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The tables can also be used as a table of Napierian logarithms for positive numbers less than one, using the sine values (Columns 2 and 6) as the argument and the log sine values (Columns 3 and 5) as the resulting logarithm. Reversing the procedure gives anti-logarithms.
Because log(x) is the sum of the terms of the form log(1 + 2 −k) corresponding to those k for which the factor 1 + 2 −k was included in the product P, log(x) may be computed by simple addition, using a table of log(1 + 2 −k) for all k. Any base may be used for the logarithm table. [53]
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 ...
For example, two numbers can be multiplied just by using a logarithm table and adding. These are often known as logarithmic properties, which are documented in the table below. [2] The first three operations below assume that x = b c and/or y = b d, so that log b (x) = c and log b (y) = d. Derivations also use the log definitions x = b log b (x ...
Download as PDF; Printable version; ... Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables, 1964.
As the common log of ten is one, of a hundred is two, and a thousand is three, the concept of common logarithms is very close to the decimal-positional number system. The common log is said to have base 10, but base 10,000 is ancient and still common in East Asia.
List of mathematical topics; List of statistical topics; List of mathematical functions; List of mathematical theorems; List of mathematical proofs; List of matrices; List of numbers; List of relativistic equations; List of small groups; Mathematical constants; Sporadic group; Table of Clebsch-Gordan coefficients; Table of derivatives; Table of ...
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