In this paper,we define the spectral Einstein functional associated with the Dirac operator for manifolds with boundary.And we give the proof of Kastler-Kalau-Walze type theorem for the spectral Einstein functional as...
the support by the National Key Research and Development Program of China(No.2019YFA0307701);National Natural Science Foundation of China(Nos.11674128,11674124 and 11974138)。
Laser-induced breakdown spectroscopy(LIBS)is a powerful technique for elemental analysis,offering rapid analysis,minimal sample preparation,wide elemental coverage,and portability.To enhance the detection sensitivity ...
supported by the NSFC(Grants 92370113,12071496,12271482);Moreover,the first author was also supported by the Zhejiang Provincial NSF(Grant LZ23A010006);by the Key Research Project of Zhejiang Lab(Grant 2022PE0AC01);the fourth author was also supported by the Guangdong Provincial NSF(Grant 2023A1515012097).
In this paper,we analyze two classes of spectral volume(SV)methods for one-dimensional hyperbolic equations with degenerate variable coefficients.Two classes of SV methods are constructed by letting a piecewise k-th o...
supported by National Natural Science Foundation of China(12374402);Research Grants Council of the Hong Kong Special Administrative Region of China(HKU 17210522,HKU C7074-21G,HKU 17205321,HKU 17200219,MHP/073/20,MHP/057/21);Health@InnoHK program of the Innovation and Technology Commission of the Hong Kong SAR Government.
Period-doubling bifurcation,as an intermediate state between order and chaos,is ubiquitous in all disciplines of nonlinear science.However,previous experimental observations of period doubling in ultrafast fiber laser...
Sichuan Science and Technology Program(2022YFSY0061,2022YFSY0062,2022YFSY0063,2023YFSY0058,2023NSFSC0048);Innovation Program for Quantum Science and Technology(2021ZD0301702);National Natural Science Foundation of China(12174222,62475039,62405046);Natural Science Foundation of Shandong Province(ZR2021ZD02);National Key Research and Development Program of China(2018YFA0306102,2022YFA1405900).
The light–matter interface is an important building block for long-distance quantum networks.Towards a scalable quantum network with high-rate quantum information processing,it requires to develop integrated light–m...
The characteristics of nonlinear and supernonlinear Alfvén waves propagating in a multicomponent plasma composed of a double spectral electron distribution and positive and negative ions were investigated.The Sagdeev...
the financial supports from the National Key Research and Development Program of China(Grant No.2023YFB3811600);the National Science Fund for Distinguished Young Scholars(Grant No.51625201);State Key Program of National Natural Science of China(Grant No.52032004);National Youth Science Funds of China(Grant No.52102039);Key Research and Development Program of Heilongjiang Province(Grant No.GA21D001,2022ZX06C05);the Fundamental Research Funds for the Central Universities(Grant No.HIT.OCEF.2022011);the Major Program of Harbin Institute of Technology(Grant NO.2023FRFK01002);the Fundamental Research Funds for the Central Universities(2022FRFK060026);the National Youth Science Funds of China(Grant No.52302172).
A novel multispectral smart window has been proposed,which features dynamic modulation of light transmittance and effective shielding against electromagnetic microwave radiation.This design integrates liquid crystal d...
supported by the National Natural Science Foundation of China(No.72071202);the Key Laboratory of Mathematics and Engineering Applications,Ministry of Education。
As a generalization of the two-term conjugate gradient method(CGM),the spectral CGM is one of the effective methods for solving unconstrained optimization.In this paper,we enhance the JJSL conjugate parameter,initiall...
In this paper,some refinements of norm equalities and inequalities of combination of two orthogonal projections are established.We use certain norm inequalities for positive contraction operator to establish norm ineq...