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Using level-set method, mathematical representation for contimuum structures is proposed by means of the vector of level-set, and the general structure topology optimization can be expressed by a constrained functional minimization problem of a set of level set functions.

其次利用水平集方法将一般拓扑优化问题描述为一组水平集函数的约束泛函极小化问题，应用敏度分析，给出了此泛函极小化数值迭代求解公式，即水平集演化方程。

In 2D eddy current field computation, for the first time, this dissertation proves that there is an analytical solution of infinite series convegence for the problems satisfying the MT expansion condition, derives the MT general solution formula and the using laws, proves or explains the using rules that are used in the GMT and but they can't be proven or explained by the GMT, and solves several real engineering examples of 2D eddy current field boundary-value problems by the MT.

本文从电磁理论和有关数学定理出发，通过引入内极、外极、内交角的概念，建立一种新的电磁场计算体系——电磁场分析中的多极理论；从理论上证明，在电磁场分析中存在一种无穷级数收敛，且有一定普遍性的解析解。

It is pointed out that optimal solution of linear programming can be represented as a sum of a convex combination of the optimal extreme point s and a nonnegatively linear combination of the optimal extreme directions.

本文指出了线性规划的最优解可表示为最优极点的凸组合和最优极方向的非负线性组合之和，确定了最优极方向存在的条件。

We also construct an algorithm for minimizing its Moreau-Yosida regularization, because this is a smooth convex optimization problem.

极小化一个凸函数可以采用在UV-空间分解理论基础上提出的概念型超线性收敛算法，也可以采用极小化这一凸函数的Moreau-Yosida正则化函数的算法，因为这是一个凸规划的光滑最优化问题。

This paper first analyzes the causes of commercial cookroom fire ,and educe that the major cause is the self-ignition of edible oil resulted from the durative high temperature of boiler.

商用厨房火灾的最主要原因是油锅的持续高温引发食用油自燃起火，食用油极易复燃的火灾行为大大增加了其扑救难度，通过实验表明，细水雾灭火剂极强的冷却作用能够有效扑救食用油火灾。

Third,argument-polar radius curve of polar coordinate system whose pole is geometric gravity is formed,and maximum and minimum value points are searched.

然后以重心为极点，对边缘点极坐标化，形成幅角-极径曲线，在该曲线上寻找局部极大极小值点。

And in the seven years of abundance the earth produced copiously.

41：47 七个丰年之内，地的出产极丰极盛。

We prove that in every nonzero coset, there is a unique element with minimal Euclidean weight among the group of elements with minimal Mahattan weight.

证明了在每个非零陪集中，具有极小Hexagonal重量的元素集合里，具有极小欧氏重量的元是唯一的。

Ether particles also are the media of electric field, between the opposite charge Ether particles in infinitesimal distance the rule of attracting is not meet the Coulomb's law, the strong interaction is the special situation of the electric field in the infinitesimal distance, it is not a new interaction.

以太是电场的介质，相反电荷在极小距离上产生的吸引作用并不满足库仑定律，所谓的强相互作用是电场极小距离时的特殊情况，并不是一种特殊的作用。

In late twentieth century, a kind of minimalism architecture characterized with laconic shape, pure space and ingenious frame was paid more attention by design circle and it also brought thoughts to Chinese craft brother at the same time.

20世纪后期，一种以简洁的形式、纯净的空间和精巧的结构为特征的极少主义建筑，引起设计界的普遍瞩目，同时在中国的设计行业也引发了一股极少主义的建筑思潮。

On the other hand, the more important thing is because the urban housing is a kind of heterogeneity products.

另一方面，更重要的是由于城市住房是一种异质性产品。

Climate histogram is the fall that collects place measure calm value, cent serves as cross axle for a few equal interval, the area that the frequency that the value appears according to place is accumulated and becomes will be determined inside each interval, discharge the graph that rise with post, also be called histogram.

气候直方图是将所收集的降水量测定值，分为几个相等的区间作为横轴，并将各区间内所测定值依所出现的次数累积而成的面积，用柱子排起来的图形，也叫做柱状图。