In this paper, the convergence of Zakharov-Kuznetsov (ZK) equation by homotopy analysis method (HAM) is investigated. A theorem is proved to guarantee the convergence of HAM and to nd the series solution of this equation via a reliable algorithm.

ρf,` : Gal(k̄/k)→ Aut(Jf [`](k̄)) ' GL2g(F`) on the `-torsion points of Jf is as big as possible for almost all primes `, if the following two (sufficient) conditions hold: (1) the endomorphism ring of Jf is Z; (2) for some prime ideal p ⊂ Zk, the fiber over p of the Néron model of Cf is a smooth curve except for a single ordinary double point. These conditions can be translated concretely in ter...

We prove that the integral cohomology algebra of the moment-angle complex ZK [1] is isomorphic to the Tor-algebra of the face ring of simplicial complex K. The proof relies upon the construction of a cellular approximation of the diagonal map ∆: ZK → ZK × ZK . Cellular cochains do not admit a functorial associative multiplication because a proper cellular diagonal approximation does not exist i...

Ülkemizde önemli bir potansiyele sahip olan bitki atıklarının biyoyakıt amaçlı enerji kaynağı olarak kullanılması önem kazanmaktadır. Bu atıklardan elde etmek için birçok yöntem bulunmakta olup bu yöntemlerden tanesi de peletlemedir. çalışmada Antep fıstığı işleme ve kavlatma tesisinden alınan kabuğu (AK), zeytinyağı zeytin küspesinden (ZK) pelet edilmesi edilen peletlerin fiziksel, kimyasal me...

We consider the problem of whether there exist non-trivial constant-round public-coin zero-knowledge (ZK) proofs. To date, in spite of high interest in the above, there is no definite answer to the question. We focus on the type of ZK proofs that admit a universal simulator (which handles all malicious verifiers), and show a connection between the existence of such proof systems and a seemingly...

Antiangiogenic therapy is a promising new strategy to inhibit tumor growth and formation of metastases. Vascular endothelial growth factor (VEGF) and its receptors, VEGF-receptor 1 (VEGF-R1; FLT-1) and VEGF-R2 (KDR), have been shown to play a major role in tumor angiogenesis. PTK787/ZK 222584, a specific inhibitor of both VEGF-receptor tyrosine kinases, was investigated for its antitumoral and ...

In this note, we investigate the Hamming weight enumerators of self-dual codes over F q and Zk. Using invariant theory, a basis for the space of invariants to which the Hamming weight enumerators belong for self-dual codes over F q and Zk is determined. 2

Let G be a finitely generated group, and let mn(G) denote the number of maximal subgroups index n. An upper bound is given for degree subgroup growth all polycyclic metabelian groups (i.e., limsup log n, polynomial mn(G)). A condition when this attained. G=Zk⋊AZ, where generator Z on right acts (by conjugation) Zk by multiplication A∈GL(k,Z). It shown that grows like equal to blocks in rational...

Halting tumor growth by interfering with tumor-induced angiogenesis is an attractive therapeutic approach. Such treatments include humanized antibodies blocking the activity of vascular endothelial growth factor (VEGF)-A (bevacizumab), soluble VEGF receptor (VEGFR) constructs (VEGF-Trap), or small-molecule inhibitors of VEGFR signaling, including PTK787/ZK222584 (PTK/ZK), sorafenib, and sunitin...

We consider the equation u′′ = P (z)u, where P (z) is a polynomial. Let zk(u), k = 1, 2, . . . be the zeros of a solution u(z) to that equation. Inequalities for the sums ∑j k=1 1 |zk(u)| (j = 1, 2, . . .) are derived. They considerably improve the previous result of the author. Some applications of the obtained bounds are also discussed. An illustrative example is presented. It shows that the ...