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它进一步说明一个四元流形的截面曲率的估计对许多对称黎曼空间都是有效的。
It proves that the estimate sectional curvature of a quaternion manifold is very useful for Riemann symmetric space.
考虑桩周土体及桩–土接触的非线性，建立了空间轴对称有限元模型；
The spatial axisymmetric finite element model is established considering the nonlinear of the soil and the interface between pile and soil.
最后，证明了在一些经典赋范空间中对称性的双正交元存在。
Finally, the existence of symmetry biorthogonal elements in some classical normed Spaces is proved.
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