The Fianchetto System
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A Combinatorial Game Theoretic Analysis of Chess Endgames
A COMBINATORIAL GAME THEORETIC ANALYSIS OF CHESS ENDGAMES QINGYUN WU, FRANK YU,¨ MICHAEL LANDRY 1. Abstract In this paper, we attempt to analyze Chess endgames using combinatorial game theory. This is a challenge, because much of combinatorial game theory applies only to games under normal play, in which players move according to a set of rules that define the game, and the last player to move wins. A game of Chess ends either in a draw (as in the game above) or when one of the players achieves checkmate. As such, the game of chess does not immediately lend itself to this type of analysis. However, we found that when we redefined certain aspects of chess, there were useful applications of the theory. (Note: We assume the reader has a knowledge of the rules of Chess prior to reading. Also, we will associate Left with white and Right with black). We first look at positions of chess involving only pawns and no kings. We treat these as combinatorial games under normal play, but with the modification that creating a passed pawn is also a win; the assumption is that promoting a pawn will ultimately lead to checkmate. Just using pawns, we have found chess positions that are equal to the games 0, 1, 2, ?, ", #, and Tiny 1. Next, we bring kings onto the chessboard and construct positions that act as game sums of the numbers and infinitesimals we found. The point is that these carefully constructed positions are games of chess played according to the rules of chess that act like sums of combinatorial games under normal play. -
Computer Analysis of World Chess Champions 65
Computer Analysis of World Chess Champions 65 COMPUTER ANALYSIS OF WORLD CHESS CHAMPIONS1 Matej Guid2 and Ivan Bratko2 Ljubljana, Slovenia ABSTRACT Who is the best chess player of all time? Chess players are often interested in this question that has never been answered authoritatively, because it requires a comparison between chess players of different eras who never met across the board. In this contribution, we attempt to make such a comparison. It is based on the evaluation of the games played by the World Chess Champions in their championship matches. The evaluation is performed by the chess-playing program CRAFTY. For this purpose we slightly adapted CRAFTY. Our analysis takes into account the differences in players' styles to compensate the fact that calm positional players in their typical games have less chance to commit gross tactical errors than aggressive tactical players. Therefore, we designed a method to assess the difculty of positions. Some of the results of this computer analysis might be quite surprising. Overall, the results can be nicely interpreted by a chess expert. 1. INTRODUCTION Who is the best chess player of all time? This is a frequently posed and interesting question, to which there is no well founded, objective answer, because it requires a comparison between chess players of different eras who never met across the board. With the emergence of high-quality chess programs a possibility of such an objective comparison arises. However, so far computers were mostly used as a tool for statistical analysis of the players' results. Such statistical analyses often do neither reect the true strengths of the players, nor do they reect their quality of play. -
1999/6 Layout
Virginia Chess Newsletter 1999 - #6 1 The Chesapeake Challenge Cup is a rotating club team trophy that grew out of an informal rivalry between two Maryland clubs a couple years ago. Since Chesapeake then the competition has opened up and the Arlington Chess Club captured the cup from the Fort Meade Chess Armory on October 15, 1999, defeating the 1 1 Challenge Cup erstwhile cup holders 6 ⁄2-5 ⁄2. The format for the Chesapeake Cup is still evolving but in principle the idea is that a defense should occur about once every six months, and any team from the “Chesapeake Bay drainage basin” is eligible to issue a challenge. “Choosing the challenger is a rather informal process,” explained Kurt Eschbach, one of the Chesapeake Cup's founding fathers. “Whoever speaks up first with a credible bid gets to challenge, except that we will give preference to a club that has never played for the Cup over one that has already played.” To further encourage broad participation, the match format calls for each team to field players of varying strength. The basic formula stipulates a 12-board match between teams composed of two Masters (no limit), two Expert, and two each from classes A, B, C & D. The defending team hosts the match and plays White on odd-numbered boards. It is possible that a particular challenge could include additional type boards (juniors, seniors, women, etc) by mutual agreement between the clubs. Clubs interested in coming to Arlington around April, 2000 to try to wrest away the Chesapeake Cup should call Dan Fuson at (703) 532-0192 or write him at 2834 Rosemary Ln, Falls Church VA 22042. -
CONTENTS Contents
CONTENTS Contents Symbols 5 Preface 6 Introduction 9 1 Glossary of Attacking and Strategic Terms 11 2 Double Attack 23 2.1: Double Attacks with Queens and Rooks 24 2.2: Bishop Forks 31 2.3: Knight Forks 34 2.4: The Í+Ì Connection 44 2.5: Pawn Forks 45 2.6: The Discovered Double Attack 46 2.7: Another Type of Double Attack 53 Exercises 55 Solutions 61 3 The Role of the Pawns 65 3.1: Pawn Promotion 65 3.2: The Far-Advanced Passed Pawn 71 3.3: Connected Passed Pawns 85 3.4: The Pawn-Wedge 89 3.5: Passive Sacrifices 91 3.6: The Kamikaze Pawn 92 Exercises 99 Solutions 103 4 Attacking the Castled Position 106 4.1: Weakness in the Castled Position 106 4.2: Rooks and Files 112 4.3: The Greek Gift 128 4.4: Other Bishop Sacrifices 133 4.5: Panic on the Long Diagonal 143 4.6: The Knight Sacrifice 150 4.7: The Exchange Sacrifice 162 4.8: The Queen Sacrifice 172 Exercises 176 Solutions 181 5 Drawing Combinations 186 5.1: Perpetual Check 186 5.2: Repetition of Position 194 5.3: Stalemate 197 5.4: Fortress and Blockade 202 5.5: Positional Draws 204 Exercises 207 Solutions 210 6 Combined Tactical Themes 213 6.1: Material, Endings, Zugzwang 214 6.2: One Sacrifice after Another 232 6.3: Extraordinary Combinations 242 6.4: A Diabolical Position 257 Exercises 260 Solutions 264 7 Opening Disasters 268 7.1: Open Games 268 7.2: Semi-Open Games 274 7.3: Closed Games 288 8 Tactical Examination 304 Test 1 306 Test 2 308 Test 3 310 Test 4 312 Test 5 314 Test 6 316 Hints 318 Solutions 320 Index of Names 331 Index of Openings 335 THE ROLE OF THE PAWNS 3 The Role of the Pawns Ever since the distant days of the 18th century 3.1: Pawn Promotion (let us call it the time of the French Revolution, or of François-André Danican Philidor) we have known that “pawns are the soul of chess”. -
FIDE Laws of Chess
FIDE Laws of Chess FIDE Laws of Chess cover over-the-board play. The Laws of Chess have two parts: 1. Basic Rules of Play and 2. Competition Rules. The English text is the authentic version of the Laws of Chess (which was adopted at the 84th FIDE Congress at Tallinn (Estonia) coming into force on 1 July 2014. In these Laws the words ‘he’, ‘him’, and ‘his’ shall be considered to include ‘she’ and ‘her’. PREFACE The Laws of Chess cannot cover all possible situations that may arise during a game, nor can they regulate all administrative questions. Where cases are not precisely regulated by an Article of the Laws, it should be possible to reach a correct decision by studying analogous situations which are discussed in the Laws. The Laws assume that arbiters have the necessary competence, sound judgement and absolute objectivity. Too detailed a rule might deprive the arbiter of his freedom of judgement and thus prevent him from finding a solution to a problem dictated by fairness, logic and special factors. FIDE appeals to all chess players and federations to accept this view. A necessary condition for a game to be rated by FIDE is that it shall be played according to the FIDE Laws of Chess. It is recommended that competitive games not rated by FIDE be played according to the FIDE Laws of Chess. Member federations may ask FIDE to give a ruling on matters relating to the Laws of Chess. BASIC RULES OF PLAY Article 1: The nature and objectives of the game of chess 1.1 The game of chess is played between two opponents who move their pieces on a square board called a ‘chessboard’. -
TCAS II) by Personnel Involved in the Implementation and Operation of TCAS II
Preface This booklet provides the background for a better understanding of the Traffic Alert and Collision Avoidance System (TCAS II) by personnel involved in the implementation and operation of TCAS II. This booklet is an update of the TCAS II Version 7.0 manual published in 2000 by the Federal Aviation Administration (FAA). It describes changes to the CAS logic introduced by Version 7.1 and updates the information on requirements for use of TCAS II and operational experience. Version 7.1 logic changes will improve TCAS Resolution Advisory (RA) sense reversal logic in vertical chase situations. In addition all “Adjust Vertical Speed, Adjust” RAs are converted to “Level-Off, Level-Off” RAs to make it more clear that a reduction in vertical rate is required. The Minimum Operational Performance Standards (MOPS) for TCAS II Version 7.1 were approved in June 2008 and Version 7.1 units are expected to be operating by 2010-2011. Version 6.04a and 7.0 units are also expected to continue operating for the foreseeable future where authorized. 2 Preface................................................................................................................................. 2 The TCAS Solution............................................................................................................. 5 Early Collision Avoidance Systems................................................................................ 5 TCAS II Development .................................................................................................... 6 Initial -
UIL Text 111212
UIL Chess Puzzle Solvin g— Fall/Winter District 2016-2017 —Grades 4 and 5 IMPORTANT INSTRUCTIONS: [Test-administrators, please read text in this box aloud.] This is the UIL Chess Puzzle Solving Fall/Winter District Test for grades four and five. There are 20 questions on this test. You have 30 minutes to complete it. All questions are multiple choice. Use the answer sheet to mark your answers. Multiple choice answers pur - posely do not indicate check, checkmate, or e.p. symbols. You will be awarded one point for each correct answer. No deductions will be made for incorrect answers on this test. Finishing early is not rewarded, even to break ties. So use all of your time. Some of the questions may be hard, but all of the puzzles are interesting! Good luck and have fun! If you don’t already know chess notation, reading and referring to the section below on this page will help you. How to read and answer questions on this test Piece Names Each chessman can • To answer the questions on this test, you’ll also be represented need to know how to read chess moves. It’s by a symbol, except for the pawn. simple to do. (Figurine Notation) K King Q • Every square on the board has an “address” Queen R made up of a letter and a number. Rook B Bishop N Knight Pawn a-h (We write the file it’s on.) • To make them easy to read, the questions on this test use the figurine piece symbols on the right, above. -
Learning to Play Chess Using Temporal Differences
Machine Learning, 40, 243–263, 2000 c 2000 Kluwer Academic Publishers. Manufactured in The Netherlands. Learning to Play Chess Using Temporal Differences JONATHAN BAXTER [email protected] Department of Systems Engineering, Australian National University 0200, Australia ANDREW TRIDGELL [email protected] LEX WEAVER [email protected] Department of Computer Science, Australian National University 0200, Australia Editor: Sridhar Mahadevan Abstract. In this paper we present TDLEAF(), a variation on the TD() algorithm that enables it to be used in conjunction with game-tree search. We present some experiments in which our chess program “KnightCap” used TDLEAF() to learn its evaluation function while playing on Internet chess servers. The main success we report is that KnightCap improved from a 1650 rating to a 2150 rating in just 308 games and 3 days of play. As a reference, a rating of 1650 corresponds to about level B human play (on a scale from E (1000) to A (1800)), while 2150 is human master level. We discuss some of the reasons for this success, principle among them being the use of on-line, rather than self-play. We also investigate whether TDLEAF() can yield better results in the domain of backgammon, where TD() has previously yielded striking success. Keywords: temporal difference learning, neural network, TDLEAF, chess, backgammon 1. Introduction Temporal Difference learning, first introduced by Samuel (Samuel, 1959) and later extended and formalized by Sutton (Sutton, 1988) in his TD() algorithm, is an elegant technique for approximating the expected long term future cost (or cost-to-go) of a stochastic dy- namical system as a function of the current state. -
Fundamental Endings CYRUS LAKDAWALA
First Steps : Fundamental Endings CYRUS LAKDAWALA www.everymanchess.com About the Author Cyrus Lakdawala is an International Master, a former National Open and American Open Cham- pion, and a six-time State Champion. He has been teaching chess for over 30 years, and coaches some of the top junior players in the U.S. Also by the Author: Play the London System A Ferocious Opening Repertoire The Slav: Move by Move 1...d6: Move by Move The Caro-Kann: Move by Move The Four Knights: Move by Move Capablanca: Move by Move The Modern Defence: Move by Move Kramnik: Move by Move The Colle: Move by Move The Scandinavian: Move by Move Botvinnik: Move by Move The Nimzo-Larsen Attack: Move by Move Korchnoi: Move by Move The Alekhine Defence: Move by Move The Trompowsky Attack: Move by Move Carlsen: Move by Move The Classical French: Move by Move Larsen: Move by Move 1...b6: Move by Move Bird’s Opening: Move by Move Petroff Defence: Move by Move Fischer: Move by Move Anti-Sicilians: Move by Move Opening Repertoire ... c6 First Steps: the Modern 3 Contents About the Author 3 Bibliography 5 Introduction 7 1 Essential Knowledge 9 2 Pawn Endings 23 3 Rook Endings 63 4 Queen Endings 119 5 Bishop Endings 144 6 Knight Endings 172 7 Minor Piece Endings 184 8 Rooks and Minor Pieces 206 9 Queen and Other Pieces 243 4 Introduction Why Study Chess at its Cellular Level? A chess battle is no less intense for its lack of brevity. Because my messianic mission in life is to make the chess board a safer place for students and readers, I break the seal of confessional and tell you that some students consider the idea of enjoyable endgame study an oxymoron. -
The Fianchetto Solution: a Complete, Solid and Flexible Chess Opening Repertoire for Black White - with the King's Fianchetto (New in Chess) Online
iqo7p [Read and download] The Fianchetto Solution: A Complete, Solid and Flexible Chess Opening Repertoire for Black White - with the King's Fianchetto (New in Chess) Online [iqo7p.ebook] The Fianchetto Solution: A Complete, Solid and Flexible Chess Opening Repertoire for Black White - with the King's Fianchetto (New in Chess) Pdf Free Emmanuel Neiman, Samy Shoker *Download PDF | ePub | DOC | audiobook | ebooks Download Now Free Download Here Download eBook #465530 in Books The House of Staunton, Inc. 2016-12-15Original language:EnglishPDF # 1 9.19 x .61 x 6.72l, .0 #File Name: 9056916637272 pagesAuthor: Emmanuel Neiman,Samy ShokerPages: 272 PagesPublication Years: 2016 | File size: 39.Mb Emmanuel Neiman, Samy Shoker : The Fianchetto Solution: A Complete, Solid and Flexible Chess Opening Repertoire for Black White - with the King's Fianchetto (New in Chess) before purchasing it in order to gage whether or not it would be worth my time, and all praised The Fianchetto Solution: A Complete, Solid and Flexible Chess Opening Repertoire for Black White - with the King's Fianchetto (New in Chess): 4 of 4 people found the following review helpful. How to Handle Fianchetto BishopsBy Danny WoodallBook gives you plans on how to handle positions with a fianchetto bishop. Good games with good explanations. Anyone playing fianchetto positions can learn from this book.1 of 1 people found the following review helpful. A good book on a not so common chess subject.By CustomerIf you read and study this book, and then decide that you may not actually be comfortable with this opening, your time, I suggest, would not have been wasted.On the other hand, I would encourage all chess students to give this opening, at least, an occasional try.Reading and studying this book for me was time well spent (My ELO is +2000).The title of this book could also be called "A Deep Introduction to Fianchetto Positions." Most chess student, who are deficient in their knowledge on this topic, would find this book's study to be of benefit. -
Pop-Up Course Catalogue (May 2020) Please Read Through the Following Course Descriptions to Help You Make Your Choices for Indep
Pop-Up Course Catalogue (May 2020) Please read through the following course descriptions to help you make your choices for independent work and pop-up courses during the weeks of May 11th through the 29th. You will complete a separate Google Form indicating your choices for pop-up courses. Three-Week Offerings (These are classes that will run for all three weeks; you must take all three weeks unless otherwise indicated.) Course Name Teacher Course Description Things Are Looking Up: Ms. Labieniec In this course students will explore some of the most fundamental aspects Astronomy and Your of astronomy with the goal of achieving a better understanding of our Backyard Sky place in the cosmos. Week 1: The scale of space, Week 2: The Scale of time, Week 3: We are stardust. Students will learn to recognize common objects in the night sky and will maintain a weekly observing journal. No telescope necessary! Kia Ora: The Films of Ms. Hatcher In February 2020, Taika Waititi became the first person of indigenous Taika Waititi descent to win an Oscar for his screenplay of Jojo Rabbit. Before he became a fixture in Hollywood, Waititi made a name for himself by writing, directing, and acting in quirky independent films in his native New Zealand. This course will cover three of his first full-length films: The Hunt for the Wilderpeople (week 1), Boy (week 2), and Eagle vs. Shark (week 3). We will explore the ways that Waititi combines his Maori heritage, his Kiwi sense of humor, and his love of the natural beauty of New Zealand in his films. -
Multilinear Algebra and Chess Endgames
Games of No Chance MSRI Publications Volume 29, 1996 Multilinear Algebra and Chess Endgames LEWIS STILLER Abstract. This article has three chief aims: (1) To show the wide utility of multilinear algebraic formalism for high-performance computing. (2) To describe an application of this formalism in the analysis of chess endgames, and results obtained thereby that would have been impossible to compute using earlier techniques, including a win requiring a record 243 moves. (3) To contribute to the study of the history of chess endgames, by focusing on the work of Friedrich Amelung (in particular his apparently lost analysis of certain six-piece endgames) and that of Theodor Molien, one of the founders of modern group representation theory and the first person to have systematically numerically analyzed a pawnless endgame. 1. Introduction Parallel and vector architectures can achieve high peak bandwidth, but it can be difficult for the programmer to design algorithms that exploit this bandwidth efficiently. Application performance can depend heavily on unique architecture features that complicate the design of portable code [Szymanski et al. 1994; Stone 1993]. The work reported here is part of a project to explore the extent to which the techniques of multilinear algebra can be used to simplify the design of high- performance parallel and vector algorithms [Johnson et al. 1991]. The approach is this: Define a set of fixed, structured matrices that encode architectural primitives • of the machine, in the sense that left-multiplication of a vector by this matrix is efficient on the target architecture. Formulate the application problem as a matrix multiplication.