Lattices of Subspaces and Projectors
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Series Editor W. Bruce Croft
Sándor Dominich
The Modern Algebra of Information Retrieval
123
Sándor Dominich Computer Science Department University of Pannonia Egyetem u. 10. 8200 Veszprém, Hungary [email protected]
ISBN: 978-3-540-77658-1
e-ISBN: 978-3-540-77659-8
Library of Congress Control Number: 2008922292
ACM Computing Classification (1998): H.3, G.1, G.3 c 2008 Springer-Verlag Berlin Heidelberg This work is subject to copyright. All rights are reserved, whether the whole or part of the material is concerned, specifically the rights of translation, reprinting, reuse of illustrations, recitation, broadcasting, reproduction on microfilm or in any other way, and storage in data banks. Duplication of this publication or parts thereof is permitted only under the provisions of the German Copyright Law of September 9, 1965, in its current version, and permission for use must always be obtained from Springer. Violations are liable to prosecution under the German Copyright Law. The use of general descriptive names, registered names, trademarks, etc. in this publication does not imply, even in the absence of a specific statement, that such names are exempt from the relevant protective laws and regulations and therefore free for general use. Cover Design: KünkelLopka, Heidelberg Printed on acid-free paper 9 8 7 6 5 4 3 2 1 springer.com
To my parents Jolán and Sándor To my wife EmĘke and our daughter EmĘke
Acknowledgments
Special thanks, first, to my family, the two EmĘke, who were very understanding during the entire time I was involved in writing this book. Next, I would like to thank Ferenc Friedler, the head of the Department of Computer Science, University of Pannonia (Veszprém, Hungary), for providing a highly supportive environment. At some stages I derived much benefit from discussions with the following colleagues: Rozália Piglerné Lakner, Tamás Kiezer, Júlia Góth (all from the University of Pannonia, Veszprém, Hungary), Iadh Ounis (Glasgow University, Glasgow, Scotland, U.K.) and I enjoyed their active support. Parts of this book were included in a B.Sc. curriculum on Information Retrieval (Faculty of Information Technology, University of Pannonia, Hungary). The experience thus gained as well as students’ feedback proved very helpful, especially for elaborating examples and proposed problems, and in presenting methods. May all find here my expression of gratitude. Last but not least, I am indebted to Springer-Verlag Gmbh for making the publication of this book possible. Sándor Dominich
Contents
1 Introduction.............................................................................................. 1 1.1 Information Retrieval ..................................................................... 2 1.1.1 Brief History of Information Retrieval.................................. 2 1.1.2 “Definition” of Information Retrieval ................................... 7 1.2 Retrieval Methods ........................................................................ 11 1.3 Modern Algebra ..................
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