki default talk contribs created page Main Page