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By Jean-Luc Chabert, C. Weeks, Evelyne Barbin, J. Borowczyk, M. Guillemot, A. Michel-Pajus, A. Djebbar, Jean-Claude Martzloff

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The improvement of computing has reawakened curiosity in algorithms. usually ignored through historians and sleek scientists, algorithmic approaches were instrumental within the improvement of basic principles: perform ended in idea simply up to the opposite direction around. the aim of this publication is to supply a historic historical past to modern algorithmic perform.

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Additional info for A History of Algorithms: From the Pebble to the Microchip

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00011001100 for 1110 means that the identity (I/I0) x 10 = 1 is no longer satisfied. In order to improve the ability of the computer to handle numbers, another representation is used, also using a floating point. The floating point separates the binary word into two parts: the mantissa, containing the significant bits, and the exponent, which indicates the position of the binary point. But there are also other ways of representing a number. The binary word can be grouped into threes, with each of the three bits representing a number from 0 to 7, or it can be grouped into fours, with each group representing a number from 0 to 15.

La Disme was first published in Flemish in 1585, then in French in the same year. The work was republished many times in its original Flemish, and also in French and in English. Being experienced in many different areas of practical mathematics, Stevin proposed the elimination of fractions, called broken numbers, and using "an invented arithmetic using the progression of tens, to deal with all the affairs of astronomers, surveyors, cloth merchants, engravers, measurers, mint-masters, and all merchants in general".

Magic squares are not confined to books: many were engraved on monuments, on medallions and metal plaques, on goblets, and on cups and plates, made of copper or porcelain. Some of these magic squares have an interesting history, providing us with concrete evidence of the movement of objects and 'ideas between time and 2 Magic Squares 51 place. For example, a magic square from the time of the Mongols, engraved on an iron plaque in Arabic symbols (Fig. 2), supports the theory that the Chinese borrowed this mathematical technique from the Islamic world.

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