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This paper obtains some equivalent characterizations of perfect strong screenable spaces under the condition 1 normal By using the one of them an equivalent proposition on the countable product is proved .

在正规T1的条件下得到了完全强可遮空间的一些等价刻画,并且利用获得的刻画证明了这类空间的一个可数乘积定理。

This paper obtains some equivalent characterizations of perfect strong screenable spaces under the condition T 1 normal By using the one of them an equivalent proposition on the countable product is proved .

在正规T1的条件下得到了完全强可遮空间的一些等价刻画,并且利用获得的刻画证明了这类空间的一个可数乘积定理。

In energy loss calculation, a method named equivalent resistance is introduced.

电能损耗计算中运用等值电阻法计算电能损耗,它将配电网中由线路和变压器绕组产生的可变损耗等价为两个等值电阻上的损耗,同时根据实际电网中负载的变化对这两个电阻进行修正,最后计算出网络的电能损耗。

In inequality in the equivalent transformation process requires a lot of mathematical ideas, discuss issues such as classification, the overall for-yuan,数形结合, transformation and so on as appropriate to the infiltration of these thinking, to improve the mathematical abilities of students have great help.

在不等式的等价转化过程中需要用到诸多的数学思想,如分类讨论问题、整体换元、数形结合、转化化归等等适当地渗透这些思想方法,对提高学生的数学能力有极大的帮助。

Based on the equivalent transformation from fuzzy possibility distribution to random probability density distribution, the fuzzy random failure probability calculation can be formulated easily, and a First Order and Second Moment method for fuzzy - random analysis is established.

提出了模糊随机可靠性分析的近似解析和数字模拟综合方法,基于模糊变量的等价随机化变换,可以方便地得到模糊随机失效概率的计算公式,并建立了模糊随机可靠性分析的一次二阶矩法。

Some equivalent conditions for unique ergodicity are included in theorem 6 and theorem 7 and the methods of the proof of theorem 7 is from functional analysis.

定理6及定理7给出唯一遍历的等价条件,定理7的证明采用的是泛函分析的方法。

From the ergodicity and the regularity of chaotic behavior,it is conclude that the algorithm has the asymptotical convergence property.

基于变分不等式的等价形式,构造了一种混沌搜索算法来直接求解变分不等式问题,根据混沌行为的遍历性和规则性,可以得到算法的渐进收敛性。数值试验结果表明,该算法是一个有效的方法

First, by using the properties of knots and the Jones polynomial, we research the relation between them, thereby involving in the projection diagram with n crossings, discuss the state S of the projection diagram L , through the properties of vertexgraph, Euler Formula, one studied the problem of the equal of the knots.

首先,我们利用纽结及琼斯多项式的性质研究了它们的关系,进而涉及了有n个交叉点的纽结投影图,对其投影图L的状态S进行讨论,并通过四岔地图,欧拉公式等性质,研究了纽结等价性问题。

By using the method for positive term resolution of equations of higher degree, all non-zero real roots of a real coefficient equation of higher degreewere obtained by determiningthe abscissas of intersection points of two monotonically increasing concave functions in the first quadrant of a planar rectangular coordinate system.

用高次方程正项分解方法,将求解实系数高次方程非零实数根的问题,转化成求解两单调上升凹函数在平面直角系第一象限内交点横坐标的等价问题;给出了基于共享存储多指令流多数据流并行计算模型求解任意实系数高次方程全部实数根的大范围收敛性异步并行迭代算法,并分析了算法计算的复杂程度。

The author investigates simultaneous approximation by Gama operators and the rate of pointwise convergence by new Gamma type operators.

本论文讨论了Gamma算子的同时逼近,Gamma算子线性组合同时逼近的等价定理以及新的Gamma型算子的逼近速度。

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