Let A={A_1, A_2,…, A_(n+1)} be a simplex in E^n which its center O of circumscribed sphere is in inside of A. If R and R_i are radiuses of A_i respectively (A_i={A_1, A_2,…, A_(i-1), O, A_(i+1),…,A_(n+1)} ,i=1,2,…...Let A={A_1, A_2,…, A_(n+1)} be a simplex in E^n which its center O of circumscribed sphere is in inside of A. If R and R_i are radiuses of A_i respectively (A_i={A_1, A_2,…, A_(i-1), O, A_(i+1),…,A_(n+1)} ,i=1,2,…,n+1),then we have The equality holds if and only if A is a regular simplex.展开更多
在介绍 L DPC (L ow Density Parity Code)低密度校验码的基本原理的基础上 ,针对任意离散无记忆信道的传输 ,从两个方面对其结构进行了改进。这种改进的 L DPC码是定义在有限域 GF(q)上的非正则 L DPC码 ,较之正则 L DPC码具有更好的...在介绍 L DPC (L ow Density Parity Code)低密度校验码的基本原理的基础上 ,针对任意离散无记忆信道的传输 ,从两个方面对其结构进行了改进。这种改进的 L DPC码是定义在有限域 GF(q)上的非正则 L DPC码 ,较之正则 L DPC码具有更好的性能。采用改进的非正则 L DPC码 ,经过最大似然概率译码 ,能够实现以任意逼近任何离散无记忆信道容量的速率的可靠通信。同时 ,讨论了对应于这种码结构的实际的迭代译码方法 ,并简单介绍了这种改进的非正则 L DPC码在OFDM系统、压缩图像传输等方面的应用。展开更多
The purpose of this paper is to study the following two questions on AP-injective rings: (1) R is a regular ring if and only if R is a left PP-ring and R is left AP-injective; (2) Let R be a right .AP-injective ring. ...The purpose of this paper is to study the following two questions on AP-injective rings: (1) R is a regular ring if and only if R is a left PP-ring and R is left AP-injective; (2) Let R be a right .AP-injective ring. Then R is self-injective if and only if R is weakly injective. Hence we get some new results of P-injective rings.展开更多
文摘Let A={A_1, A_2,…, A_(n+1)} be a simplex in E^n which its center O of circumscribed sphere is in inside of A. If R and R_i are radiuses of A_i respectively (A_i={A_1, A_2,…, A_(i-1), O, A_(i+1),…,A_(n+1)} ,i=1,2,…,n+1),then we have The equality holds if and only if A is a regular simplex.
文摘在介绍 L DPC (L ow Density Parity Code)低密度校验码的基本原理的基础上 ,针对任意离散无记忆信道的传输 ,从两个方面对其结构进行了改进。这种改进的 L DPC码是定义在有限域 GF(q)上的非正则 L DPC码 ,较之正则 L DPC码具有更好的性能。采用改进的非正则 L DPC码 ,经过最大似然概率译码 ,能够实现以任意逼近任何离散无记忆信道容量的速率的可靠通信。同时 ,讨论了对应于这种码结构的实际的迭代译码方法 ,并简单介绍了这种改进的非正则 L DPC码在OFDM系统、压缩图像传输等方面的应用。
基金Supported by the NNSF of China(10071035)the Foundation of the Education Committee of Anhui Province(2003kj166).
文摘The purpose of this paper is to study the following two questions on AP-injective rings: (1) R is a regular ring if and only if R is a left PP-ring and R is left AP-injective; (2) Let R be a right .AP-injective ring. Then R is self-injective if and only if R is weakly injective. Hence we get some new results of P-injective rings.
