This paper is an investigation of $L$-dual frames with respect to a function-valued inner product, the so called $L$-bracket product on $L^{2}(G)$, where G is a locally compact abelian group with a uniform lattice $L$. We show that several well known theorems for dual frames and dual Riesz bases in a Hilbert space remain valid for $L$-dual frames and $L$-dual Riesz bases in $L^{2}(G)$.

We introduce the notions of T-dual Rickart and strongly T-dual Rickart modules. We provide several characterizations and investigate properties of each of these concepts. It is shown that every free (resp. finitely generated free) $R$-module is T-dual Rickart if and only if $overline{Z}^2(R)$ is a  direct summand of $R$ and End$(overline{Z}^2(R))$ is a semisimple (resp. regular) ring. It is sho...

background: this study set out to evaluate the utility of cerebrovascular virtual non-contrast (vnc) scans. materials and methods: conventional non-contrast (cnc) and dual-energy computed tomography angiography (de-cta) head scans were conducted on 100 subjects, of which 46 were normal, 15 had parenchymal hematomas of the brain, 13 had ischemic infarction, 22 had tumors, and 4 had calcified les...

In this paper, we firstly show that the $N$-dual operation of the right residual implication, which is induced by a left-conjunctive right arbitrary $vee$-distributive left semi-uninorm, is the right residual coimplication induced by its $N$-dual operation. As a dual result, the $N$-dual operation of the right residual coimplication, which is induced by a left-disjunctive right arbitrary $wedge...

in this study, silver nanoparticles were synthesized by chemical reduction method at different concentrations of ag colloid in the range of 500-16000 ppm. nanoparticles were deposited by spin coating method on pre-etched glass and si substrates. structural, optical and electrical properties of the samples were studied using scanning electron microscopy equipped with edax, uv-vis spectrophotomet...

This work presents the design of a compact dual-port circularly polarized antenna based on new coupler topology. The can radiate right-hand circular polarization (RHCP) in two opposite directions depending input port. In proposed structure, radiating system has three inverted F antennas connected to 120∘ hybrid coupler. modeling and 5-ports are described experimentally validated. prototype is f...

Lignocellulosic residues are interesting sources of renewable energy, if only their biomass recalcitrance could be reduced through appropriate pretreatment technologies and augmentations, to enhance anaerobic digestion. This study aimed at assessing the effects bacterial, fungal alkaline on biogas composition selected plant-based substrates, namely: maize cob , rice straw water hyacinth. Standa...

abstract soilless culture of greenhouse vegetables has been a fast developing section in iran during recent years. most growers use hydroponics systems with artificial substrates. some of the used substrates have low water retention which results in wasting a great deal of solution. on the other hand, low vigor of cucumber root in water and fertilizer absorption, especially in low media tempera...

the aim of this study was to compare the effects of three types of balancetraining: single task, dual task under fixed priority instructional set (fp) and dualtask under a variable priority instructional set (vp) on the balance of the elderly.the participants were 36 elderly over 65 years old from kerman province whowere randomly divided into three groups (each 12 subjects) based on burg pretes...