Further Sums Found Through Fourier Series - Comments

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Discussion Overview

The discussion revolves around the exploration of sums found through Fourier series, with participants sharing insights and experiences related to the use of Mathematica in their calculations. The scope includes technical explanations and mathematical reasoning.

Discussion Character

  • Technical explanation, Mathematical reasoning

Main Points Raised

  • Some participants share tips on using LaTeX for better formatting in mathematical expressions.
  • There are multiple references to results obtained using Mathematica, with participants expressing satisfaction when their results align with the software's output.
  • One participant notes a disagreement with Mathematica regarding the sign of an exponent in a formula, indicating a correction to the exponent from n to (n-1).
  • Another participant acknowledges the correction and agrees with Mathematica's assessment of the exponent.

Areas of Agreement / Disagreement

Participants express differing views on the correctness of specific mathematical results, particularly concerning the sign of an exponent, indicating that multiple perspectives exist without a clear consensus.

Contextual Notes

There are indications of unresolved mathematical steps and dependencies on software outputs, as well as potential ambiguities in the expressions discussed.

Svein
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Further Sums Found Through Fourier Series
fourierseries2.png


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Quick Latex pointer: if you write "\left(" and "\right)" instead of "(" and ")" you get parentheses which self-adjust their height.
 
Mathematica gave this:

Sums.png
 
Last edited:
The Electrician said:
Mathematica gave this:
Then Mathematica and I agree. Fine!

For me this is part of the road I am currently going. As long as I am getting correct answers along the way, I am happy.
 
Svein said:
Then Mathematica and I agree. Fine!

For me this is part of the road I am currently going. As long as I am getting correct answers along the way, I am happy.

Did you notice that Mathematica disagrees on the sign of the last one?
 
The Electrician said:
Did you notice that Mathematica disagrees on the sign of the last one?
No, saw it just now. Mathematica is correct, the correct exponent for (-1) should be (n-1), not n.
 

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