Sentence examples for mathematical forms that from inspiring English sources

It is shown that measured power spectral densities (spectra) that closely resemble power-law spectra may, in fact, have mathematical forms that are not power laws in the mathematical sense.

Electrical theory has developed a large library of mathematical forms that produce useful filter frequency responses and the mechanical filter designer is able to make direct use of these.

The procedure is presented in the comprehensive mathematical form that could be straightforwardly programmed into a computer code.

Schrödinger expressed Broglie's hypothesis concerning the wave behaviour of matter in a mathematical form that is adaptable to a variety of physical problems without additional arbitrary assumptions.

The model, referred to as the geometric scaling (GS) model, is a mathematical form that allows us to investigate the effect of possible system modifications on risk.

In this paper, we present a random-coefficient mathematical form that can be used to simulate a third-order Laplace autoregressive (AR) process.

In the 'Putting everything together' section, we write the network equations in the various cases considered in the previous section and express them in a general abstract mathematical form that is the one used for stating and proving the results about the mean-field limits in the 'Mean-field equations for conductance-based models' section.

This approach to admixture dating is similar in spirit to strategies based on local ancestry, but LD statistics have the advantage of a simple mathematical form that facilitates error analysis.

The Hill equation is properly viewed as just a convenient mathematical form that expresses a particular pattern of sensitivity, measurement, and the informational properties of the input-output pattern.

In other words, the spinning decks look like they have suddenly developed a penchant for doodling beautiful mathematical shapes and forms that are reminiscent of sonic sinusoidal waveforms.

One key to industrial research is the ability to translate a real-life problem into a mathematical one and then to translate the mathematical solution back into forms that can be applied to the real world.