Articles you may be interested in Comment on " Effective thermal conductivity in thermoelectric materials " [J. Response to " Comment on 'Optimization of power and efficiency of thermoelectric devices with asymmetric thermal contacts' " [J. Erratum: " High efficiency semimetal/semiconductor nanocomposite thermoelectric materials " [J. Response to " Comment on 'A new approach to optimum design i...

For a finite commutative ring R, let a,b,c∈R be fixed elements. Consider the equation ax+by=cz where x, y, and z are idempotents, units, any element in respectively. We say that R satisfies r-monochromatic clean condition if, for r-colouring χ of elements there exist x,y,z∈R with χ(x)=χ(y)=χ(z) such holds. define m(a,b,c)(R) to least positive integer r does not satisfy condition. This means exi...

Abstract Consider a Lamperti–Kiu Markov additive process $(J, \xi)$ on $\{+, -\}\times\mathbb R\cup \{-\infty\}$ , where J is the modulating chain component. First we study finiteness of exponential functional and then consider its moments tail asymptotics under Cramér’s condition. In strong subexponential case determine tails some further assumptions.

In this paper we introduce the notion of J-fusion frame for a Krein space K. We prove some basic results regarding J-fusion frame. We also approximate J-fusion frame bounds of a J-fusion frame by the upper and lower bounds of the synthesis operator. Finally we provide a necessary and sufficient condition under which the image of J-fusion frame under a bounded invertible linear map is also a J-f...

For an ideal I with a positive dimensional real variety VR(I), based on moment relaxations, we study how to compute a Pommaret basis which is simultaneously a Gröbner basis of an ideal J generated by the kernel of a truncated moment matrix and satisfying I ⊆ J ⊆ I(VR(I)), VR(I) = VC(J) ∩ R. We provide a certificate consisting of a condition on coranks of moment matrices for terminating the algo...

The present article applies the method of Geometric Analysis to the study H-type groups satisfying the J condition and finishes the series of works describing the Heisenberg group and the quaternion H-type group. The latter class of H-type groups satisfying the J condition is related to the octonions. The relations between the group structure and the boundary of the corresponding Siegel upper h...