Results 41 to 50 of about 105,191 (283)

Reverse of the Triangle Inequality in Hilbert C*-Modules

International Journal of Analysis and Applications, 2015
In this paper we prove the reverse of triangle inequality via Selberg's  inequalities in the framework of Hilbert  C*-modules.
Nordine Bounader, Abdellatif Abdellatif Chahbi, Samir Kabbaj   +2 more
doaj   +2 more sources

Convergence in Fuzzy Semi-Metric Spaces

Mathematics, 2018
The convergence using the fuzzy semi-metric and dual fuzzy semi-metric is studied in this paper. The infimum type of dual fuzzy semi-metric and the supremum type of dual fuzzy semi-metric are proposed in this paper. Based on these two types of dual fuzzy
Hsien-Chung Wu
doaj   +1 more source

A Physics Constrained Machine Learning Pipeline for Young's Modulus Prediction in Multimaterial Hyperelastic Cylinders Guided by Contact Mechanics

Advanced Intelligent Discovery, EarlyView.
A physics‐guided machine learning framework estimates Young's modulus in multilayered multimaterial hyperelastic cylinders using contact mechanics. A semiempirical stiffness law is embedded into a custom neural network, ensuring physically consistent predictions. Validation against experimental and numerical data on C.
Christoforos Rekatsinas, Panagiotis Krokidas, Vasileios Vavourakis, Clara Essmann, George Giannakopoulos   +4 more
wiley   +1 more source

Inequalities that sharpen the triangle inequality for sums of $N$ functions in $L^p$ [PDF]

, 2019
We study $L^p$ inequalities that sharpen the triangle inequality for sums of $N$ functions in $L^p$
Carlen, Eric A., Frank, Rupert L., Lieb, Elliott H.   +2 more
core   +1 more source

“It Is Much Safer to Be Sparse than Connected”: Safe Control of Robotic Swarm Density Dynamics with PDE Optimization with State Constraints

Advanced Intelligent Systems, EarlyView.
This paper proposes a novel control framework to ensure safety of a robotic swarm. A feedback optimization controller is capable of driving the swarm toward a target density while keeping risk‐zone exposure below a safety threshold. Theory and experiments show how safety is more effectively achieved for sparsely connected swarms.
Longchen Niu, Gennaro Notomista
wiley   +1 more source

MusicSwarm: Biologically Inspired Intelligence for Music Composition

Advanced Intelligent Systems, EarlyView.
Biologically inspired swarms of frozen foundation models self‐organize to compose complex music without fine‐tuning. By coordinating through stigmergic signals, decentralized agents dynamically evolve specialized roles and adapt to solve complex tasks.
Markus J. Buehler
wiley   +1 more source

Geometric extension of Clauser–Horne inequality to more qubits

New Journal of Physics, 2018
We propose a geometric multiparty extension of Clauser–Horne (CH) inequality. The standard CH inequality can be shown to be an implication of the fact that statistical separation between two events, A and B , defined as $P(A\oplus B)$ , where $A\oplus B=(
Arijit Dutta, Tschang-Uh Nahm, Jinhyoung Lee, Marek Żukowski   +3 more
doaj   +1 more source

Maximizing Neumann fundamental tones of triangles

, 2009
We prove sharp isoperimetric inequalities for Neumann eigenvalues of the Laplacian on triangular domains. The first nonzero Neumann eigenvalue is shown to be maximal for the equilateral triangle among all triangles of given perimeter, and hence among ...
B. A. Siudeja, Bandle C., Chavel I., Henrot A., Hersch J., Kesavan S., Lamé M. G., Mathews J., Nadirashvili N., Pólya G., R. S. Laugesen, Szegő G., Weinberger H. F.   +12 more
core   +1 more source

AI‐Assisted IoT‐Enabled ECG Monitoring: Integrating Foundational and Generative AI Tools for Sustainable Smart Healthcare—Recent Trends

AI &Innovation, EarlyView.
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, Kandarpa Kumar Sarma, Lachit Dutta   +2 more
wiley   +1 more source

A Potpourri of Schwarz Related Inequalities in Inner Product Spaces [PDF]

, 2004
In this paper we obtain some new Schwarz related inequalities in inner product spaces over the real or complex number field.
Dragomir, Sever Silvestru
core   +5 more sources