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The algebraic polynomial with double sine series solutions can also satisfy the problem of boundary conditions at four comers.

还有代数多项式和双正弦级数解，它能满足4个角的边界条件问题。

Secondly, by applying inverse Fourier integral transform to the displacement, and uniting the constitutive and geometrical equations, the analytical expression of stress in Laplace domain were derived. Thirdly, by defining dislocation density functions, the Cauchy singular integral equations were obtained according to the boundary condition and interface connection conditions, and the problem was reduced to algebraic equations by Chebyshev orthogonal polynomial. Based the these, the unknown coefficient of the algebraic equations can be solved by Schmidt method. Finally, the time response of dynamic stress intensity factor and energy release rate are obtained by inverse Laplace transform.

首先，利用积分变换方法，推导出粘弹性层的控制方程组；其次，引入位错密度函数，并结合边界条件和界面连接条件，导出反映裂纹尖端奇异性的Cauchy型奇异积分方程组，然后，应用Chebyshev正交多项式化奇异积分方程组为代数方程组，并采用Schmidt方法对其数值求解，最后，经过Laplace逆变换，求得动态应力强度因子和能量释放率的时间响应。

Since the boundary points is discontinuous resulting from errors in inner points and interpolated results are not on the same smooth curved surface, the algebraic methods usually generates inharmonious contour lines that may intersect with each other.

分析传统绘制等雨量线方法存在的弊端：由于边界点的不连续性导致内部点误差，同时得到的插值结果也不在同一光滑曲面上，导致生成的等值线分布不协调，甚至可能出现等值线相交的错误情况。

Two-phase-learning is adopted. The strongpoint is that intuitionistic knowledge can be used to control the segmentation by using input-weight and distant-weight. Examples prove that segmentation using SOFM network is right and efficient. Surface fitting is an absolutely necessarily process in REGM. Surface fitting includes algebraic and parametric surface fitting. Algebraic surface fitting has not extra requirement for data distribute format and boundary shape.

第三种方法把人工智能用于反向工程的数据分区，因为数据分区的实质是相似特征的聚类，而神经网络可以实现自组织特征映射，在本论文中第一次把自组织特征映射神经网络用于多视图点云的数据分区，通过神经网络对数据点的坐标、法向量等几何特征进行聚类，并且运用了快速稳定的训练方法——两阶段训练算法，最重要的是，通过距离权值和输入权值可以把用户观察所得的直观知识加入聚类过程。

Then the hybrid boundary value problem is reduced to solve an infinite system of linear algebraic equations. The results are compared both with the calculations from others and with experiment data, and those are discussed.

而后将原来混合边值问题的求解归结为求解无穷线性代数方程组的间题文中将分析计算结果与前人的计算结果及实验数据进行了对比，并对结果进行了分析讨论。

It is divided into 3 parts: the 1st part is the description of boundary value which is discreted by using 5 point differential format, the algebraic system is get.

分成3个部分：第1部分是对边值问题的描述，并对边值问题利用5点差分格式进行了离散，得到了其离散代数系统。

This anteal analysed the the cadasteral surveying precision and evaluation by the way of analytic method and, strictly proved the formulae in relation to statistics method,and put forward the theory and method which can examine fortion of boundary point by allowable error,It is valuable in assessment of achievement quality of cadastre survey work developed extensitely at present.

文章分析了解析法地籍测量界址点精度检测与估计的实用方法，对实验统计方法中有关公式给出严密证明，提出利用允许误差对界址点进行检核的原理及方法。

A reptile method with memory and alterable window for image boundary tracing.

一种有记忆的变窗"爬虫"图像边界跟踪方法。

This paper discusses the different differential methods of Alternating Direction Implicit Method with initial condition and boundary conditions in detail.

文摘：详细地研究了各种情形的求解二维抛物型方程初边值问题的交替方向隐式差分法。

The alternating group iterative method for the dispersive equation with periodic boundary condition is presented.

给出了求解具有周期边界条件色散方程近似解的交替分组迭代法。

But we don't care about Battlegrounds.

但我们并不在乎沙场中的显露。

Ah! don't mention it, the butcher's shop is a horror.

啊！不用提了。提到肉，真是糟透了。