The Commercial Music Industry in Atlanta and the State of Georgia: An Economic Impact Study

This study was prepared to ascertain the magnitude of the commercial music industry's economic impact on Atlanta and its surrounding areas. Report #8

Comments on lattice gauge theories with infrared-attractive fixed points

Theories of interacting gauge fields and fermions can possess a running gauge coupling with an infrared attractive fixed point (IRFP). We present a minimal description of the physics of these systems and comment on some simple expectations for results from lattice simulations done within the basin of attraction of the IRFP in these theories.Comment: 10 pages, 2 figures. Published version, fixed typos in version

Fault reactivation by fluid injection: Controls from stress state and injection rate

We studied the influence of stress state and fluid injection rate on the reactivation of faults. We conducted experiments on a saw-cut Westerly granite sample under triaxial stress conditions. Fault reactivation was triggered by injecting fluids through a borehole directly connected to the fault. Our results show that the peak fluid pressure at the borehole leading to reactivation depends on injection rate. The higher the injection rate, the higher the peak fluid pressure allowing fault reactivation. Elastic wave velocity measurements along fault strike highlight that high injection rates induce significant fluid pressure heterogeneities, which explains that the onset of fault reactivation is not determined by a conventional Coulomb law and effective stress principle, but rather by a nonlocal rupture initiation criterion. Our results demonstrate that increasing the injection rate enhances the transition from drained to undrained conditions, where local but intense fluid pressures perturbations can reactivate large faults

Polynomiality for Bin Packing with a Constant Number of Item Types

We consider the bin packing problem with d different item sizes s_i and item multiplicities a_i, where all numbers are given in binary encoding. This problem formulation is also known as the 1-dimensional cutting stock problem. In this work, we provide an algorithm which, for constant d, solves bin packing in polynomial time. This was an open problem for all d >= 3. In fact, for constant d our algorithm solves the following problem in polynomial time: given two d-dimensional polytopes P and Q, find the smallest number of integer points in P whose sum lies in Q. Our approach also applies to high multiplicity scheduling problems in which the number of copies of each job type is given in binary encoding and each type comes with certain parameters such as release dates, processing times and deadlines. We show that a variety of high multiplicity scheduling problems can be solved in polynomial time if the number of job types is constant

Quantitative morphology of renal cortical structures during compensatory hypertrophy

The compensatory hypertrophy in different renal cortical structures was studied in rats 10 and 21 days after unilateral nephrectomy (UNX). Quantitative morphological/stereological analysis revealed significant increases in total renal cortical volume - 33% on day 10 and 48% on day 21 - after UNX. These changes were paralleled by significant increments in the volumes of proximal convoluted tubule (PCT, 55%), distal convoluted tubule (DCT, 114%), and cortical collecting duct (CCD, 106%) segments on day 10. The corresponding changes on day 21 were 76, 122, and 212%, respectively. These alterations were accompanied by increases in segment length; 3% PCT, 23% DCT, and 50% CCD on day 10 and 9% PCT, 30% DCT, and 142% CCD on day 21 after UNX. The total luminal and basolateral cell membrane surface areas also exhibited a time-dependent increase after UNX. The increments in both luminal and basolateral membrane domains in PCT and DCT after 10 days were not significant, but reached significance after 21 days (PCT: luminal membrane 21%, basolateral membrane 63%; DCT: luminal membrane 98%, basolateral membrane 63%). In contrast, CCD membrane areas had increased substantially already 10 days after UNX (luminal membrane 92%, basolateral membrane 71%). It declined subsequently by day 21 (luminal membrane 57%, basolateral membrane 32%). The cell rubidium concentration after a 30-second rubidium infusion, an index of Na-K-ATPase activity, as well as sodium concentrations were unaltered in cells of all nephron segments investigated. Altogether the stereological analysis shows that the compensatory increase in organ volume can be attributed primarily to an increase in nephron epithelial volume. The PCT responds with `radial' hypertrophy (thickening of the tubular epithelial wall), while the DCT undergoes `length' hypertrophy (increase of tubular length without thickening of the tubular wall and without an increase in number of cells). This type of hypertrophy is especially prominent on day 21 after UNX for the CCD which doubles in length. Only on day 10 does the CCD seem to respond with hyperplasia. Adaptive changes in response to UNX develop gradually. Only a few of the morphological parameters studied had completed their change by 10 days, the majority required longer