In an n-dimensional Euclidean space any point can be specified by n real numbers.

You can represent any point on an n-dimensional space by a set of n numbers.

The black and silver singularity twists into cold n-dimensional space.

Since this random vector can lie anywhere in n-dimensional space, it has n degrees of freedom.

In a simplex-based domain, there are n+1 mirrors for n-dimensional space.

The extension of the problem to higher dimensions (that is, for k-dimensional surfaces in n-dimensional space) turns out to be much more difficult to study.

Naturally the question arose whether or not a similar "hypercomplex" number can be defined using points of n-dimensional space.

One could represent the weather as a moving point in an n-dimensional space.

Kirk tried to imagine what an n-dimensional space would be like, and was not surprised to fail.

In more mathematical terms: Let and be two sets of points in an n-dimensional space.