逼近地

On the basis of analysis and comparison of their strengths and weaknesses, each method can find its applied occasion. With energy method, we can conveniently control the precision of the objective surface and add boundary constraints for preserving the models global geometric continuity, but this method is very time-consuming.

其中基于能量原理的光顺方法能够方便地控制目标曲面的精度和边界条件，从而能够实现曲面模型的全局连续性，但是能量法的运算速度还有待提高；刚度调整法实现简单，但是生成的曲面的可编辑性较差；小波分解方法计算速度很快，能够有效地实现数据压缩，但是其逼近误差和边界条件却难于控制。

A series convergent to any given number could be derived with this method.

通过反复地使用这个算法，可以非常容易地求得被逼近实数的一系列渐近分数。

To solve the problem numerically, a mollification method is considered. Error estimate between the exact solution and its approximation is given.

作者在文章中提出了一类正则化方法，通过巧妙地选取适当的参数及相应高斯核正则化子来构造逼近解，并给出了逼近解的近似程度估计。

The proposed method can reconstruct curves from data set with arbitrary topology, such as simply connected, multiple connected and closed scattered points, keep the shape characteristic of point set well, especially in the segments with high curvature, and provide effective methods and technologies for the screw reconstrucion.

因此最短路逼近算法有效地解决了单连通、多连通和封闭的数据点集的曲线重建问题，较好地保持了数据点集的形状和走向，尤其是带尖点的数据点集的形状特征，为旋转面、螺旋面和可展曲面面的重建提供了有效方法和技术。

The solution group such as symmetric, skew-symmetric, centrosymmetric, centroskew symmetric, reflexive, antireflexive, bisymmetric or symmetric and antipersymmetric are successfully found.

构造了一种迭代法系统地研究了问题Ⅴ的一般解组、对称解组、中心对称解组、自反矩阵解组、双对称解组、对称次反对称解组及其最佳逼近等问题，并成功地解决了这些问题。

Taylor formula for the basic idea is to use polynomials to approximate a known function, and the coefficients of the polynomial by the given function to determine the derivative , and this approach gives an effective estimate.

泰勒公式的基本思想是用多项式来逼近一个已知函数，而这个多项式的系数由给定函数的各阶导数确定，并对这种逼近给出有效地估计。

He stopped, waited until the animal was very near, then jumped agilely behind a tree.

他纹丝不动地站在那里，等独角兽逼近了，敏捷地一下子跳到树后。

This thesis focuses on studying the matrix equa-tion problem systematically, and proposed an abstract algorithm of solving the matrixequation with constraints, and established a strict convergence theory. Using this algo-rithm, we can solve the sets of matrix equation satisfying some constraint conditions,such as symmetric, antisymmetric, centrosymmetric, centroskew symmetric, re?exive,antire?exive, bisymmetric, symmetric and antipersymmetric, symmetric orthogonalsymmetric, symmetric orthogonal antisymmetric, Hermite generalized Hamilton ma-trix;So we can solve the problem with this algorithm, if the set of constrain matrixcan make a subspace in matrix space, and this algorithm also can solve the optimalapproximation and least squares problem. So this abstract algorithm has universal andimportant practical value.

本篇硕士论文系统地研究了此类问题，并找到了求解约束矩阵问题的抽象算法，并建立严格的收敛性理论，利用这一算法可求解约束条件为对称矩阵、反对称矩阵、中心对称矩阵、中心反对称矩阵、自反矩阵、反自反矩阵，对称正交对称矩阵、对称正交反对称矩阵、双中心矩阵、Hermite广义Hamilton矩阵等；可以说只要约束矩阵集合在矩阵空间中构成子空间，都可以考虑用此算法求解，而且这一算法还能把矩阵方程解及其最佳逼近，最小二乘解及其最佳逼近统一处理，因此本文算法有普适性和重要的实用价值。

On the one hand, the component method is introduced into flowchart design, which can not only enlarge the depth and the connotation of the flowchart, but also extend the traditional concepts of the flowchart. By combining the component method and the objectoriented method, it will be easy to illustrate the industry flow and meet with the future requirements of the industry control software. On the other hand, the trajectory concepts in plane moving, the method of using Bezier Curve to approach the 1/4 arc to implement the arc circumrotation, the method of using graphic elements' combination to extend the expression capability, and the method of combining the graphic elements'combination, three-dimensional graphic elements and bitmaps to realize the three-dimensional effects to express the industry flow more realistic are brought forward in this dissertation.

工控软件中最能够体现人机接口设计创造性的画面当属流程图，本文对流程图设计进行了深入研究，提出了一种工控软件流程图设计的新方法：一方面在流程图设计中引入部件化方法，扩展流程图的深度与内涵，延伸了流程图的传统概念与意义，将部件化技术与面向对象技术相结合，能够更好地实现对工艺过程的描述并适应工控软件的未来发展要求；另一方面对流程图中动画关联和三维化这些新兴领域进行了研究，提出了平移动画中的&轨道&概念，以实现图元的沿曲线平移，提出了在圆弧旋转动画中用Bezier曲线逼近〓圆弧的工程化方法，并用最小二乘法进行了验证和工程化参数的获取，实现了利用图元组合来扩展流程图的表达能力，采用了图元组合、三维图元和位图相结合的方法来实现逼真的三维效果，以使工控软件更加符合人机工学，更能形象地反映工艺流程。

V.使交叉,横过,勾划,错过,反对,杂交 be cross get cross be cross with get cross with bear one's cross come home by the weeping cross return by the weeping cross double cross drive the cross make one's cross on a contract No cross , no crown.

使人毛骨悚然先学爬后学走；按部就班；循序渐进。偷偷离开悄悄混进悄悄地过去偷偷溜出爬上；偷偷逼近爬上；偷偷逼近 215-cross n。

I am sure after a few weeks of adaptation and familiarization I will have no difficulty in functioning on a daily basis in an English speaking society or in participating fully in graduate studies.

在大学的三年的学习生活不仅给予我自身的充实，更重要的是磨练和培养了我较强的自觉能力和严谨，踏实的作风以及不怕困难的精神，对未来充满了信心！

As the first volcanoes erupted, one of the gases that bellowed out was steam.

在第一批火山喷发时，喷出的气体之一就是水蒸汽。