Sentence examples for solution formulas for the from inspiring English sources

The differential equations for I, P and D posses explicit solution formulas for the chosen control space.

Analytical solution formulas for the variables in equation (11) are obtained by solving the equation for Mb given x t) and R t), then solving the equation for Ms given Mb t) and, finally, using Ms(t) to solve the equation for Mg(t).

The aim of this subsection is to derive the solution formula for the problem (1.1), (1.2).

The aim of this section is to derive the solution formula for the problem (1.1), (1.2).

Firstly, we derive the solution formula for the problem (1.1), (1.2).

In the semiclassical limit, the method of nonlinear steepest descent ([4,5]), supplemented by the g-function mechanism, is applied to this RHP to produce explicit asymptotic solution formulae for the integrable system.

The computational effort can be even reduced by a factor of two when the analytical solution formulas for D, I, P are used for the calculation for G.

The closed form solution formulas for determining crater depth, radius and ejected mass being functions of impactor mass, speed and material of both impactor and target is provided.

Therefore, there is a lot of work to be done in these directions, and it should be interesting yet difficult to construct more solution formulas for system (2).

The infant formula products include formulas for routine feeding, solutions formulas for mild intolerance and specialty formula products, including formulas for severe intolerance, formulas for premature and low birth weight infants and medical nutrition products.

The existence and uniqueness of solutions and a representation of solution formulas are studied for the following initial value problem:,  ,  ,,.