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.
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Famous quotes containing the words measure and/or theory:
“To measure life learn thou betimes, and know
Toward solid good what leads the nearest way;
For other things mild Heaven a time ordains,
And disapproves that care, though wise in show,
That with superfluous burden loads the day,
And, when God sends a cheerful hour, refrains.”
—John Milton (1608–1674)
“Don’t confuse hypothesis and theory. The former is a possible explanation; the latter, the correct one. The establishment of theory is the very purpose of science.”
—Martin H. Fischer (1879–1962)