Results 51 to 60 of about 1,392 (81)

Machine Learning‐Based Prediction of Immunomodulatory Properties of Polymers: Toward a Faster and Easier Development of Anti‐Inflammatory Biomaterials

Advanced NanoBiomed Research, Volume 4, Issue 3, March 2024.
Polymeric materials are widely used for biomedical applications, from implants to thin nanoscale coatings. Herein, the possibility to predict anti‐inflammatory properties of the polymers using machine learning algorithms is explored. The study suggests that with appropriate dataset design, machine learning techniques can provide valuable information on
Aghilas Akkache, Lisa Clavier, Oleh Mezhenskyi, Kateryna Andriienkova, Thibaut Soubrié, Philippe Lavalle, Nihal Engin Vrana, Varvara Gribova   +7 more
wiley   +1 more source

Probabilistic multi-Stirling numbers of the second kind associated with random variables

Applied Mathematics in Science and Engineering
This paper investigates a probabilistic extension of the multi-Stirling numbers of the second kind and a ‘poly' version of the probabilistic degenerate Lah-Bell polynomials.
Xiangjing Liu, Yuankui Ma, Taekyun Kim, Dae San Kim, Yanan Hei   +4 more
doaj   +1 more source

Asymptotic improvement of the Gilbert-Varshamov bound for linear codes

, 2006
The Gilbert-Varshamov bound states that the maximum size A_2(n,d) of a binary code of length n and minimum distance d satisfies A_2(n,d) >= 2^n/V(n,d-1) where V(n,d) stands for the volume of a Hamming ball of radius d.
Gaborit, Philippe, Zemor, Gilles
core   +5 more sources

Probabilistic degenerate poly-Bell polynomials associated with random variables

Mathematical and Computer Modelling of Dynamical Systems
Let [Formula: see text] be a random variable whose moment generating function exists in a neighbourhood of the origin. The aim of this paper is to study the probabilistic degenerate poly-Bell polynomials associated with the random variable [Formula: see ...
Pengxiang Xue, Yuankui Ma, Taekyun Kim, Dae San Kim, Wenpeng Zhang   +4 more
doaj   +1 more source

Polynomial Triangles Revisited [PDF]

, 2012
A polynomial triangle is an array whose inputs are the coefficients in integral powers of a polynomial. Although polynomial coefficients have appeared in several works, there is no systematic treatise on this topic. In this paper we plan to fill this gap.
Mohammedia Morocco, Nour-eddine Fahssi
core  

A study on a type of degenerate poly-Dedekind sums

Demonstratio Mathematica
Dedekind sums and their generalizations are defined in terms of Bernoulli functions and their generalizations. As a new generalization of the Dedekind sums, the degenerate poly-Dedekind sums, which are obtained from the Dedekind sums by replacing ...
Ma Yuankui, Luo Lingling, Kim Taekyun, Li Hongze, Zhang Wenpeng   +4 more
doaj   +1 more source

Extension of the Bernoulli and Eulerian Polynomials of Higher Order and Vector Partition Function

, 2006
Following the ideas of L. Carlitz we introduce a generalization of the Bernoulli and Eulerian polynomials of higher order to vectorial index and argument. These polynomials are used for computation of the vector partition function $W({\bf s},{\bf D})$, i.
Rubinstein, Boris Y.
core  

Formulas for p-adic q-integrals including falling-rising factorials, combinatorial sums and special numbers

, 2017
The main purpose of this paper is to provide a novel approach to deriving formulas for the p-adic q-integral including the Volkenborn integral and the p-adic fermionic integral.
Simsek, Yilmaz
core  

Universal sieve-based strategies for efficient estimation using machine learning tools. [PDF]

Bernoulli (Andover), 2021
Qiu H, Luedtke A, Carone M.
europepmc   +1 more source

FULLY DEGENERATE HERMITE POLY-BERNOULLI NUMBERS AND POLYNOMIALS

, 2018
In the paper, we first introduce the fully degenerate Hermite poly-Bernoulli polynomials and investigate their properties. Next we derive the implicit summation formulae and general symmetry identities by making use of different analytical means and generating function method.
Khan, Waseem Ahmad, Nisar, Kottakkaran Sooppy, Araci, Serkan, Acikgoz, Mehmet   +3 more
openaire   +1 more source