Associations to the word «Riemann»

RIEMANN, adjective. (mathematics) Pertaining to the mathematician Bernhard Riemann.

RIEMANN INTEGRAL, noun. (analysis) A type of integral whose computation involves dividing the interval of integration into smaller sub-intervals, summing sample values of the integrand inside those sub-intervals multiplied by their lengths, and letting the number of sub-intervals tend to infinity.

RIEMANN SPACE, noun. (mathematics) A subset of Euclidean space in which tensors are used to describe distance, angle, and curvature

RIEMANN SPACES, noun. Plural of Riemann space

RIEMANN SPHERE, noun. (topology) (analysis) The complex plane considered with a single idealised point at infinity, homeomorphic to an ordinary sphere in 3 dimensions.

RIEMANN SURFACE, noun. (mathematics) A one-dimensional complex manifold; a generalization of the complex plane.

RIEMANN ZETA FUNCTION, proper noun. (mathematics) A holomorphic function whose domain is the set of complex numbers (except 1), and for a real number x greater than 1 equals the sum of the series \(\sum_{n=0}^\infty \frac 1 {n^x}\).

RIEMANN ZETA-FUNCTION, proper noun. Alternative spelling of Riemann zeta function

RIEMANN, noun. Pioneer of non-Euclidean geometry (1826-1866).