Zobrazeno 1 - 10
of 138
pro vyhledávání: '"Bos, Len"'
Autor:
Bos, Len, Waldron, Shayne
We give a holomorphic quartic polynomial in the overlap variables whose zeros on the torus are precisely the Weyl-Heisenberg SICs (symmetric informationally complete positive operator valued measures). By way of comparison, all the other known system
Externí odkaz:
http://arxiv.org/abs/2405.14123
We prove that, given an average power, the ascent time is minimized if a cyclist maintains a constant ground speed regardless of the slope. Herein, minimizing the time is equivalent to maximizing -- for a given uphill -- the corresponding mean ascent
Externí odkaz:
http://arxiv.org/abs/2403.03363
In this note we prove almost sure unisolvence of RBF interpolation on randomly distributed sequences by a wide class of polyharmonic splines (including Thin-Plate Splines), without polynomial addition.
Externí odkaz:
http://arxiv.org/abs/2312.13710
Autor:
Bos, Len
Suppose that $K\subset\C$ is compact and that $z_0\in\C\backslash K$ is an external point. An optimal prediction measure for regression by polynomials of degree at most $n,$ is one for which the variance of the prediction at $z_0$ is as small as poss
Externí odkaz:
http://arxiv.org/abs/2312.03091
We introduce explicit families of good interpolation points for interpolation on a triangle in $\mathbb{R}^2$ that may be used for either polynomial interpolation or a certain rational interpolation for which we give explicit formulas.
Externí odkaz:
http://arxiv.org/abs/2306.08392
Autor:
Bos, Len
We discuss the growth of the Lebesgue constants for polynomial interpolation at Fekete points for fixed degree (one) and varying dimension, and underlying set $K\subset \R^d$ a simplex, ball or cube.
Externí odkaz:
http://arxiv.org/abs/2305.01699
Autor:
Bos, Len
We survey what is known about Fekete points/optimal designs for a simplex in $\R^d.$ Several new results are included. The notion of Fej\'er exponenet for a set of interpolation points is introduced.
Externí odkaz:
http://arxiv.org/abs/2205.06498
We formulate a phenomenological model to study the power applied by a cyclist on a velodrome\, -- \,for individual timetrials\, -- \,taking into account the straights, circular arcs, connecting transition curves and banking. The dissipative forces we
Externí odkaz:
http://arxiv.org/abs/2201.06788
We model the instantaneous power applied by a cyclist on a velodrome -- for individual pursuits and other individual time trials -- taking into account its straights, circular arcs, and connecting transition curves. The forces opposing the motion are
Externí odkaz:
http://arxiv.org/abs/2110.15195
Publikováno v:
In Applied Mathematics Letters November 2024 157