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Arbitrary Precision Physics Calculation

asked 2012-02-15 08:10:52 -0500

russ_hensel gravatar image

I would like to do some physics problems in high precision. I cannot find any examples or sample worksheets that are accessable on a basic level. I just want real numbers ( including large and small in scientific notation ) I am pretty sure this is not too hard, perhaps it is too simple to be explained? Any help would be appreciated.

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Perhaps it would help if you described one specific problem that you are working on.

Mike Witt gravatar imageMike Witt ( 2012-02-16 08:04:24 -0500 )edit

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answered 2012-02-15 10:07:15 -0500

kcrisman gravatar image

Your question is a little vague. We do have arbitrary (fixed) precision real and complex numbers.

sage: R = RealField(1000)
sage: a = R(5.0000001^5.0000001)
sage: a
3125.00081544945942368940450251102447509765625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
sage: a^5-log(1/a)+e^sqrt(a)
1.89584501327280735942937534086913418233822028367104009709035254982102232998750469378667609600087589163781468732285228512947454542091917091499584315533762570369369905169521733670930846238772029824301668021456411893832087472189344604700518827443459286621575319448702380078978194800389265094467157413734e24

See RealField? for more info.

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By messing around I got my calcs to work, and are consistent with the above. I just find this, and even more the published material a bit abstract, and I was looking for just a bit more. I may publish a worksheet for others in the future which will illustrate these basic features.

russ_hensel gravatar imageruss_hensel ( 2012-02-16 08:05:54 -0500 )edit

That would be great! It's possible there is stuff out there, but I just wasn't sure what you were looking for.

kcrisman gravatar imagekcrisman ( 2012-02-16 15:38:10 -0500 )edit

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Asked: 2012-02-15 08:10:52 -0500

Seen: 427 times

Last updated: Feb 15 '12