Sentence examples for solution is valid for from inspiring English sources

where the proposed solution is valid for β∈ [ 0,2].

The following argument shows that this solution is valid for 91≤r≤95.

end{cases} In this case, the solution is valid for all (xinmathbb{R}).

This solution is valid for the equivalent heat transfer problem also.

The solution is valid for very small to very high eccentricity and inclination orbits.

Moreover, the (global) solution is valid for all the flight envelope, since it is based on a general nonlinear model.

These solutions are valid for both real and complex values of the invariants.

The cylindrical solutions are valid for an arbitrary geometry, but previous methods for computing the necessary coefficients were cumbersome.

The solutions are valid for any mode of input perturbation with non-negative and constant initial conditions.

What is new is that these solutions are valid for all values of the equation parameter q, no matter how large.

Moreover, we show that the obtained approximate solutions are valid for the whole solution domain and the approximations are uniformly valid not only for small parameters, but also for very large parameters.