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A set of two of items of a type Century: 100 Primarily denotes one hundred years, but occasionally used, especially in the context of competitive racing, to refer to something consisting of one hundred, as in a 100-mile race. Dozen: 12
A set of polygons in an Euler diagram This set equals the one depicted above since both have the very same elements.. In mathematics, a set is a collection of different [1] things; [2] [3] [4] these things are called elements or members of the set and are typically mathematical objects of any kind: numbers, symbols, points in space, lines, other geometrical shapes, variables, or even other ...
[7] n-tuples whose entries come from a set of m elements are also called arrangements with repetition, permutations of a multiset and, in some non-English literature, variations with repetition. The number of n-tuples of an m-set is m n. This follows from the combinatorial rule of product. [8]
The original "up to eleven" knobs in the 1984 film This Is Spinal Tap "Up to eleven", also phrased as "these go to eleven", is an idiom from popular culture, coined in the 1984 film This Is Spinal Tap, where guitarist Nigel Tufnel demonstrates a guitar amplifier whose volume knobs are marked from zero to eleven, instead of the usual zero to ten.
More precisely, each natural number n is defined as an explicitly defined set, whose elements allow counting the elements of other sets, in the sense that the sentence "a set S has n elements" means that there exists a one to one correspondence between the two sets n and S. The sets used to define natural numbers satisfy Peano axioms.
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A partition of a set X is a set of non-empty subsets of X such that every element x in X is in exactly one of these subsets [2] (i.e., the subsets are nonempty mutually disjoint sets). Equivalently, a family of sets P is a partition of X if and only if all of the following conditions hold: [3]
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