### Some articles on *measure theory, theory, measure, measures*:

Information Theory And

... Many of the formulas in information

**Measure Theory**... Many of the formulas in information

**theory**have separate versions for continuous and discrete cases, i.e ... These versions can often be generalized using**measure theory**... can be considered density functions with respect to the counting**measure**, thus requiring only basic discrete mathematics for what can be considered, in a**measure theory**context, integration ...Geometric

... In mathematics, geometric

**Measure Theory**... In mathematics, geometric

**measure theory**(GMT) is the study of the geometric properties of the**measures**of sets (typically in Euclidean spaces), including such things as arc lengths and areas ... It uses**measure theory**to generalize differential geometry to surfaces with mild singularities called rectifiable sets ... Deep results in geometric**measure theory**identified a dichotomy between rectifiable sets on the one hand and purely unrectifiable or fractal sets on the other ...Hellinger Distance - Definition -

... To define the Hellinger distance in terms of

**Measure Theory**... To define the Hellinger distance in terms of

**measure theory**, let P and Q denote two probability**measures**that are absolutely continuous with respect to a third ... distance between P and Q does not change if λ is replaced with a different probability**measure**with respect to which both P and Q are absolutely continuous ...### Famous quotes containing the words theory and/or measure:

“The struggle for existence holds as much in the intellectual as in the physical world. A *theory* is a species of thinking, and its right to exist is coextensive with its power of resisting extinction by its rivals.”

—Thomas Henry Huxley (1825–95)

“The *measure* of the little while

That I’ve been long away.”

—Robert Frost (1874–1963)

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