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:

    “If the pulse of his people shall beat calmly under this experiment, another and another will be tried till the measure of despotism be filled up.”
    —Thomas Jefferson (1743–1826)

    “The theory of the Communists may be summed up in the single sentence: Abolition of private property.”
    —Karl Marx (1818–1883)