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:
“In the examples that I here bring in of what I have [read], heard, done or said, I have refrained from daring to alter even the smallest and most indifferent circumstances. My conscience falsifies not an iota; for my knowledge I cannot answer.”
—Michel de Montaigne (1533–1592)
“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)