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| From | "Andreas Leitgeb" <andreas.leitgeb@1:261/38.remove-x1c-this> |
| Subject | Re: What is the command to do a power of a value |
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| X-Comment-To | Roedy Green |
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| Date | Tue, 31 Jul 2012 20:07:02 GMT |
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To: Roedy Green
From: "Andreas Leitgeb" <andreas.leitgeb@1:261/38.remove-dpk-this>
To: Roedy Green
From: "Andreas Leitgeb" <andreas.leitgeb@1:261/38.remove-rf4-this>
To: Roedy Green
From: Andreas Leitgeb <avl@gamma.logic.tuwien.ac.at>
On Sun, 29 Jul 2012 21:28:11 -0700 (PDT), xvictoryeohx@gmail.com wrote:
> C=L(1+i/100)power of n
x ^ n = exp ( log(x) * n ) | x = (1 + i/100)
= exp ( log( 1 + i/100 ) * n)
= exp ( log1p ( i/100 ) * n)
If you're doing more calculations with same interest-rate but different
periods, then you may want to calculate
double logBase = Math.log1p( i / 100 );
once, and use that for the individual calculations:
C = L * Math.exp( logBase * n )
The gist of this response is, that for the kind of base (1+i/100), you better
separate the pow operation out into log and exp, and actually use log1p on
(i/100) instead of log on (1+i/100) for efficiency's and precision's sake.
For "Math.log1p" see:
http://docs.oracle.com/javase/6/docs/api/java/lang/Math.html#log1p%28double%29
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What is the command to do a power of a value "xvictoryeohx" <xvictoryeohx@1:261/38.remove-x1c-this> - 2012-07-31 20:06 +0000
Re: What is the command to do a power of a value "bugbear" <bugbear@1:261/38.remove-x1c-this> - 2012-07-31 20:07 +0000
Re: What is the command to do a power of a value "glen herrmannsfeldt" <glen.herrmannsfeldt@1:261/38.remove-x1c-this> - 2012-07-31 20:07 +0000
Re: What is the command to do a power of a value "xvictoryeohx" <xvictoryeohx@1:261/38.remove-x1c-this> - 2012-07-31 20:07 +0000
Re: What is the command to do a power of a value "Roedy Green" <roedy.green@1:261/38.remove-x1c-this> - 2012-07-31 20:07 +0000
Re: What is the command to do a power of a value "Andreas Leitgeb" <andreas.leitgeb@1:261/38.remove-x1c-this> - 2012-07-31 20:07 +0000
Re: What is the command to do a power of a value "Patricia Shanahan" <patricia.shanahan@1:261/38.remove-x1c-this> - 2012-07-31 20:07 +0000
Re: What is the command to do a power of a value "Patricia Shanahan" <patricia.shanahan@1:261/38.remove-x1c-this> - 2012-07-31 20:07 +0000
Re: What is the command to do a power of a value "glen herrmannsfeldt" <glen.herrmannsfeldt@1:261/38.remove-x1c-this> - 2012-07-31 20:07 +0000
Re: What is the command to do a power of a value "Patricia Shanahan" <patricia.shanahan@1:261/38.remove-x1c-this> - 2012-07-31 20:07 +0000
Re: What is the command to do a power of a value "Andreas Leitgeb" <andreas.leitgeb@1:261/38.remove-x1c-this> - 2012-07-31 20:07 +0000
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