线积分

Firstly, the average line of the acceleration is fitted by cubic polynomial. Then, the long period baseline waving problem, which is still existed in the integral velocity and displacement after the first optimization, is secondly optimized by the recursive method of SDOF system.

首先以3次多项式来拟合加速度的均值线；再对一次优化后的积分速度、位移时程仍存在的长周期基线波动问题，运用单自由度地震动力反应递归法进行二次优化。

Utilizing the tools of conformal mapping and Cauchy integral formula and so on, the SIFs at the crack tips are obtained, which can be reduced to the known results under the condition of limitation; For the third and the fourth section, the problems of arc crack and parabolic crack are researched in one dimensional hexagonal QCs.

第二节研究了一维六方准晶狭长体中双半无限共线裂纹问题，利用保角变换以及Cauchy积分公式等工具求得了裂尖处的应力强度因子，在极限的情况下可以还原为若干已有的结果。

6The new low cloudiness scheme of dynamic-diagnostic method is put forward based on the opposite direction integral of characteristic lines.

6基于特征线反向积分的动力诊断之低云方案。

Inthe paper, we study the relation of pairs of lines and pairs of needles, and two results ofintegral formulas are gained. Thus, the geometric probability problem is solved. Also.we give a solution to the problem: pick two points randomly in a convex body K anddraw two lines passing through two points.

文章考虑了线偶与针偶的依附关系，得到了两个积分公式的结果，从而解决了这一问题，并得到了随机地在凸体K内任取两点，通过这两点任意投掷两直线，两直线的交点落入凸体K内的概率及其它的一些结果和推论。

So we mention another geometricprobability problem which is the geometric probability of the intersection of pairs ofintersecting lines belonzs to convex body K in R~2 by using the concept of doublechord-power integrals and a kinematic invariant density formula for pairs of lines.

利用R~2上双弦幂积分的概念和线偶的运动不变密度公式，提出了另一个几何概率问题：R~2上两根与凸体K相交的小针依附在两直线上，求两直线的交点落入凸体K内的几何概率。

The Fresnel integral can be computed on the basis of geometrical properties of the Cornu spiral .

利用科纽卷线的几何特性，可以计算菲涅耳积分。

Based on the desired trajectory and real output dynamical information of the control system, a basic iterative learning control algorithm is suggested, its ε-convergence is derived, and the interval length of local symmetrical double integral is determined.

基于理想轨线与控制系统的实际输出动态信息，提出基本的迭代学习控制算法并分析和论证算法的收敛性，给出局部对称积分区间参数的确定策略。

Based on the desired trajectory and real output dynamical information of the control system, a basic iterative learning control algorithm is suggested, its e-convergence is derived, and the interval length of local symmetrical double integral is determined.

基于理想轨线与控制系统的实际输出动态信息，提出基本的迭代学习控制算法并分析和论证算法的收敛性，给出局部对称积分区间参数的确定策略。

This function is an integral representing the Fourier transform of the line spread function.

此函数最后的型式是线扩散函数的傅立叶积分转换方程式。

B- spline Expression of Integral Curvature Line on NURBS Surface.

李宏坤，王国瑾，刘利刚， NURBS 曲面上积分曲率线的 B 样条表示，计算机辅助设计与图形学学报，2006， 18(3)：

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％。