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Verallgemeinerung der Untersuchungen von Gauss über das arithmetisch-geometrische MittelPickert, Ewald, January 1911 (has links)
Thesis (doctoral)--Universität Leipzig, 1911. / Cover title. Vita.
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Die Heineschen O-Funktionen und ihre Anwendungen auf die elliptischen FunktionenAshton, Charles H. January 1909 (has links)
Thesis--K.B. Ludwig-Maximilians-Universität zu München, 1909. / Vita.
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The exact percentage points for the likelihood ratio test criteria for testing sphericity in the multinormal case/Samborsky, William January 1974 (has links)
No description available.
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The exact percentage points for the likelihood ratio test criteria for testing sphericity in the multinormal case/Samborsky, William January 1974 (has links)
No description available.
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Temporal Complexity and Stochastic Central Limit TheoremPramukkul, Pensri 08 1900 (has links)
Complex processes whose evolution in time rests on the occurrence of a large and random number of intermittent events are the systems under study. The mean time distance between two consecutive events is infinite, thereby violating the ergodic condition and activating at the same time a stochastic central limit theorem that explains why the Mittag-Leffler function is a universal property of nature. The time evolution of these complex systems is properly generated by means of fractional differential equations, thus leading to the interpretation of fractional trajectories as the average over many random trajectories, each of which fits the stochastic central limit theorem and the condition for the Mittag-Leffler universality. Additionally, the effect of noise on the generation of the Mittag-Leffler function is discussed. Fluctuations of relatively weak intensity can conceal the asymptotic inverse power law behavior of the Mittag-Leffler function, providing a reason why stretched exponentials are frequently found in nature. These results afford a more unified picture of complexity resting on the Mittag-Leffler function and encompassing the standard inverse power law definition.
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Various Old and New Results in Classical Arithmetic by Special FunctionsHenry, Michael A. 25 April 2018 (has links)
No description available.
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