Sentence examples for Consider the associated from inspiring English sources

Consider the associated sheaf theoretical and D-module integral transforms given byΦSF=Rg!f−1F[d] andΦSM=g!f−1M, whereRg!andf−1 resp.gandf−1) denote the direct and inverse image functors for sheaves (resp. for D-modules), andd=dS−dYis the difference of dimension betweenSandY.

The two- and three-dimensional user subroutines which can consider the associated or non-associated flow rule were developed on the platform of the finite element program ABAQUS.

After establishing a combinatorial characterization of bi-Boolean independence, we will consider the associated convolutions and transforms of this independence.

The murder of American diplomats in Libya has given me reason to pause and consider the associated risks.

Given an appropriate symbol function, we consider the associated Hankel operator together with the Hankel operator associated with that symbol function's complex conjugate.

Thus, instead of selecting the system parameters as states, we consider the associated parameter gPC coefficients as state variables which reduces the problem of estimating the complete distribution of parameters down to identification of a few gPC coefficients.

Concerning the ES model, after having chosen a time window, we estimate it considering the associated AIC value.

We do not report the studies with embryonic stem cells considering the associated ethical problem and the major risk of tumors correlated to them.

Take with no loss in generality the norm-induced metric and consider the associate metric space (X,d) which can be identified with (X, || ||) in this context.

But employees should consider the risks associated with wellness programs.

The contributors consider the changes associated with green building through a sociological and organizational lens.