检索结果-南通市图书馆

维普期刊数据库

On Conjugacy Class Graph of Normal Subgroup

在线全文

学校读者我要写书评

暂无评论

Algebra Colloquium 2022年第3期29卷 437-442页

作者： Ruifang Chen xianhe zhao College of Mathematics and Information Science Henan Normal University XinxiangHenan 453007China

Let G be a finite group and N a normal subgroup of *** by Γ_(G)(N)the graph whose vertices are all distinct G-conjugacy class sizes of non-central elements in N,and two vertices of Γ_(G)(N)are adjacent if and only if they are not coprime *** prove that if the center Z(N)=Z(G)∩N and Γ_(G)(N)is k-regular for k≥1,then either a section of Nis a quasi-Frobenius group or Γ_(G)(N)is a complete graph with k+1 vertices.

关键词： normal subgroup conjugacy class size quasi-Frobenius group graph

维普期刊数据库评论

在线全文

维普期刊数据库

学校读者我要写书评

暂无评论

课程思政背景下代数学教学的探索与实践

河南财政金融学院学报（自然科学版） 2024年第2期33卷 46-50页

作者：赵先鹤赵于欣左红亮河南师范大学数学与信息科学学院河南新乡453007

课程思政背景下,代数学教学要求教师在讲授专业知识的过程中,不仅要培养学生的抽象思维能力和逻辑推理能力,更要注重对学生的思政教育。以同态基本定理为例,通过分析教学内容,挖掘事物的内在联系,在专业课的教学过程中实现课程育人的协... 详细信息

课程思政背景下,代数学教学要求教师在讲授专业知识的过程中,不仅要培养学生的抽象思维能力和逻辑推理能力,更要注重对学生的思政教育。以同态基本定理为例,通过分析教学内容,挖掘事物的内在联系,在专业课的教学过程中实现课程育人的协同效应,同时为教师教学和学生学习提供一定的借鉴和参考。

关键词：课程思政代数学群同态同态映射群同态基本定理

维普期刊数据库

A Note on Homogenization of the Hyperbolic-Parabolic Equations in Domains with Holes

在线全文

学校读者我要写书评

暂无评论

Journal of Mathematical Research with Applications 2016年第4期36卷 485-494页

作者： Zhanying YANG xianhe zhao School of Mathematics and Statistics South-Central University for Nationalities College of Mathematics and Information Science Henan Normal University

In this paper, we study a class of hyperbolic-parabolic problems in periodically perforated domains with a homogeneous Neumann condition on the boundary of holes. We focus on the homogenization of these equations, which generalizes those achieved by BensoussanLions-Papanicolau and Migorski. The proof is based on the periodic unfolding method in perforated domains.

关键词： hyperbolic-parabolic equations perforated domains homogenization periodic unfolding method

Porous organic cages as a novel platform for second harmonic generation

在线全文

同方期刊数据库

学校读者我要写书评

暂无评论

Science China Chemistry 2024年第11期67卷 3669-3674页

作者： Feng Shui Yunqin Zhang Mao Yi Xiongli Liu Lin Li Shuo Zhang Yongshen Zheng Yongtao Yao Qiao zhao Baiyan Li xianhe Bu School of Materials Science and Engineering National Institute for Advanced Materials TKL of Metal and Molecule-Based Material Chemistry Nankai University National Key Laboratory of Science and Technology on Advanced Composites in Special Environments Harbin Institute of Technology

Second harmonic generation(SHG) is one of the most extensively applied nonlinear optical phenomena. Compared to traditional inorganic SHG materials, organic SHG materials, including non-centrosymmetric small molecular crystals and organic polymers, have been extensively explored for SHG optics due to their advantageous properties, including high light-induced damage threshold, ultrafast response speed, high polarization ratio, wide transparency range, and elevated dielectric constant. However,in organic SHG materials, most small molecular crystals often show poor thermal stability(<200 °C) due to their low molecular weight, which is an important obstacle for practical application under high temperatures. On the other hand, the difficulty in the growth of large-size crystals as well as the disorderly array of chromospheres on polymer chains associated with organic polymers have hindered their widespread application in SHG due to the requirements of processability and ***, it is significantly necessary to develop novel organic SHG material with high thermal stability, large-size crystals,excellent processability, high homogeneity, and a well SHG effect. In the contribution, we developed herein porous organic cages(POCs) as a novel platform for SHG optics. Thanks to its inherent macromolecular composition and zero-dimensional discrete structures, POCs can not only solve the instability problem of small molecule crystals but also overcome the drawbacks in growing large-size crystals for organic polymer. The obtained two POCs with chiral asymmetric centers(CPOC-R-5 and CPOCS-7) display advantageous features for SHG optics including well SHG performance, large-size crystal(5 mm×3 mm×1 mm),high thermal stability(≥250 °C), wide transparency window(750–2,000 nm) and high polarization ratio(up to 94.5%). This work thus develops POCs as a new platform toward the construction of organic NLO materials with the potential application in sorts of SHG optics.

关键词： porous organic cages second harmonic generation novel SHG platform high thermal stability large-size single crystal