Fubini's Theorem - Alternate Theorem Statement

Alternate Theorem Statement

Another version of Fubini's theorem states that if A and B are σ-finite measure spaces, not necessarily complete, and if both

and

then

and

.

In this version the condition that the measures are σ-finite is necessary.

Read more about this topic:  Fubini's Theorem

Famous quotes containing the words alternate, theorem and/or statement:

    It might become a wheel spoked red and white
    In alternate stripes converging at a point
    Of flame on the line, with a second wheel below,
    Just rising, accompanying, arranged to cross,
    Through weltering illuminations, humps
    Of billows, downward, toward the drift-fire shore.
    Wallace Stevens (1879–1955)

    To insure the adoration of a theorem for any length of time, faith is not enough, a police force is needed as well.
    Albert Camus (1913–1960)

    Most personal correspondence of today consists of letters the first half of which are given over to an indexed statement of why the writer hasn’t written before, followed by one paragraph of small talk, with the remainder devoted to reasons why it is imperative that the letter be brought to a close.
    Robert Benchley (1889–1945)