积分曲线

In this thesis,we consider the problem basing on the Picard-Fuchs equationand bifurcation theory,also using known methods and techniques.We establish therelationship between the number of zeros of the Abelian integral and the number ofintersection points of the"centroid curve"with any straight line.

本文以Picard-Fuchs方程和分岔理论为基础，充分利用已有的方法和技巧，把对Abel积分零点个数的研究转化为对"质心曲线"和任意直线交点个数的研究。

In mathematics, the integral of a function of several variables defined on a line or curve that has been expressed in terms of arc length .

数学中，定义在直线或曲线上的多元函数的积分。

This paper is devoted to studying the asymptotic behavior of the intermediate point in the mean value theorem for first form curve integrals.

摘要讨论了第一类曲线积分中值定理"中间点"的渐近性质，得到了更具一般性的新结果。

The principle and system structure of direct measurement method and indirect measurement methods （ including thrust wall pressure integral method and ballistic pendulum method） are introduced.

针对脉冲爆震发动机瞬时推力、平均推力测量问题，介绍了直接测量法和间接测量法（包括推力壁压力曲线积分法和抛物摆法）的测量原理及系统构成。

Simulations based on finite integration method are carried out in a wide frequency range for a balanced feeding finite wide-angle biconical antenna and many results including input impedance and far fields are obtained.

利用基于有限积分法的电磁场仿真技术对平衡馈电的有限长宽角双锥天线作了计算，得到了天线在很宽频带内输入阻抗、远区辐射场与频率的关系曲线。

This limit is called the line integral of f along C from A to B with respect to arc length; that is

时 ，该黎曼和有极限，该极限就叫做沿曲线从 A 到 B 对弧长的曲线积分。

To analyze the feature of dam-break flow in natural channel bends,channel-fitted orthogonal curvilinear coordinate system is established and two-dimensional shallow water equations are derived in this system through coordinate transformation,simplification and depth integration.

为分析溃坝波在天然弯曲河道中传播的特点，建立了跟踪河道走向的正交曲线坐标系，并通过坐标变换、简化和水深积分推导出了曲线坐标系下的二维浅水方程。

First, structure tensor is calculated to gain vector field for characterizing local structure of image. And then, total variation partial difference equation is imposed for smoothing vector field. Based on this we use line integral convolution for guide the stroke to generate virtual special effect image with fluctuant sense. Last, mergering with original real image, cylindrical panorama with virtualized relationship controlled by time can be generated, which accomplished the character of surpass the time and space in virtual reality system.

该方法通过计算结构张量获得图像曲线走向矢量场，以此刻画图像局部结构；并采用全变分偏微分方程对曲线走向矢量场自适应滤波平滑处理；在此基础上利用线积分卷积指导画笔走向模拟生成线条波动感虚化效果图像；最后结合原始真实图像和虚化效果图像，实现了一种基于时间变量的柱面场景虚化关联算法，并为虚拟现实系统超越现实时空的需要提供了一种新思路。

For example, Donagi and Witten found that the spectral curves of these integrable many body systens are identified with the Seiberg-Witten curves of the Seiberg-Witten theory. More recently, Dijkgraaf and Vafa found the information about the superpotentials of the chiral fields in some N = 1 SUSY gauge theories from the planar diagram of certain matrix integral.

例如，Donagi和Witten等人发现可积系统的谱曲线和Seiberg-Witten理论中的Seiberg-Witten曲线相互等价，Dijkgraaf和Vafa等人从正则矩阵积分的平面图中找到了N=1的超对称规范理论中手征场的超势的一些信息，同时N。

The POSS-based hybrids were characterized by FTIR,~1H-NMR,~(29)Si-NMR and UV. The POSS content in the hybrids were determined using three kinds of different methods and could be effectively controlled by varying the POSS feed ratio.4. It was estimated that about 5~8 vinyl groups in POSS participated in the copolymerization reactions by the ~1H-NMR spectra.

分别采用FTIR、~1H-NMR、~(29)Si-NMR和UV等方法对五个系列POSS基高分子材料进行了表征，证实POSS已与共聚单体发生了聚合反应；并通过红外标准曲线和紫外标准曲线以及核磁积分面积对共聚物中POSS的含量进行了计算，发现可以通过投料比来控制共聚物的组成。

Plunder melds and run with this jewel!

掠夺melds和运行与此宝石！

My dream is to be a crazy growing tree and extend at the edge between the city and the forest.

此刻，也许正是在通往天国的路上，我体验着这白色的晕旋。