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ISSN : 1226-0657
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Vol.12 No.4
Abstract
In this paper, a new wavelet analysis of differential operator spline is generated, and it is of the symmetry and (3 -<TEX>$\epsilon$</TEX> )-order regula.ity (0 < <TEX>$\epsilon$</TEX> < 3). Finally, using this wavelet basis, we expand Lebesgue square integrable functions efficiently and quickly.
Abstract
An additive regular Semiring S is left inversive if the Set E+ (S) of all additive idempotents is left regular. The set LC(S) of all left inversive semiring congruences on an additive regular semiring S is a lattice. The relations <TEX>$\theta$</TEX> and k (resp.), induced by tr. and ker (resp.), are congruences on LC(S) and each <TEX>$\theta$</TEX>-class p<TEX>$\theta$</TEX> (resp. each k-class pk) is a complete modular sublattice with <TEX>$p_{min}$</TEX> and <TEX>$p_{max}$</TEX> (resp. With <TEX>$p^{min}$</TEX> and <TEX>$p^{max}$</TEX>), as the least and greatest elements. <TEX>$p_{min},\;p_{max},\;p^{min}$</TEX> and <TEX>$p^{max}$</TEX>, in particular <TEX>${\epsilon}_{max}$</TEX>, the maximum additive idempotent separating congruence has been characterized explicitly. A semiring is quasi-inversive if and only if it is a subdirect product of a left inversive and a right inversive semiring.
Abstract
Geometric invariants are basic tools for geometric processing and computer vision. In this paper, we give a linear approximation for the differentiation of the binormal vector field of a space curve by using the forward and backward differences of discrete binormal vectors. Two kind of discrete torsion, say, back-ward torsion <TEX>$T_b$</TEX> and forward torsion <TEX>$T_f$</TEX> can be defined by the dot product of the (backward and forward) discrete differentiation of binormal vectors that are linear approximations of torsion. Using Frenet formula and Taylor series expansion, we give error estimations for the discrete torsions. We also give numerical tests for a curve. Notably the average of <TEX>$T_b$</TEX> and <TEX>$T_f$</TEX> looks more stable in errors.
Abstract
The aim of this paper is to prove some common fixed point theorems for six discontinuous mappings in non complete fussy metric spaces with condition of weak compatibility.
Abstract
There exist many measures of fuzzy directed divergence corresponding to the existing probabilistic measures. Some new measures of fuzzy divergence have been proposed which correspond to some well-known existing probabilistic measures. The essential properties of the proposed measures have been developed which contains many existing measures of fuzzy directed divergence.