Mathematical applications

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  • Mathematics is the science study of the number, structure, and spatial transformations. In other words, it is assumed that subjects' shape and number. "According to the official view, it is the study of the abstract structure defined from the axioms, using Logic (logic) and mathematical symbols. The other point of it is described in mathematical philosophy. Due to their wide applications in many science, mathematics is known as the "universal language". Experts in the field of mathematics known as mathematicians....

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  • Preface are not communicated to the people who must apply them. Control problems arise in the plant and must be solved in the plant. Until plant engineers and control designers are able to communicate with each other, their mutual problems await solution. I do not mean to imply that abstract mathematics is not capable of solving control problems, but it is striking how often the same solution can be reached by using good common sense. High-order equations and high-speed computers can be manipulated to the point where common sense is dulled....

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  • This book contains some of the contributions, divided into five main sections, that have been carefully selected and peer-reviewed, which were presented at the International Symposium MME06 Mathematical Methods in Engineering, held in Cankaya University, Ankara, April 27—29, 2006. The Symposium provided a setting for discussing recent developments in Fractional Mathematics, Neutrices and Generalized Functions, Boundary Value Problems, Applications of Wavelets, Dynamical Systems and Control Theory....

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  • The final chapter of the book presents an innovative method for fluid mechanical design in which an object within the flow field is build element-by-element. Each element is introduced into the flow, and its effect on a cost function is minimized with respect to the object’s position. An element may represent added material or a removed part of the existing structure. This chapter presents a strong degree of mathematical formality.

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  • The first edition of this text was published in 1981. Each subsequent revision since then has undergone more than a few changes. Topics have been added, com- puter software and simulations introduced, and examples redone. What has not changed over the years is our pedagogical focus. As the title indicates, this book is an introduction to mathematical statistics and its applications. Those last three words are not an afterthought.

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  • This book offers a concise introduction to the art of building simulation software, collecting the most important concepts and algorithms in one place. Written for both individuals new to the field of modeling and simulation as well as experienced practitioners, this guide explains the design and implementation of simulation software used in the engineering of large systems while presenting the relevant mathematical elements, concept discussions, and code development.

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  • Since its original publication in 1990, Kenneth Falconer's Fractal Geometry: Mathematical Foundations and Applications has become a seminal text on the mathematics of fractals. It introduces the general mathematical theory and applications of fractals in a way that is accessible to students from a wide range of disciplines. This new edition has been extensively revised and updated. It features much new material, many additional exercises, notes and references, and an extended bibliography that reflects the development of the subject since the first edition.

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  • Although many other models of concurrent and distributed systems have been developed since the introduction in 1964 Petri nets are still an essential model for concurrent systems with respect to both the theory and the applications. The main attraction of Petri nets is the way in which the basic aspects of concurrent systems are captured both conceptually and mathematically. The intuitively appealing graphical notation makes Petri nets the model of choice in many applications.

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  • This Second Edition of the go-to reference combines the classical analysis and modern applications of applied mathematics for chemical engineers. The book introduces traditional techniques for solving ordinary differential equations (ODEs), adding new material on approximate solution methods such as perturbation techniques and elementary numerical solutions. It also includes analytical methods to deal with important classes of finite-difference equations. The last half discusses numerical solution techniques and partial differential equations (PDEs). The read...

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  • "This book is clearly written and presents a large number of examples illustrating the theory . . . there is no other book of comparable content available. Because of its detailed coverage of applications generally neglected in the literature, it is a desirable if not essential addition to undergraduate mathematics and computer science libraries.

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  •                Word 2010 for Mathematics Teachers and Students    © Gerrit Stols 2010      You are allowed to use this document for your own personal use.   Written permission from the author must be obtained in order to use it for any other purpose.     If you want to use it for workshops or training purposes I request a donation of $5 for each participant or copy. Go to the website http://school-maths.com to make a donation! 

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  • This book introduces a variety of problem statements in classical optimal control, in optimal estimation and filtering, and in optimal control problems with non-scalar-valued performance criteria. Many example problems are solved completely in the body of the text. All chapter-end exercises are sketched in the appendix. The theoretical part of the book is based on the calculus of variations, so the exposition is very transparent and requires little mathematical rigor.

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  • Although Continuum Mechanics belongs to a traditional topic, the research in this field has never been stopped. The goal of this book is to introduce the latest progress in the fundamental aspects and the applications in various engineering areas. The first three chapters are on the fundamentals of Continuum Mechanics. Chapter 1 introduces the Spencer Operator and presents the applications of this useful operator in solving Continuum Mechanics problems. The authors extend the ideas for tackling general Mathematical Physics problems. Chapter 2 is on Transversality Condition.

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  • In the past 15 years, molecular biologists and geneticists have uncovered some of the most basic mechanisms by means of which normal stem cells in a certain organ or tissue develop into cancerous tumors. This biological knowledge serves as a basis for various models of carcinogenesis.

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  • Tham khảo sách 'solid geometry with problems and applications (revised edition)', khoa học tự nhiên, toán học phục vụ nhu cầu học tập, nghiên cứu và làm việc hiệu quả

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  • In this paper we characterize irreducible generic representations of SO2n+1 (k) (where k is a p-adic field) by means of twisted local gamma factors (the Local Converse Theorem). As applications, we prove that two irreducible generic cuspidal automorphic representations of SO2n+1 (A) (where A is the ring of adeles of a number field) are equivalent if their local components are equivalent at almost all local places (the Rigidity Theorem); and prove the Local Langlands Reciprocity Conjecture for generic supercuspidal representations of SO2n+1 (k). ...

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  • This Doctoral dissertation in mathematics: Coderivatives of normal cone mappings and applications this dissertation studies some proplem related to the genneralized differ - entiation theory of Mordukhovich and its applications. Our main efforts concentrate on computing or estimating the Fréchet coderivative and the Mordukhovich.

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  • This fourth volume of the Mathematical Papers of Sir William Rowan Hamilton completes the project begun, in 1925, by the instigators and ®rst Editors: Arthur William Conway (1875±1950) and John Lighton Synge (1897±1995). It contains Hamilton's published papers on geometry, analysis, astronomy, probability and ®nite differences, and a miscellany of publications including several addresses.

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  • We discuss the proof of and systematic application of Case’s sum rules for Jacobi matrices. Of special interest is a linear combination of two of his sum rules which has strictly positive terms. Among our results are a complete classification of the spectral measures of all Jacobi matrices J for which J − J0 is Hilbert-Schmidt, and a proof of Nevai’s conjecture that the Szeg˝ condition o holds if J − J0 is trace class.

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  • An exact sequence for KM /2 ∗ with applications to quadratic forms By D. Orlov,∗ A. Vishik,∗∗ and V. Voevodsky∗∗* Contents 1. Introduction 2. An exact sequence for KM /2 ∗ 3. Reduction to points of degree 2 4. Some applications 4.1. Milnor’s Conjecture on quadratic forms 4.2. The Kahn-Rost-Sujatha Conjecture 4.3. The J-filtration conjecture 1. Introduction Let k be a field of characteristics zero. For a sequence a = (a1 , . . .

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