Black-Scholes Equation and Heat Equation

First, we present and define the Black-Scholes equation which is used to model assets on the stock market. After that, we derive the heat equation that describes how the temperature increases through a homogeneous material. Finally, we detail how the two equations are related. We introduce and relate the Black-Scholes equation and Heat Equation

Heritage Matters- Fall 2009

Heritage Matters: News of the Nation\u27s Diverse Cultural Heritage In this issue: The Resurrection of St.Matthew School List of Federally Recognized Tribal Historic Preservation Officers NAGRPRA Celebrates 15 Years of Grants with Retrospective Publication National Register Nominations Seeing Things for What Could Be: Preservation and Revitalization in Gary, Indian

Heritage Matters- Fall 2009

Heritage Matters: News of the Nation\u27s Diverse Cultural Heritage In this issue: The Resurrection of St.Matthew School List of Federally Recognized Tribal Historic Preservation Officers NAGRPRA Celebrates 15 Years of Grants with Retrospective Publication National Register Nominations Seeing Things for What Could Be: Preservation and Revitalization in Gary, Indian

Tracking Vector Magnetograms with the Magnetic Induction Equation

The differential affine velocity estimator (DAVE) developed in Schuck (2006) for estimating velocities from line-of-sight magnetograms is modified to directly incorporate horizontal magnetic fields to produce a differential affine velocity estimator for vector magnetograms (DAVE4VM). The DAVE4VM's performance is demonstrated on the synthetic data from the anelastic pseudospectral ANMHD simulations that were used in the recent comparison of velocity inversion techniques by Welsch (2007). The DAVE4VM predicts roughly 95% of the helicity rate and 75% of the power transmitted through the simulation slice. Inter-comparison between DAVE4VM and DAVE and further analysis of the DAVE method demonstrates that line-of-sight tracking methods capture the shearing motion of magnetic footpoints but are insensitive to flux emergence -- the velocities determined from line-of-sight methods are more consistent with horizontal plasma velocities than with flux transport velocities. These results suggest that previous studies that rely on velocities determined from line-of-sight methods such as the DAVE or local correlation tracking may substantially misrepresent the total helicity rates and power through the photosphere.Comment: 30 pages, 13 figure

Outcomes of Extravesical Versus Intravesical Ureteral Reimplantation

Purpose: The purpose of our study was to examine outcomes and compare length of stay after extravesical and intravesical ureteral reimplantation at our institution. Materials and Methods: Retrospective review was performed of 30 patients (55 ureters) with vesicoureteral reflux who underwent either the Cohen (intravesical) cross-trigonal procedure or the extravesical (detrusorrhaphy) approach. Each patient had documented follow-up consisting of a postoperative renal ultrasound and/or a voiding cystourethrogram (VCUG). Inclusion criteria was the presence of primary vesicoureteral reflux. Exclusion criteria were patients who had undergone a previous repair and patients in whom results of neither the renal ultrasound nor the VCUG were available. Results: There were no significant cases of obstruction or wound infection with either approach. Two patients who underwent the extravesical approach had persistent reflux on VCUG three months postoperatively, but both resolved by fifteen months. Average length of stay was only 3.00 ± 1.33 days for the extravesical approach, compared to 5.36 ± 1.75 days for the intravesical approach ( P = .0003 ). Conclusions: Given that by fifteen months success rates were the same with either approach, the extravesical approach is comparable to the intravesical technique and is a viable option in terms of outcome and economics given the shorter length of hospital stay

The unique chemistry of Eastern Mediterranean water masses selects for distinct microbial communities by depth

Peer reviewedPublisher PD

CHEMICAL CONTROL OF DEPREDATING BLACKBIRDS IN ONTARIO FIELD CORN

Corn depredation by red·winged blackbirds (Agelaius phoeniceus) has been an agricultural problem in southwestern Ontario for many years. Large marsh areas along the shoreline of Lakes Erie and St. Clair provide ideal habitat for breeding and roosting. Concurrently, the vast monocultural field corn acreages in Kent and Essex Counties have over the years been the centers for blackbird depredation in the province. The expansion of corn production into other areas of Ontario has, however, resulted in a province·wide distribution of damage, and substantial crop losses for specific individual farmers (Tyler and Kannenberg, 1980). The Ontario Ministry of the Environment (OME) provided funding for a four·year research program on the importance, ecology and control of blackbirds in 1976 following mounting concern by Ontario corn producers. Dyer (1968) completed a major study on red-winged blackbirds in Dover Township, Kent County during the period 1964-68; however, the evaluation of 4-AP efficacy was a minor component of the project (Dyer, 1976). Thus, the OME required efficacy data on 4-AP for current Ontario conditions for registration purposes, regardless of the 1972 registration in the U.S.A. Methiocarb (3,5-dimethyl-4(methylthio) phenol methylcarbamate) (Mesurol®, Mobay Chemical Corp.) was also a candidate compound because of the known taste aversion properties (Rcigers, 1974; Crase and Dehaven, 1976). Again, the OME required data on the efficacy of methiocarb as a bird repellent in ripening field corn. Research on the potential for lethal roost control was an initial objective; however, this component of chemical control was not pursued. Conversely, lethal control at foraging sites was not an initial objective, however, ecological studies completed (Somers et aI., 1981b) suggested that the use of toxicants in a corn field may have potential. Pilot studies using Starlicide® (Ralston-Purina Co.) and a-chloralose at foraging sites were completed to evaluate this hypothesis