Sentence examples for by using standard mathematical from inspiring English sources

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The robustness and efficiency of the presented method are evaluated by using standard mathematical functions and by solving a practical engineering problem.

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Quantitative assessment of these parameters has been carried out using standard mathematical formulae (Table 1).

In the present work, the issue of entropy generation by radiative transfer in participating media is approached from the view-points of its mathematical modeling and numerical calculation using standard radiative heat transfer techniques, namely the discrete ordinates method.

The mathematical system of equations is numerically implemented using standard methods for spatial discretisation and time advancement.

We conducted 2 sets of experiments using 2 standard mathematical operators, i.e. mean and maximum operators.

These effects have been quantified by using the mathematical model described in the Appendix.

Some investors try to exploit technical discrepancies in the bond market, often by using mathematical models.

We prove (2.10) by using mathematical induction.

We proceed by using mathematical induction.

(6.2). for every by using mathematical induction.

We shall prove (1) by using mathematical induction.

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