Solitons on Noncommutative Orbifold T 2/Z N

Following the construction of the projection operators on T ² presented by Gopakumar, Headrick and Spradlin, we construct a set of projection operators on the integral noncommutative orbifold T ²/G(G=Z _N , N=2, 3, 4, 6) which correspond to a set of solitons on T ²/Z _N in noncommutative field theory. In this way, we derive an explicit form of projector on T ²/Z ₆ as an example. We also construct a complete set of projectors on T ²/Z _N by series expansions for integral case.     

拉萨方言语音特征向量的AP聚类分析

为分析拉萨方言语音差异性,通过采集语音样本,获取其语音特征向量,并将特征向量代入AP聚类算法,结果认为拉萨方言语音存在较大的个体差异,可将覆盖率较高聚类簇作为拉萨藏语方言规范语音.运用现代科学定量研究藏语方言语音特征,以较高能量的语音帧作为语音特征量,帧能量比作为语音特征片段的起止点,数据选取上具有一定的代表性,数据代入传统的AP聚类算法,进而分析程序的运算结果,实验过程一定程度上体现了定性与定量相结合的原则,验证了算法的收敛性和鲁棒性.