The addressing formula is completely defined by the dimension d, the base address B, and the increments c, c, .

Suppose that R is regular of dimension d and that M N has finite length.

Its dimension d is the number of infinite places over which D splits.

One way is to extend everything into the extra dimensions, so that U(1) monopoles become sheets of dimension d 3.

The critical behaviour of the spherical model was derived in the completely general circumstances that the dimension d may be a real non-integer dimension.

For any compact oriented submanifold N M of dimension d, one can define a so-called fundamental class .

In dimension d 2, however, it is no longer as straightforward to discuss such equations.

The dimension d of C is just .

In general, unfortunately, such a dependency is inevitable: take for example a diagonal random sign matrix of dimension "d".

If has dimension d, the dimension of is at most kd+d+k.