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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.
Lemma (morphology), the canonical, dictionary or citation form of a word; Lemma (psycholinguistics), a mental abstraction of a word about to be uttered;
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
Unlike stemming, lemmatization attempts to select the correct lemma depending on the context. Document indexing software like Lucene [6] can store the base stemmed format of the word without the knowledge of meaning, but only considering word formation grammar rules. The stemmed word itself might not be a valid word: 'lazy', as seen in the ...
The lemma first appeared in Euclid's Elements, and is a fundamental result in elementary number theory. If the premise of the lemma does not hold, that is, if p is a composite number , its consequent may be either true or false.
A lemma is an "accessory proposition" - a proposition with little applicability outside its use in a particular proof. Over time a lemma may gain in importance and be considered a theorem, though the term "lemma" is usually kept as part of its name (e.g. Gauss's lemma, Zorn's lemma, and the fundamental lemma).
In this step, meaning and the syntactic elements of a lexical item are realized as the lemma. Lemma retrieval, as explained through a spreading-activation theory, is part of a network of separate elements consisting of the abstract concept, the lemma and the lexeme. Lemma retrieval is aided by the activation level of the concept that has yet to ...