Theorem (2)

  • Thread starter H.B.
  • Start date
  • #1
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Main Question or Discussion Point

This theorem (if it is proven) comes also from a formula of kinetic energy.
Has anyone some suggestions about this one.

Definition of f(n):

[tex]
\ f(n)=(2^{n-1}a)Mod(a+b)
[/tex]

Definition of g(n):

[tex]\
\ g(n)= 4f(n)-2(a+b)+1
[/tex]

Definition of h(n):

[tex]
\ h(n)= Sign(f(n))(Sign(g(n))+1)
[/tex]

Theorem:

[tex]
\lim_{n\rightarrow\infty}\sum_{k=1}^{n}{h(k)\left(\frac{1}{2}\right)^{k+1}} = \frac{a}{(a+b)}
[/tex]

Thank you for trying.
 

Answers and Replies

  • #2
20
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n, a and b are integers > 0
 

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