Carbon molecular sieve membranes (CMSMs) have been considered as very promising candidates for gas separation, in terms of separation properties as well as thermal and chemical stability. Due to the numerous advantages and wide applications of carbon membranes, their application for gas separation is of special importance. Because of the importance of carbon membranes and a large number of stud...

Reverse osmosis is a commonly used process in water desalination. Due to the scarcity of freshwater resources and wastewater problems, a lot of theory and experimental studies have been conducted to optimize this process. In the present study, the performance of reverse osmosis membrane module of salt–water separation was simulated based on computational fluid dynamics technique and solution-di...

Purpose: Flat feet associates with altered knee kinematics, kinetics, as well as knee pain. Fatigue of plantar intrinsic foot muscles may increase the navicular drop. However, it is unclear how fatigue influences the knee pain in individuals with flat feet. The purpose of this study was to assess the effect of fatigue on knee kinematics and kinetics in flat feet people during walking. Methods:...

Let (R,m, k) be a d-dimensional Noetherian reduced local ring of prime characteristic p such that R1/p e are finite over R for all e ∈ N (i.e. R is F -finite). Consider the sequence { ae qα(R)+d }e=0, in which α(R) = logp[k : kp], q = pe, and ae is the maximal rank of free R-modules appearing as direct summands of R-module R1/q . Denote by s−(R) and s+(R) the liminf and limsup respectively of t...

Let (R, m) and (S, n) be commutative Noetherian local rings, and let φ : R→ S be a flat local homomorphism such that mS = n and the induced map on residue fields R/m→ S/n is an isomorphism. Given a finitely generated R-module M , we show that M has an S-module structure compatible with the given R-module structure if and only if Ext R (S, M) is finitely generated as an R-module for each i ≥ 1. ...

This paper is a sequel of [ER]. Specifically, letW be a Coxeter group, generated by si, i ∈ I. Then, following [ER], one can define a new deformation A+ = A+(W ) of the group algebra Z[W+] of the group W+ of even elements in W . This deformation is an algebra over the ring R = Z[t±1 ijk] = Z[T] of regular functions on a certain torus T of deformation parameters. The main result of [ER] implies ...