Sentence examples for are expanded in a from inspiring English sources

Displacement fields are expanded in a mixed double series based on harmonic functions and Chebyshev polynomials.

The mode shapes are expanded in a Fourier Bessel series by using the Rayleigh Ritz method.

In all these algorithms, multivariate polynomials are expanded in a monomial basis, and the computations mainly reduce to linear algebra.

To solve the dual integral equations, the jumps of the displacement across the crack surfaces are expanded in a series.

To solve the dual integral equations, the jumps of the displacements across the crack surfaces are expanded in a series of Jacobi polynomials.

Numerical examples are provided To solvethe effects of material properties on the stress anduale electrintegralacequationsensithefactors.

Many gene families are expanded in A. oryzae relative to A. nidulans and A. fumigatus, but we find no evidence of ancient whole-genome duplication or other segmental duplications, either in A. oryzae or in the common ancestor of the genus Aspergillus.

However, it remains to be explained why only certain clones are expanded in an inflammatory site.

Isis are expanding in a fearful way.

Over time, as the parish around it grew, St. Johann was expanded in a Gothic style.

The unknown quantity is expanded in a complete sequence of Chebyshev polynomials.