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A difference machine (English difference engines) is a mechanical computer for the release of polynomialer Funktionen.Da each constantly differentiable function by a polynomial to be approximated can, is clearly more versatile applicable so a machine, than it has first the appearance.

History

First of these devices became 1786 of J.H. Mueller developed, it was however never built. A further forerunner of an adding machine was Leibniz' relay roller machine from that 17. Century, which was inspired of the Pascaline for its part, which had developed Blaise Pascal 1642. The concepts came into oblivion. 1822 was revived it by Charles Babbage. A prototype, which could compute square functions, was finished placed 1832. This machine used the decimal system and by the rotation of a crank was propelled. The British government financed the project first, stopped the support however later.

Function mode

The difference machine could only add. Subtraction, multiplication and division as well as more complex computations could be accomplished only to that extent, as far as it is possible to attribute it by mathematical tricks to a series of additions.

After Babbage had developed the concept of its clearly more versatile analytic machine, he turned again and sketched themselves between 1847 and 1849 an improved model, the Difference engine No. 2 to the difference machines. This could not be carried out however at that time because of the insufficient technical possibilities. It was appropriate to 7 for it, polynomials. To compute degree on 31 places. Only between 1989 and 1991 in London Science museum the Difference engine No. 2 functionally one copied. 2000 were finished placed the printer likewise sketched by Babbage. Both devices work perfectly.

Lively of Babbages drafts George and Edward Scheutz in Stockholm from 1834 to 1858 built different Differenzmaschinen.Eine of it to the British government were sold.

See also

  • The difference machine

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