On the some normal subgroups of the extended modular group

In this paper, we give the group structures and the signatures of some normal subgroups of the extended modular group Π containing the principal congruence subgroup Γ(12).     

On a generalized mixture of standard normal and skew normal distributions

Here we propose a new class of distributions as a generalized mixture of standard normal and skew normal distributions (GMNSND) and study some of its properties by deriving its characteristic function, mean, variance, coefficient of skewness etc. Further, certain reliability aspects of GMNSND are studied and a location scale extension of GMNSND is considered. The estimation of the parameters of this extended GMNSND by the method of maximum likelihood is discussed.     

分担集合的亚纯函数正规族

对复平面C的非空有限子集S_1和S_2,记在复平面区域D内满足{z∈D:f(z)∈S_1}={z∈D:f′(z)∈S_2}的全体亚纯函数f形成的函数族为D,那么当S_1和S_2共有至少12个元素对函数族D正规.特别地,当S_1具有至少三个复数时,我们得到了准确的结果.     

多维正态分布函数的表示

在许多金融问题的研究中,如金融衍生产品定价、金融风险度量与管理等领域,经常用到多维正态分布函数.在概率论与数理统计文献中只给出了一维标准正态分布表,而多维正态分布函数的计算问题没有给出具体的算法.本文给出了多维正态分布函数与一维标准正态分布函数的关系式,从而解决了多维正态分布函数的计算问题.     

六阶图G与Sn的积图的交叉数

确定图的交叉数是NP．完全问题．目前已确定交叉数的六阶图与星图的笛卡尔积图极少。本文确定了—个六阶图G与星图5k积图的交叉数为Z（6,n）＋2n＋[n/2].     

云教学在化学师范生数字化实验课中的应用研究*

结合本校化学教学论实验的教学现状,融合云教学及翻转课堂理念对教学进行重构,设计并实施以“蓝墨云班课”云平台为师生互动桥梁的翻转课堂云教学。以中学化学数字化实验教学为例,让化学师范生以“学习者”和“未来教师”的双重角色体验翻转课堂云教学的学习过程,并利用SERVQUAL模型评价法对云教学进行数据分析、反馈完善。通过进一步问卷分析,了解到学生不仅熟练地掌握了所学知识内容,而且对翻转课堂模式与实施细节有了更为深刻的理解,最后对翻转课堂云教学及师范生教学提出了几点建议。     

高校师范生化学教学设计课程学习的问题及对策研究*

提高师范生的教学设计能力是师范生培养的重要内容。选取了1所省属师范院校的卓越教师计划师范生为研究对象,从教材分析、学情分析、教学目标、教学重难点、教学过程、板书设计等6个维度对师范生化学教学设计的现状进行调查,发现经过化学教学设计课程的学习,师范生在“学情分析”和“板书设计”2个维度上的整体水平较其他维度仍然很低。针对存在的问题探讨了提升师范生培养质量的对策,为推动师范生培养质量的持续改进提供参考。     

Complex Inner Product Averaging Method for Calculating Normal Form of Ode

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一种构造高维Nilpotent正规型的方法

正规型方法是一种有效的简化一类非线方程的方法。今提出了一种简便的代数方法去构造高维非线性系统的Nilpotent范式。通过引入一系列简单的变换和代数运算,而无需求解任何偏微分方程,即可得到高维非线性系统的Nilpotent范式。以四维非线性系统为例介绍这个方法。该方法完全适用于分析高于四维的非线性系统的Nilpotent范式。     

Elastic properties of a dilute surfactant solution in the shear induced state

The first normal stress differences N ₁ of a highly dilute cationic surfactant solution are investigated in a cone-and-plate rheometer. In continuation of a previous paper (Nowak 1998), where the buildup of a shear induced structure in such a solution was attained after a reduced deformation, the N ₁ turned out to be in proportion to the square of the shear rate γ˙ reduced by a critical value γ˙ _c in a first range above γ˙ _c . At higher shear rates the N ₁ tend to lower values than predicted by this relation. Relaxation experiments were performed in the same geometry to determine the characteristic time scales of the shear induced state's decay. In the lower range above &γdot; _c the stress decay is a monoexponential process, while a second time constant has to be introduced to describe the relaxation in that range, where the N ₁ deviate from the parabolic dependence of the reduced shear rate. Received: 10 May 1999 Accepted: 15 November 2000