解析曲线

And finally,the dominant characteristics are extracted which are composed of representative vectors of faces through analyzing the eigencurves using Fourier describer.

作为对人面特征的描述，最后利用傅里叶描绘子对特征曲线进行解析提取关键特征，得到人面的表征向量。

In the first four sections of this paper, these basic knowledge and calculational methods for the study of potential energy function are simply introduced. 9-parameter Murrell-Sorbie analytical potential energy function that can accurately describe especial potential energy function of diatomic molecule is obtained through calculations and analysis for the first time.

本文前面部分在简单介绍与分子势能函数研究相关基础理论知识和计算方法的基础上，通过计算、分析比较，首次得到了能够正确描述双原子分子特殊势能曲线的九参数Murrell-Sorbie解析势能函数。

This is another novelty of this method. For a family of parameters, the analytical solutions of parabolic PDEs are given using the new method in this paper, the result schemes are posed.

给出了一类抛物型偏微分方程的解析解，并给出了其与差分数值解法所得到的解的比较，比较曲线表明了这种新解法的正确性。

Improve the accuracy of the initial rotor position estimator by using the Fourier series expansion.

在永磁同步的马达启动方面，则透过送出不同向量空间角度的定子电压向量脉冲所量测到的d轴定子电流的大小来估测转子的初始位置，并利用d轴定子电流在空间向量角度以2π为周期的特性，应用傅立叶级数分析做曲线拟合的方式提高转子位置估测解析度，以提高转矩/电流比节省不必要的功率浪费。

The OH stretching band of water has been resolved by deconvolution and Gaussian curve fitting.

用去卷积和高斯曲线拟合的方法解析了水的OH伸缩振动谱带。

The Gibbs phenomenon should be considered in interpreting the numerical curve of the transient solution with infinite integral derived by the method of separation of variables.

计算结果表明，在求解由分离变量法所得的无穷积分解析解的数值曲线时，吉布斯现象的存在具有普遍意义。

Based on forecasting model, five algorithms are presented, that is, 1 algorithm for free motion of the plant when the analytical solution is available, 2 numerical differentiation algorithm, 3 improved numerical differentiation algorithm, 4 sensitivity matrix algorithm and 5 reference integral curve method.

推导了具有预测模型的算法的形成过程，指出了这种算法的物理实质，给出了基于预测模型算法的五种具体算法：1、系统自由运动有解析解时的算法；2、数值微分算法；3、改进的数值微分算法；4、灵敏度矩阵算法；5、基准积分曲线方法。

On the basis of the lumped physical-mathematical model of interior ballistics given in reference 1,this paper gives a detailed discussion about the conditions leading to the formation of pressure plateau in the combustion chamber of a RLPG,and derives the analytical relationship between the jet area and other parameters under which the pressure plateau can be formed.

在文献1建立的RLPG集总参数内弹道学数学物理模型的基础上，对RLPG压力平台产生的条件进行了详细的探讨，推导了满足压力平台的喷孔面积与膛内其它参量之间的解析关系式，编制了计算程序，处理了计算过程中所产生的压力振荡问题，获得了工程设计中实用的产生压力平台的中心杆半径与其行程的变化关系曲线。

In order to find out the biomechanics feature of three joints muscles o f lower limbs by using new skates in push-off phase of speed skating, this article combines the kinetic data obtained by Cybex-Norm and kinematic data obtained by tridimensional analytics by employing the Newton interpolation polynomial f or the first time, draws the curve of muscles moment of two elite female speed- skaters in push-off phase of speed skating, and analyzes the change feature of muscle strength, so as to find out the reasons of less power output and provide reference for training and the improvement of sports results.

摘 要：为了找出使用新冰刀后蹬冰时下肢三关节肌群的生物力学特性，首次利用数值计算中的牛顿插值法，将等动测试获得的动力学数据和三维立体解析获得的运动学数据结合，绘出两名优秀女子速滑运动员实际蹬冰时肌群力矩的变化曲线，并分析肌力变化特点，找出两人做功明显不足的原因，为指导训练和提高运动成绩提供定量依据。

In chapter 4, the case of risk asset allocation with allowed sell and restricted short sell is discussed, especially in case of restricted short sell, the efficient frontier piecewise partition is determined by using duality theory in parametric quadratic programming. And the concept of tripartition is introduced, economic meaning stated and algorithm to determine efficient frontier proposed.

特别对限制卖空的证券组合，应用参数二次规划对偶性理论解决了有效边缘曲线分片划分的问题，并引入了三元分割的概念，解释其经济意义，同时给出确定有效边缘的算法；对于协方差矩阵是奇异的情况，利用矩阵分块技术，得到不同情形下有效边缘的解析表达式，并用直观的几何图形描述，克服了M-V模型在实证分析中遇到的困难。

As she looked at Warrington's manly face, and dark, melancholy eyes, she had settled in her mind that he must have been the victim of an unhappy attachment.

每逢看到沃林顿那刚毅的脸，那乌黑、忧郁的眼睛，她便会相信，他一定作过不幸的爱情的受害者。

Maybe they'll disappear into a pothole.

也许他们将在壶穴里消失