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burnside
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The answer BURNSIDE has 7 possible clue(s) in existing crosswords.
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The word BURNSIDE is VALID in some board games. Check BURNSIDE in word games in Scrabble, Words With Friends, see scores, anagrams etc.
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Definitions of burnside in various dictionaries:
noun - United States general in the American Civil War who was defeated by Robert E. Lee at the Battle of Fredericksburg (1824-1881)
noun - facial hair that has grown down the side of a man's face in front of the ears (especially when the rest of the beard is shaved off)
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| Possible Jeopardy Clues |
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| Prior to the war, this bewhiskered Union general manufactured firearms in Rhode Island |
| Besides serving in politics, this Civil War general, famous for his whiskers, was the first president of the NRA |
| He's the reluctant Union general seen here--check out those sweet whiskers |
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| A moustache, with whiskers on the cheeks but with no beard on the chin |
| A moustache in combination with whiskers on the cheeks but no beard on the chin. |
| United States general in the American Civil War who was defeated by Robert E. Lee at the Battle of Fredericksburg (1824-1881) |
| beard grown down the side of a man's face in front of the ears (especially when the rest of the beard is shaved off) |
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Burnside's lemma, sometimes also called Burnside's counting theorem, the Cauchy–Frobenius lemma or the orbit-counting theorem, is a result in group theory which is often useful in taking account of symmetry when counting mathematical objects. Its various eponyms are based on William Burnside, George Pólya, Augustin Louis Cauchy, and Ferdinand Georg Frobenius. The result is not due to Burnside himself, who merely quotes it in his book 'On the Theory of Groups of Finite Order', attributing it instead to Frobenius (1887).In the following, let G be a finite group that acts on a set X. For each g in G let Xg denote the set of elements in X that are fixed by g (also said to be left invariant by g), i.e. Xg = { x ∈ X | g.x = x }. Burnside's lemma asserts the following formula for the number of orbits, denoted |X/G|: * * * * * | * * X * * / * * G * * | * * = * * * 1 * * * | * * G * * | * * * * * * ∑ * * g * ∈ * G * * * * | * * * X * * g * * * * | * * . * * * {\displaystyle |X/G|={\frac {1}{|G|}}\sum _{g\in G}|X^{g}|.} * Thus the number of orbits (a natural number or +∞) is equal to the average number of points fixed by an element of G (which is also a natural number or infinity). If G is infinite, the division by |G| may not be well-defined; in this case the following statement in cardinal arithmetic holds: * * * * * | * * G * * | * * * | * * X * * / * * G * * | * * = * * ∑ * * g * ∈ * G * * * * | * * * X * * g * * * * | * * . * * * {\displaystyle |G||X/G|=\sum _{g\in G}|X^{g}|.} |