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| Topic: |
Science
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| Number of pages / Number of words: |
2 / 549 |
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Napier chose that because the difference of two logarithms determines the ratio of the numbers they represent, so that an arithmetic series of logarithms corresponds to a geometric series of numbers. The term antilogarithm was introduced in the late 17th century and, while never used extensively in mathematics, persisted in collections of tables until they fell into disuse...
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For interpolation purposes and ease of calculation, it is useful to make the ratio r in the geometric series close to 1. Napier chose r = 1 - 10?7 = 0.999999 (Burgi chose r = 1 + 10?4 = 1.0001). Napier's original logarithms did not have log 1 = 0 but rather log 107 = 0. Thus if N is a number and L is its logarithm as calculated by Napier, N = 107(1 ? 10?7)L...
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General points of the essay
History Of Logarithms
Application of numbers - Goal Difference
Arithmetic vs. Geometric Means: Empirical
Numbers
Fibonacci Numbers
Strength in Numbers
the correct use of numbers
Index Numbers
Blinding Numbers
Greek numbers
Numbers in sports
Proportions Of Numbers And Magnitudes
Ath Technologies Inc.: Making The Numbers
Gensis Exodus Numbers Summeries
Pythagoras: A Universe Made of Numbers
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