Sentence examples for need more delicate from inspiring English sources

Because of the appearance of electromagnetic potential A ( x ), we must consider our problem for complex-valued functions, and so we need more delicate estimates.

Because of the appearance of magnetic fields A ( x ), we must deal with the problem for complex-valued functions and therefore we need more delicate estimates.

Note that although the idea was earlier used for other problems, the adaptation to the procedure to our problem is not trivial at all since the parameters (r,m) satisfy (1< r< m) and we must consider our problem for a suitable space, and so we need more delicate estimates and new technique.

Let us point out that although the idea was used before for other problems, the adaptation to the procedure to our problem is not trivial at all, since the appearance of non-local term, we must consider our problem for suitable space and so we need more delicate estimates.

Let us point out that, although the idea was used before for other problems, the adaptation of the procedure to our problem is not trivial at all; because of the appearance of a non-local term, we must consider our problem for a suitable space and so we need more delicate estimates.

Since the appearance of the quasilinear terms ∑ i, j = 1 N D j ( a i j ( x, u ) D i u ) − 1 2 ∑ i, j = 1 N D s a i j ( x, u ) D i u D j u and ∑ i, j = 1 N D j ( b i j ( x, v ) D i v ) − 1 2 ∑ i, j = 1 N D s b i j ( x, v ) D i v D j v, we need more delicate estimates.

Two dumpling dishes with yogurt and mint — boiled aushak filled with scallion and the steamed mantu filled with chicken or beef — were less interesting; they needed more-delicate pasta and the aushak, at least, would have been improved with pumpkin.

Remark 3.5 If we assume (3.9) holds for all, then we need some more delicate technicalitiesdealing with (3.10).

These extensions, however, need a more delicate analysis and they are beyond the goals of the present paper.  .

These extensions, however, need a more delicate analysis and they are beyond the goals of the present paper.

Incorporating nonlinear components embedded within a network whose topology results in trapped modes may need a more delicate treatment.