788 research outputs found
On the computation of sets of points with low Lebesgue constant on the unit disk
In this paper of numerical nature, we test the Lebesgue constant of several available point sets on the disk and propose new ones that enjoy low Lebesgue constant. Furthermore we extend some results in Cuyt (2012), analyzing the case of Bos arrays whose radii are nonnegative Gauss–Gegenbauer–Lobatto nodes with exponent, noticing that the optimal still allows to achieve point sets on with low Lebesgue constant for degrees. Next we introduce an algorithm that through optimization determines point sets with the best known Lebesgue constants for. Finally, we determine theoretically a point set with the best Lebesgue constant for the case
In search of the ideal partnership between sign linguistics research and a bilingual teaching project:The case of Namur, Belgium
Put another way. Reformulation as a window into discourse and interaction in LSFB (French Belgian Sign Language)
Put another way. Reformulation as a window into discourse and interaction in LSFB (French Belgian Sign Language)
Study of the translational regulation of mitochondrial remodeling in a model of human Bone Marrow Mesenchymal Stem Cell hepatogenic differentiation
A Lanczos Method for Approximating Composite Functions
We seek to approximate a composite function h(x) = g(f(x)) with a global
polynomial. The standard approach chooses points x in the domain of f and
computes h(x) at each point, which requires an evaluation of f and an
evaluation of g. We present a Lanczos-based procedure that implicitly
approximates g with a polynomial of f. By constructing a quadrature rule for
the density function of f, we can approximate h(x) using many fewer evaluations
of g. The savings is particularly dramatic when g is much more expensive than f
or the dimension of x is large. We demonstrate this procedure with two
numerical examples: (i) an exponential function composed with a rational
function and (ii) a Navier-Stokes model of fluid flow with a scalar input
parameter that depends on multiple physical quantities
Sociolinguistic variation of two-handed signs in French Belgian Sign Language: Weak drop as a stable reduction phenomenon
- …