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The Symbol of Infinity Represented by the Art
ering & ine M g a n n E Tamir, Ind Eng Manage 2014, 3:3 a l g a i e r m t s DOI: 10.4172/2169-0316.1000e124 e u n d t n I Industrial Engineering & Management ISSN: 2169-0316 Editorial Open Access Artistic Demonstrations by Euclidean Geometry: Possible in 2D but Impossible in 3D Abraham Tamir* Department of Chemical Engineering, Ben-Gurion University of the Negev, Beer-Sheva, Israel Infinity is a concept that has different meanings in mathematics, hole. The right hand side of Figure 2 entitled “The False Mirror” is philosophy, cosmology and everyday language. However the common the artwork of the Belgian surrealist artist Rene Magritte. A giant eye to all meanings is that infinity is something that its content is higher is formed as a frame of a blue sky with clouds. The pupil of the eye than everything else or a process that will never reach its end. The creates a dead centre in a sharp colour contrast to the white and blue of mathematical symbol of infinity is demonstrated in the different the sky, and also with a contrast of form–the hard outline of the pupil artworks that are the major subject of this article. The most accepted against the soft curves and natural form of the clouds. Surprisingly, the definition of infinity is “a quantity greater than any assignable quantity combination of the original artwork on the right with its mirror image of the same kind”. Other definitions are as follows. In geometry it creates the symbol of infinity. -
SVG Tutorial
SVG Tutorial David Duce *, Ivan Herman +, Bob Hopgood * * Oxford Brookes University, + World Wide Web Consortium Contents ¡ 1. Introduction n 1.1 Images on the Web n 1.2 Supported Image Formats n 1.3 Images are not Computer Graphics n 1.4 Multimedia is not Computer Graphics ¡ 2. Early Vector Graphics on the Web n 2.1 CGM n 2.2 CGM on the Web n 2.3 WebCGM Profile n 2.4 WebCGM Viewers ¡ 3. SVG: An Introduction n 3.1 Scalable Vector Graphics n 3.2 An XML Application n 3.3 Submissions to W3C n 3.4 SVG: an XML Application n 3.5 Getting Started with SVG ¡ 4. Coordinates and Rendering n 4.1 Rectangles and Text n 4.2 Coordinates n 4.3 Rendering Model n 4.4 Rendering Attributes and Styling Properties n 4.5 Following Examples ¡ 5. SVG Drawing Elements n 5.1 Path and Text n 5.2 Path n 5.3 Text n 5.4 Basic Shapes ¡ 6. Grouping n 6.1 Introduction n 6.2 Coordinate Transformations n 6.3 Clipping ¡ 7. Filling n 7.1 Fill Properties n 7.2 Colour n 7.3 Fill Rule n 7.4 Opacity n 7.5 Colour Gradients ¡ 8. Stroking n 8.1 Stroke Properties n 8.2 Width and Style n 8.3 Line Termination and Joining ¡ 9. Text n 9.1 Rendering Text n 9.2 Font Properties n 9.3 Text Properties -- ii -- ¡ 10. Animation n 10.1 Simple Animation n 10.2 How the Animation takes Place n 10.3 Animation along a Path n 10.4 When the Animation takes Place ¡ 11. -
Interactive Topographic Web Mapping Using Scalable Vector Graphics
University of Nebraska at Omaha DigitalCommons@UNO Student Work 12-1-2003 Interactive topographic web mapping using scalable vector graphics Peter Pavlicko University of Nebraska at Omaha Follow this and additional works at: https://digitalcommons.unomaha.edu/studentwork Recommended Citation Pavlicko, Peter, "Interactive topographic web mapping using scalable vector graphics" (2003). Student Work. 589. https://digitalcommons.unomaha.edu/studentwork/589 This Thesis is brought to you for free and open access by DigitalCommons@UNO. It has been accepted for inclusion in Student Work by an authorized administrator of DigitalCommons@UNO. For more information, please contact [email protected]. INTERACTIVE TOPOGRAPHIC WEB MAPPING USING SCALABLE VECTOR GRAPHICS A Thesis Presented to the Department of Geography-Geology and the Faculty of the Graduate College University of Nebraska in Partial Fulfillment of the Requirements for the Degree Master of Arts University of Nebraska at Omaha by Peter Pavlicko December, 2003 UMI Number: EP73227 All rights reserved INFORMATION TO ALL USERS The quality of this reproduction is dependent upon the quality of the copy submitted. In the unlikely event that the author did not send a complete manuscript and there are missing pages, these will be noted. Also, if material had to be removed, a note will indicate the deletion. Dissertation WWisMng UMI EP73227 Published by ProQuest LLC (2015). Copyright in the Dissertation held by the Author. Microform Edition © ProQuest LLC. All rights reserved. This work is protected against unauthorized copying under Title 17, United States Code ProQuest LLC. 789 East Eisenhower Parkway P.O. Box 1346 Ann Arbor, Ml 48106-1346 THESIS ACCEPTANCE Acceptance for the faculty of the Graduate College, University of Nebraska, in Partial fulfillment of the requirements for the degree Master of Arts University of Nebraska Omaha Committee ----------- Uf.A [JL___ Chairperson. -
The Case of Infinity
University of Texas at El Paso DigitalCommons@UTEP Open Access Theses & Dissertations 2015-01-01 Challenges in Assessing College Students' Conception of Duality: The aC se of Infinity Grace Olutayo Babarinsa-Ochiedike University of Texas at El Paso, [email protected] Follow this and additional works at: https://digitalcommons.utep.edu/open_etd Part of the Higher Education Administration Commons, Higher Education and Teaching Commons, Mathematics Commons, and the Science and Mathematics Education Commons Recommended Citation Babarinsa-Ochiedike, Grace Olutayo, "Challenges in Assessing College Students' Conception of Duality: The asC e of Infinity" (2015). Open Access Theses & Dissertations. 997. https://digitalcommons.utep.edu/open_etd/997 This is brought to you for free and open access by DigitalCommons@UTEP. It has been accepted for inclusion in Open Access Theses & Dissertations by an authorized administrator of DigitalCommons@UTEP. For more information, please contact [email protected]. CHALLENGES IN ASSESSING COLLEGE STUDENTS’ CONCEPTION OF DUALITY: THE CASE OF INFINITY GRACE OLUTAYO BABARINSA-OCHIEDIKE Department of Teacher Education APPROVED: ________________________________ Mourat Tchoshanov, Ph.D., Chair ________________________________ Olga Kosheleva, Ph.D. ________________________________ Helmut Knaust, Ph.D. Charles Ambler, Ph.D. Dean of the Graduate School Copyright © by Grace Olutayo Babarinsa-Ochiedike 2015 Dedication I dedicate this dissertation to the Ancient of Days; the author and the finisher of my faith. When my heart was overwhelmed, you led me beside the still waters and you restored my soul. To my husband, Uzoma, with whom I am blessed to share my life. This journey begun 7 ½ years could not have been possible without your inspiration, understanding, and support. -
DICOM PS3.5 2021C
PS3.5 DICOM PS3.5 2021d - Data Structures and Encoding Page 2 PS3.5: DICOM PS3.5 2021d - Data Structures and Encoding Copyright © 2021 NEMA A DICOM® publication - Standard - DICOM PS3.5 2021d - Data Structures and Encoding Page 3 Table of Contents Notice and Disclaimer ........................................................................................................................................... 13 Foreword ............................................................................................................................................................ 15 1. Scope and Field of Application ............................................................................................................................. 17 2. Normative References ....................................................................................................................................... 19 3. Definitions ....................................................................................................................................................... 23 4. Symbols and Abbreviations ................................................................................................................................. 27 5. Conventions ..................................................................................................................................................... 29 6. Value Encoding ............................................................................................................................................... -
Tool 44: Prime Numbers
PART IV: Cinematography & Mathematics AGE RANGE: 13-15 1 TOOL 44: PRIME NUMBERS - THE MAN WHO KNEW INFINITY Sandgärdskolan This project has been funded with support from the European Commission. This publication reflects the views only of the author, and the Commission cannot be held responsible for any use which may be made of the information contained therein. Educator’s Guide Title: The man who knew infinity – prime numbers Age Range: 13-15 years old Duration: 2 hours Mathematical Concepts: Prime numbers, Infinity Artistic Concepts: Movie genres, Marvel heroes, vanishing point General Objectives: This task will make you learn more about infinity. It wants you to think for yourself about the word infinity. What does it say to you? It will also show you the connection between infinity and prime numbers. Resources: This tool provides pictures and videos for you to use in your classroom. The topics addressed in these resources will also be an inspiration for you to find other materials that you might find relevant in order to personalize and give nuance to your lesson. Tips for the educator: Learning by doing has proven to be very efficient, especially with young learners with lower attention span and learning difficulties. Don’t forget to 2 always explain what each math concept is useful for, practically. Desirable Outcomes and Competences: At the end of this tool, the student will be able to: Understand prime numbers and infinity in an improved way. Explore super hero movies. Debriefing and Evaluation: Write 3 aspects that you liked about this 1. activity: 2. 3. -
SVG Programming: the Graphical Web
SVG Programming: The Graphical Web KURT CAGLE APress Media, LLC SVG Programming: The Graphical Web Copyright © 2002 by Kurt Cagle Originally published by Apress in 2002 All rights reserved. No part of this work may be reproduced or transmitted in any form or by any means, electronic or mechanical, including photocopying, recording, or by any information storage or retrieval system, without the prior written permission of the copy right owner and the publisher. ISBN 978-1-59059-019-5 ISBN 978-1-4302-0840-2 (eBook) DOI 10.1007/978-1-4302-0840-2 Trademarked names may appear in this book. Rather than use a trademark symbol with every occurrence of a trademarked name, we use the names only in an editorial fashion and to the benefit of the trademark owner, with no intention of infringement of the trademark. Technical Reviewer: Don Demcsak Editorial Directors: Dan Appleman, Peter Blackburn, Gary Cornell, Jason Gilmore, Karen Watterson, John Zukowski Project Manager: Tracy Brown Collins Copy Editor: Kim Wirnpsett Production Editor: Grace Wong Compositor: Impressions Book and Journal Services, Inc. Indexer: Ron Strauss Cover Designer: Kurt Krames Manufacturing Manager: Tom Debolski Marketing Manager: Stephanie Rodriguez In the United States, phone 1-800-SPRINGER, email orders@springer-ny. com, or visit http:llwww.springer-ny.com. Outside the United States, fax +49 6221 345229, email orders@springer. de, or visit http:llwww.springer.de. For information on translations, please contact Apress directly at 2560 Ninth Street, Suite 219, Berkeley, CA94710. Phone 510-549-5930, fax: 510-549-5939, email [email protected], or visit http: I lwww. -
Web 2D Graphics: State-Of-The-Art
Web 2D Graphics: State-of-the-Art © David Duce, Ivan Herman, Bob Hopgood 2001 Contents l 1. Introduction ¡ 1.1 Images on the Web ¡ 1.2 Supported Image Formats ¡ 1.3 Images are not Computer Graphics l 2. Early Vector Graphics on the Web ¡ 2.1 CGM ¡ 2.2 CGM on the Web ¡ 2.3 WebCGM Profile ¡ 2.4 WebCGM Viewers l 3. SVG: an Introduction ¡ 3.1 Arrival of XML ¡ 3.2 Submissions to W3C ¡ 3.3 SVG: an XML Application ¡ 3.4 An introduction to SVG ¡ 3.5 Coordinate Systems ¡ 3.6 Path Expressions ¡ 3.7 Other Drawing Elements l 4. Rendering the SVG Drawing ¡ 4.1 Visual Aspects ¡ 4.2 Text ¡ 4.3 Styling l 5. Filter Effects l 6. Animation ¡ 6.1 Introduction ¡ 6.2 What is Animated ¡ 6.3 How the Animation Takes Place ¡ 6.4 When the Animation Take Place l 7. Scripting and the DOM l 8. Current State and the Future ¡ 8.1 Implementations ¡ 8.2 Metadata ¡ 8.3 Extensions to SVG l A. Filter Primitives in SVG l References -- 1 -- © David Duce, Ivan Herman, Bob Hopgood 2001 1. Introduction l 1.1 Images on the Web l 1.2 Supported Image Formats l 1.3 Images are not Computer Graphics 1.1 Images on the Web The early browsers for the Web were predominantly aimed at retrieval of textual information. Tim Berners-Lee's original browser for the NeXT computer did allow images to be viewed but they popped up in a separate window and were not an integral part of the Web page. -
Abkürzungs-Liste ABKLEX
Abkürzungs-Liste ABKLEX (Informatik, Telekommunikation) W. Alex 1. Juli 2021 Karlsruhe Copyright W. Alex, Karlsruhe, 1994 – 2018. Die Liste darf unentgeltlich benutzt und weitergegeben werden. The list may be used or copied free of any charge. Original Point of Distribution: http://www.abklex.de/abklex/ An authorized Czechian version is published on: http://www.sochorek.cz/archiv/slovniky/abklex.htm Author’s Email address: [email protected] 2 Kapitel 1 Abkürzungen Gehen wir von 30 Zeichen aus, aus denen Abkürzungen gebildet werden, und nehmen wir eine größte Länge von 5 Zeichen an, so lassen sich 25.137.930 verschiedene Abkür- zungen bilden (Kombinationen mit Wiederholung und Berücksichtigung der Reihenfol- ge). Es folgt eine Auswahl von rund 16000 Abkürzungen aus den Bereichen Informatik und Telekommunikation. Die Abkürzungen werden hier durchgehend groß geschrieben, Akzente, Bindestriche und dergleichen wurden weggelassen. Einige Abkürzungen sind geschützte Namen; diese sind nicht gekennzeichnet. Die Liste beschreibt nur den Ge- brauch, sie legt nicht eine Definition fest. 100GE 100 GBit/s Ethernet 16CIF 16 times Common Intermediate Format (Picture Format) 16QAM 16-state Quadrature Amplitude Modulation 1GFC 1 Gigabaud Fiber Channel (2, 4, 8, 10, 20GFC) 1GL 1st Generation Language (Maschinencode) 1TBS One True Brace Style (C) 1TR6 (ISDN-Protokoll D-Kanal, national) 247 24/7: 24 hours per day, 7 days per week 2D 2-dimensional 2FA Zwei-Faktor-Authentifizierung 2GL 2nd Generation Language (Assembler) 2L8 Too Late (Slang) 2MS Strukturierte -
Toward a Local Instruction Theory For
TO INFINITY AND BEYOND: TOWARD A LOCAL INSTRUCTION THEORY FOR COMPLETED INFINITE ITERATION by IULIANA RADU A Dissertation submitted to the Graduate School-New Brunswick Rutgers, The State University of New Jersey in partial fulfillment of the requirements for the degree of Doctor of Philosophy Graduate Program in Mathematics Education Written under the direction of Keith Weber and approved by ________________________ ________________________ ________________________ ________________________ New Brunswick, New Jersey October, 2009 ABSTRACT OF THE DISSERTATION To Infinity And Beyond: Toward A Local Instruction Theory For Completed Infinite Iteration By IULIANA RADU Dissertation Director: Keith Weber There is evidence that students’ and mathematicians’ images of and reasoning about concepts such as infinite unions and intersections of sets, limits, and convergent series often invoke the consideration of infinite iterative processes. Therefore, not reasoning normatively about infinite iteration may hinder students’ understanding of fundamental concepts in mathematics. Research suggests that the vast majority of college students are inclined to use non-normative reasoning when presented with tasks that challenge them to imagine an infinite iterative process as completed and define its outcome. However, there is almost no research on how students’ conceptions of completed infinite iteration can be refined in a normative direction. Adopting a design research approach, the purpose of this thesis is to develop a local instruction theory for completed infinite iteration. This design entails multiple cycles through phases of development, implementation, and analysis. The study consisted of a sequence of two constructivist teaching experiments conducted with pairs of ii mathematics majors, during which the students worked collaboratively through a variety of infinite iteration tasks. -
When Is .999... Less Than 1?
The Mathematics Enthusiast Volume 7 Number 1 Article 11 1-2010 When is .999... less than 1? Karin Usadi Katz Mikhail G. Katz Follow this and additional works at: https://scholarworks.umt.edu/tme Part of the Mathematics Commons Let us know how access to this document benefits ou.y Recommended Citation Katz, Karin Usadi and Katz, Mikhail G. (2010) "When is .999... less than 1?," The Mathematics Enthusiast: Vol. 7 : No. 1 , Article 11. Available at: https://scholarworks.umt.edu/tme/vol7/iss1/11 This Article is brought to you for free and open access by ScholarWorks at University of Montana. It has been accepted for inclusion in The Mathematics Enthusiast by an authorized editor of ScholarWorks at University of Montana. For more information, please contact [email protected]. TMME, vol. 7, no. 1, p. 3 When is .999... less than 1? Karin Usadi Katz and Mikhail G. Katz0 We examine alternative interpretations of the symbol described as nought, point, nine recurring. Is \an infinite number of 9s" merely a figure of speech? How are such al- ternative interpretations related to infinite cardinalities? How are they expressed in Lightstone's \semicolon" notation? Is it possible to choose a canonical alternative inter- pretation? Should unital evaluation of the symbol :999 : : : be inculcated in a pre-limit teaching environment? The problem of the unital evaluation is hereby examined from the pre-R, pre-lim viewpoint of the student. 1. Introduction Leading education researcher and mathematician D. Tall [63] comments that a mathe- matician \may think -
XML-Based Vector Graphics: Application for Web-Based Design Automation
XML-based Vector Graphics: Application for Web-based Design Automation Julian H. Kang, Texas A&M University, U.S.A. ([email protected]) Byeong-Cheol Lho, Sangji University, Korea ([email protected]) Jeong-Hoon Kim, Kumoh University, Korea (jhk@kkk) Young-No Kim, Texas A&M University, U.S.A. ([email protected]) Summary Most retaining walls and box culverts built for arterial road construction are simple, and the design process of these structures is often repetitive and labor-intensive because they are so similar in structural configuration. Although some integrated design automation systems developed for retaining walls and box culverts have expedited the design process of these structures, the process of collecting and distributing the resultant engineering documents has not been fully integrated with the computer applications. We have been developing a Web-based design automation system to manage the resultant documents as well as to speed up the repetitive design process. Manipulation of engineering drawings in the Web page is one of the critical functions needed for Web-based design automation. eXtensible Markup Language (XML) and XML-based vector graphics are expected to facilitate the representation of engineering drawings in the Web page. In this paper, we present how we used XML and Scalable Vector Graphics (SVG) to compose engineering drawings and represent them in the Web page. XML Data Island we designed to define drawing components turned out effective in manipulating the engineering drawings in the Web page. 1 Introduction Every year, many simple structures such as retaining walls and box culverts are designed for infrastructure development.