本文研究有限群元素共轭类的平均长度问题。
This paper studies problem of the average length of conjugacy classes of finite groups.
摘要本文研究有限群元素共轭类的平均长度问题。
This paper studies problem of the average length of conjugacy classes of finite groups.
有限群在某个极小子群共轭类上的某种传递性影响或决定群的构造。
The transitivity of a finite group on the conjugates of some minimal subgroups influences or determines the structure of the group.
第三章主要研究有限群的正规子群外的共轭类的个数对群结构的影响。
In Chapter 3, we investigate how the number of conjugacy classes outside a normal subgroup of a finite group influences its structure.
第二章主要研究有限群的中心外的同阶元的共轭类个数对群结构的影响。
In Chapter 2, we investigate how the number of conjugacy classes of elements outside the center with the same order of a finite group influences its structure.
文中，我们给出了有限极小非abel群的一个共轭类长——刻画并建立某些相关的结果。
In this paper, we give a conjugacy-class-length characterization of finite minimal non-abelian groups and establish some related results.
如果先把互不共轭的同阶元的共轭类长合并得到同阶类长，再把同阶类长相加就得到了阶方程。
We can get the size of same order elements if we put some different conjugacy classes with the same order elements together, then we will get order equation of a finite group.
课题主要研究有限群的正规性条件及其对于有限群结构的确定和有限群的共轭类的长度对群结构的影响。
The project under research mainly focus on the different conditions of normality and the permutation of groups and use the normality to determine the structure of finite groups.
共轭梯度法是求解最优化问题的一类有效算法。
Conjugate gradient methods are important iterative methods for solving optimization problems.
共轭梯度法是求解无约束优化问题的一类有效方法。
The conjugate gradient method is one of the most efficient methods for solving unconstrained optimization problems.
具有共轭点的类光测地线的固有加速度趋于无穷大。
It is shown that the proper acceleration of null geodesic with conjugate points approaches infinity.
本文研究了解决大型稀疏对称正定线性方程组的一类预条件共轭梯度法。
This paper is investigated a preconditioned conjugate gradient method in solving a linear algebraic system of large sparse symmetric and positive equations.
采用模板导向法高产率地合成了两个含长链亚烷基桥的芳炔类共轭大环。
The synthesis of the first two arylenealkyne conjugated macrocycles containing long alkylene bridge via Glaser coupling of template-directed tetraacetylenes was reported.
该设计方法包括两个种类：一类是已知锥形齿轮基本参数，需确定共轭齿轮副及机构安装参数的直接设计法；
The former is a method to determine the mounting dimensions when the basic dimensions of a pair of gears are given first.
对该模型施加适当的约束和载荷，通过预前共轭梯度法，计算得到了轴类零件在常见工况-弯曲和扭转载荷作用下的位移、应力、应变等力学特性。
Results of displacement, stress and strain of the shaft under the common loads of bend and torsion are obtained by Pre-condition conjugate gradient method.
共轭方向算法是非线性最优化理论中一类重要的算法，确定共轭向量是共轭方向算法的关键。
Conjugate direction algorithm is an important algorithm in the theory of optimization. Determining conjugate vectors is a key in conjugate direction algorithm.
研究表明，共轭亚油酸的抗癌作用可归结为抑制衍生自花生四烯酸的类二十烷合成的能力。
Current studies indicate that the anticarcinogenic functions of CLA can be attributed to the ability to inhibit the synthesis of eicosanoids derived from arachidonic acid.
卟啉是一类具有刚性的共轭大环类化合物，在光的照射下，易被激发，产生强荧光。
Porphyrins are a class of macrocyclic compounds with rigid conjugate structure, it can easily emit strong fluorescence under irradiation.
第三章利用矩阵理论与重合度理论，讨论了一类非自共轭非线性二阶差分方程周期解的存在性问题。
Chapter 3 is centered around the existence of periodical solutions for non self-adjoint nonlinear second order difference equations by invoking matrix theory and coincide degree theory.
圆周的对称点与球透镜的齐明点虽然有一个相同的表达式，但这两类不同范畴的共轭点有着内在的差异，分析这种差异，有利于更好地理解它们。
The circular symmetric point and the apalanatic point of spherical lens have one same expression, however the two kinds conjugate point are belong to difference category.
共轭脂肪酸是一类特殊的多不饱和脂肪酸，最常见的共轭脂肪酸为共轭亚油酸(CLA)和共轭亚麻酸(CLNA)。
Conjugated fatty acids are a special class of polyunsaturated fatty acids (PUFA), the most common conjugated fatty acids are conjugated linoleic acid (cla) and conjugated linolenic acid (CLNA).
在推广线搜索下给出了一类共轭梯度法的全局收敛结果。
This paper gives the global convergence of a class of conjugate gradient methods with relaxed line search.
在推广线搜索下给出了一类共轭梯度法的全局收敛结果。
This paper gives the global convergence of a class of conjugate gradient methods with relaxed line search.
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