superreal

superreal

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  • Superreal number — The superreal numbers are an extension of the real numbers, similar to the surreal numbers or hyperreal numbers, but comprising a more inclusive category than either one.Formal DefinitionSuppose X is a Tychonoff space, also called a T3.5 space,… …   Wikipedia

  • superreal — adjective a) Above or beyond what is real. b) Of or pertaining to the , a generalization of the hyperreal numbers …   Wiktionary

  • Number — For other uses, see Numbers (disambiguation). A number is a mathematical object used to count and measure. In mathematics, the definition of number has been extended over the years to include such numbers as zero, negative numbers, rational… …   Wikipedia

  • Hyperreal number — *R redirects here. For R*, see Rockstar Games. The system of hyperreal numbers represents a rigorous method of treating the infinite and infinitesimal quantities. The hyperreals, or nonstandard reals, *R, are an extension of the real numbers R… …   Wikipedia

  • Surreal number — In mathematics, the surreal number system is an arithmetic continuum containing the real numbers as well as infinite and infinitesimal numbers, respectively larger or smaller in absolute value than any positive real number. The surreals share… …   Wikipedia

  • Кардинальное число — Эта статья  о математическом термине. О других значениях см. Кардинал (значения). Алеф ноль, наименьший бесконечный кардинал. Кардинальным числом или коротко кардиналом в теории множеств называется объект, который характеризует мощность… …   Википедия

  • Complex number — A complex number can be visually represented as a pair of numbers forming a vector on a diagram called an Argand diagram, representing the complex plane. Re is the real axis, Im is the imaginary axis, and i is the square root of –1. A complex… …   Wikipedia

  • Computable number — In mathematics, particularly theoretical computer science and mathematical logic, the computable numbers, also known as the recursive numbers or the computable reals, are the real numbers that can be computed to within any desired precision by a… …   Wikipedia

  • Field (mathematics) — This article is about fields in algebra. For fields in geometry, see Vector field. For other uses, see Field (disambiguation). In abstract algebra, a field is a commutative ring whose nonzero elements form a group under multiplication. As such it …   Wikipedia

  • Integer — This article is about the mathematical concept. For integers in computer science, see Integer (computer science). Symbol often used to denote the set of integers The integers (from the Latin integer, literally untouched , hence whole : the word… …   Wikipedia

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