Sentence examples for model and formulas from inspiring English sources

The separation results prove that the PLE/HSCCC parameters calculated via mathematical model and formulas were accurately and scientifically.

The theoretical model and formulas developed are shown to be effective simulation and design tools for the nonlinear inelastic behavior of circular CFST beam columns under eccentric loading.

The theoretical model and formulas introduced in this paper, as well as those discussed by Pirjola et al. (2007), together with the pertinent computer programs, allow the investigation of the magnetic fields created by any number and configuration of train-substation pairs with any parameter values at any points of observation.

Our numerical calculations not presented in this paper, whose principal objective is to introduce the model and formulas associated with a linearly changing leakage current density and to compare the models of linearly changing and constant leakage currents, show that a two-end feeding significantly reduces the magnetic fields as compared to a one-end feeding.

The tests are carried out using the same noise model and formulas shown above, where now I corresponds to the consensus signal derived from the single histone modifications.

Finally, our statistical model and formula needs to be validated further through practical application.

We illustrate our algorithm through several examples: Emerson and Clarke's mutual-exclusion problem, Clarke et. al.'s microwave-oven example, synchronous counters, and randomly generated models and formulas.

There are literally hundreds of years of accumulated economic wisdom behind this idea with lots of models and formulas, but basically it means that the economy on the whole decides to produce less and sell at higher prices.

Statistical models and formulas are presented in the Appendix.

For more details on each individual method, see the following text and the model descriptions and formulas found in the Additional file 1.

In post-hoc analyses, we evaluated the statistical significance of possible linear trend in the results for social class, education, and FH by using linear contrast in coefficients from stratified covariate-adjusted models and formulae were specific to each variable's number of levels (e.g. 5 for difficulty paying bills).