Sentence examples for solution with complex from inspiring English sources

A Bessel function solution with complex arguments is directly used to analyze the frequency equations with traction-free boundary conditions.

The method is straightforward and efficient, since it reduces the complicated non-stationary random response problem to a solution with complex number algebraic operations only.

Despite being an effective and a general method to obtain optimal solutions, topology optimization generates solutions with complex geometries, which are neither cost-effective nor practical from a manufacturing (industrial) perspective.

First we give the Klein-Gordon equation with mass parameter that is considered in this paper h^{2}frac{partial^{2}Psi t,x)}{partial t^{2}}-h^{2}c^{2} frac {partial ^{2}Psi t,x)}{partial x^{2}}+c^{4}m^{2}Psi=0. (4) The Klein-Gordon equation with mass parameter m has solutions with complex-valued functions of the time variable t and space variables of x.

The new method is particularly suited for more complex optimization problems ("discontinuous" ones, problems with hard-to-find admissible solutions, problems with complex objectives or many constraints).

On the other hand, adequate solutions or partial solutions to problems with complex RNAPs push the limits and capabilities of dynamics studies.

Rather than being a simple solution, Mosquirix comes with complex caveats and some outstanding questions that the clinical studies were not able to address.

We have used an efficient LGR algorithm to improve the accuracy of numerically estimating the near-wellbore solutions when dealing with complex rheology of polymer or emulsion solutions.

Using these two metrics as the criteria of classification problem, the proposed MOPPSO technique attempts to find out a set of non-dominated solutions with less complex PNN architecture and high classification accuracy.

Integrated care is gaining traction across the country as providers and commissioners seek new solutions for people with complex needs.

The Baltimore Red Line is used as a case study to demonstrate how the model can find very good solutions in regions with complex geography.