Two Point Two
Two Point Two

Author: Ashutosh Kumar

Publisher: Notion Press

Published: 2024-07-20

Total Pages: 179

ISBN-13:

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Darsh has a burning ambition to be the Gymkhana Vice President at IIT Kharagpur. To him, the ends outweigh the means. Ada wants to keep him in check. Abhik runs a newsmagazine on campus. Saad yearns for respect and love. Their friendship is tested when Abhik’s magazine carries a story against Darsh. Ada, faced with an unexpected situation, is forced to confront Darsh. Saad has to choose sides. Will their quest for right and wrong come to an end? Or will they discover a balance? The 2.2 km long road, which traverses the IIT campus and connects everyone, literally and metaphorically, has the answers.

Calculus and Mechanics on Two-Point Homogenous Riemannian Spaces
Calculus and Mechanics on Two-Point Homogenous Riemannian Spaces

Author: Alexey V. Shchepetilov

Publisher: Springer

Published: 2006-09-04

Total Pages: 267

ISBN-13: 3540353860

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This is an introduction to classical and quantum mechanics on two-point homogenous Riemannian spaces, empahsizing spaces with constant curvature. Chapters 1-4 provide basic notations for studying two-body dynamics. Chapter 5 deals with the problem of finding explicitly invariant expressions for the two-body quantum Hamiltonian. Chapter 6 addresses one-body problems in a central potential. Chapter 7 investigates the classical counterpart of the quantum system introduced in Chapter 5. Chapter 8 discusses applications in the quantum realm.

Eigenvalues and Completeness for Regular and Simply Irregular Two-Point Differential Operators
Eigenvalues and Completeness for Regular and Simply Irregular Two-Point Differential Operators

Author: John Locker

Publisher: American Mathematical Soc.

Published: 2008

Total Pages: 194

ISBN-13: 0821841718

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In this monograph the author develops the spectral theory for an $n$th order two-point differential operator $L$ in the Hilbert space $L2[0,1]$, where $L$ is determined by an $n$th order formal differential operator $\ell$ having variable coefficients and by $n$ linearly independent boundary values $B 1, \ldots, B n$. Using the Birkhoff approximate solutions of the differential equation $(\rhon I - \ell)u = 0$, the differential operator $L$ is classified as belonging to one of threepossible classes: regular, simply irregular, or degenerate irregular. For the regular and simply irregular classes, the author develops asymptotic expansions of solutions of the differential equation $(\rhon I - \ell)u = 0$, constructs the characteristic determinant and Green's function,characterizes the eigenvalues and the corresponding algebraic multiplicities and ascents, and shows that the generalized eigenfunctions of $L$ are complete in $L2[0,1]$. He also gives examples of degenerate irregular differential operators illustrating some of the unusual features of this class.

Two-Point Boundary Value Problems: Lower and Upper Solutions
Two-Point Boundary Value Problems: Lower and Upper Solutions

Author: C. De Coster

Publisher: Elsevier

Published: 2006-03-21

Total Pages: 502

ISBN-13: 0080462472

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This book introduces the method of lower and upper solutions for ordinary differential equations. This method is known to be both easy and powerful to solve second order boundary value problems. Besides an extensive introduction to the method, the first half of the book describes some recent and more involved results on this subject. These concern the combined use of the method with degree theory, with variational methods and positive operators. The second half of the book concerns applications. This part exemplifies the method and provides the reader with a fairly large introduction to the problematic of boundary value problems. Although the book concerns mainly ordinary differential equations, some attention is given to other settings such as partial differential equations or functional differential equations. A detailed history of the problem is described in the introduction. · Presents the fundamental features of the method· Construction of lower and upper solutions in problems· Working applications and illustrated theorems by examples· Description of the history of the method and Bibliographical notes

Perspective for Artists
Perspective for Artists

Author: Rex Vicat Cole

Publisher: Courier Corporation

Published: 2012-04-30

Total Pages: 287

ISBN-13: 0486134547

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Depth, perspective of sky and sea, shadows, much more, not usually covered. 391 diagrams, 81 reproductions of drawings and paintings.

Spectral Theory of Non-Self-Adjoint Two-Point Differential Operators
Spectral Theory of Non-Self-Adjoint Two-Point Differential Operators

Author: John Locker

Publisher: American Mathematical Soc.

Published: 2000

Total Pages: 266

ISBN-13: 0821820494

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Develops the spectral theory of an nth order non-self-adjoint two- point differential operator L in the complex Hilbert space L2[0,1]. The differential operator L is determined by an nth order formal differential l and by n linearly independent boundary values B1,.,Bn. Locker first lays the foundations of the spectral theory for closed linear operators and Fredholm operators in Hilbert spaces before developing the spectral theory of the differential operator L. The book is a sequel to Functional analysis and two-point differential operators, 1986. Annotation copyrighted by Book News, Inc., Portland, OR.

Practical Guide to Finite Elements
Practical Guide to Finite Elements

Author: Steven Lepi

Publisher: CRC Press

Published: 1998-03-03

Total Pages: 550

ISBN-13: 9780824700751

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Assuming only basic knowledge of mathematics and engineering mechanics, this lucid reference introduces the fundamentals of finite element theory using easy-to-understand terms and simple problems-systematically grounding the practitioner in the basic principles then suggesting applications to more general cases. Furnishes a wealth of practical insights drawn from the extensive experience of a specialist in the field! Generously illustrated with over 200 detailed drawings to clarify discussions and containing key literature citations for more in-depth study of particular topics, this clearly written resource is an exceptional guide for mechanical, civil, aeronautic, automotive, electrical and electronics, and design engineers; engineering managers; and upper-level undergraduate, graduate, and continuing-education students in these disciplines.

Introduction to Genetic Algorithms
Introduction to Genetic Algorithms

Author: S.N. Sivanandam

Publisher: Springer Science & Business Media

Published: 2007-10-24

Total Pages: 453

ISBN-13: 3540731903

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This book offers a basic introduction to genetic algorithms. It provides a detailed explanation of genetic algorithm concepts and examines numerous genetic algorithm optimization problems. In addition, the book presents implementation of optimization problems using C and C++ as well as simulated solutions for genetic algorithm problems using MATLAB 7.0. It also includes application case studies on genetic algorithms in emerging fields.