unit circle

unit circle
a) A circle of radius 1.
b) The circle of radius 1 with centre at the origin, used in defining trigonometric functions.

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  • Unit circle — In mathematics, a unit circle is a circle with a unit radius, i.e., a circle whose radius is 1. Frequently, especially in trigonometry, the unit circle is the circle of radius 1 centered at the origin (0, 0) in the Cartesian coordinate system in… …   Wikipedia

  • unit circle — noun : a circle whose radius is one unit of length long * * * Math. a circle whose radius has a length of one unit. [1950 55] * * * unit circle or unit sphere, Mathematics. a circle or sphere whose radius is one unit of distance …   Useful english dictionary

  • unit circle — Math. a circle whose radius has a length of one unit. [1950 55] * * * …   Universalium

  • unit circle — noun Date: 1955 a circle having a radius of 1 …   New Collegiate Dictionary

  • Orthogonal polynomials on the unit circle — In mathematics, orthogonal polynomials on the unit circle are families of polynomials that are orthogonal with respect to integration over the unit circle in the complex plane, for some probability measure on the unit circle. They were introduced …   Wikipedia

  • Unit — may refer to:In mathematics: * Unit vector, a vector with length equal to 1 * Unit circle, the circle with radius equal to 1, centered at the origin * Unit interval, the interval of all real numbers between 0 and 1 * Imaginary unit, i , whose… …   Wikipedia

  • unit sphere — unit circle or unit sphere, Mathematics. a circle or sphere whose radius is one unit of distance …   Useful english dictionary

  • Circle group — For the jazz group, see Circle (jazz band). Lie groups …   Wikipedia

  • Circle — This article is about the shape and mathematical concept. For other uses, see Circle (disambiguation). Circle illustration showing a radius, a diameter, the centre and the circumference …   Wikipedia

  • Unit disk graph — In geometric graph theory, a unit disk graph is the intersection graph of a family of unit circles in the Euclidean plane. That is, we form a vertex for each circle, and connect two vertices by an edge whenever the corresponding circles cross… …   Wikipedia

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