The linear stability properties of viscous circular flows in a rotating environment are studied with respect to symmetric perturbations. Through the use of an effective energy or Lyapunov functional, we derive sufficient conditions for Lyapunov stability with respect to such perturbations. For circular flows with swirl velocity V (r) we find that Lyapunov stability is determined by the properti...

Hot deformation and softening response for the titanium aluminide Ti–48Al–2V–0.2B has been investigated. The to mechanisms examined. Deformation experiments were carried out in strain rate range 0.01–10 s?1 keeping temperature constant at 1200 °C 1000–1200 1 s?1. With an increase rate, microstructural changes associated with mechanism include breaking of lamellae, spheroidization broken laths d...

Problem 1. Hilbert space and the Riesz representation theorem. If you need help with this, it can be found in lots of places – for instance [1] has a nice treatment. i) A pre-Hilbert space is a vector space V (over C) with a 'positive definite sesquilinear inner product' i.e. a function 1 2 and replace v byˆv = v/v, v 1 2 which hasˆv, ˆ v = 1. Thus we may as well assume v, v = 1. Now using the ...

By means of density functional theory and statistical mechanics, we investigate the geometric and electronic structures, thermodynamic stability and infrared (IR) vibrational frequencies of alkaline earth metal endohedral fullerenes, M@C(76) (M = Ca, Sr, and Ba). The results reveal that M@C(1)(17,459)-C(76) possesses the lowest energy followed by M@C(2v)(19,138)-C(76) with a very small energy d...

Prevention of sexually transmitted infections is a priority in developed and developing countries. One approach to prevention is the use of topical microbicides, and one promising approach is the use of dendrimers, highly branched macromolecules synthesized from a polyfunctional core. Three new dendrimer products developed to provide stable and cost-efficient microbicides were initially evaluat...

Let R = Z4[v]/〈v 2 + 2v〉 = Z4 + vZ4 (v 2 = 2v) and n be an odd positive integer. Then R is a local non-principal ideal ring of 16 elements and there is a Z4-linear Gray map from R onto Z 2 4 which preserves Lee distance and orthogonality. First, a canonical form decomposition and the structure for any negacyclic code over R of length 2n are presented. From this decomposition, a complete classif...

This article presents the results of our research on modeling an HPT SiGe heterojunction phototransistor. Usually this HPTs type work for a single point polarization in work, we were interested same different points polarization. We will model to operate at both 2V and 3V, so that can use multiple bias reduce costs allow reuse SiG phototransistor further studies. For defined optimize operation ...

We provide a uniform vanishing result for the graded components of finite length Koszul module associated to subspace K⊆∧2V as well sharp upper bound its Hilbert function. This purely algebraic statement has interesting applications study number invariants finitely generated groups, such Alexander invariants, Chen ranks, and degree growth virtual nilpotency class. For instance, we explicitly af...

The title compound, C(7)H(13)N(5), a tetrazole analogue of betaines, exists as a zwitterion, with the H atom of the tetrazole ring being transferred to the piperidine ring N atom. The tetrazole ring symmetry is close to C(2v), which suggests strong charge delocalization in the N-C-N fragment of the ring. There are classical hydrogen bonds in the structure which are responsible for the formation...