The problem of completing partial latin squares to latin squares of the same order has been studied for many years. For instance, in 1960 Evans [9] conjectured that every partial latin square of order n containing at most n− 1 filled cells is completable to a latin square of order n. This conjecture was shown to be true by Lindner [12] and Smetaniuk [13]. Recently, Bryant and Rodger [6] establi...

Frankl and F uredi established that the largest number of 3-subsets of an n-set for which no four distinct sets A; B; C; D satisfy A B = C D is at most b n(n?1) 3 c. Chee, Colbourn, and Ling established that this upper bound is met, with few exceptions, when n 0; 1 (mod 3). In this paper, it is established that the upper bound is also met with few exceptions when n 2 (mod 3).

rayleigh-taylor (rt) instability has a growing importance in many fields including aircraft industry and astrophysics. the development and the growth of rt instability were investigated using sinusoidal disturbances with different wavelength at the interface of two fluids. numerical simulations were performed by solving navier-stokes unsteady equations with the vof formulation. results of the 2...

Article history: Received 19 October 2007 Available online 16 April 2008 Communicated by Charles J. Colbourn

objective: isolated visual hallucinations is considered as the charles bonnet syndrome. ophtalmic or brain organic disease is a necessary or exclusionary criterion for diagnosis. in previous reports, it reported only solitary hallucination. in this report, we found multiple hallucinations. case presentation: in this article we report a 64 year-old blind man with renal failure under hemodialysis...