1) internal direct product
![点击朗读](/dictall/images/read.gif)
内直积
1.
The important equality U(st)=U_s(st)×U_t(st)U(t)U(s) which joins external direct products and internal direct products is proved.
模n整数U -群是一类重要的交换乘群,它为我们更好地表述群的类似外直积与内直积相互关系的一些代数特征提供了极其简便的方法。
3) intuitionistic fuzzy co-inner product spaces
![点击朗读](/dictall/images/read.gif)
直觉模糊余内积空间
1.
On intuitionistic fuzzy inner product spaces and intuitionistic fuzzy co-inner product spaces
直觉模糊内积空间和直觉模糊余内积空间
4) kronecker product
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直积
1.
DBL access codes are generated from the left or right kronecker product of the LS codes and the extending matrix,and are called DBL left-product codes and DBL right-product codes,respectively.
DBL码由基本LS码与矩阵左、右直积生成,分别称为DBL左乘码和DBL右乘码,两类DBL码各有特点。
2.
The concept of Kronecker product is introduced into graph theory in this paper.
![点击朗读](/dictall/images/read.gif)
将矩阵直积的概念引入图论,证明了直积图的结点数、度及特征值分别等于原图结点数之积、度之积和特征值之积,并将这些性质应用于由两个膨胀图构造一个新的膨胀图,分别从矩阵的角度和图的角度给出了构造算法。
3.
Several diagonall dominant properties and ∞-norm inequalities for Kronecker product of diagonally dominant matrices are given.
给出了对角占优矩阵直积的一些对角占优性质以及∞-范数估计式。
5) direct product
![点击朗读](/dictall/images/read.gif)
直积
1.
Isomorphic representations of cyclic groups and their direct product;
![点击朗读](/dictall/images/read.gif)
循环群与循环群直积的同构表示
6) inner-product
![点击朗读](/dictall/images/read.gif)
内积
1.
A new integration method is proposed to simplify the strain rate vector inner-product by the mean value theorem in a cylindrical coordinate system.
提出以积分中值定理简化应变速率矢量内积的积分方法。
2.
Its inner-product is integrated term by term.
![点击朗读](/dictall/images/read.gif)
首先将有鼓形平板锻造等效应变速率表示成二维应变速率矢量,化为矢量内积后进行逐项积分;其次将逐项积分结果求和并引进鼓形参数计算公式,进而得到应力影响因子的解析解。
3.
First, effective strain rate for disk forging with bulge is expressed in terms of two-dimensional strain rate vector and its inner-product term by term integrated.
首先将有鼓形圆盘锻造等效应变速率表示成二维应变速率矢量,对该矢量的内积进行了逐项积分;其次,将逐项积分结果求和并证明了求和结果与传统直接积分法的塑性功率表达式相同;最后由速度场推导出圆盘锻造应力影响因子的解析解与相应的鼓形参数b的计算公式。
补充资料:半直积
半直积
semi-direct product
【补注】A乘以B的半直积通常记作B冈A或B:A.石生明译王杰校半直积[胭顽一面eCt pr仪IuCt;no几ynp“Moe npo“3哪e-““e],群A乘以群B的 群G=AB,是它的子群A及B的积,其中B是G的正规子群且A门B二{1}.若A也在G中正规,则半直积成为直积(direct Pr以luCt).两个群AB的半直积不是唯一决定的.为构造半直积还应知道A的元素在B上的共扼作用诱导出B的哪些自同构.精确地说,设G二AB是半直积,则对每个元素“任A,对应到自同构:。〔AutB,它是由元素a作共扼: :。(b)=aba一’,b任B.这里,对应a~:。是A~AutB的同态.反之,设A及B是任意群,则对任何同态p:A~AutB有群A乘以群B的唯一半直积,满足:。“印(a),对任意a‘A.半直积是群B被群A所扩张的特殊情况(见群的扩张(e刀比nsion of agro印));这样的扩张称为分裂的(sPlit).
说明:补充资料仅用于学习参考,请勿用于其它任何用途。
参考词条