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calculation

mathematics

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molecular structure

  • crystal bonding
    In chemical bonding: Computational approaches to molecular structure

    In the semiempirical approach, the calculation draws on a number of experimentally determined characteristics to help in the overall calculation. In the ab initio approach, the calculation proceeds from first principles (the Schrödinger equation) and makes no use of imported information. The former approach was dominant in the 1970s, but…

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numerical

  • Babylonian mathematical tablet
    In mathematics: Numerical calculation

    The development of new methods of numerical calculation was a response to the increased practical demands of numerical computation, particularly in trigonometry, navigation, and astronomy. New ideas spread quickly across Europe and resulted by 1630 in a major revolution in numerical practice.

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Key People:
Charles Xavier Thomas de Colmar
Related Topics:
calculator

Arithmometer, early calculating machine, built in 1820 by Charles Xavier Thomas de Colmar of France. Whereas earlier calculating machines, such as Blaise Pascal’s Pascaline in France and Gottfried Wilhelm von Leibniz’s Step Reckoner in Germany, were mere curiosities, with the Industrial Revolution came a widespread need to perform repetitive operations efficiently. With other activities being mechanized, why not calculation? De Colmar effectively met this challenge when he built his Arithmometer, the first commercial mass-produced calculating device. Based on Leibniz’s technology, it could perform addition, subtraction, multiplication, and, with some more elaborate user involvement, division. It was extremely popular and sold for 90 years. In contrast to the modern calculator’s credit-card size, the Arithmometer was large enough to cover a desktop.

Paul A. Freiberger Michael R. Swaine