Sentence examples for approximate substitute from inspiring English sources

The pigs – put there because their mass, skin and hair provided an approximate substitute for human beings – died instantly.

In this paper a numerical method is proposed to find an approximate substitute model for geometrical complex structures.

The approximate, substitute model of the position and orientation fields over a finite, multi-coordinate domain is built in a consistent way with the helicoidal modeling of the continuum, as proposed in Part I for a discrete application of variational principles in computational elasticity.

If an approximate substitute to such functions can be obtained, the entire problem could become linear or convex, and obtaining solutions can be a lot easier.

Again, only a suboptimal solution to the original problem can be achieved, but should the approximate substitute of the functions be good enough, the suboptimal solutions can be very close to the optimal, and therefore extremely useful.

lower order partial correlations may be used as approximate substitute of full conditional correlations.

The major setbacks with this approach are that the approximate representation of the original function could contain a number of extra variables, leading to an increase in the decision variables of the entire problem, and solutions obtained through approximate substitutes are usually suboptimal rather than optimal.

Primarily, variational methods for homogenization purposes analyze approximate fields substituted into energy bounds by averaging the energy density (Hashin and Shtrikman 1963), while classical variational methods employ minimum energy principles to generate bounds on effective properties.

Substituting approximate solutions such as Eqs.

From [9, 10] the constant n = 2.233 is found by minimising the least-squares error when the approximate solution is substituted into the heat equation.

It determines a third approximate equation by substituting both 'w' for 'v' and 'a' + 'v' for 'a'a