Results 61 to 70 of about 11,165 (303)

A central part interpolation scheme for log-singular integral equations

Mathematical Modelling and Analysis, 2013
A fully discrete high order method is constructed and justified for a class of Fredholm integral equations of the second kind with kernels that may have boundary and logarithmic diagonal singularities.
Kerli Orav-Puurand
doaj   +1 more source

Null octagon from Deift-Zhou steepest descent

Nuclear Physics B, 2022
A special class of four-point correlation functions in the maximally supersymmetric Yang-Mills theory is given by the square of the Fredholm determinant of a generalized Bessel kernel. In this note, we re-express its logarithmic derivatives in terms of a
A.V. Belitsky
doaj   +1 more source

Allosteric DNAzyme‐Enabled Sensitive and Multiplex Detection of Biomarkers for Rapid Diagnosis of Urinary Tract Infections

Advanced Science, EarlyView.
A catalytic allosteric DNAzyme assay (SMART) is developed by engineering DNAzyme into a unimolecular biosensor, enabling highly sensitive and multiplex detection of small molecules and nucleic acids. SMART enables extraction‐free, one‐pot, one‐step, isothermal, and cost‐effective detection of biological markers, achieving >95% accuracy for rapid ...
Yanzhe Shen, Chenzhi Shi, Xiaowei Ma, Pengfei Hou, Haomin Zhang, Juanxiu Qin, Li Pan, Guilin Li, Lifei Gao, Qian Ma, Donglei Yang, Min Li, Pengfei Wang   +12 more
wiley   +1 more source

Integrals of weighted maximal logarithmic kernels on bounded Vilenkin groups [PDF]

Periodica Mathematica Hungarica, 2012
Let \(\{m_k\}_{k=0}^\infty\) be a sequence of natural numbers that are greater than \(1\), let \(M_0=1\), \(M_{k+1}=M_km_k\), \(k\geq 1\), and let \(\mathbb Z_{m_k}\) be the \(m_k\)-th cyclic group with discrete topology and measure \(\mu(x)=1/m_k\) for all \(x\in \mathbb Z_{m_k}\). Then \(G_m:=\prod^\infty_{k=0} \mathbb Z_{m_k}\) is a compact Vilenkin
István Mezö, Károly Nagy
openaire   +2 more sources

Enhanced Stability in Zero‐Excess Li‐Metal Batteries via Prelithiated Carbon Nanofiber Interlayers

Advanced Science, EarlyView.
Carbon nanofibers carbonized at 700°C show Li metal deposition predominantly on the side facing the Cu current collector. During delithiation, Li agglomerates remain as inactive lithium on the fiber surface. This behavior can be changed by a modified n‐Buli prelithiation without a washing step, suppressing dead Li formation and therefore enabling ...
Sandro Schöner, Marius Ast, Vera Michaela Barysch, Rebecca Erkes, Jule Meier‐Merziger, Pengfei Cao, Joachim Mayer, Josef Granwehr, Fabian Jeschull, Hermann Tempel, Shicheng Yu, Rüdiger‐A. Eichel   +11 more
wiley   +1 more source

Quadrature error estimates for kernels with logarithmic singularity

Computers & Mathematics with Applications
Boundary integral methods are a powerful tool to solve partial differential equations by reformulating them as integral equations over the boundary of the domain. When dealing with boundary integral methods, and in particular with the numerical integration of layer potentials, it is essential to estimate the magnitude of the error associated with the ...
Ismail Labaali, Maria Rosaria Lancia, Chiara Sorgentone   +2 more
openaire   +2 more sources

De Novo Design of Membrane‐Targeting Antimicrobial Peptides Against Gram‐Negative Bacteria Using a Generative Artificial Intelligence Framework

Advanced Science, EarlyView.
Antimicrobial resistance caused by Gram‐negative bacteria remains difficult to overcome due to the protective outer membrane. To address this challenge, a multi‐condition constrained generative AI framework, GenMTAMP is proposed for de novo membrane‐targeting antimicrobial peptide design by integrating physicochemical and spatial structure descriptors.
Jingxiao Yu, Da‐Wen Sun, QingYi Wei, Yibing Zhang, Jidong Tang, Hongbin Pu   +5 more
wiley   +1 more source

Toeplitz matrix and product Nystrom methods for solving the singular integral equation

Le Matematiche, 2002
The Toeplitz matrix and the product Nystrom methods are applied to an integral equation of the second kind. We consider two cases: logarithmic kernel and Hilbert kernel.
M. A. Abdou, Khamis J. Mohamed, A. S. Ismal   +2 more
doaj  

Six-dimensional one-loop divergences in quantum gravity from the N $$ \mathcal{N} $$ = 4 spinning particle

Journal of High Energy Physics, 2023
In this work, we investigate the computation of the counterterms necessary for the renormalization of the one-loop effective action of quantum gravity using both the worldline formalism and the heat kernel method.
Fiorenzo Bastianelli, Francesco Comberiati, Filippo Fecit, Fabio Ori   +3 more
doaj   +1 more source

Prediction of Structural Stability of Layered Oxide Cathode Materials: Combination of Machine Learning and Ab Initio Thermodynamics

Advanced Energy Materials, EarlyView.
In this work, we developed a phase‐stability predictor by combining machine learning and ab initio thermodynamics approaches, and identified the key factors determining the favorable phase for a given composition. Specifically, a lower TM ionic potential, higher Na content, and higher mixing entropy favor the O3 phase.
Liang‐Ting Wu, Milica Zdravković, Dijana Milosavljević, Konstantin Köster, Olivier Guillon, Jyh‐Chiang Jiang, Payam Kaghazchi   +6 more
wiley   +1 more source