Sum - Measure Theory Notation

Measure Theory Notation

In the notation of measure and integration theory, a sum can be expressed as a definite integral,

where is the subset of the integers from a to b, and where μ is the counting measure.

Read more about this topic:  Sum

Famous quotes containing the words measure and/or theory:

    “I measure myself
    Against a tall tree.
    I find that I am much taller,
    For I reach right up to the sun,
    With my eye....”
    —Wallace Stevens (1879–1955)

    “The weakness of the man who, when his theory works out into a flagrant contradiction of the facts, concludes “So much the worse for the facts: let them be altered,” instead of “So much the worse for my theory.””
    —George Bernard Shaw (1856–1950)