Sentence examples for but the corresponding solution from inspiring English sources

The notion of intentionality has been pretty well worked out for cognitive states like believing and knowing, but the corresponding solution for emotional and motivational states has always been a little unsatisfactory.

But the corresponding solution u ∉ L 2 ( R, e − t ).

To prove this fact, suppose if possible that (lambda=lambda_{0} ) is not an eigenvalue but the corresponding solutions (phi_{1} ( x,lambda_{0} ) ) and (chi_{1} ( x,lambda_{0} ) ) are linearly dependent.

Such a circular coaxial cylinder symmetric domain is an unbounded domain, but we assume that the corresponding solution depends only on one radial variable, r in (G={rin R^,0< aleq rleq b<+infty}), in which the related domain G is a bounded domain.

Then (15) In the same manner as above Mc can be found, but we omit the calculation of the corresponding solution formula as this variable is not needed in the parameter estimation.

The corresponding solution algorithm is further discussed.

The magnitude of the challenges and the corresponding solution could be taken up by Congress as a giant math problem, but in the end, racial reconciliation requires a moral and political mandate to make black America whole.

The corresponding solution is considered as the initial basic feasible solution of the original problem.

The wave-maker region for these eigenvectors is shown to be located close to the attachment line by computing the corresponding solution to the adjoint eigenvalue problem.

Furthermore, each interviewee's dialogue contains a phrase which can be interpreted as a method to extract a letter (or letters) from the corresponding solution word.

Upon flow, i.e., mixing the interfacial region with a bulk electrolyte solution, the SFG signals drop according to the bulk ionic strength of the corresponding solution, similar to what is observed for pure water.