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| ==Origin== | | ==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 | + | [https://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] | + | {https://en.wikipedia.org/wiki/17th_century 1623] |
| ==Definitions== | | ==Definitions== |
| *1: the [[quality]] or state of disagreeing or [[being]] at variance | | *1: the [[quality]] or state of disagreeing or [[being]] at variance |
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| 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. | | 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. |
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− | 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] | + | Discrepancy theory can be described as the [[study]] of [[inevitable]] irregularities of distributions, in measure-theoretic and combinatorial settings. Just as [https://en.wikipedia.org/wiki/Ramsey_theory Ramsey theory] elucidates the impossibility of total disorder, discrepancy theory [[studies]] the deviations from total [[uniformity]].[https://en.wikipedia.org/wiki/Discrepancy_theory] |
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| [[Category: Mathematics]] | | [[Category: Mathematics]] |