Zobrazeno 1 - 10
of 24 514
pro vyhledávání: '"Pain A"'
Autor:
Daniel Da Der Sng, Giulia Uitenbosch, Hans D. de Boer, Hugo Nogueira Carvalho, Juan P. Cata, Gabor Erdoes, Luc Heytens, Fernande Jane Lois, Paolo Pelosi, Anne-Françoise Rousseau, Patrice Forget, David Nesvadba, Pain AND Opioids after Surgery (PANDOS) European Society of Anaesthesiology, Intensive Care (ESAIC) Research Group
Publikováno v:
BMC Anesthesiology, Vol 23, Iss 1, Pp 1-7 (2023)
Abstract Introduction The management of postoperative pain in anaesthesia is evolving with a deeper understanding of associating multiple modalities and analgesic medications. However, the motivations and barriers regarding the adoption of opioid-spa
Externí odkaz:
https://doaj.org/article/2f50c3455bc84fdfa4ce6a931021709e
Autor:
Pain, Jean-Christophe, Poirier, Michel
The distributions $P(M_L,M_S)$ of the total magnetic quantum numbers $M_L$ and $M_S$ for $N$ electrons of angular momentum $\ell$, as well as the enumeration of $LS$ spectroscopic terms and spectral lines, are crucial for the calculation of atomic st
Externí odkaz:
http://arxiv.org/abs/2410.01385
We propose a relation between values of the Riemann zeta function $\zeta$ and a family of integrals. This results in an integral representation for $\zeta(2p)$, where $p$ is a positive integer, and an expression of $\zeta(2p+1)$ involving one of the
Externí odkaz:
http://arxiv.org/abs/2409.06546
Low-dose positron emission tomography (PET) image reconstruction methods have potential to significantly improve PET as an imaging modality. Deep learning provides a promising means of incorporating prior information into the image reconstruction pro
Externí odkaz:
http://arxiv.org/abs/2409.06198
A sum rule for $r$-derangements obtained from the Cauchy product of exponential generating functions
Autor:
Pain, Jean-Christophe
We propose a sum rule for $r$-derangements (meaning that the elements are restricted to be in distinct cycles in the cycle decomposition) involving binomial coefficients. The identity, obtained using the Cauchy product of two exponential generating f
Externí odkaz:
http://arxiv.org/abs/2408.15927
Autor:
Pain, Jean-Christophe
In an interesting article entitled ``A curious formula related to the Euler Gamma function'', Bakir Farhi posed the open question of whether it was possible to obtain an expression of $$ \boldsymbol{\eta}=2\int_0^1\log\Gamma(x)\,\cdot\sin(2\pi x)\,\m
Externí odkaz:
http://arxiv.org/abs/2408.14835
Reduction multigrids have recently shown good performance in hyperbolic problems without the need for Gauss-Seidel smoothers. When applied to the hyperbolic limit of the Boltzmann Transport Equation (BTE), these methods result in very close to $\math
Externí odkaz:
http://arxiv.org/abs/2408.08262
Autor:
Pain, Jean-Christophe
In this article, we propose an integral expression of the Catalan numbers, based on Malmst\'en's definite-integral representation of $\ln\left[\Gamma(x)\right]$, $\Gamma$ being the usual Gamma function. The obtained expression is likely to yield new
Externí odkaz:
http://arxiv.org/abs/2408.05130
Autor:
Pain, Jean-Christophe
In this article, we use the Touchard identity in order to obtain new integral representations for Catalan numbers. The main idea consists in combining the identity with a known integral representation and resorting to the binomial theorem. The same p
Externí odkaz:
http://arxiv.org/abs/2408.01201
Autor:
Pain, Jean-Christophe
In this article, we investigate the $p$-adic valuation $\nu_p$ of quantities such as the factorial $n!$, the hyperfactorial $H(n)$ or the superfactorial $\mathrm{sf}(n)$. In particular, we obtain simple bounds (both upper and lower) for $\nu_p$, usin
Externí odkaz:
http://arxiv.org/abs/2408.00353