线积分

As to its computing methods, this paper synthesizes six kinds, they are: utilizing a general integral method of complex function directly; utilizing Cauchy integral theorem; utilizing Cauchy integral formula; utilizing Cauchy high-level differential coefficient; utilizing Cauchy residue theorem; utilizing the residual of logarithm.

关于周线积分的计算方法，本文综合了六种，它们分别是：直接利用一般的复变函数积分的方法；利用柯西积分定理；利用柯西积分公式；利用柯西高阶导数公式；利用柯西留数定理；利用对数留数。

So-called contour integral is an integral whose integral route is contour.

所谓周线积分是指积分路径是围线的积分。

The field mapping of booster model dipole for SSRF is performed by taking point measure ments using the Hall probe, integrated field data is obtained by calculation of point measurement re sults, and a study of pole ends chamfering is done for the integral field errors.

使用霍尔探头点测量上海同步辐射装置增强器二极磁铁样机场图，对点测结果进行数值积分得到场图中每条线积分，根据线积分误差分布，对极头端部进行削斜研究。

Moreover,we also gave the proofs of generalization formula of integration by parts,the Green s formula of first type and the Green s formula of second type by using the divergence theorem .

首先指出数学分析中反映二重积分和第二类平面线积分联系的Green公式可以看成是散度定理的一种特殊情形，然后利用散度定理给出广义分部积分公式、第一Green公式和第二Green公式的证明

Theorem 4 it is not the path of integral but the points and in the locus L that affects the line integral of locus L of foot point of the perpendicular line between the origin and the tangent line of the cylindrical spiral .several corollaries are derived from the theorems mentioned above.

定理4 势量场沿由坐标原点至圆柱螺线的切线所引垂线的垂足轨迹L的线积分与积分路径无关，只与轨迹L上的取的端点与有关。并由以上定理得到了几个推论。

To enhance computation efficiency and coverage of streamlines of fast line integral convolution, an improved algorithm of fast LIC with Sobol sequence was presented.

为提高快速线积分卷积法的计算效率和流线的覆盖率，提出了一种改进的基于Sobol序列的快速线积分卷积法。

An ordinary definite integral is defined over a line segment, whereas a line integral may use a more general path, such as a parabola or a circle.

普通定义的积分是定义在一段线段上的，而线积分则用更一般的路径，像拋物线或圆。

Fast Line Integral Convolution with constant filter kernels as well as with triangular filter kernels are presented,which are faster than the original Line Integral Convolution approach about an order of magnitude in rendering actual vector fields.

针对这个问题实现了基于常数滤波卷积核的快速线积分卷积算法，提出并论证了基于三角形滤波卷积核的快速线积分卷积算法，对于实际矢量场，上述两种方法均将运算速度提高了一个数量级，而基于三角形滤波卷积核的快速线积分卷积算法的结果使图像更加平滑。

First local surrounding-line integral bispectrum feature is extracted from the bispectrum of one dimensional range profile of space target, then BP neural network is used for target identification so that the network weights will not be the local lowest value.

提出了基于局部围线积分双谱的空间目标识别算法，从空间目标距离像的双谱中提取出局部围线积分双谱特征。

In the new method for two-dimensional problems the line integrals onboundary elements are converted into the evaluation of potentialfunctions at the ends of these elements.For three-dimensional cases,thesurface integrals on the usual boundary elements are transformed,through an application of Stokes'theorem,into line integrals on thebounding contours of these elements.

边界轮廓法是刚刚出现的一种新型的边界元法，该方法的核心是利用边界积分方程被积函数散度为零的特性，对二维问题，原积分方程中沿边界单元的线积分被化为单元两端点势函数之差计算，对三维问题，将边界单元上的面积分转变为沿单元轮廓的线积分，它是一种十分简便有效的边界元新技术。

Breath, muscle contraction of the buttocks; arch body, as far as possible to hold his head, right leg straight towards the ceiling (peg-leg knee in order to avoid muscle tension).

呼气，收缩臀部肌肉；拱起身体，尽量抬起头来，右腿伸直朝向天花板（膝微屈，以避免肌肉紧张）。

The cost of moving grain food products was unchanged from May, but year over year are up 8%.

粮食产品的运输费用与5月份相比没有变化，但却比去年同期高8％。