Complete field

In mathematics, a complete field is a field equipped with a metric and complete with respect to that metric. Basic examples include the real numbers, the complex numbers, and complete valued fields (such as the p-adic numbers).

See also

• Completion (ring theory)
• Hensel's lemma
• Henselian ring
• Ostrowski's theorem

This algebra-related article is a stub. You can help Wikipedia by expanding it.v · Categories: Field theory Algebra stubs Wikimedia Foundation. 2010. Игры ⚽ Поможем сделать НИР Elementary diagram Shutouts in baseball Look at other dictionaries: Complete metric space — Cauchy completion redirects here. For the use in category theory, see Karoubi envelope. In mathematical analysis, a metric space M is called complete (or Cauchy) if every Cauchy sequence of points in M has a limit that is also in M or,… …   Wikipedia Field emission — (FE) is the emission of electrons from the surface of a condensed phase into another phase due to the presence of high electric fields. In this phenomenon, electrons with energies below the Fermi level tunnel through the potential barrier at the… …   Wikipedia Complete graph — K7, a complete graph with 7 vertices Vertices n Edges …   Wikipedia Complete bipartite graph — A complete bipartite graph with m = 5 and n = 3 Vertices n + m Edges mn …   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 Museum of Natural History — FMNH redirects here. For the Florida Museum of Natural History, see FLMNH. Field Museum of Natural History U.S. National Register of Historic Places …   Wikipedia Field ration — A French Army combat ration, with two meals and energy bars. A field ration, or combat ration, is a canned or pre packaged meal, easily prepared and eaten, transported by military troops on the battlefield. They are distinguished from regular… …   Wikipedia Field of view — The field of view (also field of vision) is the angular extent of the observable world that is seen at any given moment.Different animals have different fields of view, depending on the placement of the eyes. Humans have an almost 180 degree… …   Wikipedia Field of sets — Set algebra redirects here. For the basic properties and laws of sets, see Algebra of sets. In mathematics a field of sets is a pair where X is a set and is an algebra over X i.e., a non empty subset of the power set of X closed under the… …   Wikipedia Field-programmable gate array — FPGAs should not be confused with the flip chip pin grid array, a form of integrated circuit packaging. A field programmable gate array is a semiconductor device containing programmable logic components called logic blocks , and programmable… …   Wikipedia 18+ © Academic, 2000-2024 Contact us: Technical Support, Advertising Dictionaries export, created on PHP, Joomla, Drupal, WordPress, MODx. Mark and share Search through all dictionaries Translate… Search Internet Share the article and excerpts Direct link … Do a right-click on the link above and select “Copy Link”