Results 61 to 70 of about 229,398 (238)

On the perturbative expansion of exact bi-local correlators in JT gravity

Journal of High Energy Physics, 2021
We study the perturbative series associated to bi-local correlators in Jackiw-Teitelboim (JT) gravity, for positive weight λ of the matter CFT operators. Starting from the known exact expression, derived by CFT and gauge theoretical methods, we reproduce
Luca Griguolo, Jacopo Papalini, Domenico Seminara   +2 more
doaj   +1 more source

A Generative Neuro‐Symbolic AI for Protein Sequence Design

Advanced Science, EarlyView.
We introduce EffieDes, a neuro‐symbolic framework coupling deep learning‐based fitness landscape parameterization with exact automated reasoning. Unlike greedy sampling, EffieDes identifies sequences that globally optimize fitness while satisfying intricate design constraints.
Marianne Defresne, Delphine Dessaux, Samuel Buchet, Lucie Barthe, Liza Ammar‐Khodja, Bessam Azizi, Valentin Durante, Gianluca Cioci, Simon de Givry, Alain Roussel, Luis F. Garcia‐Alles, Thomas Schiex, Sophie Barbe   +12 more
wiley   +1 more source

Asymptotic estimates for Apostol-Bernoulli and Apostol-Euler polynomials [PDF]

, 2012
We analyze the asymptotic behavior of the Apostol-Bernoulli polynomials Bn(x; λ) in detail. The starting point is their Fourier series on [0, 1] which, it is shown, remains valid as an asymptotic expansion over compact subsets of the complex plane.
Navas, L.M. [0000-0002-5742-8679], Varona, J.L. [0000-0002-2023-9946], Francisco J. Ruiz, Juan L. Varona, Ruiz, F.J., Luis M. Navas, Navas, L.M., Varona, J.L.   +7 more
core   +1 more source

Inverse Design of Pre‐Strain via a Predictive Electromechanical Model for Enhanced Strain Sensing

Advanced Science, EarlyView.
An analytical electromechanical model rooted in microcrack evolution mechanics is globally calibrated from only eight pre‐strain datasets, enabling prediction of the complete sensing response at untested pre‐strain values within the calibrated design space (R2 > 0.99).
Jia‐Chen Shang, Rui Wang, Bo Lu, Ming‐Liang Song, Yu‐Yi Chen, Kuo Han, Xin‐Jie Feng, Bin Sun, Yao‐Guang Cao, Xiao‐Yu Yan, Shi‐Chun Yang   +10 more
wiley   +1 more source

Some identities involving generalized Gegenbauer polynomials

Advances in Difference Equations, 2017
In this paper, we investigate some interesting identities on the Bernoulli, Euler, Hermite and generalized Gegenbauer polynomials arising from the orthogonality of generalized Gegenbauer polynomials in the generalized inner product 〈 p 1 ( x ) , p 2 ( x )
Zhaoxiang Zhang
doaj   +1 more source

Raman Analysis of RNA Nucleotide Strands From SARS‐CoV‐2 Variants and Subvariants: A Step Forward in the Definition of “Raman Genome”

Advanced Science, EarlyView.
Main Raman signals in RNA, related to helical backbone, ribofuranose ring, and nitrogenous bases, are affected by secondary structures that cause hyperchromic effects and significantly alter the Raman intensity. ABSTRACT Raman spectra of RNA nucleotide strands extracted from 20 SARS‐CoV‐2 strains, including the original Japanese isolate, Alpha, Beta ...
Giuseppe Pezzotti, Yoshiki Yasukochi, Gianluca Angiola, Takaharu Ueno, Saki Ikegami, Rintaro Okawa, Tetsuya Adachi, Wenliang Zhu, Osam Mazda, Alfio Grillo, Koichiro Higasa, Kazu Okuma   +11 more
wiley   +1 more source

On Convoluted Forms of Multivariate Legendre-Hermite Polynomials with Algebraic Matrix Based Approach

Mathematics
The main purpose of this article is to construct a new class of multivariate Legendre-Hermite-Apostol type Frobenius-Euler polynomials. A number of significant analytical characterizations of these polynomials using various generating function techniques
Mumtaz Riyasat, Amal S. Alali, Shahid Ahmad Wani, Subuhi Khan   +3 more
doaj   +1 more source

Dimension Result for the Polynomial Algebra 𝔽2[x1,…,xn] as a Module over the Steenrod Algebra

International Journal of Mathematics and Mathematical Sciences, 2013
For n≥1, let P(n)=𝔽2[x1,…,xn] be the polynomial algebra in n variables xi, of degree one, over the field 𝔽2 of two elements. The mod-2 Steenrod algebra 𝒜 acts on P(n) according to well-known rules.
Mbakiso Fix Mothebe
doaj   +1 more source

Faber Polynomial Coefficients and Applications in Analytic Function Class

Journal of Mathematics
Through this paper, by using the subordination definition, the ℘-analogues Cătaş operator I℘nλ,I, complex order, and biunivalent functions with coefficients introduced by Faber polynomial expansion, we introduced the new class S℘,n∗f,λ,I,ξ,α,ϕ.
Samar Mohamed, Fatma Z. El-Emam
doaj   +1 more source

Data‐Driven and Physics‐Informed Modeling Perspectives for Soft Manipulators: From SINDy to Hybrid Intelligence

Advanced Science, EarlyView.
This Perspective charts the modeling landscape for soft manipulators, spanning sparse system identification, neural dynamics, physics‐informed models and hybrid intelligence. We examine how physics, data, sensing, adaptation and control can assume complementary roles within this landscape, and provide a framework for selecting modeling approaches ...
Wenbo Hui, Yunyi Wang, Teng Zhang, Yang Chen, Min Pan   +4 more
wiley   +1 more source