Talk:E (mathematics): Difference between revisions
imported>Warren Schudy (New page: {{subpages}} ==Intro== The introduction states that the exponential function is the only function equal to its derivative. This isn't quite right; and constant multiple of the exponentia...) |
imported>David E. Volk |
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The introduction states that the exponential function is the only function equal to its derivative. This isn't quite right; and constant multiple of the exponential function works too. I'll try to find a way to make it correct without being ugly. [[User:Warren Schudy|Warren Schudy]] 17:14, 9 January 2008 (CST) | The introduction states that the exponential function is the only function equal to its derivative. This isn't quite right; and constant multiple of the exponential function works too. I'll try to find a way to make it correct without being ugly. [[User:Warren Schudy|Warren Schudy]] 17:14, 9 January 2008 (CST) | ||
: Corrected. [[User:Olier Raby|Olier Raby]] 05:18, 13 March 2008 (CDT) | |||
== some equations too small == | |||
I suggest reformatting the equations stuck in the text of paragraphs 1 and 4, because they are really to small to be easily read. Also, be sure to indent equations with the use of a leading semicolon or two. [[User:David E. Volk|David E. Volk]] 10:20, 24 February 2008 (CST) | |||
: Done. [[User:Olier Raby|Olier Raby]] 05:18, 13 March 2008 (CDT) | |||
== renaming of this article == | |||
We will need to rename this article because [[User:Ro Thorpe]] is going to make an article about the letter E/e. My immediate thought is to rename it e (exponential base), but input from mathematicians would help. If possible, I would like the primary author to make the move. [[User:David E. Volk|David E. Volk]] 13:25, 29 February 2008 (CST) | |||
I'm not totally happy with "e (exponential base)", but it's the best I've heard so far. This isn't a critical decision; someone who knows how to move subpages should just do it. We can always move it again later if we get a better idea! [[User:Warren Schudy|Warren Schudy]] 14:38, 29 February 2008 (CST) | |||
:I'd suggest [[e (math)]] or [[e (mathematics)]], and make sure Ro puts a disambiguation link to this article at the top of his article about the letter. [[User:Anthony Argyriou|Anthony Argyriou]] 15:54, 29 February 2008 (CST) | |||
:: I moved the article and subpages to [[e (math)]], created the disambiguation page at [[E (disambiguation)]] and made a stub article, with all subpages also for [[E (letter)]]. [[User:David E. Volk|David E. Volk]] 16:37, 29 February 2008 (CST) | |||
::: I believe it is better to name it [[e (mathematics)]]. [[User:Olier Raby|Olier Raby]] 05:19, 13 March 2008 (CDT) | |||
== Is equation missing a summation sign? == | |||
There are many ways to define ''e''. The most common are probably | |||
::<math> e = \lim_{n \rightarrow \infty} (1 + \frac{1}{n})^n</math> | |||
The above equation would have a value of 1 for n=infinity, suggesting that a summation symbol over n is missing. [[User:David E. Volk|David E. Volk]] 09:57, 13 March 2008 (CDT) | |||
: There is no summation symbol in the equation. Compute for instance | |||
::<math> (1 + \frac{1}{1000})^{1000} ~= 2,71692393223...</math> | |||
: and | |||
::<math> (1 + \frac{1}{1000000})^{1000000} ~= 2,71828046931...</math> | |||
: Regards, [[User:Olier Raby|Olier Raby]] 03:30, 14 March 2008 (CDT) | |||
I missed the exponent "n". Thanks for the reply. [[User:David E. Volk|David E. Volk]] 09:06, 14 March 2008 (CDT) |
Latest revision as of 08:06, 14 March 2008
Intro
The introduction states that the exponential function is the only function equal to its derivative. This isn't quite right; and constant multiple of the exponential function works too. I'll try to find a way to make it correct without being ugly. Warren Schudy 17:14, 9 January 2008 (CST)
- Corrected. Olier Raby 05:18, 13 March 2008 (CDT)
some equations too small
I suggest reformatting the equations stuck in the text of paragraphs 1 and 4, because they are really to small to be easily read. Also, be sure to indent equations with the use of a leading semicolon or two. David E. Volk 10:20, 24 February 2008 (CST)
- Done. Olier Raby 05:18, 13 March 2008 (CDT)
renaming of this article
We will need to rename this article because User:Ro Thorpe is going to make an article about the letter E/e. My immediate thought is to rename it e (exponential base), but input from mathematicians would help. If possible, I would like the primary author to make the move. David E. Volk 13:25, 29 February 2008 (CST)
I'm not totally happy with "e (exponential base)", but it's the best I've heard so far. This isn't a critical decision; someone who knows how to move subpages should just do it. We can always move it again later if we get a better idea! Warren Schudy 14:38, 29 February 2008 (CST)
- I'd suggest e (math) or e (mathematics), and make sure Ro puts a disambiguation link to this article at the top of his article about the letter. Anthony Argyriou 15:54, 29 February 2008 (CST)
- I moved the article and subpages to e (math), created the disambiguation page at E (disambiguation) and made a stub article, with all subpages also for E (letter). David E. Volk 16:37, 29 February 2008 (CST)
- I believe it is better to name it e (mathematics). Olier Raby 05:19, 13 March 2008 (CDT)
Is equation missing a summation sign?
There are many ways to define e. The most common are probably
The above equation would have a value of 1 for n=infinity, suggesting that a summation symbol over n is missing. David E. Volk 09:57, 13 March 2008 (CDT)
- There is no summation symbol in the equation. Compute for instance
- and
- Regards, Olier Raby 03:30, 14 March 2008 (CDT)
I missed the exponent "n". Thanks for the reply. David E. Volk 09:06, 14 March 2008 (CDT)