Results 41 to 50 of about 2,002 (253)

On Some Arithmetical Properties of the Genocchi Numbers and Polynomials

Advances in Difference Equations, 2008
We investigate the properties of the Genocchi functions and the Genocchi polynomials. We obtain the Fourier transform on the Genocchi function. We have the generating function of (h,q)-Genocchi polynomials.
Kyoung Ho Park, Young-Hee Kim
doaj   +1 more source

ON BINARY CORRELATIONS OF MULTIPLICATIVE FUNCTIONS

Forum of Mathematics, Sigma, 2018
We study logarithmically averaged binary correlations of bounded multiplicative functions $g_{1}$ and $g_{2}$ . A breakthrough on these correlations was made by Tao, who showed that the
JONI TERÄVÄINEN
doaj   +1 more source

A Real‐Data‐Driven Framework for Evaluating Differential Transcript Usage Methods Across Long‐Read Bulk, Single‐Cell, and Spatial Transcriptomics

Advanced Science, EarlyView.
Grounded in real biological RNA‐seq data, the framework benchmarks ten differential transcript usage (DTU) methods across short‐read bulk, long‐read bulk, long‐read single‐cell, and long‐read spatial transcriptomics. By integrating reference transcript sets with ranked DTU results, the Transcript Set Enrichment Score (TSES) identifies data‐type ...
Chenxing Zhang, Jun Liu, Qi Zhao, Huilong Yin, Angang Yang, Minhua Zheng, Rui Zhang   +6 more
wiley   +1 more source

On the generalized Cochrane sum with Dirichlet characters

AIMS Mathematics, 2023
<abstract><p>In this paper, we defined a new generalized Cochrane sum with Dirichlet characters, and gave the upper bound of the generalized Cochrane sum with Dirichlet characters. Moreover, we studied the asymptotic estimation problem of the mean value of the generalized Cochrane sum with Dirichlet characters and obtained a sharp ...
Jiankang Wang, Zhefeng Xu, Minmin Jia
openaire   +2 more sources

New Approach to q-Euler Numbers and Polynomials

Advances in Difference Equations, 2010
We give a new construction of the q-extensions of Euler numbers and polynomials. We present new generating functions which are related to the q-Euler numbers and polynomials.
Seog-Hoon Rim, Lee-Chae Jang, Young-Hee Kim, Taekyun Kim   +3 more
doaj   +1 more source

Unraveling the Effects of Depolarization in Ultrathin Barium Titanate

Advanced Science, EarlyView.
This article employs synchrotron‐based spectroscopy, time‐resolved electrical measurements, and phase‐field simulations to establish reverse‐domain formation as the mechanism of polarization loss in ultrathin BaTiO3${\rm BaTiO}_3$ films as a critical obstacle to low‐voltage ferroelectric devices.
Thomas Lee, Prabhat Kumar, Christoph Klewe, Pravin Kavle, Padraic Shafer, Zhi (Jackie) Yao, Lane W. Martin   +6 more
wiley   +1 more source

Determinants of Knowledge and Usage of Generative Artificial Intelligence in Agricultural Extension: Evidence From Tennessee Extension Personnel

Agribusiness, EarlyView.
ABSTRACT This paper examines the determinants of generative AI (GenAI) knowledge and usage among agricultural extension professionals. Drawing on survey data from agricultural extension personnel in Tennessee, we employ regression analyses and latent Dirichlet allocation (LDA) for topic modeling of open‐ended responses to study the knowledge and usage ...
Abdelaziz Lawani, Jason de Koff, James Muriuki, Anna‐Liisa Ihuhwa   +3 more
wiley   +1 more source

Joint SAR Image Time Series and PSInSAR Data Analytics: An LDA Based Approach

Remote Sensing, 2018
Due to the constant increase in Earth Observation (EO) data collections, the monitoring of land cover is facilitated by the temporal diversity of the satellite images datasets.
Corina Văduva, Cosmin Dănișor, Mihai Datcu   +2 more
doaj   +1 more source

Composition‐Aware Cross‐Sectional Integration for Spatial Transcriptomics

Advanced Intelligent Discovery, EarlyView.
Multi‐section spatial transcriptomics demands coherent cell‐type deconvolution, domain detection, and batch correction, yet existing pipelines treat these tasks separately. FUSION unifies them within a composition‐aware latent framework, modeling reads as cell‐type–specific topics and clustering in embedding space.
Qishi Dong, Zijian Huang, Xuanwu Wang, Zhenghui Feng, Wei Liu, Bingding Huang   +5 more
wiley   +1 more source

The concept of “character” in Dirichlet’s theorem on primes in an arithmetic progression [PDF]

Archive for History of Exact Sciences, 2013
In 1837, Dirichlet proved that there are infinitely many primes in any arithmetic progression in which the terms do not all share a common factor. We survey implicit and explicit uses ofDirichlet characters in presentations of Dirichlet’s proof in the nineteenth and early twentieth centuries, with an eye toward understanding some of the pragmatic ...
Avigad, Jeremy, Morris, Rebecca
openaire   +2 more sources