Sentence examples for transform extending from inspiring English sources

We then apply our results to the coherent state transform, extending and simplifying some previously known results.

We provide applications to multilinear convolution inequalities and the restriction theory for the Fourier transform, extending to higher dimensions recent work of Bejenaru–Herr–Tataru and Bennett Carbery Wright.

The usage of wavelet transform extends to its collaboration with soft computing techniques for fault analysis, as reported in [6, 7].

Such a multi-scale transform extends the approach in [154] and removes the dependence on building a distributed mesh within the network.

Her ability to transform herself extends even to her physique: when she's Tara, her head seems delicate, wedge-shaped; when she's Buck, it's a blocky oblong.

But spare a thought for the many resources whose task-related bursts of activity take place elsewhere, not just in the physical motions of our hands and arms while reasoning, or in the muscles of the dancer or the sports star, but even outside the biological body -- in the iPhones, BlackBerrys, laptops and organizers that transform and extend the reach of our processing in so many ways.

Further the aforesaid transform was extended to generalized form in [55].

In [8], the Sumudu transform was extended to the distributions and some of their properties were also studied.

The Hartley-Hilbert transform is extended to the context of Boehmians in Section 3, where some properties are also described.

For example, in [5], the Sumudu transform was extended to distributions (generalized functions) and some of their properties were also studied in [6, 7].

The transform H W extends uniquely to an isomorphism from L A k 2 ( R d ) W onto L ν k 2 ( R d ) W.  .