Sentence examples for mathematical tool the from inspiring English sources

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.

If the signal is transformed by a mathematical tool, the signal to noise ratio (SNR) should not be greatly reduced after the transformation.

Since, as discussed above, we cannot separate by a mathematical tool the phase variations from the period variations, we consider the WT output as apparent period variations P (t).

This paper shows how these costs are quantified and integrated; it also shows how a particular mathematical tool, the Lambert W function, is incorporated into this choice optimization problem by deriving a closed-form solution.

Here we discuss a standard mathematical tool, the circle map, used to study the response of a nonlinear oscillator subjected to periodic forcing.

Using analytical mathematical tools, the model is shown to be mathematically and physically well-posed.

Lacking mathematical tools, the analysis of cause and effect became a source of unending paradoxes and lingering embarrassments.

Among diverse distribution functions in phase spaces, the WDF is the most significant mathematical tool in the realm of not only (quantum) optics but also other dynamical systems.

This paper describes a mathematical tool for the calculation of the ultimate strength of reinforced concrete rectangular columns subjected to combined internal forces including shear.

An EKF observer has proven to be an excellent mathematical tool for the fault indicator in the variable speed drive.