查询词典 integral curve

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。

At last,for the double integral which the boundary curve of its domain of integration is denoted by the panameter equation, we will supply a directed method which do not eliminate the parameter.

对积分区域的边界曲线由参数方程表示的二重积分，我们也将给出两种不经消参数而直接计算的方法。

By discussing the position hypothesis of fractional-dimension derivative about general function and the formula form the hypothesis of fractional-dimension derivative about power function, the concrete equation formulas of fractional-dimension derivative, differential and integral are described distinctly further, and the difference between the fractional-dimension derivative and the fractional-order derivative are given too. Subsequently, the concrete forms of measure calculation equations of self-similar fractal obtaining by based on the definition of form in fractional-dimension calculus about general fractal measure are discussed again, and the differences with Hausdorff measure method or the covering method at present are given. By applying the measure calculation equations, the measure of self-similar fractals which include middle-third Cantor set, Koch curve, Sierpinski gasket and orthogonal cross star are calculated and analyzed.

通过讨论一般函数的分维导数的位置假设及幂函数的分维导数的形式假设，进一步明晰了幂函数的分维导数、分维微分及分维积分的具体方程形式，给出分维导数与分数阶导数的区别，随后讨论了基于一般分形测度的分维微积分形式定义导出的自相似分形的测度计算方程具体形式，给出了其与目前 Hausdorff 测度方法的区别，并对包括三分 Cantor 集合、 Koch 曲线、 Sierpinski 垫片及正交十字星形等自相似分形在内的测度进行了计算分析。

This function is a kind of orthonormal function, and it can approximate almost any curve in quadratic continuous integral space, thus it enhances the generalization ability of the SVM.

该核函数不仅具有平移正交性，而且可以以其正交性逼近二次可积空间上的任意曲线，从而提升了支持向量机的泛化性能。

First,the convex hull points of the characteristic region such as eyes,mouth etc. are confirmed,and,the integral contour points are obtained by fitting the curve.Then,the coordinate of the contour and the corresponding points of the adapted facial model are transformed to a new coordinate.At last,the model is adjusted in the new coordinate to get a good adaptation between the human facial model and human face image by revising the corresponding detail data in the model.

首先，对检测出的眼睛、嘴巴等特征区域，确定出其外凸包点集，通过曲线拟合得出其完整外轮廓，然后对此轮廓点以及已经粗调的对应模型点进行坐标转换，在转换后的坐标系中，对模型中相应的细节数据进行修改，实现模型和人脸图像的配准。

This paper studies the curvilinear integral ∮ L[xn-1yn-1]/[x2n+k2y2n]where L is a sectioned smooth and no multiple points closed curve, n is some natural number, k is some positive number.

本文研究曲线积分x~(n-1y~(n-1)/x~(2n+k~2y~(2n)，其中L是公段光滑无重点的闭曲线，n为某一自然数，k为某一正数。首先利用极坐标变换将曲线积分化简，然后对n、L不同情况给出相应结果

On the basis of 414 soil profiles from 14 provinces, it was found that soil organic carbon, differing from soil inorganic carbon and other elements, has a trend of exponentially decreasing with depth. Integral analysis of exponential curve contrasting with the linear model affords the uncertainties of linear model and exponential model for carbon storage calculation. It was found that the integration of TOC with the linear model has errors between +20% to +100%, much higher than that of the exponential model (-10% to +20%).

在收集分析14个省市414条的土壤剖面数据的基础上，发现土壤有机碳的垂直分布与无机碳和其他元素不同，存在指数分布规律，运用面积积分运算方法发现利用直线模型计算土壤有机碳库的误差(+20％~+100％)远大于指数模型的误差(-10％~+20％)。

Properties are discussed for a class of exponential sum function on recurrence relationship,integral formula,it has been proved that its curve configuration is single peak and it is a probability density,the application of this function is showed in proving equalities and a differential equation model of substance transform reaction.

对一类指数和函数的递推关系、积分公式、曲线的单峰形态等性质进行了讨论，证明了该函数为概率密度函数，并给出了该函数在等式证明、物质转化反应的微分方程模型等方面的应用。

In this article we induce and study the physical background ,definition, quality ,and calculating method of the curve and surface integral of the first kind ,and at the base of these , calculate formula and providence was proposed in the special coordinate transformation.

摘要本文归纳研究了第一型曲线积分与曲面积分的物理背景，定义，性质及计算方法，并在此基础上给出了它们在特殊坐标变换下的计算公式及证明。

A systematic study on computing the integral curvature line on NURBS surface is presented. Discrete normal is used to simplify calculation of the second fundamental form of the surface, resulting in accelerating the Euler iteration process in solving the differential equation of curvature line. Discrete points on the curvature line are then obtained and approximated by an explicitly presented B-spline curve on the NURBS surface using singular mixed interpolation and capable of controlling the error within a given tolerance.

对NURBS曲面的曲率线的积分进行了系统的公式推导，并利用NURBS曲面的离散法向量有效地简化了曲面第二基本量的计算，加速了Euler法迭代求解曲率线微分方程的过程；在求得曲率线上的离散点集以后，应用奇异混合插值技术，在可控精度内把曲率线用显式直接表示为位于NURBS曲面上的B样条曲线。

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。