Sentence examples for expression of the objective from inspiring English sources

The gradient expression of the objective function then includes only the terms related to physical shape variations.

Under general cases, it is impossible to obtain an explicit expression of the objective function to be optimized.

The discrete expression of the objective function is to minimize the total operating cost as below.

However, from the following explicit expression of the objective function, it can be seen that the problem (7) is too complex to be solved optimally: (9).

Therefore, it is not necessary to provide an explicit analytical expression of the objective or constraint functions for optimization as in the case of analytical approach (Swisher et al. [24]; Fu [25]; Cassandras and Lafortune [26]).

To obtain the above expression of the objective function, the following property has been used: ∑ i = 1 s ′ ( Φ p [ i ] ) H Φ p [ i ] n, l = 1 N, τ = τ ′ ; n = l 0, otherwise (17).

Here expressions of the objective function are obtained by the stepped reduction method.

In the proofs of our duality theorems, we shall make frequent use of the following auxiliary result which provides an alternative expression for the objective function of (P).

Given that article 8 of the directive prevents member states from prohibiting or restricting free movement of products and the freedom to provide services that comply with this directive, 'article 8 of the directive gives expression to the objective laid down in article 1(2) of improving the conditions for the functioning of the internal market' (para 74).

The effect of the resulting target gene knockout R p T for a given spatial area p is calculated as the sum of moduli of relative changes in expression levels of the objective genes for this target.

Interestingly, in this study people's subjective perception of their social connection was more predictive of their gene expression than the objective measures of social connection.