Download Apollonius de Perge: Coniques, Tome 3: Livre V. Commentaire by Roshdi Rashed PDF

By Roshdi Rashed

Mit dem funften Buch der Kegelschnitte erreicht die antike Mathematik einen Hohepunkt. Apollonius fuhrt darin die erste bekannte Theorie der Maxima- und Minima-Linien aus, die von den Mathematikern zu Beginn des 10. und vor allem des 17. Jahrhunderts wieder aufgegriffen wurde. Ebenso wie die folgenden beiden Bucher VI und VII ist dieses Buch, dessen griechische Original-Fassung verloren ist, nur in der arabischen Ubersetzung erhalten, die im nine. Jahrhundert in Bagdad erstellt wurde.
Der Leser findet in diesem Band eine im wahrsten Wortsinn kritische version des funften Buches der Kegelschnitte von Apollonius, eine strenge und wortgetreue Ubersetzung, sowie eine so vielseitige und ausfuhrliche historische und mathematische Kommentierung, wie sie die Erschlieung eines solch gewichtigen Zeugnisses erfordert.

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Additional info for Apollonius de Perge: Coniques, Tome 3: Livre V. Commentaire historique et mathématique, édition et traduction du texte arabe

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285-299. Hassan, F. A. (1978). Sediments in archaeology: Methods and implications for palaeoenvironmental and cultural analysis. Journal of Field Archaeology 5, pp. 197-213. Kontogiorgos, D, Leontitsis, A. (2005). Micro-artefacts weight estimation by Genetic Algorithm minimisation, Journal of Archaeological Science 32, pp. 1275-1282. , and Narihisa, H. (2001). The efficiency of hybrid mutation genetic algorithm for the travelling salesman problem. Mathematical and Computer Modelling 31, pp. 197-203.

3 shows the microartifacts weight percentages. 1. Discrepancies between actual sub-sample weight values and the estimated subsample weight values from the data obtained from the data-base. Test again for the Optimum! 45 Discrepancies may be observed between the actual sub-sample weight values (d) and the estimated values (Cx). These discrepancies have to be relatively small. 1 presents the discrepancies between actual sub-sample weight values and the estimated sub-sample weight values from the data obtained from the database.

45 Discrepancies may be observed between the actual sub-sample weight values (d) and the estimated values (Cx). These discrepancies have to be relatively small. 1 presents the discrepancies between actual sub-sample weight values and the estimated sub-sample weight values from the data obtained from the database. 5. CONCLUSIONS This study explored once again the use of Genetic Algorithms as an option for estimating the weights of microartifacts and the corresponding confidence intervals. The method achieved to estimate mean microartifact weight by minimizing the discrepancies caused may be due to the variation in the depositional and post-depositional disturbances on different types of archaeological sediments and contexts.

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