# 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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More generally, except in degenerate cases, a number n of (n - 1)-linear surfaces will intersect in a single point in an n-dimensional space.
The boundary on the right is an n-dimensional space with an infinite density of matter, see Fig.
However, none of these approaches use computational geometry concepts in n-dimensional space as introduced in this paper.
Finding a suitable viewpoint of the hypercube in an n-dimensional space has 2n possible cases.
If the upper bound is less than the tolerance, that is, if v < [epsilon], the actual cosine similarity will also be less than the tolerance, and we do not need to compute it in the next n-dimensional space. That is, if v < [epsilon], we can skip Line (8) of the second step.
We observe that [V.sup.h] is a N-dimensional space and [V.sup.h] [subset] V.
Figures 1 and 2 are shown in 3-dimensional space as sample to n-dimensional space.
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.).

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