0 Raised To The 0th Power
Further information: Exponentiation#Zero to the zero powerIn set theory and combinatorics, the cardinal number nm is the size of the set of functions from a set of size m into a set of size n. If m is positive and n is zero, then there are no such functions, because there are no elements in the latter set to map those of the former set into. Thus 0m = 0 when m is positive. However, if both sets are empty (have size 0), then there is exactly one such function — the empty function. For this reason, authors in combinatorics and set theory frequently define 00 to be 1 when it represents an empty product.
Read more about this topic: Empty Product
Famous quotes containing the words raised and/or power:
“Still they raised a family doin’ what comes natur’lly.”
—Irving Berlin (1888–1989)
“Just as children, step by step, must separate from their parents, we will have to separate from them. And we will probably suffer...from some degree of separation anxiety: because separation ends sweet symbiosis. Because separation reduces our power and control. Because separation makes us feel less needed, less important. And because separation exposes our children to danger.”
—Judith Viorst (20th century)