161. Modern Group Analysis Conference The Tenth International Conference in MOdern GRoup analysis. Applications of group methods tog Nonlinear wave and diffusion phenomena, mathematical models in biology and Integrable systems. Larnaca, Cyprus; 2431 October 2004. http://www.ucy.ac.cy/~mogran10/

The Tenth International Conference In MOdern GRoup ANalysis (MOGRAN X) Larnaca, Cyprus 24-31 October, 2004 If this page does not change automatically in few seconds click here to go to the conference site

162. Elliott Lieb Professor of Mathematics and Physics, Princeton University. mathematical Physics, Functional analysis, Condensed Matter Physics. http://www.math.princeton.edu/~lieb

Elliott H. Lieb Professor of Mathematics and Physics Princeton University Jadwin Hall P.O. Box 708 Princeton, NJ 08544-0708 Phone: (609) 258-4420 Fax: (609) 258-6360 Email: lieb at princeton dot edu Office: 333 Jadwin Hall Research interests: Mathematical Physics, Functional Analysis, Condensed Matter Physics Publications Curriculum Vitae Last updated: April, 2001

163. Centre For Mathematical Biology Centre for mathematical Biology. Research Interests Spatial and spatiotemporal pattern formation; Wound healing; mathematical Modelling to Improve Cancer Therapy; analysis of travelling waves and ecological applications; Enzyme kinetics; Individual to Collective Behaviour in Ecology; The dynamics of populations in ecological systems. Site has preprints, meetings, other links. http://www.maths.ox.ac.uk/cmb/

Enquiries: +44 (0) 1865 273518 Fax: +44 (0) 1865 273583 The Centre for Mathematical Biology (CMB) at the University of Oxford is part of the Mathematical Institute and was established in 1983 as the first centre of its kind in Britain, under the directorship of Professor James D. Murray , FRS, designed specifically to foster interdisciplinary research in the area. Since 1992, the CMB has been under the leadership of Professor Philip K. Maini Please follow the links in the navigation panel to find out more about us. Webpage last updated 9th January 2004 by S.Jolliffe Home Research People ... Contact Us This website was designed by C.Bampfylde and site content written by S.Schnell Comments and suggestions on this site to S.Jolliffe

164. SPT S.A. ----------------------------------------------- Mud logging, formation evaluation, applied geochemistry, reservoir management, basin analysismathematical modeling, information management systems. http://www.sptsa.com.ar/

SP T S.A. Synergic Petroleum Technologies CLIENT LOGIN / INGRESO PARA CLIENTES User Name / Usuario: Password / Clave: ENTER ENTRAR Service/ Servicios Technology Solutions/ Soluciones Reliability/ Confiabilidad Quality/ Calidad

165. :David-Wynn: Miller, :LANGUAGE-CLAIMS: HOME-PAGE Seeks to demonstrate the application of a mathematical quantum language format for English through the analysis of certain legal documents. http://dwmlc.com/

FOR THE BEST-VIEWING OF THIS WEB-SITE IS WITH THE INTERNET-EXPLORER-5.01+ WITH THE RESOLUTION OF THE 800x600. :Title~4: Section~1-3: Copyclaim~2002 :CLICK-ANYWHERE FOR THE MENU :FIRST-TIME-STUDENTS FOR THIS JUDGE: David-Wynn: Miller WITH THIS KNOWLEDGE OF THESE TRUTH-LANGUAGE/COMMUNICATION-CLAIMS IS WITH THIS CLAIM OF THESE LANGUAGE AND COMMUNICATION-METHODS WITH THESE MATHEMATICAL-QUANTUM-NOW-TIME AND FACTS. FOR THESE EDUCATIONAL-CORRECTIONS OF THESE MODIFYING-LANGUAGES AND COMMUNICATIONS ARE WITH THE CLAIM OF THE ADVERB-USE PROCEDURAL-METHODS OF THE FICTION-COMMUNICATIONS ) WITH THE NOUN FOR THE CREATION OF A WORD THAT IS VOID OF ANY MEANING BY THE FICTION-SIMULATION-PERSON FOR THESE CORRECTIONS BY THESE TRUTHFUL-LANGUAGE AND COMMUNICATIONAL-METHODS ARE WITH THESE PEOPLE OF THESE UNITY-STATES OF OUR WORLD-CORPORATION FOR THESE CHARTER-VESSEL-CITIZEN'S-KNOWLEDGE OF THESE COMMUNICATION AND LANGUAGE-METHODS ARE WITH THESE OUTLINES AND TERMS OF THIS TRUTH-LANGUAGE-CLAIM-STUDY-GUIDE ON THIS WEBSITE. FOR THE [NOUN] CORRECTION: KNOWN LANGUAGES AND COMMUNICATIONS ARE WITH THESE KNOWN = FACTS BY THESE TRUTHFUL-LANGUAGE AND COMMUNICATIONS-METHODS WITH THIS CLAIM OF THE KNOWN-NOW-TIME-JURISDICTIONAL-TRUTH-LANGUAGE AND COMMUNICATIONS.

166. The MPSGE Modeling Framework (mathematical Programming System for General Equilibrium analysis) describes the GAMS subsystem for CGEmodeling developed by Thomas Rutherford. Introduction, material for self-study, papers and downloadable library of examples. http://www.gams.com/solvers/mpsge/index.htm

Home Support Sales Solvers ... Contact Us MPSGE Models in GAMS What is MPSGE MPSGE is a mathematical programming system for general equilibrium analysis which operates as a subsystem within GAMS MPSGE is essentially a library of function and Jacobian evaluation routines which facilitates the formulation and analysis of AGE models. MPSGE simplifies the modelling process and makes AGE modelling accessible to any economist who is interested in the application of these models. In addition to solving specific modelling problems, the system serves a didactic role as a structured framework in which to think about general equilibrium systems. How does one learn about how to use MPSGE? There does not exist a comprehensive users guide/manual for the software at this point in time, however there are a number of papers which describe the software or its applications. Here are some of the resources provided on this web site: GAMS/MPSGE : The Modeling Framework and Syntax An Introduction to Demand Theory through MPSGE ... MPSGE Web pages which I plan to write at some point include: Modeling Small Open Economies Static Multiregional Models MPSGE Models of Environmental Tax Reform MPSGE Models with IRTS and Imperfect Competition How to Implement Intertemporal Models with GAMS/MPSGE Building MPSGE Models with GTAP Data

167. Morrison Scientific Inc. Specializes in risk analysis using mathematical and statistical tools to solve pipeline integrity problems. Features a list of services, technical papers and a newsletter. Based in Calgary, Alberta, Canada. http://www.morrisonscientific.com/

168. Logic At Leeds - Homepage mathematical Logic Group. Research areas recursion theory, model theory, set theory and foundations, proof theory, and in applications to algebra, analysis and theoretical computer science. Members, events, seminars. http://www.amsta.leeds.ac.uk/Pure/logic/

People Research Seminars Postgrad opportunities Pure Department School of Mathematics University of Leeds Some outside links The Leeds Logic Group The group is one of the largest and most active in Europe, with an international reputation for research in several of the main areas of mathematical logic - computability theory, model theory, set theory and foundations, proof theory, and in applications to algebra, analysis and theoretical computer science. The group has been very successful in obtaining EPSRC and EU support for Research Students and Post-Doctoral Fellows, and has been the focus of extensive international collaboration via various research projects and networks in proof theory, computability theory and model theory. Our past postgraduates and researchers have been very successful in moving to research or teaching positions in Mathematics and Computer Science departments around the world. Further details of individual staff's research interests can be found on their homepages, accessed via the links on the left. Applications to visit or to pursue research within the Leeds Logic Group are always welcome. Please contact our postgraduate tutor, Prof. Dugald Macpherson for more information: NEWS The British Logic Colloquium 2004 , will be at the University of Leeds, September 6 - 8.

169. CEANET - Software For Advancing Technology. mathematical and advanced graphical tools for data analysis, visualisation, simulation and algorithm and application development. http://www.ceanet.com.au/

Free Technical Kits Events On-line Seminars User Stories ... About Us Products Training Support Consulting Training via public courses, private tuition, web, and books to help you work faster, smarter and to your maximum potential. Immediate expert assistance for products and access to further assistance. Ceanet offers over 30 years experience as a leading supplier of technical and Six Sigma consulting. New Release! VHS-ADC Card from Lyrtech FREE MATLAB and Simulink New Release seminars! Maplesoft announces the arrival of Maple 9.5 The New DSP / FPGA Platform You Were Waiting For! ... Subscribe/Un-subscribe

170. PHI, The Golden Ratio Provides a definition of Phi, and explains some mathematical background as well as a listing of 1000 digits of the number. http://astronomy.swin.edu.au/pbourke/analysis/phi/

PHI, the golden ratio (Also known as the golden mean Written by Paul Bourke May 1990, Updated January 1995 Definition Break a line segment into two such that the ratio of the whole to the longest segment is the same as the ratio of the two segments. From the diagram below. The condition can expressed as a/b = 1/a. This can be rearranged and expressed as a quadratic. There are two solutions, phi-1 and -phi where This is the original Greek definition, often phi-1 is used instead. Solution of a quadratic Normally the quadratic for which phi is the quoted solution is The solutions being phi and phi-1 Relationships phi x+1 = phi x + phi x-1 Continued fractions phi = phi = sqrt(1 + sqrt(1 + sqrt(1 + sqrt(1 + .....)))) Relationship to the Fibonnaci series Consider the first order Fibonnaci series x , x , x ..... x i ..... where x i = x i-1 + x i-2 The ratio This tends to phi as i tends to infinity. That is, the ratio of consecutive terms in such a series approaches phi, this is true independent of the starting points of the series. The zero order series starts with 1 and 1 as below. 1 1 2 3 5 8 13 21 34 55 89 etc the ratio of consecutive pairs are 1 0.5 0.67 0.6 0.625 0.6154 0.619 0.6176 0.6182 etc

171. UBC Institute Of Applied Mathematics Interdisciplinary graduate programs offered in fields such as mathematical biology, numerical analysis, and computational geometry. http://www.iam.ubc.ca

Institute of Applied Mathematics The University of British Columbia Room 311, Leonard S. Klinck Bldg. 6356 Agricultural Road Vancouver, B.C. V6T 1Z2 Canada Phone: Fax: Locate us (map) IAM users: Click here to open ssh connection to main server

172. Information Technology Department Of Scientific Computing Research in numerical analysis, highperformance computing, mathematical software, and image analysis. http://www.tdb.uu.se/

The page you are visiting has been replaced. Please visit our new main web site - incorporated as part of the Department of Information Technology web. Updated information regarding staff, address, research, education and others can primarily be found there. The Division of Scientific Computing at the Department of Information Technology, Uppsala University, carries out research and offers courses - undergraduate and graduate - in the areas of Scientific Computing (numerical analysis, high-performance computing, and mathematical software) and Computerized Image Analysis. Last changed March 23, 2004, Webmaster

173. ANU - Mathematical Sciences Institute (MSI) - Centre For Mathematics And Its App The Australian National University, mathematical Sciences Institute (MSI). Centre for Mathematics and its Applications. http://wwwmaths.anu.edu.au/CMA/

Skip Navigation ANU Home Search ANU Mathematical Sciences Institute (MSI) Centre for Mathematics and its Applications MSI Home People Research Study ... Jobs MSI Intranet Internal pages Quick Links Search MSI Contact us Centre for Mathematics and its Applications (CMA) The Centre for Mathematics and its Applications (CMA) has the primary function of a research institute in the mathematical sciences, fulfilling both national and international roles in that capacity. The CMA is Australia's representative in the International Mathematical Science Institutes (IMSI) , the international consortium which includes all the world's major mathematical science research institutes. The CMA also cooperates with the Australian Mathematical Sciences Institute (AMSI) The CMA publishes a series of research monographs and has extensive series of mathematical and statistical research reports The Head of the CMA is Professor Alan McIntosh Recent achievements Sue Wilson and her colleagues in the Centre for Bioinformation Science (CBiS) investigated the reason that disease gene results are not always replicable. Her important modelling result shows that the cause may be due to researchers analysing each gene separately and ignoring the complex interactions among the genes. ANU scientists now are developing alternative genomic analyses of familial data. Neil Trudinger and Xu-Jia Wang solved an important conjecture concerning the existence of locally convex hypersurfaces of constant Gauss curvature with prescribed boundaries. Min-Chun Hong also settled a long-standing conjecture by proving that if an ellipsoid is sufficiently elongated then the equatorial map is energy minimizing.

174. Math Analysis I. Introductory Math II. Algorithmic Math. The BJT switching process depends on the initial condition in the Base Charge and the http://jas.eng.buffalo.edu/education/bjt/switching/math.html

QuickNote Introduction Applet Tutorial Applet Worksheet ... How To Print Mathematical Analysis introductory math algorithmic math I. Introductory Math II. Algorithmic Math The BJT switching process depends on the initial condition in the Base Charge and the applied input voltage signal.We shall use these definitions: Q bo = amount of excess base charge at the time of switching Q eos = Base charge at the "edge-of-saturation", i.e., at the boundary between the active-mode and the saturation-mode. V = input low; V = input high I sat = collector current at saturation. t s = saturation time constant. b = forward current gain. 1. When the input voltage V I switches from Low V to High V : inputLoToHi = true 1) Q bo = (zero excess base charge) i) If the Emitter junction is fully depleted cut-off: t d = R B (C je +C jc ) ln[(V -V )/(V ii) If the Emitter junction is less than max. reverse bias: only part of t d V I , i B ... C bo eos : Base charge is in the forward active-mode Q b (t) = I [1 - exp(-t / t )] + Q bo until Q b reaches Q eos , where

175. ScienceDirect - Journal Of Mathematical Analysis And Applications - List Of Issu www.sciencedirect.com/webeditions/journal/0022247X IDEAL Redirect ServiceScience Direct. IDEAL is now integrated into ScienceDirect. Libraries Remember to migrate IDEAL OPAC links by July 1, 2003. Conversion http://www.sciencedirect.com/science/journal/0022247X

This Feature requires JavaScript Register or Login: Password: Athens Login Journal of Mathematical Analysis and Applications Bookmark this page as: http://www.sciencedirect.com/science/journal/0022247X Articles in Press Volume 295 Volume 295, Issue 1 , Pages 1-289 (1 July 2004) Volume 294 Volume 293 Volume 292 Volume 291 ... Volume 172 Alert me when new Journal Issues are available Add this journal to My Favorite Journals Sample Issue Online More Publication Info Information for Authors Feedback ... Elsevier B.V.

176. Athens Users Login Athens Users Login. EBSCOhost Support. User ID, Password, Minimum browser requirements Internet Explorer 5.0 and Netscape 4.7. Important http://search.epnet.com/direct.asp?db=aph&jid=2DC&scope=site

177. The Virial Theorem The Virial Theorem. The virial theorem states that, for a stable, selfgravitating, spherical distribution of equal mass objects http://astrosun2.astro.cornell.edu/academics/courses/astro201/vt.htm

The Virial Theorem The virial theorem states that, for a stable, self-gravitating, spherical distribution of equal mass objects (stars, galaxies, etc), the total kinetic energy of the objects is equal to minus 1/2 times the total gravitational potential energy. In other words, the potential energy must equal the kinetic energy, within a factor of two. Suppose that we have a gravitationally bound system that consists of N individual objects (stars, galaxies, globular clusters, etc.) that have the same mass m and some average velocity v . The overall system has a mass M tot = N m and a radius R tot The kinetic energy of each object is K.E.(object) = 1/2 m v while the kinetic energy of the total system is K.E.(system) = 1/2 m N v = 1/2 M tot v where v is the mean of the squares of v . The gravitational potential energy of the system can be written as: We usually assume that all of the orbits travel on similar orbits that are isotropic, that is, are not flattened in any way and have no preferential direction; we say these are random orbits . The virial theorem then requires that the kinetic energy equals one half the potential energy, that is:

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