Transcription of Elements of Programming
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Elements of Programming
Elements of ProgrammingElements of ProgrammingAlexander StepanovPaul McJones(ab)c=a(bc)Semigroup PressPalo Alto Mountain ViewMany of the designations used by manufacturers and sellers to distinguish theirproducts are claimed as trademarks. Where those designations appear in this book, andthe publisher was aware of a trademark claim, the designations have been printed withinitial capital letters or in all authors and publisher have taken care in the preparation of this book, but make noexpressed or implied warranty of any kind and assume no responsibility for errors oromissions. No liability is assumed for incidental or consequential damages in connectionwith or arising out of the use of the information or programs contained 2009 Pearson Education, Copyrightc 2019 Alexander Stepanov and Paul McJonesAll rights reserved. Printed in the United States of America. This publication isprotected by copyright, and permission must be obtained from the publisher prior toany prohibited reproduction, storage in a retrieval system, or transmission in any formor by any means, electronic, mechanical, photocopying, recording, or likewise.
4.3 Order Selection 50 4.4 Natural Total Ordering 59 4.5 Clusters of Derived Procedures 60 4.6 Extending Order-Selection Procedures 60 4.7 Conclusions 61 5 Ordered Algebraic Structures 63 5.1 Basic Algebraic Structures 63 5.2 Ordered Algebraic Structures 68 5.3 Remainder 69 5.4 Greatest Common Divisor 73 5.5 Generalizing gcd 76 5.6 Stein gcd 78 ...
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