We show that the set of cluster monomials for the cluster algebra of type D4 contains a basis of the Z-module Z[x1,1, . . . , x3,3]. We also show that the transition matrices relating this cluster basis to the natural and the dual canonical bases are unitriangular and nonnegative. These results support a conjecture of Fomin and Zelevinsky on the equality of the cluster and dual canonical bases....

In this paper, we investigate duality of modular g-Riesz bases and g-Riesz bases in Hilbert C*-modules. First we give some characterization of g-Riesz bases in Hilbert C*modules, by using properties of operator theory. Next, we characterize the duals of a given g-Riesz basis in Hilbert C*-module. In addition, we obtain sufficient and necessary condition for a dual of a g-Riesz basis to be again...

An isolated dual-input power converter for a grid/photovoltaic (PV) hybrid power indoor lighting system is proposed in this paper. The proposed converter can be operated in single power supply mode or hybrid power supply mode. While the available PV power is insufficient for the load demand, the proposed dual-input converter will automatically deliver the complement power from the grid. The pow...

Transl Androl Urol, Vol 3, Suppl 1 September 2014 www.amepc.org/tau © Translational Andrology and Urology. All rights reserved. effective promoter component can help us overcome these limitations. Methods: Here, we transfected the artificially hTERT promoter sequence into cancer cells and kept the specificity of the promoter. Then we used the Dual luciferase reporter gene system to prove the ar...

Low latency asynchronous first-in-first-out (FIFO) in dual-supply systems is presented in this paper. A new asynchronous FIFO cell is proposed and can be used to communicate data items among modules not only at different clock frequencies for globallyasynchronous locally-synchronous (GALS) systems but also in dual-supply systems. The properties of the asynchronous FIFO architecture with periphe...

The configuration of regular 3-forms in dimension 6 is generalized to n-forms in dimension 2n. The algebras of complex, paracomplex, and dual numbers are systematically used. The automorphism groups of all forms are determined. In the last decade there has arisen interest in exterior forms of higher degree, first of all in forms of degree 3 (see [2] and [3]). It is known (see [4] and [1]) that ...

Let (W, S) be a finite Coxeter system and A := Z[0] be the group algebra of a finitely generated free abelian group 0. Let H be an Iwahori-Hecke algebra of (W, S) over A with parameters vs . Further let K be an extension field of the field of fractions of A and KH be the extension of scalars. In this situation Kazhdan and Lusztig have defined their famous basis and the so called left cell modul...

A low-cost short-range K-band Doppler radar sensor for traffic control applications has been developed. The compact sensor, including a waveguide front-end module and a planar patch antenna, weighs only 0.1 lb. The module incorporates a Gunn oscillator, a mixer and a simple coupling/duplex configuration; the antenna is realized on a 0.031” thick Rogers 4003 laminate to allow its stand alone ope...

In this paper we describe a generic receiver as a single channel S-band receiver and it is composed of two modules. The first module (down converter) consists of an input band pass filter, LNA, image rejection filter and down-converter with a PLL local oscillator. The second module consists of the IF module derived from the VHF receiver. The IF module consists of a low pass filter, 20MHz band p...

It is well known that the complex adjacency algebra A of an association scheme has a specific module, namely the standard module, that contains the regular module of A as a submodule. The character afforded by the standard module is called the standard character. In this paper we first define the concept of standard character for C-algebras and we say that a C-algebra has the standard character...