Why is natural log abbreviated as ln and not nl ?

In summary: Logaritmo decimal (log)In summary, the natural logarithm is abbreviated as "ln" instead of "nl" because it is derived from the Latin term logarithmus naturalis. The notation was first used by American mathematician Irving Stringham in 1893 and the exact meaning behind "ln" is still unknown.
  • #1
sheldonrocks97
Gold Member
66
2
Why is natural log abbreviated as "ln" and not "nl"?

I've been taking calculus for a while now and I was just wondering why natural logarithm is abbreviated as "ln" and not "nl". I'm just curious!
 
Physics news on Phys.org
  • #2
There are many languages that place adjectives after nouns.. I highly doubt the idea was first published in English.
 
  • #3
Hmm... interesting. I actually heard it was from Latin, but I just randomly saw that on the internet.
 
  • #4
Latin has adjectives after nouns.
 
  • #5
sheldonrocks97 said:
I actually heard it was from Latin, but I just randomly saw that on the internet.
Exactly. The "natural logarithm" in English is the logarithmus naturalis in Latin. Back in the day, it was Latin rather than English that was the lingua franca of the technical community.
 
  • #6
1MileCrash said:
Latin has adjectives after nouns.
That post must be your magnum opus. :tongue:

But it's true, Latin has not much in the way of word order. Either way is usually just as good as the other.
 
  • #7
1MileCrash said:
There are many languages that place adjectives after nouns.. I highly doubt the idea was first published in English.

The idea, no. But the notation, yes. The first use of ln is attributed to New York-born Irving Stringham in 1983. This is beyond historical doubt. Nobody has ever found an earlier use of the notation. Stringham got his degree from Harvard and was a professor of math at Berkeley. The notation ln is an American invention all the way.

http://en.wikipedia.org/wiki/Irving_Stringham

The truth of the matter is that nobody knows what ln is intended to mean. Nobody ever wrote down "ln stands for logarithmus naturalis," or "ln stands for Napier's logarithm," or any other explanation. All definitive answers in this thread are idle speculation. Stringham never bothered to explain it.

See also

http://www.pballew.net/arithme1.html#ln for a detailed account of the terminology and notation. That page shows an excerpt from Stringham's 1893 book, in which he states that the natural logarithm is notated "ln" without providing any explanation at all. Could be Latin, could be for Napier, could be anything.
 
Last edited:
  • Like
Likes 1 person
  • #8
SteveL27 said:
The first use of ln is attributed to New York-born Irving Stringham in 1983.

Typo. You mean 1893 when, as you say, his book was published. Good post though.
 
  • #9
In portuguese (my idioma) we speak Logaritmo natural (ln)
 

1. Why is natural log abbreviated as ln and not nl?

The abbreviation "ln" comes from the French term "logarithme naturel," which translates to "natural logarithm." This term was first used by mathematician Leonhard Euler in the 18th century, and the abbreviation "ln" has been widely accepted and used since then.

2. Is there a specific reason why the abbreviation is not "nl"?

There is no specific reason why the abbreviation is not "nl." It is simply a matter of convention and historical usage. The term "natural logarithm" is commonly abbreviated as "ln" in mathematical and scientific literature, and this convention has been followed for centuries.

3. Are there any other abbreviations for natural log?

No, "ln" is the most commonly used and accepted abbreviation for natural log. However, in some programming languages, the function for natural log may be abbreviated as "log" or "logn." Additionally, in some European languages, the abbreviation "ld" may be used, as it stands for "logarithmus naturalis" in Latin.

4. How is the abbreviation "ln" pronounced?

The abbreviation "ln" is pronounced as individual letters, "el-en." Some people may also pronounce it as "lin" or "lon," but "el-en" is the most commonly accepted pronunciation.

5. Are there any other mathematical symbols or concepts that use the abbreviation "ln"?

Yes, the abbreviation "ln" is also commonly used to represent the Laplace transform and the Lie algebra in mathematics. However, in these cases, it stands for different terms and should not be confused with the abbreviation for natural log.

Similar threads

Replies
14
Views
1K
  • Calculus
Replies
7
Views
2K
Replies
3
Views
1K
  • Calculus
Replies
4
Views
2K
  • General Math
2
Replies
44
Views
3K
Replies
12
Views
3K
  • Calculus
Replies
4
Views
1K
Replies
8
Views
147
Back
Top