Results 71 to 80 of about 59,248 (235)

Strictly Positive Definite Functions

Journal of Approximation Theory, 1996
A complex-valued continuous function defined on \(\mathbb{R}\) is said to be strictly positive definite on \(\mathbb{R}\) if the \(n\) by \(n\) matrix \((f(x_i- x_j))\) is positive definite for all choices of pairwise distinct points \(x_1,x_2,\dots,x_n\in\mathbb{R}\), and all \(n\geq 1\).
openaire   +1 more source

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

Advanced 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, Zheping Yan, Yuqing Wang, Raye Chen‐Hua Yeow   +3 more
wiley   +1 more source

Positivity of convolution quadratures generated by nonconvex sequences

Comptes Rendus. Mathématique
The positive definiteness of real quadratic forms of convolution type plays an important role in the stability analysis of time-stepping schemes for nonlocal models.
Karaa, Samir
doaj   +1 more source

Operator equations and Moyal products -- metrics in quasi-hermitian quantum mechanics

, 2005
The Moyal product is used to cast the equation for the metric of a non-hermitian Hamiltonian in the form of a differential equation. For Hamiltonians of the form $p^2+V(ix)$ with $V$ polynomial this is an exact equation.
Bender, Bender, Bender, Bender, Bratteli, Curtright, Dobaczewski, Dobaczewski, Dobaczewski, F.G. Scholtz, Fairlie, Fairlie, Geyer, Geyer, H.B. Geyer, Jones, Mostafazadeh, Mostafazadeh, Mostafazadeh, Mostafazadeh, Moyal, Scholtz, Swanson, Wigner   +23 more
core   +1 more source

Multicohort Validation of Gut Microbiome Signatures for Cholangiocarcinoma Diagnosis and Functional Characterization of Bifidobacterium Pseudocatenulatum

Advanced Science, EarlyView.
This study analyzes gut bacteria in cholangiocarcinoma patients, revealing distinct microbial signatures that enable accurate disease detection. Species‐based diagnostic models achieved over 98% accuracy in identifying cholangiocarcinoma and distinguished it from other liver diseases. The research demonstrates that specific beneficial bacteria suppress
Benchen Rao, Jianwen Jiang, Ruiqing Zhang, Dongya Zhang, Chenchen Zhang, Ang Li, Haifeng Lu, Hua Zhang, Lin Zhou, Wenzhi Guo, Peihao Wen, Jianfeng Xue, Jie Pan, Tuerganaili Aji, Zhou Lan, Xianzhi Jiang, Shusen Zheng, Zujiang Yu, Zhigang Ren   +18 more
wiley   +1 more source

On the sign definiteness of Liapunov functionals and stability of a linear delay equation

Electronic Journal of Qualitative Theory of Differential Equations, 1998
In this paper we give a new definition of the positive-definiteness of the Liapunov functional involved in the stability and asymptotic stability investigation.
L. B. Knyazhishche, V. A. Scheglov
doaj   +1 more source

The probability distribution of the number of electron-positron pairs produced in a uniform electric field

, 2012
The probability-generating function of the number of electron-positron pairs produced in a uniform electric field is constructed. The mean and variance of the numbers of pairs are calculated, and analytical expressions for the probability of low numbers ...
A. I. Nikishov, A. I. Nikishov, A. I. Nikishov, G. V. Dunne, M. I. Krivoruchenko, N. B. Narozhnyi, N. B. Narozhnyi, S. L. Lebedev, S. L. Lebedev, V. I. Ritus, V. I. Ritus, V. I. Ritus, W. Dittrich   +12 more
core   +1 more source

Autoimmune Encephalitis in Acute Care—Pathology, Diagnosis, and Management

Advanced Science, EarlyView.
ABSTRACT Autoimmune encephalitis (AE) is characterized by immune‐mediated inflammation of the brain parenchyma, presenting with various neurological syndromes, including but not limited to seizures, altered consciousness, neuropsychiatric symptoms, and movement disorders.
Suneesh Thilak, David Okoh, William Scotton, Shanika Samarasekera, Vikram Patil, Suresh Renukappa, Andrew Macduff, Subashini Suresh, Rajeev Krishnadas, Tonny Veenith   +9 more
wiley   +1 more source

Random Time‐Space Coding Metasurfaces for Spatial Control of the Temporal Statistics of Electromagnetic Fields

Advanced Science, EarlyView.
A probabilistic framework based on random time‐space coding metasurfaces enables control of the spatial distribution of electromagnetic fields temporal statistics. By tailoring the marginal and joint distributions of random codes, electromagnetic fields with desired mean and variance patterns are realized, enabling simultaneous transmission and jamming.
Jia Cheng Li, Jiang Han Bao, Che Liu, Tie Jun Cui   +3 more
wiley   +1 more source

Positive Definiteness of High-Order Subdifferential and High-Order Optimality Conditions in Vector Optimization Problems

Abstract and Applied Analysis, 2013
We obtain a new Taylor's formula in terms of the order subdifferential of a function from to . As its applications in optimization problems, we build order sufficient optimality conditions of this kind of functions and order necessary conditions ...
He Qinghai, Zhang Binbin
doaj   +1 more source