Sentence examples for be well defined for from inspiring English sources

For each (xin H), the difference of two regularized gap functions (G_{theta}(x -G_{psi}(x -G_{psi} (theta>psi>0) for SVMQVIP (1.1) will not be well defined for (xnotinoperatorname{dom}(f)), as both quantities are not finite.

First, we prove the functions to be well defined for all α > 0. The product ∏ j = 0 n − 1 ( q 2 + ( α + j ) 2 ) is continuous and strictly increasing as a function of q > 0. It tends to ∏ j = 0 n − 1 ( α + j ) 2 < ∏ j = 0 n − 1 ( 1 + α + j ) 2 as q → 0 and to +∞ as q → + ∞.

Counting rules need to be well defined for results to be compared consistently and correctly between analytical laboratories.

This process appeared to be well defined for the GPs, many of whom described similar diagnostic workups and symptom management strategies.

However, the parameter values of the circuits appeared not to be well defined, for some parameters multiple clusters were found, which represented multiple circuit topologies.

Surgical quality improvement requires well-defined benchmarks and accurate reporting of postoperative adverse events, which have not been well defined for total gastrectomy.

Because our cultural identity has been well defined for thousands of years we cannot bear a migratory wave of people who have nothing to do with us … who, on the contrary, aim to absorb us".

which is well defined for,.

Thus is well defined for and (4.41).

Hence is well defined for every,.

Hence is well defined for each.