对边点

This thesis consists of two parts. The first one was that boundary value problem was discrete with five point difference method. Three kinds of memory formats were studied, which were full matrix, half band width and row compress sparse. Full matrix memory format and half band width memory format first was contrasted. The results show that half band width has efficiency in space. Then the algebraic system of finite element method was solved by Gauss-Seidel iteration method to popular row compress sparse memory format.

本论文由两部分组成，第1部分针对边值问题，用5点差分格式进行离散，并对离散矩阵这类大型稀疏矩阵，研究了系数矩阵的3种存储格式的优劣，即：满矩阵存储格式、半带宽存储格式和按行压缩稀疏存储格式，首先我们将满矩阵存储方式和半带宽存储格式进行了对比，迭代法的数值实验表明：利用半带宽存储的矩阵在空间运算方面具有高效性；然后针对目前数值实验中流行的按行压缩稀疏存储格式，实现了有限元离散代数系统的迭代法的求解。

The higher order multiple point boundary value problem at resonance is studied.

对具有共振的高阶多点边值问题进行研究。

And further because its line is thick, the grain deep, smooth, the corrugation, does not hemstitch, the entire cloth cover forms the innumerable nature massage spot, plays unexpectedly to the human body skin guarantees the healthy skin role, therefore is the pure natural green health products.

又因其线条粗、纹深、平整、不起皱、不卷边，整个布面形成无数个自然按摩点，对人体皮肤起到意想不到的保健美肤作用，所以是纯正的天然绿色保健产品。

The existence of positive solutions of some fourth-order singular semi-positone boundary value problems are obtained on a special cone by using the fixed point index theorem.

本文在一个特殊锥上利用不动点指数定理，得到了一类四阶奇异半正边值问题正解的存在性，并给出了一个例子作为对所获结果的应用，推广和改进了一些已知结果。

Application of contraction mapping principle to recursion sequence of number;2. With the Banach contraction mapping principle and Schauder fixed-point theorem, on the consistent condition of nonlinear term, we get .

用压缩映像原理和Schauder不动点定理对带有不跨特征值扰动项的梁方程边值问题进行了研究，在非线性项满足渐进一致性条件下，得到了相应的解的存在唯一性结论。

These principles illustrate the effects on the Laplacian eigenvalues and eigenvectors of mixed graph by adding edges, coalescing vertexes, etc.

说明了通过加边，合并点等变化对混合图的Laplace特征值和特征向量的影响。

Singular boundary value problems are considered in many problems, but, people can get better results, using theories of function to study these problems.

然而，在抽象空间中对奇异边值问题的研究，还不是很多，刘衍胜教授在文[4]中做过一些探讨，本文第一章把原文作了一般性推广，并给出了算子全连续的条件，然后利用不动点定理得到了正解的存在性。

By the FEA model that the recharge effect had been taken into account, the surface settlement and the surface differential settlement of the ground surface which was out of the recharge position could be greatly reduced, the recharge effect at far foundation pit wasmuch more apparent than at the near position. By the FEA model that the water-seal effect had been taken into account, the surface settlement and surface differential settlement of the ground surface could be largely reduced; the reduction of the total settlement and the differential settlement increased as the length of water-seal wall grew.

考虑回灌作用的有限元模型计算分析表明：设置回灌井或者回灌排水沟都可减小回灌处以外的地表总的沉降和不均匀沉降，随着排水沟离开基坑边距离的增加，回灌点以外的总沉降量和不均匀沉降都减少，回灌井埋设深度对周围地表沉降影响较小；通过考虑止水帷幕的有限元模型计算分析表明：设置止水帷幕可大大减小基坑周围土体总沉降和不均匀沉降，随着打设止水帷幕深度的增加，基坑周围地表总沉降和不均匀沉降都减小。

For the first frame of the video, the object edge is obtained by an enhanced interactive method; in the remaining frames of the video, a new Snake algorithm is proposed to detect the sharp-angled and concave object contour under the constraint of zero-crossing point , the experimental results of different.

对于初始帧，采用改进的交互方法进行目标的精确定位；在后续帧中，采用零交叉点约束的Snake算法，对具有凹边和尖点特征的复杂目标准确跟踪，获得了理想的实验结果。

According to the clear water experiment, aeration performance of the new equipment is good with high total oxygen transfer coefficient and oxygen utilization ratio.

曝气设备的动力效率在叶轮转速为120rpm～150rpm时取得最大值，此时氧利用率和充氧能力也具有较高值。

The environmental stability of that world - including its crushing pressures and icy darkness - means that some of its most famous inhabitants have survived for eons as evolutionary throwbacks, their bodies undergoing little change.

稳定的海底环境─包括能把人压扁的压力和冰冷的黑暗─意谓海底某些最知名的栖居生物已以演化返祖的样态活了万世，形体几无变化。