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However,authors still do not find the relevant references on convergence and symmetric problems of the semi-analytical solution.Based on the semi-analytical solution for Hamilton canonical equation theory,the formulations of the clamp and simply supported and symmetric boundary conditions on the Hamiltonian element are derived by the variational principle.Several numerical examples show that with increase of meshes,the convergence rate of the semi-analytical solution is faster than the convergent rate of traditional finite element method based on displacement.

①在厚度上没有任何位移和应力模式的假设，由于传递矩阵方法的引入，从理论上讲，不受板壳厚度或层合板壳层数的限制；②采用弹性力学的Hamilton正则方程半解析法，可以克服边界的局部化效应[8]；③由于在平面内或圆柱壳的曲面内采用了有限元法，所以一般的板壳问题不受结构侧面边界条件的限制，在复杂工程板壳问题上具有广泛的应用领域。

Firstly, the modified H-R variational principle for elastic material was briefly presented, then the quadratic interpolation functions were used to express the out-plane stresses and displacements variables, consequently the formulation of 8-node isoparametric element for Hamilton canonical equation was derived in detail.

首先简要地介绍了弹性材料修正后的H-R变分原理，然后用二次插值函数表示平面外应力和位移变量，并详细地推导了Hamilton正则方程的八节点等参元列式。

Based on the phase-space generating functional of Green function, the canonical Ward identities for non-local transformation have been derived.

黄永畅 ，唐太明，李子平基于相空间Green函数的生成泛函，导出了非定域变换下正则形式的Ward恒等式。

Based on the phase-space generating functional of Green function, the canonical Noether identities under the local transformation at the quantum level have been derived.

基于Green函数的相空间生成泛函，导出了定域变换下的量子正则Noether恒等式

Based on the relationship between the discrete-time difference equation and its observable state-space canonical form, the explicit solution to Diophantine equation in generalized predictive control is derived.

利用被控对象的离散差分方程与其状态空间能观标准型之间的关系，推导出广义预测控制中Diophantine方程的显式解，从而避免了其递推求解，使广义预测控制的应用更加方便。

All that is known for certain concerning him is derived from the canonical Gospels.

所有这就是众所周知的某些关於他的将是来自典型福音。

He composed a mass in which all the parts are derived canonically from one musical line.

他曾经作过一首所有声部都从推动一条旋律线起进行卡农化的弥撒曲。

Taking into account the data fusion and confidence measure, a Mahalanobis distance is derived. The technique is applied to face retrieval and its canthus detection. Experimental results show that the proposed approach can reduce adverse effects of feature detection errors and enhance the pattern recognition rate.

以人脸检索及其中的眼角检测为例，进行了多算法结果的融合并讨论其置信度，说明该文提出的方法能有效降低模式分类时错误检测参数的不利影响，提高模式识别率。

In chapter 2 it is derived that the power is proportional to the capacitance that has to be charged.

在第2章获得力量与必须被充电的电容是比例。

We have developed a three dimensional (3D) compositional mathematical model for two phase flow and derived a new 3D streamline model with capillarity and gravity effects.

在建立起可动凝胶深部调驱的油水两相多组分数学模型的基础上，推导出了考虑重力和毛管力的三维流线模型，将求解饱和度的三维问题转化为一维问题。

And Pharaoh spoke to Joseph, saying, Your father and your brothers have come to you.

47：5 法老对约瑟说，你父亲和你弟兄们到你这里来了。

Additionally, the approximate flattening of surface strip using lines linking midpoints on perpendicular lines between geodesic curves and the unconditional extreme value method are discussed.

提出了用测地线方程、曲面上两点间短程线来计算膜结构曲面测地线的方法，同时，采用测地线间垂线的中点连线和用无约束极值法进行空间条状曲面近似展开的分析。