例句與造句

1. That is, this case specializes the general definition when the topology on set " X " is induced from the discrete metric.
2. Certainly the discrete metric space is free when the morphisms are all uniformly continuous maps or all continuous maps, but this says nothing interesting about the metric structure, only the uniform or topological structure.
3. However, the discrete metric space is free in the category of bounded metric spaces and Lipschitz continuous maps, and it is free in the category of metric spaces bounded by 1 and short maps.
4. That is, any function from a discrete metric space to another bounded metric space is Lipschitz continuous, and any function from a discrete metric space to another metric space bounded by 1 is short.
5. That is, any function from a discrete metric space to another bounded metric space is Lipschitz continuous, and any function from a discrete metric space to another metric space bounded by 1 is short.
6. It's difficult to find discrete metric in a sentence. 用discrete metric造句挺難的
7. There is the concept of a non-measurable set, though, which looks a non-discrete metrics on sets, though . ( talk ) 16 : 46, 13 October 2014 ( UTC)
8. A rather different type of example is afforded by a metric space " X " which has the discrete metric ( where any two distinct points are at distance " 1 " from each other ).
9. However, the image of a bounded subset of an arbitrary metric space under a uniformly continuous function need not be bounded : as a counterexample, consider the identity function from the integers endowed with the discrete metric to the integers endowed with the usual Euclidean metric.