Note that these are not identically equal to the accepted strain energies for the parent ring system, although they are quite close.

The permanent is the case where is the trivial character, which is identically equal to 1.

For a symmetric wing, the even terms of the series coefficients are identically equal to 0, and so can be dropped.

In this case, the epigraph is empty if and only if f is identically equal to infinity.

If a sequence of polynomials all of whose roots are real converges in a neighborhood of the origin to a limit which is not identically equal to zero, then this limit is an entire function.

If p is a prime number and is an integer polynomial over of degree n and not identically equal to zero (with at least one coefficient not divisible by p), then has at most n solutions in .

The formula for the area of "R" mentioned above is retrieved by taking "f" identically equal to 1.

He did point out that total saving is identically equal to total investment.

It was identically equal to the Rijnland voet and was introduced into South Africa by the Dutch settlers in the seventeenth and eighteenth century.

The obvious corollary from this theorem is that the "best" among regular estimators are those with the second component identically equal to zero.