we derive the formulas of the maximal andminimal ranks of four real matrices $x_{1},x_{2},x_{3}$ and $x_{4}$in common solution $x=x_{1}+x_{2}i+x_{3}j+x_{4}k$ to quaternionmatrix equations $a_{1}x=c_{1},xb_{2}=c_{2},a_{3}xb_{3}=c_{3}$. asapplications, we establish necessary and sufficient conditions forthe existence of the common real and complex solutions to the matrixequations. we give the exp...

evidence acquisition a systematic literature searching of databases medline, embase, and google scholar was done from 1982 and updated in december 2015. search terms were “cholecystectomy”, “laparoscopic cholecystectomy”, “four port laparoscopic cholecystectomy”, “single-incision laparoscopic surgery”. context laparoscopic approach with its several techniques has become the standard method for ...

Changes in human brain activity associated with repetition priming during word generation were characterized across a series of neuroimaging and behavioural studies. Repetition priming was consistently observed behaviourally as a decrease in response latency for repeated items, and was found for both visually and aurally cued word-generation tasks. Brain imaging using whole-brain functional MRI...

The characteristic parameters Kw and Rw of a word w over a finite alphabet are defined as follows: Kw is the minimal natural number such that w has no repeated suffix of length Kw and Rw is the minimal natural number such that w has no right special factor of length Rw. In a previous paper, published on this journal, we have studied the distributions of these parameters, as well as the distribu...

no doupt that the qur'anic expression contains secrets and aesthetics and artistic touches and images which show that the quran art intended to support this opinion that it isn’t people speech. so, this research is going to study sura «sad» using a stylistic approach, which focuses on data general linguistic and deals with the role of image and music sounds  and vocabularies in  sura, and ...