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Formalized Mathematics

(a computer assisted approach)

Editor-in-Chief: Matuszewski, Roman

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SCImago Journal Rank (SJR) 2015: 0.134
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1898-9934
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Volume 17, Issue 2 (Jan 2009)

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Collective Operations on Number-Membered Sets

Artur Korniłowicz
  • Institute of Computer Science, University of Białystok, Sosnowa 64, 15-887 Białystok Poland
Published Online: 2009-07-14 | DOI: https://doi.org/10.2478/v10037-009-0011-0

Collective Operations on Number-Membered Sets

The article starts with definitions of sets of opposite and inverse numbers of a given number membered set. Next, collective addition, subtraction, multiplication and division of two sets are defined. Complex numbers cases and extended real numbers ones are introduced separately and unified for reals. Shortcuts for singletons cases are also defined.

  • [1] Grzegorz Bancerek. The ordinal numbers. Formalized Mathematics, 1(1):91-96, 1990.

  • [2] Andrzej Trybulec. Enumerated sets. Formalized Mathematics, 1(1):25-34, 1990.

  • [3] Andrzej Trybulec. On the sets inhabited by numbers. Formalized Mathematics, 11(4):341-347, 2003.

  • [4] Zinaida Trybulec. Properties of subsets. Formalized Mathematics, 1(1):67-71, 1990.

About the article


Published Online: 2009-07-14

Published in Print: 2009-01-01



Citation Information: Formalized Mathematics, ISSN (Online) 1898-9934, ISSN (Print) 1426-2630, DOI: https://doi.org/10.2478/v10037-009-0011-0. Export Citation

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[1]
Artur Korniłowicz
Formalized Mathematics, 2011, Volume 19, Number 3

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