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space over field

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  • 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

  • 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 with one element — In mathematics, the field with one element is a suggestive name for an object that should exist: many objects in math have properties analogous to objects over a field with q elements, where q = 1, and the analogy between number fields and… …   Wikipedia

  • Field of definition — In mathematics, the field of definition of an algebraic variety V is essentially the smallest field to which the coefficients of the polynomials defining V can belong. Given polynomials, with coefficients in a field K , it may not be obvious… …   Wikipedia

  • Field norm — In mathematics, the (field) norm is a mapping defined in field theory, to map elements of a larger field into a smaller one. Contents 1 Formal definitions 2 Example 3 Further properties 4 See also …   Wikipedia

  • Space debris — populations seen from outside geosynchronous orbit (GEO). Note the two primary debris fields, the ring of objects in GEO, and the cloud of objects in low earth orbit (LEO) …   Wikipedia

  • Space — is the extent within which matter is physically extended and objects and events have positions relative to one another [ [http://www.britannica.com/eb/article 9068962/space Britannica Online Encyclopedia: Space] ] . Physical space is often… …   Wikipedia

  • Space weather — is the concept of changing environmental conditions in outer space. It is distinct from the concept of weather within a planetary atmosphere, and deals with phenomena involving ambient plasma, magnetic fields, radiation and other matter in space… …   Wikipedia

  • Space in landscape design — refers to a set of theories that address the meaning and nature of space as a volume and as an element of design.The concept of space as the fundamental medium of landscape design grew from debates tied to modernism, contemporary art,… …   Wikipedia

  • Space burial — is a burial procedure in which a small sample of the cremated ashes of the deceased are placed in a capsule the size of a tube of lipstick and are launched into space using a rocket. As of 2004, samples of about 150 people have been buried in… …   Wikipedia

  • Space charge — is a concept in which excess electric charge is treated as a continuum of charge distributed over a region of space (either a volume or an area) rather than distinct point like charges. This model typically applies when charge carriers have been… …   Wikipedia

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