მანძილი: განსხვავება გადახედვებს შორის

For example, the usual definition of distance between two real numbers ''x'' and ''y'' is: d(''x'',''y'') = |''x'' − ''y''|. This definition satisfies the three conditions above, and corresponds to the standard [[topology]] of the [[real line]]. But distance on a given set is a definitional choice. Another possible choice is to define: d(''x'',''y'') = 0 if ''x'' = ''y'', and 1 otherwise. This also defines a metric, but gives a completely different topology, the "[[discrete topology]]"; with this definition numbers cannot be arbitrarily close.

 

 

== Distance versus directed distance and displacement ==