Detection and construction of an elliptic solution to the complex cubic-quintic Ginzburg-Landau equation

In evolution equations for a complex amplitude, the phase obeys a much more intricate equation than the amplitude. Nevertheless, general methods should be applicable to both variables. On the example of the traveling wave reduction of the complex cubic-quintic Ginzburg-Landau equation (CGL5), we explain how to overcome the difficulties arising in two such methods: (i) the criterium that the sum of residues of an elliptic solution should be zero, (ii) the construction of a first order differential equation admitting the given equation as a differential consequence (subequation method).Comment: 12 pages, no figure, to appear, Theoretical and Mathematical Physic

Congregational Conflict and Community

A book review is presented for Congregational Conflict and Community, by Jonathan Dueck. Congregational Music Studies Series. Abingdon, Oxon., and New York, NY: Routledge, 2017. 198 pp. ISBN: 978-1-472-47226-7

Towards a public analysis database for LHC new physics searches using MadAnalysis 5

We present the implementation, in the MadAnalysis 5 framework, of several ATLAS and CMS searches for supersymmetry in data recorded during the first run of the LHC. We provide extensive details on the validation of our implementations and propose to create a public analysis database within this framework.Comment: 20 pages, 15 figures, 5 recast codes; version accepted by EPJC (Dec 22, 2014) including a new section with guidelines for the experimental collaborations as well as for potential contributors to the PAD; complementary information can be found at http://madanalysis.irmp.ucl.ac.be/wiki/PhysicsAnalysisDatabas

Workshop Development and Delivery

At Purdue University, the central IT organization (Information Technology at Purdue) is charged with helping instructors (Faculty, staff, and graduate students) use technology to enhance teaching and learning. Our group develops workshops (face-to-face and online)) and documentation (written, video, etc.) to assist in this effort. This presentation describes The Facilitator Maturation Process - the steps our facilitators must take to go from a new hire to an independently deploy-able trainer Recent steps we took to redesign our workshops to make them more engaging and instill active learning techniques in their delivery. The documentation creation process/workflow we instituted to streamline and insure timely completion of newly created and revised documents The supplemental video we have created so non-attendees can work through our documentation on their own time and pace, or attendees can review the material delivered in clas

Imagine, Drawing, Representation. Representation of the Project

Today the teaching of drawing is required to following a framework in fast and continuing development that requires both speed and flexibility to adapt contents and organization. The new aesthetic values in the representation of the project come with the need to develop new techniques consistent with digital tools. This paper aims to present a recent experience that was conducted at Scuola del design of Politecnico di Milano with students of the first year of the course "Strumenti e Metodi del progetto" of the Degree program in Design degli Interni, developed from a short workshop with a group of Chinese students and focused on representing the image of the city. The workshop provides the opportunity to familiarize with editing-photo software. The students experimented with “digital collage” as a graphical technique consistent with the fragmentation, which in some cases is contradictory, of urban imagery, in order to develop three-dimensional expression forms, a booth, to be inserted into the real cit

Completeness of the cubic and quartic H\'enon-Heiles Hamiltonians

The quartic H\'enon-Heiles Hamiltonian $H = (P_1^2+P_2^2)/2+(\Omega_1 Q_1^2+\Omega_2 Q_2^2)/2 +C Q_1^4+ B Q_1^2 Q_2^2 + A Q_2^4 +(1/2)(\alpha/Q_1^2+\beta/Q_2^2) - \gamma Q_1$ passes the Painlev\'e test for only four sets of values of the constants. Only one of these, identical to the traveling wave reduction of the Manakov system, has been explicitly integrated (Wojciechowski, 1985), while the three others are not yet integrated in the generic case $(\alpha,\beta,\gamma)\not=(0,0,0)$. We integrate them by building a birational transformation to two fourth order first degree equations in the classification (Cosgrove, 2000) of such polynomial equations which possess the Painlev\'e property. This transformation involves the stationary reduction of various partial differential equations (PDEs). The result is the same as for the three cubic H\'enon-Heiles Hamiltonians, namely, in all four quartic cases, a general solution which is meromorphic and hyperelliptic with genus two. As a consequence, no additional autonomous term can be added to either the cubic or the quartic Hamiltonians without destroying the Painlev\'e integrability (completeness property).Comment: 10 pages, To appear, Theor.Math.Phys. Gallipoli, 34 June--3 July 200

Meromorphic traveling wave solutions of the complex cubic-quintic Ginzburg-Landau equation

We look for singlevalued solutions of the squared modulus M of the traveling wave reduction of the complex cubic-quintic Ginzburg-Landau equation. Using Clunie's lemma, we first prove that any meromorphic solution M is necessarily elliptic or degenerate elliptic. We then give the two canonical decompositions of the new elliptic solution recently obtained by the subequation method.Comment: 14 pages, no figure, to appear, Acta Applicandae Mathematica

Analysis of Shellfish Growing Areas of Alabama, Florida and Georgia, USA - Using the Pearl Shellfish Sanitation Model

According to the United States (U.S.), National Shellfish Sanitation Program (NSSP) standards, the shellfish growing areas in modeling, shellfish sanitation, water quality, shellfish closure rules the U.S. must be closed for harvest when the estimated 90th percentile of fecal coliform concentrations exceeds the NSSP limit of 14/43 Most Probable Number/100 mL (NSSP, 2009, NSSP, 2011). Pearl is a model that identifies harvest areas at risk for fecal coliform contamination (Conte and Ahmadi, 2012). Once the risk areas are identified, the Aquarius model can be used to adjust closure rules (Conte and Ahmadi, 2011). In multi-state analyses using the Pearl model, we have developed a hypothesis that state agencies are inadvertently applying the model's Pearl Limit of 8/26 MPN/100 mL in place of the NSSP limit of 14/43 MPN/100 mL for a 5-tube test to guard against shellfish-related illnesses (Conte and Ahmadi, 2012; 2013; 2014). The datasets used to develop the hypothesis were from Oakland Bay, Washington (Pacific Northwest), Arcata Bay, California (Pacific Northern California), and seven shellfish bays of the Texas Gulf Coast (Western Gulf of Mexico). The main purpose of this paper is to test this hypothesis using different datasets from shellfish growing areas in the states of Alabama (Eastern Gulf of Mexico), Florida (Eastern Gulf of Mexico and south Atlantic Coast) and Georgia (South Atlantic Coast), all located in the southeastern United States. An additional objective is to use the state’s datasets in Pearl analyses to detect the shellfish growing areas that pose a possible health risk to shellfish consumers during some period