数集

On this basis from the fuzzy set with the classic set of relations, the application of fuzzy set of the latest set of decomposition theorem, A new fuzzy definition of the fuzzy distance, definition and application of this research is partial order triangular fuzzy numbers fuzzy distance.

在此基础上从模糊集与经典集的关系出发，应用模糊集的截集以及分解定理，提出一种新的模糊集的模糊距离定义，并应用此定义研究具有偏序关系的三角模糊数的模糊距离。

Two amelioration operators were developed, such as the triangular intuitionistic fuzzy numbers weighted arithmetic average operator, and the f interval-valued intuitionistic fuzzy numbers weighted geometric average operator.

定义了三角和区间直觉模糊集的一些运算法则，给出了直觉模糊集两个改进算子，即三角模糊数加权算术平均算子和区间直觉模糊数加权几何平均算子。

The concepts of Hausdorff dimension and measure have been introduced for near one hundred years. There are lots of works have been done on the calculation and estimation of Hausdorff dimension, such as the result of self-similar set which satisfies open set condition.

Hausdorff维数与测度的概念被引入至今己近百年，Hausdorff维数计算与估计的研究己取得相当进展，如关于满足开集条件的自相似集的结果，但对Hausdorff测度的计算而言所得的结果却不多。

Finally, the infimum is acquired of Hausdorff dimensions of its polar sets by means of constructing a Cantor-type set to connect Hausdorff dimension and capacity.

同时通过一个特殊的Cantor型集的构造将维数与容度巧妙地结合起来，得到了广义Brownian Sheet极集的Hausdorff维数的下确界。

Taking Kronecker product as an example, we furthermore illustrate applied potentialities of the generative set of mapping in fabic ...

并从实用出发，扩展了数模中的映射生成集，使其覆盖了组织设计中常用的变化手段，且以Kronecker积为例，说明数模映射生成集在组织CAD中的应用潜力。

Hence, the modulus of rigidity, G, of glulam was measured by vibration test method in order to realize the shear deflection effect. The E/G values of Japanese cedar, Taiwania, Douglas-fir, and southern pine glulam were ranged form 13.2 to 14.5, 14.6 to 16.6, 12.1 to 16.6 and 16.0 to 19.1, respectively. The pure MOE was also obtained. The Ep and MOR values of glulam were ranged from 10.6 to 13.4 GPa and 48.3 to 61.9 MPa for Japanese cedar, ranged from 12.1 to 15.0 GPa and 41.8 to 58.8 MPa for Taiwania, ranged from 10.5 to 16.4 GPa and 37.2 to 65.6 MPa for Douglas-fir, ranged from 14.5 to 20.6 GPa and 70.2 to 78.48 MPa for Southern pine, respectively.

而消除剪力挠曲影响，即可得集成材之抗弯弹性模数真实值与抗弯强度，依本研究配置所得之柳杉集成材之Ep值与MOR值分别为10.6-13.4 GPa与48.3-61.9 MPa；台湾杉集成材之Ep值与MOR值分别为12.1-15.0 GPa与41.8-58.8 MPa；花旗松集成材之Ep值与MOR值分别为10.5-16.4 GPa与37.2-65.6 MPa；南方松集成材之Ep值与MOR值分别为14.5-20.6 GPa与70.2-78.4 MPa。

In this dissertation, incorporating the level set algorithm, the gradient projection method, the nonlinear mapping technique, the return mapping algorithm and the mean curvature flow technique into topological optimization theory, a level set algorithm for topology optimization with multi-material structures is put forward, which can optimize a problem with general objective functions, multi-constraints, multi-materials and multi-load cases.

同时，又将拓扑导数理论和水平集算法结合起来，提出了结构拓扑优化的拓扑导数与水平集算法，进一步提高了计算效率。

Firstly, this paper definited pseudometric d for n -foldproduct of σ-algebra A of subsets of a given set X , and definited indicator function ; secondly, gave the concept of differentiable of set function at S° and concept of partial derivative at S° with respect to the ith argument Si through indicator function, and defound the weak efficient solution of and optimality necessary condition; Finally, obtained three weak duality results and strong duality results under generalized convexity conditions.

首先，对已知集X的子集的σ-代数A的n-折积A^n，定义了伪度量d，给出了相应的特征函数〈h，Is〉；其次，通过特征函数给出了集函数在S 可微的定义及集函数在S 关于第i个变量Si的偏导数定义；给出了多目标规划问题的弱有效解概念及的最优性必要条件；最后，分别在目标函数和约束函数的3种较弱凸性条件下，研究n-集函数多目标规划问题的对偶问题，获得了3个弱对偶结果和强对偶结果。

Furthermore, in order to greatly improve computational efficiency, another topological optimization method, named as a topological derivative and level set algorithm for topology optimization, is also proposed by unifying topological derivative theory with the level set method.

同时，又将拓扑导数理论和水平集算法结合起来，提出了结构拓扑优化的拓扑导数与水平集算法，进一步提高了计算效率。

Walling solar energy collector can be produced into many types of building units as nonbearing filled wall, such as "Heat collecting wall filler" and "Heat collecting roof". The walling solar energy collector is a kind of building unit, it can make full use of daylighting area of a whole wall, enhance the heat collection.

墙体太阳能集热器可以根据需要按照一定的模数制成适合各种建筑的&集热填充墙体&和&集热屋面&等建筑构件，做成南、东、西立面非承重式整体填充墙、部分填充墙、集热屋面等，该墙体集热器本身就是一种建筑构件。

Plunder melds and run with this jewel!

掠夺melds和运行与此宝石！

My dream is to be a crazy growing tree and extend at the edge between the city and the forest.

此刻，也许正是在通往天国的路上，我体验着这白色的晕旋。