Sentence examples for a vector of design variables from inspiring English sources

where J is an objective, x is a vector of design variables, g is a vector of inequality constraints, h is another vector of equality constraints, c and d are constants and x min and x max are vectors, which constitutes lower and upper bounds, which applies on the design variables.

The genetic algorithm is employed to perform an optimal design based on a fixed-length vector of design variables.

Although the proposed GA uses a fixed-length vector of design variables representing member areas and change in nodal coordinates, a simple member exclusion principle is introduced to obtain differing topologies.

It is

X is the vector of design variables which serve to describe the conformational information of a ligand molecule.

The vector of design variables represents correspondingly the damage extent of elements discretized by the finite element model.

Mathematically, a constrained optimization problem (COP) can be stated as: hbox{min} varPhi (vec{kappa }) (1)subject to vec{f} vec{kappa }) = 0 (2) vec{g} vec{kappa }) le 0 (3)where (vec{kappa } in {mathbb{R}}^{M}) is the vector of design variables and (varPhi left( {vec{kappa }} right):{mathbb{R}}^{X} to {mathbb{R}}) is the objective function.

Specifically, each latent variable is expressed as a vector of design saliences (e.g., Fig.  4 A) and a vector of source saliences (e.g., Fig.  4 B), as well as a scalar singular value (s).

The particle shape is parametrized using a set of design variables which are the magnitudes of vectors from a reference point inside the particle to points on the particle/matrix interface.

The partial derivative of the probability with respect to x i is defined as: (23) ∂ p ∂ x i = lim δ x → 0 P g (x + δ x · ϵ i, θ ) ⩽ 0 - P g (x, θ ) ⩽ 0 δ x, where ϵ i is a vector with the same size as the set of design variables x, the i th element of ϵ i is equal to one, the other terms are all equal to zero.

Definition of design variables.