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Certifying the Global Optimality of Quartic Minimization over the Sphere

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Journal of the Operations Research Society of China 2022年第2期10卷 241-287页

作者： sheng-Long Hu Department of Mathematics School of ScienceHangzhou Dianzi UniversityHangzhou 310018ZhejiangChina

The quartic minimization over the sphere is an NP-hard problem in the general *** exist various methods for computing an approximate solution for any given *** practice,it is quite often that a global optimal solution was found but without a *** will present in this article two classes of methods which are able to certify the global optimality,i.e.,algebraic methods and semidefinite program(SDP)relaxation *** advances on these topics are summarized,accompanied with some emerged new *** want to emphasize that for mediumor large-scaled instances,the problem is still a challenging one,due to an apparent limitation on the current force for solving SDP problems and the intrinsic one on the approximation techniques for the problem.

关键词： Quartic minimization Tensor Sphere Global optimality Elimination method Critical points Eigenvectors Determinant Nondegenerate Characteristic polynomial SDP relaxations Moment matrix Flatness Positivstellensatz Nonnegative polynomial Sums of squares Duality

Photoenzymatic RAFT Emulsion Polymerization with Oxygen Tolerance

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Chinese Journal of Polymer Science 2021年第9期39卷 1138-1145页

作者： Ruo-Yu Li Ze-sheng An State Key Laboratory of Supramolecular Structure and Materials College of ChemistryJilin UniversityChangchun 130012China Key Laboratory for Molecular Enzymology and Engineering of Ministry of Education School of Life SciencesJilin UniversityChangchun 130012China Institute of Nanochemistry and Nanobiology College of Environmental and Chemical EngineeringShanghai UniversityShanghai 200444China

Photoenzymatic reversible addition-fragmenatation chain transfer(RAFT)emulsion polymerization,surfactant-free or ab initio,of various monomers is reported with oxygen *** surfactant-free emulsion polymerizatoin,poly(N,N-dimethylacrylamide)s were used as stabilizer blocks for emulsion polymerization of methyl acrylate,n-butyl acrylate and styrene,producing well-defined amphiphilic block copolymers,including those with an ultrahigh molecular weight,at quantitative *** controlled character of surfactant-free emulsion polymerization was confirmed by kinetic studies,chain extension studies and GPC *** control was demonstrated by light ON/OFF *** ab initio emulsion polymerization of methyl acrylate and methyl methacrylate,low-dispersity hydrophobic polymers were synthesized with predictable molecular *** study extends the monomer scope suitable for photoenzymatic RAFT polymerization from hydrophilic to hydrophobic monomers and demonstrates that oxygen-toleranee can be equally achieved for emulsion polymerization with excellent RAFT control.

关键词： Controlled radical polymerization RAFT Emulsion polymerization Oxygen toleranee Photoenzymatic polymerization

Existence, Uniqueness and Approximation for Lp Solutions of Reflected BSDEs with Generators of One-sided Osgood Type

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Acta Mathematica Sinica,English Series 2017年第6期33卷 807-838页

作者： sheng Jun FAN School of Mathematics China University of Mining and Technology Xuzhou 221116 P. R. China

We prove several existence and uniqueness results for Lp （p 〉 1） solutions of reflected BSDEs with continuous barriers and generators satisfying a one-sided Osgood condition together with a general growth condition in y and a uniform continuity condition or a linear growth condition in z. A necessary and sufficient condition with respect to the growth of barrier is also explored to ensure the existence of a solution. And, we show that the solutions may be approximated by the penalization method and by some sequences of solutions of reflected BSDEs. These results are obtained due to the development of those existing ideas and methods together with the application of new ideas and techniques, and they unify and improve some known works.

关键词： Reflected backward stochastic differential equation Lp solutions comparison theorem,one-sided Osgood condition uniform continuity condition

Role of decay in the search for double-charm baryons

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Science China(Physics,Mechanics & Astronomy) 2020年第2期63卷 27-28页

作者： Fu-sheng Yu School of Nuclear Science and Technology Lanzhou University

Double-charm baryons,whose components are two heavy charm quarks and one light quark,are part of a large family of hadrons predicted by the quark *** on them are helpful to understand the hadron structure and the nature of the strong *** efforts expended over decades of searching,experimental measurements achieved a breakthrough with the first observation of the double-charm baryon of■^++cc(ccu)via■^++cc→Λ^+c K^-π^+π^+ by the LHCb collaboration in 2017[1].Since then,the LHCb collaboration has been leading the experimental studies for doubly charmed baryons[2-6]because they are produced in considerably large numbers in the Large Hadron Collider(LHC).

关键词： interaction. quark double

A big step forward to graphene-based atomic hydrogen storage

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Science China Chemistry 2022年第2期65卷 197-198页

作者： sheng-Li Chen College of Chemistry and Molecular Science Wuhan UniversityWuhan 430072China

Considered as the ultimate solution for the energy and environment crises,hydrogen energy plays a crucial role in the realization of worldwide carbon *** are three key issues for the practical utilization of hydrogen energy:high-capacity storage,safe transportation and reversible release,among which hydrogen storage is the first step.

关键词： hydrogen realization energy

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On discrete time hedging errors in a fractional Black-Scholes model

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Applied Mathematics(A Journal of Chinese Universities) 2017年第2期32卷 211-224页

作者： WANG Wen-sheng College of Economics Hangzhou Dianzi UniversityHangzhou 310018China College of Science Hangzhou Normal UniversityHangzhou 310036China

In this paper we investigate asymptotic behavior of error of a discrete time hedging strategy in a fractional Black-Scholes model in the sense of Wick-ItS-Skorohod integration. The rate of convergence of the hedging error due to discrete-time trading when the true strategy is known for the trader, is investigated. The result provides new statistical tools to study and detect the effect of the long-memory and the Hurst parameter for the error of discrete time hedging.

关键词： discrete time hedging Wick-Itö-Skorohod integral rate of convergence weak convergence incomplete market fractional Brownian motion replicate Black-Scholes model

Types of tolerance seen in autoreactive phosphocholine-specific B cells are dependent on the idiotype of the receptors expressed

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Cellular & Molecular Immunology 2013年第4期10卷 311-316页

作者： Qing-sheng Mi Henry Ford Immunology Program Henry Ford .Healt.h.System Detroit.MI.USA Department of Dermatology Henry Ford Health System Detroit M I USA Department of Internal Medicine Henry Ford Health System Detroit MI USA Laboratory of Immunology Gerontology Research Institute NIH Baltimore MD USA JJK was retired from Gerontology Research Institute NIH Baltimore

Phosphocholine （PC） is the immunodominant epitope found on the surface of a number of microorganisms, including Streptococcus pneumoniae （SPn）, and is thought to play a vital role in the pathogenesis of SPn. B cells expressing M 167Hκ24L immunoglobulin receptors specific for PC have been shown to be autoreactive in that they undergo clonal deletion in both X-linked immune-deficient and Rag-/- mice. We have now shown that B cells expressing M603HK8L PC-specific receptors also delete in Rag-/- mice, whereas those expressing T15HK22L transgenes do not delete. However, T15HK22L B cells are lost in normal heterozygous transgenic mice because they cannot compete with normal B cells. These data indicate that M167Hκ24L and M603H^8L PC-specific B cells are recognizing an autoantigen expressed on membranes which causes them to downregulate their receptors and clonally delete, while T15Hκ22L B cells are tolerized by a soluble form of PC-antigen which results in their being trapped in the spleen. Thus, the types of tolerance seen in autoreactive PC-specific B cells are dependent on the idiotype of the receptors expressed.

关键词： B cells idiotype phosphocholine Streptococcus pneumoniae tolerance

A Relationship Between the Conditional g-Evaluation System and the Generator g and Its Applications

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Acta Mathematica Sinica,English Series 2007年第8期23卷 1427-1434页

作者： sheng Jun FAN College of Sciences China University of Mining and Technology Xuzhou 221008 P. R. China

In this paper, under the most elementary conditions on a backward stochastic differential equation （BSDE for short） introduced by Peng, a new relationship between the conditional g-evaluation system and the generator g of BSDE is obtained in the sense of ＂process＂, based on some recent results of Jiang. Moreover, as applications, two converse comparison theorems and two uniqueness theorems on the generators of BSDEs are proved.

关键词： backward stochastic differential equation g-evaluation g-expectation generator converse comparison theorem

Relative Derived Equivalences and Relative Homological Dimensions

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Acta Mathematica Sinica,English Series 2016年第4期32卷 439-456页

作者： sheng Yong PAN Department of Mathematics Beijing Jiaotong UniversityBeijing 100044P.R.China Beijing Center for Mathematics and Information Interdisciplinary Sciences Beijing 100048P.R.China

Let A be a small abelian *** a closed subbifunctor F of Ext_A^1（-,-）,Buan has generalized the construction of Verdier’s quotient category to get a relative derived category,where he localized with respect to F-acyclic *** this paper,the homological properties of relative derived categories are discussed,and the relation with derived categories is *** Artin algebras,using relative derived categories,we give a relative version on derived equivalences induced by F-tilting *** discuss the relationships between relative homological dimensions and relative derived equivalences.

关键词： Relative derived category F-tilting complex relative derived equivalence relative homological dimension