Results 61 to 70 of about 160,977 (322)

Hyperbolic geometry on noncommutative balls [PDF]

, 2009
In this paper, we study the hyperbolic geometry of noncommutative balls generated by the joint operator radius $\omega_\rho$, $\rho\in (0,\infty]$, for $n$-tuples of bounded linear operators on a Hilbert space.
Popescu, Gelu
core   +1 more source

Celebrating Cercignani's conjecture for the Boltzmann equation

, 2010
Cercignani's conjecture assumes a linear inequality between the entropy and entropy production functionals for Boltzmann's nonlinear integral operator in rarefied gas dynamics.
A. A. Arsen'ev, A. V. Bobylev, A. V. Bobylev, A. V. Bobylev, A. V. Bobylev, A. V. Bobylev, B. Wennberg, B. Wennberg, C. Baranger, C. Cercignani, C. Cercignani, C. Mouhot, C. Mouhot, C. Mouhot, C. Mouhot, C. Mouhot, C. Mouhot, C. S. Wang Chang, C. Villani, C. Villani, C. Villani, C. Villani, C. Villani, C. Villani, Clément Mouhot, Cédric Villani, D. Bakry, D. Hilbert, D. K. Maslen, E. A. Carlen, E. A. Carlen, E. A. Carlen, E. A. Carlen, E. A. Carlen, E. A. Carlen, E. A. Carlen, E. A. Carlen, E. A. Carlen, E. A. Carlen, E. Janvresse, F. Golse, F. Hérau, G. Toscani, G. Toscani, G. Toscani, H. Grad, I. Csiszar, I. M. Gamba, J. C. Maxwell, L. Arkeryd, L. Boltzmann, L. Desvillettes, L. Desvillettes, L. Desvillettes, L. Desvillettes, L. Desvillettes, L. Desvillettes, L. Desvillettes, L. Desvillettes, L. Gross, L. Landau, Laurent Desvillettes, M. Aizenman, M. Kac, M. Klaus, M. P. Gualdani, P. Degond, P. Degond, P. Diaconis, P. T. Gressman, P.-L. Lions, R. Alexandre, R. Alexandre, R. Alexandre, R. Alonso, R. E. Caflisch, S. Kullback, S. Mischler, S. Mischler, T. Carleman, Y. Guo, Y. P. Pao   +81 more
core   +3 more sources

Parabiosis, Assembloids, Organoids (PAO)

Advanced Science, EarlyView.
This review evaluates parabiosis, organoids, and assembloids as complementary disease models spanning systemic, organ, and multi‐organ levels. It highlights their construction strategies, applications, and current limitations, while emphasizing their integration with frontier technologies such as artificial intelligence, organ‐on‐a‐chip, CRISPR, and ...
Yang Hong, Lavonda Li, Lijie Yan, Long Bai, Jiacan Su, Xingcai Zhang   +5 more
wiley   +1 more source

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

Journal 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  

Two-Weight, Weak-Type Norm Inequalities for Fractional Integral Operators and Commutators on Weighted Morrey and Amalgam Spaces

Abstract and Applied Analysis, 2020
Let ...
Hua Wang
doaj   +1 more source

Complete Approximations by Multivariate Generalized Gauss-Weierstrass Singular Integrals

Moroccan Journal of Pure and Applied Analysis, 2021
This research and survey article deals exclusively with the study of the approximation of generalized multivariate Gauss-Weierstrass singular integrals to the identity-unit operator.
Anastassiou George A.
doaj   +1 more source

Flipping the Switch: MeCP2‐Mediated Lactylation Rewires Microglial Metabolism and Inflammation via the HK2/mTOR Axis in Poststroke Neuroinflammation

Advanced Science, EarlyView.
Stroke‐induced lactate accumulation promotes p300‐mediated lactylation of methyl‐CpG binding protein 2 (MeCP2) at lysine 210, which reprograms microglial metabolism toward glycolysis and activates the hexokinase 2 (HK2)/mTOR axis. This cascade promotes proinflammatory responses and impairs neurofunctional outcomes.
Zengyu Zhang, Shanshan Huang, Yong Wang, Zhiwen Jiang, Zhuohang Liu, Chenran Wang, Rong Ji, Yiwen Yuan, Xueyu Mao, Kaicheng Yang, Huicong Niu, Yanqin Gao, Jing Zhao   +12 more
wiley   +1 more source

Single‐Target Pairing System (StarPair) for Large‐Scale Interrogation of Cell–Cell Interactions

Advanced Science, EarlyView.
This work presents a single‐target pairing system, StarPair, enabling cell–cell interaction studies by target combination in droplets. StarPair offers superior pairing efficiencies over 95% and operation frequencies of 105 pairs per 9.5 h for two‐target pairing, allowing large‐scale interrogation of immune cell‐cancer cell interactions and precise ...
Tianjiao Mao, Lang Nan, Miao Xu, Kehao Zeng, Yuchao Wang, Ziyu Han, Ho Cheung Shum   +6 more
wiley   +1 more source

On a Certain Subclass of Meromorphic Functions Defined by a New Linear Differential Operator

Journal of Mathematical and Fundamental Sciences, 2017
In this article, a new linear differential operator I^k (L_s^a (a_l,b_m )f(z)) is defined by using the Hadamard product of the q-hypergeometric function and a function related to the Hurwitz-Lerch zeta function. By using this linear differential operator,
Khalid Challab, Maslina Darus, Firas Ghanim   +2 more
doaj   +1 more source

Certain Subclass of m-Valent Functions Associated with a New Extended Ruscheweyh Operator Related to Conic Domains

Journal of Function Spaces, 2021
The main object of the present paper is to introduce certain subclass of m-valent functions associated with a new extended Ruscheweyh linear operator in the open unit disk.
Amnah E. Shammaky, Tamer M. Seoudy
doaj   +1 more source