# n-dimensional space

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## n-dimensional space

[′en di′men·shən·əl ′spās]
(mathematics)
A vector space whose basis has n vectors.
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References in periodicals archive ?
Finding a suitable viewpoint of the hypercube in an n-dimensional space has 2n possible cases.
This textbook explains the geometry of convex sets in n-dimensional space for students in education, the arts, science, and engineering who have taken courses in elementary geometry and linear algebra and have some knowledge of coordinate geometry.
Working with Jerry Pethick and others he mounted N-Dimensional Space in New York in 1970, thought to be the first specialist exhibition of art holography.
Consequently, the data of disease area are linearly separable in the n-dimensional space and are overlapped partially (see Fig.
After a brief introduction, Chapters 2-4 are dedicated to the study of the Clifford algebra of Euclidean 3-dimensional space, Minkowski 4-dimensional space and pseudo-Euclidean n-dimensional space, and to the use of the Clifford numbers in the study of the geometry of such spaces (rotations, reflections, etc.
Phase space reconstruction is the fundamental for analyzing nonlinear signals, by which a time series can be embedded to n-dimensional space.
3) If [alpha] [intersection] [PI] * is an n-dimensional space containing n different from the generators [G.
who studied the most efficient way to arrange spheres in n-dimensional space, a project that could have implications for supercooling liquids; Yale Fan, 18, of Beaverton, Ore.
Moon (1987) described fractal geometry more formally as a geometric property of a set of points in an n-dimensional space having a quality of selfsimilarity at different length scales and having a noninteger fractal dimension less than n.
Viewing input data as two sets of vectors in an n-dimensional space, an SVM will construct a separating hyperplane in that space, one which maximizes the margin between the two data sets.
Then they form a basis of < S > and n is called the dimension of < S >, which is then called an n-dimensional space.
For instance, the Cauchy-Riemann equations, which specify the regularity conditions for a complex-valued function to be analytic (expressible as a power series), generalize to the Lanczos equations in Minkowski spacetime, and then generalize further to the Nijenhuis tensor equations for holomorphic functions in n-dimensional space.

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