边界点

In this paper, on the base of paraxial approximations, we present a set of absorbing boundary conditions of 3D elastic wave equations and apply to the 3D elastic wave numerical modeling in isotropic medium.

本文基於傍轴近似法提出了计算三维弹性波方程的吸收边界条件公式，表示了各边界面、边棱和角点处波场所满足的单程波方程，并在三维弹性波数值模拟中进行了应用。

The potential functions of incident and scattered waves were expanded into Fourier-Bessel series, and the coefficients of scattering waves field were determined by imposing continuity conditions of stress and displacement at the soil-pile interfaces with the help of a set of cylindrical coordinate systems and in accordance with the Graff's addition theorem.

将倾斜入射波和散射坡的势函数展开成Fourier-Bessel函数的无穷级数的形式，利用一组圆柱坐标系统和Graff加法转换定理，通过施加桩土界面处的应力和位移连续的边界条件，求解出散射波势函数的待定系数，进而得到饱和土体中任意点的位移和应力。

Then we used Kriging interpolation technique in geological statistics to establish geological graphics model,and presented the method of searching known sample points in the region to be interpolated adjacent to triangle mesh vertex with"polygon"expanding,and the method of dealing with the impact of boundary and faultage on interpolated results by distance revolving.

首先给出限制条件下的区域Delaunay剖分原理；其次采用了地质统计学中的克里金插值技术建立图件模型，提出了"多边形"扩张法搜索待插值三角网格顶点邻域内的已知采样点，以"距离环绕法"处理了断层和边界对插值结果造成的影响；结合地质图件自动建立过程；最后给出了一个具体的应用实例。

In chapter 2, the concept of ""isolated point"" is defined, whose influence on algebraic structure of rough set is demonstrated.

孤点不会位于任何粗糙集的边界上，它对粗糙集的代数结构产生特殊影响。

Having proven the transformation between the analytical solution and some relevant classic formulas,suitable condition for each of these formulas is demonstrated.

根据模型解，逐一定量研究下述变量，如垂向入渗强度、河渠水位变动幅度、含水层结构参数如给水度和导压系数、计算点与边界之间的距离，对渗流过程的影响。

The main work and the originality points of this dissertation could be concluded as the following parts:(1) To analyze systematically the mathematical model of LES of air flow in great space, under the case of isothermal and non-isothermal, as well as the combined action of buoyancy and strain. Some basic problems are studied about the LES application into airflow simulation of great space, such as boundary conditions, spatial difference scheme and time advancing scheme, time step etc., which creates the basis for the LES application to indoor airflow simulation.(2) Both the instantaneous and time averaged flow field of great space with multiple jets under isothermal and non-isothermal cases are explored with large eddy simulation method, and also discussed the dynamic characteristics and the law of fluidflow in the great space.(3) Based on the results of LES of the great space and the Fanger thermal comfort indexes, it is brought forward the concept of the series of dynamic thermal comfort evaluating indexes, which could be divided into thermal comfort index with time averaged properties PD, PPD, PMV, thermal comfort index with instantaneous properties IPD, IPPD, IPMV, and time averaged thermal comfort indexes TAPD, TAPPD, TAPMV, and transient situations time averaged thermal comfort indexes TTAPD, TTAPPD, TTAPMV. The differences among them and the calculation methods are discussed, and the four kinds of indexes are calculated with the thermal comfort index PD as an example.(4) Based on the LES results it is discussed the hot air stratification phenomena in air-conditioned buildings in the case with air supply and return registers on the ceiling and the case on the sidewall. The fundamentals of the hot air stratification are studied and the relations of estimating hot air stratification are brought forward.(5) With the advanced apparatus such as hot wire film anemometer IFA300 and laser particle field anemoscope, corresponding model test and site measurements have been done, which are compared with the simulation results and LES is proved a very promising method in air flow simulation indoor.

本文主要工作既创新点体现在以下几个方面：(1)系统分析了等温、非等温和考虑剪切力与浮升力综合作用的高大空间大涡模拟数学模型，并研究了高大空间大涡模拟在室内气流仿真应用中的一些基本问题，如边界条件、空间离散格式和时间推进格式、时间步长选择等问题，为大涡模拟在室内气流计算中的广泛应用打下了基础；(2)首次用大涡模拟方法研究了高雷诺数下高大空间多射流在等温、非等温情况下的瞬时流场和时均流场分布，并探讨了多射流流场的动态特性和流动规律；(3)基于大涡模拟的动态仿真结果和Fanger的热舒适指标，首次系统地提出了动态热舒适评价指标体系的概念：即基于时间平均参数的热舒适指标PD、PPD、PMV；基于瞬时参数的瞬时热指标IPD、IPPD、IPMV；基于时间平均热舒适指标TAPD、TAPPD、TAPMV；以及沿行动迹线的时间平均热舒适指标TTAPD、TTAPPD、TTAPMV，并分析了四类热舒适指标的差异性和计算方法，还以PD值为例对四类指标分别进行了计算；(4)基于数十种工况下空调房间大涡模拟的结果，研究了空调建筑上送上回和侧送侧回两种情况下热分层现象，并探讨了热分层的基本规律，首次提出了避免热分层现象的判断公式；(5)在暖通空调领域，首次使用IFA300热线风速仪、激光粒子速度场仪等先进设备，完成了与大涡模拟相对应的模型试验，并把实测结果与仿真结果进行了对比，说明LES在室内气流仿真方面是一种很有前景的方法。

At the same time the angular point displacement is zero , owing to boundary condition complexity, the plate s dynamical analysis have some hardness.

同时该角点处位移为零，由于边界条件的复杂性，使这类板的动力分析具有一定的难度。

Sea area measurement usually uses GPS timely processing the position data for the boundary of sea area, and then calculates the sea area of anomalistic area.

海域面积是一个封闭且不规则的曲面区域，对海域面积测算通常是先使用GPS定时测定待测海域边界位置点的地理坐标，再求取其围成的不规则曲面区域的面积。

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。

The formula is suitable for most engineering cast which consist of three disposal styles of tension rod-level tension rod, one break point strut-framed tension rod, two break points strut-framed tesion rod, and consider the boundary conditions effect on the strengthening. Its application also is convenience.

此公式包容了现今预应力法加固工程中多采用的三种拉杆布置型式——水平式拉杆、下撑式一折点拉杆、下撑式两折点拉杆，并考虑到边界条件对加固所产生的影响，具有简便易用，适用面广的特点。

James, son of Zebedee, and John the brother of James, whom he named Boanerges, that is, sons of thunder

载伯德的儿子雅各伯和雅各伯的弟弟若望，并为他们起名叫"波纳尔革"，就是"雷霆之子"

The southern Hungarian university city of Szeged will host part of the project, amounting to 40 percent of the total investment, which will mostly be paid for through Hungary's EU structural funds.

位于塞格德南部的匈牙利大学将负责部分项目，总计占总投入资金的40%。大部分资金将由匈牙利的欧盟结构基金会支付。