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Using analytical mathematical tools, the model is shown to be mathematically and physically well-posed.
The switched structure of the system is taken into account and by using some mathematical tools, the predictive controller design problem is turned into a Linear Matrix Inequalities (LMIs) feasibility problem.
Lacking mathematical tools, the analysis of cause and effect became a source of unending paradoxes and lingering embarrassments.
(9) Through some mathematical tools, the semi-log relationship between historical production (Q) and T 1/T 2 can be drawn into a three-dimensional space, by selecting data segments with better plane relations and conducting binary regressions thereto, the values for a, b, and c can then be determined.
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If the signal is transformed by a mathematical tool, the signal to noise ratio (SNR) should not be greatly reduced after the transformation.
A well-known mathematical tool, the HT has been used in this study.
In [10], an analytical mathematical tool, the homotopy analysis method, is used to solve the time-fractional telegraph equation.
Here we discuss a standard mathematical tool, the circle map, used to study the response of a nonlinear oscillator subjected to periodic forcing.
The mathematical tools describing the concentration gradient and the microbial responses (i.e. key changes in metabolic rates) are presented.
The economists sometimes argue that geography came to a halt way back because the mathematical tools of the day were not up to the job.
Jay Wacker, a particle physicist at the SLAC National Accelerator Laboratory, said he wasn't confident about the mathematical techniques used, and that it seemed in both cases the scientists weren't applying the mathematical tools in the way that most would.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com