necklace problem
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Necklace problem — The necklace problem is a problem in recreational mathematics, solved in the early 21st century. Contents 1 Formulation 2 Solution 3 References 4 See also … Wikipedia
Necklace splitting problem — In mathematics, and in particular combinatorics, the necklace splitting problem arises in a variety of contexts including exact division; its picturesque name is due to mathematicians Noga Alon [1] and Douglas B. West.[2] Suppose a necklace, open … Wikipedia
Necklace (combinatorics) — In combinatorics, a k ary necklace of length n is an equivalence class of n character strings over an alphabet of size k, taking all rotations as equivalent. It represents a structure with n circularly connected beads of up to k different colors … Wikipedia
Necklace — For other uses, see Necklace (disambiguation). A bead crochet necklace made from crochet lace, sterling silver, and freshwater pearls. A necklace is an article of jewellery which is worn around the neck. Necklaces are frequently formed from a… … Wikipedia
Necklace (disambiguation) — A necklace is an article of jewelry worn around the neck. Necklace may also refer to: Necklace (combinatorics) or fixed necklace, a concept in combinatorial mathematics The Necklace , a short story by Guy de Maupassant The Necklace , an episode… … Wikipedia
List of combinatorics topics — This is a list of combinatorics topics.A few decades ago it might have been said that combinatorics is little more than a way to classify poorly understood problems, and some standard remedies. Great progress has been made since 1960.This page is … Wikipedia
combinatorics — /keuhm buy neuh tawr iks, tor , kom beuh /, n. (used with singular v.) See combinatorial analysis. * * * Branch of mathematics concerned with the selection, arrangement, and combination of objects chosen from a finite set. The number of possible… … Universalium
List of mathematics articles (N) — NOTOC N N body problem N category N category number N connected space N dimensional sequential move puzzles N dimensional space N huge cardinal N jet N Mahlo cardinal N monoid N player game N set N skeleton N sphere N! conjecture Nabla symbol… … Wikipedia
Luke Pebody — Luke Thomas Pebody (born 1977) is a mathematician who solved the necklace problem. Educated at Rugby School, Luke Pebody was admitted to Cambridge University at the age of 14 to read mathematics. He went up when he was 16, making him one of the… … Wikipedia
Inclusion-exclusion principle — In combinatorial mathematics, the inclusion exclusion principle (also known as the sieve principle) states that if A 1, ..., A n are finite sets, then:egin{align}iggl|igcup {i=1}^n A iiggr| {} =sum {i=1}^nleft|A i ight sum {i,j,:,1 le i < j… … Wikipedia
Topological combinatorics — The discipline of combinatorial topology used combinatorial concepts in topology and in the early 20th century this gradually turned into the field of algebraic topology. In 1978 the situation was reversed when methods from algebraic topology… … Wikipedia
