Accidental Astrophysicists

[Rudy Toody]

Accidental Astrophysicists

 

[irishScott]

Nice!

 

[hellokeith]

I'm confused. The original says nth degree polynomials have n number of solutions. This new work says 5n-5 or 5(n-1) number of solutions. How are these in agreement or one the extension of the other?

 

[Rudy Toody]

Originally posted by: hellokeith
I'm confused. The original says nth degree polynomials have n number of solutions. This new work says 5n-5 or 5(n-1) number of solutions. How are these in agreement or one the extension of the other?

They were proving a more complex equation:

Khavinson and Neumann extended the result to a more complicated type of equation, called rational harmonic functions. They wanted to know how many solutions this type of equation could have. The answer they got was peculiar: all they could show was that such a function couldn?t have more than 5n-5 solutions, if n was bigger than one.