Sentence examples for a modified series from inspiring English sources

The values of initial compressive failure strain are found to depend upon the orientation parameter of the molecules in the fibres and agree well with those predicted by a modified series model for fibre yielding.

For the first time, a modified series model is related to the molecular deformation as revealed by Raman spectroscopy, and that the data for these fibres is consistent with a structure with a dominant amorphous fraction.

To understand this, a modified Series model was proposed to calculate the dielectric constant of multi-layered films by considering these issues.

In practice, a modified series must be used.

Even standouts in the modified series like Mr. Bertuccio share the sentiment.

And each of beam displacements, regardless of boundary conditions, is expanded as a modified Fourier series composed of a standard cosine Fourier series and certain supplementary terms introduced to remove the potential discontinuities at the ends, thus ensure and accelerate the convergence of the series representation.

Each of the displacement functions is here invariably expressed as a modified Fourier series, which consists of a standard Fourier cosine series plus several supplementary series/functions used to ensure and improve uniform convergence of the series representation.

Pressure distribution at the interface for arbitrary profile is expressed as a modified cosine series.

Then, each of the displacement components is expanded as a modified Fourier series.

Therefore, a modified Fourier series expansion method, which can be applied to problems with arbitrary boundary conditions, is used to obtain an approximate solution to the present problem.

Here, Airy stress functions are obtained by a modified Fourier series method for webs under non-uniform and different edge loading on each side.