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Active Learning of Atomic Size Gas/Solid Potential Energy Surfaces via Physics Aware Models. [PDF]

open access: yesJ Chem Inf Model
Patsalidis N   +4 more
europepmc   +1 more source

Armed with Faster Crypto: Optimizing Elliptic Curve Cryptography for ARM Processors. [PDF]

open access: yesSensors (Basel)
De Smet R   +4 more
europepmc   +1 more source

Bipedal Robot Gait Generation Using Bessel Interpolation. [PDF]

open access: yesBiomimetics (Basel)
Wang Z   +5 more
europepmc   +1 more source
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Generalized Bernstein Polynomials

BIT Numerical Mathematics, 2004
The authors define generalized Bernstein polynomials of degree \(n\), for \(n \in \mathbb{N}\) and \(i \in \{0,1,\dots,n\}\), by \[ B_i^n(x;\omega| q):= \frac{1}{(\omega;q)_n} \begin{bmatrix} n \\i \end{bmatrix}_q x^i(\omega x^{-1};q)_i(x;q)_{n-i}. \] Here \(q\) and \(\omega\) are real parameters such that \(q \neq 1\) and \(\omega \neq 1,q^{-1},\dots ...
Lewanowicz, Stanisław, Woźny, Paweł
openaire   +2 more sources

On Generalized Bernstein Polynomials

SIAM Journal on Mathematical Analysis, 1974
The generalized Bernstein polynomials of Jakimovski and Leviatan and the generalized Euler summability method of Wood are considered in the general context of Gronwall-like transformations. It is shown under general circumstances that, for bounded sequences, generalized Euler summability is equivalent to Euler summability.
Bustoz, J., Groetsch, C. W.
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Tensor product q-Bernstein polynomials

BIT Numerical Mathematics, 2008
Given a real number \(q>0\), \(q\)-Bernstein polynomials are a generalization, in the spirit of \(q\)-calculus, of the classical Bernstein polynomials (which can be obtained for \(q=1\)) where some of the integers in the definition of the classical ones are substituted by \(q\)-integers.
Dişibüyük, Çetin, Oruç, Halil
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Random Bernstein Polynomials

Scandinavian Journal of Statistics, 1999
Random Bernstein polynomials which are also probability distribution functions on the closed unit interval are studied. The probability law of a Bernstein polynomial so defined provides a novel prior on the space of distribution functions on [0, 1] which has full support and can easily select absolutely continuous distribution functions with a ...
openaire   +3 more sources

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