In the paper, we present a family of multivariate compactly supported scaling functions, which we call as elliptic scaling functions. The elliptic scaling functions are the convolution of elliptic splines, which correspond to homogeneous elliptic differential operators, with distributions. The elliptic scaling functions satisfy refinement relations with real isotropic dilation matrices. The ell...

We introduce a new class of strongly degenerate nonlinear parabolic PDEs ( p − 2 ) Δ ∞ , X N + u Y t m ⋅ ∇ ∂ = 0 ∈ R × 1 combining the classical PDE Kolmogorov and normalized -Laplace operator. characterize solutions in terms an asymptotic mean value property results are connected to analysis certain tug-of-war games with noise. The functions for introduced approximate stated when parameter tha...

A dilation equation is a functional equation of the form f(t) = ∑N k=0 ck f(2t − k), and any nonzero solution of such an equation is called a scaling function. Dilation equations play an important role in several fields, including interpolating subdivision schemes and wavelet theory. This paper obtains sharp bounds for the Hölder exponent of continuity of any continuous, compactly supported sca...

in sheep industry, pregnancy rate after artificial insemination (ai) declines due to the complex anatomy of the cervix in ewes, such that it might prevent effective intrauterine insemination. at estrus, cervical relaxation occurs to some degree in ewes, which is regulated by the changes in the levels of reproductive hormones. this study aimed to evaluate the effects of estradiol and intravenous...

geometrical profile (roughness) of joint surfaces influences the behaviour of rock joints under shear loading. with regard to the dilation, there are two models of direct shear test that may simulate the original loading condition existing in the location from where the specimens have been sampled. the first model in which the normal load is constant (cnl) and the discontinuity is free to dilat...

background: achalasia is the most recognized esophageal motor disorder with an unknown etiology. symptoms rather than physical findings are hallmarks of the disease. modalilies for treatment include pharmacologic, botulinum toxin injection, pneumatic dilation and surgery. materials and methods: to review the diagnostic and therapeutic options currently available for achalasia. a medline search ...

in this paper, we dene and study two operators s and s with grill.characterization and basic properties of these operators are obtained. also,we generalize a grill topological spaces via topology  s induced from operatorss and s.

in this paper we study properties of symbols such that these belong to class of symbols sitting insidesm ρ,φ that we shall introduce as the following. so for because hypoelliptic pseudodifferential operatorsplays a key role in quantum mechanics we will investigate some properties of m−hypoelliptic pseudodifferential operators for which define base on this class of symbols. also we consider maxi...

In this paper, we first discuss about canonical dual of g<span style="font-family: NimbusRomNo9L-Regu; font-size: 11pt; color: #000000; font...

this paper presents characterizations of m-fuzzifying matroids bymeans of two kinds of fuzzy operators, called m-fuzzifying derived operatorsand m-fuzzifying difference derived operators.