Difference between symbolic and numeric calculation on imaginary unit

Difference between symbolic and numeric calculation on imaginary unit - Expression (1/i)*(1/i) , symbolic result "1", numeric result "-1" - Messages

#1 Posted: 11/28/2012 5:11:37 AM
Gossage

Gossage

0 likes in 1 posts.

Group: User

Hello,

I try to calculate "(1/i)*(1/i)" either in symbolic and numeric method and I get "1" and "-1" respectively.

Note that this problem does not appear with the expression "(1/i^2)".

In attachment a simple .sm file to illustrate the bug.

Best regards,
Gossage
bug_imag.sm (2 KiB) downloaded 65 time(s).
#2 Posted: 11/28/2012 12:57:33 PM
Radovan Omorjan

Radovan Omorjan

325 likes in 2052 posts.

Group: Moderator

Hello Gossage,

I just can confirm this.
Have no explanation of this, except that this is definitely a bug.

Regards,
Radovan
When Sisyphus climbed to the top of a hill, they said: "Wrong boulder!"
#3 Posted: 11/28/2012 6:49:45 PM
Diego Jarrín

Diego Jarrín

7 likes in 14 posts.

Group: User

There are other problems with the symbolic interpretation.
Did you tried to compute sin(-4*pi/3) and sin(2*pi/3) in the numeric and symbolic methods?
symbolictrouble.sm (17 KiB) downloaded 80 time(s).
Ecuadorian Electronic engineer and MBA student at Salesian Polytechnic University.
#4 Posted: 11/29/2012 5:11:21 PM
Martin Kraska

Martin Kraska

1222 likes in 2150 posts.

Group: Moderator

Hi

These examples just illustrate the known fact that the SMath symbolic engine is unreliable. Currently, it is not safe to use it. The Numeric engine seems to be more reliable, thus it's usage can be recommended.

What to do if you need symbolic calculations? There is a plugin that communicates with a dos version of maple and is much more powerful than the SMath internal engine. However, the plugin is not localization-safe, i.e. if argument delimiter is set to semicolon ;

I would like SMath to be an 2D document interface to maxima, which has all the math (including units) one would need but lacks the MathCad like document interface.

Best regards, MK
Martin Kraska Pre-configured portable distribution of SMath Studio: https://en.smath.info/wiki/SMath%20with%20Plugins.ashx
#5 Posted: 4/30/2013 6:18:04 PM
Andrey Ivashov

Andrey Ivashov

2271 likes in 3734 posts.

Group: Super Administrator

Fixed.
1 users liked this post
Radovan Omorjan 4/30/2013 6:21:00 PM
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