three dimensional torus
- three dimensional torus的基本解释
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三维环面
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By the numerical analysis of the ultimate bearing capacity of two- and three-dimensional footing under combined loading mode, the results show that the effect of alteration of underground water lever on bearing capacity of three-dimensional foundation is more than on that of two-dimensional foundation, the effect of soil gravity on bearing capacity of three-dimensional foundation is more than that of two-dimensional foundation. At the same time, the numerical calculation process of ABAQUS indicates that whether the geostatic stress is balanced or not has great effect on the numerical convergence. In view of the effect extent of dilation angle of soil on the ultimate bearing capacity and the failure pattern of foundation, the condition of two-dimensional plane strain is higher than that of the three-dimensional foundation.
复合加载模式下,通过对三维矩形基础和二维条形基础进行数值分析,结果表明:黏性土地基中地下水位的变化,对三维矩形基础极限承载力的影响程度高于对二维条形基础的影响;在求解地基极限承载力的过程中,土体重度对三维矩形基础的影响明显高于对二维条形基础的影响,同时ABAQUS数值计算过程表明,地基土体地应力能否合理平衡,对数值求解过程中是否收敛有很大的影响;就土体剪胀角对地基极限承载力的影响程度而言,二维平面应变情况下土体剪胀角对极限承载力的影响比三维情况下的影响更明显,即土体剪胀角对条形基础极限承载力的影响高于三维矩形基础。
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Every connected, compact Lie groups G contains a maximal torus T. This maximal torus is unique up to conjugation, and every element of G is conjugate to the element of the maximal torus.
每个连通紧李群具有极大环面子群,任二极大环面子群彼此共轭,且连通紧李群中每个元素共轭于极大环面的一个元素。
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Next in section 2.3,usingthe finite isolated regular representations in SO(3)character varity of 〓,weobtained a computation formula of SO(3)Donaldson invariants with degree 1 of4—manifold 〓(Theorem 2.3.1).Finally in section 2.4 wediscussed the Donaldson invariants of 4—manifolds with smoothly embedded 2—torus 〓 whose selfintersection is +1,with the help of the single irreducibleSU(2)representation of the principal 〓—bundle over a 2—torus with Eulernumber—1,we got a gluing formula of the Donaldson invariant on the 2—homology represented by 2—torus 〓(Theorem 2.4.1),it is a supplement of P.
最后在§2.4我们讨论了具有自交数为+1的嵌入环面〓的4—流形的Donladson不变量,运用环面上欧拉数为-1的圆丛的单个不可约SU(2)表示给出了Donaldson不变量在环面表示的同调类上的一个粘合公式(定理2.4.1),这一结果补充了P。
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three dimensional torus:三维环面
three dimensional space 三维空间 | three dimensional torus 三维环面 | three eighths rule 八分之三法