Results 201 to 210 of about 363 (235)

Multiwavelet Frames from Refinable Function Vectors

Advances in Computational Mathematics, 2003
A \(d\)-refinable function vector \(\phi = (\phi_1, \ldots, \phi_r)^T\) satisfies the refinement equation \[ \phi = | d| \sum_{k \in {\mathbb Z}} a_k \phi(d\cdot - k), \] where \(r\) is the multiplicity, \(d\) the dilation factor, and \(a\) is the finitely supported sequence of \(r\times r\) matrices.
Han, Bin, Mo, Qun
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Affine similarity of refinable functions

Approximation Theory and its Applications, 1999
Let \(M \geq 2\) be an integer, and let \(\varphi\) be a compactly supported function on \(R\) with total mass 1 and which satisfies the refinement equation \[ \varphi(x) = \sum_{j=0}^N c_j \varphi(Mx - j) \] for some coefficients \(c_j\). For each \(0 \leq l < M\), assume that the matrices with entries \(c_{Mi-j+l}\) for \(0 \leq i,j < N/(M-1)\) are ...
Huang, Daren, Sun, Qiyu
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Refinable functions and positive operators

Applied Numerical Mathematics, 2004
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
GORI, Laura, PITOLLI, Francesca
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REFINED INSTANTON COUNTING AND MACDONALD FUNCTIONS

International Journal of Modern Physics A, 2008
We argue that the Nekrasov's partition function with two equivariant parameters is reproduced by the method of topological vertex, if we introduce a refined version of the vertex. Our refined topological vertex is expressed in terms the specialization of the Macdonald functions which is related to the equivariant character of the Hilbert scheme of ℂ2 ...
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Multivariate symmetric refinable functions and function vectors

International Journal of Wavelets, Multiresolution and Information Processing, 2016
For any symmetry group [Formula: see text], any appropriate matrix dilation (compatible with [Formula: see text]) and any appropriate symmetry center [Formula: see text] we give an explicit method for the construction of [Formula: see text]-symmetric with respect to the center [Formula: see text] refinable masks which have sum rule of an arbitrary ...
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Refinable Multivariate Spline Functions

2006
Abstract We review recent developments concerning refinable, multivariate piecewise polynomials with compact support. We first consider uniform meshes, box splines, box spline wavelets and a generalisation of box splines called multi-box splines.
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Sexual Function Questionnaire: Further Refinement and Validation

The Journal of Sexual Medicine, 2012
The Sexual Function Questionnaire (SFQ) is a self-report outcome measure of female sexual function. It has recently been refined to create a 28-item version (SFQ28) including the addition of a new arousal-cognitive domain.This study aimed to validate the SFQ28 in female sexual arousal disorder (FSAD) and hypoactive sexual desire disorder (HSDD ...
Tara, Symonds, Lucy, Abraham, Andrew G, Bushmakin, Kate, Williams, Mona, Martin, Joseph C, Cappelleri   +5 more
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Analysis of Refinable Vector Functions

2017
As we discussed in Chap. 4, framelets and wavelets are often derived from a refinable vector function \(\phi = (\phi _{1},\ldots,\phi _{r})^{\mathsf{T}}\) satisfying the following refinement equation.
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Functions and Procedures in Refinement

1997
The rules for introducing procedures and procedure calls will be illustrated using some familiar examples.
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The expanding regulatory mechanisms and cellular functions of circular RNAs

Nature Reviews Molecular Cell Biology, 2020
Ling-Ling Chen
exaly