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Multidimensional negative definite functions on the product of commutative hypergroups

open access: yesKuwait Journal of Science, 2016
The main aim of this paper is to give the integral representations for the so called multidimensional negative definite functions defined on the product of commutative hypergroups.
Hossam A Ghany
doaj  

Laser‐Assisted Processing and Modification of Bioactive Glasses: A Review

open access: yesAdvanced Healthcare Materials, EarlyView.
Laser technologies provide powerful tools to process and transform bioactive glasses for advanced biomedical applications. This review discusses laser‐matter interaction mechanisms, laser surface engineering, and laser‐assisted fabrication of scaffolds and nanofibers.
Antonio Riveiro   +8 more
wiley   +1 more source

Stahl's Theorem (aka BMV Conjecture): Insights and Intuition on its Proof

open access: yes, 2017
The Bessis-Moussa-Villani conjecture states that the trace of $\exp(A-tB)$ is, as a function of the real variable $t$, the Laplace transform of a positive measure, where $A$ and $B$ are respectively a hermitian and positive semi-definite matrix. The long
Clivaz, Fabien
core   +1 more source

Artificial Intelligence‐Assisted Workflow for Transmission Electron Microscopy: From Data Analysis Automation to Materials Knowledge Unveiling

open access: yesAdvanced Materials, EarlyView.
AI‐Assisted Workflow for (Scanning) Transmission Electron Microscopy: From Data Analysis Automation to Materials Knowledge Unveiling. Abstract (Scanning) transmission electron microscopy ((S)TEM) has significantly advanced materials science but faces challenges in correlating precise atomic structure information with the functional properties of ...
Marc Botifoll   +19 more
wiley   +1 more source

Strictly Positive Definite Functions on Spheres [PDF]

open access: yesProceedings of the American Mathematical Society, 1992
A sufficient condition is given for the strict positive-definiteness of a real, continuous function on the m m -dimensional sphere.
Xu, Yuan, Cheney, E. W.
openaire   +2 more sources

Multiobjective Codesign Optimization of a Planar Pneumatic Artificial Muscle‐Based Snake‐Like Robot for Enhanced Agility and Energy Efficiency

open access: yesAdvanced Robotics Research, EarlyView.
A codesign multiobjective optimization framework was developed to enhance the morphology and controller of a snake‐like robot driven by artificial muscles. It improved planar locomotion, agility, and power efficiency. The approach optimized link geometry and controller gains, revealing that shorter muscles near joints and longer linkages maximize ...
Ayla Valles, Mahdi Haghshenas‐Jaryani
wiley   +1 more source

On the function TreH+itK

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2002
We prove, for two free semicircularly distributed selfadjoint elements a and b in a type II1 von Neumann algebra with faithful trace τ, that the function t∈ℝ↦τ(exp(a+itb)) is positive definite.
Mark Fannes, Dénes Petz
doaj   +1 more source

Non-positivity of the Wigner function and bounds on associated integrals

open access: yes, 2003
The Wigner function shares several properties with classical distribution functions on phase space, but is not positive-definite. The integral of the Wigner function over a given region of phase space can therefore lie outside the interval [0,1].
Bracken, A. J., Ellinas, D., Wood, J. G.
core   +1 more source

Formation Control of Multi‐Agent System with Local Interaction and Artificial Potential Field

open access: yesAdvanced Robotics Research, EarlyView.
This article proposes a local interaction‐based formation control method for Multi‐Agent system, integrating consensus and leader‐follower strategies with a stress response mechanism—artificial potential field to reduce communication overhead and enable obstacle avoidance. Experimental results on triangular, square, and hexagonal formations confirm its
Luoyin Zhao   +3 more
wiley   +1 more source

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