In this work, the branching ratio $\mathcal{B}[B\to K\chi_{c0}(2P)]$ is extracted for first time through fit fractions in newly measured $B\to KD\bar{D}$ process by LHCb. With rescattering mechanism, reproduced well. Our study further enforces role of to establish $\chi_{c0}(2P)$ charmonium state, which a crucial step when constructing family.

We study splitting chains in $$\mathcal{P}(\omega)$$ , that is, families of subsets ω which are linearly ordered by ⊆* and splitting. prove their existence is independent axioms ZFC. show they can be used to construct certain peculiar Banach spaces: twisted sums C(ω*) = l∞/c0 c0(c). Also, we consider a topological setting, where give rise the so called tunnels.

We successfully embed the Kim-Nilles-Peloso (KNP) alignment mechanism for enhancing the axion decay constant in the context of large volume type IIB orientifolds. The flat direction is generated in the plane of (C0 −C2) axions corresponding to the involutively even universal axion C0 and odd axion C2, respectively. The moduli stabilization with large volume scheme has been established as well.

We show there exists a continuous compactly supported function ' de ned on the reals satsifying '(x) = c0'(2x) + c1'(2x 1) + c2'(2x 2) if and only if c1 = 1, c0 + c2 = 1, and jc0j; jc2j < 1. The functions ' are examples of scaling functions from the theory of wavelets. x

In this study, we determine the fine spectrum of the matrix operator ∆ defined by an upper triangle double band matrix acting on the sequence space c0 with respect to the Goldberg’s classification. As a new development, we give the approximate point spectrum, defect spectrum and compression spectrum of the matrix operator ∆ on c0. AMS subject classifications: 47A10, 47B37

Answering a question of Krivelevich and Vu [12], we present an algorithm for approximating the chromatic number of random graphs Gn,p within a factor of O( √ np/ ln(np)) in polynomial expected time. The algorithm applies to edge probabilities c0/n ≤ p ≤ 0.99, where c0 > 0 is a certain constant.

A Banach space is polyhedral if the unit ball of each of its finite dimensional subspaces is a polyhedron. It is known that a polyhedral Banach space has a separable dual and is c0-saturated, i.e., each closed infinite dimensional subspace contains an isomorph of c0. In this paper, we show that the Orlicz sequence space hM is isomorphic to a polyhedral Banach space if limt→0 M(Kt)/M(t) = ∞ for ...

A circulant matrix of order n is the matrix of convolution by a fixed element of the group algebra of the cyclic group Zn. Replacing Zn by an arbitrary finite group G gives the class of matrices that we call G-circulant. We determine the eigenvalues of such matrices with the tools of representation theory and the non-abelian Fourier transform. Definition 1 An n by n matrix C is circulant if the...