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arc length example

Synonym: 
logarithm of sine function
Type of Math Object: 
Example
Major Section: 
Reference
Parent: 

Mathematics Subject Classification

26B15 no label found

Comments

Hi, I would like to add a pstricks graph to
http://planetmath.org/encyclopedia/ArcLengthExample.html
but I cannot implement for it the logarithm operator. Who could help?
Jussi

Can you say a little more about what you are trying to do and what is not working?

Roger

Dear Roger,
It seems that pstricks don't know the logarithm operators "ln" and "log". I have now made a simple test code in the entry -- you can see that logarithms don't work. Other operators, as "sin", "exp" etc., function well.
Jussi

Actually, if you look at the error messages closely, you will see that the problem is not with pstricks (PostScript does have a "ln" operator), but rather PM's automatic linking to the word "ln" is interfering. So you can just suppress the automatic linking and the diagram will work.

Steve

// Steve

Steve, you are fully right -- thank you very much!
I still wonder why the system doesn't allow to continue the logsin curve to the interval [Pi/2, Pi].
Regards,
Jussi

P. S. -- How about your German project?

> Steve, you are fully right -- thank you very much!
> I still wonder why the system doesn't allow to continue the
> logsin curve to the interval [Pi/2, Pi].

Sorry, no idea.

> P. S. -- How about your German project?

Unfortunately, I haven't got time. Incidentally the two other software developers in my group both speak German, and one is a Finn (PhD from Courant Institute); Jussi --- you are from Finland too right?

Something that might be interesting to PM'ers: Recently I've been working on optimized computations of transcendental functions, like exp, ln, normal cdf inverse, for use in Monte Carlo simulations (to value financial instruments). We found the implementations of the functions in system libraries were too slow, and because of our environment, the non-open-source replacements from CPU vendors were unsuitable. Knowing nothing about the subject, I had to dig up some research papers, and made notes. Hopefully, with permission, I will be able to publish them.

// Steve

Yes, I'm from Finland.

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