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A literal factor, as numbered in characterizing a term. The term dimensions forms with the cardinal numbers a phrase equivalent to degree with the ordinal; thus, a2b2c is a term of five dimensions, or of the fifth degree.
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The dimension of a vector space is the number of vectors in any basis of the space. Examples: R3 has dimension 3 P3 has dimension 4 (with basis {1,x,x2,x3}) C has dimension 1 when viewed as a vector space with complex scalars, but it has dimension 2 if it is viewed as a vector space with real scalars (with basis {1,}).
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Latin dimensio, a measuring -- there are four known dimensions, the three space coordinates of length, width, and depth, along with the fourth dimension of time in the theory of relativity. The space-time continuum is a four-dimensional continuum with four coordinates, the three dimensions of space and that of time, in which any event can be located.
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1. A division of the universe. The psi concept envisions a physical world and an ethereal realm each of unknown number of strata. The evidence about the ethereal suggests many spiritual planes, which are referred to, at times, as dimensions, or levels. 2. Measurement characteristics about the size of things, such as, the aura, the spirit body.
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an independent axis or direction in space or spacetime. The familiar space around us has three dimensions (left-right, back-forth, up-down) and the familiar spacetime has four (the previous three axes plus the past-future axis). Superstring theory requires the universe to have additional spatial dimensions.
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measure in one direction; specifically: one of three coordinates determining a position in space (X, Y, Z)
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A universe or realm containing space, time, matter, and energy.
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A "space". A dimension's limits are defined by normal physical movement (assisted or unassisted). Reality as we know it, from Earth to the edge of the universe, is one dimension.
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one of three cartesian coordinates that determine a position in space
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a realm separate from the one we live in, a different universe of sorts
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Amount of space an object takes up in one direction.
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A universe or realm containing space, matter, and energy which is separated from our own universe by some physical difference in the space, matter, and energy itself.
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Mathematics: The dimension of a space is the number of coordinates needed to specify a location in the space.
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The range over which something defined extends, which could be, for instance, space or time.
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In mathematics, the dimension of a vector space V is the cardinality (i.e. the number of vectors) of a basis of V. It is sometimes called Hamel dimension or algebraic dimension to distinguish it from other types of dimension. All bases of a vector space have equal cardinality (see dimension theorem for vector spaces) and so the dimension of a vector space is uniquely defined.
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