In this paper, d-dimensional (dD) quasi-periodically forced nonlinear Schrödinger equation with a general nonlinearity iut −∆u+Mξu+ εφ(t)(u+ h(|u| 2)u) = 0, x ∈ T, t ∈ R under periodic boundary conditions is studied, where Mξ is a real Fourier multiplier and ε is a small positive parameter, φ(t) is a real analytic quasi-periodic function in t with frequency vector ω = (ω1,ω2 . . . ,ωm), and h(|...

§0 Introduction. In a paper of Wan [W], he proved that for each holomorphic quadratic differential defined on the Euclidean 2-disk, D, there exists a harmonic diffeomorphism from the real hyperbolic plane H R into itself, such that its Hopf differential is the given holomorphic quadratic differential after representing H R by the Poincaré model. In addition, he also proved that this corresponde...

The title compound, C14H15N3O4, is nearly planar, the dihedral angle between the planes of the phenyl and pyrazolidine rings being 1.13 (7) Å, and that between the plane of the pyrazolidine ring and the mean plane of the side chain [C-N-C-C(=O)-O; r.m.s. deviation = 0.024 Å] being 2.52 (7)°. This is due in large part to the presence of the intra-molecular N-H⋯O and C-H⋯O hydrogen bonds. In the ...

A classical result in the theory of Hopf algebras concerns the uniqueness and existence of inte-grals: for an arbitrary Hopf algebra, the integral space has dimension ≤ 1, and for a finite dimensional Hopf algebra, this dimension is exaclty one. We generalize these results to quasi-Hopf algebras and dual quasi-Hopf algebras. In particular, it will follow that the bijectivity of the antipode fol...

| This paper presents a quasi-interpolation method for DIV-CURL vector splines in two dimensions on both innnite and nite domains. The quasi-interpolant is a linear combination of translates of dilates of a basis function. In particular, our discussion focuses on the approximation of a vector-valued function deened on a nite domain for practical application purposes. In such a case, edge functi...

A graph is strongly perfect if every induced subgraph H of it has a stable set that meets maximal clique H. claw-free no vertex three pairwise nonadjacent neighbors. The characterization graphs are by forbidden subgraphs was conjectured Ravindra in 1990 and proved Wang 2006. Here we give shorter proof this characterization.

The hydrogen bonding in water is dominated by pairwise dimer interactions, and the predissociation of the water dimer following vibrational excitation is reported here. Velocity map imaging was used for an experimental determination of the dissociation energy (D(0)) of (D(2)O)(2). The value obtained, 1244 ± 10 cm(-1) (14.88 ± 0.12 kJ/mol), is in excellent agreement with the calculated value of ...

We consider properly discontinuous, isometric, convex cocompact actions of surface groups Γ on a CAT(-1) space X. We show that the limit set of such an action, equipped with the canonical visual metric, is a (weak) quasicircle in the sense of Falconer and Marsh. It follows that the visual metrics on such limit sets are classified, up to biLipschitz equivalence, by their Hausdorff dimension. Thi...

In the present paper we introduce and study the notion of pairwise weakly Lindelof bitopological spaces and obtain some results. Further, we also study the pairwise weakly Lindelof subspaces and subsets, and investigate some of their properties. It was proved that a pairwise weakly Lindelof property is not a hereditary property.

(Def. 2) lenpr2(h1) = lenh1 and for every n such that n ∈ dompr2(h1) holds pr2(h1)(n) = h1(n)2. Let us consider A, B, let f1 be a homogeneous quasi total non empty partial function from A∗ to A, and let f2 be a homogeneous quasi total non empty partial function from B∗ to B. Let us assume that arity f1 = arity f2. The functor ee f1, f2dd yields a homogeneous quasi total non empty partial functi...