Talk:Logarithm: Difference between revisions

From Citizendium
Jump to navigation Jump to search
imported>Greg Woodhouse
(Notational variants)
imported>Catherine Woodgold
(Extension of logarithms to non-natural number exponents)
Line 20: Line 20:


I added a section on the different notations that are commonly used to indicate the base. It looks a little out of place where I put it, so plese move it if you think there's a better location in the article. [[User:Greg Woodhouse|Greg Woodhouse]] 22:47, 28 April 2007 (CDT)
I added a section on the different notations that are commonly used to indicate the base. It looks a little out of place where I put it, so plese move it if you think there's a better location in the article. [[User:Greg Woodhouse|Greg Woodhouse]] 22:47, 28 April 2007 (CDT)
== Extension of logarithms to non-natural number exponents ==
Re this part:  ''"Rules for adding and multiplying exponents were noticed, and to extend the idea to fractions and negative numbers it was assumed that the same rules would apply."''  This is an intuitive, non-rigourous explanation.  I haven't shown that it's possible to do that in a consistent, meaningful way.  I'm not sure whether I can figure out how to do it rigourously.  Perhaps someone who knows how could help here.  I'd like to keep the intuitively appealing explanation and either fix it up to make it rigourous, or add a rigourous explanation separately, or state that it's not rigourous and tell the reader where to find a rigourous definition/construction of logarithms in a bibliography (which I'm hoping others will eventually supply). --[[User:Catherine Woodgold|Catherine Woodgold]] 07:55, 29 April 2007 (CDT)

Revision as of 07:55, 29 April 2007


Article Checklist for "Logarithm"
Workgroup category or categories Mathematics Workgroup [Categories OK]
Article status Developed article: complete or nearly so
Underlinked article? No
Basic cleanup done? Yes
Checklist last edited by Fredrik Johansson 18:02, 28 April 2007 (CDT)

To learn how to fill out this checklist, please see CZ:The Article Checklist.





Logarithm article

I just wrote this today. It may be a little too elementary. I hope others will add to it and edit it. --Catherine Woodgold 17:09, 28 April 2007 (CDT)

...and check whether my math is correct (thanks, Fredrick Johansson -- and thanks again for the graph!) --Catherine Woodgold 18:44, 28 April 2007 (CDT)

Notational variants

I added a section on the different notations that are commonly used to indicate the base. It looks a little out of place where I put it, so plese move it if you think there's a better location in the article. Greg Woodhouse 22:47, 28 April 2007 (CDT)

Extension of logarithms to non-natural number exponents

Re this part: "Rules for adding and multiplying exponents were noticed, and to extend the idea to fractions and negative numbers it was assumed that the same rules would apply." This is an intuitive, non-rigourous explanation. I haven't shown that it's possible to do that in a consistent, meaningful way. I'm not sure whether I can figure out how to do it rigourously. Perhaps someone who knows how could help here. I'd like to keep the intuitively appealing explanation and either fix it up to make it rigourous, or add a rigourous explanation separately, or state that it's not rigourous and tell the reader where to find a rigourous definition/construction of logarithms in a bibliography (which I'm hoping others will eventually supply). --Catherine Woodgold 07:55, 29 April 2007 (CDT)