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...

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

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

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 Archimedes' spiral, the arithmetic spiral) is a spiral named after the 3rd-century BC Greek mathematician Archimedes...

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

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

critics note that highest median rules violate participation and the Archimedean property; highest median rules can fail to elect a candidate almost-unanimously...