In this paper, we study the $$L^{p}$$ boundedness and $$L^{p}(w)$$ ( $$1<p<\infty $$ w a Muckenhoupt $$A_{p}$$ weight) of fractional maximal singular integral operators $$T_{\Omega ,\alpha }^{\#}$$ with homogeneous convolution kernel $$\Omega (x)$$ on an arbitrary group $${\mathbb {H}}$$ dimension {Q}}$$ . We show that if $$0<\alpha <{\mathbb , \in L^{1}(\Sigma )$$ satisfies cancellation condit...

in this article a comparative study for modeling and optimization of 2-methylpropane-2-thiol removal from contaminated soil by ultrasound is investigated. central composite design (ccd) and artificial neural network (ann) were utilized and compared to each other in order to obtain appropriate predicting model with respect to sonication power (w), sonication time (min) and water/reactor volume r...

earthquakes could have catastrophic impacts on tunnels and buried structures. liquefaction phenomenon is one of the most destructive effects of earthquakes. liquefaction results in decreasing effective stress and this consequently leads to decreases in shear strength of the soil. as a result, large deformation in both soil and buried structure occurs. moreover, liquefaction causes soil boiling,...

let $g$ be a simple graph‎, ‎and $g^{sigma}$‎ ‎be an oriented graph of $g$ with the orientation ‎$sigma$ and skew-adjacency matrix $s(g^{sigma})$‎. ‎the $k-$th skew spectral‎ ‎moment of $g^{sigma}$‎, ‎denoted by‎ ‎$t_k(g^{sigma})$‎, ‎is defined as $sum_{i=1}^{n}( ‎‎‎lambda_{i})^{k}$‎, ‎where $lambda_{1}‎, ‎lambda_{2},cdots‎, ‎lambda_{n}$ are the eigenvalues of $g^{sigma}$‎. ‎suppose‎ ‎$g^{sigma...

Some of the so called smallness conditions in algebra as well as in category theory, are important and interesting for their own and also tightly related to injectivity, are essential boundedness, cogenerating set, and residual smallness. In this overview paper, we first try to refresh these smallness condition by giving the detailed proofs of the results mainly by Bernhard Banaschewski and W...

the aim followed in tillage operations is the preparation of a suitable seedbed. the clod mean weight diameter (mwd) is one of the important tillage quality factors. in this study six sigma methodology was employed to improve the mwd index on the experimental farm of the university of tehran. six sigma is considered as one of the new improving process methods that has gained wide applications i...