Sentence examples for operators provided for from inspiring English sources

Let us observe that one can choose and as sequences of -inverse strongly monotone operators and -inverse strongly monotone operators provided for all.

Protein crystals are composed of asymmetric units (ASU), which are the smallest unit of the crystal, and the whole crystal can be generated by rotating and translating the ASU according to the symmetry operators provided for each crystal.

Use all safety devices the ride operator provides for you and your family.

The relation between quantum mechanical symmetries and unitary operators provided an impetus for the development of the unitary representation theory of groups, initiated in the 1928 work of Hermann Weyl.

Network operators provided the contact information for eligible subjects to an external service provider who sent the invitations to participate in the pilot study.

Both network operators provided mobile phone use data for study participants for the first year, in early 2007.

In this paper, we introduce multilinear fractional integrals and its commutators on non-homogeneous metric spaces, then we study the boundedness in Lebesgue spaces for these operators, provided that fractional integral is bounded from (L^{r}(mu)) to (L^{s}(mu)), for some (rin 1, 1/beta)) and (1/s=1/r-beta) with (0

Most train operators provide compensation for a delay of more than 30 minutes through the "delay repay" scheme.

Several cellular operators provide femtocells, for instances, Sprint's Airave femtocell [6] in the US, Verizon's Wireless Network Extender using CDMA in the US [7].

Afterward, an upper bound for the absolute error between the exact and approximate values of Caputo fractional derivative operator is provided (for more details, see [27, 28]).

These operators provide a useful tool for studying boundary value problems for the quaternionic Hermitian system.