Examples
Common examples occur when speaking of compound mathematical objects. For example, a topological space consists of a set and a topology, and two topological spaces and can be quite different if they have different topologies. Nevertheless, it is common to refer to such a space simply as when there is no danger of confusion—that is, when it is implicitly clear what topology is being considered. Similarly, one often refers to a group as simply when the group operation is clear from context.
Read more about this topic: Abuse Of Notation
Famous quotes containing the word examples:
“It is hardly to be believed how spiritual reflections when mixed with a little physics can hold people’s attention and give them a livelier idea of God than do the often ill-applied examples of his wrath.”
—G.C. (Georg Christoph)
“Histories are more full of examples of the fidelity of dogs than of friends.”
—Alexander Pope (1688–1744)
“No rules exist, and examples are simply life-savers answering the appeals of rules making vain attempts to exist.”
—André Breton (1896–1966)