trichotomy law

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• trichotomy property — Math. the property that for natural numbers a and b, either a is less than b, a equals b, or a is greater than b. Also called law of trichotomy, trichotomy law, trichotomy principle. * * * …   Universalium

• trichotomy property — Math. the property that for natural numbers a and b, either a is less than b, a equals b, or a is greater than b. Also called law of trichotomy, trichotomy law, trichotomy principle …   Useful english dictionary

• Trichotomy (mathematics) — Generally, a trichotomy is a splitting into three disjoint parts. In mathematics, the law (or axiom) of trichotomy is most commonly the statement that for any (real) numbers x and y , exactly one of the following relations holds::xy.If applied to …   Wikipedia

• law of trichotomy — Math. See trichotomy property. * * * …   Universalium

• law of trichotomy — Math. See trichotomy property …   Useful english dictionary

• Pseudo-order — In constructive mathematics, a pseudo order is a constructive generalisation of a linear order to the continuous case. The usual trichotomy law does not hold in the constructive continuum because of its indecomposability, so this condition is… …   Wikipedia

• arithmetic — arithmetically, adv. n. /euh rith meuh tik/; adj. /ar ith met ik/, n. 1. the method or process of computation with figures: the most elementary branch of mathematics. 2. Also called higher arithmetic, theoretical arithmetic. the theory of… …   Universalium

• analysis — /euh nal euh sis/, n., pl. analyses / seez /. 1. the separating of any material or abstract entity into its constituent elements (opposed to synthesis). 2. this process as a method of studying the nature of something or of determining its… …   Universalium

• Inequation — In mathematics, an inequation is a statement that two objects or expressions are not the same, or do not represent the same value.[1] This relation is written with a crossed out equal sign ( ≠ ) as in Verbally it may be spoken as does not equal,… …   Wikipedia

• Cardinal assignment — In set theory, the concept of cardinality is significantly developable without recourse to actually defining cardinal numbers as objects in theory itself (this is in fact a viewpoint taken by Frege; Frege cardinals are basically equivalence… …   Wikipedia

• Ley de tricotomía — En particular, en los Números Reales, además de las propiedades de producto y suma (que en este conjunto son cerradas), se puede destacar una propiedad de vital importancia para la Matemática, que es el orden. En otras palabras es un conjunto… …   Wikipedia Español