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实对称型上的Schur子空间及应用 被引量:9
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作者 陈胜利 姚勇 《数学学报(中文版)》 SCIE CSCD 北大核心 2007年第6期1331-1348,共18页
本文构作了Schur型多项式,将其作为研究实对称型的基础.研究了具有零点(1,1,...,1)的实对称型形成的子空间,即Schur子空间.建立了这种子空间的构造性理论,并应用于计算(构造)实代数几何中比较关心的对称型正性判定问题,以及给出一些特... 本文构作了Schur型多项式,将其作为研究实对称型的基础.研究了具有零点(1,1,...,1)的实对称型形成的子空间,即Schur子空间.建立了这种子空间的构造性理论,并应用于计算(构造)实代数几何中比较关心的对称型正性判定问题,以及给出一些特殊类型的Hilbert第17问题的构造解. 展开更多
关键词 实对称型 Schur子空间 Schur 构造代数几何
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Schur型基的一般构造算法
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作者 徐嘉 李佳琦 《西南民族大学学报(自然科学版)》 CAS 2011年第1期13-18,共6页
本文研究了具有零点(1,1,…,1)的实对称型形成的子空间,可用平方型表示的子空间,以及可用Schur型表示的子空间的相互关系.证明了这三个子空间是同一个子空间。
关键词 实对称型 Schur子空间 Schur
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三元Schur基的新证法与推广
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作者 徐嘉 《西南民族大学学报(自然科学版)》 CAS 2010年第6期914-919,共6页
本文利用单项字典序的概念,采用比较首单项的方法给出了对称型三元Schur基的新证法.又以三元Schur基为基础,使用列举首单项的方法,进一步构造了一般n元m次对称型空间的Schur基.并给出了一些应用.
关键词 实对称型 Schur基 单项式字典序
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Theory and experimental verification of valveless piezoelectric pump with rotatable unsymmetrical slopes 被引量:8
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作者 ZHANG JianHui XIA QiXiao +3 位作者 HUANG Yi LENG XueFei HUANG Jun ZHAO ChunSheng 《Science China(Technological Sciences)》 SCIE EI CAS 2011年第11期3070-3077,共8页
A valveless piezoelectric pump with rotatable unsymmetrical slopes is developed in this research.It has the following features:The pump integrates driving and transporting,and it can mix different fluids while transpo... A valveless piezoelectric pump with rotatable unsymmetrical slopes is developed in this research.It has the following features:The pump integrates driving and transporting,and it can mix different fluids while transporting them.In this paper,firstly,the design of the valveless piezoelectric pump with rotatable unsymmetrical slopes was proposed,and the single-direction flow principle was explained.Then,the fluid mechanics model of the valveless piezoelectric pump with rotatable unsymmetrical slopes was established.Meanwhile,the numerical simulation of the pump was performed.Finally,the experiments on relationship between the rotation angles of the slope and the flow rates were conducted.The experimental results showed that the maximum flow was 32.32 mL min 1.The maximum relative error between the theoretical results and the experimental ones was 14.59%.For the relationship between rotation angles and flow ratio of two inlets,the relative error between the experimental and theoretical maxima was 3.75%.Thus,the experiments proved the feasibility of the pump design and verified the theory. 展开更多
关键词 PIEZOELECTRIC PUMP valveless rotatable unsymmetrical slope
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Parity Symmetry and Parity Breaking in the Quantum Rabi Model with Addition of Ising Interaction
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作者 王琼 贺志 姚春梅 《Communications in Theoretical Physics》 SCIE CAS CSCD 2015年第4期510-514,共5页
We explore the possibility to generate new parity symmetry in the quantum Rabi model after a bias is introduced. In contrast to a mathematical treatment in a previous publication [J. Phys. A 46(2013) 265302], we consi... We explore the possibility to generate new parity symmetry in the quantum Rabi model after a bias is introduced. In contrast to a mathematical treatment in a previous publication [J. Phys. A 46(2013) 265302], we consider a physically realistic method by involving an additional spin into the quantum Rabi model to couple with the original spin by an Ising interaction, and then the parity symmetry is broken as well as the scaling behavior of the ground state by introducing a bias. The rule can be found that the parity symmetry is broken by introducing a bias and then restored by adding new degrees of freedom. Experimental feasibility of realizing the models under discussion is investigated. 展开更多
关键词 parity symmetry parity breaking Rabi model scaling behavior
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Two Higgs Doublet Model Ⅲ and Double-Lepton Polarization Asymmetries in Λ_b →Λμ^+μ^- Decays
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作者 王帅伟 黄金书 《Communications in Theoretical Physics》 SCIE CAS CSCD 2016年第8期211-218,共8页
Using the form factors calculated both in lattice QCD and HQET, we analyze the branching ratio, doublelepton polarization asymmetries and averaged double-lepton polarization asymmetries of Λ_b →Λμ^+μ^- decay in t... Using the form factors calculated both in lattice QCD and HQET, we analyze the branching ratio, doublelepton polarization asymmetries and averaged double-lepton polarization asymmetries of Λ_b →Λμ^+μ^- decay in the2 HDM Ⅲ, respectively. Combining the experimental constrains on the 2HDM Ⅲ parameters, we take two set of representative parameter spaces in our calculations. For the branching ratio of Λ+b →Λμμ-decay, considering the uncertainties of the form factors and input parameters, we find the results of both SM and 2HDM Ⅲ can satisfy the current experimental data in the framework of lattice QCD, but not in HQET. Then we calculate the double-lepton polarization asymmetries Pij and their averaged values Pij, we find the double-lepton polarization asymmetries PLT,PNN, and PTT are sensitive to the 2HDM Ⅲ. However, PLN, PNL, PNT, and PTN show the opposite results. The contribution of the 2HDM Ⅲ to their averaged values have similar results. 展开更多
关键词 decay of baryons 2HDM double-lepton polarization asymmetries
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