In particular, it is a regular local ring of dimension n.

That means they are constrained to lie in a space of dimension n 1.

In a vector space of dimension n, one usually considers only the vectors.

There are at least two disjoint subspaces of dimension n 1.

Thus the n-skeleton is the largest subcomplex of dimension n or less.

For the inductive case, assume that proportionality is true in dimension n 1.

This means that the coefficient of t in this series is the dimension n defined above.

The dimension n of the matrices C is not related to the phase space X.

Currently the best known result is that there exists a lattice in dimension n with density bigger or equal to for some number c.

A hyperplane of an n-dimensional space is a flat subset with dimension n 1.