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Author: Dan Gusfield
Publisher: MIT Press (MA)
ISBN: 9780262071185
Category : Computers
Languages : en
Pages : 240
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Book Description
This book probes the stable marriage problem and its variants as a rich source of problems and ideas that illustrate both the design and analysis of efficient algorithms. It covers the most recent structural and algorithmic work on stable matching problems, simplifies and unifies many earlier proofs, strengthens several earlier results, and presents new results and more efficient algorithms. The authors develop the structure of the set of stable matchings in the stable marriage problem in a more general and algebraic context than has been done previously; they discuss the problem's structure in terms of rings of sets, which allows many of the most useful features to be seen as features of a more general set of problems. The relationship between the structure of the stable marriage problem and the more general stable roommates problem is demonstrated, revealing many commonalities. The results the authors obtain provide an algorithmic response to the practical, and political, problems created by the asymmetry inherent in the Gale Shapley solutions, leading to alternative methods and better compromises than are provided by the Gale Shapley method. And, in contrast to Donald Knuth's earlier work which primarily focused on the application of mathematics to the analysis of algorithms, this book illustrates the productive and almost inseparable relationship between mathematical insight and the design of efficient algorithms. Dan Gusfield is Associate Professor of Computer Science at the University of California, Davis. Robert W. Irving is Senior Lecturer in Computing Science at the University of Glasgow. The Stable Marriage Problem is included in the Foundations of Computing Series, edited by Michael Garey and Albert Meyer.
Author: Dan Gusfield
Publisher:
ISBN: 9780262515528
Category : Combinatorial analysis
Languages : en
Pages : 0
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Book Description
This book probes the stable marriage problem and its variants as a rich source of problems and ideas that illustrate both the design and analysis of efficient algorithms. It covers the most recent structural and algorithmic work on stable matching problems, simplifies and unifies many earlier proofs, strengthens several earlier results, and presents new results and more efficient algorithms.The authors develop the structure of the set of stable matchings in the stable marriage problem in a more general and algebraic context than has been done previously; they discuss the problem's structure in terms of rings of sets, which allows many of the most useful features to be seen as features of a more general set of problems. The relationship between the structure of the stable marriage problem and the more general stable roommates problem is demonstrated, revealing many commonalities.The results the authors obtain provide an algorithmic response to the practical, and political, problems created by the asymmetry inherent in the Gale Shapley solutions, leading to alternative methods and better compromises than are provided by the Gale Shapley method. And, in contrast to Donald Knuth's earlier work which primarily focused on the application of mathematics to the analysis of algorithms, this book illustrates the productive and almost inseparable relationship between mathematical insight and the design of efficient algorithms.Dan Gusfield is Associate Professor of Computer Science at the University of California, Davis. Robert W. Irving is Senior Lecturer in Computing Science at the University of Glasgow. The Stable Marriage Problem is included in the Foundations of Computing Series, edited by Michael Garey and Albert Meyer.
Author: James Q. Wilson
Publisher: Harper Paperbacks
ISBN: 9780060935269
Category : Political Science
Languages : en
Pages : 288
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Book Description
There are two Americas. One boasts solid families, well-paying jobs, safe homes, and good education. The other has children raised by one parent, poor neighborhoods, crime, and low-paying jobs. What has caused the divide? In this penetrating study, James Q. Wilson argues that the answer lies in the importance of marriage and the devastating effects of divorce and cohabitation. Wilson's meticulous research shows how the erosion of family life has damaged children's futures, leading to school dropouts, teenage pregnancy, and a greater likelihood of emotional problems, drug use, and criminal activity. With precision and persuasiveness, he reveals the sources of today's crisis -- from the glittering ideals of the Enlightenment to the shameful practice of American slavery -- while also offering bold solutions. Incisive, intelligent, and thought-provoking, The Marriage Problem is a clarion call to rebuild the family, and society, by returning a solid marital structure to its core.
Author: Jay E. Adams
Publisher: Harper Collins
ISBN: 0310510813
Category : Psychology
Languages : en
Pages : 146
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Book Description
This book will help counselors understand and deal with the typical problems that arise in a marriage. The approach is to offer not merely solutions, but biblical solutions. Chapter by chapter, each problem that is brought into focus is addressed by Scripture, and a solution arising from Scripture is developed. Unless one understands what a biblical marriage is supposed to be, it is difficult to solve marriage problems. For that reason, Dr. Adams spends the first few chapters developing a biblical model. Then he treats many of the specific kinds of problems that typically arise : life patterns, priorities, children, sex roles, in-laws, and so forth. - Back cover.
Author: Michele Weiner Davis
Publisher: Simon and Schuster
ISBN: 0671797255
Category : Family & Relationships
Languages : en
Pages : 256
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Book Description
A step-by-step approach to making your marriage loving again.
Author: Donald Ervin Knuth
Publisher: American Mathematical Soc.
ISBN: 0821806033
Category : Mathematics
Languages : en
Pages : 90
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Book Description
Uses the theory of stable marriage to introduce and illustrate a variety of important concepts and techniques of computer science and mathematics: data structures, control structures, combinatorics, probability, analysis, algebra, and especially the analysis of algorithms.
Author: Alex Bellos
Publisher: Simon and Schuster
ISBN: 1451640129
Category : Mathematics
Languages : en
Pages : 352
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Book Description
From triangles, rotations and power laws, to cones, curves and the dreaded calculus, Alex takes you on a journey of mathematical discovery with his signature wit and limitless enthusiasm. He sifts through over 30,000 survey submissions to uncover the world’s favourite number, and meets a mathematician who looks for universes in his garage. He attends the World Mathematical Congress in India, and visits the engineer who designed the first roller-coaster loop. Get hooked on math as Alex delves deep into humankind’s turbulent relationship with numbers, and reveals how they have shaped the world we live in.
Author: Chuck Bentley
Publisher: Moody Publishers
ISBN: 0802495796
Category : Religion
Languages : en
Pages : 177
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Book Description
It’s not just about the money... Arguments about money are by far the top predictor of divorce, says Sonya Britt, a professor at Kansas State University. “It's not children, sex, in-laws, or anything else. It's money—for both men and women." Satan seeks every means possible to destroy marriages, and creating conflict around finances is one of his favorite tactics. But there is more to money problems than not sticking to the budget. Chuck and Ann Bentley reveal the underlying issues of financial and relational discord—and show how it robs couples of joy, intimacy, and marital satisfaction. Money Problems, Marriage Solutions presents seven keys to peace in marriage and helps couples unite and conquer to resolve financial issues together. Through real-life stories, a solid foundation from Scripture, and practical steps for application, this book gives a plan for getting back on the same team. Here is a clear and lasting way forward for couples struggling with money problems.
Author: Tony Evans
Publisher: Focus on the Family
ISBN: 158997820X
Category : Religion
Languages : en
Pages : 205
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Book Description
What happens when a kingdom man marries a kingdom woman? Kingdom Marriage: Connecting God's Purpose with Your Pleasure helps couples grow together as a kingdom couple to fulfill God's design and purpose for their marriage. Through practical insights and powerful stories, Dr. Tony Evans inspires and instructs so couples will discover the hope, challenge, and guidance God's Word provides for their journey together. "You can reflect the glory of God and the unity of the Trinity through your shared purpose, honor, and love as a true kingdom couple." --Tony Evans Kingdom Marriage shows couples that the key to influencing our society and world with lasting impact is found in solidifying biblical marriage in the way God intended. It starts with both wife and husband reflecting God and His image and modeling that reflection within the roles and responsibilities of their union. This is based on a correct understanding of God's kingdom and their responsibilities in it. Kingdom Marriage and the Kingdom Marriage devotional and video resources are part of an entire line of Kingdom products by Tony Evans, including Kingdom Man, Kingdom Woman, Raising Kingdom Kids, and the Kingdom Quest strategy guides for kids and teens.
Author: Ira Gessel
Publisher: Springer Science & Business Media
ISBN: 0817648429
Category : Mathematics
Languages : en
Pages : 487
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Book Description
This volume surveys the development of combinatorics since 1930 by presenting in chronological order the fundamental results of the subject proved in over five decades of original papers by: T. van Aardenne-Ehrenfest.- R.L. Brooks.- N.G. de Bruijn.- G.F. Clements.- H.H. Crapo.- R.P. Dilworth.- J. Edmonds.- P. Erdös.- L.R. Ford, Jr.- D.R. Fulkerson.- D. Gale.- L. Geissinger.- I.J. Good.- R.L. Graham.- A.W. Hales.- P. Hall.- P.R. Halmos.- R.I. Jewett.- I. Kaplansky.- P.W. Kasteleyn.- G. Katona.- D.J. Kleitman.- K. Leeb.- B. Lindström.- L. Lovász.- D. Lubell.- C. St. J.A. Nash-Williams.- G. Pólya.-R. Rado.- F.P. Ramsey.- G.-C. Rota.- B.L. Rothschild.- H.J. Ryser.- C. Schensted.- M.P. Schützenberger.- R.P. Stanley.- G. Szekeres.- W.T. Tutte.- H.E. Vaughan.- H. Whitney.
Author: Darrin Patrick
Publisher: Thomas Nelson
ISBN: 1400205506
Category : Religion
Languages : en
Pages : 225
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Book Description
“I am a well-loved wife.” Is this something your wife would say? Here’s your guide to making those words a reality in your marriage. What do women want? This question has stumped the greatest male minds for centuries. Of course, if you’re married, a much better question is, “What does your wife want?” As Darrin and Amie Patrick reveal in this profoundly practical and transformational book, God designed your wife to want—to need—to be loved. And that design is an invitation for you to love her deeply, intentionally and passionately. Practicing ten powerful actions—including listening, pursuing, and serving—will transform you into your wife’s lifelong champion and have her nominating you for the Husband Hall of Fame. The Dude’s Guide to Marriage is for guys who want to grow, who want clear steps to improving their marriage. It’s for men who want a marriage that thrives rather than just survives. Grab this guide, and get ready to be a better husband by becoming a better man.
