Search results for "Mathieu-H"
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Generalized Mathieu Series
The Mathieu series is a functional series introduced by Émile Léonard Mathieu for the purposes of his research on the elasticity of solid bodies. Bounds for this series are needed for solving biharmonic equations in a rectangular domain. In addition to Tomovski and his coauthors, Pogany, Cerone, H. M. Srivastava, J. Choi, etc. are some of the known authors who published results concerning the Mathieu series, its generalizations and their alternating variants. Applications of these results are given in classical, harmonic and numerical analysis, analytical number theory, special functions, mathematical physics, probability, quantum field theory, quantum physics, etc. Integral representations, analytical inequalities, asymptotic expansions and behaviors of some classes of Mathieu series are presented in this book. A systematic study of probability density functions and probability distributions associated with the Mathieu series, its generalizations and Planck’s distribution is also presented. The book is addressed at graduate and PhD students and researchers in mathematics and physics who are interested in special functions, inequalities and probability distributions.
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Generalized Mathieu Series
The Mathieu series is a functional series introduced by Émile Léonard Mathieu for the purposes of his research on the elasticity of solid bodies. Bounds for this series are needed for solving biharmonic equations in a rectangular domain. In addition to Tomovski and his coauthors, Pogany, Cerone, H. M. Srivastava, J. Choi, etc. are some of the known authors who published results concerning the Mathieu series, its generalizations and their alternating variants. Applications of these results are given in classical, harmonic and numerical analysis, analytical number theory, special functions, mathematical physics, probability, quantum field theory, quantum physics, etc. Integral representations, analytical inequalities, asymptotic expansions and behaviors of some classes of Mathieu series are presented in this book. A systematic study of probability density functions and probability distributions associated with the Mathieu series, its generalizations and Planck’s distribution is also presented. The book is addressed at graduate and PhD students and researchers in mathematics and physics who are interested in special functions, inequalities and probability distributions.
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Art of Working with the Mathieu Group M24
The Leech lattice Λ, the Conway group ∙O, and the Monster group M are immensely famous structures. They each grow out of the Mathieu group M24 and its underlying combinatorial structure, and play an important role in various branches of mathematics and in theoretical physics. Written by an expert in the field, this book provides a new generation of mathematicians with the intimate knowledge of M24 needed to understand these beautiful objects, and many others. It starts by exploring Steiner systems, before introducing the Miracle Octad Generator (MOG) as a device for working with the Steiner system S(5,8,24). Emphasizing how theoretical and computational approaches complement one another, the author describes how familiarity with M24 leads to the concept of 'symmetric generation' of groups. The final chapter brings together the various strands of the book to produce a nested chain of groups culminating in the largest Conway simple group Co1.
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Ein Verfahren zur Planung der Maschinenbelegung in einer Fertigungsstufe
Wird als Ausgangspunkt für eine Unternehmensplanung ein Absatzprogramm für einen längeren Zeitraum - etwa ein Jahr - aufgestellt, so muß festgestellt werden, wieweit eine dadurch gegebene Zielsetzung mit den vorhandenen Einrichtungen und Anlagen in Übereinstimmung gebracht werden kann. Eine solche Abstim mung läßt sich in der Regel mit den mathematischen Methoden der linearen Programmierung erreichen, wenn die Ausgangsgrößen - verfügbare Kapazität der einzelnen Anlagen, Belastung der einzelnen Einrichtungen durch eine Er zeugniseinheit, Gewinn pro Einheit usw. - bekannt sind. Dabei gilt natürlich, daß »eine Unternehmung genausowenig wie jede andere Veranstaltung (Familien feier, Feldzug) ausschließlich durch Planung festgelegt wird; vielmehr treten die improvisierten Entscheidungen hinzu«1. Anders liegen die Dinge aber bei der Planung des Fertigungsablaufs an einer Maschine oder in einer Abteilung durch die Fertigungssteuerung. Während es Aufgabe der Unternehmens planung ist, das Programm mit den Produktions kapazitäten in Einklang zu bringen bzw. für die Bereitstellung der notwendigen Produktionseinrichtungen zu sorgen, besteht nun die Aufgabe darin, mit der gegebenen Kapazität der Einrichtungen als Rahmen den kostengünstigsten zeit lichen Ablauf zu planen, d. h. in erster Linie, Terminüberschreitungen zu ver meiden und für eine kurze Durchlaufzeit der Erzeugnisse durch den Betrieb zu sorgen. Hierzu ein einfaches Beispiel: Vier innerbetriebliche Aufträge sollen auf einer Maschine nacheinander bearbeitet werden. Die günstigsten Termine der Fertigstellung seien durch eine Weiter bearbeitung der einzelnen Aufträge auf anderen Maschinen gegeben.
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Mathieu Lehanneur
A comprehensive monograph on the visionary designer Matthieu Lehanneur, whose nature-inspired work blurs the boundaries between art and science Mathieu Lehanneur’s multidisciplinary practice spans art, architecture, product design, and technology. From his headquarters, dubbed ‘The Factory,’ near Paris, Lehanneur designs and produces a fascinating array of projects including: an award-winning air filter, a river plant aquarium, a permanent installation at the Château de Chaumont-sur-Loire, the choir of Saint-Hilaire Church, and, famously, the torch and cauldron for the 2024 Summer Olympic Games. Lehanneur’s debut monograph reveals his design philosophy through 10 chapters organized around the determining 'principles' of his work. Featuring a trove of images – including preliminary studies and models, inspirations, renders, details, manufacturing photography, and press clippings – the book documents his distinctive approach to design.Readers will discover 80 key projects, from interior and object design to larger-scale projects and public infrastructures, each presented with a text description and extensive full-color visuals. A foreword by writer Spencer Bailey delves into Lehanneur’s practice in more detail, while a conversation with journalist Lucie Weeger reveals the designer’s inspirations and aspirations, and an essay by museum curator Constance Rubini takes a closer look at Lehanneur’s Olympic torch.A stunning object in its own right, the book features a distinctive cover inspired by the solid waves iconic of Lehanneur’s work, completing this multidimensional portrait of one of today’s leading creative visionaries.
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