- irrational set
- мат.иррациональное множество
English-Russian scientific dictionary. 2008.
irrational set
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Irrational number — In mathematics, an irrational number is any real number that is not a rational number that is, it is a number which cannot be expressed as a fraction m / n , where m and n are integers, with n non zero. Informally, this means numbers that cannot… … Wikipedia
Irrational rotation — In mathematics, an irrational rotation is a map:r : [0,1] ightarrow [0,1] given by: r(x) = x + heta mod 1 (see modular arithmetics) where θ is an irrational number. The name comes from the fact that this map comes from a rotation by an angle of θ … Wikipedia
Set (mathematics) — This article gives an introduction to what mathematicians call intuitive or naive set theory; for a more detailed account see Naive set theory. For a rigorous modern axiomatic treatment of sets, see Set theory. The intersection of two sets is… … Wikipedia
irrational number — noun Date: 1551 a number that can be expressed as an infinite decimal with no set of consecutive digits repeating itself indefinitely and that cannot be expressed as the quotient of two integers … New Collegiate Dictionary
Cantor set — In mathematics, the Cantor set, introduced by German mathematician Georg Cantor in 1883 [Georg Cantor (1883) Über unendliche, lineare Punktmannigfaltigkeiten V [On infinite, linear point manifolds (sets)] , Mathematische Annalen , vol. 21, pages… … Wikipedia
Gδ set — In the mathematical field of topology, a Gδ set, is a subset of a topological space that is a countable intersection of open sets. The notation originated in Germany with G for ( German : area) meaning open set in this case and δ for ( German :… … Wikipedia
Borel set — In mathematics, a Borel set is any set in a topological space that can be formed from open sets (or, equivalently, from closed sets) through the operations of countable union, countable intersection, and relative complement. Borel sets are named… … Wikipedia
Proof that π is irrational — Although the mathematical constant known as pi; (pi) has been studied since ancient times, and so has the concept of irrational number, it was not until the 18th century that π was proved to be irrational.In the 20th century, proofs were found… … Wikipedia
Non-Borel set — In mathematics, a non Borel set is a set that cannot be obtained from simple sets by taking complements and at most countable unions and intersections. (For the definition see Borel set.) Only sets of real numbers are considered in this article.… … Wikipedia
Predictably Irrational — Infobox Book name = Predictably Irrational: The Hidden Forces That Shape Our Decisions title orig = translator = image caption = author = Dan Ariely illustrator = cover artist = country = USA language = English series = subject = genre =… … Wikipedia
Naive set theory — This article is about the mathematical topic. For the book of the same name, see Naive Set Theory (book). Naive set theory is one of several theories of sets used in the discussion of the foundations of mathematics.[1] The informal content of… … Wikipedia
