线积分

The SEM poles have been calculated theoretically by using the iterative method and contour integral method so far, but the both methods have many defects.

为了从理论上得到散射体的极点，人们提出了许多的数值计算方法，如Newton迭代法，Muller迭代法和围线积分法等，但都存在种种缺陷。

And the keytechniques are in the following:(1) The algorithm and program of intensified node arrangement near crack tip andalong crack line (2) The shape function calculation of point near crack based on visibility criteria (3) The contour integral method for calculation of stress intensify factor K_ⅠK_Ⅱ(4) The rock slope appraisal method using circular method, polygonal method orgraph theory method depending on the slope joints combination

程序实现的关键技术和算法如下：(1)沿裂隙结点布置及裂尖结点加密的算法及程序(2)采用可视准则的形函数算计算程序(3)围线积分计算复合型裂纹裂尖强度因子K_Ⅰ、K_Ⅱ的算法及程序(4)圆弧搜索法、折线搜索法和无网格—图论搜索法的算法及程序

Faraday's law is that when the flux in the conductor loop changes, it produces electromotive force in the conductor loop, and obeys to contour integral law , Maxwell Curl Theory is that when the magnetic intensity of a certain point in ether space changes, there produces electric field at that point in ether space, which is the field mutual production theory of "electric field produces magnetic field and magnetic field produces electric field" in the free space which everybody is familiar with, and it obeys differential law , Lorentz magnetic force is that when metal electrons cut magnetic lines, metal electrons forced by move along the conductor to form inductive current, in fact, it doesn't matter whether coil moves or magnet moves, only if there exists relative motion between magnetic field and conductor, metal electrons must cut magnetic lines, which is,"coil stills while magnet moves to the left" and "magnet stills while coil moves to the right" these two situations are the same, which both belong to metal electrons having cut magnetic lines.

法拉第定律指导体环路里的磁通量发生变化时，在导体环路上产生电动势，而且服从围线积分律；麦克斯韦旋度理论指以太空间某点的磁场强度发生变化时，在以太空间的该点产生电场，即大家熟知的自由空间里"电场生磁场与磁场生电场"之互生场理论，而且服从微分律；洛伦兹磁力指金属电子切割磁力线时，金属电子受力沿着导体漂移而形成感应电流，其实，无论线圈运动或是磁铁运动，只要磁场与导体存在相对运动，则金属电子必然切割磁力线，即，"线圈静止而磁铁向左运动"与"磁铁静止而线圈向右运动"这两种情况是一样的，都属于金属电子切割了磁力线。

The computation results show that compared with the traditional FLIC, the computation efficiency of the improved algorithm increases by approximately 10%, and it can generate sparse texture and dense texture simultaneously. Also the property of result image was improved using double LIC algorithm.

计算结果表明，与一般的快速线积分卷积法相比，改进后的算法计算效率提高了约10%，同时可以产生稀疏纹理和密纹理，并且采用二次LIC法对图像进行后处理提高了可视化效果。

We present a strict derivation by applying Green′s theorem for a linear integral expression of the gravity anomaly produced by a 2D homogeneous source. The result thus acquired coincides with a documented formula, but our method is simpler and mathematically compact.

本文基于格林公式，给出了均匀二度体重力异常线积分表达式的严格数学推导过程，其结果与前人推导出的结果完全相同，但我们的方法在数学上更简单，也更严谨。

In this paper, Kirchhoff formula has been transformed from surface integral form into a line integral form.

将经典的面积分形式的Kirchhoff公式转换为线积分形式。

Divergent line integrals yielded in the process of integration by parts are eliminated mutually and don't occur in the final results.

在转移过程中出现的发散的线积分可以相互抵消，不会在最后结果中出现。

In addition,the effects of line integral and restricting the wave-steepness of the elementary waves were estimated numerically.

同时研究了线积分项和限制基元波波陡对于兴波阻力计算结果的影响。

Aimed at the needs of virtualized relationship in virtual environment, we introduce non-photorealistic rendering into virtual reality and presented a novel algorithm for virtualized relationship generation in image based virtual environment based on line integral convolution.

针对基于图像的虚拟场景虚化关联的需要，将非真实感绘制技术引入虚拟场景中，提出了一种基于线积分卷积的场景虚化关联生成方法。

There is no difficulty for us to solve N-K problem for submerged bodies by the coupled element method, but for wavemaking problems of the bodies piercing free surface, we get a difficult problem of line integral on the free surface when we solve the boundary value problem in the external region by boundary element method.

对于深潜物体的N—K问题，用耦合元方法求解不存在根本性的困难，但对于水面船波兴波问题，采用边界元方法来处理外域中的边值问题而出现了所谓的自由面线积分问题。

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％。