Dimensional Space

Some articles on dimensional, space, dimensional space:

Lie Sphere Geometry in Space and Higher Dimensions - General Theory
... Note that Qn is an (n + 1)-dimensional manifold (spheres are parameterized by their center and radius) ... The space of contact elements is a (2n – 1)-dimensional contact manifold Z2n – 1 in terms of the given choice of point spheres, these contact elements correspond to ... The space Z2n – 1 is therefore isomorphic to the projectivized cotangent bundle of the n-sphere ...
Line Coordinates - Lines in Three-dimensional Space
... Similarly, for two points in three-dimensional space (x1, y1, z1, w1) and (x2, y2, z2, w2), the line containing them is determined by the six determinants This is the basis for a system of ... This system maps the space of lines in three-dimensional space to a projective space of dimension five, but with the additional requirement the space ... More generally, the lines in n-dimensional projective space are determined by a system of n(n − 1)/2 homogeneous coordinates that satisfy a set of (n − 2)(n ...
Flat (geometry)
... In geometry, a flat is a subset of n-dimensional space that is congruent to a Euclidean space of lower dimension ... The flats in two-dimensional space are points and lines, and the flats in three-dimensional space are points, lines, and planes ... In n-dimensional space, there are flats of every dimension from 0 to n – 1 ...
Geometric Calculus - Covariant Derivative
... A sufficiently smooth k-surface in an n-dimensional space is deemed a manifold ... Locally, B acts as a pseudoscalar of the k-dimensional space ... as the geometric derivative is defined over the entire n-dimensional space, we may wish to define an intrinsic derivative, locally defined on the ...
Ludwig Schläfli - Higher Dimensions
... Around 1850 the general concept of Euclidean space hadn't been developed — but linear equations in variables were well-understood ... interpretation analogous to the cartesian coordinates in three-dimensional space ... the study of the linear geometry of -dimensional space ...

Famous quotes containing the words space and/or dimensional:

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    bell hooks (b. c. 1955)

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    Kristin Hunter (b. 1931)