Let S = K[x1, . . . , xn], let A, B be finitely generated graded S-modules, and let m = (x1, . . . , xn) ⊂ S. We give bounds for the regularity of the local cohomology of Tork (A, B) in terms of the graded Betti numbers of A and B, under the assumption that dim Tor1 (A, B) ≤ 1. We apply the results to syzygies, Gröbner bases, products and powers of ideals, and to the relationship of the Rees an...

16Comments and Opinions Body Weight After Stroke Lessons From the Obesity Paradox Nadja Scherbakov, MD; Ulrich Dirnagl, MD; Wolfram Doehner, MD, PhD (Stroke. 2011;42:3646-3650.)

Abstract We use a correspondence between Ulrich bundles on projective variety and quiver representations to prove that certain del Pezzo surfaces satisfy the trichotomy, for any given polarization.

the aim of this study was to investigate the effect of basic swimming skills training on gross motor skills in male autistic children (7-11 years old). for this purpose, 20 autistic children (mean + sd age: 10.3±1.05 yr and bmi: 18.9±1.76 kg/m2) were randomly divided into two groups of experimental and control (each group 10 subjects). the training protocol of the experimental group was impleme...