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三次曲线

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The numerical algorithm based on theories of projecting and Laguerre,such as homology,circular points and ω of absolute conic is established,an iterative elimination method is applied to boost the nonlinear problem solving.

通过调和射影及Laguerre定理的推论求解出平面圆环点的共轭虚像,利用平行六面体照片存在的三对圆环点的虚像,构造对无穷远平面绝对二次曲线的像ω的约束,使用辗转相除法求解非线性问题。

Let K be the 3 cyclotomic field, Esubscript D(superscript λ: y^2=x^3-2^4 3^3 D(superscript λ) be an elliptic curve defined over K, where D∈K is a square-free algebraic integer and λ∈Z.

设K为三次分圆域,E下标 D(上标λ:y^2=x^3-2^4 3^3 D为定义在K上的椭圆曲线,其中D为K中无平方因子的代数整数,λ∈Z。

In this research a new mathematical model - cubic polynom with two given derivatives at end points - was proposed which can good match the S-shpae curve.This model has a number of analytical features:describing the geographic phinomena prosesses in three hierarchies (textural fractal,structural fractal and state fractal); the boundary values of the structural fractal can be considered as the boundary values of interval of scaleless.

在研究中提出了扩展分维表达函数:带导数三次多项式,它能很好地表达反S形分布曲线,具有一系列解析特征:可从三个层次(纹理分形、结构分形和态势分形)上描述地理现象或过程;其中结构分形的边界可近似地看作是非扩展分维无标度区的上下界。

The molecular weight dependence of the distribfition of polymer molecules between the coacervate and the dilute phases on the phase separation of polymethylmethacrylate-acetone-methanol system has been proved to follow the relation first derived by Flory for binary systems: f"_j/f′_j = Qe~_j where f"_j and f′_j are the weight fractions of the polymer molecules of molecular weight M_j in the coacervate and in the dilute phases respectively, while Q and σ are parameters.

1。聚甲基丙烯酸甲酯-丙酮-甲醇体系的两次分相实验用θ-溶剂中的沉降速度法测定分相前试样和浓相的分子量分布曲线,得到高分子在浓稀相重量分配的分子量依赖关系 f_j=Qe~证实Flory的溶度函数形式与实际相符,并适用于三元体系的相分离,但Q值与两相体积比R值并不相同。 2。再分级使级分的分子量分布宽度随再分级次数的增加而减小,通常认为到第三次再分级其效果已不显著并不确实。

A typical 3-RPS parallel platform manipulator mechanism is firstly studied by means of the above theory. The principal screws of this mechanism under three different configurations are identified by means of the conic section and the quadric degenerating theory, respectively.

以上述理论为武器首先分析典型的3-RPS并联平台机构,分别应用二次曲线分解理论和二次曲面分解理论,识别了该机构在三种位形下的主螺旋。

Inequalities in the proof of college entrance examination, often with the series, conics, trigonometric functions,"Three Second," the number of permutation and combination of combining the answers to questions.

高考中证明不等式问题,常常是与数列、二次曲线、三角函数、"三个二次"、排列组合数等相结合的解答题。

The method comprises the following: a step of calibrating a camera, which is to utilize a Taylor series model to calibrate an omni-directional vision sensor so as to obtain internal parameters of the camera; a step of obtaining epipolar geometric relation, which comprises the steps of calculating an essential matrix between binocular omni-directional cameras and extracting the rotation and translation component of the cameras; a step of correcting an outer polar line, which is to correct the outer polar line of a shot omni-directional stereo image so as to allow a corrected polar quadratic curve to coincide with an image scan line; and a step of three-dimensional reconstruction, which is to carry out feature point matching to the corrected stereo image and calculate the three-dimensional coordinates of points according to matching results.

该方法的步骤包括:相机标定:利用泰勒级数模型对全向视觉传感器进行标定,得到相机内参;对极几何关系求取:包括计算双目全向相机之间的本质矩阵,并从中提取相机的旋转和平移分量;外极线校正:对所拍摄的全向立体图像对进行外极线校正,使校正后的极二次曲线与图像扫描线重合;三维重建:对校正后的立体图像对进行特征点匹配,根据匹配结果计算点的三维坐标。

The research results showed that: The accuracy of dimidiate pixel model is better than that of the experiential model during the vegetation retrieval.The curve degree of the cubic curve fitting is the best during the three built experiential models, but the experiential model is very simple and used widely.

研究结果表明:植被盖度反演中,像元二分模型的精度高于经验模型的精度,在建立的三个经验模型中,又以三次拟合曲线的拟合度最高。

The paper reviews the development in the analytical theory of mechanical behavior of composites, pointing out the problems existed, presenting creatively the concept of yarn state, solving the descriptive problem of perform structure of any woven composites and laying the foundation for predetermining the elastic behavior of 3-d woven composites with computer. On the basis of yarn state, the relative cross section deformation theory is introduced, the yarn cross section deformation is studied, and the experiential formula is described in the paper on the basis of experiment. The crimping state of yarn is studied, the classical "straight warp view"is modified, and the crimp height value of crimped yarn is studied. At the same time, with shrinkage rate sine method, the paper proposes the idea which imitate the shape of crimped yarn. With the third power template curve, the paper describes the microgeometry structure of fabric, finding a brief and precise approach for the calculation of mechanical behavior of composites.

本文回顾了复合材料力学性能分析理论的发展,指出了存在的问题,创造性地提出了纱态概念,解决了任意结构机织复合材料预制件结构表征问题,进而为用计算机预报三维机织复合材料的弹性性能打下了基础;基于纱态概念,提出了相对截面变形理论,研究了纱线截面变形情况,在实验的基础上给出了纱线截变经验公式;研究了纱线屈曲状态,修正了传统的&地经纱直线论&,提出了以纱线缩率研究屈曲峰谷值的思想,同时以三次样条曲线拟合了纱线的卷曲形状,较好地描述了织物的细观几何结构,为复合材料力学性能的计算找到了一条既比较简便又比较精确的途径。

In chapter three the performance and structure of components of oxygen probe were especially investigated. The Cr-Cr〓O〓 powder was overcome by treatments. The reason of occurrence of thermal peaks on the EMF curves was explained. A water glass based cement which high temperature insulation was around 10MΩ within 10 seconds at 1600℃ was developed for the use of oxygen probe. The effects of tip end thickness of ZrO〓 tube and amount of reference electrode on response time and thermal equilibrium in oxygen probe were investigated. The optimum tip end thickness of ZrO〓 tube and amount of reference electrode addition were determined. It is found that the heat transfer in oxygen galvanic cell is the rate limiting-step in the response process. The national oxygen probe WOS Ⅱ type was designed and manufactured. By three batches of industrial tests its specification reached the level of American Celox Ⅱ type oxygen probe.

在第三章中分别从参比电极、高温绝缘水泥、插接件等组元入手,着重分析了其性能和结构,开发出了适合于钢液定氧用的Cr-Cr〓O〓参比电极,解决了Cr-Cr〓O〓参比电极高温产生收缩问题,解释了电动势曲线产生峰值的原因;开发了适合于定氧测头使用的水玻璃基耐火水泥,其高温绝缘电阻在1600℃,10秒以内为10MΩ左右;同时对ZrO〓管头部厚度、参比电极量对响应时间的影响以及定氧测头中的热平衡进行了研究,得出了合适的ZrO〓管头部厚度和参比电极加入量,确定了氧浓差电池中的传热是响应过程的限速步骤;设计制造了国产WOSⅡ型定氧测头,进行了三次现场定氧测试,其技术指标达到了美国Celox型定氧测头的水平。

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Yang yinshu、Wang xiangsheng、Li decang,The first discovery of haemaphysalis conicinna.

1〕 杨银书,王祥生,李德昌。安徽省首次发现嗜群血蜱。

Chapter Three: Type classification of DE structure in Sino-Tibetan languages.

第三章汉藏语&的&字结构的类型划分。