Sentence examples for whose multiplication from inspiring English sources

We show that the framework developed by Voiculescu for free random variables can be extended to arrays of random variables whose multiplication imitates matricial multiplication.

A local loop on an analytic manifold whose multiplication can be written in this form in some coordinate chart is called analytic.

Quasi *-algebras [28, 29] arise in natural way as completions of locally convex *-algebras whose multiplication is not jointly continuous; in this case one has to deal with topological quasi *-algebras.

A commutative ring is a ring whose multiplication is commutative.

This is probably most apparent in the skin where c-Myc upregulation is associated with the transition from slow-dividing keratinocyte stem cells to highly proliferative transit-amplifier cells, whose multiplication is needed to meet the requirements of an organ that is continuously sloughing off terminally differentiated cells [38].

It remains to be determined whether the effect observed in our study is species specific or would affect other pathogens whose multiplication can occur in the stomach.

Using iterative methods, computational effort is driven by matrix-vector multiplication whose cost, in turn, is essentially determined by NNZ, the number of nonzero entries of the solution matrix.

The computation of u k needs one FFT and three matrix vector multiplications, whose complexity is upper bounded by O logN s +3ML) CMs.

In addition, there is a matrix multiplication algorithm for this multiplication variant, whose running time M n) over two n × n matrices satisfies M n) = o(n).

The second hidden layers are composed of neurons with multiplication function, whose outputs are the products of the inputs.

Let be considered as a real unital abelian Banach algebra under ordinary complex multiplication and whose norm is the absolute value.