查询词典 analysis formula

The emphases of the article are the formula region search, the sign of formula division, the positional information of sign record, the sign of formula recognition and so on.

本文重点研究了汉字文章中公式区域的查找、公式中字符的分割以及其位置信息的记录、公式中字符的识别等。

In this research, we try to find a more practical formula for calculating the impact force of boulders. We infer an academic formula from the elastic collision theory. Then, in the experiments, we simulate the impact by debris flow with mixed diameters in order to correct the result formula. We hope we can provide a reference for future slit dam design and debris flow prevention.

本研究目的为利用弹性体碰撞理论，推求出巨砾冲击力之理论式为基础，藉由实验方式，以混合粒径模拟土石流撞击梳子坝，来修正推算出之冲击力理论式，求得一个更符合实际撞击情形之巨砾冲击力计算式，期能对尔后梳子坝设计及土石流灾害防治问题，提供一设计之参考。

When using relative number or average number to get averaging, you may use denominator or numerator of this relative number or average number as weight number to weigh the relative number or average number,and use frequency formula or weighted harmonic mean formula of weighted arithmetic mean formula to get its mean value.

在由相对数或平均数求平均数时，可以以这一相对数或平均数的分母或分子为权数，对这一相对数或平均数进行加权，利用加权算数平均数的频数公式或加权调和平均数公式求其平均值。

In this paper, full-space late-time and all-time apparent resistivity formula was derived based on homogeneous full-space response equation of central loop. By comparing with half-space formula and analyzing measured data, the application efficiency of this formula was studied.

从全空间中心回线源响应公式出发，推导了全空间晚期和全区视电阻率公式；通过与半空间公式比较和对实测资料的分析，研究了全空间视电阻率公式的应用效果。

The main content of this thesis is to find and prove some summation and transformation formulae of basic hypergeometric series by the modified Cauchy method,operator method and inversion techniques,which include many well-known results as special cases,for example,q-Saalschiitz summation formula,Baileys _6ψ_6 summation formula,non-terminating Watson transformation formula and Rogers-Ramanujan identities etc.

本文的主要内容是利用修正的Cauchy方法、算子方法和组合反演技巧来发现和证明一些基本超几何级数求和公式和变换公式，其中包含一些著名的公式，如q-Saalschüz求和公式、Bailey的_6ψ_6求和公式和非终止的Watson变换公式等作为其特殊情况。

For example, in a calculus course it's not terribly difficult to memorize the formula for integration by parts for integrals. However, if you don't understand how to actually use the formula and identify the appropriate parts of the integral you will find the memorized formula worthless.

例如，你会发现通过微积分来学习微积分学是很容易的，但是，如果你不了解怎么正确地使用这些公式和区分不同的微积分，你会发现你所学的公式都是毫无用处的。

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

A formula of rock resistant coefficient is derived based on unified strength theory, which can be adopted to obtain rock resistant coefficient in other situations or strength thoeries simplified by assuming the parameter value in the formula. The strength differential effect, intermediate principal stress effect and the ground water permeation effect are considered in the formula.

基于统一强度理论，将巷道围岩视为多孔介质，考虑地下水渗流作用的影响，推导出了巷道围岩抗力系数计算统一公式，改变公式中的参数可以退化为其他围岩条件或者其他强度理论条件下的围岩抗力系数计算公式。

After building big data storage structure and constructing decimal code array, an algorithm for high-accuracy value of two-dimensional normal distribution is built through using Laguerre Polynomial expansion, and accelerating operation with Compound Simpson formula, Compound Cotes formula and Romberg formula.

以数组作为大数存储结构，解决受到计算机字节长度制约无法实现高精度运算的问题；并引入复化辛普森公式、复化柯特斯公式和龙贝格公式加速收敛，最终得到所需要的结果。

This paper introduces the Taylor formula of one dollar and multi-definition, then the proof of the value from the formula, respectively, that inequality in the value of derivatives is estimated that about industry estimates, demand infinity limit, the median point of the limit function limits, approximation, function equations and so on Taylor formula to do the induction.

本文首先介绍了一元和多元泰勒公式的定义，然后分别从证明中值公式，证明不等式，导数的中值估计，关于界的估计，求无穷远处的极限，中值点的极限，函数的极限，近似计算，函数方程中的应用等方面对泰勒公式的应用做了归纳。

Now she was hungry and angry.She began to smoulder.

现在她又饿又气，她开始流露难以抑制的怒火。

You have placed our iniquities before You, Our secret sins in the light of Your presence.

诗90：8 你将我们的罪孽摆在你面前、将我们的隐恶摆在你面光之中。