Sentence examples for basis of the solutions from inspiring English sources

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

The flight sequence is determined in ballistic scenario, and a differential evolution method is used with constructing a three-impulse transfer problem, then the local optimization is implemented with low-thrust propulsion on the basis of the solutions of impulsive trajectories.

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

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

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.

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).

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.

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 ).

On the basis of the solution, the distribution of the three velocity components in the vessel were determined and primary and secondary flow rates were calculated.

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).