Relational algebra : Primitive operations

May 29th, 2015
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As in any algebra, some operators are primitive and the others are derived in terms of the primitive ones. It is useful if the choice of primitive operators parallels the usual choice of primitive logical operators.

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Reasonable Basic AlgebraReasonable Basic AlgebraA. Schremmer01/13/2008ivCopyright 2006, 2007 A. Schremmer. Permission is granted to copy,distribute and/or modify this document under the terms of the GNUFree Documentation License, Version 1.2 or any later version publishedby the Free Software Foundation; with no Invariant Section1,no Front-Cover Texts, and no Back-Cover Texts. A copy of the licenseis included in the section entitled "GNU Free Documentation License".1Educologists who deem the footnotes inflammatory need only turn them off byuncommenting renewcommand-footnote in the ADJUSTMENTS TO DOCUMENT.vTo Franoise, Bruno and Serge.viContentsPreface xiI Elements of Arithmetic 11 Counting Number-Phrases 31.1 What Arithmetic and Algebra are About . . . . . . . . . . . 31.2 Specialized Languages . . . . . . . . . . . . . . . . . . . . . . 41.3 Real-World . . . . . . . . . . . . . . . . . . . . . . . . . . . . 51.4 Number-Phrases . . . . . . . . . . . . . . . . . . . . . . . . . 51.5 Representing Large Collections . . . . . . . . . . . . . . . . . 71.6 Graphic Illustrations . . . . . . . . . . . . . . . . . . . . . . . 121.7 Combinations . . . . . . . . . . . . . . . . . . . . . . . . . . . 141.8 About Number-Phrases . . . . . . . . . . . . . . . . . . . . . 151.9 Decimal Number-Phrases . . . . . . . . . . . . . . . . . . . . 172 Equalities and Inequalities 192.1 Counting From A Counting Number-Phrase To Another . . . 192.2 Comp

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