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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. -
UNIVERSITY of CALIFORNIA, SAN DIEGO Flips and Juggles A
UNIVERSITY OF CALIFORNIA, SAN DIEGO Flips and Juggles ADissertationsubmittedinpartialsatisfactionofthe requirements for the degree Doctor of Philosophy in Mathematics by Jay Cummings Committee in charge: Professor Ron Graham, Chair Professor Jacques Verstra¨ete, Co-Chair Professor Fan Chung Professor Shachar Lovett Professor Je↵Remmel Professor Alexander Vardy 2016 Copyright Jay Cummings, 2016 All rights reserved. The Dissertation of Jay Cummings is approved, and it is acceptable in quality and form for publication on micro- film and electronically: Co-Chair Chair University of California, San Diego 2016 iii DEDICATION To mom and dad. iv EPIGRAPH We’ve taught you that the Earth is round, That red and white make pink. But something else, that matters more – We’ve taught you how to think. — Dr. Seuss v TABLE OF CONTENTS Signature Page . iii Dedication . iv Epigraph ...................................... v TableofContents.................................. vi ListofFigures ................................... viii List of Tables . ix Acknowledgements ................................. x AbstractoftheDissertation . xii Chapter1 JugglingCards ........................... 1 1.1 Introduction . 1 1.1.1 Jugglingcardsequences . 3 1.2 Throwingoneballatatime . 6 1.2.1 The unrestricted case . 7 1.2.2 Throwingeachballatleastonce . 9 1.3 Throwing m 2ballsatatime. 16 1.3.1 A digraph≥ approach . 17 1.3.2 Adi↵erentialequationsapproach . 21 1.4 Throwing di↵erent numbers of balls at di↵erent times . 23 1.4.1 Boson normal ordering . 24 1.5 Preserving ordering while throwing . 27 1.6 Juggling card sequences with minimal crossings . 32 1.6.1 A reduction bijection with Dyck Paths . 36 1.6.2 A parenthesization bijection with Dyck Paths . 48 1.6.3 Non-crossingpartitions . 52 1.6.4 Counting using generating functions . -
TERRAIN INTELLIGENCE Ifope~}M' Oy QUARTERMASTER SCHOOL Lubflar
MHI tI"Copy ? ·_aI i-,I C'opy 31 77 /; DEPARTMENT OF 'THE ARMY FIELD MANUAL TERRAIN INTELLIGENCE IfOPE~}m' Oy QUARTERMASTER SCHOOL LUBflAR. U.S. ARMY QUA. TZ. MSIR SCL, FORT LEE, VA. 22YOlS ,O.ISTx L.at. : , .S, HEAD QU ARTER S, DEPARTMENT OF T HE ARMY OCTOBER 1967 *FM 30-10 FIELD MANUAL HEADQUARTERS DEPARTMENT OF THE ARMY No. 30-10 I WASHINGTON, D.C., 24 October 1967 TERRAIN INTELLIGENCE CHAPTER 1. INTRODUCTION ..........................-- 1-3 2. CONCEPTS AND RESPONSIBILITIES Section I. Nature of terrain intelligence _____.______ .__. 4-7 II. Responsibilities -. ------------------- 8-11 CHAPTER 3. PRODUCTION OF TERRAIN INTELLIGENCE Section I. Intelligence cycle __ …...__…____-----__-- 12-16 II. Sources and agencies ….................... .--- 17-23 CHAPTER 4. WEATHER AND CLIMATE Section I. Weather ..................................... 24-39 II. Climate -.................................. 40-47 III. Operations in extreme climates _................. 48-50 CHAPTER 5. NATURAL TERRAIN FEATURES Section I. Significance .................................. 51, 52 II. Landforms __________ _------------- ------- 53-61 Drainage............................. 62-69 IV. Nearshore oceanography ................. 70-75 V. Surface materials ............................ 76-81 VI. Vegetation ................................... 82-91 CHAPTER 6. MANMADE TERRAIN FEATURES Section I. Significance -.............................. 92, 93 II. Lines of communication ….................... 94-103 III. Petroleum and natural gas ____. _._______.___ 104-108 IV. Mines, quarries, and pits ….................... 109-112 V. Airfields ----------------------------- 113-115 VI. Water terminals _______…-------- ----------- 116-118 VII. Hydraulic structures -........................ 119-121 VIII. Urban areas and buildings ................... 122-128 IX. Nonurban areas ___ _--------------------- 129-131 CHAPTER 7. MILITARY ASPECTS OF THE TERRAIN Section I. Military use of terrain _....._________._____._ 132-139 Ii. Special operations ......................... 140, 141 III. -
Reflections and Exchanges for Circus Arts Teachers Project
REFLections and Exchanges for Circus arts Teachers project INTRODUCTION 4 REFLECT IN A NUTSHELL 5 REFLECT PROJECT PRESENTATION 6 REFLECT LABS 7 PARTNERS AND ASSOCIATE PARTNERS 8 PRESENTATION OF THE 4 LABS 9 Lab #1: The role of the circus teacher in a creation process around the individual project of the student 9 Lab #2: Creation processes with students: observation, analysis and testimonies based on the CIRCLE project 10 Lab #3: A week of reflection on the collective creation of circus students 11 Lab #4: Exchanges on the creation process during a collective project by circus professional artists 12 METHODOLOGIES, ISSUES AND TOOLS EXPLORED 13 A. Contributions from professionals 13 B. Collective reflections 25 C. Encounters 45 SUMMARY OF THE LABORATORIES 50 CONCLUSION 53 LIST OF PARTICIPANTS 54 Educational coordinators and speakers 54 Participants 56 FEDEC Team 57 THANKS 58 2 REFLections and Exchanges for Circus arts Teachers project 3 INTRODUCTION Circus teachers play a key role in passing on this to develop the European project REFLECT (2017- multiple art form. Not only do they possess 2019), funded by the Erasmus+ programme. technical and artistic expertise, they also convey Following on from the INTENTS project (2014- interpersonal skills and good manners which will 2017)1, REFLECT promotes the circulation and help students find and develop their style and informal sharing of best practice among circus identity, each young artist’s own specific universe. school teachers to explore innovative teaching methods, document existing practices and open up These skills were originally passed down verbally opportunities for initiatives and innovation in terms through generations of families, but this changed of defining skills, engineering and networking. -
Comprehensive Security Analyses of a Toys-To-Life Game and Possible Countermeasures Master Thesis - July 2016
Comprehensive security analyses of a toys-to-life game and possible countermeasures Master thesis - July 2016 Author Kevin Valk Radboud University [email protected] Supervisor Supervisor Second reader Robert Leyland Lejla Batina Eric Poll Radboud University Radboud University [email protected] [email protected] Abstract This thesis aims at modeling important attacks on a toys-to-life game using attack-defense trees. Using these trees, different practical attacks are executed to verify the current coun- termeasures and find possible new exploits. One critical exploit led to a binary dump of the firmware, which made it possible to reverse the key derivation algorithm. This led to breaking the security layer that protected the toys. With the key derivation algorithm known, toys could be forged for under a dollar and made it possible to search for unreleased toys and variants. Given the possible attacks, numerous countermeasures are presented to protect games against these attacks and improve general security. The foremost countermeasure is the addi- tion of digital signatures to the toys. This countermeasure makes it infeasible to forge toys. However, this does not stop 1-on-1 clones, but concepts are explored to protect against 1-on-1 clones in the future using Physical Unclonable Function (PUF). 1 Contents 1 Introduction 4 2 Background 5 2.1 Attack Trees.......................................5 2.1.1 Basic attack-defense trees............................5 2.1.2 Quantitative analysis...............................6 2.2 Public-key cryptography.................................6 2.3 Near Field Communication...............................7 2.3.1 MIFARE Classic.................................7 2.3.2 MIFARE Classic knockoff tags.........................8 3 Threat model 10 4 Attacks 14 4.1 Proxmark III...................................... -
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. -
The University of Chicago Sentient Atmospheres A
THE UNIVERSITY OF CHICAGO SENTIENT ATMOSPHERES A DISSERTATION SUBMITTED TO THE FACULTY OF THE DIVISION OF THE HUMANITIES IN CANDIDACY FOR THE DEGREE OF DOCTOR OF PHILOSOPHY DEPARTMENT OF ENGLISH LANGUAGE AND LITERATURE BY JEFFREY HAMILTON BOGGS CHICAGO, ILLINOIS JUNE 2016 Copyright © 2016 by Jeffrey Hamilton Boggs All rights reserved Table of Contents ACKNOWLEDGEMENTS ........................................................................................................... iv INTRODUCTION .......................................................................................................................... 1 I. ATMOSPHERE IN LATE LATE JAMES ............................................................................... 21 II. “WE HAD THE AIR”: THE ATMOSPHERIC FORM OF THE VIETNAM WAR .............. 48 III. THIS IS AIR: THE ATMOSPHERIC POLITICS OF DAVID FOSTER WALLACE ......... 87 IV. NARRATING THE ANTHROPOCENE: THE ATMOSPHERIC COMEDY ................... 120 CODA: PLANETARY AIR ....................................................................................................... 150 BIBLIOGRAPHY ....................................................................................................................... 160 iii ACKNOWLEDGEMENTS I am grateful to the members of my dissertation committee for their unwavering support throughout the course of my academic progress. Bill Brown embodies the very best of the intellectual culture of the University of Chicago. He combines a big mind with a highly refined sensibility, exquisite taste -
2009–2010 Season Sponsors
2009–2010 Season Sponsors The City of Cerritos gratefully thanks our 2009–2010 Season Sponsors for their generous support of the Cerritos Center for the Performing Arts. YOUR FAVORITE ENTERTAINERS, YOUR FAVORITE THEATER If your company would like to become a Cerritos Center for the Performing Arts sponsor, please contact the CCPA Administrative Offices at (562) 916-8510. THE CERRITOS CENTER FOR THE PERFORMING ARTS (CCPA) thanks the following CCPA Associates who have contributed to the CCPA’s Endowment Fund. The Endowment Fund was established in 1994 under the visionary leadership of the Cerritos City Council to ensure that the CCPA would remain a welcoming, accessible, and affordable venue in which patrons can experience the joy of entertainment and cultural enrichment. For more information about the Endowment Fund or to make a contribution, please contact the CCPA Administrative Offices at (562) 916-8510. Benefactor Audrey and Rick Rodriguez Yvonne Cattell Renee Fallaha $50,001-$100,000 Marilynn and Art Segal Rodolfo Chacon Heather M. Ferber José Iturbi Foundation Kirsten and Craig M. Springer, Joann and George Chambers Steven Fischer Ph.D. Rodolfo Chavez The Fish Company Masaye Stafford Patron Liming Chen Elizabeth and Terry Fiskin Charles Wong $20,001-$50,000 Wanda Chen Louise Fleming and Tak Fujisaki Bryan A. Stirrat & Associates Margie and Ned Cherry Jesus Fojo The Capital Group Companies Friend Drs. Frances and Philip Chinn Anne Forman Charitable Foundation $1-$1,000 Patricia Christie Dr. Susan Fox and Frank Frimodig Richard Christy National Endowment for the Arts Maureen Ahler Sharon Frank Crista Qi and Vincent Chung Eleanor and David St. -
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). -
Analysis and Visualization of Collective Motion in Football Analysis of Youth Football Using GPS and Visualization of Professional Football
UPTEC F 15068 Examensarbete 30 hp December 2015 Analysis and visualization of collective motion in football Analysis of youth football using GPS and visualization of professional football Emil Rosén Abstract Analysis and visualization of collective motion in football Emil Rosén Teknisk- naturvetenskaplig fakultet UTH-enheten Football is one of the biggest sports in the world. Professional teams track their player's positions using GPS (Global Positioning System). This report is divided into Besöksadress: two parts, both focusing on applying collective motion to football. Ångströmlaboratoriet Lägerhyddsvägen 1 Hus 4, Plan 0 The goal of the first part was to both see if a set of cheaper GPS units could be used to analyze the collective motion of a youth football team. 15 football players did two Postadress: experiments and played three versus three football matches against each other while Box 536 751 21 Uppsala wearing a GPS. The first experiment measured the player's ability to control the ball while the second experiment measured how well they were able to move together as Telefon: a team. Different measurements were measured from the match and Spearman 018 – 471 30 03 correlations were calculated between measurements from the experiments and Telefax: matches. Players which had good ball control also scored more goals in the match and 018 – 471 30 00 received more passes. However, they also took the middle position in the field which naturally is a position which receives more passes. Players which were correlated Hemsida: during the team experiment were also correlated with team-members in the match. http://www.teknat.uu.se/student But, this correlation was weak and the experiment should be done again with more players. -
WORKSHOP SCHEDULE IJA Festival, Sparks, Nevada, July 26 - August 1, 2010
WORKSHOP SCHEDULE IJA Festival, Sparks, Nevada, July 26 - August 1, 2010. For updates, see http://www.juggle.org/festival Tuesday, July 27 8:00am Joggling Competition 9:00am IJA College Credit Meeting -- Don Lewis 10:00am 3 Club Tricks -- Don Lewis (BEG) 10:00am Siteswap 101 -- Chase Martin (and Jordan Campbell) 10:00am Stretching and Increasing Your Flexibility -- Corey White 11:00am Blind Thows & Catches -- Thom Wall 11:00am Five Balls the Easy Way -- Dave Finnigan 11:00am Jammed Knot Knotting Jam -- John Spinoza 12:00pm 3/4 Ball Freezes -- Matt Hall 12:00pm Basic Hoop Juggling Technique -- Carter Brown 12:00pm Poi -- Sam Malcolm (BEG) 1:00pm Special Workshop -- Kris Kremo 1:00pm 180's/360's/720's -- Josh Horton & Doug Sayers 1:00pm Club Passing Routine -- Cindy Hamilton 1:00pm Tennis Ball/Can Breakout -- Dan Holzman 2:00pm Intro to Ball Spinning -- Bri Crabtree 2:00pm Multiplex Madness for Passing -- Poetic Motion Machine 3:00pm Fun/Simple Club Passing Patterns for 3/4/5 -- Louis Kruk 3:00pm 2 Diabolo Fundamentals and Combos -- Ted Joblin 3:00pm Kendama -- Sean Haddow (BEG/INT) 4:00pm Beginning Contact Juggling -- Kyle Johnson 4:00pm Diabolo Fundamentals -- Chris Garcia (BEG-ADV) Wednesday, July 28 9:00am IJA College Credit Meeting -- Don Lewis 9:00am YEP 1: Basic Techniques of Teaching Juggling -- Kim Laird 10:00am 3 Ball Esoterica -- Jackie Erickson (BEG/INT) 10:00am 5 Ball Tricks -- Doug Sayers & Josh Horton (INT/ADV) 10:00am YEP 2: How To Develop a Youth Program -- Kim Laird 11:00am Claymotion -- Jackie Erickson 11:00am Scaffolding: