Formal Definition
In size theory, the size function associated with the size pair is defined in the following way. For every, is equal to the number of connected components of the set that contain at least one point at which the measuring function (a continuous function from a topological space to .) takes a value smaller than or equal to . The concept of size function can be easily extended to the case of a measuring function, where is endowed with the usual partial order . A survey about size functions (and size theory) can be found in .
Read more about this topic: Size Function
Famous quotes containing the words formal and/or definition:
“Two clergymen disputing whether ordination would be valid without the imposition of both hands, the more formal one said, “Do you think the Holy Dove could fly down with only one wing?””
—Horace Walpole (1717–1797)
“According to our social pyramid, all men who feel displaced racially, culturally, and/or because of economic hardships will turn on those whom they feel they can order and humiliate, usually women, children, and animals—just as they have been ordered and humiliated by those privileged few who are in power. However, this definition does not explain why there are privileged men who behave this way toward women.”
—Ana Castillo (b. 1953)