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The 6-sphere, or hypersphere in seven dimensions, is the six-dimensional surface equidistant from a point. It has symbol S 6, and the equation for the 6-sphere, radius r, centre the origin is = {: ‖ ‖ =}. The volume of the space bounded by this 6-sphere is
A five-dimensional space is a space with five dimensions. In mathematics , a sequence of N numbers can represent a location in an N -dimensional space . If interpreted physically, that is one more than the usual three spatial dimensions and the fourth dimension of time used in relativistic physics .
Seven-dimensional Euclidean space is seven-dimensional space equipped with a Euclidean metric, which is defined by the dot product. [ disputed – discuss ] More generally, the term may refer to a seven-dimensional vector space over any field , such as a seven-dimensional complex vector space, which has 14 real dimensions.
The Sixth Dimension or Sixth Dimension may refer to: Six-dimensional space, a concept in mathematics and physics; Sixth Dimension, a 2017 album by Power Quest; The Sixth Dimension, a fictional place in the 1982 film Forbidden Zone; The Sixth Dimension, a fictional place in the British-Canadian TV series Ace Lightning
In one complex dimension, the only compact examples are tori, which form a one-parameter family. The Ricci-flat metric on a torus is actually a flat metric, so that the holonomy is the trivial group SU(1). A one-dimensional Calabi–Yau manifold is a complex elliptic curve, and in particular, algebraic.
The dimension of a vector space is the number of vectors in any basis for the space, i.e. the number of coordinates necessary to specify any vector. This notion of dimension (the cardinality of a basis) is often referred to as the Hamel dimension or algebraic dimension to distinguish it from other notions of dimension.
The U.S. Department of Agriculture on Tuesday acknowledged it accidentally fired "several" employees to combat the bird flu and is working to rehire them.
The six HEXACO personality traits. The HEXACO model of personality structure is a six-dimensional model of human personality that was created by Michael C. Ashton and Kibeom Lee and explained in their book The H Factor of Personality (ISBN 9781554588640), [1] based on findings from a series of lexical studies involving several European and Asian languages.