Sentence examples for solution formula for from inspiring English sources

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).

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

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

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.

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.

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).

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 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 following lemma (see [5, Lemma ]) is extensively used in the sequel; it gives a solution representation formula for (2.1) in terms of the fundamental solution.

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