查询词典 boundary interval

In Chapter two, based on the result of Wang, we elaborate properties of boundary of interval Bézier curves and interval Bézier surfaces.

在第二章里，基于王国瑾([50])一文的结论，对区间Bézier曲线和曲面的边界进行了更细致的刻划。

The boundary of interval Ball curves of degree n is discussed and two algorithms for the degree reduction of interval Ball curves are given by means of linear programming and best approximation respectively.

讨论了n次区间Ball曲线的边界的构成；同时通过讨论区间多项式的降阶，利用线性规划法及最佳一致逼近法，给出了区间Ball曲线的的降阶算法。

We analyze the boundary structure of interval Bézier curves in detail. Efficient and reliable algorithms for evaluating the boundaries of the interval Bézier curve in 2D and 3D are presented.

作者对区间Bézier曲线的边界结构作了精细的分析，详细地给出了计算平面区间Bézier曲线边界的编程算法，并将边界曲线表示为B样条。

With the help of the optimization theory, we present the vertex solution theorem for determining both the exact upper bounds or maximum values and the exact lower bounds or minimum values of the dynamic response of structures, in which these parameters reach their extreme values on the boundary of the interval mass, damping, stiffness matrices and the interval external loads vector.

借助于优化理论，提出了确定结构动力响应精确上下界的极点求解定理，其中极值将在区间质量矩阵、阻尼矩阵、刚度矩阵和外载荷列向量的顶点达到。

In this paper, interval models in the convex models are used to describe the parameters having uncertain but boundary limits such as stress and load. The shortest distance from coordinate origin to failure surface in the expand space of standardized interval variables is chosen as the non－ probabilistic reliability index.

将具有不确定且有边界限制的应力、载荷等用凸模型中的区间模型来描述，取在标准化区间变量的扩展空间中，从坐标原点到失效面的最短距离作为非概率可靠性指标。

Firstly, according to electromagnetic field theory, the 2-dimensional (2-D) mathematical model of a three phase squirrel-cage Y802-2 induction motor is developed. Then general equations can be deduced from finite element discrete and functional analysis. The motor's 2D solving region of electromagnetic field is given based on the boundary conditions and assumption conditions of the squirrel-cage induction motor. Through finite element mothod and inner–outer convergence method, magnetic field distributions and magnetic forces of bars can be calculated in following rotor conditions: health rotor, one single broken bar, two adjacent broken bars, two broken bars with one good interval, two broken bars with two good interval and four adjacent broken bars.

本文首先根据电磁场理论建立Y802-2型三相笼型感应电动机二维电磁场的数学模型，并对其进行了有限元离散以及泛函分析，推导出总体方程；在基本假设和边界条件基础上，给出笼型感应电动机二维电磁场的求解区域，然后应用有限元并结合内外双收敛方法，对样机稳态运行进行数值计算，得出电机在转子完好、一根导条断裂、连续两根导条断裂、间隔一根两根导条断裂、间隔两根两根导条断裂及连续四根导条断裂六种情况下的磁场分布和导条所受电磁力的变化情况。

The deflection and moment wavelet parameters for common boundary conditions of beams were obtained from numerical features of interval boundary of BSWI functions.

根据BSWI函数区间边界的数值特征，得到了梁常见边界条件下的挠度和弯矩小波系数值。

In this research a new mathematical model - cubic polynom with two given derivatives at end points - was proposed which can good match the S-shpae curve.This model has a number of analytical features:describing the geographic phinomena prosesses in three hierarchies (textural fractal,structural fractal and state fractal); the boundary values of the structural fractal can be considered as the boundary values of interval of scaleless.

在研究中提出了扩展分维表达函数：带导数三次多项式，它能很好地表达反S形分布曲线，具有一系列解析特征：可从三个层次（纹理分形、结构分形和态势分形）上描述地理现象或过程；其中结构分形的边界可近似地看作是非扩展分维无标度区的上下界。

However, the second associated Legendre function is too complicated to compute, so a simple and practical ellipsoidal harmonic series expansion is introduced, and the series solution and integral solution of the Dirichlet boundary value problem and the Neumann boundary value problem under ellipsoidal boundary are given.

鉴于展开式中第二类缔合勒让德函数的计算较为复杂，接着引入一种形式简单、实用的椭球谐级数展开，介绍了椭球界面下Dirichlet边值问题和Neumann边值问题的级数解和积分解。

FENG Kang, YU De-hao and some other scholars of our country are the first ones to create the natural boundary element method, and they have successfully studied the natural boundary reduction method for the boundary value problems of harmonic equation and biharmonic equation.

我国学者冯康、余德浩等首创自然边界元法，并已成功地研究了调和方程及双调和方程边值问题的自然边界归化方法。

Liapunov—Schmidt method is one of the most important method in the bifurcation theory.

Liapunov—Schmidt方法是分叉理论的最重要方法之一。

Be courteous -- even when people are most discourteous to you .

要有礼貌──即使当別人对你最不礼貌的时候。