We present a strategy to develop in a functional setting cor rect e cient and portable Divide and Conquer DC programs for mas sively parallel architectures Starting from an operational DC program mapping sequences to sequences we apply a set of semantics preserving transformation rules which transform the parallel control structure of DC into a sequential control ow thereby making the implicit ...

The cortical surface of the human brain is composed of folds that are juxtaposed alongside one another. Several methods have been proposed to study the shape of these folds, e.g., by first segmenting them on the cortical surface or by analysis via a continuous deformation of a common template. A major disadvantage of these methods is that, while they can localize shape differences, they cannot ...

In a previous work a random matrix average for the Laguerre unitary ensemble, generalising the generating function for the probability that an interval (0, s) at the hard edge contains k eigenvalues, was evaluated in terms of a Painlevé V transcendent in σ-form. However the boundary conditions for the corresponding differential equation were not specified for the full parameter space. Here this...

We deene stochastic integrals with respect to free Brownian motion, and show that they satisfy Burkholder-Gundy type inequalities in operator norm. We prove also a version of It^ o's predictable representation theorem, as well as product form and functional form of It^ o's formula. Finally we develop stochastic analysis on the free Fock space, in analogy with stochastic analysis on the Wiener s...

A concise introduction to the Normalized Quadratic expenditure or cost function is provided so that the interested reader will have the necessary information to understand and use this functional form. The Normalized Quadratic is an attractive functional form for use in empirical applications as correct curvature can be imposed in a parsimonious way without losing the desirable property of flex...

In this paper we describe a renormalon-inspired model of twist–4 power corrections to the light-cone pion distribution amplitude, and compare it to the results obtained using the conformal wave expansion. We find that the overall functional form predicted in this renormalon model is similar to the one predicted in the standard approach to higher twist contributions involving an expansion in con...

It is commonly observed that native French speakers tend to drop nonnative /h/-like phonemes, or to insert them where unexpected, in the “/h/ languages” they learn (e.g. English). The perception of the Japanese /h/ by French listeners was tested by way of an AXB discrimination task on non-words and a word identification task on Japanese minimal pairs. For naïve listeners not learning Japanese (...

The consumer price index (CPI) is usually computed as a fixed-weighted Laspeyres price index, with the weights updated at discrete intervals only. It is well known that the Laspeyres functional form entails a substitution bias. One way to reduce it would be to use chained indices, and superlative ones if possible. Unfortunately, the necessary data are often missing. This paper proposes a simple...

Accident prediction models, also known as safety performance functions, have several important uses in modern day safety analysis. Unfortunately, calibration of these models is not straightforward. This paper documents a research effort that demonstrates the complexity of calibrating these models for urban intersections. These complexities relate to the specification of the functional form, the...

In the present paper we will introduce a new approach to multivariate interpolation by employing polyharmonic functions as interpolants, i.e. by solutions of higher order elliptic equations. We assume that the data arise from C∞ or analytic functions in the ball BR. We prove two main results on the interpolation of C∞ or analytic functions f in the ball BR by polyharmonic functions h of a given...