slovodefinícia
metric space
(encz)		metric space, n:
metric space
(wn)		metric space
n 1: a set of points such that for every pair of points there is
a nonnegative real number called their distance that is
symmetric and satisfies the triangle inequality
metric space
(foldoc)		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)
podobné slovodefinícia
complete metric space
(foldoc)		complete metric space

A metric space in which every sequence that
converges in itself has a limit. For example, the space of
real numbers is complete by Dedekind's axiom, whereas the
space of rational numbers is not - e.g. the sequence a[0]=1;
a[n_+1]:=a[n]/2+1/a[n].

(1998-07-05)

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