Definition, Betydning, Synonymer & Anagrammer | engelsk ord LEMMA

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Definitioner af LEMMA

1. lemma

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Eksempler på brug af LEMMA i en sætning

• In mathematics, Bézout's identity (also called Bézout's lemma), named after Étienne Bézout who proved it for polynomials, is the following theorem:.
• In mathematics, the Hausdorff maximal principle is an alternate and earlier formulation of Zorn's lemma proved by Felix Hausdorff in 1914 (Moore 1982:168).
• In mathematics and other fields, a lemma (: lemmas or lemmata) is a generally minor, proven proposition which is used as a stepping stone to a larger result.
• He is best known for Zorn's lemma, a method used in set theory that is applicable to a wide range of mathematical constructs such as vector spaces, and ordered sets amongst others.
• Pumping lemma for regular languages, the fact that all sufficiently long strings in such a language have a substring that can be repeated arbitrarily many times, usually used to prove that certain languages are not regular.
• The rational root theorem is a special case (for a single linear factor) of Gauss's lemma on the factorization of polynomials.
• It was actually first proved by Bolzano in 1817 as a lemma in the proof of the intermediate value theorem.
• In topology, the Tietze extension theorem (also known as the Tietze–Urysohn–Brouwer extension theorem or Urysohn-Brouwer lemma) states that any real-valued, continuous function on a closed subset of a normal topological space can be extended to the entire space, preserving boundedness if necessary.
• It is named after Émile Borel and Francesco Paolo Cantelli, who gave statement to the lemma in the first decades of the 20th century.
• Abelian categories are very stable categories; for example they are regular and they satisfy the snake lemma.
• Some of the notable mathematical concepts bearing Kuratowski's name include Kuratowski's theorem, Kuratowski closure axioms, Kuratowski-Zorn lemma and Kuratowski's intersection theorem.
• In topology, Urysohn's lemma is a lemma that states that a topological space is normal if and only if any two disjoint closed subsets can be separated by a continuous function.
• The lemma was proved (assuming the axiom of choice) by Kazimierz Kuratowski in 1922 and independently by Max Zorn in 1935.
• Moreover, as stated in the lemma below, the closed linear span is indeed the closure of the linear span.
• The snake lemma is valid in every abelian category and is a crucial tool in homological algebra and its applications, for instance in algebraic topology.
• The proof of this lemma is not difficult, but we need to be slightly careful with the endpoint x = 1.
• In mathematics, especially homological algebra and other applications of abelian category theory, the short five lemma is a special case of the five lemma.
• In mathematics, especially homological algebra and other applications of abelian category theory, the five lemma is an important and widely used lemma about commutative diagrams.
• In mathematics, and more specifically in homological algebra, the splitting lemma states that in any abelian category, the following statements are equivalent for a short exact sequence.
• In mathematical queueing theory, Little's law (also result, theorem, lemma, or formula) is a theorem by John Little which states that the long-term average number L of customers in a stationary system is equal to the long-term average effective arrival rate λ multiplied by the average time W that a customer spends in the system.

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