refine

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Synonyms for refine

Synonyms for refine

to make or become clear by the removal of impurities

to bring to perfection or completion

Synonyms for refine

make more complex, intricate, or richer

treat or prepare so as to put in a usable condition

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reduce to a fine, unmixed, or pure state

attenuate or reduce in vigor, strength, or validity by polishing or purifying

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make more precise or increase the discriminatory powers of

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References in periodicals archive ?
For p = 2, we have a grid on the circle, for p = 1, a grid on the diamond(rhombus) and for p = 2/3, a uniform and refinable grid on the astroid.
In the following, we will give a compactly supported real-valued refinable function [phi] : R [right arrow] R with finite mask and real mask coefficients; that is, [phi] satisfies a two-scale relation:
Mo, "Multiwavelet frames from refinable function vectors," Advances in Computational Mathematics, vol.
This polynomial approach reflects convolutions of refinable functions and has been extensively studied in the univariate setting, cf.
Then there exists a framelet system X ([[PSI].sup.d.sub.0.]) associated with a refinable function [[phi].sup.d] [member of] [R.sup.[beta]] and corresponding [[tau].sup.d] so that the pair (X ([[PSI].sub.0]), X ([[PSI].sup.d.sub.0])) is a bi-framelet.
In this paper, we will construct pairs of biorthogonal symmetric multiwavelets with high balanced orders from any orthogonal refinable function vector, which simultaneously has symmetric and antisymmetric components.
Let the function [phi]: [R.sup.d] [right arrow] R be bounded, compactly supported, and refinable, so that there is a sequence [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII] of real numbers for which [phi] = [summation over (k[member of][Z.sup.d])][h.sub.k][phi](2 x -k).
[17] Wayne Lawton, Infinite convolution products and refinable distributions on Lie groups, Trans.
PENA, Local decomposition of refinable spaces, Appl.
Coking units increase the amount of refinable material obtained from a barrel of oil and convert residual crude into petroleum coke, which can be used as coal substitute.
A continuous refinable function [psi] is interpolatory if
The flexicoker increases the amount of refinable material from a barrel of crude oil and converts residual crude oil to petroleum coke, a coal substitute.
A coking unit increases the amount of refinable material obtained from a barrel of oil and converts gunky residual crude into petroleum coke, a coal substitute.