Triangular Function Loop
No.10936726 ViewReplyOriginalReport
Quoted By: >>10936729 >>10937614 >>10937648
>have been trying to figure out advanced proofs without having even started college
>have absolutely no idea what im doing
I found this interesting relationship that I could use to prove or disprove some unsolved math proof, but I have no idea how to do anything with it. Is there anyone with slightly more knowledge in mathematics that could offer any ideas on how to solve for all solutions?
Examples of this would be:
Ex. 1
x2 + x = y2 + y
?y + 3 = ?z + 3
x3 - x = z3 - z
or a simpler one,
Ex. 2
x2 = y2
y = z
x + 2 = z + 2
The idea as that for each of the three, both sides are the same function, but with a different variable.
In example 2, it’s very easy to see that x + 2 = z + 2 simplifies to x = z, meaning x = y = z, and therefore the solution must be, for all numbers a, (a, a, a). I would like to find out if functions exist without this trivial solution, and how to reach those solutions.
Any ideas?
>have absolutely no idea what im doing
I found this interesting relationship that I could use to prove or disprove some unsolved math proof, but I have no idea how to do anything with it. Is there anyone with slightly more knowledge in mathematics that could offer any ideas on how to solve for all solutions?
Examples of this would be:
Ex. 1
x2 + x = y2 + y
?y + 3 = ?z + 3
x3 - x = z3 - z
or a simpler one,
Ex. 2
x2 = y2
y = z
x + 2 = z + 2
The idea as that for each of the three, both sides are the same function, but with a different variable.
In example 2, it’s very easy to see that x + 2 = z + 2 simplifies to x = z, meaning x = y = z, and therefore the solution must be, for all numbers a, (a, a, a). I would like to find out if functions exist without this trivial solution, and how to reach those solutions.
Any ideas?
