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What are logarithms?

What are logarithms? Here are some definitions.

Noun
  1. plural of logarithm
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Vega wrote on artillery but he is best remembered for his tables of logarithms and trigonometric functions.
In Book 9 Saunderson presents the binomial theorem and the theory of logarithms.
Other examples are negative numbers, complex numbers, trigonometry, raising to powers, logarithms, and the beginnings of calculus.
They sketch a normalization algorithm, which is based on computing logarithms of transition matrices which they approximate by power series.
We can use arithmetics with different bases, fractions, decimals, logarithms, powers, or simply words.
Brouncker's mathematical achievements includes work on continued fractions and calculating logarithms by infinite series.

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