Sentence examples for proper factor from inspiring English sources

So (R) is not primitive, but every primitive factor ring is artinian (indeed all proper factor rings are artinian).

Therefore, it is necessary to divide the base shear by the total structural mass by times a proper factor to convert it to appropriate intensity measure.

A module (M) is called Hopfian if (M) is not isomorphic to any of its proper factor modules (equivalently, every onto endomorphism of (M) is 1-1).

Let M ′ be the set of modules M ′ which are proper submodules or proper factor modules of modules in M. By assumption, there are only finitely many isomorphism classes of modules in M ′.

By the works of Berlekamp (1967, 1970) and Zassenbaus (1969), the general problem reduces deterministically in polynomial time to finding a proper factor of any squarefree and completely splitting polynomial over a prime field Fp.

It is proved that a proper factor of a polynomial can be found deterministically in polynomial time, under ERH, if its roots do not satisfy some stringent condition, called super square balanced.

Other classes of numbers include square numbers i.e., those that are squares of integers; perfect numbers, those that are equal to the sum of their proper factors; random numbers, those that are representative of random selection procedures; and prime numbers, integers larger than 1 whose only positive divisors are themselves and 1.

For design purpose, proper factors of safety were selected.

Develop proper factors to choose the best segment-strategy, considering the vision statement.

Moreover, we will also see that an equivalent result to the HOT method could be achieved by setting proper factors.

We also show that this proposed loading variable factors method can achieve an equivalent result to the higher-order truncation method by setting proper factors.