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Invocations Inspired by the Qur'an
This book is comprised of invocations or supplications (du’aa) that are inspired by various sets of selected stimulating verses from the Qur’an, which, in themselves, are particularly worthy of pondering and reflecting upon. The fundamental concept here is that, while reading the Qur’an, if one recites a verse that elicits a certain thought or emotion, then one should make a corresponding invocation in its reflection. Moreover, the invocations composed in this book are not just based on directly supplicating verses from the Qur’an, but also on various inspirational collection of verses from this Glorious Book that move one’s heart and prompt a heartfelt supplication in response. The reader is encouraged to revisit and ponder and reflect on these verses.
Applied Optimization Methods for Wireless Networks
Written in a unique style, this book is a valuable resource for faculty, graduate students, and researchers in the communications and networking area whose work interfaces with optimization. It teaches you how various optimization methods can be applied to solve complex problems in wireless networks. Each chapter reviews a specific optimization method and then demonstrates how to apply the theory in practice through a detailed case study taken from state-of-the-art research. You will learn various tips and step-by-step instructions for developing optimization models, reformulations, and transformations, particularly in the context of cross-layer optimization problems in wireless networks involving flow routing (network layer), scheduling (link layer), and power control (physical layer). Throughout, a combination of techniques from both operations research and computer science disciplines provides a holistic treatment of optimization methods and their applications. Each chapter includes homework exercises, with PowerPoint slides and a solutions manual for instructors available online.
Linear Programming and Network Flows
The authoritative guide to modeling and solving complex problems with linear programming—extensively revised, expanded, and updated The only book to treat both linear programming techniques and network flows under one cover, Linear Programming and Network Flows, Fourth Edition has been completely updated with the latest developments on the topic. This new edition continues to successfully emphasize modeling concepts, the design and analysis of algorithms, and implementation strategies for problems in a variety of fields, including industrial engineering, management science, operations research, computer science, and mathematics. The book begins with basic results on linear algebra and conv...
Nonlinear Programming
COMPREHENSIVE COVERAGE OF NONLINEAR PROGRAMMING THEORY AND ALGORITHMS, THOROUGHLY REVISED AND EXPANDED Nonlinear Programming: Theory and Algorithms—now in an extensively updated Third Edition—addresses the problem of optimizing an objective function in the presence of equality and inequality constraints. Many realistic problems cannot be adequately represented as a linear program owing to the nature of the nonlinearity of the objective function and/or the nonlinearity of any constraints. The Third Edition begins with a general introduction to nonlinear programming with illustrative examples and guidelines for model construction. Concentration on the three major parts of nonlinear program...
Nonlinear Programming
Presents recent developments of key topics in nonlinear programming using a logical and self-contained format. Divided into three sections that deal with convex analysis, optimality conditions and duality, computational techniques. Precise statements of algorithms are given along with convergence analysis. Each chapter contains detailed numerical examples, graphical illustrations and numerous exercises to aid readers in understanding the concepts and methods discussed.
Linear Programming and Network Flows
Table of contents
A Reformulation-Linearization Technique for Solving Discrete and Continuous Nonconvex Problems
This book deals with the theory and applications of the Reformulation- Linearization/Convexification Technique (RL T) for solving nonconvex optimization problems. A unified treatment of discrete and continuous nonconvex programming problems is presented using this approach. In essence, the bridge between these two types of nonconvexities is made via a polynomial representation of discrete constraints. For example, the binariness on a 0-1 variable x . can be equivalently J expressed as the polynomial constraint x . (1-x . ) = 0. The motivation for this book is J J the role of tight linear/convex programming representations or relaxations in solving such discrete and continuous nonconvex progr...
Spiritual Discourses
This book is comprised of a compendium of motivational essays that are intended to stimulate the mind and stir the heart toward sensing the magnificence of the Almighty Lord, Allah (Glory be to Him, the Most High), as also to experience the beauty and wisdom of Islam, and to imbibe the principles and precepts of life taught by Prophet Muhammad (peace and blessings be upon him). The style of these discourses is generally intended to educate both Muslims and non-Muslims on the spirit and values of Islam, and on recognizing humanity and human attributes within oneself, as well as to share Islamic ethics, morality, philosophies, and principles so as to promote the understanding of Islam and to illuminate the purpose of life. Each essay is motivated by several particularly insightful verses from the Quran and traditions and sayings of the Prophet, which in themselves are enlightening to read and reflect upon.
Optimization with Disjunctive Constraints
The disjunctive cut principle of Balas and Jeroslow, and the related polyhedral annexation principle of Glover, provide new insights into cutting plane theory. This has resulted in its ability to not only subsume many known valid cuts but also improve upon them. Originally a set of notes were written for the purpose of putting together in a common terminology and framework significant results of Glover and others using a geometric approach, referred to in the literature as convexity cuts, and the algebraic approach of Balas and Jeroslow known as Disjunctive cuts. As it turned out subsequently the polyhedral annexation approach of Glover is also closely connected with the basic disjunctive pr...
Advances in Applied Mathematics and Global Optimization
The articles that comprise this distinguished annual volume for the Advances in Mechanics and Mathematics series have been written in honor of Gilbert Strang, a world renowned mathematician and exceptional person. Written by leading experts in complementarity, duality, global optimization, and quantum computations, this collection reveals the beauty of these mathematical disciplines and investigates recent developments in global optimization, nonconvex and nonsmooth analysis, nonlinear programming, theoretical and engineering mechanics, large scale computation, quantum algorithms and computation, and information theory.
