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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".
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
Gauss's lemma is used in many, [3]: Ch. 1 [3]: 9 but by no means all, of the known proofs of quadratic reciprocity. For example, Gotthold Eisenstein [ 3 ] : 236 used Gauss's lemma to prove that if p is an odd prime then
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.
"current": AC (for "alternating current"); less commonly, DC (for "direct current"); or even I (the symbol used in physics and electronics) Roman numerals: for example the word "six" in the clue might be used to indicate the letters VI; The name of a chemical element may be used to signify its symbol; e.g., W for tungsten
The symbol for the highest power level of a PSI attack in the Mother/EarthBound games; A symbol used by U.S. citizens in the 1960s & 1970s to denote resistance to the U.S. war in Viet Nam. Adapted from the SI unit for electrical resistance. [11] It's used along with Alpha in the Alpha and Omega, a Christian symbol.
In algebra, Gauss's lemma, [1] named after Carl Friedrich Gauss, is a theorem [note 1] about polynomials over the integers, or, more generally, over a unique factorization domain (that is, a ring that has a unique factorization property similar to the fundamental theorem of arithmetic).
In elementary number theory, the lifting-the-exponent lemma (LTE lemma) provides several formulas for computing the p-adic valuation of special forms of integers. The lemma is named as such because it describes the steps necessary to "lift" the exponent of p {\displaystyle p} in such expressions.