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| 1 | AN AGGREGATE FUNCTION METHOD FOR NONLINEAR PROGRAMMING显示文摘This paper presents a new method, called the 'aggregate function' method, for solvingnonlinear programming problems. At first, we use the 'maximum' constraint in place of theoriginal constraint set to convert a multi-constrained optimization problem to a non-smoothbut singly constrained problem; we then employ the surrogate constraint concept and themaximum entropy principle to derive a smooth function, by which the non-smooth maximumconstraint is approximated and the original problem is converted to a smooth and singly con-strained problem; furthermore, we develop a multiplier penalty algorithm. The presentalgorithm has merits of stable and fast convergence and ease of computer implementation,and is particularly suitable to solving a nonlinear programming problem with a large num-ber of constraints. | 李兴斯 | 1991 | Science China Mathematics1991，34，12： | 30 |
| 2 | Multipliers on Dirichlet Type Spaces | Peng Yan HU Department of Mathematics. Normal College of Shenzhen University. Shenzhen. Guangdong 518060. P. R. China Ji Huai SHI Department of Mathematics. University of Science and Technology of China. Hefei. Anhui 230026, P. R. China | 2001 | Acta Mathematica Sinica,English Series2001，17，2： | 23 |
| 3 | Multiplier ideal sheaves in complex and algebraic geometry显示文摘The application of the method of multiplier ideal sheaves to effective problems in algebraic geometry is briefly discussed. Then its application to the deformational invariance of plurigenera for general compact algebraic manifolds is presented and discussed.Finally its application to the conjecture of the finite generation of the canonical ring is explored, and the use of complex algebraic geometry in complex Neumann estimates is discussed. | Yum-Tong Siu | 2005 | Science China Mathematics2005，48，z1： | 7 |
| 4 | Gleason's problem in weighted Bergman space on egg domains显示文摘It is shown that on the egg domains:Ω a= ({ξ=(z,w)∈C n+m: z∈C m, w∈C m, (z) 2+ (w) 2/a<1)}, 0 | 任广斌 史济怀 | 1998 | Science China Mathematics1998，41，3： | 5 |
| 5 | A digital time correlative accumulation(Ⅰ)——auto-correlative accumulation显示文摘A specific signal processing scheme-digital time correlative accu-mulation is introduced.This paper is the first part,which analyses thestatistical characteristics of direct signal,typical marine noise in shallowacoustical channel and describes the basic principle,structure andperformances of auto-correlative accumalation.The theoretical estima-tions and practical application have shown that the scheme has a generalsignificance for underwater acoustic telemetry and telecontrol at the lowdata rate in shallow water channels. | XU Tianzeng(Institute of Subtropical Oceanography. Xiamen University) | 1990 | Chinese Journal of Acoustics1990，9，4： | 3 |
| 6 | Efficient 16 Boolean logic and arithmetic based on bipolar oxide memristors显示文摘The physically separated memory and logic units in traditional von Neumann computers place essential limits on the performance and cause increased energy consumption,and hence in-memory computing is required to overcome this bottleneck.Here,a new bipolar memristor based in-memory logic approach is proposed,which is capable of achieving all 16 possible Boolean logic functions in a single device in less than3 steps.This approach does not require initialization and can facilitate logic cascading,and the calculation taking place in-situ is showcased by 1-bit full adder and 2-bit multiplier with improved efficiency,thus showing a great prospect in future in-memory computing architecture. | Rui YUAN Mingyuan MA Liying XU Zhenhua ZHU Qingxi DUAN Teng ZHANG Yu ZHU Yu WANG Ru HUANG Yuchao YANG | 2020 | Science China(Information Sciences)2020，63，10： | 3 |
| 7 | Mantle flow beneath the Asian continent and its force to the crust显示文摘The mantle unsteady flows, which are in an incompressible and isoviscous spherical shell, are investigated by using algorithms of the parallel Lagrange multiplier dissonant decomposition method (LMDDM) and the parallel Lagrange multiplier discontinuous deformation analyses (LMDDA) in this paper. Some physical fields about mantle flows such as velocity, pressure, temperature, stress and the force to the crust of the Asian continent are calculated on a parallel computer. | 孙荀英 张怀 梁国平 | 2002 | Acta Seismologica Sinica(English Edition)2002，15，3： | 3 |
| 8 | MULTIPLIERS AND TENSOR PRODUCTS OF WEIGHTED L^p-SPACES显示文摘Let G be a locally compact unimodular group with Haar measure rmdx and ω be the Beurling’s weight function on G (Reiter, [10]). In this paper the authors define a space Aωp,q (G) and prove that Aωp,q (G) is a translation invariant Banach space. Fur- thermore the authors discuss inclusion properties and show that if G is a locally compact abelian group then Aωp,q (G) admits an approximate identity bounded in Lω1 (G). It is also proved that the space Lωp (G) Lω1 Lωq (G) is isometrically isomorphic to the space Aωp,q (G) and the space of multipliers from Lωp (G) to Lq-1, (G) is isometrically isomorphic to the dual of the space Aωp,q (G) iff G satisfies a property Ppq. At the end of this work it is showed that if G is a locally compact abelian group then the space of all multipliers from Lω1 (G) to Aωp,q (G) is the space Aωp,q (G). | S. Ozto Istanbul University Faculty of Sciences Department of Mathematics Vezneciler, Istanbul Turkey. E-mail: serapoztop@hotmail.com A. T. Gurkanli Ondokuz Mayis University Faculty of Arts and Sciences Department of Mathematics 55139, Kurupelit, Samsun T | 2001 | Acta Mathematica Scientia2001，21，1： | 3 |
| 9 | Besov spaces and Herz spaces on local fields显示文摘The relationship of Besov spaces and Herz spaces on local fi elds is given. As an application, one multiplier theorem is obtained. And the de compositional characterization of the weighted Besov spaces is established. | 朱月萍 郑维行 | 1998 | Science China Mathematics1998，41，10： | 2 |
| 10 | Boundedness of Multilinear Operators in Herz-type Hardy Space | Lin Tang Dachun Yang Department of Mathematics,Beijing Normal University,Beijing 100875,P.R.China | 2000 | Acta Mathematica Sinica,English Series2000，16，2： | 2 |
| 11 | Multipliers and Herz type spaces显示文摘Hrmander condition for boundedness of multiplier operators will be replaced by a weaker condition described by certain weighted or non-weighted Herz spaces. Some results on boundedness of multiplier operators are then established. As direct corollaries of main theorems in this paper, several celebrated results on boundedness of multiplier operators will be improved or deduced. | LU ShanZhen School of Mathematical Sciences, Beijing Normal University, Beijing 100875, China | 2008 | Science China Mathematics2008，51，10： | 2 |
| 12 | Three industries and water consumption of Beijing显示文摘ThreindustriesandwaterconsumptionofBeijingWangHongruiInstituteofEnvironmentalSciences,BeijingNormalUniversity,Beijing100875,... | Wang Hong rui Institute of Environmental Sciences,Beijing Normal University,Beijing 100875,China Wang Yan Beijing Municipal Research Institute of Environmental Protection,Beijing 100037,China | 1998 | Journal of Environmental Sciences1998，10，2： | 2 |
| 13 | CHARACTERIZATION OF RESIDUATED LATTICES VIA MULTIPLIERS显示文摘In the paper,we introduce some of multipliers on residuated lattices and investigate the relations among them.First,basing on the properties of multipliers,we show that the set of all multiplicative multipliers on a residuated lattice A forms a residuated lattice which is isomorphic to A.Second,we prove that the set of all total multipliers on A is a Boolean subalgebra of the residuated lattice(which is constituted by all multiplicative multipliers on A)and is isomorphic to the Boolean center of A.Moreover,by partial multipliers,we study the maximal residuated lattices of quotients for residuated lattices.Finally,we focus on principal implicative multipliers on residuated lattices and obtain that the set of principal implicative multipliers on A is isomorphic to the set of all multiplicative multipliers on A under the opposite(dual)order. | 王伟 赵彬 | 2022 | Acta Mathematica Scientia2022，42，5： | 2 |
| 14 | A class of singular integrals on the n-complex unit sphere显示文摘The operators on the n-complex unit sphere under study have three forms: the singular integrals with holomorphic kernels, the bounded and holomorphic Fourier multipliers, and the Cauchy-Dunford bounded and holomorphic functional calculus of the radial Dirac operator. The equivalence between the three forms and the strong-type (p, p), 1<p<∞, and weak-type (1,1)-boundedness of the operators is proved. The results generalise the work of L. K. Hua, A. Korányli and S. Vagi, W. Rudin and S. Gong on the Cauchy-Szeg(?) kernel and the Cauchy singular integral operator. | Michael Cowling 钱涛 | 1999 | Science China Mathematics1999，42，12： | 1 |
| 15 | Performance study of a cesium iodide photocathode-based UV photon detector in Ar/CH_(4) mixture显示文摘The detection efficiency of a gaseous photomultiplier depends on the photocathode quantum efficiency and the extraction efficiency of photoelectrons into the gas.In this paper we have studied the performance of an UV photon detector with P10 gas in which the extraction efficiency can reach values near to those in vacuum operated devices.Simulations have been done to compare the percentage of photoelectrons backscattered in P10 gas as well as in the widely used neon-based gas mixture.The performance study has been carried out using a single stage thick gas electron multiplier(THGEM).The electron pulses and electron spectrum are recorded under various operating conditions.Secondary effects prevailing in UV photon detectors like photon feedback are discussed and its effect on the electron spectrum under different operating conditions is analyzed. | G.Baishali V.Radhakrishna V.Koushal K.Rakhee K.Rajanna | 2014 | Photonics Research2014，2，3： | 1 |
| 16 | ON VECTOR OPTIMIZATION WHEN THE ORDERING CONE HAS AN EMPTY INTERIOR显示文摘1.IntroductionLetXbeavectorspace,Ybeatopologicalvectorspace,Zbealocallyconvexspace,andletthetopologicaldualspacesofYandZbedenotedbyY*andZ*,respectively.LetCbeapointedconvexconeinYandKbeaclosedconvexpointedconeinZ.ThedualconesofCandKaredefinedasrespec... | GONG Xun hua (Department of Mathematics, Nanchang University, Nanchang 330047, China) | 2000 | Systems Science and Mathematical Sciences2000，13，1： | 1 |
| 17 | Distributed Lagrange Multiplier/Fictitious Domain Finite Element Method for a Transient Stokes Interface Problem with Jump Coefficients显示文摘The distributed Lagrange multiplier/fictitious domain(DLM/FD)-mixed finite element method is developed and analyzed in this paper for a transient Stokes interface problem with jump coefficients.The semi-and fully discrete DLM/FD-mixed finite element scheme are developed for the first time for this problem with a moving interface,where the arbitrary Lagrangian-Eulerian(ALE)technique is employed to deal with the moving and immersed subdomain.Stability and optimal convergence properties are obtained for both schemes.Numerical experiments are carried out for different scenarios of jump coefficients,and all theoretical results are validated. | Andrew Lundberg Pengtao Sun Cheng Wang Chen-song Zhang | 2019 | Computer Modeling in Engineering & Sciences2019，，4： | 1 |
| 18 | Normal families and fixed points of iterates显示文摘Let F be a family of holomorphic functions and suppose that there exists ε > 0 such that if f ∈ F, then |(f 2 ) (ξ)|≤4-ε for all fixed points ξ of the second iterate f 2 . We show that then F is normal. This is deduced from a result which says that if p is a polynomial of degree at least 2, then p 2 has a fixed point ξ such that |(p 2 ) (ξ)|≥4. The results are motivated by a problem posed by Yang Lo. | BERGWEILER Walter | 2010 | Science China Mathematics2010，53，3： | 1 |
| 19 | A New Method to Calculate Investment Multiplier | YANG Cui\|hong Institute of Systems Sciencex, CAS, Beijing 100080, China | 1999 | Systems Science and Systems Engineering1999，9，4： | 1 |
| 20 | Modified Lagrange Multiplier Method and Generalized Variational Principle in Fluid Mechanics显示文摘The Lagrange multiplier method plays an important role in establishing generalized variational principles notonly in tluid mechallics. but also in elasticity. Sometimes, however, one may come across variational crisis(somemultipliers vanish identically). failing to achieve his aim. The crisis is caused by the fact that the Inultipliers are treatedas independent variables in the process of variatioll. but after identification they become functions of the originalindependent variables. To overcome it, a Inodified Lagrange multiplier method or semi-inverse method has beenproposed to deduce generalized varistional principles. Some e-camples are given to illustrate its convenience andeffectiveness of the novel method. | 何吉欢 | 1997 | Advances in Manufacturing1997，，2： | 1 |
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