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From Nordan Symposia
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==Origin==
[http://nordan.daynal.org/wiki/index.php?title=English#ca._1100-1500_.09THE_MIDDLE_ENGLISH_PERIOD Middle English] ''discrepaunt'', from [[Latin]] ''discrepant''-, ''discrepans'', present participle of ''discrepare'' to [[sound]] [[Dissonance|discordantly]], from ''dis''- + ''crepare'' to rattle, creak
{http://en.wikipedia.org/wiki/17th_century 1623]
==Definitions==
*1: the [[quality]] or state of disagreeing or [[being]] at variance
*2: an instance of disagreeing or being at variance
==Description==
In [[mathematics]], '''discrepancy theory''' describes the deviation of a situation from the [[state]] one would like it to be. It is also called theory of irregularities of [[distribution]]. This refers to the theme of classical discrepancy theory, namely distributing [[points]] in some [[space]] such that they are evenly distributed with [[respect]] to some (mostly [[geometrically]] defined) subsets. The discrepancy (irregularity) [[measures]] how far a given distribution deviates from an [[ideal]] one.
Discrepancy theory can be described as the [[study]] of [[inevitable]] irregularities of distributions, in measure-theoretic and combinatorial settings. Just as [http://en.wikipedia.org/wiki/Ramsey_theory Ramsey theory] elucidates the impossibility of total disorder, discrepancy theory [[studies]] the deviations from total [[uniformity]].[http://en.wikipedia.org/wiki/Discrepancy_theory]
[[Category: Mathematics]]
==Origin==
[http://nordan.daynal.org/wiki/index.php?title=English#ca._1100-1500_.09THE_MIDDLE_ENGLISH_PERIOD Middle English] ''discrepaunt'', from [[Latin]] ''discrepant''-, ''discrepans'', present participle of ''discrepare'' to [[sound]] [[Dissonance|discordantly]], from ''dis''- + ''crepare'' to rattle, creak
{http://en.wikipedia.org/wiki/17th_century 1623]
==Definitions==
*1: the [[quality]] or state of disagreeing or [[being]] at variance
*2: an instance of disagreeing or being at variance
==Description==
In [[mathematics]], '''discrepancy theory''' describes the deviation of a situation from the [[state]] one would like it to be. It is also called theory of irregularities of [[distribution]]. This refers to the theme of classical discrepancy theory, namely distributing [[points]] in some [[space]] such that they are evenly distributed with [[respect]] to some (mostly [[geometrically]] defined) subsets. The discrepancy (irregularity) [[measures]] how far a given distribution deviates from an [[ideal]] one.
Discrepancy theory can be described as the [[study]] of [[inevitable]] irregularities of distributions, in measure-theoretic and combinatorial settings. Just as [http://en.wikipedia.org/wiki/Ramsey_theory Ramsey theory] elucidates the impossibility of total disorder, discrepancy theory [[studies]] the deviations from total [[uniformity]].[http://en.wikipedia.org/wiki/Discrepancy_theory]
[[Category: Mathematics]]
