Results 41 to 50 of about 1,934,847 (269)

A Bauer-Hausdorff Matrix Inequality [PDF]

Abstract and Applied Analysis, 2013
We present a biorthogonal process for two subspaces ofℂn. Applying this process, we derive a matrix inequality, which generalizes the Bauer-Hausdorff inequality for vectors and includes the Wang-IP inequality for matrices. Meanwhile, we obtain its equivalent matrix inequality.
Yan, Zizong, Wu, Shanhe
openaire   +3 more sources

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

Advanced 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, Seongju Ha, Seungjae Lim, Joohyeon Ahn, Jaekyoung Kim, Jong Hyuk Yim, Nam Hun Park, Youngdong Yoo, Jae‐Ung Lee, Hee Su Park, Sang Min Lee, Dong‐Il Yeom   +11 more
wiley   +1 more source

Enhanced Young-type inequalities utilizing Kantorovich approach for semidefinite matrices

Open Mathematics
This article introduces new Young-type inequalities, leveraging the Kantorovich constant, by refining the original inequality. In addition, we present a range of norm-based inequalities applicable to positive semidefinite matrices, such as the Hilbert ...
Bani-Ahmad Feras, Rashid Mohammad Hussein Mohammad   +1 more
doaj   +1 more source

New Results on Stability of Linear Discrete-Time Systems With Time-Varying Delay

IEEE Access, 2020
This paper is concerned with the stability problem for linear discrete-time systems with a time-varying delay. Some relations between two general free-matrix-based summation inequalities are discussed.
Jun Chen, Xiangyong Chen
doaj   +1 more source

An Introduction to Matrix Concentration Inequalities [PDF]

Foundations and Trends® in Machine Learning, 2015
Random matrices now play a role in many areas of theoretical, applied, and computational mathematics. Therefore, it is desirable to have tools for studying random matrices that are flexible, easy to use, and powerful. Over the last fifteen years, researchers have developed a remarkable family of results, called matrix concentration inequalities, that ...
openaire   +4 more sources

From Sourcing to End‐of‐Life: Sustainability Challenges and Opportunities in Organic Bioelectronics

Advanced Science, EarlyView.
Organic bioelectronics bridges biology and electronics using organic mixed ionic/electronic conductors. This Perspective addresses sustainability across the full lifecycle of organic bioelectronic materials and devices, offering a framework to guide material sourcing, synthesis, fabrication, application, and end‐of‐life strategies toward bioelectronic ...
Gwennaël Dufil, Marine Batista, Andrea Bionda, Erica Zeglio   +3 more
wiley   +1 more source

Novel Robust Stability Criteria for Uncertain Stochastic Neural Networks with Time-Varying Delay [PDF]

International Journal of Computational Intelligence Systems, 2009
This paper considers the robust stability analysis problem for a class of uncertain stochastic neural net- works with time-varying delay. Based on the Lyapunov functional method, and by resorting to the new technique for estimating the upper bound of the
Yunrui Guo, Yonggang Chen, Wenlin Li
doaj   +1 more source

Leggett–Garg-like Inequalities from a Correlation Matrix Construction

Quantum Reports, 2023
The Leggett–Garg Inequality (LGI) constrains, under certain fundamental assumptions, the correlations between measurements of a quantity Q at different times.
Dana Ben Porath, Eliahu Cohen
doaj   +1 more source

Dynamically Tunable Exciton‐Photon Coupling via Multi‐Physics Field in Transition Metal Dichalcogenide Microcavities

Advanced Science, EarlyView.
Dynamic microcavities provide reversible control over exciton‐photon coupling in two‐dimensional TMDs through piezoelectric, electrical, thermal, and all‐optical tuning. By reshaping detuning, Rabi splitting, and polariton composition, these strategies enable adaptable polaritonic functions, including optical switching, polariton lasing, and ...
Jingwen Zhang, Wenqi Qian, Haiyi Liu, Guangyi Tao, Hai Liu, Yifan Zhang, Pengfei Qi, Zheyu Fang   +7 more
wiley   +1 more source

MATRIX POWER MEANS AND PÓLYA--SZEGÖ TYPE INEQUALITIES [PDF]

Surveys in Mathematics and its Applications, 2020
t has been shown that if μ is a compactly supported probability measure on Mn+, then for every unit vector η∈ℂn, there exists a compactly supported probability measure (denoted by on ℝ+ so that the inequality ≤ Pt() (t∈(0,1]) holds. In particular,
Mohsen Kian , Fatemeh Rashid
doaj