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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". [3] [4] In many cases, a lemma derives its importance from the theorem it aims to prove; however, a lemma can also turn out to be more important than ...
The meaning of LEMMA is an auxiliary proposition used in the demonstration of another proposition.
Lemma — a minor result whose sole purpose is to help in proving a theorem. It is a stepping stone on the path to proving a theorem. It is a stepping stone on the path to proving a theorem. Very occasionally lemmas can take on a life of their own (Zorn's lemma, Urysohn's lemma, Burnside's lemma, Sperner's lemma).
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. Lexeme, in this context, refers to the set of all the inflected or alternating forms in the ...
For example, if p = 19, a = 133, b = 143, then ab = 133 × 143 = 19019, and since this is divisible by 19, the lemma implies that one or both of 133 or 143 must be as well.In fact, 133 = 19 × 7. 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 ...
Lemma definition: . See examples of LEMMA used in a sentence.
A lemma is a short theorem that helps prove a larger one. Learn about the origin of the term, some famous lemmas and how to use Wolfram|Alpha to explore them.
lemma n (plural lemma's or lemmata, diminutive lemmaatje n) ( mathematics ) lemma ( proved or accepted proposition used in a proof ) ( linguistics ) lemma ( the canonical form of an inflected word, dictionary form )
Lemma. more ... Like a Theorem, but not as important. It is a minor result that has been proved to be true (using facts that were already known). See: Theorem. Theorems, Corollaries, Lemmas.
Lemma (This is sometimes called the "Angle in the Semicircle Theorem", but it's really just a Lemma to the "Angle at the Center Theorem") In the special case where the central angle forms a diameter of the circle: 2a° = 180° , so a° = 90° So an angle inscribed in a semicircle is always a right angle. (That was a "small" result, so it is a ...