Superparticular Su`per*par*tic"u*lar, a. [L. superparticularis. See {Super-}, and {Particular}.] (Math.) Of or pertaining to a ratio when the excess of the greater term over the less is a unit, as the ratio of 1 to 2, or of 3 to 4. [Obs.] --Hutton. [1913 Webster]

The Collaborative International Dictionary of English. 2000.

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  • superparticular — adjective Pertaining to a ratio of any whole number to the next below it (i.e. , etc.). When a number contains the whole of another in itself, and some part of it besides, it is called superparticular. And if the part of the less it contains is… …   Wiktionary

  • superparticular — “+ adjective Etymology: Late Latin superparticularis, from Latin super + particula small part + aris ar more at particle : of or relating to a ratio in which the greater term exceeds the less by a unit the ratios of 4 to 3 and of 8 to 7 are… …   Useful english dictionary

  • superparticular — su·per·particular …   English syllables

  • Superparticular number — Superparticular numbers, also called epimoric ratios, are ratios of the form Thus: A superparticular number is when a great number contains a lesser number, to which it is compared, and at the same time one part of it. For example, when 3 and 2… …   Wikipedia

  • superparticular number — noun A number in the form of a ratio where the dividend equals the divisor plus one. 2/1 and 3/2 and 4/3 and 8/7 are all examples of superparticular numbers. Syn: epimoric ratio, superparticular ratio …   Wiktionary

  • multiple superparticular — noun The sum of a whole number and a number of the form for a whole number larger than . is a multiple superparticular, as it is …   Wiktionary

  • Størmer's theorem — In number theory, Størmer s theorem, named after Carl Størmer, gives a finite bound on the number of consecutive pairs of smooth numbers that exist, for a given degree of smoothness, and provides a method for finding all such pairs using Pell… …   Wikipedia

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  • Tritone — For other uses, see Tritone (disambiguation). tritone Inverse tritone Name Other names augmented fourth, diminished fifth Abbreviation TT Size …   Wikipedia

  • Carl Størmer — Infobox Scientist name = PAGENAME box width = image width =150px caption = PAGENAME birth date = September 3, 1874 birth place = Skien death date = August 13, 1957 death place = residence = citizenship = nationality = Norwegian ethnicity = field …   Wikipedia

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