完全可约的

By defining restricted representation,we get the necessary andsufficient condition for all restricted representations of a restricted Liesuperalgebra to be completely reducible.

最后，通过定义限制表示，得到了一个限制李超代数的所有限制表示是完全可约的充要条件。

The optimal parameters of this subsystem can be gotten by computer computation. The Raman scattering signals can be splitted when entrance angle is about 36o and separation angles of every two prisms are about 106o.

应用计算机对分光系统进行了模拟计算，以实现分光系统参数的最佳匹配：在入射角约为36o，棱镜间的夹角约为106o时，该分光系统可完全分开O2、N2、H2O拉曼信号。

Finally, the author proves the sharp bound for the indices of convergence of n*n reducible Boolean matrices with f〓≥2 the writer lets f〓 be the greatest common divisor of the distinct lengths of the elementary cycles of the associated digraph D (A for a reducible Boolean matrix A , and characterizes the matrices with the largest index.

最后，设f〓为可约布尔矩阵A的伴随有向图D的所有圈长的最大公约数，当f〓≥2时，我们得到了可约布尔矩阵幂敛指数的一个上界和达到最大幂敛指数的矩阵的完全刻划。

In chapter 2, we study a kind of operator algebra acted on the Hilbert space H which is called the closed weakly reducible maximal triangular algebra, denoted by S.

第二章我们研究了一个作用在Hilbert空间Η上的闭弱可约极大三角代数S，证明了S的系数在Β中的任意阶完全有界Hochschild上同调群H_~nS，Β(Η(n≥1)是平凡的。

The production process needs only 3 hours , but the yield of Tencel fiber raises about six times compared with that of common rayon. The NMMO solvent is completely innocuousness to human bodyand can be completely recovered (about 99.5%) and reused. So the production process is green process. Tencel fiber is credited green fiber in the twenty-first centuries.

相比普通粘胶纤维，整个生产过程仅需约3小时，然而Tencel纤维产量可提高6倍左右；Tencel生产中所使用的氧化胺溶剂对人体完全无害，并可完全回收(99.5%以上)和反复使用，生产中原料浆粕所含的纤维素分子不起化学变化，无废弃物排出厂外，不会污染环境，属于"绿色生产工艺"，所以Tencel纤维被誉为二十一世纪绿色纤维。

The completely diagonalized Hamiltonian matrices of 3d2/3d8 ion configuration in the trigonal symmetry have been established by irreducible representation method. Taken into account the influence of the spin-spin coupling interactions omitted in previous publications, the spectra and the constants of crystal structure and zero-field splitting parameters of CsNiCl3 crystal and CsNiCl3: Mg2+ crystal are calculated and the influence of the doping to the spectra, the constants of crystal structure, zero-field splitting parameters and Jahn-Teller effect are studied. The results show that doping can change the structure of crystal which brings about the changes in the spectra and zero-field splitting parameters as well as Jahn-Teller effect.

应用不可约张量理论构造了三角对称晶场中3d2/3d8态离子的45阶可完全对角化的微扰哈密顿矩阵，在考虑了以前工作中被忽略的自旋-自旋耦合作用的基础上计算了CsNiCl3晶体和CsNiCl3：Mg2+晶体的基态能级、晶体结构、零场分裂参量和Jahn-Teller效应，研究了掺入Mg2+对CsNiCl3晶体的光谱、零场分裂参量及Jahn-Teller效应的影响和自旋单重态对基态能级的贡献，发现掺杂使得晶体结构产生畸变，从而改变晶体光谱的精细结构和零场分裂参量，不改变Jahn-Teller效应的分裂规律但改变分裂的大小。

The complete diagonalized Hamiltonian matrixes of order 120 of 3d~3/3d~7 ions configuration in the trigonal symmetry have been established by irreducible representation method and group theory,taking spin-orbit interaction,spin-spin interaction and spin-other-orbit interaction into account.

应用不可约张量方法和群的理论构造了三角对称晶场中考虑自旋-轨道相互作用，自旋-自旋相互作用和自旋-其它轨道相互作用的3d3/3d7态离子的可完全对角化的120阶微扰哈密顿矩阵。

The completely diagonalized Hamiltonian matrices of 3d2／3d8 ion configuration in the trigonal symmetry sites have been established by irreducible representation method. Taken into account microscopic magnetic interactions, the spectral fine structure, local structure and zero-field splitting parameters of V3+:α-Al2O3 and Ni2+:α-Al2O3 crystals are investigated as well as the influence of the doping.

应用不可约张量方法构造了三角晶场中3d2/3d8态离子的45阶可完全对角化的能量哈密顿矩阵，在考虑了微小磁相互作用的基础上计算了V3+：α-Al2O3和Ni2+：α-Al2O3晶体的光谱精细结构、晶体局域结构和零场分裂参量，研究了掺入Ni2+和V3+对α-Al2O3晶体光谱精细结构、晶体局域结构和零场分裂参量的影响。

The completely diagonalized Hamiltonian matrixes of order 120 of 3d3/3d7 ions configuration in the trigonal symmetry have been established by irreducible representation method and group theory,taking into account spin-orbit interaction and spin-spin interaction.The ground-state energy levels,the zero-splitting parameter and Jahn-Teller effect of ruby crystal were calculated with the matrixes.

应用不可约张量方法和群的理论构造了三角对称晶场中考虑自旋-轨道相互作用，自旋-自旋相互作用的3d3/3d7离子的可完全对角化的120阶微扰哈密顿矩阵，利用该矩阵计算了红宝石晶体的基态能级、零场分裂参量和Jahn-Teller效应，研究了自旋-轨道的自旋二重态对基态能级的贡献，证明其二重态对基态能级的贡献是不可忽略的，理论计算值与实验值相符合。

Results showed that single ozone oxidation can only remove about 50% nitrobenzol, single active carbon absorption can reduce nitrobenzol to a standard index mark when empty-bed station time exceeded 15 minutes, but ozone oxidation-active carbon absorption technology can remove nitrobenzol completely when the time exceeded 10 minutes.

研究发现：单独采用0 氧化能去除约50％的硝基苯；单独采用活性炭吸附，在空床停留时间大于15 min时可使出水指标达到标准要求；而对于O 氧化一活性炭吸附工艺，当停留时间在10 min 以上时，可完全去除水中的硝基苯。

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。