The high-energy gamma-ray light curve of the binary system PSR B1259 −63, is computed using the approach that successfully predicted the spectrum at periastron. The simultaneous INTEGRAL and H.E.S.S. spectra taken 16 days after periastron currently permit both a model with dominant radiative losses, high pulsar wind Lorentz factor and modest efficiency as well as one with dominant adiabatic los...

For a planar curve C with positive affine curvature, we derive an asymptotic formula for the area approximation by quadratic spline curves with n knots lying on C. The order of approximation is 1/n4 and the formula depends on an integral over the affine curvature. 1991 AMS subject classification: 52A10, 53A04, 53A15, 41A15, 41A50

We give an explicit upper bound for the number of isolated intersections between an integral curve of a polynomial vector eld in R n and an algebraic hypersurface. The answer is polynomial in the height (the magnitude of coeecients) of the equation and the size of the curve in the space-time, with the exponent depending only on the degree and the dimension. The problem turns out to be closely r...

We present a slicing-based coherence measure for clusters of DTI integral curves. For a given cluster, we probe samples from the cluster by slicing it with a plane at regularly spaced locations parametrized by curve arc lengths. Then we compute a stability measure based on the spatial relations between the projections of the curve points in individual slices and their change across the slices. ...

OBJECTIVES Outpatient hysteroscopy has become an integral part of postgraduate training in gynecology. It is an operator-dependent procedure, however there are no recommendations regarding total number of performed procedures to reach proficiency. MATERIAL AND METHODS This study aimed to assess the learning curve (LC) using cumulative summation test for learning curve (LC-CUSUM). RESULTS A ...

We extend Krupnik’s criterion of self-adjointness of the Cauchy singular integral operator to the case of finitely connected domains. The main aim of the paper is to present a new approach for proof of the criterion. Let G+ be a finitely connected domain bounded by the rectifiable curve C = ∂G+, G− = C \ clos G+ and ∞ ∈ G−. Suppose also that w(z), z ∈ C is a nonnegative weight such that w(z) 6≡...

In a previous paper (physics/0203061) ”Floating bodies of equilibrium” we have shown that there exist two-dimensional non-circular crosssections of bodies of homogeous density ρ 6= 1/2 which can float in any orientation in water, which have a p-fold rotation axis. For given p they exist for p− 2 different densities. However, this was found only in a Taylor-expansion in a parameter which describ...

Abstract We extend the Eruguin result exposed in the paper ”Construction of the whole set of ordinary differential equations with a given integral curve” published in 1952 and construct a differential system in R which admits a given set of the partial integrals, in particular we study the case when theses functions are polynomials. We construct a non-Darboux integrable planar polynomial system...

Using a geometric approach turns out to be extremely fruitful. There are several simplifications which one can make. First, if the polynomial f(X,Y ) factors in C[X,Y ], then C breaks up into a union of two or more curves, each of which may be studied separately, so it suffices to study curves defined by irreducible polynomials. Second, the curve C may be singular, but we can always replace C w...

Fix a non-negative integer g and a positive integer I dividing 2g − 2. For any Henselian, discretely valued field K whose residue field is perfect and admits a degree I cyclic extension, we construct a curve C/K of genus g and index I. This is obtained via a systematic analysis of local points on arithmetic surfaces with semistable reduction. Applications are discussed to the corresponding prob...