Examples
- An enumeration of a set S gives an index set, where f : J → S is the particular enumeration of S.
- Any countably infinite set can be indexed by .
- For, the indicator function on r is the function given by
The set of all the functions is an uncountable set indexed by .
Read more about this topic: Index Set
Famous quotes containing the word examples:
“Histories are more full of examples of the fidelity of dogs than of friends.”
—Alexander Pope (1688–1744)
“There are many examples of women that have excelled in learning, and even in war, but this is no reason we should bring ‘em all up to Latin and Greek or else military discipline, instead of needle-work and housewifry.”
—Bernard Mandeville (1670–1733)
“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)