边界点

The synopsis of Boolean operation's research status quo is offered, and a Boolean operation algorithm based on inner point recognition on the basis of Wu Yunxing's edge recognition is put forward.

摘要论文对二维布尔运算的研究现状进行了概述，在武运兴边界识别算法的基础上提出了一种基于"内点"识别的布尔运算算法。

The feasible area for this kind of programming changes into boundary, and there is no interior point.

当规划问题为混合约束时，可行域变成一个边界区域，并没有内点。

For the single objective optimization, the decomposition and coordination method is adopted to build the decomposition and coordination model according to the existing sub-area division conditions of power networks. Then using the Augmented Lagrange method, the minimization problem of decomposition and coordination model can be changed to the saddle point problem of augmented Lagrangian function. Finally, the so called auxiliary problem principle is selected to decompose variables as well as the functions. This transforms the voltage and reactive optimization problem of the wholenetworks to some sub-problems in some sub-areas.

对于单目标无功电压优化，根据实际电网分区情况，采用分解协调法复制各分区的边界节点，建立分解协调模型，采用增广拉格朗日法将求分解协调模型的极小值问题转化为求增广拉格朗日函数的鞍点问题，然后采用辅助问题原理分解变量和增广拉格朗日函数，从而将全网无功电压优化问题分解为多个分区的分布式并行优化问题。

In the fifth part, we obtained a solution of the boundary function for the Laplace equation by knowing some of its interior points values of five-point difference approximation.

给出从Laplace方程的解的内点值求边界函数的方法。

In the study area, the thinning-out line of albic horizon is coincident with the 55.74m contour line, and the maximum horizon error was less than 1m and the maximum vertical error less than 0.04m.

基于湿地边界标准的湿地的定义应为：湿地是陆地和水体之间的过渡带，是由于地表淹水／土壤水饱和而形成的一种隐域性自然综合体，其上界位于陆地土壤诊断层的尖灭点处，其下界是有根植物下界。

The second section: Under the conditions of nonlinear boundary controbility, we consider the initial boundary value problem of Camassa—Holm equations with dissipative. By using the contractive mapping fixed point theorem and a priori estimates, the existence of global smooth solution, global attractor in H〓, time periodic solution or almost-periodic solution and the global exponential stability are proved.

第二部分：在非线性控制边界条件之下，对于带耗散项的Camassa—Holm方程的初边值问题，用压缩映射不动点原理及先验估计方法，证明了整体光滑解的存在性、整体解的指数稳定性、H〓空间中整体吸引子的存在性以及时间周期解和殆时间周期解的存在性。

The reconstruction consists of three main steps: construct a model from the Voronoi diagram of the input data; merge the adjacent homogeneous Voronoi cells; smooth the boundary of each stratum without changing the topology.

重构分三步完成：首先构造输入数据点集的Voronoi图模型，然后合并相邻同质Voronoi多边形，最后对每个地层边界作光顺处理。

The method can be used in all kinds of domains since it calculates the global minimum of a constrained multi-extrema function to get high-quality centroidal Voronoi tessellations for the region.

该算法结合k-means方法和模拟退火算法求解约束条件下的多峰值函数全局最小值，在待求计算域内和边界自动生成无网格计算节点，且节点为计算域对应质心Voronoi结构的质心点。

Then we record the temperature of indirect monkshood moxibustion as the temperature boundary condition of the human model. The values of experiment match the numerical simulation ones.

并用红外热像仪记录艾炷隔附子饼燃烧过程的温度，将其作为边界条件施加在人体横截面模型上，模拟临床上穴位点施加隔附子灸的情况，实验和数值模拟数据吻合较好。

Second order differential inclusion; boundary condition; usc multivalued map; fixed point; monotone map; Yosida approximation; solution tube; upper-lower solutions; critical point; PS-condition; C-condition; Sobolev space

基础科学，数学，数学分析二阶微分包含；集值边界；上半连续集值映照；不动点；单调算子； Yosida逼近；解管道；上下解；临界点； PS-条件； C-条件； Sobolev空间

For a big chunk of credit-card losses; the number of filings (and thus charge-off rates) would be rising again, whether

年美国个人破产法的一个改动使得破产登记急速下降，而后引起了信用卡大规模的亏损。

Eph. 4:23 And that you be renewed in the spirit of your mind

弗四23 而在你们心思的灵里得以更新