Results 51 to 60 of about 3,687,370 (267)

Some refinements of operator reverse AM-GM mean inequalities

open access: yesJournal of Inequalities and Applications, 2017
In this paper, we prove the operator inequalities as follows: Let A , B $A,B$ be positive operators on a Hilbert space with 0 < m ≤ A , B ≤ M $0 < m \le A,B \le M$ and M m ≤ 2.314 $\sqrt{\frac{M}{m}} \le2.314$ .
Jianming Xue
doaj   +1 more source

DRIVE‐SAFE: Data‐Driven Robustness and Informed Validation for Evolving Specifications via Formal Evaluation

open access: yesAdvanced Robotics Research, EarlyView.
DRIVE‐SAFE evaluates learning‐based, black‐box autonomous driving policies against evolving temporal safety requirements using Signal Temporal Logic robustness metrics. It aggregates distributional robustness measures with domain‐informed weights to guide iterative retraining.
Kristy Sakano   +3 more
wiley   +1 more source

Nonreciprocal Swarmalators With Reconfigurable and Controllable Formations for Robot Collectives

open access: yesAdvanced Robotics Research, EarlyView.
Nonreciprocal swarmalator interactions are enabled through control barrier functions to transform self‐organizing robot collectives into reconfigurable, constraint‐aware systems. Complex two‐ and three‐dimensional shapes, continuous morphing, obstacle‐aware navigation, collective splitting, and object transport emerge from modulating agent‐level ...
Kush Patel   +3 more
wiley   +1 more source

A three-point boundary value problem with an integral condition for a third-order partial differential equation

open access: yesAbstract and Applied Analysis, 2005
We prove the existence and uniqueness of a strong solution for a linear third-order equation with integral boundary conditions. The proof uses energy inequalities and the density of the range of the operator generated.
C. Latrous, A. Memou
doaj   +1 more source

Efficient Polarization‐Entangled Photon‐Pair Generation by a Fiber‐In‐Line van der Waals Material

open access: yesAdvanced Science, EarlyView.
Telecom‐wavelength polarization‐entangled photon pairs are generated in a van der Waals‐material‐integrated all‐fiber device via spontaneous parametric down‐conversion. The demonstrated fiberized quantum light source bridges emerging 2D nonlinear materials and practical quantum photonic systems, opening new opportunities for scalable fiber‐based ...
Jungseok Choi   +11 more
wiley   +1 more source

A New Hilbert-Type Linear Operator with a Composite Kernel and Its Applications

open access: yesJournal of Inequalities and Applications, 2010
A new Hilbert-type linear operator with a composite kernel function is built. As the applications, two new more accurate operator inequalities and their equivalent forms are deduced.
Zhong Wuyi
doaj  

Optimal exponents for Hardy–Littlewood inequalities for m-linear operators

open access: yesLinear Algebra and its Applications, 2017
20 ...
Aron, R. M.   +3 more
openaire   +3 more sources

Van der Waals Heterostructures for Next‐Generation Spintronics: Multiferroic‐Mediated Magnetoelectric Properties

open access: yesAdvanced Science, EarlyView.
As CMOS technology approaches fundamental energy limits, new paradigms for low‐power information processing are required. Magnetic systems are attractive for their spin transport, yet current‐induced magnetization control is energy inefficient. Multiferroic heterostructures enable energy‐efficient electric field manipulation of magnetism.
Donghyeon Lee   +3 more
wiley   +1 more source

Boundary value problem with integral conditions for a linear third-order equation

open access: yesJournal of Applied Mathematics, 2003
We prove the existence and uniqueness of a strong solution for a linear third-order equation with integral boundary conditions. The proof uses energy inequalities and the density of the range of the generated operator.
M. Denche, A. Memou
doaj   +1 more source

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