replacement set
noun Date: 1959 a set of elements any one of which may be used to replace a given variable or placeholder in a mathematical sentence or expression (as an equation)

New Collegiate Dictionary. 2001.

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  • Replacement set — A replacement set is a set of all possible values of a variable. For example, the replacement set for x in a function (i.e., f( x )) is the domain, or the set of variables, equal to x …   Wikipedia

  • replacement set — noun : a set of elements any one of which may be used to replace a given variable or placeholder in a mathematical phrase or sentence compare domain * * * replacement set, Mathematics. domain …   Useful english dictionary

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  • set theory — the branch of mathematics that deals with relations between sets. [1940 45] * * * Branch of mathematics that deals with the properties of sets. It is most valuable as applied to other areas of mathematics, which borrow from and adapt its… …   Universalium

  • Set theory — This article is about the branch of mathematics. For musical set theory, see Set theory (music). A Venn diagram illustrating the intersection of two sets. Set theory is the branch of mathematics that studies sets, which are collections of objects …   Wikipedia

  • Set-builder notation — In set theory and its applications to logic, mathematics, and computer science, set builder notation (sometimes simply set notation ) is a mathematical notation for describing a set by stating the properties that its members must satisfy. Forming …   Wikipedia

  • set theory — The modern theory of sets was largely inspired by Cantor, whose proof that the set of real numbers could not be put into a one to one correspondence with the set of natural numbers opened the door to the set theoretic hierarchy, and to the study… …   Philosophy dictionary

  • replacement, axiom of — The axiom added to Zermelo s set theory by A. A. Fraenkel (1891–1965), to produce the classical set theory known as ZF. Put in terms of second order logic, the axiom states that any function whose domain is a set has a range which is also a set.… …   Philosophy dictionary

  • replacement reserve — An account set up for the actual replacement of machinery and equipment …   Black's law dictionary

  • contact set — Replacement parts consisting of breaker points and possibly breaker plate and condenser …   Dictionary of automotive terms

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