查询词典 integral curve

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。

It gives a relationship between a surface integral over an oriented surface and a line integral along a simple closed curve .

它建立了有向曲面上的曲面积分与它的边界曲线积分的关系。

In this paper, the waved-edge force model is deduced on the basis of straight edge force model by use of the curve integral principle. This method is suited to the case for the complex 3-D grooves of random curve edge.

在直线刃铣刀片模型的基础上，利用曲线积分原理，建立了波形刃铣刀片铣削力数学模型，该方法可适用于任意曲线刃的三维复杂槽型的情况。

The general formula to calculate the rotating surface area which is shaped by rotating the curve c in xoy plane around the L-axis by using curve integral.

依据所证得的通用计算公式推证得到，在某些特定情形下利用定积分计算旋转曲面面积的具有针对性的公式。

Based on the Guldin's first theorem, it was deduced that the general formula to calculate the rotating surface area which is shaped by rotating the curve Г in a plane around the L-axis in the space by using curve integral.

依据古鲁金第一定理推证，得到利用曲线积分计算空间某一平面上的曲线Г绕直线L旋转而成的旋转曲面面积的通用公式；利用曲线积分计算xoy面上的曲线c绕直线L旋转而成的旋转曲面面积的通用公式。

For the first time,Curve equations of flight profiles have been developed using differ-ential and integral calculus method and curve equation of three kinds of flights were giv-en:equal cross-section distribution flights,equal angular distribution flightsand equal horizontal diameter distribution flights.

提出更全面的评价抄板撒落物料特性的数学模型，完成了计算抄板撒落物料特性的计算机程序，绘制了抄板撒落物料的特性曲线，并且以单元撒落密度偏差总和最小为目标，对抄板的结构参数进行优化设计。

The maincontents of this thesis include:Firstly,by using inherent relationship between region integral and curve integral,designing the image transform operator,a novel snake model using both boundary andregion information was proposed,which more directly integrated the prior knowledgeincluding region information with the traditional deformable model,so that the abilityabout evolving contour curve was improved.

本论文将以严密的数学理论、可靠的物理原理和实际的应用背景为出发点，研究这一图像处理和分析的基本问题，并相应开展了以下几个方面的工作：首先，本论文利用区域积分与曲线积分之间转化的内在联系，通过设计相应的图像变换算子，提出了一种基于边缘与区域信息的图像可变形轮廓提取模型。

The mixing ratio is calculated with single coal positive state distribution curve equation integral, the operation is simple, the calculating result is unique, whether single coal reflection distribution curve is not overlapped or partially overlapped, the distribution curve is applicable.

按单煤正态分布曲线方程积分计算混合比，操作简单、计算结果唯一，无论单煤反射率分布曲线是否有部分重叠均适用。

Ifandare continuous functions andis a smooth curve C which runs from a to b asvaries, then the corresponding line integral with respect to coordinate variables or line integral of the second type is expressed as follow

定义 设和是连续函数，是一光滑曲线，从a变到b，则对应的关于坐标的曲线积分或第二类曲线积分为

According to the plane cross section assumption, configuration of a rod is expressed as a history of the cross section with arc coordinate. A special solution which stands for equilibrium in straight line state is obtained from differential equilibrium equation. Linear perturbation equation is derived and its general solution is obtained in which the integral constants are determined by constrained conditions at two ends of the rod. The condition of existence of non zero solution of the integral constants gives to the Greenhill formula of exact elastic rod model, which shows that the boundary of stable area is a closed curve and of symmetry, and inference of shearable and extensible to stability of the rod is depend on three factors: difference between flexibility of shear and extension of a section of the rod, bending stiffness and the length of the rod.

基于平面截面假定，弹性杆的位形表达为截面的弧坐标历程，根据平衡微分方程得到了两端受力螺旋作用时的直线平衡特解，导出了线性化扰动方程及其通解，积分常数根据两端铰支时的边界条件确定，并根据其存在非零解的条件得到弹性直杆精确模型的Greenhill公式，表明稳定域为一对称的封闭区域，拉/压和剪切对稳定性的影响取决于：拉/压柔度与剪切柔度之差，抗弯刚度和杆长这三个因素

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。