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prime characteristic

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  • Characteristic (algebra) — In mathematics, the characteristic of a ring R, often denoted char(R), is defined to be the smallest number of times one must use the ring s multiplicative identity element (1) in a sum to get the additive identity element (0); the ring is said… …   Wikipedia

  • Prime — • Article on the office of Prime, now suppressed Catholic Encyclopedia. Kevin Knight. 2006. Prime     Prime     † …   Catholic encyclopedia

  • Prime (liturgy) — Prime, or the First Hour, is a fixed time of prayer of the traditional Divine Office (Canonical Hours), said at the first hour of daylight (approximately 6:00 a.m.), between the morning Hour of Lauds and the 9 a.m. Hour of Terce. It is part of… …   Wikipedia

  • Prime ring — In abstract algebra, a non trivial ring R is a prime ring if for any two elements a and b of R , if arb = 0 for all r in R , then either a = 0 or b = 0 . Prime ring can also refer to the subring of a field determined by its characteristic. For a… …   Wikipedia

  • Characteristic class — In mathematics, a characteristic class is a way of associating to each principal bundle on a topological space X a cohomology class of X. The cohomology class measures the extent to which the bundle is twisted particularly, whether it possesses… …   Wikipedia

  • Prime model — In mathematics, and in particular model theory, a prime model is a model which is as simple as possible. Specifically, a model P is prime if it admits an elementary embedding into any model M to which it is elementarily equivalent (that is, into… …   Wikipedia

  • prime — I 1. adjective 1) his prime reason for leaving Syn: main, chief, key, primary, central, principal, foremost, first, most important, paramount, major; informal number one Ant: secondary, subordinate …   Thesaurus of popular words

  • Prime constant — The prime constant is the number ho whose nth binary digit is 1 if n is prime and 0 if it is composite.In other words, ho is simply the number whose binary expansion corresponds to the indicator function of the set of prime numbers. That is, : ho …   Wikipedia

  • Ring of mixed characteristic — In commutative algebra, a ring of mixed characteristic is a commutative ring R having characteristic zero and having an ideal I such that R / I has positive characteristic. Examples The integers Z have characteristic zero, but for any prime… …   Wikipedia

  • Receiver operating characteristic — In signal detection theory, a receiver operating characteristic (ROC), or simply ROC curve, is a graphical plot of the sensitivity vs. (1 specificity) for a binary classifier system as its discrimination threshold is varied. The ROC can also be… …   Wikipedia

  • Euler characteristic — In mathematics, and more specifically in algebraic topology and polyhedral combinatorics, the Euler characteristic is a topological invariant, a number that describes one aspect of a topological space s shape or structure. It is commonly denoted… …   Wikipedia

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