Let A = UP be a polar decomposition of an n×n complex matrix A. Then for every unitarily invariant norm ||| · |||, it is shown that ||| |UP − PU |||| ≤ |||A∗A−AA∗||| ≤ ‖UP + PU‖ |||UP − PU |||, where ‖·‖ denotes the operator norm. This is a quantitative version of the wellknown result that A is normal if and only if UP = PU . Related inequalities involving self-commutators are also obtained.

In this paper a humming method for music information retrieval is presented. The system uses a database with real songs and does not need another type of symbolic representation of them. The system employs an original fingerprint based on chroma vectors to characterize the humming and the references songs. With this fingerprint, it is possible to get the hummed songs without needed of transcrip...

adenoviruses are one of the most important etiological agents of serious gastroenteritis among infants and young children. fecal specimens from patients with an acute gastroenteritis were evaluated for the presence of adenovirus (ad40, 41) from april 2002 to february 2004. during the study, 1052 samples were collected from children under the age of 5 years in six educational and therapeutic ped...

background: metal ions effect on homeostasis of alzheimer’s disease (ad) patients. the aim of this study was to assess the metal ions (iron, zinc and copper) and cbc in patients with ad in comparison with normal range. methods: the samples of study were 17 patients with ad in tehran’s aging centers in 2015, selected as an access sample. blood samples were analyzed in a pathobiology laboratory. ...