Sentence examples for be exactly solved by from inspiring English sources

The non-linear Arrhenius equation with respect to temperature can be exactly solved by introducing this non-linear heating function (integrating factor).

In [24, 25], all the one-dimensional reaction diffusion models with nearest neighbor interactions which can be exactly solved by EIM have been found and studied.

In this paper, we further show that the lowest-rank solutions of both the continuous and discrete Lyapunov equations over symmetric cone are unique and can be exactly solved by their convex relaxations, the symmetric cone linear programming problems.

Based on the present solution, the governing equations of the vibrated spherical shell panel were exactly solved by introducing the new auxiliary and potential functions as well as using the separation method of variables.

Based on the present solution, five governing complicated partial differential equations of motion were exactly solved by introducing the auxiliary and potential functions and using the method of separation of variables.

The corresponding time-dependent Schrödinger equation can be exactly solved.

Given Equation 1 for [ T C ], the above differential equation can be exactly solved analytically.

In this case, both problems can be exactly solved in polynomial time, although the time complexity remains high.

A 2D square lattice version was further explored to explain the existence of ferro/paramagnetic transitions and was exactly solved in statistical physics by Onsager in 1944 [ 63].

Using the obtained values of the PIS and the NIS of each objective function, the final MILP model is exactly solved for each numerical instances by the Lingo 9 software.

Such a system is exactly solved using the exponential matrix method which is calculated by means of an expansion with a very fast convergence ratio.