root of unity

root of unity
a complex number that when raised to some positive integral power results in 1.

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Universalium. 2010.

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  • Root of unity — The 5th roots of unity in the complex plane In mathematics, a root of unity, or de Moivre number, is any complex number that equals 1 when raised to some integer power n. Roots of unity are used in many branches of mathematics, and are especially …   Wikipedia

  • root of unity — a real or complex solution of the equation xn 1 . 0 where n is an integer * * * Math. a complex number that when raised to some positive integral power results in 1 …   Useful english dictionary

  • Root (disambiguation) — A root is the part of a plant that is below ground. Root or Roots may also refer to: Contents 1 Computing 2 Geography 2.1 Switzerland …   Wikipedia

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  • root — root1 rootlike, adj. /rooht, root/, n. 1. a part of the body of a plant that develops, typically, from the radicle and grows downward into the soil, anchoring the plant and absorbing nutriment and moisture. 2. a similar organ developed from some… …   Universalium

  • Root — /rooht/, n. 1. Elihu /el euh hyooh /, 1845 1937, U.S. lawyer and statesman: Nobel peace prize 1912. 2. John Wellborn /wel beuhrn/, 1851 91, U.S. architect. * * * In botany, the underground anchoring part of a plant. It grows downward in response… …   Universalium

  • Root locus — In control theory, the root locus is the locus of the poles and zeros of a transfer function as the system gain K is varied on some interval. The root locus is a useful tool for analyzing single input single output (SISO) linear dynamic systems.… …   Wikipedia

  • Unity of type — Type Type, n. [F. type; cf. It. tipo, from L. typus a figure, image, a form, type, character, Gr. ? the mark of a blow, impression, form of character, model, from the root of ? to beat, strike; cf. Skr. tup to hurt.] [1913 Webster] 1. The mark or …   The Collaborative International Dictionary of English

  • nth root — In mathematics, the nth root of a number x is a number r which, when raised to the power of n, equals x rn = x, where n is the degree of the root. A root of degree 2 is usually called a square root and a root of degree 3, a cube root. For example …   Wikipedia

  • Square root — Measured fall time of a small steel sphere falling from various heights. The data is in good agreement with the predicted fall time of , where h is the height and g is the acceleration of gravity. In mathematics, a square root of a number x is a… …   Wikipedia

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