A real square matrix satisfies the weak Hawkins-Simon condition if its leading principal minors are positive (the condition was first studied by the French mathematician Maurice Potron). Three characterizations are given. Simple sufficient conditions ensure that the condition holds after a suitable reordering of columns. A full characterization of this set of matrices should take into account t...

BACKGROUND The Edward O. Hawkins and Thomas C. Slater Medical Marijuana Act1 (“Hawkins-Slater”– Rhode Island General Laws 21-28.6-1) became law in 2005. Regulations2 were promulgated initially in July of 2006. The legislative findings3 incorporated in Hawkins-Slater assert that modern medical research recognizes beneficial uses for marijuana, including the treatment of pain, nausea and other de...

We establish an asymptotic formula for the number of k-difference twin primes associated with the Hawkins random sieve, which is a probabilistic model of the Eratosthenes sieve. The formula for k = 1 was obtained by Wunderlich [Acta Arith. 26 (1974), 59 81]. We here extend this to k ≥ 2 and generalize it to all l-tuples of Hawkins primes.

There is increasing evidence to suggest that the neocortex of the mammalian brain does not consist of a collection of specialised and dedicated cortical architectures, but instead possesses a fairly uniform, hierarchically organised structure. As Mountcastle has observed [1], this uniformity implies that the same general computational processes are performed across the entire neocortex, even th...

Ischemic bone necrosis following talar fractures is a problematic complication and its early diagnosis is important. Patients with Hawkins Type II and III talar fractures received internal fixation using titanium alloy screws, and chronological bone changes were observed with Magnetic Resonance Imaging (MRI). With the Type II patient, Hawkins' sign was radiographically confirmed 2 months after ...