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In mathematics and other fields, [a] a lemma (pl.: lemmas or lemmata) is a generally minor, proven proposition which is used to prove a larger statement. For that reason, it is also known as a "helping theorem " or an "auxiliary theorem".
In morphology and lexicography, a lemma (pl.: lemmas or lemmata) is the canonical form, [1] dictionary form, or citation form of a set of word forms. [2] In English, for example, break , breaks , broke , broken and breaking are forms of the same lexeme , with break as the lemma by which they are indexed.
Burnside's lemma also known as the Cauchy–Frobenius lemma; Frattini's lemma (finite groups) Goursat's lemma; Mautner's lemma (representation theory) Ping-pong lemma (geometric group theory) Schreier's subgroup lemma; Schur's lemma (representation theory) Zassenhaus lemma
A critical apparatus (Latin: apparatus criticus) in textual criticism of primary source material, is an organized system of notations to represent, in a single text, the complex history of that text in a concise form useful to diligent readers and scholars. The apparatus typically includes footnotes, standardized abbreviations for the source ...
Lemma (morphology), the canonical, dictionary or citation form of a word Lemma (psycholinguistics) , a mental abstraction of a word about to be uttered Science and mathematics
In mathematics, a lemma is an auxiliary theorem which is typically used as a stepping stone to prove a bigger theorem. See lemma for a more detailed explanation. Subcategories
Given an integrable function f : R d → C, where R d denotes Euclidean space and C denotes the complex numbers, the lemma gives a precise way of partitioning R d into two sets: one where f is essentially small; the other a countable collection of cubes where f is essentially large, but where some control of the function is retained.
First and foremost, a word is basically a sequence of symbols, or letters, in a finite set. [1] One of these sets is known by the general public as the alphabet. For example, the word "encyclopedia" is a sequence of symbols in the English alphabet, a finite set of twenty-six letters. Since a word can be described as a sequence, other basic ...