d. 1 = -P(.[.I 20) where a, 2 0, Vi and 0 < q+ _ _ _ +a4 5 10. Then, the characteristic polynomial of the above system is given by p(z) = z5 9 + qp.4 + a$z3 + aJ3zz + ai.pZ + a4p. By Corollary 1, it follows that p(z ) is stable if and only if 0 < p < 2sin(d[4.5 2])/10 = 0.03473. Fig. la and b shows the root locus of the above polynomial p(z) , with p = 0.02 in Fig. la and p = 0.04 in Fig. lb. N...

In the Orientiworld framework the Standard Model fields are localized on D3-branes sitting on top of an orientifold 3-plane. The transverse 6dimensional space is a non-compact orbifold (or a more general conifold). The 4-dimensional gravity on D3-branes is reproduced due to the 4-dimensional Einstein-Hilbert term induced at the quantum level. The orientifold 3-plane plays a crucial role, in par...

In this paper we consider normal numbers over Gaussian integers generated by polynomials. This corresponds to results by Nakai and Shiokawa in the case of real numbers. A generalization of normal numbers to Gaussian integers and their canonical number systems, which were characterized by Kátai and Szabó, is given. With help of this we construct normal numbers of the form 0. bf(z1)c bf(z2)c bf(z...

The common grapevine (Vitis vinifera L.) is the main species used for wine making, with South Africa being one of top exporting countries. Grapevine vulnerable to a range pests, includingmites. We present an overview phytophagous and predatory mites on in anddescribe new phytoseiid which was discovered winelands region Wellington, SouthAfrica. shoots leaves were collected over two growing seaso...

The Kummer surface was constructed in 1864. It corresponds to the desingularization of quotient a 4-torus by 16 complex double points. is known play role some models quantum gravity. Following our recent model DNA genetic code based on irreducible characters finite group G5:=(240,105)≅Z5⋊2O (with 2O binary octahedral group), we now find that groups G6:=(288,69)≅Z6⋊2O and G7:=(336,118)≅Z7⋊2O can...

A new species of ectoparasitic mite, Hemipteroseius vikrami n. sp. (Mesostigmata: Otopheidomenidae), collected on Dysdercus koenigii (Fabricius) in New Delhi and D. cingulatus (Fabricius) in Varanasi, India is described. It is distinguished from other species of the genus in having the dorsal shield divided, podonotal shield with nine pairs and opisthonotal shield with four pairs of setae; seta...

This paper is the first of a sequence papers ([Z4]–[Z7]) on the NCS (noncommutative symmetric) systems over differential operator algebras in commutative or noncommutative variables ([Z4]); the NCS systems over the Grossman-Larson Hopf algebras ([GL], [F]) of labeled rooted trees ([Z6]); as well as their connections and applications to the inversion problem ([BCW], [E4]) and specializations of ...