Sentence examples for transforms and the from inspiring English sources

These transformations are stable (using essentially orthogonal transforms) and the required computational work depends on only (most interesting ) but not on, so that the overall combined (with [4]) algorithm remains superfast (i.e., O numerical operations) and stable.

Many useful transforms for solving various problems appeared in open literature such as wave transformation, the Laplace transform, the Fourier transform, the Bücklund transformation, the integral transform, the local fractional integral transforms and the fractional complex transform (see [29, 30]).

He devoted his early research to the theory of Fourier integrals and series and added new findings to the study of Fourier transforms and the theory of conjugate functions, all of which formed a major part of his Introduction to the Theory of Fourier Integrals (1937).

The Riesz transforms and the fractional integrals associated with L have been studied extensively.

The method of solution involves the use of integral transforms and the propagator matrix method.

In the paper we present a new family of biorthogonal wavelet transforms and the related library of biorthogonal symmetric waveforms.

The proposed scheme extracts features aided by the discrete cosine transform and the Karhunen-Loeve transformation.

The country would be transformed and the opportunities for our kids immeasurably improved.

The world has been transformed and the old ways of doing things will no longer work.

The idiom is transformed, and the rhythms are fractured, and whole stretches of music are entwined with knotty, wayward counterpoint.

For thirty years, China's economy has been growing and transforming, and the foreign press corps has grown and transformed with it.