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Offline jas0nuk  
#1 Posted : 15 March 2009 03:03:14(UTC)
jas0nuk


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Posts: 12
Location: UK

Hi
Thank you for an excellent piece of software. Definitely the best Windows Mobile calculator I have found.
However I think I have found a slight issue with imaginary numbers

(-1)^(1/2) should give the answer as i
However it seems to add a small real number to the answer, giving

Code:
(-1)^(1/2) = 6.123*10^{-17} + i


Additionally, squaring i gives
Code:
 i^2 = -1 + 1.2246*10^{-16}*i

which should be -1
Code:
2*i^2=-4+4.8984*10^{-16}*i

should be -4, etc.

Regards

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Offline Andrey Ivashov  
#2 Posted : 16 March 2009 04:23:52(UTC)
Andrey Ivashov


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Joined: 11/07/2008(UTC)
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Man
Russian Federation

Was thanked: 1978 time(s) in 666 post(s)
This is not an issue. This is normal calculation errors of numeric methods. Please, take a look to the picture below:

This hapens because Mathcad, by default, shows all numbers, that less than 10^(-15) as 0. But SMath Studio doesn't do so - that's why you can see proper results in the similar examples... and that's why your finding is not an issue...
Offline jas0nuk  
#3 Posted : 16 March 2009 05:03:46(UTC)
jas0nuk


Rank: Member

Groups: Registered
Joined: 15/03/2009(UTC)
Posts: 12
Location: UK

So, it's a by-product of calculating imaginary numbers numerically.

Thanks for the explanation.
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