推导出

Weak formulation of equilibrium equations including boundary conditions of laminated cylindrical shell are presented, and thermal stresses mixed state equation for axisymmetric problem of closed cantilever cylindrical shell is established.

导出层合柱壳轴对称问题的平衡方程和边界条件的弱形式，提供了方程和边界条件放在一起的算子形式，建立了悬臂柱壳轴对称问题的热应力混合方程，给出了正交异性层合悬臂柱壳在热荷载和机械荷载作用下的弱形式解·本文提出的方法弱化了求解方程和边界条件，化解了问题，具有一般性并便于推

In the field of logic such a process is known as induction, in contradistinction to the deduction process that leads to f=ma.

在逻辑学领域中，这样的过程统称为归纳，它与导出f=ma的推演过程截然不同。

In the case of inapplicability of hammering excitation to the arm of industrial robot for extracting its dynamic characteristics,according to the Duharmal integral theory and applying the specific upper triangle construction of input matrix of system as well as the technique of time average ,an efficient de-noising average recursive algorithm is presented in this paper.

针对锤击激励方式不适用于工业机器人操作臂动态性能测试的情况，根据Duharm a l积分理论，利用系统输入矩阵的上三角形的特殊结构，并结合时域平均技术，导出了具有抗噪性能的高效的求取系统脉冲响应函数的平均递推算法。

By analyzing the differences of three rank parameter curve from zero rank to three ranks, the interpolation successive formula is deduced.

通过对三次参数曲线 0 3阶差分的分析，导出了其插补递推公式，其中只包含加法运算，可以得到很高的插补速度。

By the delta matrix inverse lemma, the delta operator recursive least squares algorithm is derived, and convergence about DRLS is also proved.

基于Delta算子矩阵求逆引理，导出Delta算子最小二乘估计的递推算法，证明了DRLS的收敛性。

Algebraic formulas for calculation of modal field with given approximate value of propagation constant are also presented .

导出了用微扰法计算渐变折射率平面波导传播常数各级近似值的代数递推公式，并给出了由传播常数近似值计算模场近似表达式的代数公式。

Using the recursive formula and computer algebra system-Mathematica, the first six singular point values at infinity of the system are given.

对一类三次系统给出了计算无穷远点奇点量的递推公式，并在计算机上用计算机代数系统Mathematica推导出该系统无穷远点的前6个奇点量，进而导出了无穷远点成为中心和最高阶细焦点的条件，在此基础上得到了一个三次系统在无穷远点分支出6个极限环的实例，指出了极限环的精确位置。

The main contents are as follows:(1) Derive recursive Householder transformation formula for transforming the original rectangular matrix column by column into upper triangular matrix, solve the problem of fast upper triangularization of columnvariable matrix.

主要开展的工作有：（1）、导出长方矩阵逐列上三角化的递推Householder变换公式，解决了可变列矩阵的快速上三角化问题。

In this paper, first of all the fundamental principle of Kalman filter is described and a recurrence formula for Kalman filter by a state vector is derived. Then a mathematical model of machining error signals is developed taking a high precision leading screw lathe as an example.

本文首先阐述了卡尔曼滤波的基本原理，导出了卡尔曼滤波的递推表达式，然后以高精度丝杠车床为例建立了加工中误差信号的数学模型，并用PB-700型个人计算机仿真。

And thus we ve worked out a new recursion formula of power sum problem ,using it ,we can get the calculationg formula of all the power sum problem .

本文利用二项式定理得到K =8，9，10 ，11时幂和∑ni=1ik 的计算公式，较文[1 ] 中结果表达式简单，并推出了关于幂和问题的一个新的递推公式，利用它可导出所有幂和问题的计算公式。

Cynanchum Lingtai apricot production in the average weight 65 grams, the brightly-colored fruit, juicy rich, sweet-sour taste, sweet from the nucleolus, when the late Qing Dynasty famous Shaanxi, Gansu provinces, the Qing imperial court Tongzhi tribute for years.

灵台生产的牛心杏平均单果重65克，果实色泽鲜艳，汁多味浓，甜酸适口，离核仁甜，清末时就驰名陕、甘两省，清同治年间曾为朝廷贡品。

Chenopodium album,Solanum nigrum, and Amaranthus retroflexus were very susceptible to the herbicides. Polygonum persicaria and Abutilon theophrasti were relatively less susceptible to the herbicides, and Lycopersicon esculentum was not susceptible to it. The relationship between reduction rates of weed biomass and PPM values of weed leaves 2,4, and 6 days after treatment was established.

供试的6种杂草对该混剂的敏感性存在显著差异：红心藜Chenopodium album、龙葵Solanum nigrum和反枝苋Amaranthus retroflexus对该混剂最敏感，ED90值分别为47.65、71.67和29.17g/hm2；春蓼Polygonum persicaria和苘麻Abutilon theophrasti敏感，ED90值分别为96.91、114.20g/hm2；而番茄不敏感。