导出群

基本解释 (translations)

commutant

与导出群相关的网络例句 [注：此内容来源于网络，仅供参考]

It is proved that the least squareestimators of linear estimable functions of regression coefficients areadmissible under matrix loss and minimax. The necessary and sufficientexistence conditions are derived for the uniformly minimum riskequivariant estimators of linear estimable functions ofregression coefficients under an affine group and a transitive group oftransformations respectively. It is also proved that there are no UMREestimators ofthe covariance matrix and variance under an affine groupof transformations and quadratic loss functions.

本文证明了回归系数的线性可估函数的最小二乘估计是极小极大的且在矩阵损失函数下是可容许的；还分别在仿射变换群和平移群下导出了存在回归系数的线性可估函数的一致最小风险同变估计的充要条件，并证明了在仿射变换和二次损失下不存在协方差阵和方差的 UMRE 估计。

In section 4,we research the solvable groups of finite rank,and provethat the union set of all quasi-cyclic subgroups of G is a characteristic subgroup andthe Hirsch number hdoes not exceed n if G is a solvable group of rank n.Inparticular,for an arbitrary solvable torsion-free group G of rank n,we give theupper bound fof the derived length of G.

在第4节里，我们研究了有限秩的可解群，证明了这类群的所有拟循环子群构成它的一个特征子群，且对秩n的可解群G来说，其Hirsch数h≤n，另外，我们给出了秩n的无挠可解群的导出长度的一个上界。

With regard to the section of coset in algebraic structure, a series of well-mastered concepts including equivalent relationship and division are applied, and typical examples are cited to introduce the conception of equivalent relationship-coset relationship defined through subgroup.

对于其中代数结构部分的陪集一节，应用已经熟知的等价关系和划分的概念，通过引例导出由子群定义的等价关系―陪集关系，进而得到群的划分―陪集，再研究陪集的性质。

Aim In order to prove a semiring whose additive reduct is a semilattice and multiplicative reduct is a inverse semigroup to be a distributive lattice.

摘要目的求证加法导出是半格、乘法导出是逆半群的半环成为分配格的充要条件。

Not every subgroup of a D-group is also a D-group. If a subgroup is a D-group we call the subgroup "sub- D -group." The "commutator ideal" of G is the smallest sub-D-group containing its commutator subgroup. We found that the commutator ideal can be viewed as a finitely generated module over a ring when G is a finitely generated metabelian D-group.

并非每个子群都是一个可除群，若一个子群是可除群，我们称之为子可除群(sub-D-group)，而G 的交换子理想则是在G中包含其导出群的最小子可除群，我们发现当G是一个有限生成亚交换可除群时，其交换子理想是一个有限生成模。

After descibing the concepts, definitionsand operation approaches of quantum group and SLq(2) Lie algebra, the physicalmeaning of quantum group particles is explained in the present thesis. The gaugeinvariance in SLq(2) gauge field and its thermodynamics model is considered basedon the idea of q-deformation. The zero energy gap equation and q-deformed energygap equation are derived under the assumption of q-quantization and semi-classical q-quantization, then the zero-temperature energy gap A(0,q) and crititical temperature〓 can be calculated from the q-energy gap equation.

在介绍了量子群和SLq(2)李代数的基本概念，定义和运算方法后，文中进一步阐述了量子群粒子的物理意义；在q变形思想基础上，本文研究了SLq(2)规范场及其热力学模型中的规范不变性质，并在q量子化和半经典q量子化的假设下导出了零能隙方程和q变形能隙方程；然后从q能隙方程计算了与零温度能隙△(0，q)和临界温度〓。

The generators and irreducible representation coherent stato of the SU(1,1) group are constructed by using the inverse operators of hose harmonic oscillator, and the inhomogeneous inverse differential realization s of the SU(1,1) group are derived

利用玻色振子的逆算符构造了SU（1，1）群的生成元和不可约表示的相干态，导出了SU（1，1）群的非齐次逆微分实现。

In Chapter 4, we give a new proof of the local Lipschitz continuity of H-convex functions on the Heisenberg group. For a Carnot group of step two, we obtain a characterization of H-convex functions and prove that H-convex functions are locally Lipschitz continuous.

第四章，我们导出了Heisenberg群上H-凸函数的Lipschitz连续性的一个新证明，对于二阶Carnot群，我们给出了H-凸函数的一个特征并证明了Carnot群上H-凸函数是局部Lipschitz连续函数。

Thus we extend the works by Fan and Humphreys independently on polycyclicgroups.In section 3,we prove that 〓 if G is a solvable non-torsion group ofrank 3.This extends a result of McCutcheon who proved it only for polycyclicgroups.

在第3节里，我们讨论了秩3的可解群，证明了当这类群含有无限阶元时，其导出长度至多为6，但在挠群的场合，其导出长度是不能界定的，这推广了McCutcheon的一个结果。

Nonetheless, the result showed that Pinus, Ginkgo, Cycas form a monophyletic group, which is sistered to angiosperms. Together, they from a clade that is sistered to Gnetales.

邻近连接法和贝叶氏导出氏分析结果将松叶蕨、瓶尔小草，和生根卷柏的matK序列一起形成一个单源群，同属石松类的过山龙与生根卷柏序列并未形成姐妹群。

与导出群相关的网络解释 [注：此内容来源于网络，仅供参考]

adjoint group：伴随群

adjoint graph 导出图 | adjoint group 伴随群 | adjoint hilbert problem 伴随希耳伯特问题

commutant：换位子群, 导出群

commutable | 可取代的 | commutant | 换位子群, 导出群 | commutate ammeter | 多挡安培计

commutate ammeter：多挡安培计

commutant | 换位子群, 导出群 | commutate ammeter | 多挡安培计 | commutate | 使方向转换, 整流

derived series：导出级数,导出群列

derived sentential form 导出句型 | derived series 导出级数,导出群列 | derived set 导集

series of derived groups：导出群列

降序级数 series of decreasing powers | 导出群列 series of derived groups | 升幂级数 series of increasing powers

generating function：生成函数

除了高中所学的组合排列公式,计数中常用的方法有生成函数(generating function)、递回、差分方程、超几何函数(hypergeometic functions),群论导出的Polya公式,排容原理(Inclusion Exclusion Principle)等等.