Sentence examples for violation vector from inspiring English sources

Cheng et al. propose a new method for evaluating the feasibility and objective robustness of uncertain structures based on the new concept of interval violation vector, and realize the robust optimization of uncertain structures with interval parameters based on Kriging technique and nested genetic algorithm.

Definition 1 (Interval violation vector).

The feasibility robustness index can be calculated from the total interval violation vector of all the constraints in the robust optimization model considering that the total interval violation vector reversely reflects the feasibility robustness of a constraint function.

And then the formula for calculating the interval violation vector for such a constraint will be simplified as Eq. (6).

Then the formula for calculating the interval violation vector of such a constraint should be adjusted as Eq. (4).

The improvement is gained from the definition of interval violation vector and the robustness-based preferential guidelines.

The mathematical formulae for calculating the interval violation vectors of a design vector corresponding to various constraint functions are provided.

Then the objective and feasibility robustness indices of various design vectors can be calculated based on their values of total interval violation vectors.

But Myrvold (2002) has responded by arguing that locally-initiated state-vector collapse in violation of outcome dependence may be perfectly compatible with relativity.

Through polyhedral vector space partitioning based on constraint violation, critical regions in state vector space are identified.

The controller design prevents constraint violations and ensures convexity while regulating the state vector to origin.