Sentence examples for be defined as usual from inspiring English sources

Here, denotes the forward difference operator to be defined as usual, that is,.

But the results of [4] show that if α < p − 1, one can define the trace of u on the boundary, and the homogeneous boundary value condition can be defined as usual.

The Z-score of transcript t is defined (as usual) by (Prob t, p) - E p, n))/S p, n).

If is defined as usual, and (2.21).

The forward difference is defined as usual, that is,.

The spaces (L^p) are defined as usual.

We take the propositional connectives & and ¬ to be primitive; other propositional connectives are defined as usual.

Then is a Banach space, where is defined as usual by the sup norm.

The center-of-mass and relative position coordinates are defined as usual, (4).

The homogenized core density ρ is defined as usual for sandwich core materials.

A continuous (resp. symmetric/homogeneous) mean is defined as usual; see, for instance, [6].