公式

Moreover,we also gave the proofs of generalization formula of integration by parts,the Green s formula of first type and the Green s formula of second type by using the divergence theorem .

首先指出数学分析中反映二重积分和第二类平面线积分联系的Green公式可以看成是散度定理的一种特殊情形，然后利用散度定理给出广义分部积分公式、第一Green公式和第二Green公式的证明

According to a given function, namely, composite trapezoidal formula using composite Simpson formula Romberg quadrature formula and the variable step-size integration quadrature formula results, and compare the accuracy of points.

详细说明：根据给定的函数，分别用复合梯形公式、复合辛普森公式、龙贝格求积公式和变步长的求积公式计算积分结果，并且比较积分的精确度。

On the base of the analysis, the following standpoints are presented definitely. There is no such a so-called zone with low density near the inwall of the lining. Upon the explosion terminates, the mortar would lose characteristics of the fluid. The compression strength of the lining layer formed by explosion is higher than that of a reference block tested.

在假定材料服从Tresca屈服准则或Coulomb屈服准则的条件下，得到了圆形井筒和球形腔体最大扩张压力p〓的计算公式；衬砌材料塑性区应力σ〓、σ〓和土体塑性区的应力σ〓、σ〓的计算公式；土体弹性区的应力σ〓、σ〓和径向位移u〓的计算公式；衬砌材料与土体交界面半径R〓以及土体中弹塑性区交界面半径R〓的计算公式。

Right and left inverse matrices of parameter matrices are proposed and their updating formulae are also derived.

本文也给出了参数矩阵的右逆公式和左逆公式，以及它们的校正公式从而获得重要的算子公式。

The formula was established about calculating design parameters and technological parameters of ideal strip and bent strip in the period of forming. The thesis presented how to calculate the deformed area length and contact are radius of contact deforming between two elastic bodies on condition of the friction. The calculating formula of pinch force about plate-strip pinch mill was given and the results were analyzed that friction coefficient and radius of pinch rolls are very important for determining pinch force. Moreover, the rule of deforming and stress distribution of different 〓 ratio were gained on condition that the deforming was considered to be non-uniform distribution in the gap. The differential equations were got that calculate the displacements of large deflection of elastic cantilever rectangle plate with fixed end and the formula of the Finite Strip Method was conducted to study the regularity of mid-plane displacements, deformation and stresses for elastic-plastic large deflection bend of cantilever parallelogram plate with fixed or slidable end by integrating Prandtl-Reuss equation.

建立了一套完整的设计参数计算公式和在成型过程中理想带钢或具有月牙弯带钢的工艺参数的调整公式；在考虑摩擦力的条件下，对两弹性体接触变形过程中的接触变形区长度和接触弧半径用位移解法进行了研究，推导了板带递送机的递送力计算公式，从而得知在递送机设计过程中，应选择适当摩擦系数和辊身直径；另外，还从辊缝内带钢实际变形出发，分析了对于不同的〓值，带钢的变形规律及应力分布状况；建立了固定端悬臂矩形板弹性大挠度弯曲变形的控制方程，并且在对Prandtl-Reuss方程的积分处理的基础上，导出了固定端和滑动端悬臂平行四边形薄板的弹塑性大挠度的中面伸展位移、变形和应力的有限条元法公式，编写了Fortran语言计算程序，在各种参数条件下，对螺旋焊管成型过程变形规律进行了全面的分析研究，从而为螺旋焊管的生产和进一步的改进提供了理论依据。

In prime number distributed research process,and through established one kind of new sieve method and the stair theory,this article obtained about three group of prime number distribution recurrence formula: The 1st is not bigger than x the prime number integer recurrence formula;The 2nd is not bigger than x the twin prime integer recurrence formula;The(3rd Recurrence) formula.

在研究素数分布过程中，通过创立一种新的筛法与台阶理论，得到关于素数分布的三组递推公式：不大于x的素数个数与孪生素数对数量的递推公式；不大于x的孪生素数个数的递推公式；任意偶数x≥6表为两个奇素数之和与孪生素数对数量对数的递推公式。

In order to satisfy the needs of the economical management and the engineering project, the paper gives three empirical formulae by the stepwise multiple regressiveness and main analysis methods to calculate the quantities of the machinery in the forest area of China. The formula(11) is used for accurate calculating.The formula (16) is used for simplified calculating and the formula (17) is used for roughly calcu!

为了满足宏观经济管理和工程规划的需要，本文利用逐步多元回归和主分量分析建立估算林区机械总量的经验公式，其中公式(11)是精确计算用，公式(16)是常用简化计算式，而公式(17)是粗略估算式。

As an approximate method,with the trigonometric function,the simple pendulum dynamical equation is simplified,and the approximate formula for the period of simple pendulum movement is presented.Comparison is made between approximate formula and exac...

对近似公式和精确公式进行了对比，最后进行了数值计算，结果表明，所得到的单摆运动周期的近似公式在大多数情况下都与精确公式符合的很好。

Optical Formula Recognition is not only the sign of formula recognition, but also include the extraction of the formula, the record of two dimension structure of the formula and so on.

数学公式的识别不仅只是公式中符号的识别，其还包括了公式抽取，公式二维结构的记录等方面的研究。

Tab stop set up after the front of the cursor on the formula, click the Tab key, so that the formula, insert the words in a tab, when the formula in place as the central tabulation center Align Center and then the cursor moved between the formula and the left bracket, and then Tab key insert a tab, go to line number on the end.

设置好制表位后，把光标放在公式的前面，按一下 Tab 键，这样就在公式的前面插入了一个制表符，此时公式以居中制表位为中心居中对齐，再把光标移到公式和左括号之间，再按 Tab 键插入一个制表符，编号就跑到行末了。

Plunder melds and run with this jewel!

掠夺melds和运行与此宝石！

My dream is to be a crazy growing tree and extend at the edge between the city and the forest.

此刻，也许正是在通往天国的路上，我体验着这白色的晕旋。