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Modify search criterions Results n° 1 to 8 of 12 matches Read the article
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| Title |
Orally transmitted mathematics |
| Author |
CHEMILLIER Marc |
| Keywords |
Asymmetric rhythms, Cognition, Divination, Ethnomathematics, Musical canon, Sand drawing |
| Topics |
Anthropology - Ethnology, Discrete Mathematics, Drawing, Music |
| Abstract |
Ethnomathematics is a new domain studying mathematical structures in particular activities of traditional societies. The main difficulty in this approach is to establish a link between formal structures, studied « in laboratory », and mental representations of native people, as they can be observed during fieldworks. We describe these difficulties in different situations: visual arts, music, divination. In the latter case, we present the results of fieldworks done in Madagascar where mathematical mental representations of native people have been discovered |
| Number |
178, Summer 2007, special issue: Art, mathematics, language and emotion |
| Language |
French | Read the article
| Title |
Is the evolution of jazz described by a log periodic law? |
| Author |
BRISSAUD Ivan |
| Keywords |
Fractals, Jazz, Log periodicity law, Temporal tree structure |
| Topics |
Fractal, Modelling, Music, Time Series, Trees |
| Abstract |
The evolution of different phenomena in biology, society, economy, human development. can be described by series of cycles and leaps. Many authors adjust a log periodic behavior to these chronologies. Here, we suggest applying such a model to the Jazz steps (Archaic Jazz, New Orleans, Jazz Hot, Swing.). In this case we show an acceleration of the cycles up to a critical time at the middle of the fifties (so called "Cool Jazz" epoch) before a deceleration corresponding to an increasing influence of African, South American. musics over the Jazz. We find a significant agreement between the model and the data. In conclusion a question remains: is a chronology of historical evolution predictable? |
| Number |
178, Summer 2007, special issue: Art, mathematics, language and emotion |
| Language |
French | Read the article
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| Title |
"Biosemiotic" approach of the Temporal Semiotic Units |
| Author |
TIMSIT-BERTHIER Martine |
| Keywords |
Biosemiotic, Movement control, Temporal Semiotic Units |
| Topics |
Biology, Cognitive Sciences, Music, Psychology, Semiology |
| Abstract |
We study the relations between a concept from musical cognition (the Temporal Semiotic Units) and concepts from psychophysiology of movements. |
| Number |
178, Summer 2007, special issue: Art, mathematics, language and emotion |
| Language |
French | Read the article
| Title |
Mathematics and literature: an article with some mathematics and literature |
| Author |
AUDIN Michèle |
| Keywords |
Aragon, Arnault Daniel, Chess board, Constraint, Group, Latin square, Magic square, Oulipo, Perec Georges, Queneau Raymond, Roubaud Jacques, Sextine |
| Topics |
Literature, Modelling |
| Abstract |
We remind the readers of several ways writers have used mathematical constraints and structures, from the Middle Ages to the present times. Then, from the structure of a group with four elements, we produce a text. |
| Number |
178, Summer 2007, special issue: Art, mathematics, language and emotion |
| Language |
French | Read the article
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