Sentence examples for using an analytic solution from inspiring English sources

Another work was proposed by using an analytic solution to handle the Lyapunov functionals in [18].

We can examine the correspondence between strain gradient and classical elasticity by using an analytic solution.

We have previously proposed a group SWS-based method to derive the tissue's stiffness and viscosity using an analytic solution for the shear wave propagation in a Voigt material which accounts for the source excitation geometry [Rouze et al., IEEE IUS 2016].

However, unlike the traditional calculation approach using an analytic solution and the fractional clearance rate (1, 18), our approach avoids the use of fractional clearance rate, shown here for illustrative purposes, and utilizes model fit to measured concentrations.

As a result, healthcare companies using an analytics solution will either need to find a complaint tool, which presents it's own challenges, or implement workarounds to Google or Adobe Analytics for HIPAA compliance.

The method uses an analytic solution for the somatic ion channel maximal conductances given approximate models of the channel kinetics, membrane dynamics and dendrite.

The observation of approximately flat tool bevels was also used to develop an analytic solution for the tool shape evolution.

Having determined these parameters, knowing that M is a positive integer in most cases, and using (11), one obtains an analytic solution in a closed form.  .

Using this information about fracture properties, an analytic solution describing produced temperature vs. time can be solving iteratively to estimate surface area.

For the impulse response functions of the beam and stop required by the analysis procedure, an analytic solution is used for the beam and a finite element method solution is used for the stop.

We use optimal control theory to derive an analytic solution to the optimal problem and develop a strategy to implement the solution.