Sentence examples for basis of these solutions from inspiring English sources

On the basis of these solutions, we investigated quantum characteristics of the superposition states.

On the basis of these solutions, the displacement and temperature discontinuity boundary element method is proposed.

We construct a special basis of the solutions in Section 3 and introduce some functions that are independent of this basis.

Operations on the basis of the solution space permit modest alterations of the transients toward the target steady state.

The approach is constructive: controller parameterizations can be computed on the basis of the solution of the LMI synthesis conditions.

This approach is constructive: a procedure for the determination of controller parameterizations is given on the basis of the solution of the LMI synthesis conditions.

In the example of the 2-dimensional case, we show that the Bessel functions appear as the basis of the solution space of the above equation.

If D exceeds the limit Dmax, then correct the pressure pn+1 on the basis of the solution of the pressure error equation and return to step iv).

On the basis of the solution set (S u)) and the target set W, a suitable definition of optimal time is given.

Moreover, Z and Z ˜ are linearly independent (even normalized), i.e., they form a basis of the solution space for ( S ).

That is, 'f' in "f(t)" does not mean the same as the outermost f in "f(f(t)"; this is supposed to be the basis of the solution to Russell's paradox (3.333).