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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.
In this work, Hirose considers empirical studies of biological snakes to derive a mathematical approximation of the most common gait pattern among biological snakes, known as lateral undulation.
Considering the aforementioned evidence, we constructed a mathematical approximation of the PSF of IR2 with the point-symmetric term and the axisymmetric terms (in the X- and Y-directions).
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.
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Metamodels are mathematical approximations of simulation models, and have been frequently used to reduce the computational burden associated with running such simulation models.
However, researchers often work with mathematical approximations of the contact networks to simplify analysis.
It is well known that failures of the lattice model are due to mathematical approximations for the effects of non-random mixing in order to gain an analytical solution.
Our assessment systematically defines an analytical solution for the complete interpretation of a generic moire pattern and a set of mathematical approximations for the moire patterns used to measure rotation and displacement.
Another involves mathematical approximations to simplify features of the model (such as the objective function).
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