Results 71 to 80 of about 11,244 (303)

Elliptic curves and logarithmic derivatives [PDF]

, 1999
Let C be a curve with Jacobian variety J defined over an arbitrary field k. In this paper, we show that the logarithmic derivative induces a natural homomorphism from the group J(k) of k-rational points on J into the group (H1(C,Oc) ⊗k ΩkZ1)δ(Γ(C, ΩCk 1))
Coombes, Kevin R.
core   +1 more source

Six-dimensional one-loop divergences in quantum gravity from the N $$ \mathcal{N} $$ = 4 spinning particle

Journal of High Energy Physics, 2023
In this work, we investigate the computation of the counterterms necessary for the renormalization of the one-loop effective action of quantum gravity using both the worldline formalism and the heat kernel method.
Fiorenzo Bastianelli, Francesco Comberiati, Filippo Fecit, Fabio Ori   +3 more
doaj   +1 more source

Molecularly Engineered Wing‐Shaped Azobenzene Memristors for Logic‐in‐Memory and Edge Visual Intelligence

Advanced Science, EarlyView.
Rational engineering of terminal substituents in symmetric azobenzene‐based molecules enables precise control over conformationally coupled charge‐transfer processes. This design yields tunable nonvolatile resistive memory behaviors, ranging from write‐once‐read‐many‐times (WORM) to rewritable switching.
Yanze Liu, Tao Han, Jiahui Ding, Hong Lian, Lingling Yao, Zhaoxin Xu, Xingyu Zhang, Shuanglong Wang, Jiangnan Xia, Tianchi Zhang, Weiwei Kang, Qingchen Dong   +11 more
wiley   +1 more source

Multivariate Jacobi and Laguerre polynomials, infinite-dimensional extensions, and their probabilistic connections with multivariate Hahn and Meixner polynomials [PDF]

, 2011
Multivariate versions of classical orthogonal polynomials such as Jacobi, Hahn, Laguerre, Meixner are reviewed and their connection explored by adopting a probabilistic approach.
Robert C. Griffiths, Spanò, Dario, Griffiths, Robert C., Dario Spanò   +3 more
core   +1 more source

Whole‐Genome Sequencing Pilot of the Central Asian Genomic Diversity Project Reveals Distinct Histories, Adaptation, and Introgression

Advanced Science, EarlyView.
As a pilot phase of the Central Asian Genomic Diversity Project, whole‐genome sequencing of 166 individuals from 20 Central Asian and Afghan Hazara populations reveals fine‐scale substructure shaped by repeated trans‐Eurasian migration and admixture. Integrated analyses uncover post‐admixture adaptation, archaic introgression, and medically relevant ...
Mengge Wang, Shuhan Duan, Qiuxia Sun, Renkuan Tang, Lintao Luo, Jie Zhong, Zhaxylyk Sabitov, CAGDP Consortium†, Lan‐Hai Wei, Chao Liu, Maxat Zhabagin, Guanglin He   +11 more
wiley   +1 more source

Numerical treatments for solving nonlinear mixed integral equation

Alexandria Engineering Journal, 2016
We consider a mixed type of nonlinear integral equation (MNLIE) of the second kind in the space C[0,T]×L2(Ω ...
M.A. Abdou, M. Basseem
doaj   +1 more source

Scale-invariant Mexican Hat wavelet descriptor for non-rigid shape similarity measurement

Scientific Reports, 2023
The Mexican Hat wavelet (MHW) is strictly derived from the heat kernel by taking its negative first-order derivative with respect to time t. As a solution to the heat equation that the heat kernel has a clear initial condition, the Laplace–Beltrami ...
Yuhuan Yan, Mingquan Zhou, Dan Zhang, Shengling Geng   +3 more
doaj   +1 more source

Multiscale Coupling From Mastication to Retronasal Aroma Perception: The PG‐DTCFN Model and Multiphysics Simulation

Advanced Science, EarlyView.
Using grilled lamb skewers as a model system, this work builds a multiscale coupling framework from oral processing to retronasal aroma perception, reveals dual‐kinetic release patterns and Electroencephalogram‐characterized central encoding features, and proposes an interpretable physics‐guided deep learning model validated by multiphysics simulation,
Che Shen, Xiongfeng He, Zihao Li, Zidong Chen, Jiajin Sun, Xinyu Jiang, Yunhui Zhang, Lizhang Wu, Ran Wang, Jingnan Lu, Bo Wang, Kezhou Cai, Baocai Xu   +12 more
wiley   +1 more source

String kernels, Fisher kernels and finite state automata [PDF]

, 2003
In this paper we show how the generation of documents can be thought of as a k-stage Markov process, which leads to a Fisher kernel from which the n-gram and string kernels can be re-constructed.
Shawe-Taylor, John, John Shawe-taylor, Saunders, Craig, Vinokourov, Alexei, Craig Saunders, Alexei Vinokourov   +5 more
core  

On gelation for the Smoluchowski coagulation equation

Comptes Rendus. Mathématique
Motivated by the recent results of Andreis–Iyer–Magnanini [2], we provide a short proof, revisiting the one of Escobedo–Mischler–Perthame [7], that for a large class of coagulation kernels, any weak solution to the Smoluchowski equation loses mass in ...
Fournier, Nicolas
doaj   +1 more source