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Book
Uniform distribution of sequences of integers in residue classes
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ISBN: 3540138722 0387138722 3540390634 9783540138723 Year: 1984 Volume: 1087 Publisher: Berlin Heidelberg New York Springer


Book
Uniform distribution in GF[brace]q,x[brace] and GF[q,x]
Author:
Year: 1971 Publisher: Delft, Netherlands] : [s.n.,

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Periodical
Uniform distribution theory : the Journal of Slovak Academy of Sciences.
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ISSN: 23095377 Year: 2006 Publisher: Bratislava : Mathematical Institute of the Slovak Academy of Sciences


Book
Theorie der Gleichverteilung
Author:
ISBN: 3411015659 9783411015658 Year: 1979 Publisher: Mannheim Bibliographisches Institut

Some connections between isoperimetric and Sobolev-type inequalities
Authors: ---
ISSN: 00659266 ISBN: 0821806424 9780821806425 Year: 1997 Volume: 616 Publisher: Providence (R.I.): American Mathematical Society

Food Webs and Niche Space. (MPB-11), Volume 11
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ISBN: 0691082022 0691209448 0691082014 Year: 1978 Publisher: Princeton : Baltimore, Md. : Princeton University Press, Project MUSE,

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What is the minimum dimension of a niche space necessary to represent the overlaps among observed niches? This book presents a new technique for obtaining a partial answer to this elementary question about niche space. The author bases his technique on a relation between the combinatorial structure of food webs and the mathematical theory of interval graphs. Professor Cohen collects more than thirty food webs from the ecological literature and analyzes their statistical and combinatorial properties in detail. As a result, he is able to generalize: within habitats of a certain limited physical and temporal heterogeneity, the overlaps among niches, along their trophic (feeding) dimensions, can be represented in a one-dimensional niche space far more often than would be expected by chance alone and perhaps always. This compatibility has not previously been noticed. It indicates that real food webs fall in a small subset of the mathematically possible food webs. Professor Cohen discusses other apparently new features of real food webs, including the constant ratio of the number of kinds of prey to the number of kinds of predators in food webs that describe a community. In conclusion he discusses possible extensions and limitations of his results and suggests directions for future research.

Sequences, discrepancies and applications
Authors: --- ---
ISBN: 3540626069 354068333X 9783540626060 9781469629407 9781469629391 Year: 1997 Volume: 1651 Publisher: Berlin : Springer,

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The main purpose of this book is to give an overview of the developments during the last 20 years in the theory of uniformly distributed sequences. The authors focus on various aspects such as special sequences, metric theory, geometric concepts of discrepancy, irregularities of distribution, continuous uniform distribution and uniform distribution in discrete spaces. Specific applications are presented in detail: numerical integration, spherical designs, random number generation and mathematical finance. Furthermore over 1000 references are collected and discussed. While written in the style of a research monograph, the book is readable with basic knowledge in analysis, number theory and measure theory.


Book
An Introduction to Benford's Law
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ISBN: 9781400866588 Year: 2015 Publisher: Princeton, NJ

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This book provides the first comprehensive treatment of Benford's law, the surprising logarithmic distribution of significant digits discovered in the late nineteenth century. Establishing the mathematical and statistical principles that underpin this intriguing phenomenon, the text combines up-to-date theoretical results with overviews of the law's colorful history, rapidly growing body of empirical evidence, and wide range of applications.An Introduction to Benford's Law begins with basic facts about significant digits, Benford functions, sequences, and random variables, including tools from the theory of uniform distribution. After introducing the scale-, base-, and sum-invariance characterizations of the law, the book develops the significant-digit properties of both deterministic and stochastic processes, such as iterations of functions, powers of matrices, differential equations, and products, powers, and mixtures of random variables. Two concluding chapters survey the finitely additive theory and the flourishing applications of Benford's law.Carefully selected diagrams, tables, and close to 150 examples illuminate the main concepts throughout. The text includes many open problems, in addition to dozens of new basic theorems and all the main references. A distinguishing feature is the emphasis on the surprising ubiquity and robustness of the significant-digit law. This text can serve as both a primary reference and a basis for seminars and courses.


Book
Metal Matrix Composites
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Year: 2020 Publisher: Basel, Switzerland MDPI - Multidisciplinary Digital Publishing Institute

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Metal-based composites represent a unique way of tailoring the properties of metals, through the selection of type, size, and amount of reinforcement. In this way, the properties of metallic matrices can be adjusted depending on end applications. In view of the dynamic capabilities they can exhibit, this Special Issue will cover all aspects of metal matrix composites: synthesis (including solid, liquid, two-phase and 3D printing); secondary processing; properties (tensile, compressive, fatigue, impact, creep, tribological, etc.); corrosion behavior; and joining techniques. The main objective is to share the latest results on metal matrix composites with the research community worldwide.

Keywords

History of engineering & technology --- Mg-3Al-0.4Ce alloy --- nano ZnO particles --- uniform distribution --- strength --- titanium matrix composite --- constitutive model --- interfacial debonding --- high temperature --- elastoplastic properties --- nano-sized SiCp --- aluminum matrix composites --- mechanical properties --- microstructures --- Mg-Al-RE alloy --- magnesium alloy --- damping --- Al11La3 phase --- nanosize reinforcement --- spark plasma sintering --- Cu-TiC --- in-situ composites --- mechanical milling --- iron aluminum alloys --- cold/hot PM --- compressibility factor --- wear resistance --- Al-Zn-Cr alloys --- powder metallurgy --- strengthening --- extrusion --- dry sliding wear --- synthesis of core-shell metal nanoparticles --- Cu@Ag composite nanoparticle --- metal mesh --- screen printing --- touch screen panel --- tungsten composites --- tungsten-fibre-net reinforcement --- tensile strength --- metal matrix composites --- nickel --- aluminum --- carbon nanotubes --- ultrasonication --- microstructural characterization --- Magnesium --- Sm2O3 nanoparticles --- compression properties --- microstructure --- ignition --- carbon nanotube --- nanocomposite --- dispersion --- interfacial adhesion --- phase transformation --- physicomechanical properties --- nanoparticles --- metal matrix nanocomposite (MMNC) --- AlN --- magnesium alloy AM60 --- strengthening mechanisms --- in situ titanium composites --- microstructure analysis --- TiB precipitates --- 7075 Al alloy --- reduced graphene oxide --- strengthening mechanism --- metal matrix nanocomposite --- copper --- graphene --- thermal expansion coefficient --- thermal conductivity --- electrical resistance --- thixoforging --- magnesium-based composite --- fracture --- magnesium-alloy-based composite --- Halpin-Tsai-Kardos model --- deformation behavior --- composite strengthening --- fracture behavior --- magnesium --- high entropy alloy --- composite --- hardness --- compressive properties --- tricalcium phosphate --- compression --- corrosion --- Mg-3Al-0.4Ce alloy --- nano ZnO particles --- uniform distribution --- strength --- titanium matrix composite --- constitutive model --- interfacial debonding --- high temperature --- elastoplastic properties --- nano-sized SiCp --- aluminum matrix composites --- mechanical properties --- microstructures --- Mg-Al-RE alloy --- magnesium alloy --- damping --- Al11La3 phase --- nanosize reinforcement --- spark plasma sintering --- Cu-TiC --- in-situ composites --- mechanical milling --- iron aluminum alloys --- cold/hot PM --- compressibility factor --- wear resistance --- Al-Zn-Cr alloys --- powder metallurgy --- strengthening --- extrusion --- dry sliding wear --- synthesis of core-shell metal nanoparticles --- Cu@Ag composite nanoparticle --- metal mesh --- screen printing --- touch screen panel --- tungsten composites --- tungsten-fibre-net reinforcement --- tensile strength --- metal matrix composites --- nickel --- aluminum --- carbon nanotubes --- ultrasonication --- microstructural characterization --- Magnesium --- Sm2O3 nanoparticles --- compression properties --- microstructure --- ignition --- carbon nanotube --- nanocomposite --- dispersion --- interfacial adhesion --- phase transformation --- physicomechanical properties --- nanoparticles --- metal matrix nanocomposite (MMNC) --- AlN --- magnesium alloy AM60 --- strengthening mechanisms --- in situ titanium composites --- microstructure analysis --- TiB precipitates --- 7075 Al alloy --- reduced graphene oxide --- strengthening mechanism --- metal matrix nanocomposite --- copper --- graphene --- thermal expansion coefficient --- thermal conductivity --- electrical resistance --- thixoforging --- magnesium-based composite --- fracture --- magnesium-alloy-based composite --- Halpin-Tsai-Kardos model --- deformation behavior --- composite strengthening --- fracture behavior --- magnesium --- high entropy alloy --- composite --- hardness --- compressive properties --- tricalcium phosphate --- compression --- corrosion

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