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By using Fourier techniques we can estimate the range of Sobolev exponents for which the wavelet basis forms a Riesz basis without explicitly using the dual functions.
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The two resulting time-frequency distributions (TFDs) are then multiplied on a point-by-point basis, forming a TFD with high resolutions in both domains.
The starting point of the procedure is a choice of a basis formed by a limited number of ϕ x and therefore a relatively high value of Δx.
If {φ n } is a basis formed by the orthonormal eigenvectors of B, then.
Regional statistical data and land use data on a raster basis form the main database for the model framework.
"The coming days will show if there is basis for forming a foundation which can govern," Rasmussen said late on Thursday night.
At that point I began reading and researching on a daily basis and formed an opinion and a story".
But not every trait forms a basis for community; not every difference needs to go uncorrected.
Therefore, this work forms a basis in this aspect. .
Their classification forms a basis for this research.
This forms a basis for monitoring friction units.
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