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Tests was carried out on cookies both in single and package unit to measure its velocity change and acceleration in different orientation in different damage rate based on damage boundary theory. The damage boundary curve was obtained.

以苏打饼干单片和单包为研究对象，应用破损边界理论，设计相关实验，测试饼干在不同破损率条件下各个方位的速度变化及加速度，构造出饼干的破损边界曲线。

The dissertation is mainly concerned with research of necessary and sufficient boundary integral equations and nonsingular boundary element method.

本文主要研究充要边界积分方程和无奇异边界元方法。

If the first group of curves you select form a closed boundary, the surface will be trimmed to that boundary.

如果你选择的第一组曲线来自一个封闭的边界，生成的曲面将被这个边界修剪。

The results showed that grain boundary width and grain boundary form of the aluminum alloy would change during superplastic deformation.

此状态下的铝合金在超塑性变形过程中晶界宽度和形态会发生改变。

Based on the perfectly matched layer absorbing boundary condition, a new form of PML absorbing boundary condition in cylindrical coordinate suitable for optical fiber is derived.

在已有的完全匹配层吸收边界条件的基础上推导了圆柱坐标系下适用于光纤计算的PML吸收边界条件。

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。

The proposed method has the merit that the numerical characteristics of stochastic temperature field response can be obtained by analyzing the random temperature field just in one time.3. Perturbed numerical algorithm of nonprobabilistic convex set theoretical models on the temperature fieldThe uncertain parameters of physical parameters and initial boundary conditions of heat conduction are described by the convex model. The perturbation formulas of the upper and lower bounds of temperature field response with unknown-but-bounded parameters are given via the combination of matrix perturbation theory and the convex set theory model.4. Numerical analysis for transient temperature field with interval parametersConsidering the uncertainties of the transient heat transfer, the physical parameters and initial boundary conditions are regarded as interval variables.

该方法具有只进行一次随机温度场分析便可以获得其响应的数字特征的优点。3、温度场的非概率凸集合理论模型的摄动数值解法将结构导热的物理参数、温度场的初始和边界条件等不确定性参数以凸模型加以描述，基于矩阵摄动理论和处理不确定问题的凸集合理论模型的结合，导出有界不确定参数瞬态温度场响应所在集合的上、下界摄动计算公式。4、具有区间参数的瞬态温度场数值分析考虑结构瞬态热传导问题的不确定性，将结构各物理参数和温度的初、边值条件均视为区间变量。

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。

Every piece of boundary line is a common boundary between two areas.

每一条边界线都是相邻两个区域的边界。

The existence of solutions for multi-point boundary value problem with p-Laplacian operator is investigated by using monotone iterative method, h is proved that boundary value problem has at least one positive solution under suitable conditions.

研究带p-Laplace算子的非线性微分方程的多点边值问题解的存在性，应用单调迭代，给出了这类边值问题存在解的充分条件，还给出了向正解靠近的单调集。

Nowadays, most of research are to build a transmutative Petri Nets through adding controlling place sets, controlling arc sets and controlling policy to the basic Petri Nets, while the Controlled Petri Nets could be used to argue many controlling theory problems conveniently and to induce many logically and physically supervisory and solve the Event Feedback Controlling Problems and State Feedback Controlling Problem in DEDS supervisory theory.

目前大多数的研究表现为在变形后的受控Petri网基础上，利用各种方法求得各种逻辑型、结构型控制器，解决DEDS监控理论中的事件反馈控制问题与状态反馈控制问题。

On one hand, there are discussions with the works council and union about extension of short time working up to the end of September.

一方面，有讨论，工程理事会和联盟关于延长工作时间短至9月底。