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Probabilistic Methods for Algorithmic Discrete Mathematics

Leave nothing to chance. This cliche embodies the common belief that ran domness has no place in carefully planned methodologies, every step should be spelled out, each i dotted and each t crossed. In discrete mathematics at least, nothing could be further from the truth. Introducing random choices into algorithms can improve their performance. The application of proba bilistic tools has led to the resolution of combinatorial problems which had resisted attack for decades. The chapters in this volume explore and celebrate this fact. Our intention was to bring together, for the first time, accessible discus sions of the disparate ways in which probabilistic ideas are enriching discrete mathematics. These discussions are aimed at mathematicians with a good combinatorial background but require only a passing acquaintance with the basic definitions in probability (e.g. expected value, conditional probability). A reader who already has a firm grasp on the area will be interested in the original research, novel syntheses, and discussions of ongoing developments scattered throughout the book. Some of the most convincing demonstrations of the power of these tech niques are randomized algorithms for estimating quantities which are hard to compute exactly. One example is the randomized algorithm of Dyer, Frieze and Kannan for estimating the volume of a polyhedron. To illustrate these techniques, we consider a simple related problem. Suppose S is some region of the unit square defined by a system of polynomial inequalities: Pi (x. y) ~ o.

The application of proba bilistic tools has led to the resolution of combinatorial problems which had resisted attack for decades. The chapters in this volume explore and celebrate this fact.

Discrete Mathematics

Elementary and Beyond

Aimed at undergraduate mathematics and computer science students, this book is an excellent introduction to a lot of problems of discrete mathematics. It discusses a number of selected results and methods, mostly from areas of combinatorics and graph theory, and it uses proofs and problem solving to help students understand the solutions to problems. Numerous examples, figures, and exercises are spread throughout the book.

Aimed at undergraduate mathematics and computer science students, this book is an excellent introduction to a lot of problems of discrete mathematics.

Sejarah dan budaya Sulawesi Barat

History of Sulawesi Barat Province, Indonesia.

Namun ternyata mendapat penolakan dari pihak kerajaan Gowa sehingga ia
memintah izin pada Karaeng Binamu dan diizinkan menetap di Cikoang dan
menyiarkan ajaran Islam di sana. Sementara para penduduk di wilayah Mandar
juga ...

Current approaches to the teaching of grammar in ESL

CURRENT APPROACHES TO THE TEACHING OF GRAMMAR IN ESL The
teaching of English as a second language has been in a state of flux for several
years, primarily because the audiolingual method of language teaching has
undergone a critical reevaluation fostered by the advocates of a more "cognitive"
approach. In many educational centers there has been a clear and conscious
movement away from the traditional techniques of mimicry and choral response
toward an ...

Approaches to Teaching Stendhal's The Red and the Black

Now at seventy-three volumes, this popular MLA series (ISSN 10591133) addresses a broad range of literary texts. Each volume surveys teaching aids and critical material and brings together essays that apply a variety of perspectives to teaching the text. Upper-level undergraduate and graduate students, student teachers, education specialists, and teachers in all humanities disciplines will find these volumes particularly helpful.

Now at seventy-three volumes, this popular MLA series (ISSN 10591133) addresses a broad range of literary texts.

Usage-Based Approaches to Language Acquisition and Language Teaching

Although usage-based approaches have been successfully applied to the study of both first and second language acquisition, to monolingual and bilingual development, and to naturalistic and instructed settings, it is not common to consider these different kinds of acquisition in tandem. The present volume takes an integrative approach and shows that usage-based theories provide a much needed unified framework for the study of first, second and foreign language acquisition, in monolingual and bilingual contexts. The contributions target the acquisition of a wide range of linguistic phenomena and critically assess the applicability and explanatory power of the usage-based paradigm. The book also systematically examines a range of cognitive and linguistic factors involved in the process of language development and relates relevant findings to language teaching. Finally, this volume contributes to the assessment and refinement of empirical methods currently employed in usage-based acquisition research. This book is of interest to scholars of language acquisition, language pedagogy, developmental psychology, as well as Cognitive Linguistics and Construction Grammar.

This volume presents state-of-the-art research on language acquisition from the perspective of usage-based approaches.

Perang kota kecil

kekerasan komunal dan demokratisasi di Indonesia

... bulu-bulu, berarti pesan agar para pejuang jangan pandang bulu, dengan
demikian harus membunuh sebanyak mungkin musuh tanpa melihat apakah
mereka kaum pria, wanita, atau anak-anak” (Schiller dan Garang 2002). Identitas
dari jenis yang ganas terdapat di jantung kekerasan komunal yang telah terjadi
berulang kali di Kalimantan Barat. Bab ini mempertanyakan bagaimana identitas
seperti itu terbentuk dan bagaimana identitas semacam bisa menciptakan
kekerasan.