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A uniqueness theorem for meromorphic mappings in several complex variables

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Frontiers of Mathematics in China 2012年第4期7卷 669-677页

作者： zhihua chen qiming yan Department of Mathematics Tongji UniversityShanghai 200092China

In this paper, we give a uniqueness theorem for meromorphic mappings from Cn into P^N（C） with rank ≥ μ regardless of multiplicities.

关键词： Value distribution theory uniqueness theorem meromorphicmapping

An Upper Bound of Essential Norm of Composition Operator on H^2(B_n)

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Chinese Annals of Mathematics,Series B 2012年第6期33卷 841-856页

作者： zhihua chen Liangying JIANG qiming yan Department of Mathematics Tongji University Department of Applied Mathematics Shanghai Finance University Department of Mathematics Tongji University

The authors give an upper bound of the essential norm of a composition operator on H2(Bn),which involves the counting function in the higher dimensional value distribution theory defined by ***.A criterion is also giv... 详细信息

关键词： Essential norm Composition operator Hardy space

A note on uniqueness problem for meromorphic mappings with 2N+3 hyperplanes

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Science China Mathematics 2010年第10期53卷 2657-2663页

作者： zhihua chen qiming yan Tongji Univ Dept Math Shanghai 200092 Peoples R China

In this paper,a uniqueness theorem for meromorphic mappings partially sharing 2N+3 hyperplanes is *** a meromorphic mapping f and a hyperplane H,set E(H,f) = {z|ν(f,H)(z) > 0}.Let f and g be two linearly non-degenerate meromorphic mappings and {Hj}j2=N1+ 3be 2N + 3 hyperplanes in general position such that dim f-1(Hi) ∩ f-1(Hj) n-2 for i = *** that E(Hj,f) E(Hj,g) for each j with 1 j 2N +3 and f = g on j2=N1+ 3f-1(Hj).If liminfr→+∞ 2j=N1+ 3N(1f,Hj)(r) j2=N1+ 3N(1g,Hj)(r) > NN+1,then f ≡ g.

关键词： value distribution theory uniqueness theorem meromorphic mappings

A Note on the Essential Norm of Composition Operators from H^p(B_N ) to H^q(B_N )

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Chinese Annals of Mathematics,Series B 2013年第5期34卷 683-690页

作者： zhihua chen Liangying JIANG qiming yan Department of Mathematics Tongji University Department of Applied Mathematics Shanghai Finance University

The authors give an upper bound of the essential norms of composition opera- tors between Hardy spaces of the unit ball in terms of the counting function in the higher dimensional value distribution theory defined by ... 详细信息

关键词： Essential norm Composition operator Hardy space

The Degenerated Second Main Theorem and Schmidt's Subspace Theorem

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Science China Mathematics 2012年第7期55卷 1367-1380页

作者： chen zhihua RU Min yan qiming Department of Mathematics Tongji University Shanghai 200092 China Department of Mathematics University of Houston Houston TX 77004 USA

In this paper, we establish a Second Main Theorem for an algebraically degenerate holomorphic curve f : C → Pn(C) intersecting hypersurfaces in general position. The related Diophantine problems are also considered.

关键词： Nevanlinna theory holomorphic curve Second Main Theorem Diophantine approximation Schmidt's Subspace Theorem

Uniqueness Theorem of Meromorphic Mappings with Moving Targets

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Chinese Annals of Mathematics,Series B 2006年第4期27卷 393-400页

作者： zhihua chen qiming yan Department of Mathematics Tongji University Shanghai 200092 China.

Some uniqueness theorems of meromorphic mappings with moving targets are given under the inclusion relations between the zeros sets of meromorphic mappings.

关键词： Uniqueness theorem Meromorphic mapping Moving hyperplane

Finite element modeling of cable sliding and its effect on dynamic response of cable-supported truss

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Frontiers of Structural and Civil Engineering 2019年第5期13卷 1227-1242页

作者： Yujie YU zhihua chen Renzhang yan School of Civil Engineering Central South UniversityChangsha 410000China Department of Civil Engineering Tianjin UniversityTianjin 300072China College of Civil Engineering Chongqing Jiaotong UniversityChongqing 400000China

The cable system of cable-supported structures usually bears high tension forces, and clip joints may fail to resist cable sliding in cases of earthquake excitations or sudden cable breaks. A analytical method that considers the dynamic cable sliding effect is proposed in this paper. Cable sliding behaviors and the resultant dynamic responses are solved by combining the vector form intrinsic finite element framework with cable force redistribution calculations that consider joint frictions. The cable sliding effect and the frictional tension loss are solved with the original length method that uses cable length and the original length relations. Then, the balanced tension distributions are calculated after frictional sliding. The proposed analytical method is achieved within MATLAB and applied to simulate the dynamic response of a cable-supported plane truss under seismic excitation and sudden cable break. During seismic excitations, the cable sliding behavior in the cable-supported truss have an averaging effect on the oscillation magnitudes, but it also magnifies the internal force response in the upper truss structure. The slidable cable joints can greatly reduce the ability of a cable system to resist sudden cable breaks, while strong friction resistances at the cable-strut joints can help retain internal forces.

关键词： sliding cable explicit solution framework original length method seismic response cable rupture

Sodium Nitrate Passivation as a Novel Insulation Technology for Soft Magnetic Composites

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Engineering 2023年第1期20卷 134-142页

作者： Mi yan qiming chen Dong Liu chen Wu Jian Wang State Key Laboratory of Silicon Materials School of Materials Science and EngineeringZhejiang UniversityHangzhou 310027China School of Chemical Engineering Shandong University of TechnologyZibo 255049China National Institute for Materials Science Tsukuba 305-0047Japan

Sodium nitrate passivation has been developed as a new insulation technology for the production of FeSiAl soft magnetic composites (SMCs). In this work, the evolution of coating layers grown at different pH values is investigated involving analyses on their composition and microstructure. An insulation coating obtained using an acidic NaNO_(3) solution is found to contain Fe2O_(3), SiO_(2), Al2O_(3), and AlO(OH). The Fe2O_(3) transforms into Fe3O4 with weakened oxidizability of the NO_(3)– at an elevated pH, whereas an alkaline NaNO_(3) solution leads to the production of Al2O_(3), AlO(OH), and SiO_(2). Such growth is explained from both thermodynamic and kinetic perspectives and is correlated to the soft magnetic properties of the FeSiAl SMCs. Under tuned passivation conditions, optimal performance with an effective permeability of 97.2 and a core loss of 296.4 mW∙cm−3 is achieved at 50 kHz and 100 mT.

关键词： Soft magnetic composites Surface passivation Insulation technology Growth mechanism Magnetic performance

Geochemistry and petrogenesis of Quaternary volcanism from the islets in the eastern Beibu Gulf: evidence for Hainan plume

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Acta Oceanologica Sinica 2013年第12期32卷 40-49页

作者： LI Naisheng yan Quanshu chen zhihua SHI Xuefa National Oceanographic Center The First Institute of Oceanography State Oceanic Administration

Some of the islets in the eastern Beibu Gulf are covered by Quaternary volcano strata. The rock samples from these islets mainly consist of quartz tholeiites （at Shenjiandao）, olivine tholeiites （at Linshidao and Xieyang- dao） and alkali basalts （at yangpubi and Jianshidao）, and basically represent four periods of the Quaternary volcanism of Hainan Island and its adjacent regions. Except for the samples from Shenjiandao, most of the Quaternary volcanics of these islets belong to alkali magma series. The trace element characteristics of all of these samples show they are OIB （oceanic island basalt） -like, which implies that their deep geodynamic setting may be related to a mantle plume. The Sr-Nd-Pb isotopic compositions show that the mantle source beneath the Quaternary strata can be regarded as a result of binary mixing between a depleted, DMM （de- pleted MORB mantle）-like source and an enriched mantle type 2 （EM2）. The EM2 may be originated from the Hainan mantle plume, and has been metasomatized by carbonaceous fluids released from ancient re- cycled oceanic crust at an asthenospheric mantle level. These features, together with typical trace element ratios, reflect that the parent magma was not subjected to crustal contamination during its ascent to the surface. This study provides further petrological and geochemical evidence for the existence of the Hainan mantle plume.

关键词： enriched mantle type 2 (EM2) mantle source Quaternary volcanism Hainan mantle plume,eastern Beibu Gulf