The properties of T G M(A), T G M is defined by T G M(A)=∑σ∈GM(σ)∑mt=1a tσ(t) where T G M denotes trace function derived from unitary matrix representation M of the group G, and G is a subgroup of the fule symmetric group S m.
讨论了TGM(A)的性质 ,这里G是m次对称群Sm 的子群 ,TGM(A)表示群G的酉表示M诱导的迹函数 ,定义为TGM(A) =∑σ∈GM(σ)∑mt =1 atσ(t) ,所得结果推广了TGχ(A)的性质 ,这里 χ是群G的特征标 。
The properties of d G M (A), where d G M denotes matrix function derived from unitary matrix representation M of the group G , and G be a subgroup of the full symmetric group Sn.
这里Ｇ是ｎ次对称群Ｓｎ的子群，而ｄＧＭ表示群Ｇ的酉表示Ｍ诱导的矩阵函数。
Using the general theory of the unitary representations of nilpotent groups and the formulas of unitary representations of two_step nilpotent groups,we obtain the concrete representation of the distributions and convolution operators on two_step nilpotent Lie groups.
从幂零Lie群酉表示的一般事实出发 ,利用二步幂零Lie群的酉表示 ,给出了二步幂零Lie群上分布的群Fourier变换和卷积算子的具体表
The characters of irreducible unitary representations of non Abelian compact 0 dimensional groups and the convergence of Fourier series are studied.
研究非交换紧零维群上的不可约酉表示的特征和Ｆｏｒｕｉｅｒ级数的收敛性。
It has a nutural unitary representation on L~(K,2) (D).
它在Ｌ~（ｋ，２）（Ｄ）上有一个自然的酉表示。
This article is a brief introduction of the unitary dual problem—the classification of equivalence classes of irreducible unitary representations of Lie groups—its origin,history and most recent progress.
本文旨在介绍李群不可约酉表示分类问题的起源,历史与最新进展。
Study on equivalent representation of nonsquare constants of spaces weaker than euclidean spaces
比欧氏空间弱的空间的非方常数等价表示
GPC (Generalized Predictive Control) is designed for a class of nonlinear system by substituting it with a time-varying linear system.
将一类非线性系统等价表示为时变线性系统，研究了非线性系统的广义预测控制。
Once again we use a word to denote its equivalence class and write equality to express equivalence.
我们再一次用一个字来表示它所在的等价类，并用等号表示等价。
Two kinds of expressions and their equivalence of the force on the projectile in coilguns
线圈炮弹丸受力的两种表示及等价性
The sign '=' expressed equality.
符号'='表示相等。
Indicate time, date, weather, natural phenomenon, environment, price, weights and measures etc.
表示时间、日期、天气、自然现象、环境、价格、度量衡等。
The sign" =" denotes that two things are equal.
等号“＝”表示两者相等。
Expressions of electron young tables for their energy matrixes of the equivalence electron configuration(l_+~2l_-~1);
等价电子组态(l_+~2l_-~1)的能量矩阵的电子杨表表示
I ask you (expressing disbelief,surprise,annoyance,etc
(表示怀疑,惊奇,烦恼等)
(of a clock,etc)mark the passage of time
（指钟等）表示时间过去
a mark, token, etc of respect
尊敬的标志、 表示等
render homage, obedience, allegiance, etc
表示敬意、 顺从、 效忠等
show great sorrow,anger,etc
表示极大的悲伤、愤怒等
The typical letter grading system is as follows: A=excellent;
等级制普通以A表示优；
read the time from a clock, etc
说出钟表等指示的时间
a merciful gesture, action, etc
宽厚的表示、 行为等.
a reproving glance, remark, etc
表示责备的一瞥、 话语等.
The equivalent in value of a sum of money expressed in terms of a different currency at a fixed, official rate of exchange.
等值用不同种货币以一个固定的官方交换汇率表示的一定货币的等量价值