Results 21 to 30 of about 706 (184)
Families of subharmonic functions and separately subharmonic functions
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On McConnell’s inequality for functionals of subharmonic functions [PDF]
\textit{T. R. McConnell} [Indiana Univ. Math. J. 33, 289-303 (1984; Zbl 0508.31005)] showed that if u(x,t) is a non-negative subharmonic function defined on \({\mathbb{R}}_+^{n+1}=\{(x,t):\quad x\in {\mathbb{R}}^ n,\quad t>0\},\) and if \[ N(x)=\sup \{u(y,t):\quad (y,t)\in \Gamma_ 1(x)\}\quad and\quad S(x)=\iint_{(y,t)\in \Gamma_ 1(x)}t^{1-n}\Delta u(x,
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Ising machines are emerging as specialized hardware solvers for computationally hard optimization problems. This review examines five major platforms—digital CMOS, analog CMOS, emerging devices, coherent optics, and quantum systems—highlighting physics‐rooted advantages and shared bottlenecks in scalability and connectivity.
Hyunjun Lee, Joon Pyo Kim, Sanghyeon Kim
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Integral characteristics and distribution of roots of entire functions
We establish new relationships between the distribution of roots of entire functions and certain integral characteristics of the logarithms of the modules of these entire functions. These integral characteristics are constructed on the basis of arbitrary
E. B. Menshikova, B. N. Khabibullin
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Decoding Finely Tuned Gamma Oscillations in Chronic Deep Brain Stimulation for Parkinson's Disease
Abstract Background Finely tuned Gamma (FTG) activity—spontaneous narrowband Gamma oscillations (sFTG) or entrained to half the stimulation frequency (eFTG)—is typically linked to on‐medication states and dyskinesia in Parkinson's disease (PD), making it a potential physiomarker for adaptive deep brain stimulation (aDBS).
Marjolein Muller +8 more
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On growth majorants of subharmonic functions [PDF]
We describe growth majorants of subharmonic in R^m (m≥2) functions. To do this, we exceptionally reduce the problem to problems in the theory of positive monotonous functions.
Yu. S. Protsyk, Ya. V. Vasyl’kiv
doaj
In this work we develop the square integral estimates for the functions of n variables which are subharmonic with respect to some variables and for other remaining variables are superharmonic.
Muhammad Shoaib Saleem +4 more
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Linear Mechatronic Modeling of Rectangular Tank Sloshing Dynamics
ABSTRACT Sloshing dynamics in partially filled tanks can strongly influence system‐level behavior when fluid motion couples with rigid‐body dynamics. This paper presents a linear and acausal two‐dimensional sloshing model for rectangular tanks, based on the reformulation of established sloshing theory within a modular, multi‐domain modeling framework ...
Magnus Steinstø, Eilif Pedersen
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Integrals of Subharmonic Functions
See also Bull. Math. Soc. 19, 343-349 (1987; Zbl 0596.31003).
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ABSTRACT The rotor system of an electrically assisted turbocharger (EAT) is composed of multiple shaft components; The nonlinear connection and contact effects make it difficult to determine the system dynamic characteristics. To improve the modeling accuracy of EAT rotor system and evaluate the influence of contact between multi‐axis components and ...
Wenchao Liang +5 more
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