A Poisson Binomial Distribution of order n is the discrete probability distribution of the sum of n independent indicator random variables. The distribution is parameterized by a vector (pi) n i=1 ∈ [0, 1]n of probabilities, and is denoted PBD(p1, . . . , pn). In this paper we establish that the set Sn of all Poisson Binomial distributions of order n admits certain useful covers with respect to...

The application of our glueball-qq̄ filter to the centrally produced KK̄π system shows that the f1(1285) and f1(1420) have the same behaviour; namely consistent with the f1(1420) being the partner to the f1(1285) in the P1 nonet of axial mesons. We determine a flavour singlet-octet mixing angle of ∼ 50 for this nonet and highlight that the existence of the supposed f1(1510) needs confirmation. e-...

Aut(H) = PGL2(R) = PSL2(R) = SL2(R)/{±I2}, where the plus sign denotes matrices with positive determinant. A fundamental result of Riemann states that every simply connected connected Riemann surface is isomorphic to C,P1(C) or H. In fact, any punctured Riemann surface, R (namely R ⊆ R with R a compact Riemann surface and R−R a finite set of points), which is hyperbolic, that is, 2− 2 · genus(R...

Let A(S) be the arrangement formed by a set of n line segments S in the plane. A subset of arrangement vertices p1, p2, . . . , pk is called a convex k-gon of A(S) if (p1, p2, . . . , pk) forms a convex polygon and each of its sides, namely, (pi, pi+1) is part of an input segment. We want to count the number of distinct convex k-gons in the arrangement A(S), of which there can be Θ(n) in the wo...

Let χ be a non-principal Dirichlet character to the prime modulus p. In 1963, Burgess showed that the maximum number of consecutive integers H for which χ remains constant is O ( p1/4 log p ) . This is the best known asymptotic upper bound on this quantity. Recently, McGown proved an explicit version of Burgess’s theorem, namely that H < 7.06p1/4 log p for p ≥ 5 ·1018. Preobrazhenskaya, in the ...

This contribution presents a dependency grammar (DG) analysis of the so-called descriptive and resultative V-de constructions in Mandarin Chinese (VDCs); it focuses, in particular, on the dependency analysis of the noun phrase that intervenes between the two predicates in a VDC. Two methods, namely chunking data collected from informants and two diagnostics specific to Chinese, i.e. bǎ and bèi ...

In a fetal-type posterior circle of Willis (FTP) there is an embryonic derivation of the posterior cerebral artery (PCA) from the internal carotid artery (ICA). Besides the fact that a larger area is thus dependent on the ICA, leptomeningeal vessels cannot develop between the anterior and posterior circulation. The tentorium namely prevents cerebellar vessels from connecting to the PCA territor...

In this paper, we propose a novel unfitted finite element method for the simulation of multiple body contact. The computational mesh is generated independently of the geometry of the interacting solids, which can be arbitrarily complex. The key novelty of the approach is the combination of elements of the CutFEM technology, namely the enrichment of the solution field via the definition of overl...