non-zero

A well known result of Posner (19) states that for a non-zero derivation d of a prime ring R, if [[d(x), x], y] = 0 for all x, y [member of] R, then R is commutative.

In the article I acknowledge the fact that the likelihood of having to deal with such a situation is extremely low, yet non-zero. It is therefore up to the individual pilot to balance the risk vs.

In case of unstructured mesh hierarchies, the corresponding matrix representations of the involved operators are sparse and non-zero entries are randomly scattered.

The most straightforward method is to use a linear calibration line with a non-zero intercept.

After calculations were done for different values of viscous damping calculations for non-zero value of connection springs stiffness were also done.

Hayden [9] introduced a metric connection [[??] with a non-zero torsion on a Riemannian manifold.

Thus, each relative address [??] written in the shortest path form has at most two non-zero components, and they have different sign.

To generate the non-zero elements of a finite field, we perform repeated exponentiations on the primitive element a until all the non-zero elements are generated.

If about the system acts the forces [F.sub.1], [F.sub.2], then only a part from the efforts from bars is non-zero.

Here [([[alpha].sup.l.sub.j] a).sup.2] are the non-zero roots of

As there are p - 1/2 values at each column, p - 1/2 - 1 = p - 3/2 values are non-zero. By [4], we know that the number of pairs of consecutive quadratic residues modulo p is given by the formula