Definition
A pseudometric space is a set together with a non-negative real-valued function (called a pseudometric) such that, for every ,
- .
- (symmetry)
- (subadditivity/triangle inequality)
Unlike a metric space, points in a pseudometric space need not be distinguishable; that is, one may have for distinct values .
Read more about this topic: Pseudometric Space
Famous quotes containing the word definition:
“The definition of good prose is proper words in their proper places; of good verse, the most proper words in their proper places. The propriety is in either case relative. The words in prose ought to express the intended meaning, and no more; if they attract attention to themselves, it is, in general, a fault.”
—Samuel Taylor Coleridge (17721834)
“Im beginning to think that the proper definition of Man is an animal that writes letters.”
—Lewis Carroll [Charles Lutwidge Dodgson] (18321898)
“... we all know the wags definition of a philanthropist: a man whose charity increases directly as the square of the distance.”
—George Eliot [Mary Ann (or Marian)