According to the principle of extenics, in order to establish the extension model of affair element for a complex system, the concept of multilayer multidimensional affair element extension set and its positive field, negative field and extension boundary were presented based on the concept of n-dimensional affair element extension set.
为了建立复杂系统的事元可拓模型，针对现实世界中具有多层结构、每个子层次结构又具有多个特征的复杂系统中各子系统的相互作用问题，从可拓学原理出发，在n维事元可拓集概念的基础上，提出了多层多维事元可拓集及其正域、负域、拓界的概念。
Solid grains in complex flow geometry can be represented by freezing randomly distributed DPD particles which have reached equilibrium state. To increase computational efficiency, only the boundary DPD particles within one cut-off distance from the flow region are frozen. A thin layer in the flow region next to the solid boundary is used to bounce mobile DPD particles in this layer back to the flow region.
复杂固体区域通过冻结随机分布并且达到平衡状态的DPD粒子代表；所冻结的DPD粒子位于临近流动区域的一个截距内；在靠近固体壁面的流动区域中设置流动反弹层，当流动DPD粒子进入此流动层后反弹回流动区域。
The boundary value problems for holomorphic function are so important branches in the functions of a complex variable.
中文摘要：解析函数的边值问题是复变函数论中极为重要的分支之一。
The plant template generation method presented in this paper is based on developing a branch-and-bound algorithm to test whether or not a point in the complex plane belongs to the plant template. Then, the branch-and-bound algorithm is used along with a pivoting procedure to trace out the boundary of the plant template.
本文所提出之程序模板产生法，系植基於发展出一branch-and-bound演算法测试复平面上之一点是否属於程序模板，然后结合此branch-and-bound演算法与转轴程序将程序模板之边界找出。
A complex nonlinear exponential autoregressivemodeling approach for the closed shape boundary is suggested in this paper.
摘要提出了复数域非线性指数自回归图形轮廓建模方法。
Tis paper presents the application of boundary element method to foundation earth field and the value of earth resistance and some parameter of concrete foundation pile in complex geoelectrical section obtained. The priciple and techniques described in detail. The influence of some factors to earth resistance are discussed.
本文应用边界元方法于基础接地领域，获得了复杂地电条件下钢筋混凝土基础桩的接地电阻及其它参数的计算方法，并详细分析了各种因素对钢筋混凝土基础桩的接地电阻的影响。
Based on the principle of the inverse solution to the undetermined boundary in complex heat transfer problem, a numerically stepwise approximation method was formed to calculate the erosion boundary values of the lining for blast furnace hearth via the procedure of regular solution-approval-boundary modification-secondary regular solution/approval.
根据复杂结构传热问题中的待定边界逆解原理，针对高炉炉缸测温点较少或无测温点的情况，按照轴对称稳态传热方程，以实测温度和冷却壁热流量为侵蚀边界核定条件，构造了一种正解计算—核定—修改边界—再正解计算核定的逐次逼近的炉缸内衬侵蚀边界数值计算方法。
Using the finite element method, we make modeling of the SIP sounding with differentfrequencies on a 3-D geoelectric model. First, this paper derives the wave equation of electromagnetic complex voltage based on the concepts of Maxwell equation. With the generalized variational principle, we get the equation of the variational problem which is equivalent to the equation of the boundary value problem, Then we analyze the model with hexahedron elements on the 3-D geoelectric model, interpolation in the element and drawa set of linear equations. Through solving the equation, we get the complex voltage of each point in the model. Finally we obtain the parameter of Fs on SIP which show the degree of polarization.
在三维地电条件下，应用有限元方法模拟了不同频率谐变电流激发下的地表激电响应，首先根据麦克斯韦方程推导出谐变电磁场复电位的波动方程，利用广义变分原理得到复电位波动方程及其边界条件下边值问题等价的变分问题，尔后将区域剖分离散化，在单元中进行插值，得到一组线性方程组，通过合理存储刚度矩阵、解方程组，得到各个结点上的复电位值，最后得到表征频率域激电响应的幅频率等参数。
In the process of modeling, special concern is paid to the complex interior boundary conditions including: compound channels; branched channels and looped river network; main stream with storage berms; main stream with storage pockets; inter-connected storage units; a river linked with a lake.
建模中对蓄滞洪区复杂的内边界条件进行了详尽分析，这些内边界条件包括：复式河道、分岔河道及河网、河滩地蓄水、河流与沿岸围垸水流交换、相互连通的蓄水单元间串流、及河湖相边。
By means of plane elastic complex variable method and theory of boundary value problems and integral equation.
利用平面弹性复变方法和解析函数边值问题以及积分方程的基本理论，研究不同材料的各向同性弹性长条与半平面的焊接问题，给出了弹性体应力函数封闭形式的
ABSTRACT Applying artificial neural network technique in reverse engineering system and building the system of reconstructing freeform surface can solve the problem of rebuilding surface based on indistinct boundary and non-ruled measured point, this technique also can be used for rebuilding damaged part and complex face part.
将人工神经网络技术运用到逆向工程过程中，建立基于云点数据的曲面模型重建系统，可解决模糊边界处理及非规则离散测量点的曲面模型重建等问题，并可用于破损工件及复杂型面的修复再现。
This paper presents a new method in treating complex solid boundary.
提出了处理复杂固体壁面的一种新的方法。
In Chapter 2, we extend a boundary map with singular points to a harmonic mapbetween real Hyperbolic space and complex Hyperbolic space.
在第二章中我们将带有奇异点的边界映射延拓为从实双曲空间到复双曲空间的调和映射。
The boundary of disseminator and receiver became illegibility, Information exchange is much more complex and frequent than ever before.
传播者和受传者的界定开始模糊，前所未有的复杂而频繁的交互，一种异时的，而非即时的交流。
About the realistic cultural phenomena of the Northeast Yangge, we enter from its historic headstream, so that we can analyse holistically the boundary of the northeast, the natural entironment, the immigrant society and the development history of the northeast. At the base of aesthetic attribute of the Northeast Yangge, we interpret the folk art from the point of view of aesthetic through vision and hearing sense of aesthetic modality. From the culture style, searching the connection about the Northeast Yangge and the northeast folk-custom, the northeast female, the northeastemers'complex for the soil.
透过东北秧歌这种现实的文化现象，从其历史源流切入，对东北的疆域划分、自然环境的考察、移民社会的构成、东北发展史的演变进行整体分析；以东北秧歌的审美属性为基点，通过艺术形式的视觉感受和听觉感受，对这种民间艺术进行审美层面的解读；从文化风格上，探询东北秧歌与东北民俗、东北女性、东北人恋土情结的关系。
By means of the ABAQUS kernel functions, bring out auto-setting up complex models, auto-loading boundary conditions, auto-selecting codes and surfaces of the models, and such automation functions.
开发ABAQUS的FORTRAN语言接口，解决了混凝土材料生热率随时间变化、弹性模量随时间增长、散热系数随高度变化等系数与ABAQUS的连接问题。
The boundary condition in cavity is more complex, so the coupling calculation is comparatively more difficult.
由于 洞穴内的边界条件比较复杂，其耦合计算也相对较难。
In this paper, at first we transformed the nonlinear elliptic system of 2m first order equations into the complex form, then by use the results on the Riemann-Hilbert problem for nonlinear elliptic complex equation of first order, the method of continuity, the Schauder fixed-point theorem and the Leray-Schauder theorem, we proved that the modified Riemann-Hilbert boundary value problem for the complex system with some conditions is solvable.
本文先将较一般的多个未知函数的一阶椭圆型实方程组化为复方程组，然后讨论这些复方程组在某些条件下的一些边值问题的可解性。这里所考虑的方程组既包含线性的，也包含非线性的，比广义超解析函数所满足的方程组还要广，又本文主要研究较一般的Riemann-Hilbert边值问题，先给出这种边值问题解的先验估计式，然后用参数开拓法及Leray-Schauder定理证明这种边值问题的可解性结果。
Complex variable method is introduced to solve the two basic models: the edge and polygon under arbitrary boundary forces.
文中引入复变函数方法以解决尖劈受任意作用力的情形及任意多边形受任意作用力情形。
In this dissertation, the formulate for bending strain energy of the VSP is given and the solving method at complex supported boundary is discussed.
另外，论文还推导出空腹夹层板的弯曲应变能表达式，在此基础上，探讨了复杂边界条件下求解的方法。