141. UnitMath Example: ( Geometric Solids ) The following examples show how to use UnitMath with geometric solids. volume pi * radius^2 * height; SurfaceArea 2 pi radius ( radius + height );. http://unitmath.com/um/p/Examples/GeometricSolids/GeometricSolids.html

UnitMath Example: ( Geometric Solids ) Last Modified: 9/10/2000 email Examples FAQ Home ... Windows demo The following examples show how to use UnitMath with geometric solids. Box ( Rectangular Parallelepiped ) Cone ( Right Circular Cone ) Cylindrical Solids Can ( Right Circular Cylinder ) Circular Spiral Horizontal Cylinder ( Partly Filled ) Oblate Spheroid ... Prolate Spheroid Spherical Solids Lune Sphere Zone and Segment of One Base Box ( Rectangular Parallelepiped ) TOP The following can be found from the lengths of the sides of a box. volume: length * width * height; SurfaceArea: 2 * ( length * width + length * height + width * height ); diagonal: sqrt( length^2 + width^2 + height^2 ); Example Calculations for Boxes Find the volume, surface area, and diagonal of a box; given, length: 2 feet, height: 18 inches, width: yard; volume: length * width * height; SurfaceArea: 2 * ( length * width + length * height + width * height ); diagonal: sqrt( length^2 + width^2 + height^2 ); length: 2 feet; height: 18 inches; width: yard; volume as cu feet;

142. Index Of /~cramer/RelViz/text/exhib1 An exhibition on relativistic computer dynamics used to present the theory of black holes. http://www.astro.ku.dk/~cramer/RelViz/text/exhib1

Index of /~cramer/RelViz/text/exhib1 Name Last modified Size Description ... Parent Directory 22-Sep-1999 08:23 - contents.pl 14-Jun-1996 23:34 1k exhib1.css 14-Jun-1996 23:34 1k exhib1.html 15-Jun-1996 01:41 4k images.aux 14-Jun-1996 23:34 1k images.log 14-Jun-1996 23:34 3k images.pl 14-Jun-1996 23:34 1k images.tex 14-Jun-1996 23:34 1k img1.gif 14-Jun-1996 23:34 1k img2.gif 14-Jun-1996 22:15 1k img3.gif 14-Jun-1996 22:15 1k img4.gif 14-Jun-1996 22:15 1k img5.gif 14-Jun-1996 23:07 1k img6.gif 14-Jun-1996 23:07 1k img7.gif 14-Jun-1996 23:07 1k img8.gif 14-Jun-1996 22:16 1k img9.old 14-Jun-1996 22:15 1k node1.html 14-Jun-1996 23:34 2k sections.pl 14-Jun-1996 23:34 1k test.gif 14-Jun-1996 23:23 1k Apache/1.3.9 Server at www.astro.ku.dk Port 80

143. Topological Aspects Of Real Algebraic Geometry Research semester, MSRI , Berkeley, CA, USA; 2 January 14 May 2004. http://zeta.msri.org/calendar/programs/ProgramInfo/120/show_program

Calendar Topological Aspects of Real Algebraic Geometry January 5, 2004 to May 14, 2004 at the Mathematical Sciences Research Institute, Berkeley, California Organized by: Selman Akbulut Grisha Mikhalkin Victoria Powers Boris Shapiro ... Frank Sottile (chair), and Oleg Viro Real algebraic geometry the geometry of varieties defined by systems of real polynomial equations is a classical subject presently encompassing many distinct lines of inquiry. This program will cover modern developments in real algebraic geometry and its applications emphasizing topological aspects of this subject and its relations to other fields of mathematics. These relations arise as real algebraic varieties appear naturally in various mathematical contexts and, in particular, in applied mathematics, and there continue to be important interactions with these subjects. (One interaction with solving equations.) Besides the traditional directions of topological classification of real algebraic varieties, we mean to focus on enumerative problems and relations to convex geometry via the theory of amoebas and tropical geometry. This will include many recent and notable advances in real algebraic geometry, as well as some of its most important open problems. Of particular emphasis will be the following topics. Real algebraic curves. (The pictures below are of two constructions of real plane curves exploiting convexity.)

144. Arithmetic Algebraic Geometry A European network of 12 working groups from 6 countries. http://www.maths.univ-rennes1.fr/arithgeom/

A Research Training Network of the European Union Overview Partners Programme Positions Activities Project overview Developing powerful methods taken from geometry to study the arithmetical properties of algebraic equations Algebraic equations and their arithmetical properties have interested mankind since antiquity. One has only to think of the works of Pythagoras and Diophantus, which were a milestone in their time. For many centuries such problems have fascinated both serious mathematicians (Fermat, Gauss, ...) and amateurs alike. However, developments in recent years have transformed the subject into one of the central areas of mathematical research, which has relations with, or applications to, virtually every mathematical field, as well as an impact to contemporary everyday life (for example, the use of prime numbers and factorisation for encoding "smart" cards). The classical treatment of equations by analysis and geometry in the realm of complex numbers in this century has found a counterpart, in the similar theories over finite and p -adic fields, which have particular significance for arithmetic questions. The study of certain functions encoding arithmetic information and generalising the Riemann zeta-function (

145. AC Commutative Algebra Articles cover commutative rings, modules, ideals, homological algebra, computational aspects, invariant theory, connections to algebraic geometry and combinatorics. http://front.math.ucdavis.edu/math.AC

Fri 11 Jun 2004 Search Submit Retrieve Subscribe ... iFAQ AC Commutative Algebra Calendar Search Authors: AB CDE FGH IJK ... U-Z New articles (last 12) 10 Jun math.AC/0406175 Graded rings and the Nash process. John Atwell Moody AC 10 Jun math.AC/0406165 On the associated primes of Matlis duals of top local cohomology modules. Michael Hellus . 10 pages. AC 10 Jun math.AC/0406160 A tight closure analogue of analytic spread. Neil Epstein . 16 pages. AC 8 Jun math.AC/0406097 The Gorenstein and complete intersection properties of associated graded rings. William Heinzer , Mee-Kyoung Kim , Bernd Ulrich AC 4 Jun math.AC/0406057 Gorenstein projective dimension for complexes. Oana Veliche AC RA 28 May math.AC/0405526 Semi-dualizing modules and related Gorenstein homological dimensions. Henrik Holm , Peter Jorgensen . 25 pages. AC Cross-listings 8 Jun math.SG/0406104 On the Structure of Certain Natural Cones over Moduli Spaces of Genus-One Holomorphic Maps. Aleksey Zinger . 38 pages. SG AC 8 Jun math.GR/0406100 Notes on Engel groups and Engel elements in groups. Some generalizations. Boris Plotkin . 17 pages. GR AC 28 May math.AT/0405525

146. GrafiCalc - Next Generation Engineering Solver GrafiCalc allows users to simulate and solve a wide range of geometry based computational challenges. http://www.graficalc.com/

Engineering decision-support software Welcome. Here you will find information about GrafiCalc software that helps users to significantly shorten design cycles, reduce costs, while finding the highest quality engineering solutions up-front with unprecedented ease, speed, and accuracy. GrafiCalc allows you to bi-directionally associate geometry, dimensions, and calculations within a single flexible intent-model. Then you can vary design parameters to ask and receive instantaneous engineering decision-support information and answers As much as ninety percent of a product’s final performance and cost is nailed down in the first ten percent of the design cycle. However, it is in the early stages of design when users have to make the most critical design decisions with maximum questions and minimum information, while conflicts are easier to detect and less expensive to fix. GrafiCalc is groundbreaking pre-modeling calculation and analysis software that helps users to conceptualize, analyze, optimize, and solve a wide range of geometry-dependent engineering challenges in less time than any other known method. Already, GrafiCalc has been adopted by thousands of users to engineer better products in less time. We invite your consideration.

147. Algebraic Geometry, Commutative Algebra And Combinatorics -- Erice 2001, NATO Ad Exterior Algebra Methods and Other New Directions. Erice, Sicily, Italy; 9 15 September 2001. http://www.math.sunysb.edu/~sorin/Erice-2001/

Event photos The workshop in Erice will address a wide range of new developments in classical Algebraic Geometry such as curves and their moduli, surfaces, higher dimensional varieties, vector bundles, and toric varieties. A special focus will be on exterior algebra methods which have recently grown in importance in Algebraic Geometry, Commutative Algebra, and Combinatorics, and their computational aspects (Bernstein-Gel'fand-Gel'fand correspondence, Beilinson monad, theory of Chow forms and resultants, algebraic shifting, free resolutions over the exterior algebra, linear syzygies, hyperplane arrangements, ...) Organizing Committee: David Eisenbud Lucian Badescu Sorin Popescu and Alfio Ragusa Speakers (tentative): The following people have responded positively to our invitation: Sponsors: NATO Scientific Affairs Division EAGER: European Algebraic Geometry Research Training Network and the University of Catania , Sicily. Registration: The cost of staying at the Ettore Majorana Centre will be approximately $80 per night (lodging/meals/transfer from/to the airport/1/2 day trip included), and there will be a fee of $100 for the social events. We will be able to offer financial assistance to some of the participants, particularly to younger mathematicians and speakers.

148. Universal Connections - Connecting People To Purpose GeoTran uses sacred geometry and numeric language to correct and heal misinformation in the energy field. http://universalconnections.org/

FREE EVENT Click to Go Here Edmonton, Alberta, Canada Updated: May 6, 2004 Web Site by: Danie Hardie Creative Communications Ltd.

149. ESF - HTTP Error: 404 - Not Found European Science Foundation research network. http://www.esf.org/physical/pn/GeoDis/Geodisa.htm

Search by topics... Programmes Networks EURESCO Conferences Exploratory Workshops EUROCORES Forward Looks Research Infrastructures Programmes Networks EURESCO Conferences Exploratory Workshops ... Research Infrastructures ESF Mailing Lists ESF Discussion Forum 404 Not Found The page you were looking for could not be found. It may have been moved, may no longer exist on our server or may be that you entered the url in capitals letters. Please note that only small letters should be used. If you were presented with this page as a result of following a link on one of our pages, please drop a note to the webmaster Thank you.

150. BIOMETRICS: HAND GEOMETRY Michigan State University http://biometrics.cse.msu.edu/hand_geometry.html

HAND GEOMETRY Home What's New Overview People ... Useful Links By Arun Ross and Anil Jain Hand Geometry: This approach uses the geometric shape of the hand for authenticating a user's identity. Authentication of identity using hand geometry is an interesting problem. Individual hand features are not descriptive enough for identification. However, it is possible to devise a method by combining various individual features to attain robust verification. Hand Geometry vs Fingerprints: Unlike fingerprints, the human hand isn't unique. One can use finger length, thickness, and curvature for the purposes of verification but not for identification. For some kinds of access control like immigration and border control, invasive biometrics (eg., fingerprints) may not be desirable as they infringe on privacy. In such situations it is desirable to have a biometric system that is sufficient for verification. As hand geometry is not distinctive, it is the ideal choice. Furthermore, hand geometry data is easier to collect. With fingerprint collection good frictional skin is required by imaging systems, and with retina-based recognition systems, special lighting is necessary. Additionally, hand geometry can be easily combined with other biometrics, namely fingerprint. One can envision a system where fingerprints are used for (infrequent) identification and hand geometry is used for (frequent) verification. Past Projects: A Hand Geometry-Based Verification System: This project explores the use of hand geometry as a measure of a person's identity. The system consists of an acquisition device that captures the top view and side view of a user's right hand as he places it on the flat surface of the device. A snapshot of the user's hand is taken for processing. A set of features have been identified that could be used to represent a person's hand. These features include the lengths and widths of the fingers at various locations.

151. Katia Consani's Home Page University of Toronto. Arithmetic geometry, number theory, noncommutative geometry. http://www.math.toronto.edu/kc/

Katia Consani Associate Professor Mailing Address Department of Mathematics University of Toronto (SS 4046) 100 St. George Street Toronto, ON M5S-3G3, CANADA How to reach me Office : Sidney Smith Hall 4046 Phone Fax E-mail kc@math.toronto.edu Links UofT Math Department home page Research Research area Arithmetic geometry, Number Theory My curriculum vitae Papers My publications and preprints 2nd Workshop on Non-Commutative Geometry and Number-Theory at MPIM-Bonn: June 14-18, 2004. Organizers: A. Connes, Y. Manin, M. Marcolli, K. Consani. Announcement on the web-page at MPIM-Bonn 1st Workshop on Non-Commutative Geometry and Number-Theory at MPIM-Bonn: August 18-22, 2003. Organizers: Y. Manin, M. Marcolli, K. Consani. Schedule (updated 08/15/03); Photos of the speakers (please don't blame the photographer!) Teaching Winter/Spring terms 2003-04 Calculus! Spring term 2004 Introduction to sheaves and schemes Number Theory/Representation Theory Seminar Spring term 2004 List of speakers and titles Colloquium schedule Schedule for the academic year 2003-04 List of speakers and titles Statements A philosophical scene-assertion from the movie `Young Frankenstein' by Mel Brooks Grothendieck's related web-sites The Grothendieck-circle Grothendieck Biography Project The Bourbakistas

152. Home Page For Jeff Thunder Northern Illinois University. geometry of numbers. http://www.math.niu.edu/~jthunder/

Jeff Thunder Hi. I'm new at this WWW stuff, so please be gentle! I can be contacted by email, phone or usual mail. jthunder@math.niu.edu Dept. of Math., NIU, DeKalb, IL 60115 Click here to access mathematical papers. I don't have a picture here, but if you are sufficiently perverted, you can find all sorts of them on the naughtier newsgroups. None are of me, I might add. This homepage first erected March 23, 1995 (Revised Oct. 11, 1995) jthunder@math.niu.edu FYEO

153. OpenProblems Open Problems on Discrete and Computational geometry. Introduction This web page contains a list of open problems in Discrete and Computational geometry. http://www.site.uottawa.ca/~jorge/openprob/

Open Problems on Discrete and Computational Geometry. Introduction: This web page contains a list of open problems in Discrete and Computational Geometry . Contributions to the list are invited. To contribute problems, submit them to me by e-mail, in html format. For each problem you pose, you may include one or two figures, in gif or jpg format. Make sure they are not too big, as this slows down their downloading time considerably . If any problem posed here is solved, I would appreciate it if you send me an e-mail to jorge@csi.uottawa.ca . In each problem you pose, include, to the best of your knowledge, who posed the problem first, and relevant references. Try to be short, concise and to the point. This will make your problems more attractive, and may increase the chances someone will read and try to solve them. If you detect inaccuracies regarding references, etc. in the problems posed here, please let me know so that I can correct them. At least until the end of this year, the format of this page will be evolving, until a satisfactory final layout is reached. Sorry for the inconveniences this may create. Jorge Urrutia , November, 1996.

154. Parasolid The geometry engine inside SolidWorks, SolidEdge, DesignWave, IronCAD, Unigraphics and many other products. http://www.ugsolutions.com/products/parasolid/

155. Differential Gometry And General Relativity A course from the Department of Mathematics at Hofstra University on differential geometry and general relativity. http://www.hofstra.edu/~matscw/diff_geom/tc.html

Introduction to Differential Geometry and General Relativity Lecture Notes by Stefan Waner, Department of Mathematics, Hofstra University These notes are dedicated to the memory of Hanno Rund. TABLE OF CONTENTS 1. Preliminaries: Distance, Open Sets, Parametric Surfaces and Smooth Functions 2. Smooth Manifolds and Scalar Fields 3. Tangent Vectors and the Tangent Space 4. Contravariant and Covariant Vector Fields ... Download the latest version of the differential geometry/relativity notes in PDF format References and Suggested Further Reading (Listed in the rough order reflecting the degree to which they were used) Bernard F. Schutz, A First Course in General Relativity (Cambridge University Press, 1986) David Lovelock and Hanno Rund, Tensors, Differential Forms, and Variational Principles (Dover, 1989) Charles E. Weatherburn, An Introduction to Riemannian Geometry and the Tensor Calculus (Cambridge University Press, 1963) Charles W. Misner, Kip S. Thorne and John A. Wheeler, Gravitation (W.H. Freeman, 1973) Keith R. Symon

156. Finitism In Geometry Approaches to geometry that do not presuppose an infinity of points; by JeanPaul van Bendegem. http://plato.stanford.edu/entries/geometry-finitism/

version history HOW TO CITE THIS ENTRY Stanford Encyclopedia of Philosophy A B C D ... Z This document uses XHTML-1/Unicode to format the display. Older browsers and/or operating systems may not display the formatting correctly. last substantive content change APR Finitism in Geometry In our representations of the world, especially in physics, infinities play a crucial role. The continuum of the real numbers as a representation of time or one-dimensional space is the best known example. However, these same infinities also cause problems. One just has to think about Zeno's paradoxes or the present-day continuation of that discussion, namely, the discussion about supertasks, to see the difficulties. Hence, it is a very tempting idea to investigate whether it is possible to eliminate these infinities and still be able to do physics. This problem reduces first of all to the question of the possibility of a discrete geometry that can approximate classical infinite geometry as closely as possible. If a positive answer can be given to this question, the second question is what could be the possible physical relevance (if any). 1. What is Finitism in Geometry?

157. Module PODs Circle $circle = new GeometryCircle $x, $y, $r ($x, $y) = $circle center; $radius = $circle- radius; $area = $circle- area $pi = $GeometryCirclepi;, The http://world.std.com/~swmcd/steven/perl/module_pod.html

Module PODs The documentation for Perl modules is written in a simple markup language called POD (Plain Old Documentation). This page shows how to write a POD for a Perl module. If you adhere to this style, then it will be easier for others to read and understand your documentation. puts a skeleton POD at the end of the .pm file that it writes. Read the PODs in existing modules for additional examples. =head1 NAME Geometry::Circle - manages a circle The NAME section gives the name of the module and a one-line description. The name and description are separated by a dash. It is important to adhere to this format so that the POD can be converted to a proper man page. The SYNOPSIS section shows the essential steps in using the module: the use statement, any subroutines, class methods or variables, and all object methods. Method calls should indicate their parameters and return values. Indent each line in the synopsis. This makes it a verbatim paragraph, and ensures that your alignment will be preserved. =head1 REQUIRES Perl5.004, Exporter, Geometry::Point

158. Geometry And The Imagination Has a small section on knot theory at an introductory level. Also has sections on orbifolds, polyhedra and topology. http://math.dartmouth.edu/~doyle/docs/gi/gi/gi.html

Bicycle tracks C. Dennis Thron has called attention to the following passage from The Adventure of the Priory School , by Sir Arthur Conan Doyle: `This track, as you perceive, was made by a rider who was going from the direction of the school.' `Or towards it?' `No, no, my dear Watson. The more deeply sunk impression is, of course, the hind wheel, upon which the weight rests. You perceive several places where it has passed across and obliterated the more shallow mark of the front one. It was undoubtedly heading away from the school.' Problems Discuss this passage. Does Holmes know what he's talking about? Try to come up with a method for telling which way a bike has gone by looking at the track it has left. There are all kinds of possibilities here. Which methods do you honestly think will work, and under what conditions? For example, does your method only work if the bike has passed through a patch of wet cement? Would it work for tracks on the beach? Tracks on a patch of dry sidewalk between puddles? Tracks through short, dewy grass? Tracks along a thirty-foot length of brown package-wrapping paper, made by a bike whose tires have been carefully coated with mud, and which has been just ridden long enough before reaching the paper so that the tracks are not appreciably darker at one end of the paper than the other? Try to determine the direction of travel for the idealized bike tracks in Figure Figure 1: Which way did the bicycle go?

159. History Of Mathematics - Facets Of India : Ancient And Modern Includes history of algebra trigonometry, numerical mathematics, and geometry in this region. http://www.geocities.com/dipalsarvesh/mathematics.html

If we, the daughters and sons of the Bharata Mata (Mother India), do not help our other sisters and brothers then who else ? Please click here to help the wounded cradle of civilization. Dear guest, your feedback is very important to us and is more than welcome. Please email or click here to give your feedback. If you are not viewing this page from its parent site, please click here to visit the parent site titled "Facets of India : Ancient and Modern". Obligatory Note: This matter is created/compiled by Sarvesh Srivastava from various authentic resources for the site titled "Facets of India : Ancient and Modern" . Please feel free to link the page as it is, including this note, but strictly refrain from copying it as it may result in appropriate legal action. History of Ganit (Mathematics) Introduction Ganit (Mathematics) has been considered a very important subject since ancient times. We find very elaborate proof of this in Vedah (which were compiled around 6000 BC). The concept of division, addition et-cetera was used even that time. Concepts of zero and infinite were there. We also find roots of algebra in Vedah. When Indian Beez Ganit reached Arab, they called it Algebra. Algebra was name of the Arabic book that described Indian concepts. This knowledge reached to Europe from there. And thus ancient Indian Beez Ganit is currently referred to as Algebra.

160. Home Page For Arthur Baragar University of Nevada, Las Vegas. Number theory, arithmetic geometry, and algebraic geometry. Personal background and mathematical links. http://www.nevada.edu/~baragar/

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