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This following is a '''list of [[lemma (mathematics)|lemmas]]''' (or, "'''lemmata'''", i.e. minor [[theorem]]s, or sometimes intermedia {{Main category|Lemmas in algebra}} ...

{{For|Lebesgue's lemma for open covers of compact spaces in topology|Lebesgue's number lemma}} In [[mathematics]], '''Lebesgue's lemma''' is an important statement in [[approximation theory]]. It provides a bound for the projection error, co ...

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

{{Short description|Concept in integral mathematics}} In [[complex analysis]], the '''estimation lemma''', also known as the '''{{mvar|ML}} inequality' ...

...ical Society |volume=11 |year=1919 |pages=181–182 |url=http://www.imsc.res.in/~rao/ramanujan/CamUnivCpapers/Cpaper24/page1.htm }}</ref> ...<math>(n, 2n)</math> in order to be large enough. This is achieved through analysis of their factorizations. ...

{{short description|Result used in the theory of asymptotic expansions and partial differential equations}} ...Borel's lemma''', named after [[Émile Borel]], is an important result used in the theory of [[asymptotic expansion]]s and [[partial differential equation ...

{{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 ...

|fields = [[Numerical Analysis]] <br> [[Linear Algebra]]<ref>{{cite web | url=https://sites.google.com/a/l ...l=http://history.siam.org/householder.htm | title=The History of Numerical Analysis and Scientific Computing }}</ref> ...

...<math>h_{\epsilon}^{*}</math> that maps a tensor field <math>T_{\epsilon} \in \mathcal{M}_{\epsilon} </math> back onto <math>\mathcal{M}_{0}</math>. Give ...en <math>X^{a}-Y^{a} = (\xi^{\mu},0)</math> which is a well defined vector in any <math>\mathcal{M}_\epsilon</math> and gives the result ...

{{Short description|Theorem in complex analysis}} In [[complex analysis]], '''Jordan's lemma''' is a result frequently used in conjunction with the [[residue theorem]] to evaluate [[contour integral]]s ...

...(watchmaker)|James Ivory]]. The family lived and worked on the High Street in Dundee.<ref>Dundee Post Office directory 1809</ref> ...metry]], but also kept up with contemporary developments in [[mathematical analysis]].<ref name=eb1911>{{Cite EB1911|wstitle=Ivory, Sir James|volume=15|pages=9 ...

...ematical articles. This article brings together the same content organized in a manner better suited for browsing. ...matics, methodology, mathematical statements, integrals, general concepts, mathematical objects, and reference tables. ...

{{Short description|Mathematical proposition or corollary}} ...logous to how a corollary refers to a direct consequence of a [[theorem]]. In modern usage, it is a relationship that holds for an infinite range of valu ...

{{short description|Mathematical term; concerning axioms used to derive theorems}} ...property can be derived using the axioms. The more general term [[Theory (mathematical logic)|theory]] is at times used to refer to an axiomatic system and all it ...

{{Short description|Statement in complex analysis}} {{Complex analysis sidebar}} ...

{{Short description|Mathematics lemma in functional analysis}} ...sy to check) conditions that guarantee that a [[Linear subspace|subspace]] in a [[normed vector space]] is [[Dense set|dense]]. The lemma may also be cal ...

In [[mathematics]], '''Farkas' lemma''' is a solvability theorem for a finite ...onlinear programming]].<ref>{{cite book |first=Akira |last=Takayama |title=Mathematical Economics |location=New York |publisher=Cambridge University Press |edition ...

...l proofs]] and [[Philosophy|philosophical]] [[Logical argument|arguments]] in print publications, to indicate that the proof or the argument is complete. ...ase is "that [thing] which was to be demonstrated" (with ''demonstrandum'' in the [[gerundive]]). ...

{{Short description|Result in microeconomics}} ...e producer. It was first shown by [[Harold Hotelling]], and is widely used in the [[theory of the firm]]. ...

{{distinguish|text=[[Goursat's integral lemma]] from [[complex analysis]]}} ...more general version of [[Zassenhaus lemma|Zassenhaus' butterfly lemma]]. In this form, Goursat's lemma also implies the [[snake lemma]] {{Citation need ...