Math software that allows for working in different counting schemes?

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Discussion Overview

The discussion revolves around the use of mathematical software for performing calculations in different counting schemes, specifically focusing on modular arithmetic, particularly mod 2. Participants explore the capabilities of various software tools and address challenges related to calculations involving matrices and eigenvalues in this context.

Discussion Character

  • Technical explanation, Debate/contested

Main Points Raised

  • One participant inquires about software that can perform calculations mod 2, expressing a preference for free options.
  • Another participant notes that all programming languages can handle mod arithmetic and suggests that mod 2 calculations are straightforward, questioning the need for specialized software.
  • A participant mentions difficulties in calculating eigenvalues of a mod 2 matrix, specifically encountering decimals and uncertainty about converting them to mod 2.
  • A later reply asserts that decimals should not arise in mod 2 calculations and implies that the participant may be using incorrect methods.

Areas of Agreement / Disagreement

Participants express differing views on the necessity of specialized software for mod 2 calculations, with some asserting that standard programming capabilities are sufficient. There is also disagreement regarding the handling of decimals in the context of mod 2 arithmetic, indicating unresolved issues in the calculations presented.

Contextual Notes

There are indications of missing assumptions regarding the methods used for calculating eigenvalues and the relationship between decimals and mod 2 results, which remain unresolved in the discussion.

Coolphreak
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for example...is there some software that will let me do all my calculations mod 2 or something? free software would be preferable

thank you
 
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What kind of 'calculations' do you mean? All programming languages do mod arithmetic. Mod 2 arithmetic is very easy - there are only 2 elements in the field. Why would you need any help with that? You can also do any calculations as integers, and then reduce mod 2.

If you really want free software, then GAP and PARI (I think that's free) will do interesting things over finite fields.
 
well, my problem is,when calculating eigenvalues of a mod 2 (only 1 and 0) matrix, I'm getting decimals. I'm not sure how to convert decimals to mod 2.
 
Then you're doing something wrong, like using the wrong methods in the wrong place. There is no meaningful sense in which decimals are related to mod 2 results. And as I've explained elsewhere, the only roots mod 2 are 0 and 1 so this is a trivial check.
 

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