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formally real field

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  • Formally real field — In mathematics, a formally real field in field theory is a field that shares certain algebraic properties with the real number field. A formally real field F may be characterized in any of the following equivalent ways:* −1 is not a sum of… …   Wikipedia

  • Real field — may refer to: * Real numbers, the numbers that can be represented by infinite decimals * Formally real field, an algebraic field that has the so called real property …   Wikipedia

  • Real closed field — In mathematics, a real closed field is a field F in which any of the following equivalent conditions are true:#There is a total order on F making it an ordered field such that, in this ordering, every positive element of F is a square in F and… …   Wikipedia

  • Real number — For the real numbers used in descriptive set theory, see Baire space (set theory). For the computing datatype, see Floating point number. A symbol of the set of real numbers …   Wikipedia

  • Glossary of field theory — Field theory is the branch of mathematics in which fields are studied. This is a glossary of some terms of the subject. (See field theory (physics) for the unrelated field theories in physics.) Definition of a field A field is a commutative ring… …   Wikipedia

  • Ordered field — In mathematics, an ordered field is a field together with a total ordering of its elements that is compatible with the field operations. Historically, the axiomatization of an ordered field was abstracted gradually from the real numbers, by… …   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

  • Field electron emission — It is requested that a diagram or diagrams be included in this article to improve its quality. For more information, refer to discussion on this page and/or the listing at Wikipedia:Requested images. Field emission (FE) (also known as field… …   Wikipedia

  • Field extension — In abstract algebra, field extensions are the main object of study in field theory. The general idea is to start with a base field and construct in some manner a larger field which contains the base field and satisfies additional properties. For… …   Wikipedia

  • Real-time locating — Articleissues confusing=July 2008 refimprove=May 2008 essay=May 2008: This page specifically concerns operational aspects of RTLS. For methodology issues see locating engine. For technology issues see wireless. According to ISO/IEC JTC1 SC31 and… …   Wikipedia

  • Real-time locating standards — Articleissues copyedit=May 2008According to ISO/IEC FDIS 19762 5 [ [http://www.autoid.org/SC31/sc31.htm] (ISO Subcommittee SC31)] an RTLS (real time locating system) is a combination of hardware and software that is used to continuously determine …   Wikipedia

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