Meaning of a mathematical symbol?

  • Context: Mathematica 
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    Mathematical Symbol
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Discussion Overview

The discussion revolves around the interpretation of a mathematical symbol encountered in a movie, specifically within the context of equations displayed on a blackboard. Participants explore whether the notation is meaningful or simply fictional, with a focus on infinite sums and related mathematical concepts.

Discussion Character

  • Exploratory, Conceptual clarification, Debate/contested

Main Points Raised

  • One participant notes a notation \left( \frac{1}{2} \right)^3_n seen in a movie and questions its validity, expressing uncertainty about its meaning.
  • Another participant suggests that the notation could represent a Legendre/Jacobi/Kronecker symbol raised to the third power, but doubts its relevance due to the subscript.
  • There is a consideration that without the subscript, the expression could simply equal (1/2)^3 = 1/8, but questions the context in which it would be used.
  • A participant expresses skepticism about the equations being real, indicating they appeared nonsensical but acknowledges the need for further verification.
  • Another participant expresses interest in seeing the equations to determine their validity, indicating a willingness to engage further if they are indeed legitimate.

Areas of Agreement / Disagreement

Participants generally agree that the notation appears questionable, with no consensus on its meaning or validity. Multiple competing views remain regarding its potential interpretations.

Contextual Notes

The discussion is limited by the lack of context surrounding the notation and the absence of a complete representation of the equations from the movie.

uart
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Ok first a warning, this may be completely bogus as it was a symbol (or actually a notation) that I didn't recognize in a blackboard full of equations from a stupid "teen" movie. It may have been completely meaningless.

I was visiting a friend today and her daughter was playing a DVD of some dumb kids/teen movie. One thing caught my eye when they showed the "geeks" working at a blackboard full of infinite sum type identities. Curiosity got the better of me and I got here to pause it to so I could take a look and see if they were real identities or just gibberish (as equations in the background on blackboards in movies sometimes are).

Well I wasn't able to tell if they were gibberish or not because there was one bit of notation in all the equations that I'm not familiar with. As part of an infinite sum over "n" it had terms like,

[tex]\left( \frac{1}{2} \right)^3_n[/tex].

Does anyone recognize that or is it just nonsense?
 
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[tex]\left( \frac{1}{2} \right)^3[/tex] could be a Legendre/Jacobi/Kronecker symbol, raised to the third power... but there's no reason for it to be cubed if there's just a 1 in the upper part, so combined with the subscript which I can't figure out, it's probably nothing.

Of course if not for the subscript it could also be (1/2)^3 = 1/8, but there's be no reason to do that in a loop.
 
Thanks for the reply. Ok then it looks like the equations were just nonsense. They definitely looked like nonsense but I couldn't be sure since I didn't recognize that part of the notation. If I get a chance to see this DVD again I'll write down one of the "identies" in full and post it here for a laugh.
 
Yeah, I'd like to see them. If they end up being real equations that I just didn't recognize we can have a laugh about that too. :rolleyes:
 

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