metric space
A set of points together with a function, d, called a metric function or distance function. The function assigns a positive real number to each pair of points, called the distance between them, such that: 1. For any point x, d(x,x)=0 2. For any two distinct points x and y, d(x,y)>0 3. For any two points x and y, not necessarily distinct, d(x,y) = d(y,x). 4. For any three points x, y, and z, that are not necessarily distinct, d(x,z) <= d(x,y) + d(y,z). The distance from x to z does not exceed the sum of the distances from x to y and from y to z. The sum of the lengths of two sides of a triangle is equal to or exceeds the length of the third side. (2003-06-26) In addition suitable contents:
[ 2 ] [ = ] [ ai ] [ al ] [ am ] [ an ] [ ar ] [ arc ] [ as ] [ at ] [ b ] [ be ] [ ca ] [ ch ] [ de ] [ do ] [ du ] [ ec ] [ ed ] [ ee ] [ er ] [ es ] [ et ] [ fi ] [ file ] [ fr ] [ function ] [ ge ] [ gl ] [ gn ] [ gt ] [ h ] [ hat ] [ hr ] [ hs ] [ id ] [ il ] [ in ] [ inc ] [ int ] [ io ] [ ir ] [ is ] [ it ] [ Lex ] [ ly ] [ ma ] [ metric ] [ mo ] [ mod ] [ module ] [ na ] [ nc ] [ ne ] [ ng ] [ no ] [ ns ] [ nu ] [ om ] [ pa ] [ ph ] [ point ] [ query ] [ rc ] [ re ] [ real ] [ real number ] [ ro ] [ sa ] [ se ] [ set ] [ si ] [ sig ] [ sit ] [ st ] [ su ] [ sum ] [ T ] [ th ] [ to ] [ tr ] [ tw ] [ ua ] [ um ] [ ve ]
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