Approximate formula for calculating parabola and the length of ellipse arc

In this paper, another deducing method is introduced firstly for computing arc length of plane curve. Then the paper discusses the general method for computing arc length of space curve, and a general formula of computing arc length is presented.

首先给出了平面曲线的弧长计算公式的另一种推导方法，然后讨论了空间曲线弧长的一般计算方法，并给出了计算公式。

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According to the principle of calculating meridional arc length, a novel practical formula is given in this paper.

根据子午线弧长的计算原理，推导出一个新的子午线弧长计算实用公式。

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This paper puts forward some practical formulae of measuring the area and arc length of arch form, and analyses the relative error of these formulae.

文章提出弓形面积和弧长计量的实用公式，并分析了该公式的相对误差。

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The analytic formulas and derivative formulas on temperature loads vectors, surface loads vectors, gravity loads vectors, and rigidity matrix are derived based on design variable.

分析了拱坝所受荷载的各种工况，分别推导了在温度荷载、面荷载以及自重荷载作用下，荷载向量的解析表达以及对设计变量的求导公式。

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In this paper some partial derivatives of a matrix function with respect to a vector variable are derived first. By using of these derivatives, the representation of the normal approximation for any distribution density function of a random vector is given.

本文首先推导了若干矩阵函数对向量变量的求导公式，并以此为基础对任意的随机向量，给出其分布密度函数的正态迫近表示。

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The third order polynomial of torque-torsional angle equations were used for fitting the experimental results to obtain the torsional rigidity formula.

建立了对转矩转角实验曲线采用3阶多项式拟合，然后求导得到刚度公式的方法。

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A Simple and Practicable Solution to Function-product Derivative Two Equations with One Unknown on Matrix of Product

一种使用矩阵乘积表示一元函数两项乘积求导公式的简易方法

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The formula to get the derivatives of complicit functions

隐函数的求导公式

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The Unified Demonstration on Formula of.

隐函数求导公式的统一证明。

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the third group of induction formulas

第三组诱导公式

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the second group of induction formulas

第二组诱导公式

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the fourth group of induction formulas

第四组诱导公式

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The Unity of Different Equation for Induced Normal Curvature

关于几个诱导法曲率公式的统一

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Following the brief introduction to the principle of toroidal drive, the speed ratio equation is deduced by means of formula method.

本文简述了圆环传动原理之后，利用转化机构原理，导出了传动比计算公式；利用圆矢量函数和活动标架理论，建立了圆环螺旋线方程式、圆环齿面方程式及诱导主曲率公式；

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This paper presents algorithms for calculating induced potentials and velocities due to some singularity patches in common use. The algorithms will be available for reference in evaluating the inviscid flow problems by singularity distribution method.

给出无界域中常用面元上分布奇点的诱导速度势和诱导速度的计算公式，可供用分布奇点法求解各种势流问题时参考。

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Computational Formula for Induced Normal Curvature of Two Conjugate Tooth Surfaces along Normal Direction of Contact Line

两共轭齿面沿接触线法向的诱导法曲率计算公式

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A formula is deduced for the velocity induced by the vortices in two-dimensional shallow water flows and it is used to correct the Biot-Savart law.

建立了二维浅水流动的旋涡诱导速度公式，在已知旋涡场和胀量场时，由该表达式可确定流动速度场。

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according to civil law, the death penalty criminals are people with full civil liability who have the ability and the right to make a will in line with the law and their own intentions.

按照《民法通则》的规定，死刑犯是具有完全的民事行为能力的人，具有按照法律规定和自己的意志立遗嘱的能力和权利。

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however, minors do not have full capacity for civil conduct as adults, so in order to protect the property rights of minors, which are bound to benefit from legal protection.

然而，未成年人又不像成年人那样具有完全的民事行为能力，可以独立进行民事行为，因此为了保护未成年人的财产权益，必然要借助于法律的保护。

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living donor organ transplantation has some special subject, first of all, must be a relative behavior between the donors in order to be allowed by law; secondly, the donor must be at least 18 years of age with full civil capacity.

活体器官移植中的主体有一定的特殊性，首先，必须是亲属之间的捐献行为才能被法律所允许；其次，供体必须为年满18岁的具有完全民事行为能力的人。

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