...0. The problem of stacking a set of objects, such as bricks, books, or cards, on a tabletop to maximize the overhang is an attractive problem with a long history. J. G. Coffin [2] posed the problem in the “Problems and Solutions” section of this Monthly, but no solution was given there. The problem recurred from time to time over subsequent years, e.g., [18, 19], [12], [4]. Either deliberately or inadvertently, these authors all seem to have introduced the further restriction that there can be at most one object resting on top of another. Under this restriction, the harmonic stacks, described below, are easily seen to be optimal. ∗ A preliminary version of this paper [14] appeared in the Proceedings of the 17th Annual ACM-SIAM Symposium on Discrete Algorithms (SODA’06), pages 231–240. This full version is to appear in the American Mathematical Monthly. † DIMAP and Department of Computer Science, University of Warwick, Coventry CV4 7AL, UK. E-mail: msp@dcs.warwick.ac.uk ‡ School of Computer Science, Tel Aviv University, Tel Aviv 69978, Israel. E-mail: zwick@cs.tau.ac.il 1 Figure 2: Optimal stacks with 3 and 4 blocks compared with the corresponding harmonic stacks. The classical harmonic stack of size n is composed of n blocks stacked one on top of the other, 1 with the ith block from the top extending by 2i beyond the...
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...Module Booklet Course:EDEXCEL BTEC Group: Ed excel HND Group Module:Unit 23 –Human Resources Development Module type: Optional Module Code:J/601/1269 Module Credit: 15 Teaching Period: (15+6 weeks) QCF Level: 5 Contact Hours: (21*3 = 63) Lecturers: 15 weeks Assignment Support: 3 week Feedback and assessment: 3 weeks Module leader: Mr Peter Emelone Lecturer: Magdalena Wronska Start date:29/09/14 Day: Tuesday / Thursday Time: 10.00-13.00 / 14.00-17.00 Term:Spring Term CONTENTS 1. INTRODUCTION, AIMS AND OBJECTIVES 2. MODULE OUTLINE AND TEACHING METHODS 3. READING AND COURSE PREPRATION 4. LECTURE WITH DETAILED COURSE PROGRAMME AND OBJECTIVES 5. ASSESSMENT DETAILS 6. INTRODUCTION Human resource development contributes to the overall success of an organisation through providing learning, development and training opportunities to improve individual, team and organisational performance. Training and development affects everyone in the organisation and it is appropriate at every level from office junior to senior executive. Learning is complex and this unit explores the related theories and their contribution to the process of transferring learning to the workplace. It is important; therefore, for learners to appreciate that all staff should be encouraged to develop their skills and knowledge to achieve their potential and. in doing so, enable the organisation to meet its strategic objectives. Learners need to appreciate that successful organisations...
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...SCHAUM’S outlines SCHAUM’S outlines Linear Algebra Fourth Edition Seymour Lipschutz, Ph.D. Temple University Marc Lars Lipson, Ph.D. University of Virginia Schaum’s Outline Series New York Chicago San Francisco Lisbon London Madrid Mexico City Milan New Delhi San Juan Seoul Singapore Sydney Toronto Copyright © 2009, 2001, 1991, 1968 by The McGraw-Hill Companies, Inc. All rights reserved. Except as permitted under the United States Copyright Act of 1976, no part of this publication may be reproduced or distributed in any form or by any means, or stored in a database or retrieval system, without the prior written permission of the publisher. ISBN: 978-0-07-154353-8 MHID: 0-07-154353-8 The material in this eBook also appears in the print version of this title: ISBN: 978-0-07-154352-1, MHID: 0-07-154352-X. All trademarks are trademarks of their respective owners. Rather than put a trademark symbol after every occurrence of a trademarked name, we use names in an editorial fashion only, and to the benefit of the trademark owner, with no intention of infringement of the trademark. Where such designations appear in this book, they have been printed with initial caps. McGraw-Hill eBooks are available at special quantity discounts to use as premiums and sales promotions, or for use in corporate training programs. To contact a representative please e-mail us at bulksales@mcgraw-hill.com. TERMS OF USE This is a copyrighted work and The McGraw-Hill Companies,...
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...MAssignment front sheet |Qualification |Unit number, title and level | |BTEC Level5 HND Diploma in Business |Unit 14: Working With and Leading People | | |Level 5 | |Student name and ID number |Assessor name | | |Urmila Chooramun | | | | |Date issued |Completion date |Submitted on | |22nd September 2014 |12th December 2014 before 12.00 midday | | | | | ...
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...Vijay V. Vazirani College of Computing Georgia Institute of Technology Copyright c 2001 Approximation Algorithms Springer Berlin Heidelberg NewYork Barcelona Hong Kong London Milan Paris Singapore Tokyo To my parents Preface Although this may seem a paradox, all exact science is dominated by the idea of approximation. Bertrand Russell (1872–1970) Most natural optimization problems, including those arising in important application areas, are NP-hard. Therefore, under the widely believed conjecture that P = NP, their exact solution is prohibitively time consuming. Charting the landscape of approximability of these problems, via polynomial time algorithms, therefore becomes a compelling subject of scientific inquiry in computer science and mathematics. This book presents the theory of approximation algorithms as it stands today. It is reasonable to expect the picture to change with time. The book is divided into three parts. In Part I we cover a combinatorial algorithms for a number of important problems, using a wide variety of algorithm design techniques. The latter may give Part I a non-cohesive appearance. However, this is to be expected – nature is very rich, and we cannot expect a few tricks to help solve the diverse collection of NP-hard problems. Indeed, in this part, we have purposely refrained from tightly categorizing algorithmic techniques so as not to trivialize matters. Instead, we have attempted to capture, as accurately as possible, the individual character...
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...Killer Cover Letters & Resumes! WetFeet Insider Guide by Rosanne Lurie The WetFeet Research Methodology You hold in your hands a copy of the best-quality research available for job seekers. We have designed this Insider Guide to save you time doing your job research and to provide highly accurate information written precisely for the needs of the job-seeking public. (We also hope that you’ll enjoy reading it, because, believe it or not, the job search doesn’t have to be a pain in the neck.) Each WetFeet Insider Guide represents hundreds of hours of careful research and writing. We start with a review of the public information available. (Our writers are also experts in reading between the lines.) We augment this information with dozens of in-depth interviews of people who actually work for each company or industry we cover. And, although we keep the identity of the rank-and-file employees anonymous to encourage candor, we also interview the company’s recruiting staff extensively, to make sure that we give you, the reader, accurate information about recruiting, process, compensation, hiring targets, and so on. (WetFeet retains all editorial control of the product.) We also regularly survey our members and customers to learn about their experiences in the recruiting process. Finally, each Insider Guide goes through an editorial review and fact-checking process to make sure that the information and writing live up to our exacting standards before it goes out the door. Are...
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...The cultural and economic trends of Cinema in Ireland and Wales Acknowledgements This audit of cinemas in Ireland and Wales was commissioned by Sgrîn Cymru Wales and the Arts Council. The study was financially supported by the Ireland/Wales Interreg IIIA Community Initiative Programme: ERDF 2000–2006. Throughout the study we have been fortunate to benefit from the knowledge, enthusiasm and commitment of Rhian Iolo (Exhibition Manager, Sgrîn) and Siobhan Bourke (Film Adviser, Arts Council). Additional invaluable assistance was provided by Stephanie O’Callaghan, Michelle Hoctor, Antoinette O’Neill, and the staff at both Sgrîn and the Arts Council of Ireland. This study would not have been possible without the generous contribution of time, expertise and information from the many cinema owners, managers, projection and customer services staff we met during the study. Our thanks are also due to the individuals and organisations contacted for comment and information during the research. Our sincere thanks are due to each and every one. The views expressed in this report are those of the authors. Unless specifically attributed, they do not represent the views of Sgrîn, the Arts Council, nor those of any persons or organisations who have been consulted in the course of the study. J Ron Inglis & Sue Todd April 2004 Inglis Todd Consultants is an independent arts and media consultancy operating throughout the UK and Ireland. J Ron Inglis and Sue Todd - are among the UK’s leading...
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...Special Sales Department, The MIT Press, 55 Hayward Street, Cambridge, MA 02142. A This book was set in L TEX by the authors. Printed and bound in the United States of America. Library of Congress Cataloging-in-Publication Data Mohri, Mehryar. Foundations of machine learning / Mehryar Mohri, Afshin Rostamizadeh, and Ameet Talwalkar. p. cm. - (Adaptive computation and machine learning series) Includes bibliographical references and index. ISBN 978-0-262-01825-8 (hardcover : alk. paper) 1. Machine learning. 2. Computer algorithms. I. Rostamizadeh, Afshin. II. Talwalkar, Ameet. III. Title. Q325.5.M64 2012 006.3’1-dc23 2012007249 10 9 8 7 6 5 4 3 2 1 Contents Preface 1 Introduction 1.1 Applications and problems . 1.2 Definitions and terminology 1.3 Cross-validation . . . . . . . 1.4 Learning scenarios . . . . . 1.5 Outline . . . . . . . . . . . 2 The 2.1 2.2 2.3 2.4 xi 1 1 3 5 7 8 11 11 17 21 24 24 25 26 27 28 29 33 34 38 41 48 54 55 63...
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...i Computational Complexity: A Modern Approach Draft of a book: Dated January 2007 Comments welcome! Sanjeev Arora and Boaz Barak Princeton University complexitybook@gmail.com Not to be reproduced or distributed without the authors’ permission This is an Internet draft. Some chapters are more finished than others. References and attributions are very preliminary and we apologize in advance for any omissions (but hope you will nevertheless point them out to us). Please send us bugs, typos, missing references or general comments to complexitybook@gmail.com — Thank You!! DRAFT ii DRAFT About this book Computational complexity theory has developed rapidly in the past three decades. The list of surprising and fundamental results proved since 1990 alone could fill a book: these include new probabilistic definitions of classical complexity classes (IP = PSPACE and the PCP Theorems) and their implications for the field of approximation algorithms; Shor’s algorithm to factor integers using a quantum computer; an understanding of why current approaches to the famous P versus NP will not be successful; a theory of derandomization and pseudorandomness based upon computational hardness; and beautiful constructions of pseudorandom objects such as extractors and expanders. This book aims to describe such recent achievements of complexity theory in the context of the classical results. It is intended to both serve as a textbook as a reference for self-study. This means...
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...Helpful Hints for ACADEMIC MODULE BY GARRY ADAMS & TERRY PECK Practice Tests and Hints for IELTS Listening • Reading • Writing • Speaking fully updated for new IELTS Speaking Test format 101 Helpful Hints for IELTS PUBLISHER'S ACKNOWLEDGEMENTS AUTHORS' ACKNOWLEDGEMENTS The publishers are grateful for permission to use copyright material. We would like to acknowledge the original sources of text material listed below. Permission has been sought to reproduce all material whose source could be identified. Information that will enable the publishers to rectify any error or omission in subsequent editions will be welcome. We would like to acknowledge the support of the following people: The nine Band Score descriptions on page 12 are reproduced from The IELTS Handbook, a joint publication of the University of Cambridge Local Examinations Syndicate, The British Council, and IDP Education Australia: IELTS Australia. The reading passage "Regional Student Survey" on page 97, is adapted from The ELICOS Student Contextualised - Facts & Figures by Ms. CM. Bundesen, with permission of the author. Bruce Bell, HelenkaPiotrowski, Laurent Seibert, Andrew Thomas (Sydney English Language Centre), and Soon-Young Yoon. ABOUT THE AUTHORS Terry Peck and Garry Adams have extensive IELTS coaching experience, both having been involved in implementing and designing IELTS coaching programmes. Terry Peck was an IELTS examiner for a number of years in...
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...Helpful Hints for ACADEMIC MODULE BY GARRY ADAMS & TERRY PECK Practice Tests and Hints for IELTS Listening • Reading • Writing • Speaking fully updated for new IELTS Speaking Test format 101 Helpful Hints for IELTS PUBLISHER'S ACKNOWLEDGEMENTS The publishers are grateful for permission to use copyright material. We would like to acknowledge the original sources of text material listed below. Permission has been sought to reproduce all material whose source could be identified. Information that will enable the publishers to rectify any error or omission in subsequent editions will be welcome. The nine Band Score descriptions on page 12 are reproduced from The IELTS Handbook, a joint publication of the University of Cambridge Local Examinations Syndicate, The British Council, and IDP Education Australia: IELTS Australia. The reading passage "Regional Student Survey" on page 97, is adapted from The ELICOS Student Contextualised - Facts & Figures by Ms. CM. Bundesen, with permission of the author. AUTHORS' ACKNOWLEDGEMENTS We would like to acknowledge the support of the following people: Bruce Bell, HelenkaPiotrowski, Laurent Seibert, Andrew Thomas (Sydney English Language Centre), and Soon-Young Yoon. ABOUT THE AUTHORS Terry Peck and Garry Adams have extensive IELTS coaching experience, both having been involved in implementing and designing IELTS coaching programmes. Terry Peck was an IELTS examiner for a number of years in Sydney, Australia. AVAILABLE...
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...Sixth Edition INTERNATIONAL FINANCIAL MANAGEMENT Cheol S. Eun Bruce G. Resnick International Financial Management Sixth Edition The McGraw-Hill/Irwin Series in Finance, Insurance, and Real Estate Stephen A. Ross Franco Modigliani Professor of Finance and Economics Sloan School of Management Massachusetts Institute of Technology Consulting Editor FINANCIAL MANAGEMENT Adair Excel Applications for Corporate Finance First Edition Block, Hirt, and Danielsen Foundations of Financial Management Fourteenth Edition Brealey, Myers, and Allen Principles of Corporate Finance Tenth Edition Brealey, Myers, and Allen Principles of Corporate Finance, Concise Second Edition Brealey, Myers, and Marcus Fundamentals of Corporate Finance Sixth Edition Brooks FinGame Online 5.0 Bruner Case Studies in Finance: Managing for Corporate Value Creation Sixth Edition Chew The New Corporate Finance: Where Theory Meets Practice Third Edition Cornett, Adair, and Nofsinger Finance: Applications and Theory First Edition Cornett, Adair, and Nofsinger Finance: M Book First Edition DeMello Cases in Finance Second Edition Grinblatt (editor) Stephen A. Ross, Mentor: Influence through Generations Grinblatt and Titman Financial Markets and Corporate Strategy Second Edition Higgins Analysis for Financial Management Ninth Edition Kellison Theory of Interest Third Edition Kester, Ruback, and Tufano Case Problems in Finance Twelfth Edition Ross, Westerfield, and Jaffe Corporate Finance Ninth Edition...
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...HAL R. VARIAN 1 NORTON To my parents Copyright @ 1992, 1984, 1978 by W. W. Norton & Company, Inc. All rights reserved Printed in the United States of America THIRD EDITION Library o Congress Cataloging-in-Publication Data f Varian, Hal R. Mlcroeconon~lc analysis / Hal R. Varian. -- 3rd ed. p. an Includes blbllographlcal references and index. 1. Mlcroeconomlcs. 1. Title. HB172.V35 1992 338.5--dc20 ISBN 0-393-95735-7 W. W. Norton & Company, Inc., 500 Fifth Avenue, New York, N.Y. 10110 W. W. Norton & Company, Ltd., 10 Coptic Street, London WClA 1PU CONTENTS PREFACE 1 Technology Measurement of inputs and outputs 1 Specification of technology 2 Example: Input requzrement set Example: Isoquant Example: Shortrun productzon posszbzlztzes set Example: Pt-oductzon functzon Example: Transformatzon functzon Example: Cobb-Douglas technology Example: Leontzef technology Activity analysis 5 Monotonic technologies 6 Convex technologies 7 Regular technologies 9 Parametric representations of technology 10 The technical rate of substitution 11 Example: T R S for a Cobb-Douglas technology The elasticity of substitution 13 Example: The elastzczty of substztutzon for the Cobb-Douglas productzon functzon Returns to scale 14 Example: Returns to scale and the Cobb-Douglas technology Homogeneous and homothetic technologies 17 Example: The CES productzon functzon Exercises 21 2 Profit Maximization . Profit maximization 25 Difficulties 28 Example:...
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...Kelly | McGowen | Williams C en ga Australia • Brazil • Japan • Korea • Mexico • Singapore • Spain • United Kingdom • United States ge Le ar ni ng BUSN BUSN BUSN 6, 6th Edition Kelly | McGowen | Williams © 2014 Cengage Learning. All rights reserved. Senior Project Development Manager: Linda deStefano Market Development Manager: Heather Kramer Senior Production/Manufacturing Manager: Donna M. Brown Production Editorial Manager: Kim Fry Sr. Rights Acquisition Account Manager: Todd Osborne en C Printed in the United States of America ga ge Le Compilation © 2013 Cengage Learning ISBN-13: 978-1-285-88034-1 ISBN-10: 1-285-88034-X Cengage Learning 5191 Natorp Boulevard Mason, Ohio 45040 USA ALL RIGHTS RESERVED. No part of this work covered by the copyright herein LL RIGHT th repro reprodu ted, s may be reproduced, transmitted, stored or used in any form or by any means electro graphic, electronic, or mechanical, including but not limited to photocopying, scann di recording, scanning, digitizing, taping, Web distribution, information networks, a or information storage and retrieval systems, except as permitted under o t Section 107 or 108 of the 1976 United States Copyright Act, without the prior writ written permission of the publisher. pro For product information and technology assistance, contact us at Cen Cengage Learning Customer & Sales Support, 1-800-354-9706 For permission to use material from this text or product, submit...
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...GMAT GRADUATE MANAGEMENT ADMISSION TEST McGraw-Hill’s 2008 Edition James Hasik Stacey Rudnick Ryan Hackney New York | Chicago | San Francisco | Lisbon London | Madrid | Mexico City | Milan | New Delhi San Juan | Seoul | Singapore | Sydney | Toronto Copyright © 2007 by The McGraw-Hill Companies, Inc. All rights reserved. Manufactured in the United States of America. Except as permitted under the United States Copyright Act of 1976, no part of this publication may be reproduced or distributed in any form or by any means, or stored in a database or retrieval system, without the prior written permission of the publisher. 0-07-151120-2 The material in this eBook also appears in the print version of this title: 0-07-149340-9. All trademarks are trademarks of their respective owners. Rather than put a trademark symbol after every occurrence of a trademarked name, we use names in an editorial fashion only, and to the benefit of the trademark owner, with no intention of infringement of the trademark. Where such designations appear in this book, they have been printed with initial caps. McGraw-Hill eBooks are available at special quantity discounts to use as premiums and sales promotions, or for use in corporate training programs. For more information, please contact George Hoare, Special Sales, at george_hoare@mcgraw-hill.com or (212) 904-4069. TERMS OF USE This is a copyrighted work and The McGraw-Hill Companies, Inc. (“McGraw-Hill”) and its licensors reserve all rights...
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