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Maximal Subgroups in the Classical Groups Normalizing Solvable Subgroups

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Acta Mathematica Sinica,English Series 2021年第5期37卷 740-752页

作者： Yu Cheng YANG shang zhi LI School of Mathematics and Systems Science Beihang UniversityBeijing 100191P.R.China

Let G be a classical group over an arbitrary field F,acting on an n-dimensional vector space V=V(n,F)over a field *** this paper,we classify the maximal subgroups of G,which normalizes a solvable subgroup N of GL(L,F)... 详细信息

关键词： Classical group over arbitrary field maximal subgroup solvable subgroup

Felsic Igneous Rocks in the Hua'aobaote Pb-Zn-Ag Polymetallic Orefield,Southern Great Xing'an Range:Genesis,Metallogenetic and Tectonic Significance

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Acta Geologica Sinica(English Edition) 2022年第1期96卷 221-239页

作者： shang zhi CHEN Yongqing GUO Xiangguo School of Earth Sciences and Resources China University of GeosciencesBeijing 100083China College of Mining Inner Mongolia University of TechnologyHohhot 010051China

The Hua’aobaote Pb-Zn-Ag Polymetallic orefield is situated in the southern section of the Great Xing’an Range(GXAR),which has experienced extensive *** the Paleozoic,there are two stages of magmatism in Hua’aobaote orefield occurred in the Paleozoic and *** Mesozoic magmatism is of great significance for the PbZn-Ag Polymetallic mineralization in Hua’aobaote *** this study,new geochemical data was obtained to discuss the timing and petrogenesis of the magmatic rocks and its geodynamic and metallogenic *** U-Pb ages reveal that the felsic igneous rocks from the Hua’aobaote orefield were formed in the Early Permian(294.8±3.2 Ma)and Early Cretaceous(132.6±1.4 Ma).Geochemically,the Early Permian granodiorite porphyrite is characterized by high Sr/Y(42-63)ratios and Mg^(#)(62.24-70.74)values and low heavy rare earth element(HREE)(5.09-6.79 ppm)*** granodiorite porphyrite is also characterized by depleted Sr-Nd initial isotopic signatures[ε_(Nd)(t)=5.91-7.59,(^(87)Sr/^(86)Sr)i=0.7029-0.7030],exhibiting adakitic *** Early Cretaceous granite porphyry and rhyolite are A-type felsic igneous rocks,and demonstrate high SiO_(2),Na_(2)O+K_(2)O and rare earth element(REE)contents,low CaO and MgO contents,low(^(87)Sr/^(86)Sr)i ratios(0.7044-0.7058),and positive ε_(Nd)(t)values(2.57-4.65).Whole-rock Pb isotopic compositions in granodiorite porphyrite are:206Pb/204Pb=17.631-18.149,^(207)Pb/^(204)Pb=15.422-15.450,and ^(208)Pb/^(204)Pb=*** granite porphyry and rhyolite have initial ^(206)Pb/^(204)Pb,^(207)Pb/^(204)Pb,and ^(208)Pb/^(204)Pb ratios of 18.106-19.309,15.489-15.539,and 37.821-38.05,***-Nd-Pb isotopic evidence suggests that the Early Permian granodiorite porphyrite is likely to derive from slab melts and modified by peridotitic mantle wedge in the subduction tectonic setting of the Paleo-Asian *** Early Cretaceous A-type felsic igneous rocks were derived from juvenile lower c

关键词： southern Great Xing’an Range Hua’aobaote zircon U-Pb age Sr-Nd-Pb isotopes metallogenetic and tectonic significance petrogenesis

Correspondence Between GHZ States and Oriented Links in Knot Theory

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Communications in Theoretical Physics 2002年第10期38卷 421-423页

作者： QIAN shang-Wu GU zhi-Yu physics Department Peking University Beijing 100871 China Physics Department Capital Normal University Beijing 100037 China

This article generalizes our previous results for a quantum system of two nodes to a quantum system ofm(m ≥ 2) nodes. It shows that there is a one to one correspondence between 2m GHZ states for a quantum system ofm(m ≥ 2) nodes and 2m oriented links of the linkage N1 in knot theory, where N = 4 C2m = 2m(m - 1) is the numberof crossings of the link with m components, the subscript 1 denotes the order of the unoriented m components link withN crossings, i.e. the first type, actually the simplest type.

关键词： GHZ states, oriented links in knot theory, inversion relations under the action of Pauli matrices

Relationship Between Two Classes of Shape-Invariant Potentials

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Communications in Theoretical Physics 2001年第10期36卷 391-394页

作者： QIAN shang-Wu GU zhi-Yu Department of Physics Peking University Beijing 100871 China Department of Physics Capital Normal University Beijing 100037 China

We show that two classes of shape-invariant potentials are interrelated to each other. For all one-dimensional shape-invariant potentials with parameters related by translation, i.e. the first class of shapc-invariant potentials (SIP1),we can find their multi-parameter deformations with q acting as the deformation parameter, i.e. the second class of shape-invariant potentials (SIP2) with parameters related by scaling. In order to get closed solution of SIP2, we consider two infinitesimal intervals, one is close to q= 0 another close to q = 1, and show that in these intervals we can get separately two first-order approximate solutions in closed form, furthermore we prove that all SIP1 can be obtained by the limiting procedures for corresponding SIP2.

关键词： shape-invariant potential, superpotential, multi-parameter deformation

The Homotopic Probability Distribution and the Partition Function for the Entangled System Around a Ribbon Segment Chain

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Communications in Theoretical Physics 2001年第12期36卷 691-694页

作者： QIAN shang-Wu GU zhi-Yu Department of Physics Peking University Beijing 100871 China Department of Physics Capital Normal University Beijing 100037 China

Using the Feynman's path integral with topological constraints arising from the presence of one singular line, we find the homotopic probability distribution PnL for the winding number n and the partition function PL of the entangled system around a ribbon segment chain. We find that when the width of the ribbon segment chain 2a increases,the partition function exponentially decreases, whereas the free energy increases an amount, which is proportional to the square of the width. When the width tends to zero we obtain the same results as those of a single chain with one singular point.

关键词： Feynman's path integral with topological constraints, homotopic probability distribution, parti tion function, entangled system around a ribbon segment chain

Parallelization of Lattice Boltzmann method using MPI domain decomposition technology for a drop impact on a wetted solid wall

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International Journal of Modeling, Simulation, and Scientific Computing 2014年第2期5卷 40-52页

作者： zhi shang Ming Cheng Jing Lou Institute of High Performance Computing Agency for Science Technology and Research(A*STAR)1 Fusionopolis Way#16-16 ConnexisSingapore 138632

Lattice Boltzmann method(LBM)is a new attractive computational approach for simulating isothermal multi-phase flows in computational fluid dynamics(CFD).It is based on the kinetic theory and easy to be *** study aims to analyze the performance of parallel LBM programming for the incompressible two-phase flows at high density and viscosity *** this purpose,a liquid drop impact on a wetted wall with a pre-existing thin film of the same liquid is simulated by using the parallel LBM *** the simulations,the domain decomposition,data communication and parallelization of the LBM code using the message passing interface(MPI)library have been *** computational results show that the parallel LBM code exhibits a good high performance computing(HPC)on the parallel speed-up.

关键词： Dropimpact two-phaseflow Lattice Boltzmann method MPI domain decomposition HPC

A transient single particle model under FCI conditions

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Nuclear Science and Techniques 2005年第5期16卷 315-320页

作者： LI Xiao-Yan shang zhi XU Ji-Jun Department of Nuclear Science and System Engineering School of Mechanics and Power Shanghai Jiaotong University Shanghai 200030

The paper is focused on the coupling effect between film boiling heat transfer and evaporation drag around a hot-particle in cold liquid. Based on the continuity, momentum and energy equations of the vapor film, a transient two-dimensional single particle model has been established. This paper contains a detailed description of HPMC (High-temperature Particle Moving in Coolant) model for studying some aspects of the premixing stage of fuel-coolant interactions (FCIs). The transient process of high-temperature particles moving in coolant can be simu-lated. Comparisons between the experiment results and the calculations using HPMC model demonstrate that HPMC model achieves a good agreement in predicting the time-varying characteristic of high-temperature spheres moving in coolant.

关键词： FCI 热物理学瞬时模型热力工程

Dual Space Analyzing Based on Symmetry Properties for Phonons of Si Quantum Dot

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Communications in Theoretical Physics 2002年第7期38卷 91-98页

作者： QIN Guo-Yi REN shang-Fen ZHANG zhi-Yong Department of Physics Nanjing University Nanjing 210093 China Department of Physics Illinois State University Normal IL 61790-4560 USA Department of Physics Tianjin Normal University Tianjin 300074 China

Phonon modes in spherical Si quantum dots (QDs) with up to 7.9 nm in diameter are calculated by using the projection operators of the group theory into valence force field model. The phonons of dot modes in each of five irreducible representations (symmetries) are classified by using a dual space analysis method. It is found that the bulk-like modes with localization radius much smaller than the dot's radius have clearly pronounced bulk specific-κdefinite bulk band (one in six modes). In Si dots of all sizes, each specific bulk-like dot mode has specific *** dot modes and bulk-like X-derived TA and LA dot modes red-shift in frequency with decreasing dot size. There is almost not LO/TO mixing for bulk-like modes. As for the surface-like modes localized at the periphery of the dot,their eigenmodes have not a dominant bulk specific-κ point parentage or a dominant BZ parentage around some special point. They are a superposition of many bulk bands with κ from all over the bulk BZ. They have much significant mode mixing than the bulk-like phonons. The classification of dot modes based on the symmetry of group theory will bring advantageous to the discussion of Ramam spectrum, electron-phonon interaction and other phonon-assisted effects in QDs.

关键词： phonon modes, quantum dots, dual space analyzing

Delayed diagnosis of ascending colon mucinous adenocarcinoma with local abscess as primary manifestation: Report of three cases

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World Journal of Clinical Cases 2021年第26期9卷 7901-7908页

作者： shang-zhi Han Rong Wang Kun-Ming Wen Department of Gastrointestinal Surgery Affiliated Hospital of Zunyi Medical UniversityZunyi 563000Guizhou ProvinceChina

BACKGROUND Colorectal mucinous adenocarcinoma is a distinct subtype of colorectal adenocarcinoma that is not sensitive to chemotherapy and radiotherapy,and its prognosis is worse than that of nonmucinous *** diagnosis and aggressive surgical treatment may be the key to improving the prognosis of *** colon mucinous adenocarcinoma with the primary manifestation of a local abscess caused by non-intestinal perforation has never been ***,since the lumen of the ascending colon is large,and early stage ascending colon cancer lacks typical clinical manifestations,the diagnosis may be delayed *** herein report three cases of delayed diagnosis of colorectal mucinous *** SUMMARY We present three patients(two females and one male)with mucinous ascending colon mucinous adenocarcinoma with the primary manifestation of a local abscess(the right area of the lumbar spine,right groin,and lower right abdomen)caused by non-intestinal *** the initial clinical visit,the common causes of those abscesses,including spinal tuberculosis and urinary tract infection,were *** treatment of the abscess was through an incision and ***,the source of the abscess was not made clear,which led to an abscess recurrence and a delayed diagnosis of colorectal mucinous *** the patients were referred to our hospital,a definitive diagnosis of ascending colon mucinous adenocarcinoma was made with the help of tumor markers and colonoscopic *** of the delayed diagnosis of the disease,two patients(case 1 and case 2)missed the chance of surgery due to disease progression and died in a short follow-up *** case 3 underwent radical surgery for the tumor in the right colon and partial abdominal wall resection and achieved a better *** Abscesses in the right area of the lumbar spine,right groin,or right lower quadrant caused by non-intestinal perforation as the prima

关键词： Delayed diagnosis Colorectal mucinous adenocarcinoma Local abscess Case report