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Bürgi constructed a table of progressions what is now understood as antilogarithms [17] independently of John Napier, through a method distinct from Napier's. Napier published his discovery in 1614, and this publication was widely disseminated in Europe by the time Bürgi published at the behest of Johannes Kepler.
Using logarithm tables, tedious multi-digit multiplication steps can be replaced by table look-ups and simpler addition. This is possible because the logarithm of a product is the sum of the logarithms of the factors: log b ( x y ) = log b x + log b y , {\displaystyle \log _{b}(xy)=\log _{b}x+\log _{b}y,} provided that b , x and y ...
The Swiss mathematician Jost Bürgi constructed a table of progressions which can be considered a table of antilogarithms [25] independently of John Napier, whose publication (1614) was known by the time Bürgi published at the behest of Johannes Kepler. We know that Bürgi had some way of simplifying calculations around 1588, but most likely ...
The handbook was originally published in 1928 by the Chemical Rubber Company (now CRC Press) as a supplement (Mathematical Tables) to the CRC Handbook of Chemistry and Physics. Beginning with the 10th edition (1956), it was published as CRC Standard Mathematical Tables and kept this title up to the 29th edition (1991).
Mathematical tables are lists of numbers showing the results of a calculation with varying arguments.Trigonometric tables were used in ancient Greece and India for applications to astronomy and celestial navigation, and continued to be widely used until electronic calculators became cheap and plentiful in the 1970s, in order to simplify and drastically speed up computation.
With John Pell he computed the first table of antilogarithms in the 1630s. [13] John Aubrey, relying on Pell's testimony, states that Warner had claimed to have anticipated William Harvey's discovery of the circulation of the blood, and that Harvey must have heard of it through a Mr Prothero. Pell also mentioned that Warner had been born ...
The primary calculation in GRAPE hardware is a summation of the forces between a particular star and every other star in the simulation. Several versions (GRAPE-1, GRAPE-3 and GRAPE-5) use the logarithmic number system (LNS) in the pipeline to calculate the approximate force between two stars and take the antilogarithms of the x, y and z components before adding them to their corresponding ...
Tables of common logarithms typically listed the mantissa, to four or five decimal places or more, of each number in a range, e.g. 1000 to 9999. The integer part, called the characteristic , can be computed by simply counting how many places the decimal point must be moved, so that it is just to the right of the first significant digit.