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

[N_F]

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?

 

[HallsofIvy]

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.

 

[N_F]

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?

 

[Hurkyl]

The plot has a legend...

 

[N_F]

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?