supported by the Natural Science Foundation of Chongqing Science and Technology Commission(Grant No.cstc2020jcyj-msxmX0723);the Research Foundation of Chongqing Educational Committee(Grant No.KJQN2021000529);supported by the National Natural Science Foundation of China(Grant Nos.11871127,11971463)。
Let A be a unital C^(∗)-algebra and B a unital C^(∗)-algebra with a faithful traceτ.Let n be a positive integer.We give the definition of weakly approximate diagonalization(with respect toτ)of a unital homomorphism...
This paper discusses how the infinite set of real numbers between 0 and 1 could be represented by a countably infinite tree structure which would avoid Cantor’s diagonalization argument that the set of real numbers i...
the Natural Science Foundation of Jiangsu Province(No.BK20210540);the Natural Science Foundation of The Jiangsu Higher Education Institutions of China(No.21KJB110015);the National Key Research and Development Program of China(grant no.2020YFA0713601).
Based on the auxiliary subspace techniques,a posteriori error estimator of nonconforming weak Galerkin finite element method(WGFEM)for Stokes problem in two and three dimensions is presented.Without saturation assumpt...
the National Natural Science Foundation of China(52072155,51707084);the Six Talent Peaks Project in Jiangsu Province(2018-XNYQC-004);the Open Research Subject of Key Laboratory of Automotive Measurement and Control and Safety(QCCK2020-009);the Natural Science Research Project of Jiangsu Higher Education Institutions(19KJB470013);the Young Talent Cultivation Project of Jiangsu University.
An improved cubature Kalman filter(CKF)algorithm for estimating the state of charge of lithium-ion batteries is proposed.This improved algorithm implements the diagonalization decomposition of the covariance matrix an...
Project supported by the National Natural Science Foundation of China(Grant Nos.91836101,U1930201,and 11574239).
Many numerical methods,such as tensor network approaches including density matrix renormalization group calculations,have been developed to calculate the extreme/ground states of quantum many-body systems.However,litt...
The Krein-Rutman theorem is vital in partial differential equations that are non-linear and provides evidence of the presence of several significant eigenvalues useful in topological degree calculations, stability ana...
The famous diagonal argument plays a prominent role in set the ory as well as in the proof of undecidability results in computability the ory and incompleteness results in metamathematics.Lawvere(1969)brings to light ...
Generalize reflexive matrices are a special class of matrices ?that have the relation where? and ?are some generalized reflection matrices. The nontrivial cases ( or ) of this class of matrices occur very often in man...
supported by the National Natural Science Foundation of China (Grant Nos. 11274263 and 11274264)
In this paper, a modified direct product method of scattering matrix (DPSM) was presented and the cal- culation formulawas derived as follows: φ(z)=∑n1/n!(Mz)nφ(O)and φ(z+εj)=∑n1/n!(Mεj)nφ(z),...
National Natural Science Foundation of China(No.61127015)
Monitoring indoor harmful gas can obtain the infrared spectra of mixed harmful gases.Since the absorption bands of mixed gases overlap and their qualitative and quantitative analyses are not easy,feature extraction me...