Summation - 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:  Summation

Famous quotes containing the words measure and/or theory:

    As soon as man began considering himself the source of the highest meaning in the world and the measure of everything, the world began to lose its human dimension, and man began to lose control of it.
    Václav Havel (b. 1936)

    By the “mud-sill” theory it is assumed that labor and education are incompatible; and any practical combination of them impossible. According to that theory, a blind horse upon a tread-mill, is a perfect illustration of what a laborer should be—all the better for being blind, that he could not tread out of place, or kick understandingly.... Free labor insists on universal education.
    Abraham Lincoln (1809–1865)