查询词典 boundary point

In the first part of this paper, we give some basic concepts of regular Sturm-Liouville problems and some Sturm-Liouville problems with eigenparameter in the boundary conditions and the definition and properties of the Krein space. Using the Krein space, we describe a class of Sturm-Liouville problems with eigenparameter in two boundary conditions and prove that it can generate a self-adjoint operator in Krein space with only point spectrum.

第一部分我们介绍了一些基本概念如正则Sturm-Liouville问题、边界条件含参数的问题、Krein空间等，并利用Krein空间的定义和性质描述了一类参数边界条件的Sturm-Liouville问题，证明它可构造一Krein空间上的自伴算子，并且谱全为点谱。

Firstly, we analysize the boundary value problem for linear singular system, several properties for linear singular system are given, and then the existence for boundary value problem to nonlinear singular system is proved by using the previous properties discussed and Schauder's fixed point theorem.

接着，利用Banach不动点定理，研究了Volterra型广义积分微分系统边值问题解的存在唯一性，最后给出了几个推论。

The existence of solutions for two-point boundary value problem subject to nonlinear second order differential equation with mixed boundary conditions is studied by using topological transversality theorem, and some known results are improved.

现利用拓扑横截定理，考虑了二阶常微分方程两点边值问题在组合边界条件下的解的存在性，对二阶常微分方程两点边值问题所对应的辅助问题作先验界估计，并利用拓扑横截定理，得到了边值问题解的存在性，推广了一些已有结果。

Based on the tooth profile plane model's boundary scope and the geometry dimension of the transmission gear, the paper calculates every point's Cartesian coordinate in all parts of tooth profile, such as addendum arc, involute, dedendum easement curve, axle hole arc and other boundary line section.

最后根据齿廓的几何尺寸和五类齿廓平面模型的边界范围，计算齿廓各部分，即齿顶圆圆弧段、渐开线段、齿根过渡曲线段、轴孔圆圆弧段和齿廓平面模型上其他边界线段上点的坐标，并连接这些点生成各部分线段，从而生成齿廓平面模型。

In order to detect the interested boundary fast and correctly, an boundary point tracking algorithm was proposed to detect the specifical edge of the image.

为了快速准确的检测特定边界，采用边界点跟踪算法检测特定轮廓边界点。

The aim of this thesis is to study the existence of positive solutions of boundary value problem for nonlinear second order ordinary differential equations , mainly using the fixed point index theory in a cone. The conditions of the existence of positive solutions of the boundary value problem are given in the thesis. We improve the result of the existence of positive solutions either in the sublinear or in the superlinear conditons.

本文主要利用锥上不动点指数定理，解决非线性二阶常微分方程边值问题的正解的存在性问题，并给出了边值问题正解存在的条件，改进了次线性和超线性条件下正解存在的结论。

As a preliminary theoretical exploration, a limited series of stream function was employed to study the characteristics of the reattachment boundary layer. The tentative analysis showed that the reattachment boundary layer of the circular cylinder, so long as it began at the effective reattachment region discussed above, would be developing to its reseparated point downstream the cross section of the cylinder, which essentially gave the new idea RCDR a theoretical cycle.

本文提出的&再附—减阻&机制可表述为：柱面上扰流元件后向锐缘处诱发的流动分离，既改变了柱面压强分布格局，又破坏了柱面附近的流动状态；若扰流元件锐缘后方流动在圆柱壁面上再附，形成再附边界层，再附边界层将沿流向发展，直至越过柱面最大迎流截面之后，才从圆柱面上分离，致使分离流的尾涡区变窄，绕流阻力降低。

Based on the upper and lower solutions method,under suitable conditions,existence of solution of a three-point boundary value problem forthird-order ordinary differential equation with nonlinear mixed boundary conditions is obtained.

基于上下解方法，在一定条件下，得到了一类带有非线性混合边界条件的三阶常微分方程的非线性三点边值问题解的存在性，作为上述存在性结果的应用，在推论中给出了一类三阶非线性微分方程三点边值问题解的存在性。

According to road designing data of mileage,coordinate,azimuth angle of tangent or straight line,curve radius,the length of spiral line from main point of curve or straight line starting point,we can calculate the coordinates of center line points and boundary line point s in any form of road under the same coordinate system.

根据线路设计资料提供的曲线主点里程、坐标、切线方位角、曲线半径、缓和曲线长度的已知数据，计算出任意线形的中桩、边桩在线路统一坐标系中的坐标，利用全站仪极坐标放样程序，以线路附近的控制点或加密点为测站，准确、快速放样各点。

On the basis of distributive shapes of point collection on the Poincare section, define three indexes to quantitatively describe the distribution of point collection. Which are distance between two adjacent points, diffused angle and distance between every point and center point of point collection.

以庞卡莱截面上RR间期序列的点集分布形式为基础，提出点集中相邻点间距离、扩散角度和点到点集中心距离三项指标，用以定量地衡量点集的分布形式。

Now she was hungry and angry.She began to smoulder.

现在她又饿又气，她开始流露难以抑制的怒火。

You have placed our iniquities before You, Our secret sins in the light of Your presence.

诗90：8 你将我们的罪孽摆在你面前、将我们的隐恶摆在你面光之中。