边界曲线

This result is a higher-dimentional analogue of the Fundamental Theorem of Calculus: it expresses the integral over D of some kind of derivative of P and Q in terms of an integral of P and Q over the boundary of.

格林公式建立了曲线积分和二重积分的关系 O 这是微积分基本定理在高维情形的推广：它将上P、Q某种形式的导数的积分用的边界上 P、 Q 的积分表示出来。

The boundary of the crack domain is constructed with the standard Koch fractal curve and the elastic strain energy of the plate is given out by using the perimeter-area relation of the fractal crack domain.

以标准Koch分形曲线构造裂纹的边界，并由分形区域周长与面积的关系推导出平板的弹性应变能。

NURBS has become a representation standard for geometric design systems since 1990.However, it is difficult to model complicated objects with only one NURBS surface patch due to its rectangular domain, and it still suffers from serious limitations in surface stitching.

九十年代以来，NURBS曲线曲面已经成为计算机辅助设计系统的表示标准，由于NURBS曲面定义在矩形域上，难以直接用一张NURBS曲面来整体表示复杂曲面，需要采用分片构造的方法才能达到目的，使得拼接边界处的光滑性也受到了严重限制。

First, based upon the fields in the single cavities, open and short modes are constructed, whose coupling holes on disks are shorted magnetically and electrically respectively. Second, the whole field in the chain is expanded with the short and open modes. With the Galerkin method and the second vector Green theorem, it is possible to describe the physics problem by a simple general eigenvalue matrix equation. Here, the dispersion curves in periodical structures are available.

它首先利用有限元等方法计算各加速单腔中的电磁场，根据一定规则构造成所需的开模和闭模，然后把整个长腔链加速结构中的场用这些开模和闭模展开，再利用伽略金方法和第二矢量格林定理进行数学变换，考虑各模式在加速腔壁和腔间耦合孔处的边界条件后，就能把加速结构中电磁场用数学上的广义本征值矩阵问题描述，从而能够得到所求的色散曲线和电磁场形态。

The right and left borderline of face is approximately determined according to improved vertical gray-level projection, and the height of human eyes is also approximately determined according to horizontal gray-level projection.

该算法先利用改进的人脸图像的垂直灰度积分投影确定脸的左右边界，再根据人脸图像的水平灰度投影曲线来确定眼睛的大致高度。

The titanium border grade of Panzhihua is identified by means of statistical and infinitesimal calculus(referring to the data of Yunan's titanium properly) to get optimum application.

通过用统计和曲线积分方法(并适当参考云南钛砂资源的资料)来确定调查区合理的钛砂矿边界品位，达到矿产资源的最优利用；以规则的取样投影图形代替水平投影，对传统的地质块段法储量估算进行了数学纠正以得到合理的估算参数，并对调查区钛砂资源进行了远景储量估算。

Author considered the inflexion behavior of latex systems result from the limit effect of fluid.

作者也讨论了乳胶粒子体系流动曲线中的拐点行为，认为这种拐点行为是由流体边界造成的。

Data ofeffective parameters in line heat forming in shipyard are measured , and the effect principles oftemperature stress, order of heating line , curvature of plate,boundary condition and secondheating on shape formed are qualitatively analysed,and its curves and data tables are presented.

通过对船厂实船板加工数据的测量，定性分析温度应力、加热线顺序、加工板曲率、边界条件及二次加热对成型效果的影响规律，并给出其变化曲线和数据对比。

First,the center spine profile and the boundary profile were designed according to the normal trend of lumbar curvature and the position of shoulder rest and lumbar rest.

首先在保证腰弧曲线的正常形状和保证肩靠与腰靠的正常高度与宽度的前提下，设计了骨架靠背的中心脊线轮廓和边界轮廓线；利用中心脊线和边界线上取等比例点并构造样条线的方法，设计了横向断面线。

The interpolate algorithms of three-order NURBS curve and double three-orders NURBS surface are presented. The expressions of partial derivative and normal curvature of NURBS surface are derived by the theory of differential geometry. The geometric characteristics of different curvature area of the free-form surfaces are analyzed in detail. All these work lays a theoretical foundation for constructing the cutter location calculating model of free-form surfaces NC machining. 2 On the basis of analyzing the methods of cutter path generation, the standard of evaluating the various methods of cutter path generation is presented. The method of generating cutter path with constant scallop height is presented for the first time.

本文以提高复杂曲面多坐标数控加工精度和加工效率为目的，在对国内外研究现状进行深入分析的基础上，对数控编程中各环节的关键技术问题进行了深入研究，主要内容包括以下几方面： 1 分析了复杂曲面各种造型方法的优缺点，给出了根据各种边界条件所确定自由曲面的NURBS表示方法以及三次NURBS曲线曲面反算算法；用微分几何理论推导了NURBS曲面的偏导矢及法曲率计算表达式；对曲面不同曲率特性区域的几何特征进行了深入分析，为建立复杂曲面的数控加工刀位计算模型奠定了理论基础。

In the United States, chronic alcoholism and hepatitis C are the most common ones.

在美国，慢性酒精中毒，肝炎是最常见的。

If you have any questions, you can contact me anytime.

如果有任何问题，你可以随时联系我。