边界值

For a higher yield, the multibranch well bore should be perpendicular to the direction of maximum principal permeability, b. for a given coalbed methane reservoir, there is an optimal interspace, by which a bigger control area and the interaction among the branches can be obtained, and c. with the extension of the branch, gas yield becomes obviously higher, while the branch length should be an appropriate value on account of the influence of coal bed boundary and wellbore pressure drop. The research results have guiding significance for well pattern optimization and efficient development of coalbed methane gas.

结果发现：为了获得较高的产能，多分支井的井筒应垂直于最大主渗透率方向；对于给定的煤层气藏，存在一个最优的分支间距，既能保证较大的控制面积，又能保证分支间的互相影响；随着分支长度的增高，产气量也显著增大，但是考虑到煤层边界和井筒压降的影响，分支长度也应该有一个比较合理的值。

Our proposed method, which is a kind of optimization approach in time domain, doesn't have taper effects that result from window filter band and attenuates artifacts.

该方法是一种时间域最小平方优化分离波场的方法，不存在其他滤波方法阈值滤波器边界的影响，减少了因镶边问题带来的假象。

Image segmentation based on the graph concept is analyzed in our thesis, a boundary finding problem is formulated as a shortest-path problem in a graph, then a watershed algorithm based ort image foresting transfonn is introduced, which is a unified and efficient approach for simplifying image processing problems to a minimum-cost path forest problem .

将图的概念应用于图像分割的研究中，把边界发现问题归结为图中的最短路径问题，从而引入了一种基于图像森林化变换(Image Foresting Transform，该方法是把图像处理问题简化为在图中求解最短路径森林问题的一种统一有效的方法)的分水岭算法，并分析了平滑滤波、梯度阈值在图像分割中的作用。

Firstly, the lake water quality model is developed under the condition of both internal and external pollution by using the method of microelement analysis, then homogenizes the non-cylindrical boundary condition and utilizes the methods of vector expending and pseudomonotone of the variational operator, and last the existence and uniqueness of the solution for a type free initial-boundary value problem is obtained.

本文首先运用微元分析法导出在外源和内源双重污染下湖泊水质模型，然后对一类自由初边值问题通过对非柱形边界条件的齐次约化，运用变分型算子的向量扩张和拟单调方法获得解的存在性、唯一性。

Then the finite difference method is employed to predict the thermal regime in asphalt pavement structures with a specific program. After itemizing the flaws in existing pavement temperature prediction theoretical methods, the boundary condition and the thermal parameters are confirmed.

然后通过对现有沥青路面温度场理论计算方法的详细分析，确定出了有限差分计算模型中的边界条件表达式以及材料热物理参数的合理取值范围。

This research method is to use the three-dimensional mapping software to draw the cardiovascular stent of different size first , next is it create their cardiovascular stent boundary conditions and simulation their of support after implantation according to finite element method into the human body to go; Receive different residue pressures and pressure of the repeated blood circulation , greatest stress , meets an emergency and the relation between total deformation amount caused; Being imitated the cardiovascular stent , the position with damage of fatigue life in the blood vessel by its greatest stress value at the same time ; But by the simulation result of the above , can understand that use life of Palmaz-schatz cardiovascular stent has been more than 109 up till now ; At the same time , can know the position where the stress two times concentrates , the right angle position joined in the rib and rib of Palmaz-schatz cardiovascular stent too.

本研究的方法乃是先会使用三维绘图软体画出不同尺寸的血管支架，然后在根据有限元素法去设定其血管支架的边界条件和模拟其植入人体后；受到不同的残留压力与反覆血液流动的压力，所造成的最大应力、应变及总变形量之间的关系；同时在由其最大应力值去模拟血管支架，在血管中的疲劳寿命与疲劳损坏位置；然而由以上的模拟结果，可以了解到目前Palmaz-schatz血管支架之使用寿命为109以上；同时也可以知道二次应力集中的位置，在Palmaz-schatz血管支架之肋和肋连接的直角位置。

To match the boundary conditions, the modified Bessel functions are expanded to the planar wave in the interface. Then the eigenvalue equations of different polarizations are obtained by scalar approximation. At last, the relations between propagation losses and the states of polarizations, the geometric structures of the fiber, the refractive index and thickness of the polymer are calculated.

论文首先给出其等效折射率数学模型，在纤芯和包层中，光场用贝塞尔函数及虚宗量贝塞尔函数的求和表示，在聚合物和金属中用指数函数的求和表示，交界面上采用将虚宗量贝塞尔函数用平面波展开的方法匹配边界条件，然后利用标量近似求出极化D型光纤不同偏振态光场模式的本征值方程，最后通过数值计算得到光纤的传输损耗与抛磨平面和纤芯之间的距离，聚合物粘接材料的折射率和厚度，以及偏振态之间的关系。

General clue of this paper is simulating wood stress field change in initial cutting stage and working out weighted boundary condition of cutting tools first,and then based on which, finding out shear stress and maximal effective stress when wood cut-ted.Meanwhile,finite element comparative analysis is proceeded on distortion and stress field by changing tool orthogonal rake.

本课题的总体思路是通过大型有限元软件ANSYS来模拟切削初始阶段中木材的应力场变化，进而得出刀具受力的边界条件，依此为基础求出木材受切时的剪应力及最大等效应力，同时通过变化刀具前角分别对受切工件的变形及应力场进行有限元比较分析，从而确定刀具的优化前角；优化前角确定后，再通过对刀具进行强度校核确定后角优化值。

So, the proportion coefficient in the damping region is changed from constant to variable. Setting the damping region as the same thickness, the transition region is located in the damping region. In the transition region, the proportion coefficient increases and reaches a constant in the end.

为此，对Sarma吸收边界条件进行了改进，将衰减层内所采用的恒定比例系数改为变比例系数，即在衰减层厚度相等的条件下，在衰减层内设置一个过渡带，在过渡带比例系数由小变大，在衰减层内比例系数取恒定值。

By measuring total area of the target image and the area and perimeter of each image speckle of the target image,the distributing rule and density of the target image can be found.

通过对图像进行灰度处理和二值化处理，提取目标图像及其边界，并测量所提取目标图像的总面积及目标图像各斑块的面积和周长，由此研究其分布规律与分布密度，并在测量的基础上对目标图像斑块进行统计，得到一定面积或周长范围内目标图像斑块的个数，为相应的研究提供定量分析。

On the other hand, the more important thing is because the urban housing is a kind of heterogeneity products.

另一方面，更重要的是由于城市住房是一种异质性产品。

Climate histogram is the fall that collects place measure calm value, cent serves as cross axle for a few equal interval, the area that the frequency that the value appears according to place is accumulated and becomes will be determined inside each interval, discharge the graph that rise with post, also be called histogram.

气候直方图是将所收集的降水量测定值，分为几个相等的区间作为横轴，并将各区间内所测定值依所出现的次数累积而成的面积，用柱子排起来的图形，也叫做柱状图。