In this note, we provide a new perspective on Euler–Maclaurin expansions of (offset) trapezoidal rule approximations of the finite-range integrals I [f ] = ∫ b a f (x) dx, where f ∈ C∞(a, b) but can have general algebraic-logarithmic singularities at one or both endpoints. These integrals may exist either as ordinary integrals or as Hadamard finite part integrals. We assume that f (x) has asymp...

The concept of universal integral, recently proposed, generalizes the Choquet, Shilkret and Sugeno integrals. Those integrals admit a discrete bipolar formulation, useful in those situations where the underlying scale is bipolar. In this paper we propose the concept of discrete bipolar universal integral, in order to provide a common framework for bipolar discrete integrals, including as specia...

This paper may be regarded as a new numerical method for the analysis of triangular thin plates using the natural area coordinates. Previous studies on the solution of triangular plates with different boundary conditions are mostly based on the Rayleigh-Ritz principle which is performed in the Cartesian coordinates. Consequently, manipulation of the geometry and numerical calculation of the int...

1 1 Neural Correlates of Interand Intra-individual Saccadic Reaction Time Differences in 2 the Gap/Overlap Paradigm 3 4 5 6 7 Jale Özyurt, Mark W. Greenlee 8 9 10 1 Biological Psychology Lab, Institute of Psychology, Carl von Ossietzky University, 26111 11 Oldenburg 12 13 Department of Experimental Psychology, University of Regensburg, Universitätsstraße 14 31, Regensburg 93053, Germany 15 16 1...

Given S1, a finite set of points in the plane, we define a sequence of point sets Si as follows: With Si already determined, let Li be the set of all the line segments connecting pairs of points of ⋃i j=1 Sj , and let Si+1 be the set of intersection points of those line segments in Li, which cross but do not overlap. We show that with the exception of some starting configurations the set of all...

Variation in the size and overlap of space use by white-tailed deer (Odocoileus virginianus) has broad implications for managing deer–human conflicts and disease spread and transmission in urban landscapes. Understanding which factors affect overlap of home range by various segments (i.e., age, sex) of an urban deer population has implications to direct contact between deer on disease epidemiol...

1. The trace formula of Selberg reduces the problem of calculating the dimension of a space of automorphic forms, at least when there is a compact fundamental domain, to the evaluation of certain integrals. Some of these integrals have been evaluated by Selberg. An apparently different class of definite integrals has occurred in Harish-Chandra’s investigations of the representations of semi-sim...