Tag: Pseudo

Expository Moments for Pseudo Distributions


Free Download Haruhiko Ogasawara, "Expository Moments for Pseudo Distributions "
English | ISBN: 9811935246 | 2022 | 355 pages | PDF | 4 MB
This book provides expository derivations for moments of a family of pseudo distributions, which is an extended family of distributions including the pseudo normal (PN) distributions recently proposed by the author. The PN includes the skew normal (SN) derived by A. Azzalini and the closed skew normal (CSN) obtained by A. Domínguez-Molina, G. González-Farías, and A. K. Gupta as special cases. It is known that the CSN includes the SN and other various distributions as special cases, which shows that the PN has a wider variety of distributions. The SN and CSN have symmetric and skewed asymmetric distributions. However, symmetric distributions are restricted to normal ones. On the other hand, symmetric distributions in the PN can be non-normal as well as normal. In this book, for the non-normal symmetric distributions, the term "kurtic normal (KN)" is used, where the coined word "kurtic" indicates "mesokurtic, leptokurtic, or platykurtic" used in statistics. The variety of the PN was made possible using stripe (tigerish) and sectional truncation in univariate and multivariate distributions, respectively. The proofs of the moments and associated results are not omitted and are often given in more than one method with their didactic explanations.

(more…)

The Four Books of Pseudo-Democritus


Free Download Matteo Martelli, "The Four Books of Pseudo-Democritus (Sources of Alchemy and Chemistry: Sir Robert Mond Studies in the History of Early Chemistry, Supplement 1, 60)"
English | 2014 | pages: 302 | ISBN: 1909662283 | PDF | 169,5 mb
The Four Books of pseudo-Democritus, written in the first century AD, rank among the very earliest known alchemical writings. In this volume, Matteo Martelli presents not only a fresh edition and translation of the surviving Greek fragments, but also, for the first time, additional materials preserved in Syriac.The volume presents important examples of the early modern and medieval reception of Synesius and Dioscorus – the most interesting Byzantine commentary on the Four Books – and previously unpublished Latin translations of both the Four Books and Synesius’ commentary made by Matthaeus Zuber in 1606. Accompanied by a full translation and commentary, these sources offer new and significant insights into the world of ancient chemistry: practical recipes and lists of ingredients, clues to the doctrinal content of ancient alchemy, and early hints of a tradition that linked the alchemist ‘Democritus’ to the wisdom of Egypt and Persia.

(more…)

Pseudo-Monotone Operator Theory for Unsteady Problems with Variable Exponents


Free Download Pseudo-Monotone Operator Theory for Unsteady Problems with Variable Exponents by Alex Kaltenbach
English | PDF EPUB (True) | 364 Pages | ISBN : 3031296699 | 56.7 MB
This book provides a comprehensive analysis of the existence of weak solutions of unsteady problems with variable exponents. The central motivation is the weak solvability of the unsteady p(.,.)-Navier-Stokes equations describing the motion of an incompressible electro-rheological fluid. Due to the variable dependence of the power-law index p(.,.) in this system, the classical weak existence analysis based on the pseudo-monotone operator theory in the framework of Bochner-Lebesgue spaces is not applicable. As a substitute for Bochner-Lebesgue spaces, variable Bochner-Lebesgue spaces are introduced and analyzed. In the mathematical framework of this substitute, the theory of pseudo-monotone operators is extended to unsteady problems with variable exponents, leading to the weak solvability of the unsteady p(.,.)-Navier-Stokes equations under general assumptions.

(more…)