The asymptotic behavior of quadratic Hermite-Padé polynomials pn, qn, rn ∈ Pn of type I and pn, qn, rn ∈ P2n of type II associated with the exponential function are studied. In the introduction the background of the definition of Hermite-Padé polynomials is reviewed. The quadratic Hermite-Padé polynomials pn, qn, rn ∈ Pn of type I are defined by the relation pn(z) + qn(z)e z + rn(z)e 2z = O(z) ...

We present the first fast route planning algorithm that answers shortest paths queries for a customizable linear combination of two different metrics, e. g. travel time and energy cost, on large scale road networks. The precomputation receives as input a directed graph, two edge weight functions t(e) and c(e), and a discrete interval [L,U ]. The resulting flexible query algorithm finds for a pa...

The following true/false questions may be attempted before reading the tutorial. The answers are given at the end of the text. 1. In the normal heart: a. Pre-load is the same as left ventricular end-diastolic volume b. Increase in pre-load has no effect on the force of the next contraction c. Systemic vasoconstriction reduces afterload d. Isovolumetric ventricular contraction ends when the aort...

The Laplacian spectral recursion, satisfied by matroid complexes and shifted complexes, expresses the eigenvalues of the combinatorial Laplacian of a simplicial complex in terms of its deletion and contraction with respect to vertex e, and the relative simplicial pair of the deletion modulo the contraction. We generalize this recursion to relative simplicial pairs, which we interpret as convex ...

The mechanism of excitation-contraction (E-C) coupling in skeletal muscle is not yet well established. Cultured mouse skeletal muscle cells have been used to study the relationships between triad formation, Ca2+ channel activities, and contractions. The ontogenesis of voltage-dependent Ca2+ channels and their localization in relation to the ability of muscle to contract and the ultrastructural ...

We examined the possible role of cyclooxygenase (COX) in charybdotoxin (ChTX)-induced oscillatory contraction in guinea pig trachea. Involvement of prostaglandin E(2) (PGE(2)) in ChTX-induced oscillatory contraction was also investigated. ChTX (100 nM) induced oscillatory contraction in guinea pig trachea. The mean oscillatory frequency induced by ChTX was 10.7 +/- 0.8 counts/h. Maximum and min...

The Brownian motion over the space of fluid velocity configurations driven by the hydrodynamical equations is considered. The Green function is computed in the form of an asymptotic series close to the standard diffusion kernel. The high order asymptotic coefficients are studied. Similarly to the models of quantum field theory, the asymptotic contributions demonstrate the factorial growth and a...

When a parameter of interest is de…ned to be a nondi¤erentiable transform of a regular parameter, the parameter does not have an in‡uence function, rendering the existing theory of semiparametric e¢ cient estimation inapplicable. However, when the nondi¤erentiable transform is a known composite map of a continuous piecewise linear map with a single kink point and a translation-scale equivariant...

We show that the Bessel equation can be cast, by means of suitable transformations, into a system of two damped/amplified parametric oscillator equations. The relation with the group contraction mechanism is analyzed and the breakdown of loop-antiloop symmetry due to group contraction manifests itself as violation of time-reversal symmetry. A preliminary discussion of the relation between some ...