Results 31 to 40 of about 114,475 (241)
Local interpolation in Hilbert spaces of Dirichlet series
, 2006 We denote by $\Hp$ the Hilbert space of ordinary Dirichlet series with square-summable coefficients. The main result is that a bounded sequence of points in the half-plane $\sigma >1/2$ is an interpolating sequence for $\Hp$ if and only if it is an ...
Olsen, Jan-Fredrik, Seip, Kristian
core +1 more source
Universal approximation theorem for Dirichlet series
International Journal of Mathematics and Mathematical Sciences, 2006 The paper deals with an extension theorem by Costakis and Vlachou on simultaneous approximation for holomorphic function to the setting of Dirichlet series, which are absolutely convergent in the right half of the complex plane.
O. Demanze, A. Mouze
doaj +1 more source
Proton FLASH Exposure Preserves Gut Commensal Microbiomes and Spares Intestinal Stem Cells
Advanced Science, EarlyView.This study highlights the role of Proton FLASH abdominal irradiation in sparing of intestinal stem cells and preservation of key gut microbial population resulting minimization of radiation toxicity in intestinal epithelium in mice. Our findings support the potential of Proton FLASH to improve the therapeutic ratio for abdominal radiation exposure ...
Rishi Man Chugh +11 more
wiley +1 more source
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 +3 more
wiley +1 more source
Generalized Ritt type and generalized Ritt weak type connected growth properties of entire functions represented by vector valued Dirichlet series [PDF]
Sahand Communications in Mathematical Analysis, 2017 In this paper, we introduce the idea of generalized Ritt type and generalised Ritt weak type of entire functions represented by a vector valued Dirichlet series.
Sanjib Kumar Datta +2 more
doaj
Joint weighted limit theorems for general dirichlet series
Mathematical Modelling and Analysis, 2011 In the paper,two joint weighted limit theorems in the sense of weak convergence of probability measures on the complex plane for general Dirichlet series are obtained.
Jonas Genys, Antanas Laurinčikas
doaj +1 more source
Advanced Intelligent Discovery, EarlyView.We propose a residual‐based adversarial‐gradient moving sample (RAMS) method for scientific machine learning that treats samples as trainable variables and updates them to maximize the physics residual, thereby effectively concentrating samples in inadequately learned regions.
Weihang Ouyang +4 more
wiley +1 more source
Subconvexity for a double Dirichlet series
, 2009 For Dirichlet series roughly of the type $Z(s, w) = sum_d L(s, chi_d) d^{-w}$ the subconvexity bound $Z(s, w) \ll (sw(s+w))^{1/6+\varepsilon}$ is proved on the critical lines $\Re s = \Re w = 1/2$. The convexity bound would replace 1/6 with 1/4.
Heath-Brown, Valentin Blomer
core +1 more source
On Dirichlet series similar to Hadamard compositions in half-plane
Karpatsʹkì Matematičnì Publìkacìï, 2023 Let $F(s)=\sum\limits_{n=1}^{\infty}a_n\exp\{s\lambda_n\}$ and $F_j(s)=\sum\limits_{n=1}^{\infty}a_{n,j}\exp\{s\lambda_n\},$ $j=\overline{1,p},$ be Dirichlet series with exponents $0\le\lambda_n\uparrow+\infty,$ $n\to\infty,$ and the abscissas of ...
A.I. Bandura +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 +5 more
wiley +1 more source