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

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

non-Archimedean refers to something without the Archimedean property. This includes: Ultrametric space in particular, a domain with non-Archimedean absolute...

Archimedean point Archimedean property Archimedean solid Archimedean spiral Archimedean tiling Archimedean screw Claw of Archimedes The Archimedeans, the mathematical...

In mathematics, a non-Archimedean ordered field is an ordered field that does not satisfy the Archimedean property. Such fields will contain infinitesimal...

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

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...

2 {\displaystyle {\sqrt {2}}} is not rational. These properties imply the Archimedean property (which is not implied by other definitions of completeness)...

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...

such a geometry is the Dehn plane. Non-Archimedean geometries may, as the example indicates, have properties significantly different from Euclidean geometry...