Modular class primes in the Sundaram sieve

The purpose of this paper is to consider analogues of the twin-prime conjecture in various classes within modular rings.     

On a certain class of locally conformal symplectic structures of the second kind

We study locally conformal symplectic (LCS) structures of the second kind on a Lie algebra. We show a method to construct new examples of Lie algebras admitting LCS structures of the second kind starting with a lower dimensional Lie algebra endowed with a LCS structure and a suitable extension. Moreover, we characterize all LCS Lie algebras obtained with our construction. Finally, we study the existence of lattices in the associated simply connected Lie groups in order to obtain compact examples of manifolds admitting this kind of structure.     

基于能力培养的应用型本科物理实验教学模式探索

通过对传统大学物理实验教学现状的分析和讨论,针对目前大学物理实验课程的教学模式进行研究,在遵循实验教学自身规律的前提下,构建“模块化”实验课程教学模式,从而改善课程结构,为培养学生解决具体问题的实践能力和创新思维提供针对性的训练;并采用“启发式”“问题式”的教学方法和多样化的考核评价标准,对于不同专业、不同基础、不同背景的学生进行差异化教学,建立以人才培养为核心的科学教学体系,进一步提高大学物理实验课程的教学质量和效果.     

Quantizer–dequantizer operators as a tool for formulating the quantization procedure

We consider the quantization procedure and investigate the application of the quantizer–dequantizer method and star-product technique to construct associative products and the associative algebras formed by the quantizer–dequantizer operators and their symbols. The corresponding Lie algebras are also constructed. We study the case where the quantizer–dequantizer operators form a self-dual system and show that the structure constants of the Lie algebras satisfy some identity, in addition to the Jacobi identity. Using tomographic quantizer–dequantizer operators and their symbols, we construct the continuous associative algebra and the corresponding Lie algebra.