Air gap membrane distillation (AGMD) experiments were performed with varied temperature and varied module inclination angles to characterize the effect of module angle on permeate production and thermal performance. While AGMD is potentially one of the most energy efficient membrane distillation configurations, transport resistances in the air gap typically dominate the thermal performance, res...

A gauged bi-differential calculus over an associative (and not necessarily commutative) algebra A is an N0-graded left A-module with two covariant derivatives acting on it which, as a consequence of certain (e.g., nonlinear differential) equations, are flat and anticommute. As a consequence, there is an iterative construction of generalized conserved currents. We associate a gauged bi-different...

Let R be a Noetherian local ring and Ω an arbitrary R-module of finite depth and finite projective dimension. The flat dimension of Ω is at least depth(R)−depth(Ω) with equality in the following cases: (i) Ω is finitely generated over some Noetherian local R-algebra S; (ii) dim(R) = 1; (iii) dim(R) = 2 and Ω is separated; (iv) R is CohenMacaulay, dim(R) = 3 and Ω is complete.

We prove the following result on the universal localization of a ring R at an ideal I: If the universal localization is flat as an R-module, then R satisfies the Ore condition with respect to the multiplicative set of elements that become invertible modulo I. It is well known that for domains the converse of this result holds, and hence we have found in this case a new characterization of the O...

We introduce a new concept of complete integrability in the framework of noncommutative geometry. It involves a gauged bi-differential calculus over an associative (and not necessarily commutative) algebra A. Basically, this is an N0-graded left A-module with two covariant exterior derivatives acting on it which, as a consequence of certain (e.g., nonlinear differential) equations, are flat and...

We study the asymptotic behaviour of tame harmonic bundles. First of all, we prove a local freeness of the prolongation by an increasing order. Then we obtain the polarized mixed twistor structure. As one of the applications, we obtain the norm estimate of holomorphic or flat sections by weight filtrations of the monodromies. As other application, we establish the correspondence of tame harmoni...

This paper presents AsdeCopas, an incremental module designed to interface syntax and semantics. In order to be an incremental system, AsdeCopas is based on self-contained, hierarchically organised semantic rules, that output formulas in a flat language. In this paper, we show how this system can be used in the following applications: a) semantic disambiguation; b) logical formulas construction...

ÐWhile hardware-coherent scalable shared-memory multiprocessors are relatively easy to program, they still require substantial programming effort to deliver high performance. Specifically, to minimize remote accesses, data must be carefully laid out in memory for locality and application working sets carefully tuned for caches. It has been claimed that this programming effort is less necessary ...

we state several conditions under which comultiplication and weak comultiplication modulesare cyclic and study strong comultiplication modules and comultiplication rings. in particular,we will show that every faithful weak comultiplication module having a maximal submoduleover a reduced ring with a finite indecomposable decomposition is cyclic. also we show that if m is an strong comultiplicati...

In this paper, we consider flat epimorphisms of commutative rings [Formula: see text] such that, for every ideal which text], the quotient ring is semilocal Krull dimension zero. Under these assumptions, show that projective R-module U does not exceed 1. We also describe Geigle–Lenzing perpendicular subcategory in text]. Assuming additionally and all are perfect, R-modules U-strongly flat. Thus...