My purpose here is to, once and for all, rid the world of the misconception that a pixel is a little geometric square. This is not a religious issue. This is an issue that strikes right at the root of correct image (sprite) computing and the ability to correctly integrate (converge) the discrete and the continuous. The little square model is simply incorrect. It harms. It gets in the way. If yo...

at 17 years. The insensible perspiration for these girls per kilogram of body weight per hour was as follows: 0.72 gram at 13 years, 0.71 gram at 14 years, and 0.77 gram at 15 years. The respiratory quotients of groups of 12 girls each, about 7 to 8 hours after a light meal, were 0.81, 0.81, 0.78, and 0.79. The basal heat production per kilogram of body weight per 24 hours decreases regularly w...

background: sulfatase 1 ( sulf1 ) function is to remove the 6-o-sulphate group from heparan sulfate. this action changes the binding sites of extracellular growth factors. sulf1 expression has been reported to be changed in angiogenesis. we hypothesized that single nucleotide polymorphisms (snps) of sulf1 would impact clinicopathologic characteristics. objective: study of sulf1 gene polymorphis...

In this paper, we prove that the degree of regularity of the family of Square systems, an HFE type of systems, over a prime finite field of odd characteristics q is exactly q, and therefore prove that • inverting Square systems algebraically is exponential, when q = O(n), where n is the number of variables of the system.

The purpose of this note is to give an exposition of the best-known bound on the density of sets whose difference set contains no squares which was first derived by Pintz, Steiger and Szemerédi in [PSS88]. We show how their method can be brought in line with the modern view of the energy increment strategy employed in problems such as Szemerédi’s Theorem on arithmetic progressions, and explore ...