I have a parametric equation for my surface.
有曲面的参数方程。
That is a parametric equation for the sphere.
那是球体的一个参数方程。
And, so when we think of the trajectory of the moving point, that's called a parametric equation.
而当我们考虑运动点的轨迹的时候，轨迹可以称作是参数方程。
The geometric meaning for the parametric equation of ellipse is a familiar thing (See example 1).
椭圆的参数方程的几何意义是众所周知的(见例1)。
Finally it summarizes the traits of problems which are suitable for using the parametric equation.
最后总结了适宜用参数方程解题的题型特点。
Numerical example showed that the parametric equation is rational to describe the shape of mooring line.
算例表明，描述锚链线形状的参数方程是合理的。
So, now, just to show you that we can do a lot of things when we have a parametric equation, here is a small mystery.
现在我们可以做很多事情了，因为我们有了参数方程，现在有一件神秘的事。
An algorithm which can draw any complex surfaces expressed by explicit equation or parametric equation was given.
提出了显式方程和参数方程表示的曲面的一种绘制算法，该算法可以绘制任意复杂的方程曲面。
Author presented a concise gradual derivation about higher derivative whose function defined by parametric equation.
求由参数方程所确定的函数的高阶导数，提出了一种较为直观、简便的逐次求导方法。
In this paper, the parametric equation and radiation field formulas for a parabolic torus reflector antenna are given.
本文给出了抛物环面天线的参数方程和辐射场公式。
This paper describes the geometric meaning for the parametric equation of hyperbola and parabola, respectively (see examples 2 and 3).
本文将分别对双曲线、抛物线的参数方程阐述几何意义(见例2、例3)。
We are finding a parametric equation for the sphere using two variables phi and theta which happen to be part of the spherical coordinate system.
我们建立有两个变量φ和θ的球面的参数方程,它们恰好是,球坐标系统的一部分。
Based on the parametric equation, an interpolation algorithm for parabola in CNC system is proposed, interpolation time and error are analyzed.
基于参数方程，推导出了CNC系统中抛物线插补的一种方法，并对该算法进行了实时性和误差分析。
Based on this kind of crack element, and by introducing parametric equation of ellipse, a new method for estimating stress intensity factor is proposed.
基于这种裂纹单元，作者引入椭圆参数方程，推出一种计算裂纹前缘点应力强度因子的新方法。
By the solution of the model, a calculating formula of the local dihedral angel of intersecting line and a parametric equation of contacting line are given.
通过对此数学模型的求解，导出了相交双管相贯线上各点局部二面角的计算公式，给出了相交双管装配接触线的参数方程，并解释了其数学本质。
In this paper, the symmetry of curved lined given by parametric equation and polar coordinates equation is discussed and the sufficient conditions are given.
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。
Based on the new method, the paper discusses an inverse mapping of rational parameter surface, also, the implicit equation of the parametric equation is obtained.
用该方法对基于有理参数曲面的逆映射进行了一些探讨，并得到参数曲面的隐式方程。
From commonly used equation of calculating plane figure quadrature, formulas of calculating plane figure quadrature by applying curve parametric equation can be deduced.
从由曲线普通方程求平面图形面积的公式出发推出在各种情形下由曲线参数方程求平面图形面积的公式。
This paper infers the parametric equation of the quadric B-spline curve, introduces its character, and gives the special method of process when the curve is approximated.
本文推导出计算机绘图中的二次B一样条曲线的参数方程，介绍二次B一样条曲线的性质，并给出在逼近曲线时的特殊处理方法。
When a inverse function of monotone function can not show the explicit formula, the distribution density curve of continuous randon variable can be gained with a parametric equation.
当单调函数的反函数不能显性表示时，连续型随机变量的分布密度曲线仍可通过参数方程的形式获得。
When optimizing synchro update of the quaternion, the quaternion differential equation is calculated by using minimum parametric method.
采用最小参数法求解四元数微分方程，优化了四元数实时更新算法。
In this paper, the existence and uniqueness theorems of solution of a class Non-monotonic parametric stochastic operator equation with piecewise contraction property is discussed.
本文讨论了一类非单调的具有分段压缩性质的含参数随机算子方程组的解的存在性和唯一性。
A nonlinear parametric excitation equation is obtained for ships in longitudinal waves, and the dynamic stability is analyzed when the natural frequency of heave and roll are approximately equal.
本文建立了在纵浪上航行船舶的非线性参数激励横摇运动方程，研究了当升沉固有频率接近横摇固有频率时船舶的稳定性。
Based on the vector equation, a real time interpolation algorithm for the cubic parametric spline curve in CNC systems is proposed.
根据三次参数样条曲线的矢量表示方法，导出了一种CNC系统中样条曲线的实时插补算法。
In this paper, parametric variation method is used in kinematic equation of series excitation direct current motor with different turning velocities.
本文用参数变异法给出串激直流电动机在不同转速情况下的运动方程的解析解，以拓宽人们分析这类问题的思路。
In this paper, analytical solutions of a nonlinear equation of parametric excited roll motion are given, and some features of the solutions are analysed.
本文给出了参激横摇运动非线性方程的频域解析解，分析了解的若干特性。
A variable length simple pendulum model is introduced, elementary analysis and perturbation analytic solution of nonlinear differential equation for parametric resonance are presented.
采用可变长度单摆的力学模型对秋千振荡给出初等分析，采用微扰近似法导出了秋千的非线性参数共振解析解， 并进行了讨论。
A variable length simple pendulum model is introduced, elementary analysis and perturbation analytic solution of nonlinear differential equation for parametric resonance are presented.
采用可变长度单摆的力学模型对秋千振荡给出初等分析，采用微扰近似法导出了秋千的非线性参数共振解析解， 并进行了讨论。
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