Non-Archimedean

Non-Archimedean

In mathematics and physics, non-Archimedean refers to something without the Archimedean property. This includes:

See also


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  • Non-archimedean time — A non Archimedean time theory of time is any theory that holds that there exist instants infinitely in the future or infinitely in the past. It is so called because, if the instants of such time are assigned numbers, the set of such numbers must… …   Wikipedia

  • Non-Archimedean time — A non Archimedean time theory of time is any theory that holds that there exist instants infinitely in the future or infinitely in the past. It is so called because, if the instants of such time are assigned numbers, the set of such numbers must… …   Wikipedia

  • Non-Archimedean ordered field — In mathematics, a non Archimedean ordered field is an ordered field that does not satisfy the Archimedean property. Examples are the Levi Civita field, the hyperreal numbers, the surreal numbers, the Dehn field, and the field of rational… …   Wikipedia

  • Archimedean property — In abstract algebra and analysis, the Archimedean property, named after the ancient Greek mathematician Archimedes of Syracuse, is a property held by some ordered or normed groups, fields, and other algebraic structures. Roughly speaking, it is… …   Wikipedia

  • Archimedean group — In abstract algebra, a branch of mathematics, an Archimedean group is an algebraic structure consisting of a set together with a binary operation and binary relation satisfying certain axioms detailed below. We can also say that an Archimedean… …   Wikipedia

  • Non-standard analysis — Abraham Robinson Gottfried Wilhelm Leibniz argued tha …   Wikipedia

  • Archimedean Dynasty — Éditeur Blue Byte Software Développeur Massive Development …   Wikipédia en Français

  • Archimedean solid — In geometry an Archimedean solid is a highly symmetric, semi regular convex polyhedron composed of two or more types of regular polygons meeting in identical vertices. They are distinct from the Platonic solids, which are composed of only one… …   Wikipedia

  • Archimedean field — In mathematics, an Archimedean field is an ordered field with the Archimedean property, named after the ancient Greek mathematician Archimedes of Syracuse.In an ordered field F we can define the absolute value of an element x in F in the usual… …   Wikipedia

  • Archimedean — (mathematical) A number series is Archimedean if: (∀x )(∀y )(∃n)(0 < x < y → y < n x ) Well behaved numbers are Archimedean: take any two numbers, however far apart they are, then there is some number that you can multiply the smaller by …   Philosophy dictionary

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