‎this paper presents two main results that the singular values of the hadamard product of normal matrices $a_i$ are weakly log-majorized by the singular values of the hadamard product of $|a_{i}|$ and the singular values of the sum of normal matrices $a_i$ are weakly log-majorized by the singular values of the sum of $|a_{i}|$‎. ‎some applications to these inequalities are also given‎. ‎in addi...

Since divorce demolishes the society’s most important social institution, it can be considered as the most important problem. Socialization may play a significant role increasing or decreasing social disorders such as divorce. because socialization agents are somehow different. This research focuses on the effects of socialization on divorce, family and satellite as the most widely influential ...

abstract quantitative investigation of effects of range management treatments on different soil and water components in rangeland ecosystems has been rarely taken into account. in the present research, the kodir summer rangeland in the southeast nowshahr in mazandaran province was selected for studying effects of open grazing and exclosure managements on infiltration, runoff and microrelief. ex...