Definition
Formally, a complex measure μ on a measurable space (X,Σ) is a function
defined on Σ and taking complex values, which is sigma-additive; that is, for any sequence (An)n of disjoint sets in Σ one has
provided that the sum on the right converges absolutely or diverges properly, by analogy with the real-valued signed measures.
Read more about this topic: Complex Measure
Famous quotes containing the word definition:
“It is very hard to give a just definition of love. The most we can say of it is this: that in the soul, it is a desire to rule; in the spirit, it is a sympathy; and in the body, it is but a hidden and subtle desire to possess—after many mysteries—what one loves.”
—François, Duc De La Rochefoucauld (1613–1680)
“Mothers often are too easily intimidated by their children’s negative reactions...When the child cries or is unhappy, the mother reads this as meaning that she is a failure. This is why it is so important for a mother to know...that the process of growing up involves by definition things that her child is not going to like. Her job is not to create a bed of roses, but to help him learn how to pick his way through the thorns.”
—Elaine Heffner (20th century)
“One definition of man is “an intelligence served by organs.””
—Ralph Waldo Emerson (1803–1882)