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標題: Titlebook: Looking at Numbers; Tom Johnson,Franck Jedrzejewski Book 2014 Springer Basel 2014 nature.platonic.symmetry [打印本頁]

作者: Bunion    時間: 2025-3-21 16:38
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Book 2014hemselves as they fall into networks of permutations or form loops that synchronize at different speeds, or attach themselves to balls passing in and out of the hands of good jugglers. Numbers are, after all, a part of nature. As such, looking at and thinking about them is a way of understanding our
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Clarinet Trio,ways to do this. If you don’t believe me, or if you want to know how this was calculated (and if you are not a specialist, you probably don’t), you can consult his article in the ., No. 22 (2000) [5].
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作者: 補助    時間: 2025-3-22 21:41
Permutations,mber in one of these drawings represents a particular note in a particular composition, but all the numbers here represent a particular point in some sort of logical sequence, in some system of permutations or combinations, in some network of sets and subsets.
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,Kirkman’s Ladies, A Combinatorial Design,f my “counting music”, even simpler ones, but I was always interested in finding new directions in all this. One new direction presented itself quite unexpectedly in 2003, when I heard a piece by a young Dutch composer, Samuel Vriezen. Using a scale of only 11 notes, Vriezen constructed 11 five-note
作者: 同步信息    時間: 2025-3-23 11:24
(9,4,3),ugh that one should be able to see how it works, and since by definition each pair occurs three times in three different blocks of four, all that is necessary is to write out the 36 pairs and connect each pair with the three other pairs that form one of the 18 blocks of the system. I could imagine a
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作者: 起草    時間: 2025-3-23 18:45
Loops,, but I’ve written an awful lot of musical loops, and there are a great many ways of doing this. Most of the loops we’ll be discussing here might better be called “rhythmic canons”, a term introduced in . in 1991-1992 in an article by the Rumanian mathematician and music theorist Dan Tudor Vuza. Bas
作者: WAG    時間: 2025-3-23 23:20
Juggling,s in the most obvious ways. After learning to throw three balls, keeping each one in the air for three beats, jugglers went on to four balls, keeping each one in the air for four beats, and then on to higher and higher throws with more and more balls or plates or bowling pins or whatever. The result
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Book 2014 patterns he finds while “l(fā)ooking at numbers” can also be explored in drawings. This book focuses on such drawings, their beauty and their mathematical meaning. The accompanying comments were written in collaboration with the mathematician Franck Jedrzejewski..?.
作者: BOAST    時間: 2025-3-24 16:37
Tom Johnson,Franck JedrzejewskiMathematics and music from a platonic point of view.Numbers as Pythagoras might have seen them.Numbers producing images and music too ?.Includes supplementary material:
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Permutations,mber in one of these drawings represents a particular note in a particular composition, but all the numbers here represent a particular point in some sort of logical sequence, in some system of permutations or combinations, in some network of sets and subsets.
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https://doi.org/10.1007/978-1-0716-2289-6Central nervous system; BBB interface; Peripheral immune cell restriction; Brain microvascular endothel
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Rewards and Retention: Why do volunteers stay?, attitudes and attributes influenced decisions to volunteer. In this chapter, we look at retention – what makes people stay (or not) in organisations once they have taken the decision to become involved.
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Assessing Applicants: The Care Rulesafter the completion of their cancer therapy, some will be left afterward with azoospermia, a severe form of male fertility impairment. Over the ensuing months and years following the completion of cancer treatment, some of these patients will have return of sperm to the ejaculate. For those who do
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Strategische Betrachtung von IMCel, .. The protagonist Lucy Snowe, a young woman in her mid-twenties, is situated in between, on the one hand, two teenage girls and, on the other hand, two middle-aged women, who between them represent four different models of fashionable femininity. Lucy’s oscillation between attraction and repuls
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Peter Herriots and framework, practical use cases and more. Main contents of this book derive from most updated technical achievements or breakthroughs in the field. A number of representative IoT service offerings will be covered by this book, such as vehicular networks, document sharing system, and telehealth.
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Helge Gro?hans,Saibal Chatterjeeners, and medical examiners.Includes general topics not typi.Forensic Pathology for Police, Death Investigators, Attorneys, and Forensic Scientists is a forensic pathology book specifically written for professionals who interact with forensic pathologists. The book includes sections that address var
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Kevin Luongs in basic biological understanding into a practical clinica.Melanoma is an increasingly important public health problem. Although the cause of most malignant melanomas – over-exposure to ultraviolet light – is well known, effective treatment has remained challenging..The past several years have bee
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Vessel Trajectory Segmentation: A Surveyk of vessel trajectory segmentation identifies the typical sub-trajectory segments in the vessel trajectories, which are recognized as natural, interpretable, and meaningful basic vessel behaviors. Consequently, vessel trajectory segmentation is essential for machine learning and recommendation in t
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A Holistic Approach for Developing and Commissioning Data Driven CPPS Functionality in Manufacturing Systems,ter interactions. Hence, the manufacturing processes themselves and especially monitoring and controlling those processes becomes increasingly complex. Currently developed Cyber-Physical Production Systems (CPPS) shall comprise data acquisition by sensors, connected actuators, communication function
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Emerging Concepts in Treating Cartilage, Osteochondral Defects, and Osteoarthritis of the?Knee and Am basic science research and tissue engineering and regenerative medicine approaches. This work addresses the state of the art concerning basic science comparing the knee and ankle as well as current options for treatment. Furthermore, the most promising research developments promising new options for the future are discussed.
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Basic Principles of Model Building,al characteristics and locations. Furthermore, a part of this system, the vestibular system, is specialized for detecting head acceleration and its movement relative to the gravitational field. Combined with information on the state of the neck, which determines the position of the head relative to
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L. Pietronerohe case for state of necessity in economic collaboration. Legal and criminological concepts circulated between legal professionals who had been organized in international associations since the 1930s and who were confronted with similar problems caused by the occupation, such as the re-education of
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Kazumi Maki additionto an up-to-date overview of the various areas and fields of activity in restoration ecology and ecosystem restoration, the textbook provides a valuable basis for studies, science, and practice. The st978-3-662-65660-0978-3-662-65658-7
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Accelerated Plant Breeding, Volume 1ics of the major hematopoietic lineages in mammals (rats, mice) exposed to acute and chronic irradiation in wide ranges of doses and dose rates. The developed models are capable of reproducing the radiosensitivity modifications of the major hematopoietic lineages, which are induced by low-level sing
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