Sentence examples for mathematical formulation in from inspiring English sources

He presented a mathematical formulation in which the values of the electric and magnetic fields at all points in space can be calculated from a knowledge of the sources of the fields.

However, it is difficult to model this condition a priori with a robust mathematical formulation, in particular when high precision of the segmentation results is required.

It operates in the design model step performing a virtual model preprocessing: an anisotropic offset is applied to the surfaces, defined by a mathematical formulation, in order to compensate for the abovementioned dimensional deviations.

Pareto's first work, Cours d'économie politique (1896 97), included his famous but much-criticized law of income distribution, a complicated mathematical formulation in which Pareto attempted to prove that the distribution of incomes and wealth in society is not random and that a consistent pattern appears throughout history, in all parts of the world and in all societies.

We expect these results to be valuable not only for CTC, but also for tomography diagnostics based on other types of signals because the mathematical formulation in this work is not specific to chemiluminescence signals.

In addition, the nonlinear term of the temperature field is included in the generalized mathematical formulation in such way that it can be freely chosen and if desired can be different from the shear strain shape functions of the displacement field.

Economics became more mathematical as a discipline throughout the first half of the 20th century, but introduction of new and generalized techniques in the period around the Second World War, as in game theory, would greatly broaden the use of mathematical formulations in economics.

Several improvements in the mathematical formulation and in the numerical methods and an update of the input values (e.g., the thermal profile and gas abundances) with respect to previous models have been incorporated.

Section "Mathematical formulation" formulates a mathematical model in order to maximize the total profit of the retailer.

These methods were implemented in MATLAB using the mathematical formulation found in Additional File 1: PC-MR post-processing methodology.

Experiments done with different laser pulse-widths confirm the mathematical formulation given in this paper.