Sentence examples for derived mathematically from inspiring English sources

The process is derived mathematically and evaluated.

It is often described as a cylindrical projection, but it must be derived mathematically.

All the results are derived mathematically and justified as much as possible by extensive test data.

But the ideal gas law can also be derived mathematically, from first principles, by imagining particles bouncing around a box.

In addition, the complete parameters for three global form deviations have been derived mathematically.

Those five elements are derived mathematically and are proven sufficient for technical English through enumeration.

Although the particular model developed here is better suited for ferritic steels, it is explained in the paper that the methodology used to obtain this model can be adequately adapted to derive mathematically consistent models for other classes of metallic materials.

Although extremely computationally intensive, this remains the best method of approximating probability distributions that are difficult to derive mathematically.

Here, we first derive mathematically a linear model for this relationship under very simplistic conditions (to be outlined), and this model is subsequently generalized to encompass a large and more realistic range of relationships.

In this scenario, a system of nonlinear partial differential equations can be derived to mathematically describe nonlinear phenomena such as acoustoelasticity (wave speed dependency on quasi-static stress), wave interaction, wave distortion, and higher-harmonic generation.

We derived a Mathematically Inferred Model (MIM) for the gene network regulating cell fate decisions in the C. elegans C cell lineage using wild-type gene expression time-course data from [ 13].