Sentence examples for for the mathematical approximation of the from inspiring English sources

The main assumptions for the mathematical approximation of the temperature disturbances due to drilling are: drilling is continuous and regular, there is no fluid loss, and thermal diffusivity equals that of the surrounding rocks.

b Mathematical approximation of the IR2 PSF as described in the text.

The LPC model is based on a mathematical approximation of the vocal tract.

However, researchers often work with mathematical approximations of the contact networks to simplify analysis.

To assess the utility of a mathematical approximation of reality, it is essential to determine the consistency of the model's predictions with real-world benchmarks.

The 'Mathematical approximation' section develops mathematical preparation for optimizing the considered relay network, and 'Optimization of the proposed relay network' section gives a detailed optimization procedure to derive the optimal beamforming and equalization matrices.

Based on the mathematical approximation theory, we suggest that Fourier series be the optimal mathematical basis functions for self-calibration purpose.

A mathematical approximation of a complex biophysical system must account for multiple sources of uncertainty, due to stochastic noise, experimental error, or other possible fluctuations induced by the interaction of the system with its surrounding.

Suppose that a one-step approximation (bar{X}_{t,x}(t+h)) has order of accuracy (p_{1}) for the mathematical expectation of the deviation and order of accuracy (p_{2}) for the mean-square deviation.

For the first approximation of the solution of the non-linear mathematical model, the averaging method, based on the small parameter theory, is used.

Equation (1.3) with (alpha=1) is called a Chaplygin gas, which was introduced by Chaplygin [5] and Tsien [6] as a mathematical approximation for calculating the lifting force on a wing of an airplane in aerodynamics.