Results 61 to 70 of about 4,846 (246)
Computer Graphics Forum, EarlyView.Abstract We introduce mixed super‐circles, a position‐curvature formulation of the original dynamic 2D super‐helix model. Compared to the latter, purely curvature‐based model – the so‐called chained formulation –, the mixed formulation that we propose here drastically reduces the algorithmic complexity of the solving scheme – from quadratic to quasi ...
Emile Hohnadel +2 more
wiley +1 more source
Sinc function quadrature rules for the Fourier integral
, 1983 In this paper a numerical algorithm is proposed for the computation of the Fourier Transform. The quadrature rule developed is based on the Whittaker Cardinal Function expansion of the integrand and a certain Conformal Map.
John Lund
core +1 more source
The evaluation of a definite integral by the method of brackets illustrating its flexibility
Open MathematicsThe method of brackets is a procedure to evaluate definite integrals over a half-line. It consists of a small number of rules. This article illustrates the method by evaluating an integral by several variations of the method. The integrand is the product
Gonzalez Ivan +2 more
doaj +1 more source
The Journal of Industrial Economics, EarlyView.ABSTRACT We study optimal simple rating systems that partition sellers into a finite number of tiers. We show that optimal ratings must be threshold partitions, and that for linear supply and Cournot competition with constant marginal cost, optimal thresholds solve a k‐means clustering problem requiring only the quality distribution.
Hugo Hopenhayn, Maryam Saeedi
wiley +1 more source
Leading singularities and chambers of Correlahedron
Journal of High Energy PhysicsIn this paper, we explore the chamber dissection of the loop-geometry of Correlahedron, which encodes the loop integrand of four-point stress-energy correlators in planar N $$ \mathcal{N} $$ = 4 super Yang-Mills.
Song He, Yu-tin Huang, Chia-Kai Kuo
doaj +1 more source
Relations between elliptic modular graphs
Journal of High Energy Physics, 2020 We consider certain elliptic modular graph functions that arise in the asymptotic expansion around the non-separating node of genus two string invariants that appear in the integrand of the D 8ℛ4 interaction in the low momentum expansion of the four ...
Anirban Basu
doaj +1 more source
A joint model of cost and churn for the insurance industry
Journal of Risk and Insurance, EarlyView.Abstract In insurance markets, claim costs are highly variable, heavy‐tailed, and difficult to predict. At the same time, policyholder retention and lapse behavior (customer churn) are critical determinants of long‐term profitability and solvency. Most existing models in the literature treat claim costs and lapses as independent, overlooking potential ...
Yumo Dong +4 more
wiley +1 more source
, 2017 Rational approximations for the Gauss function can be used to construct closed-form expressions of the Voigt function K(x,y) in terms of rational functions, logarithms and inverse trigonometric functions.
Franz Schreier, Schreier, Franz
core +1 more source
Estimation of the Intercept Parameter in Integrated Galton–Watson Processes
Journal of Time Series Analysis, EarlyView.ABSTRACT We study the estimation of the intercept parameter in an integrated Galton–Watson process, an important building block for many count‐valued time series models. In this unit root setting, the ordinary least squares estimator is known to be inconsistent, whereas the existing weighted least squares (WLS) estimator is consistent only in the case ...
Yang Lu
wiley +1 more source
The Integral Decimation Method for Quantum Dynamics and Statistical Mechanics [PDF]
QuantumThe solutions to many problems in the mathematical, computational, and physical sciences often involve multidimensional integrals. A direct numerical evaluation of the integral incurs a computational cost that is exponential in the number of dimensions ...
Ryan T. Grimm +2 more
doaj +1 more source