Having knowledge of stability of an underground space depends on stresses and strains around it. Creating underground tunnels leads to significant changes in the rock mass stress. Therefore, to achieve the necessary stability, stresses and deformations around the tunnel must be examined carefully. Usually, stress-strain behavior analysis is conducted in two-dimensional mode. This paper was cond...

A general notion of operad is given, which includes: (1) the operads that arose in algebraic topology in the 1970’s to characterise loop spaces. (2) the higher operads of Michael Batanin [Bat98]. (3) braided and symmetric analogues of Batanin’s operads which are likely to be important in the study of weakly symmetric higher dimensional monoidal categories. The framework of this paper, links tog...

in this research ideal magnetohydrodynamics equations (mhd) has been solved in a channel of quasi one dimensional plasma flow. magnetohydrodynamics equations, including continuity, momentum, energy and induced magnetic field equations are with the respect of the gauss magnetic condition. the implemented numerical solution is based on harten, lax, vanleer (hlld) discontinuities solution methods....

‎We introduce a higher dimensional Atkin-Lehner theory for‎ ‎Siegel-Parahoric congruence subgroups of $GSp(2g)$‎. ‎Old‎ ‎Siegel forms are induced by geometric correspondences on Siegel‎ ‎moduli spaces which commute with almost all local Hecke algebras‎. ‎We also introduce an algorithm to get equations for moduli spaces of‎ ‎Siegel-Parahoric level structures‎, ‎once we have equations for prime l...