This brief survey deals with multi-dimensional Diophantine approximations in sense of linear form and with simultaneous Diophantine approximations. We discuss the phenomenon of degenerate dimension of linear sub-spaces generated by the best Diophantine approximations. Originally most of these results have been established by the author in [14, 15, 16, 17, 18]. Here we collect all of them togeth...

Background: Formaldehyde (FA) is a member of aldehyde family with a simplest organic molecule, used in various industries. Since there is simultaneous exposure of formaldehyde and noise for workers in most of the workplaces and that noise can reinforce the harmful effects of some chemical pollutants. This study aimed to investigate the effects of simultaneous formaldehyde and noise exposure on ...

in this paper, the problem of simultaneous shape and size optimization of single-layer barrel vault frames which contains both of discrete and continuous variables is addressed. in this method, the improved magnetic charged system search (imcss) is utilized as the optimization algorithm and the open application programming interface (oapi) plays the role of interfacing analysis software with th...

simultaneous a collision tumor of stomach consisting of adenocarcinoma and gastrointestinal stromal tumor (gist) is very rare based on our knowledge. this coexistence has rarely been reported in literatures. we report a case of 64-year-old woman who has diagnosed with prepyloric poorly-differentiated diffuse signet-ring cell type adenocarcinoma and has undergone an elective d2 total gastrectomy...

most of the methods that have been proposed for speed estimation of induction machines require the rotor and the stator resistance to change in the normal operating range. on the other hand, estimation of the rotor resistance requires rotor speed. in this paper, after studying conditions for simultaneous estimation of rotor speed and rotor resistance, a method for simultaneous estimation of rot...

In this note we study the problem of simultaneous stabilization for the algebra AR(D). Invertible pairs (fj , gj), j = 1, . . . , n, in a commutative unital algebra are called simultaneously stabilizable if there exists a pair (α, β) of elements such that αfj + βgj is invertible in this algebra for j = 1, . . . , n. For n = 2, the simultaneous stabilization problem admits a positive solution fo...

one of the most important extensions of the capacitated vehicle routing problem (cvrp) is the vehicle routing problem with simultaneous pickup and delivery (vrpspd) where customers require simultaneous delivery and pick-up service. in this paper, we propose an effective ant colony optimization (eaco) which includes insert, swap and 2-opt moves for solving vrpspd that is different with common an...

purpose: to report and review a rare variant of duane's syndrome named synergistic divergence and its surgical results. patient and findings: a 16-year-old girl presented with left face turn and reduced vision in both eyes. best corrected vision was od: 3/10 and os: 10/10. there was severe adduction deficiency of the re with simultaneous abduction of the re in left gaze. she had xt= 35 in ...