of mathematics, an Archimedean group is a linearly ordered group for which the Archimedean property holds: every two positive group elements are bounded...

In abstract algebra and analysis, the Archimedean property, named after the ancient Greek mathematician Archimedes of Syracuse, is a property held by...

In geometry, an Archimedean solid is one of 13 convex polyhedra whose faces are regular polygons and whose vertices are all symmetric to each other. They...

The Archimedean spiral (also known as the arithmetic spiral) is a spiral named after the 3rd-century BC Greek mathematician Archimedes. It is the locus...

refer to: Archimedean absolute value Archimedean circle Archimedean constant Archimedean copula Archimedean field Archimedean group Archimedean point Archimedean...

In mathematics, a field K is called a (non-Archimedean) local field if it is complete with respect to a topology induced by a discrete valuation v and...

showed that every Archimedean group (a bi-ordered group satisfying an Archimedean property) is isomorphic to a subgroup of the additive group of real numbers...

below. Archimedean absolute value Archimedean circle Archimedean copula Archimedean group Archimedean ordered field Archimedean point Archimedean property...

{\displaystyle \mathbb {R} } is the additive group of real numbers (with its standard order), Ω is the set of Archimedean equivalence classes of G, and R Ω {\displaystyle...

or an "Archimedean absolute value". There are several objects defined from a given valuation v : K → Γ ∪ {∞} ; the value group or valuation group Γv = v(K×)...

Ordered groups, ordered rings and ordered fields: each type of structure with a compatible partial order. Archimedean group: a linearly ordered group for...

that a partially ordered group is Archimedean, though for a lattice-ordered group to be integrally closed and to be Archimedean is equivalent. There is...

In mathematics, a Catalan solid, or Archimedean dual, is a polyhedron that is dual to an Archimedean solid. There are 13 Catalan solids. They are named...

patterns, Branko Grünbaum calls the vertex-uniform tilings Archimedean, in parallel to the Archimedean solids. Their dual tilings are called Laves tilings in...

abelianization of the Weil group. For archimedean local fields the Weil group is easy to describe: for C it is the group C× of non-zero complex numbers...

In geometry, the rhombicosidodecahedron is an Archimedean solid, one of thirteen convex isogonal nonprismatic solids constructed of two or more types...

6-uniform tilings. Each can be grouped by the number m of distinct vertex figures, which are also called m-Archimedean tilings. Finally, if the number...

formulation, the Langlands group should be an extension of the Weil group by a compact group. When F is local archimedean, LF is the Weil group of F, when F is local...

In geometry, the truncated dodecahedron is an Archimedean solid. It has 12 regular decagonal faces, 20 regular triangular faces, 60 vertices and 90 edges...

Archimedean Dynasty (German: Schleichfahrt, meaning silent running) is the first of the AquaNox series of computer games, developed by Massive Development...

this semilattice. Furthermore, the components Sa are all Archimedean semigroups. An Archimedean semigroup is one where given any pair of elements x, y ...

fields obtained from K by completing with respect to all its Archimedean and non Archimedean valuations v). Thus, in terms of Galois cohomology, Ш(A/K)...

that is complete and locally Archimedean. As with the previous two examples, this set is no longer a field or additive group. Ordered fields extending the...

Theodorus: an approximation of the Archimedean spiral composed of contiguous right triangles The involute of a circle Archimedean spiral hyperbolic spiral Fermat's...

each separating a triangle from a pentagon. As such it is one of the Archimedean solids and more particularly, a quasiregular polyhedron. An icosidodecahedron...

{\displaystyle z} . Sometimes the associated metric is also called a non-Archimedean metric or super-metric. An ultrametric on a set M is a real-valued function...

{\displaystyle x\in K} . The second and third classes are Archimedean places and non-Archimedean (or ultrametric) places. The completion of K {\displaystyle...

In geometry, the truncated icosahedron is an Archimedean solid, one of 13 convex isogonal nonprismatic solids whose 32 faces are two or more types of...

has been called the Archimedean honeycombs by analogy with the convex uniform (non-regular) polyhedra, commonly called Archimedean solids. Recently Conway...

include deriving an approximation of pi, defining and investigating the Archimedean spiral, and devising a system using exponentiation for expressing very...