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三角形两个定理的证明和应用
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作者 张明龙 《中学数学月刊》 1997年第6期21-24,共4页
1 两个定理及推论 定理1 自△ABC所在平面内一点P向三角形三边作同向等角θ的射线,分别交BC、CA、AB边于点A<sub>1</sub>,B<sub>1</sub>,C<sub>1</sub>。
关键词 定理的证明 三角形 定理1 三角不等式 内切圆半径 两个定理 中学数学 定理2 正弦积 欧拉定理
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Functional Integrals and Variational-Cumulant Expansion in sine-Gordon-Thirring Model 被引量:4
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作者 YAN Jun 《Communications in Theoretical Physics》 SCIE CAS CSCD 2008年第10期893-896,共4页
The free energy in 1D sine-Gordon- Thirring model with impurity coupling is studied by means of functional integrals and variational-cumulant expansion methods. Two variational parameters are introduced to evaluate fr... The free energy in 1D sine-Gordon- Thirring model with impurity coupling is studied by means of functional integrals and variational-cumulant expansion methods. Two variational parameters are introduced to evaluate free energy and statistical averages. It is shown that the non-perturbation method of functional integrals can be applied to strongcoupling range of fcrmion systems. 展开更多
关键词 functional integrals variational-cumulant expansion sine-Gordon Thirring model
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Functional Integrals and Free Energy in sine-Gordon-Thirring Model with Impurity Coupling 被引量:5
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作者 YAN Jun 《Communications in Theoretical Physics》 SCIE CAS CSCD 2007年第4X期653-656,共4页
The free energy at low temperature in 1D sine-Gordon-Thirring model with impurity coupling is studied by means of functional integrals method. For massive free sine-Gordon-Thirring model, free energy is obtained from ... The free energy at low temperature in 1D sine-Gordon-Thirring model with impurity coupling is studied by means of functional integrals method. For massive free sine-Gordon-Thirring model, free energy is obtained from perturbation expansion of functional determinant. Moreover, the free energy of massive model is calculated by use of an auxiliary Bose field method. 展开更多
关键词 functional integrals free energy sine-Gordon-Thirring model
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