Madison Area Jugglers Pattern Book V1.2
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How to Juggle the Proof for Every Theorem an Exploration of the Mathematics Behind Juggling
How to juggle the proof for every theorem An exploration of the mathematics behind juggling Mees Jager 5965802 (0101) 3 0 4 1 2 (1100) (1010) 1 4 4 3 (1001) (0011) 2 0 0 (0110) Supervised by Gil Cavalcanti Contents 1 Abstract 2 2 Preface 4 3 Preliminaries 5 3.1 Conventions and notation . .5 3.2 A mathematical description of juggling . .5 4 Practical problems with mathematical answers 9 4.1 When is a sequence jugglable? . .9 4.2 How many balls? . 13 5 Answers only generate more questions 21 5.1 Changing juggling sequences . 21 5.2 Constructing all sequences with the Permutation Test . 23 5.3 The converse to the average theorem . 25 6 Mathematical problems with mathematical answers 35 6.1 Scramblable and magic sequences . 35 6.2 Orbits . 39 6.3 How many patterns? . 43 6.3.1 Preliminaries and a strategy . 43 6.3.2 Computing N(b; p).................... 47 6.3.3 Filtering out redundancies . 52 7 State diagrams 54 7.1 What are they? . 54 7.2 Grounded or Excited? . 58 7.3 Transitions . 59 7.3.1 The superior approach . 59 7.3.2 There is a preference . 62 7.3.3 Finding transitions using the flattening algorithm . 64 7.3.4 Transitions of minimal length . 69 7.4 Counting states, arrows and patterns . 75 7.5 Prime patterns . 81 1 8 Sometimes we do not find the answers 86 8.1 The converse average theorem . 86 8.2 Magic sequence construction . 87 8.3 finding transitions with flattening algorithm . -
IJA Enewsletter Editor Don Lewis (Email: [email protected]) Renew At
THE INTERNATIONAL JUGGLERS’ ASSOCIATION June 2015 IJA eNewsletter editor Don Lewis (email: [email protected]) Renew at http://www.juggle.org/renew IJA eNewsletter IJA Festival July 20 - 26, 2015 Quebec City, QC, Canada Register online soon! Discounts on Contents: Event Packages end June 30! IJA Pre-Reg Deadline Only Days Away Full info is on our website: Chairman’s Message www.juggle.org/festival IJA Election - New, Vote Online! Candidates’ Statements After June 30th, Stage Championships Finalists Register in Person at the Festival IJA Festival Information Online IJA Fest’s Special Guests See fest details starting on page 4, Festival Checklist where the Championships Finalists are listed! WJD shirts, YJA badges in IJA Store What’s New at eJuggle Coming Soon to eJuggle... Juggling Festivals Juggling Festivals: Lincolnshire, UK Eugene, OR Quebec City, Quebec, Canada (IJA) Collinée en Bretagne, France Bruneck, South Tyrol, Italy (EJC) Montpeyroux, France Garsington, Oxfordshire, UK Cleveland, OH Portland, OR Kansas City, MO Philadelphia, PA Fukushima, Japan Ottumwa, IA WWW.JUGGLE.ORG Page 1 THE INTERNATIONAL JUGGLERS’ ASSOCIATION June 2015 Chairman’s Message, by Nathan Wakefield - Obstacle course: $500 - Waterballoon slip and slide: $200 - Drinks and flair bartender: $200 - Onsite massage therapist: $1,000 - Cardboard box castle building contest: $60 - Pinata filled with juggling props: $250 - Tye Dye $60 "To render assistance to fellow jugglers." - Food. $1,630 and the remainder of any additional funds. Special thanks to donor Unna Med and all those who Less than one month until the 2015 IJA Festival in contributed towards this fund of awesomeness! Quebec City! It's been a long road of hard work for our festival team If logistics is an issue for you, we have rideboards and officers, but everything is in place for this year's available on both our festival forum and on Facebook. -
Inspiring Mathematical Creativity Through Juggling
Journal of Humanistic Mathematics Volume 10 | Issue 2 July 2020 Inspiring Mathematical Creativity through Juggling Ceire Monahan Montclair State University Mika Munakata Montclair State University Ashwin Vaidya Montclair State University Sean Gandini Follow this and additional works at: https://scholarship.claremont.edu/jhm Part of the Arts and Humanities Commons, and the Mathematics Commons Recommended Citation Monahan, C. Munakata, M. Vaidya, A. and Gandini, S. "Inspiring Mathematical Creativity through Juggling," Journal of Humanistic Mathematics, Volume 10 Issue 2 (July 2020), pages 291-314. DOI: 10.5642/ jhummath.202002.14 . Available at: https://scholarship.claremont.edu/jhm/vol10/iss2/14 ©2020 by the authors. This work is licensed under a Creative Commons License. JHM is an open access bi-annual journal sponsored by the Claremont Center for the Mathematical Sciences and published by the Claremont Colleges Library | ISSN 2159-8118 | http://scholarship.claremont.edu/jhm/ The editorial staff of JHM works hard to make sure the scholarship disseminated in JHM is accurate and upholds professional ethical guidelines. However the views and opinions expressed in each published manuscript belong exclusively to the individual contributor(s). The publisher and the editors do not endorse or accept responsibility for them. See https://scholarship.claremont.edu/jhm/policies.html for more information. Inspiring Mathematical Creativity Through Juggling Ceire Monahan Department of Mathematical Sciences, Montclair State University, New Jersey, USA -
Happy Birthday!
THE THURSDAY, APRIL 1, 2021 Quote of the Day “That’s what I love about dance. It makes you happy, fully happy.” Although quite popular since the ~ Debbie Reynolds 19th century, the day is not a public holiday in any country (no kidding). Happy Birthday! 1998 – Burger King published a full-page advertisement in USA Debbie Reynolds (1932–2016) was Today introducing the “Left-Handed a mega-talented American actress, Whopper.” All the condiments singer, and dancer. The acclaimed were rotated 180 degrees for the entertainer was first noticed at a benefit of left-handed customers. beauty pageant in 1948. Reynolds Thousands of customers requested was soon making movies and the burger. earned a nomination for a Golden Globe Award for Most Promising 2005 – A zoo in Tokyo announced Newcomer. She became a major force that it had discovered a remarkable in Hollywood musicals, including new species: a giant penguin called Singin’ In the Rain, Bundle of Joy, the Tonosama (Lord) penguin. With and The Unsinkable Molly Brown. much fanfare, the bird was revealed In 1969, The Debbie Reynolds Show to the public. As the cameras rolled, debuted on TV. The the other penguins lifted their beaks iconic star continued and gazed up at the purported Lord, to perform in film, but then walked away disinterested theater, and TV well when he took off his penguin mask into her 80s. Her and revealed himself to be the daughter was actress zoo director. Carrie Fisher. ©ActivityConnection.com – The Daily Chronicles (CAN) HURSDAY PRIL T , A 1, 2021 Today is April Fools’ Day, also known as April fish day in some parts of Europe. -
Fargo Convention Well Worth the Journey
August 1980 Vol. 32 No. 5 Membership—1,200 1981 Convention Site—Cleveland, OH, Case Western Reserve University Fargo convention well worth the journey In anticipation of sharing talent and watching jugglers in the crowded party room witti the promise Benefit shows for crowds at the NDSU student some of the best jugglers in North America at work, of greater support if the IJA would return to Fargo union, the Red River Mall, a Shrine club and a 475 people trekked through mid July heat to Faigo, nextyear. Reaction was not positive, and conven- nursing home demonstrated IJA’s appreciation ND, site of the 33rd IJA annual convention, tioneers later voted Cleveland. OH, as the 1981 for the hospitality, There, close by the geographical center of the site (see page 6). The convention ran smoothly, and largely on time. continent, they witnessed the basics—like 3-ball High-rise lodging contained two-story foyer areas and 5-club cascades—and the outer limits of jug that were ideal for juggling. The university food gling skill, as demonstrated by Michael Kass’s prize service fed 165 jugglers three times day, and cater winning performance of club kick-ups. The same ed a pleasant outdcxar "buffalo" barbeque at Troll- lure of communion with fellow jugglers has drawn wood Park on Saturday. this group together annually since 1947, when The Saturday morning parade included many the founding fathers formed the group during a other area groups, and was aired by NBC news convention of the international Brotherhood of on a late-night broadcast. -
Class of 1965 50Th Reunion
CLASS OF 1965 50TH REUNION BENNINGTON COLLEGE Class of 1965 Abby Goldstein Arato* June Caudle Davenport Anna Coffey Harrington Catherine Posselt Bachrach Margo Baumgarten Davis Sandol Sturges Harsch Cynthia Rodriguez Badendyck Michele DeAngelis Joann Hirschorn Harte Isabella Holden Bates Liuda Dovydenas Sophia Healy Helen Eggleston Bellas Marilyn Kirshner Draper Marcia Heiman Deborah Kasin Benz Polly Burr Drinkwater Hope Norris Hendrickson Roberta Elzey Berke Bonnie Dyer-Bennet Suzanne Robertson Henroid Jill (Elizabeth) Underwood Diane Globus Edington Carol Hickler Bertrand* Wendy Erdman-Surlea Judith Henning Hoopes* Stephen Bick Timothy Caroline Tupling Evans Carla Otten Hosford Roberta Robbins Bickford Rima Gitlin Faber Inez Ingle Deborah Rubin Bluestein Joy Bacon Friedman Carole Irby Ruth Jacobs Boody Lisa (Elizabeth) Gallatin Nina Levin Jalladeau Elizabeth Boulware* Ehrenkranz Stephanie Stouffer Kahn Renee Engel Bowen* Alice Ruby Germond Lorna (Miriam) Katz-Lawson Linda Bratton Judith Hyde Gessel Jan Tupper Kearney Mary Okie Brown Lynne Coleman Gevirtz Mary Kelley Patsy Burns* Barbara Glasser Cynthia Keyworth Charles Caffall* Martha Hollins Gold* Wendy Slote Kleinbaum Donna Maxfield Chimera Joan Golden-Alexis Anne Boyd Kraig Moss Cohen Sheila Diamond Goodwin Edith Anderson Kraysler Jane McCormick Cowgill Susan Hadary Marjorie La Rowe Susan Crile Bay (Elizabeth) Hallowell Barbara Kent Lawrence Tina Croll Lynne Tishman Handler Stephanie LeVanda Lipsky 50TH REUNION CLASS OF 1965 1 Eliza Wood Livingston Deborah Rankin* Derwin Stevens* Isabella Holden Bates Caryn Levy Magid Tonia Noell Roberts Annette Adams Stuart 2 Masconomo Street Nancy Marshall Rosalind Robinson Joyce Sunila Manchester, MA 01944 978-526-1443 Carol Lee Metzger Lois Banulis Rogers Maria Taranto [email protected] Melissa Saltman Meyer* Ruth Grunzweig Roth Susan Tarlov I had heard about Bennington all my life, as my mother was in the third Dorothy Minshall Miller Gail Mayer Rubino Meredith Leavitt Teare* graduating class. -
Juggling – 15013000/15013100 HOPE PE 1506320G
Course: Juggling – 15013000/15013100 HOPE PE 1506320G Credit for Graduation: 1.0 Credit – HOPE elective credit / Physical Education Credit Pre-requisite: Desire to explore and develop the skill set needed for juggling. Description: Expectations: The purpose of this course is to provide students Students will be expected to embrace the many with the knowledge, skills, and values they need to challenges involved in developing a unique skill become healthy and physically active for a lifetime. set. In addition to developing skills with assorted This course addresses both the health and skill- props, students will be expected to learn about related components of physical fitness which are the greater juggling community, learning theory, critical for students' success. The SAIL juggling program exists to promote self-expression and to prop building, routine development etc. encourage creativity. Students will have the Participation and movement are key components opportunity to form new friendships and develop for being successful in this course. skills that will last a lifetime. In addition to conventional ball, club and ring juggling, students will be exposed to a plethora of props likely including but not limited to unicycle, cigar box manipulation, rolla bolla, contact juggling, card throwing, throw top, yo-yo, diabolo, hacky sack, passing, kendama and ball spinning. Resources/Materials: Assorted jugging equipment Website: https://www.leonschools.net/Domain/2453 Course: Juggling 15013000 / 15013000 HOPE PE: #15063200 Credit for Graduation: 1.0 Credit - HOPE elective credit Pre-requisite: Description: Expectations: HOPE PE: The purpose of this course is to develop and enhance healthy behaviors that influence lifestyle choices and student health and fitness. -
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Cairns, John William (1976) The strength of lapped joints in reinforced concrete columns. PhD thesis. http://theses.gla.ac.uk/1472/ Copyright and moral rights for this thesis are retained by the author A copy can be downloaded for personal non-commercial research or study, without prior permission or charge This thesis cannot be reproduced or quoted extensively from without first obtaining permission in writing from the Author The content must not be changed in any way or sold commercially in any format or medium without the formal permission of the Author When referring to this work, full bibliographic details including the author, title, awarding institution and date of the thesis must be given Glasgow Theses Service http://theses.gla.ac.uk/ [email protected] THE STRENGTHOF LAPPEDJOINTS IN REINFORCEDCONCRETE COLUMNS by J. Cairns, B. Sc. A THESIS PRESENTEDFOR THE DEGREEOF DOCTOROF PHILOSOPHY Y4 THE UNIVERSITY OF GLASGOW by JOHN CAIRNS, B. Sc. October, 1976 3 !ý I CONTENTS Page ACKNOWLEDGEIvIENTS 1 SUMMARY 2 NOTATION 4 Chapter 1 INTRODUCTION 7 Chapter 2 REVIEW OF LITERATURE 2.1 Bond s General 10 2.2 Anchorage Tests 12" 2.3 Tension Lapped Joints 17 2.4 Compression Lapped Joints 21 2.5 End Bearing 26 2.6 Current Codes of Practice 29 Chapter 3 THEORETICALSTUDY OF THE STRENGTHOF LAPPED JOINTS 3.1 Review of Theoretical Work on Bond Strength 32 3.2 Theoretical Studies of Ultimate Bond Strength 33 3.3 Theoretical Approach 42 3.4 End Bearing 48 3.5 Bond of Single Bars Surrounded by a Spiral 51 3.6 Lapped Joints 53 3.7 Variation of Steel Stress Through a Lapped Joint 59 3.8 Design of Experiments 65 Chapter 4 DESCRIPTION OF EXPERIMENTALWORK 4.1 General Description of Test Specimens 68 4.2 Materials 72 4.3 Fabrication of Test Specimens 78 4.4 Test Procedure 79 4.5 Instrumentation 80 4.6 Push-in Test Specimens 82 CONTENTScontd. -
Siteswap-Notes-Extended-Ltr 2014.Pages
Understanding Two-handed Siteswap http://kingstonjugglers.club/r/siteswap.pdf Greg Phillips, [email protected] Overview Alternating throws Siteswap is a set of notations for describing a key feature Many juggling patterns are based on alternating right- of juggling patterns: the order in which objects are hand and lef-hand throws. We describe these using thrown and re-thrown. For an object to be re-thrown asynchronous siteswap notation. later rather than earlier, it needs to be out of the hand longer. In regular toss juggling, more time out of the A1 The right and lef hands throw on alternate beats. hand means a higher throw. Any pattern with different throw heights is at least partly described by siteswap. Rules C2 and A1 together require that odd-numbered Siteswap can be used for any number of “hands”. In this throws end up in the opposite hand, while even guide we’ll consider only two-handed siteswap; numbers stay in the same hand. Here are a few however, everything here extends to siteswap with asynchronous siteswap examples: three, four or more hands with just minor tweaks. 3 a three-object cascade Core rules (for all patterns) 522 also a three-object cascade C1 Imagine a metronome ticking at some constant rate. 42 two juggled in one hand, a held object in the other Each tick is called a “beat.” 40 two juggled in one hand, the other hand empty C2 Indicate each thrown object by a number that tells 330 a three-object cascade with a hole (two objects) us how many beats later that object must be back in 71 a four-object asynchronous shower a hand and ready to re-throw. -
Understanding Siteswap Juggling Patterns a Guide for the Perplexed by Greg Phillips, [email protected]
Understanding Siteswap Juggling Patterns A guide for the perplexed by Greg Phillips, [email protected] Core rules (for all patterns) Synchronous siteswap (simultaneous throws) C1 We imagine a metronome ticking at some constant rate. Some juggling patterns involve both hands throwing at the Each tick is called a “beat.” same time. We describe these using synchronous siteswap. C2 We indicate each thrown object by a number that tells us how many beats later that object must be back in a hand S1 The right and left hands throw at the same time (which and ready to re-throw. counts as two throws) on every second beat. We group C3 We indicate a sequence of throws by a string of numbers the simultaneous throws in parentheses and separate the (plus punctuation and the letter x). We imagine these hands with commas. strings repeat indefinitely, making 531 equivalent to S2 We indicate throws that cross from hand to hand with an …531531531… So are 315 and 153 — can you see x (for ‘xing’). why? C4 The sum of all throw numbers in a siteswap string divided Rules C2 and S1 taken together demand that there be only by the number of throws in the string gives the number of even numbers in valid synchronous siteswaps. Can you see objects in the pattern. This must always be a whole why? The x notation of rule S2 is required to distinguish number. 531 is a three-ball pattern, since (5+3+1)/3 patterns like (4,4) (synchronous fountain) from (4x,4x) equals three; however, 532 cannot be juggled since (synchronous crossing). -
The Search for the "Manchurian Candidate" the Cia and Mind Control
THE SEARCH FOR THE "MANCHURIAN CANDIDATE" THE CIA AND MIND CONTROL John Marks Allen Lane Allen Lane Penguin Books Ltd 17 Grosvenor Gardens London SW1 OBD First published in the U.S.A. by Times Books, a division of Quadrangle/The New York Times Book Co., Inc., and simultaneously in Canada by Fitzhenry & Whiteside Ltd, 1979 First published in Great Britain by Allen Lane 1979 Copyright <£> John Marks, 1979 All rights reserved. No part of this publication may be reproduced, stored in a retrieval system, or transmitted in any form or by any means, electronic, mechanical, photocopying, recording or otherwise, without the prior permission of the copyright owner ISBN 07139 12790 jj Printed in Great Britain by f Thomson Litho Ltd, East Kilbride, Scotland J For Barbara and Daniel AUTHOR'S NOTE This book has grown out of the 16,000 pages of documents that the CIA released to me under the Freedom of Information Act. Without these documents, the best investigative reporting in the world could not have produced a book, and the secrets of CIA mind-control work would have remained buried forever, as the men who knew them had always intended. From the documentary base, I was able to expand my knowledge through interviews and readings in the behavioral sciences. Neverthe- less, the final result is not the whole story of the CIA's attack on the mind. Only a few insiders could have written that, and they choose to remain silent. I have done the best I can to make the book as accurate as possible, but I have been hampered by the refusal of most of the principal characters to be interviewed and by the CIA's destruction in 1973 of many of the key docu- ments. -
The Alaska Eskimos
THEALASKA ESKIMOS A SELECTED, AN NOTATED BIBLIOGRAPHY Arthur E. Hippler and John R. Wood Institute of Social and Economic Research University of Alaska Standard Book Number: 0-88353-022-8 Library of Congress Catalog Card Number: 77-620070 Published by Institute of Social and Economic Research University of Alaska Fairbanks, Alaska 99701 1977 Printed in the United States of America PREFACE This Report is one in a series of selected, annotated bibliographies on Alaska Native groups that is being published by the Institute of Social and Economic Research. It comprises annotated references on Eskimos in Alaska. A forthcoming bibliography in this series will collect and evaluate the existing literature on Southeast Alaska Tlingit and Haida groups. ISER bibliographies are compiled and written by institute members who specialize in ethnographic and social research. They are designed both to support current work at the institute and to provide research tools for others interested in Alaska ethnography. Although not exhaustive, these bibliographies indicate the best references on Alaska Native groups and describe the general nature of the works. Lee Gorsuch Director, ISER December 1977 ACKNOWLEDGEMENTS A number of people are always involved in such an undertaking as this. Particularly, we wish to thank Carol Berg, Librarian at the Elmer E. Rasmussen Library, University of Alaska, whose assistance was invaluable in obtaining through interlibrary loans, many of the articles and books annotated in this bibliography. Peggy Raybeck and Ronald Crowe had general responsibility for editing and preparing the manuscript for publication, with editorial and production assistance provided by Susan Woods and Kandy Crowe. The cover photograph was taken from the Henry Boos Collection, Archives and Manuscripts, Elmer E.