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RSM is a compilation of statistical and mathematical methods developed for improving the optimization processes.
Therefore, it is interesting to extend mathematical methods developed for nonlinear Schrödinger equations with power nonlinearities (vert uvert ^{p}u) to the study of nonlinear Hartree equations.
But quantum theory ("quantum mechanics" is often regarded as a synonym, although strictly that refers to the mathematical methods developed to study quantum objects) suggests that, at least for tiny objects such as atoms and electrons, there may be no unique state before an observation is made: the object exists simultaneously in several states, called a superposition.
To describe analytically the effect of exponential acceleration, we use mathematical methods developed recently for hard combinatorial problems, in particular, for so-called k-SAT problem, and numerical simulations.
Fortunately, several mathematical methods, developed in the past decades, may facilitate the resolution of this issue.
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We also introduce ProNIFA because it uses a mathematical method developed in psychometric test theory Competency-based Knowledge Space theory Competency-basedding a student model based on observations on students' problem solving performance.
We present an open source software implementation of a popular mathematical method developed by M.R. Yeadon for calculating the body and segment inertia parameters of a human body.
The theoretical yields of C3G, C3L, C3MG, C3ML and QDG were calculated using data obtained from the static batch extraction experiment (section " Static batch extraction experiments") and using a mathematical method developed previously (see Supplementary Material Tables S2 and S3) [ 1].
This chapter aims to present a brief overview of computational, mathematical-modeling-based methods, developed for actually approaching true patient-specificity.
In the 18th century new mathematical methods were developed, largely in France, to treat perturbations more efficiently.
However, in the first half of the twentieth century, various mathematical methods were developed to determine the stress field in two-dimensional space (MacGregor 1933).
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