ultrametric
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Ultrametric space — In mathematics, an ultrametric space is a special kind of metric space in which the triangle inequality is replaced with d(x, z) ≤ max{d(x, y), d(y, z)}. Sometimes the associated metric is also called a non Archimedean metric or super metric.… … Wikipedia
ultrametric — … Useful english dictionary
Algebraic number field — In mathematics, an algebraic number field (or simply number field) F is a finite (and hence algebraic) field extension of the field of rational numbers Q. Thus F is a field that contains Q and has finite dimension when considered as a vector… … Wikipedia
Absolute value (algebra) — In mathematics, an absolute value is a function which measures the size of elements in a field or integral domain. More precisely, if D is an integral domain, then an absolute value is any mapping | thinsp; sdot; thinsp;| from D to the real… … Wikipedia
Glossary of topology — This is a glossary of some terms used in the branch of mathematics known as topology. Although there is no absolute distinction between different areas of topology, the focus here is on general topology. The following definitions are also… … 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
Metric (mathematics) — In mathematics, a metric or distance function is a function which defines a distance between elements of a set. A set with a metric is called a metric space. A metric induces a topology on a set but not all topologies can be generated by a metric … Wikipedia
Distance matrices in phylogeny — Distance matrices are used in phylogeny as non parametric distance methods were originally applied to phenetic data using a matrix of pairwise distances. These distances are then reconciled to produce a tree (a phylogram, with informative branch… … Wikipedia
Inframetric — In mathematics, an inframetric is a distance function between elements of a set that generalizes the notion of metric. It is defined by the followingweaker version ofthe triangle inequality: d ( x , z ) le; ho max{ d ( x , y ), d ( y , z )} for… … Wikipedia
p-adic analysis — In mathematics, p adic analysis is a branch of number theory that deals with the mathematical analysis of functions of p adic numbers. The theory of complex valued numerical functions on the p adic numbers is just part of the theory of locally… … Wikipedia
