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Several theorems in [[mathematical analysis]] bear the name of [[Giuseppe Vitali]]: * '''[[Vitali covering theorem]]''' in the foundations of [[measure theory]] ...

Several theorems are named after [[Augustin-Louis Cauchy]]. '''Cauchy theorem''' may mean: *[[Cauchy's integral theorem]] in complex analysis, also [[Cauchy's integral formula]] ...

In [[mathematics]], a '''classification theorem''' answers the [[classificatio ...p in solving it. (A combination of invariant values is realizable if there in fact exists an object whose invariants take on the specified set of values) ...

...stated in terms of integral equations, in terms of [[linear algebra]], or in terms of the [[Fredholm operator]] on [[Banach space]]s. The [[Fredholm alternative]] is one of the Fredholm theorems. ...

...that is '''totally monotone''' is a mixture of [[exponential function]]s. In one important special case the mixture is a [[weighted average]], or [[expe ...other convention puts the opposite [[inequality (mathematics)|inequality]] in the above definition. ...

{{for|other theorems by the Riesz brothers|Riesz theorem (disambiguation){{!}}Riesz theorem}} In [[mathematics]], the '''F. and M. Riesz theorem''' is a result of the broth ...

{{short description|One of several theorems in different areas of mathematics}} ...theorem''' is a theorem of [[:de:Axel Schur|Axel Schur]]. In [[functional analysis]], '''Schur's theorem''' is often called [[Schur's property]], also due to ...

{{short description|Mathematics principle in complex analysis}} {{about|the reflection principle in complex analysis|reflection principles of set theory|Reflection principle}} ...

...century which aimed to abolish all geometric intuition from the proofs in analysis. For the followers of this program, the fundamental concepts of calculus sh ...shifted to signify the [[set theory|set-theoretic]] construction of the [[real line]]. Its main proponent was [[Karl Weierstrass|Weierstrass]], who argue ...

==Theorems of which articles are primarily devoted to proving them== ==Articles devoted to theorems of which a (sketch of a) proof is given== ...

{{Short description|Theorem in measure theory}} ...n of [[inequality (mathematics)|inequalities]] relating the [[integral]]s (in the sense of [[Lebesgue integration|Lebesgue]]) of the [[limit superior and ...

* [[Abelian group]], a group in which the binary operation is commutative * [[Abelian category]], in category theory, a preabelian category in which every monomorphism is a kernel and every epimorphism is a cokernel ...

In [[mathematics]], the '''Balian–Low theorem''' in [[Fourier analysis]] is named for [[Roger Balian]] and [[Francis E. Low]]. ...is no well-localized [[window function]] (or [[Gabor atom]]) ''g'' either in time or frequency for an exact Gabor [[Frame of a vector space|frame]] (Rie ...

| subject = [[Mathematical Analysis]] ...ten editions (up to 1952) and several reprints. It is now out of copyright in UK and is downloadable from various internet web sites. It remains one of t ...

{{Short description|Modern reformulation of the calculus in terms of infinitesimals}} ...being [[continuous function|continuous]] and incapable of being expressed in terms of [[Discrete mathematics|discrete]] entities. As a theory, it is a ...

...ian SSR|Armenian]] [[mathematician]] [[Sergey Mergelyan|Sergei Mergelyan]] in 1951. | title = Mergelyan's and Arakelian's theorems for manifold-valued maps ...

{{Short description|Theorem in harmonic analysis}} ...infinity]]. It is of importance in [[harmonic analysis]] and [[asymptotic analysis]]. ...

...sher=[[Pearson PLC|Pearson]]|page=119|edition=second}}</ref> ''Metrization theorems'' are [[theorem]]s that give [[sufficient condition]]s for a topological sp ==Metrization theorems== ...

In [[algebraic geometry]] and related areas of [[mathematics]], '''local analysis''' is the practice of looking at a problem relative to each [[prime number] ...' dividing the order of ''G''. This area of study was enormously developed in the quest for the [[classification of finite simple groups]], starting with ...

{{Short description|Theorem in measure theory}} {{about|the theorem of real analysis|the separation theorem in descriptive set theory|Lusin's separation theorem}} ...