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

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 ...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**... 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 ...Hellinger Distance - Definition -

... define the Hellinger distance in terms of

**Measure Theory**... 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 probability**measure**λ ... 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:

“... liberal intellectuals ... tend to have a classical *theory* of politics, in which the state has a monopoly of power; hoping that those in positions of authority may prove to be enlightened men, wielding power justly, they are natural, if cautious, allies of the “establishment.””

—Susan Sontag (b. 1933)

“Unless a group of workers know their work is under surveillance, that they are being rated as fairly as human beings, with the fallibility that goes with human judgment, can rate them, and that at least an attempt is made to *measure* their worth to an organization in relative terms, they are likely to sink back on length of service as the sole reason for retention and promotion.”

—Mary Barnett Gilson (1877–?)

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