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1·Several proofs are provided free of representation theory on which the originals were based.

几证据提供没有代表原物被基于的理论。

2·Very recently, the sparse representation theory in pattern recognition arouses widespread concern.

稀疏表征理论在模式识别中的应用引起广泛的关注。

3·The almost split sequence is an important instrument in research of the representation theory for algebra.

几乎可裂序列是研究代数表示论的一个有力工具。

4·Based on commonality choice theory and representation theory, the thesis analyses related interest parties.

根据公共选择理论和代理理论，分析了土地收购中各利益团体。

5·It is proved that this lattice is a Boolean algebra, and the representation theory of discretization lattice is given.

证明了离散格是一个布尔代数，给出了离散格的表示定理。

6·The representation theory of simple Lie groups has now been established as one of the most useful tools in modern physics.

单纯李群的表示论已经成为研究现代物理学最有用的数学工具之一。

7·It should become clear why the Dirac equation has four components and how the Dirac matrices arise in representation theory.

为什么狄拉克方程的波函数有四个分量和狄拉克矩阵如何产生于表象理论就应该变得明朗了。

8·The differential Jones vector equation is derived, then the representation theory of differential Jones-matrix is introduced.

首先推导了单模光纤的微分琼斯矩阵方程，并引入微分琼斯矩阵的表象理论。

9·Discourse Representation Structure (DRS) in the Discourse Representation Theory (DRT) provides a new way to anaphora resolution.

语篇表述理论(DRT)独特的语篇表述结构(DRS)构造方法为指代消解提供了新的思路。

10·Algebra representation theory is a new algebraic branch arising in 1970s whose researches mainly focuses on rings and algebraic structures.

代数表示论是上世纪七十年代初兴起的代数学的一个新的分支，它的基本内容是研究环与代数的结构。