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Where did the word logarithm come from? Any relation to the word algorithm?

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A great opportunity to make people aware of our sister site English Language and Usage that has a dedicated tag for etymology questions. –  RegDwight May 8 '11 at 11:45
    
I'm leaving this as a comment instead: jeff560.tripod.com/l.html –  Soarer May 8 '11 at 23:23
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up vote 10 down vote accepted

There is no relation between the two words.

logarithm: 1610s, Mod.L. logarithmus, coined by Scottish mathematician John Napier (1550-1617), lit. "ratio-number," from Gk. logos "proportion, ratio, word"

algorithm: was derived from the name of 8th century Persian mathematcian al-Kwarizmi.

Note: I think it's unusual for a term to derive from a person's name, especially in mathematics. I know words like "bowdlerize" (meaning to edit by removing offensive material) from Thomas Bowdler, or a "spoonerism" (a phrase constructed by exchanging syllables between words, eg "Swell foop") named after William Spooner, but in math I believe it's quite rare. The now-standard lowercase "abelian" is perhaps another example.

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Is there any reason it's called a logarithm and not something else? Now I'm curious. –  Leonardo Fontoura May 8 '11 at 4:04
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This: pballew.net/arithme1.html seems to agree. –  Aryabhata May 8 '11 at 4:04
    
@Moron You link was very clarifying. Thank you. –  Leonardo Fontoura May 8 '11 at 4:05
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Well, besides abelian, there's Noetherian, Artinian, Gaussian, Riemannian, Jacobian, Laplacian, Lagrangian, Hamiltonian, d'Alembertian, Eulerian, Lorentzian, Dedekind (as in domain), Hilbert (as in scheme), Jacobson (as in ring)... –  Qiaochu Yuan May 8 '11 at 4:30
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That reminds me... –  J. M. May 8 '11 at 5:38
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