然后针对给定参数方程的曲线，提出一种圆弧拟和的实用算法。
And then, we provide an algorithm for approximating an arbitrary parametric curve by circular arcs.
这个方程的曲线将4 个可能的输入分成了两个对应于TLU 分类的区域。
The graph of this equation cuts the four possible inputs into two spaces that correspond to the TLU's classifications.
因为这个共存曲线，相图和克拉珀龙方程，都是对纯物质得到的。
Because this gas liquid coexistence line, this diagram, and this Clapeyron equation, is all done for a pure substance.
我们主要还是关注，参数方程的运用，主要是一维的，比如直线、曲线等。
So, we have mostly focused on the use of parametric equations just for one dimensional objects, lines, and curves.
对一个非球面反射镜进行了实测并对测量结果进行插值运算，进而拟合出零件面形的曲线方程。
An aspherical reflector is tested and testing data are processed by the interpolation calculation, then the curve equation of the component surface shape is fitted.
因此，很多非线性演化方程都与曲线和曲面运动有着密切的关系。
So many nonlinear evolution equations have been shown to be closely related to motions of curves and surfaces.
在此参数表示下，模糊数可直接视为二维度量空间r 2中的有界连续曲线，这给分析模糊微分方程带来了便利。
By the parametric representation, fuzzy number means a bounded continuous curve in the two-dimensional metric space R2, so that it is easy to analyze fuzzy differential equations.
文中也提出了利用分划曲线来判定系统特征方程具有全部负实部根的方法。
Methods of using the D-decomposition curves to judge whether all the roots of the characteristic equation possess a negative real part are also discussed.
本文用空间解析几何方法，推导了在一般非平行斜入射光条件下，裂纹体表面所形成的反射焦散线和初始曲线的方程。
The equations of caustic curve and its initial curve for a crack illuminated by an oblique incident light beam in reflection arrangement were deduced using the space analytic geometry method.
许多有意思的非线性演化方程都与曲线运动有着密切的关系。
Many interesting nonlinear evolution equations have been shown to be related to motions of curves.
通过水分特征曲线方程对试验数据的拟合，研究了拟合参数随干密度的变化情况。
A equation was used to fit the data of SWCC, and the relation between fitting parameters and dry density was studied.
从理论上讲，通过坐标轴旋转将二次方程化简为规范形式，从而讨论其曲线的形状，这已是讨论得相当明了的课题。
Theoretically speaking, it is a rather-clearly discussed subject to standardize the quadratic equation into the normal forms by spinning the coordinate axis so as to approach the shapes of its curves.
介绍一种在非交错网格上，求解非正交曲线坐标系下的流动控制方程的方法。
This paper presents numerical solution for governing equation of flows in curvilinear coordinate system with nonstaggered grids.
该方法以测量的应变值为基础，由拟合的曲线方程计算接头载荷，并与试验时施加的总载荷对比。
In this method, based on the measured strain values, the joint load is calculated by the fitted curve equation and compared with the total load applied during test.
浅水波。方程的导出。线性化及其解。辐射过程。所有浅水波方程的特征曲线和激波。
Shallow water waves. Derivation of the equations. Linearization and solution. Radiation conditions. More on characteristics and shocks, now for all Shallow water equations.
在试验研究的基础上，本文还给出了CFR P绞线筋的粘结应力-滑移曲线的理论方程，并提出了CFR P绞线筋的相对粘结特性系数的设计建议。
In addition, bond stress-slippage curves of CFRP strands and design Suggestions for coefficient of relative bond properties of CFRP strands are presented based on the tests.
凡是可以表示为矢量参数方程的正则曲线，都可以用该方法进行插补。
Any regular curve that can be expressed by the vector parameter equation may be interpolated by this method.
应用龙格库塔法解非线性方程得到了该问题的数值解，给出了圆柱体随着柱体高度的直径变化曲线。
The numerical results of the nonlinear formula were obtained by Runge-Kutta method, and we have also obtained the curve of diameter of the example.
本文分析了成型铣刀刀刃曲线的几何性质，推导出它的数学方程，求取铣刀上圆盘刀片中心坐标，为成型铣刀的计算机辅助设计奠定了理论基础。
This paper analyses the geometrical character of curve of edge of form milling cutter, and infers the mathematical equations of curve, The center coordinates of conical button-shaped are evaluated.
由计算得到的氧化回归方程与氧化曲线的相关系数可达到0.9以上，高温氧化烧损量与温度和时间均呈抛物线规律。
The relation coefficient between regression equation and oxidation curve is over 0.9 and the rules of oxidation - temperature and oxidation - time are parabolas.
利用凸轮机构的分析理论，获得了加工DD680系列汽车制动凸轮的轮廓曲线方程和加工该靠模凸轮的刀具中心轨迹方程。
The profile equation of brake cam of DD680 series motor vehicles and tool path equation for processing copying cam have been obtained by using analytical theory of cam mechanism.
本文论述曲线族的方程为关于参数的三次方程时，其包络曲线方程的初等求法。
This paper discussed an elementary solution to the envelope of a kind of family of curves of which the equation was one of the cubic equations in regard to a parameter.
在产量衰减曲线方程的基础上，通过数学推导，得到了一种对数型产量衰减曲线方程。
Based on production decline curve equation, through mathematical derivation, a kind of logarithmic type production decline curve equation is obtained.
本文讨论了参数方程和极坐标方程表示的曲线的对称性，给出了判定这两种曲线的对称性的充分条件。
In this paper, the symmetry of curved lined given by parametric equation and polar coordinates equation is discussed and the sufficient conditions are given.
从非饱和土土水特征曲线方程出发，根据渗透函数和土水特征曲线的关系，推导出了非饱和土渗透函数方程。
Based on the equation of soil water feature curve and the relationship between soil water feature curve and permeability function, the permeability function equation of unsaturated soil is derived.
平面解析几何对“求过二次曲线外的点所引曲线切线的方程”的问题，未给出一般的方法和公式。
The problem of attaining the tangent equation of a certain point on a quadratic curve is basically solved in plane analytical geometry.
给出了多项式参数方程定义的参数曲线的有效隐式化算法，此算法主要是基于矩阵理论。
This paper presents an efficient algorithm for the implicitization of parametric curves defined by polynomial parametric equations, which is mainly based on the theory of matrices.
给出了非圆齿轮的节曲线极坐标方程，两齿轮中心距的计算方法，节曲线长度、基础圆半径和压力角的计算公式。
The polar equation of non-circular gear pitch curve, calculation method of center distance, formula of pitch curve length, primary circle radius and pressure Angle is given.
并直接推出了二级曲线的五种标准方程。
And five standard equations of conics are also directly deduced.
《材料力学》中出现的弯矩方程、挠曲线近似微分方程、挠曲线方程的定义域不尽一致。
The definition domains of the moment equation, the approximate differential line of deflection equation and line of deflection equation in Material Mechanics are quite different.
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