Sentence examples for mathematical forms are from inspiring English sources

The Hungarian mathematician Csiszar, winner of Shannon prize, had also proved that for a group of information which is not contradictory, there exist unique entropy maximization models and their mathematical forms are exponential functions.

If we regard the initial allocation of emission permits as an uncertain problem, according to entropy maximization theorem, its probability distribution is the one which has maximum entropy and the mathematical forms are exponential functions.

In the first phase, the material balance equation in its various mathematical forms is designed to provide with estimates of the initial oil in place N, size of the gas cap m, and water influx We.

Its conceptual schema and mathematical form are shown as follows: Open image in new window Figure 4 A triangular fuzzy number N ˜.

This mathematical form is then used by subsequent steps (eg a classifier) to produce an outcome (eg the image category or the transcript of the acoustic signal).

As in the classical theory of plates (non-porous), the solutions are approximate and their mathematical form is chosen.

The response of the wave properties of a particle to an external force follows a basic law of quantum mechanics that, in its mathematical form, is known as the Schrödinger equation.

This constitutive model due to high performance in constitutive modeling and simplicity of its mathematical form is applied to pressurized thick-walled cylinders in order to find a closed-form analytical solution for their analysis.

A mathematical form is found for relating one parameter, such as time, to another.

Rice (1995) analyses this process and argues that the mathematical form is uniquely determined by its memoryless property.

The models are parametric with parameters explicitly determined by the underlying physical mechanisms and are canonical, i.e., their mathematical form is independent of the physical environment.