in this paper we introduce two symmetric variants of amenability, symmetric module amenability and symmetric connes amenability. we determine symmetric module amenability and symmetric connes amenability of some concrete banach algebras. indeed, it is shown that $ell^1(s)$ is  a symmetric $ell^1(e)$-module amenable if and only if $s$ is amenable, where $s$ is an inverse semigroup with subsemigr...

This article is a short explanation of some of the results obtained in my papers “On refined enumerations of totally symmetric self-complementary plane partitions I, II”. We give Pfaffian expressions for some of the conjectures in the paper “Self-complementary totally symmetric plane partitions” (J. Combin. Theory Ser. A 42, 277–292) by Mills, Robbins and Rumsey, using the lattice path method.

Sequences of parameterized Hermite curves following with their endpoints along two guide rails are used to create “transparent” surfaces and tubular sculptures. This parameterized set-up allows modeling a wide variety of shapes in a natural way by just changing a few parameters. Potential applications range from mathematical visualization models to architecture.

Polymer concrete, a composite material in which the binding material is some type of polymer, is being used more widely in the construction industry. Polymer concretes can also contain steel reinforcing rebars; therefore, the rate of adhesion between polymer concrete and reinforcing steel must be determined. Our study investigated the extent and behaviour of adhesion in the case of reinforcing ...

Neocortical precursor cells undergo symmetric and asymmetric divisions while producing large numbers of diverse cortical cell types. In Drosophila, cleavage plane orientation dictates the inheritance of fate-determinants and the symmetry of newborn daughter cells during neuroblast cell divisions. One model for predicting daughter cell fate in the mammalian neocortex is also based on cleavage pl...

In this paper, by the method of moving planes, we prove the symmetry result which says that classical solutions of Monge-Ampere system in the whole plane are symmetric about some point. Our system under consideration comes from the differential geometry problem. Keyword: Moving plane, positive solutions, radial symmetric, MongeAmpere system Mathematics Subject Classification: 35J60, 53C21, 58J05

in this research, a new mathematical modeling on strength changes due to reservoir elastic stresses across the preexisting fault plane is introduced. the method has been applied to the dalpari fault, which is one of the potential seismic sources in the vicinity of the karkheh reservoir. in this method the distribution of total stress across the fault cannot be determined because the initial str...

In 2012, Blecher defined the combinatorial objects known as 1–shell totally symmetric plane partitions of weight n. He also proved that the generating function for f (n), the number of 1–shell totally symmetric plane partitions of weight n, is given by ∑