Sentence examples for functions lies from inspiring English sources

Henceforth the KL measure is used as cost function since the advantage of KL compared to other cost functions lies in the guaranteed convergence to a fixed point.

The advantage of using such weight functions lies certainly in the fact that they are holomorphic in D Open image in new window.

The reason for the interest in semi-convex functions lies in the fact that on the one hand, as the reader will see throughout the exposition, the general theory of gradient flows applies very well to this class of functions and that, on the other hand, they are general enough to cover many interesting cases.

The clinical significance of using cell lines to understand biological functions lies in the fact that they can be examined through various techniques and that they display the same heterogeneity as the primary tumors as well as different grades [ 7, 8].

One important source for new functions lies in the large number of non-classical calpains where one or more of the three amino acid residues essential for enzyme catalytic function have been replaced (grey and half grey circles in Figure 1 and more details in Additional file 1: Table S1).

The rhetorical functions lie in its usage to provoke attitudinal values.

Notably, you'll see that "Questions" has been added to left-column of Facebook, where many of Facebook's main functions lay.

This situation looks completely natural when considering typical examples of functions lying in BMO L ∞, as for instance log | x |.

Also, assume that represent the indicator functions lying on its left and right children; are obtained by (6).

However, subjective feelings that take over internal monitoring and signalling functions lie at the heart of an emotional experience.

These functions lay out the fundamental basis for the methodology by allowing for consideration of customer-level constraints within the system-level decision making process.