n-dimensional
Adjective
Meaning
n-dimensional (not comparable)
(mathematics) Having an arbitrary number of dimensions.
Examples
A construction on Lie groups On an n-dimensional Lie group, Haar measure can be constructed easily as the measure induced by a left-invariant n-form.
All of the basic properties listed above hold for the n-dimensional Fourier transform, as do Plancherel's and Parseval's theorem.
By 1854, Bernhard Riemann 's Habilitationsschrift had firmly established the geometry of higher dimensions, and thus the concept of n-dimensional polytopes was made acceptable.
For instance, if an LCG is used to choose points in an n-dimensional space, the points will lie on, at most, (n!
Hence, by Sperner's lemma, there is an n-dimensional simplex whose vertices are colored with the entire set of (n+1) available colors.
However, they are special cases of a more general definition that is valid for any kind of n-dimensional convex or non-convex object, such as a hypercube or a set of scattered points.