set
A collection of objects, known as the elements of the set, specified in such a way that we can tell in principle whether or not a given object belongs to it. E.g. the set of all prime numbers, the set of zeros of the cosine function. For each set there is a predICate (or property) wh ICh is true for (posessed by) exectly those objects wh ICh are elements of the set. The pred ICate may be defined by the set or v ICe versa. Order and repetition of elements within the set are irrelevant so, for example, 1, 2, 3 = 3, 2, 1 = 1, 3, 1, 2, 2. Some common set of numbers are given the following names: N = the natural numbers 0, 1, 2, ... Z = the integers ..., -2, -1, 0, 1, 2, ... Q = the rational numbers p/q where p, q are in Z and q /= 0. R = the real numbers C = the complex numbers. The empty set is the set with no elements. The intersection of two sets X and Y is the set containing all the elements x such that x is in X and x is in Y. The union of two sets is the set containing all the elements x such that x is in X or x is in Y. See also set complement. (1995-01-24) In addition suitable contents: [ 2 ] [ = ] [ ai ] [ al ] [ am ] [ an ] [ ar ] [ arc ] [ as ] [ at ] [ b ] [ be ] [ bj ] [ by ] [ C ] [ ca ] [ cat ] [ ch ] [ ci ] [ co ] [ com ] [ complement ] [ complex number ] [ con ] [ de ] [ du ] [ E ] [ ec ] [ ed ] [ ee ] [ eg ] [ element ] [ er ] [ es ] [ et ] [ exec ] [ fi ] [ file ] [ fo ] [ for ] [ function ] [ ge ] [ gi ] [ gs ] [ h ] [ hat ] [ hose ] [ hr ] [ id ] [ ie ] [ il ] [ in ] [ inc ] [ int ] [ integer ] [ io ] [ ir ] [ is ] [ it ] [ kn ] [ Lex ] [ ls ] [ ly ] [ ma ] [ mm ] [ mo ] [ mod ] [ module ] [ mp ] [ N ] [ na ] [ natural number ] [ nc ] [ ne ] [ ng ] [ ni ] [ no ] [ nu ] [ numbers ] [ O ] [ object ] [ om ] [ op ] [ pe ] [ ph ] [ pl ] [ pr ] [ pt ] [ Q ] [ query ] [ rational ] [ rc ] [ re ] [ real ] [ real number ] [ ro ] [ ru ] [ S ] [ sa ] [ se ] [ set complement ] [ si ] [ so ] [ spec ] [ su ] [ T ] [ th ] [ to ] [ tr ] [ tw ] [ um ] [ union ] [ va ] [ ve ] [ vi ] [ win ] [ X ] [ Y ] [ Z ] [ zero ]
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