Sentence examples for an integral basis from inspiring English sources

If (varphi _1 x,y,r)) and (varphi _2 x,y,r)) is an integral basis, its general solution is (Phi (varphi _1,varphi _2)) where (Phi ) is an undetermined function of its two arguments.

Recognition of the nature of the ANs' work, combined with attention to their needs and active engagement in problem-solving seemed to form an integral basis for development of a supportive interpersonal relationship that enabled the AN's motivation and ability to perform.

We present the algorithmic approaches to attack general integer programs the first approach is based on the use of cutting planes, the Integral Basis Method is a second approach.

Firstly, we develop an algorithm that finds a Pisot number α such that Q="F given a real Galois extension F of Q by its integral basis.

Six competing distribution networks are compared on this integral basis.

This algorithm is based on the lattice reduction, and it runs in time polynomial in the size of the integral basis.

Some guidelines are provided for the selection of the crossover frequency on the basis of an integral performance index (ITAE).

This research unveils the advantages and disadvantages of the various existing packaging designs and provides a reliable theoretical and experimental basis for achieving an integral evaluation of the performance of FAC.

In most cases of practical interest, the orthonormal basis comes from an integral or differential operator, in which case the series converges in the distribution sense.

However, these studies and clinical experience suggest that when CGM is added to the regimen of existing pump users, many consider it as an optional tool to be used on an intermittent basis rather than an integral and necessary part of effective pump management.

On the basis of this fact, an integral criterion identifying the fault direction is constructed.