Sentence examples for basis for functions from inspiring English sources

Exact(5)

These are the spherical analogues of sines and cosines, in that they form a smooth orthonormal basis for functions on the sphere, and are localized in the frequency domain.

The set of functions {ϕ−1,ϕ0,…ϕ1} forms a basis for functions defined over the interval a≤x≤b.

In the latter scheme, diffusion wavelets are based on construction of an orthonormal basis for functions supported on a graph and obtaining a custom-designed basis by analyzing eigenvectors of a diffusion matrix derived from the graph adjacency matrix.

The proposed functions of 5-HT/NPY interaction via the different receptors require a temporal sequence of 5-HT-mediated effects, perhaps caused by desensitization mechanisms or other differential modulation of receptor functions (Snoeren et al. 2011), which might also provide the basis for functions of NPY-producing neurons expressing both 5-HTR subtypes.

This trend of choosing thermodynamic functions for chemical reactions under specific controlled thermodynamic parameters is the basis for functions such as the free energy of Helmholtz and the enthalpy thermodynamic function.

Similar(55)

We compared protein interaction networks across different species to identify evolutionary and functionally conserved subgraphs that are used as basis for function prediction.

Innervation is a fundamental basis for function and survival of tissues.

As ADP did not support dimerization, it was proposed that cycles of ATP-induced dimerization and hydrolysis-triggered dissociation provide the basis for function of all ABC proteins.

2008 Mriganka Sur's laboratory discovers that astrocytes, star-shaped cells in the brain that are as numerous as neurons, form the basis for functioning brain imaging.

Structure is the basis for function, and by manipulating tiny length scales, the resulting nanostructure makes available new capabilities, and thus new technologies and products.

John E. McArdle, a Senate Republican spokesman, said that the overhaul was intended to provide "a more bipartisan basis for functioning" and could extend to other committees, allowing rank-and-file members of both parties to participate more.

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