Results 51 to 60 of about 28,850 (259)
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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MolMiner: Toward Controllable, Three‐Dimensional‐Aware, Fragment‐Based Molecular Design
MolMiner is a fragment‐based, geometry‐aware, and order‐agnostic generative model for molecular design with strong inductive biases. Using symmetry‐aware fragment assembly, dynamic three‐dimensional geometry, and multi‐property conditioning, MolMiner enables interpretable and controllable molecular generation.
Raul Ortega‐Ochoa +2 more
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Inequalities for ratios of functionals of harmonic functions [PDF]
We show that the ratios ( A ( u )/ N ( u )) k A ( u ) and (
Fefferman, Ronald Raphaël +3 more
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Programmable Flocks: Hierarchical Swarm Control via Dynamic Parameter Injection
We present a method for the control of robot swarms which allows the shaping and the translation of patterns of simple robots (“smart particles”), using two types of devices. These two types represent a hierarchy: a larger group of simple, oblivious robots (which we call the workers) that is governed by simple local attraction forces and a smaller ...
Vivek Shankar Varadharajan +1 more
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Coefficient Inequalities of Functions Associated with Petal Type Domains
In the theory of analytic and univalent functions, coefficients of functions’ Taylor series representation and their related functional inequalities are of major interest and how they estimate functions’ growth in their specified domains. One
Sarfraz Nawaz Malik +4 more
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The phase discontinuity problem—where the cyclic nature of phase angles causes catastrophic errors near the ±π boundary—is a fundamental obstacle in learning‐based reconfigurable intelligent surface (RIS) optimization. A phase‐aware hybrid CNN–LSTM framework resolves this by decomposing phase predictions into sine–cosine components, mapping circular ...
Seda Savaşçı Şen +3 more
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A family of functional inequalities: Łojasiewicz inequalities and displacement convex functions
For displacement convex functionals in the probability space equip\-ped with the Monge-Kantorovich metric we prove the equivalence between the gradient and functional type Łoja\-sie\-wicz inequalities. \chg{We also discuss the more general case of $λ$-convex functions and we provide a general convergence theorem for the corresponding gradient dynamics.
Bolte, Jérôme, Blanchet, Adrien
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ABSTRACT The rapid evolution of the Internet of Things (IoT) has significantly advanced the field of electrocardiogram (ECG) monitoring, enabling real‐time, remote, and patient‐centric cardiac care. This paper presents a comprehensive survey of AI assisted IoT‐based ECG monitoring systems, focusing on the integration of emerging technologies such as ...
Amrita Choudhury +2 more
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Refinement of Jensen’s inequality and estimation of f- and Rényi divergence via Montgomery identity
Jensen’s inequality is important for obtaining inequalities for divergence between probability distribution. By applying a refinement of Jensen’s inequality (Horváth et al. in Math. Inequal. Appl.
Khuram Ali Khan +3 more
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Dimensions of the AI Divide: Digital Inequality and Psychological Consequences
ABSTRACT Artificial intelligence (AI) has become a foundational component of contemporary social, economic, and political life. Yet, the ways in which AI reshapes patterns of exclusion beyond questions of access and technical capability remain insufficiently theorized.
Christos Papaioannou
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