Thesis (M.S.)--University of Wisconsin -- La Crosse, 1998. / Includes bibliographical references (leaves 45-47).

There are several ways to describe juggling patterns mathematically using combinatorics and algebra. In my thesis I use these ideas to build a new system using braid groups. A new kind of graph arises that helps describe all braids that can be juggled.

International Telemetering Conference Proceedings / October 23-26, 2000 / Town & Country Hotel and Conference Center, San Diego, California / One of the beauties of mathematics is its ability to demonstrate the relationship between apparently unrelated subjects. And this is not only an aesthetic attribute. The insight obtained by seeing relations where they are not obvious often leads to elegant solutions to difficult problems. This paper will demonstrate a mathematical relation between telemetry and juggling. Any given pulse code modulation (PCM) format can be mapped onto a juggling pattern. The Inter-Range Instrumentation Group (IRIG) 106 Class I PCM formats are a subset of all juggling patterns while the Class II PCM formats are equivalent to the set of all juggling patterns (within some mathematically precise definitions). There are actually quite a few mathematical results regarding juggling patterns. This paper will also discuss how these topics relate to tessellations, bin packing, PCM format design, and dynamic spectrum allocation. One of the shortcomings of human nature is the tendency to get caught up in a particular topic or viewpoint. This is true of the telemetry community as well. It is hoped that this paper will increase the awareness that there are a variety of areas of theory outside of telemetry that may be applicable to the field.

Title: The mathematical theory of juggling Author: Bc. Michal Zamboj Department: Department of Mathematics Education Supervisor: RNDr. Antonín Slavík, Ph.D. Abstract: This diploma thesis extends the bachelor thesis of the same name. It deals with the graphic representation of juggling sequences by the cyclic diagram. Using the Burnside theorem and cyclic diagrams, we calculate the number of all genera- tors of juggling sequences. The relation between juggling and the theory of braids is described as well. The mathematical model of inside and outside throws is made from an empirical observation of trajectories of balls. Braids of juggling sequences and their attributes are provided using a real model of ladder. A sketch of the proof of the theorem that any braid is juggleable is given as well.

Juggling can be both a recreational activity that provides a wide variety of challenges to participants and an art form that can be performed on stage. Non-learning-based computer vision techniques, depth sensors, and accelerometers have been used in the past to augment these activities. These solutions either require specialized hardware or only work in a very limited set of environments. In this project, a 54 000 frame large video dataset of annotated juggling was created and a convolutional neural network was successfully trained that could locate the balls and hands with high accuracy in a variety of environments. The network was sufficiently light-weight to provide real-time inference on CPUs. In addition, the locations of the balls and hands were recorded for thirty-six common juggling pattern, and small neural networks were trained that could categorize them almost perfectly. By building on the publicly available code, models and datasets that this project has produced jugglers will be able to create interactive juggling games for beginners and novel audio-visual enhancements for live performances.

Thesis. 1976. Ph.D.--Massachusetts Institute of Technology. Dept. of Electrical Engineering and Computer Science. / Microfiche copy available in Archives and Engineering. / Bibliography: leaves 414-421. / Ph.D.

Tema: Šokis su ugnimi kaip prevencijos priemonė 12 – 18 Tyrimo problema – Kaip vaikams iš socialinės rizikos šeimų, stokojantiems socialinių įgūdžių, šokis su ugnimi gali padėti tokius įgūdžius susiformuoti? Tyrimo objektas – rizikos grupės vaikų požiūris į šokį su ugnimi kaip meninės saviraiškos priemonę. Tyrimo tikslas – ištirti kokį poveikį turi šokis su ugnimi vaikų socialinių įgūdžių tobulėjimui. Tyrimo uždaviniai: 1. Aptarti meninio ugdymo sampratą ugdant socialinės rizikos grupės vaikus 2. Išanalizuoti šokio ir žongliravimo ugnimi meno reikšmę bei naudą asmenybės formavimuisi. 3. Ištirti kaip šokio su ugnimi praktiniai užsiėmimai gali padėti rizikos grupės vaikams lengviau adaptuotis prie aplinkos. 4. Ištirti šokio su ugnimi studiją lankančių vaikų socialinių įgūdžių pokyčius po pirmojo pasirodymo. Tyrimo hipotezė – meninis ugdymas stiprina vaikų pasitikėjimą savimi bei adaptavimosi visuomenėje įgūdžius. Išanalizavus mokslinę literatūrą ir atlikus tyrimą, prieita prie šių išvadų: 1. Išanalizavus mokslinę literatūrą, galime teigti, kad šokiai su ugnimi daro teigiamą įtaką rizikos grupės vaikams. Įskiepytas noras tobulėti ir ugdyti save bei ilgos ir sunkios valandos treniruočių salėje – morališkai ir fiziškai sustiprėję vaikai. Daug laiko ir pastangų buvo skirta meniniam vaikų ugdymui: asmenybės tobulinimui, bendravimo įgūdžių gerinimui, kultūros mokymui, disciplinai. 2. Darbo metu grupėje pastebėti kardinalūs pokyčiai vaikų elgesyje: pakilusi savivertė... [toliau žr. visą tekstą] / Research problem – can arts education, or at this point dancing and juggling with fire be an effective preventive mesure for children at risk? The subject of the research – how children at risk adapt to the environment. The objective of the research – analyze how dancing with fire affects the improvement of an individual. Tasks of the research: 1. Analyze the concept of arts education and how it can be used in life. 2. Analyze the meaning and the benefits of the art of dancing and juggling with fire. 3. Examine how practice of dancing with fire can help children at risk easier to adapt to the environment. 4. Select and prepare a team of children that would appear in a full performance. The hypothesis of the research: arts education strengthins childrens confidence and skills to adapt to the society By analyzing scientific literature and the results of the research these conclusions have been made: 1. Teachers and parents must be able to educate children`s personality through arts education. 2. Juggling increases brain power and develops logical thinking. 3. Arts education helps children at risk develope abilities such as freedom of expression, discipline, basic features of culture, self – esteem and respect to others, imagination. Which they didn‘t have the opportunity to get from their families. 4. Practicing dancing with fire helped develope these skills: 2. Self confidence and trust to others; 3. Quick desicion – making in stressfull situations; 4. Responsibility... [to full text]

The diploma thesis is a part of the project Intelligent double arm juggling machine. The project is divided into two diploma thesis. This thesis deals with the motion control of juggling arms. Information about hardware and software resources used in this project is in the first part of thesis. There is explanation of the control loop, explanation of used communication protocols and implementation of program proceeding in the second part of thesis.