Measure Theory

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

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 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 - 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–?)