A
Colle
Ction of obje
Cts, known as the elements of the set, spe
Cified in su
Ch a way that we
Can tell in prin
Ciple whether or not a given obje
Ct belongs to it. E.g. the set of all prime numbers, the set of zeros of the
Cosine fun
Ction. For ea
Ch set there is a
prediCate (or property) whi
Ch is true for (posessed by) exe
Ctly those obje
Cts whi
Ch are elements of the set. The predi
Cate may be defined by the set or vi
Ce 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 interse
Ction of two sets X and Y is the set
Containing all the elements x su
Ch that x is in X and x is in Y. The union of two sets is the set
Containing all the elements x su
Ch 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 ]