Search results

Create the page "Theorems in mathematical analysis" on this wiki! See also the search results found.

• Vitali theorem
  Several theorems in [[mathematical analysis]] bear the name of [[Giuseppe Vitali]]: * '''[[Vitali covering theorem]]''' in the foundations of [[measure theory]]
  493 bytes (64 words) - 19:21, 1 September 2017
• Portal:Mathematics/Categories
  [[:Category:Mathematical analysis|Analysis]] | [[:Category:Complex analysis|Complex analysis]] |
  3 KB (266 words) - 15:42, 26 July 2022
• List of theorems called fundamental
  ...m of curves]] describes classification of [[Regular curve|regular curves]] in space up to [[Translation (geometry)|translation]] and [[rotation]]. ...as a stepping stone to a larger result, rather than as a useful statement in-and-of itself.
  5 KB (578 words) - 13:53, 14 September 2024
• List of mathematical proofs
  A list of articles with [[mathematical proof]]s: ==Theorems of which articles are primarily devoted to proving them==
  6 KB (715 words) - 20:11, 5 June 2023
• Hellinger–Toeplitz theorem
  In [[functional analysis]], a branch of [[mathematics]], the '''Hellinger–Toeplitz theorem''' stat for all ''x'', ''y'' in the domain of ''A''. Note that symmetric ''everywhere-defined'' operators
  3 KB (399 words) - 15:46, 25 May 2024
• Constructive quantum field theory
  ...eraction|forces of nature]] are believed to have their natural description in terms of [[Field (physics)#Quantum fields|quantum fields]]. ...xioms|operator-valued distribution]], a type of object from [[mathematical analysis]]. The [[existence theorem]]s for quantum fields can be expected to be ver
  4 KB (527 words) - 09:04, 10 December 2024
• Fundamental theorem of curves
  ...hor1-link= Ilka Agricola |first2=Thomas|last2=Friedrich|publisher=American Mathematical Society|year=2002|isbn=9780821829516|page=133|url=https://books.google.com/ If a pair of curves are in different positions but have the same curvature and torsion, then they are
  2 KB (305 words) - 21:23, 11 July 2023
• Local analysis
  {{Short description|Mathematical theories}} In [[algebraic geometry]] and related areas of [[mathematics]], '''local analysis''' is the practice of looking at a problem relative to each [[prime number]
  3 KB (412 words) - 17:06, 8 May 2024
• A Course of Pure Mathematics
  | 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
  3 KB (412 words) - 14:03, 3 May 2025
• Existence theorem
  ...rems which are existential by nature—since the quantification can be found in the definitions of the concepts used. ...ods are far-reaching,{{explain|date=March 2021}} in a way that [[numerical analysis]] cannot be.
  6 KB (821 words) - 20:12, 16 July 2024
• Arithmetization of analysis
  ...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 ...gued the geometric foundations of [[calculus]] were not solid enough for [[mathematical rigour|rigorous]] work.
  3 KB (470 words) - 12:45, 9 June 2024
• Abelian
  * [[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
  2 KB (234 words) - 20:11, 17 October 2024
• Schur's theorem
  {{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
  6 KB (908 words) - 19:01, 27 November 2024
• Riemann–Lebesgue lemma
  {{Short description|Theorem in harmonic analysis}} ...infinity]]. It is of importance in [[harmonic analysis]] and [[asymptotic analysis]].
  5 KB (834 words) - 05:49, 22 April 2025
• Sard's theorem
  {{Short description|Theorem in mathematical analysis}} ...has [[Lebesgue measure]] 0. This makes the set of critical values "small" in the sense of a [[generic property]]. The theorem is named for [[Anthony Mor
  6 KB (902 words) - 16:34, 23 May 2025
• Kirszbraun theorem
  {{short description|Mathematical theorem related to real and functional analysis}} In [[mathematics]], specifically [[real analysis]] and [[functional analysis]], the '''Kirszbraun theorem''' states that if {{mvar|U}} is a [[subset]] o
  5 KB (753 words) - 03:53, 19 August 2024
• Kantorovich inequality
  In [[mathematics]], the '''Kantorovich inequality''' is a particular case of t ...[[normed vector space]] for other examples of how the basic ideas inherent in the triangle inequality—line segment and distance—can be generalized in
  3 KB (466 words) - 03:08, 20 April 2025
• Gradient conjecture
  ...]], the '''gradient conjecture''', due to [[René Thom]] (1989), was proved in 2000 by three Polish mathematicians, Krzysztof Kurdyka ([[University of Sav ...has an isolated critical point at ''x''₀, there exists a limit (in the [[projective space]] PR^''n''−1) for the [[secant line]]s f
  1 KB (216 words) - 03:08, 20 April 2025
• List of lemmas
  ...al results factored out of proofs). See also [[list of axioms]], [[list of theorems]] and [[list of conjectures]]. {{Main category|Lemmas in algebra}}
  8 KB (860 words) - 21:03, 22 April 2025
• Continuous linear extension
  {{Short description|Mathematical method in functional analysis}} In [[functional analysis]], it is often convenient to define a [[linear transformation]] on a [[Comp
  4 KB (686 words) - 23:44, 28 January 2023