What is the meaning of this: {x,0,0}/|x|^3 = (20^7, 50^6) ?

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Discussion Overview

The discussion revolves around the expression "{x,0,0}/|x|^3" and its evaluation, particularly in the context of its output from a computational tool like Wolfram Alpha. Participants are seeking to understand the nature of the function, the meaning of the resulting values, and the underlying calculations that lead to those results.

Discussion Character

  • Exploratory, Technical explanation, Conceptual clarification, Debate/contested

Main Points Raised

  • One participant questions the meaning of the expression "{x,0,0}/|x|^3" and its output, asking for clarification on the function and the origin of the resulting numbers.
  • Another participant emphasizes the need for context to make sense of the notation, suggesting that understanding where the expression came from is crucial.
  • Repeated inquiries focus on how Mathematica arrived at the specific output values (5*10^6 to 2*10^7) and request detailed steps for the calculation.
  • Some participants note that the plot generated includes a legend indicating the range of x values used in the evaluation.

Areas of Agreement / Disagreement

Participants generally agree on the need for clarification regarding the expression and its evaluation. However, there is no consensus on the meaning or the calculations involved, as the discussion remains unresolved.

Contextual Notes

Participants have not provided specific definitions or assumptions regarding the notation used in the expression, which may affect the interpretation of the results. The steps leading to the output values remain unspecified.

Who May Find This Useful

This discussion may be useful for individuals interested in mathematical expressions, computational evaluations, and the interpretation of results from software tools like Mathematica.

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What is the meaning of this: {x,0,0}/|x|^3 = (20^7, 50^6) ??

When I plug in this "{x,0,0}/|x|^3", here: http://www.wolframalpha.com/

...it plots some range for x=-1 to x=+1, and it plots values from 5*10^6 to 2*10^7.

What does that mean and where did those numbers come from? What is it that I wrote, what kind of function is that? What is the meaning of the result? What did Mathematica do? What is the actual calculation behind this, how can I obtain those numbers with pen and paper, what are the steps?
 
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If you don't know what you wrote, then I don't see how anyone else can make sense of it. Where did you see "{x, 0, 0}/|x|^3= (20^7, 50^6}"? Knowing the context might help us understand the notation.
 


HallsofIvy said:
If you don't know what you wrote, then I don't see how anyone else can make sense of it. Where did you see "{x, 0, 0}/|x|^3= (20^7, 50^6}"? Knowing the context might help us understand the notation.

I wrote this: {x, 0, 0}/|x|^3

That expression evaluated here: http://www.wolframalpha.com/


...produces the result as I described it. The question is if you know how did Mathematica arrive to that result, and if you do, then can you please explain the steps and calculation behind it?
 


The plot has a legend...
 


Hurkyl said:
The plot has a legend...

Yes, the legend says: "(x from -1 to 1)".

The question is, do you know how did Mathematica arrive to that result (5*10^6 - 2*10^7), and if you do, then can you please explain the steps and calculation behind it?
 

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