Results 61 to 70 of about 4,202,898 (279)

The growth of Dirichlet series [PDF]

open access: yes, 2012
summary:We define Knopp-Kojima maximum modulus and the Knopp-Kojima maximum term of Dirichlet series on the right half plane by the method of Knopp-Kojima, and discuss the relation between them.
Gu, Zhendong, Sun, Daochun
core   +1 more source

Advanced Deep Learning and Hybrid Architectures in Biomedical Data Analysis for Advances in Medicine

open access: yesMedicine Advances, EarlyView.
This review summarizes AI methods for biomedical imaging and clinical data analysis. Deep learning and multimodal models improve feature learning and diagnostic accuracy. Future progress requires explainable and generalizable AI for precision medicine.
Lifeng Li   +4 more
wiley   +1 more source

Value Distribution of General Dirichlet series. VI

open access: yesNonlinear Analysis, 2005
In the paper a limit theorem in the sense of weak convergence of probability measures on the complex plane for a new class of general Dirichlet series is obtained.
A. Laurinčikas
doaj   +1 more source

A Phase‐Field Model for Quasi‐Dynamic Rupture Nucleation and Propagation of In‐Plane Faults

open access: yesInternational Journal for Numerical and Analytical Methods in Geomechanics, EarlyView.
ABSTRACT Computational modeling of faulting processes is an essential tool for understanding earthquake mechanics but remains challenging due to the structural and material complexities of fault zones. The phase‐field method has recently enabled unified modeling of fault propagation and off‐fault damage within a fracture‐mechanics‐based framework ...
Fan Fei   +3 more
wiley   +1 more source

Perturbed Dirichlet Series and the Difference Operator

open access: yesAxioms
The most well-known perturbed Dirichlet series is the Hurwitz zeta-function. Its analytic continuation via the binomial expansion has been studied extensively, beginning with Wilton’s work.
Nianlian Wang   +2 more
doaj   +1 more source

On Joint Distribution of General Dirichlet Series

open access: yesNonlinear Analysis, 2003
In the paper a joint limit theorem in the sense of the weak convergence in the space of meromorphic functions for general Dirichlet series is proved under weaker conditions as in [1].
J. Genys, A. Laurinčikas
doaj   +1 more source

An Elasto–Plastic Hydro–Mechanical Model for Analyzing the Swelling Behavior of Heterogeneous Clay–Sulfate Rocks

open access: yesInternational Journal for Numerical and Analytical Methods in Geomechanics, EarlyView.
ABSTRACT Swelling of clay‐sulfate rocks is a concern in geotechnical engineering that can damage infrastructure. In the historic town of Staufen in southwest Germany, geothermal drilling into a swellable anhydrite‐bearing clay formation resulted in water inflow and subsequent swelling, triggering ground heave and damage to more than 250 houses.
Reza Mahmoudi Kouhi   +4 more
wiley   +1 more source

In Situ Atmospheric Plasma Treatment Enables First‐Layer Adhesion of PEEK on Borosilicate Glass for FDM‐Printed Non‐Assembly Mechanisms

open access: yesPolymer Engineering &Science, EarlyView.
A printhead‐mounted plasma nozzle activates the PEEK melt and the borosilicate print‐bed at the instant of contact. Only this simultaneous in‐situ activation of both interfaces yields reliable first‐layer adhesion (0.22 MPa). ABSTRACT Fused deposition modeling of poly‐ether‐ether‐ketone (PEEK) requires a high‐temperature build plate, yet PEEK does not ...
Paul Sager   +3 more
wiley   +1 more source

Generalized and modified orders of growth for Dirichlet series absolutely convergent in a half-plane

open access: yesМатематичні Студії
Let $\lambda=(\lambda_n)_{n\in\mathbb{N}_0}$ be a non-negative sequence increasing to $+\infty$, $\tau(\lambda)=\varlimsup_{n\to\infty}(\ln n/\lambda_n)$, and $\mathcal{D}_0(\lambda) $ be the class of all Dirichlet series of the form $F(s)=\sum_{n=0 ...
P. V. Filevych, O. B. Hrybel
doaj   +1 more source

Functional equation of a special Dirichlet series

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 1987
In this paper we study the special Dirichlet series L(s)=23∑n=1∞sin(2πn3)n−s,  s∈C This series converges uniformly in the half-plane Re(s)>1 and thus represents a holomorphic function there.
Ibrahim A. Abou-Tair
doaj   +1 more source

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