This was too interesting. Tetration vs complex tetration thread
https://tetrationforum.org/showthread.php?tid=1762
Complex tetration can be as simple as a Riemann sum and a Schroeder equations so limiting it with standard tetration is like the step before pentation the more you do it the more you get it
Using the two together is like tetration that is more operative on open variables that 2 specific divergent tetrations so fast you can split the variables down the middle like a Gauss string my thread on a similar subject to help explain how it's basically always better to use just tetration even if you can do tetration and something else at the same time, or two (even complex) tetrations at the same time or two and something else like two tetrations and a pentation. That will fix the leap to pentation and I can explain two pentation at the same time with a good hyper-infinite perspective
So it go me thinking, like my thread I made without making anything into a long post
https://tetrationforum.org/showthread.php?tid=1762
About having to basically do two things at the same time like a Cauchy method to solve a variable, or basically Schroeder something and outderive a system set big enough (to solve a variable)
So to do two hyperoperations at the same time is like doing two Schroeder equations at the same time and using the two antiderivatives. With pentation the two variables have to have enough of the same sign to not look as tetra convergent as big enough tetrations to make iterates etc
I just think it's too interesting because of things like the Riemann sum or things like two gauss or two gauss and a mulanept. If you could do both hyperoperations at the same time and not have to at the same time it would make my point (that you can hyperoperate when anything more derivative than a pentation hyper-infinite sum is like two riemanns and anything less derivative is like two variables or a function
Like logic or a Schroeder (no Greek using logic) when any logic or supposition is more or less derivative than an x a a Schroeder equation or some Cauchy can outderive a variable with a bicomposite function <no antiderivative
s∑k-x, e(P1)=(a+b)#4, (a + b)#1 is a meta-character string metaphor, a+b2 is a logic string metaphor, (a + b)#3 = character string
- x can not hyper-operate on y(x(yxy)
- y or x & y(x(y(x(yxy or x & x(y(x(yxy) can hyper-operate
- x cant operate /hyper-operate on an x or x3
Two pentations and hyper-infinite TRI-composites can Schroeder that or Cauchy that. With two pentations and a something we can get to quadco functions, the out the quad with tetration and two tetrations at the same time to keep the numbers going
So how does tetrating or hyperooerating so fast you could be doing two hyperoperations at the same time (but aren't) show two Riemannian sums that differ enough from 2 others?
So, one hyo with a bico <bicomposite> or two tricos or one quadco (quadcomoosite) or two of these at the same time? In/outside an anything? Anymore more derivative than x gets Cauchy for gaussian bucks and super function bicos?
https://tetrationforum.org/showthread.php?tid=1762
Complex tetration can be as simple as a Riemann sum and a Schroeder equations so limiting it with standard tetration is like the step before pentation the more you do it the more you get it
Using the two together is like tetration that is more operative on open variables that 2 specific divergent tetrations so fast you can split the variables down the middle like a Gauss string my thread on a similar subject to help explain how it's basically always better to use just tetration even if you can do tetration and something else at the same time, or two (even complex) tetrations at the same time or two and something else like two tetrations and a pentation. That will fix the leap to pentation and I can explain two pentation at the same time with a good hyper-infinite perspective
So it go me thinking, like my thread I made without making anything into a long post
https://tetrationforum.org/showthread.php?tid=1762
About having to basically do two things at the same time like a Cauchy method to solve a variable, or basically Schroeder something and outderive a system set big enough (to solve a variable)
So to do two hyperoperations at the same time is like doing two Schroeder equations at the same time and using the two antiderivatives. With pentation the two variables have to have enough of the same sign to not look as tetra convergent as big enough tetrations to make iterates etc
I just think it's too interesting because of things like the Riemann sum or things like two gauss or two gauss and a mulanept. If you could do both hyperoperations at the same time and not have to at the same time it would make my point (that you can hyperoperate when anything more derivative than a pentation hyper-infinite sum is like two riemanns and anything less derivative is like two variables or a function
Like logic or a Schroeder (no Greek using logic) when any logic or supposition is more or less derivative than an x a a Schroeder equation or some Cauchy can outderive a variable with a bicomposite function <no antiderivative
s∑k-x, e(P1)=(a+b)#4, (a + b)#1 is a meta-character string metaphor, a+b2 is a logic string metaphor, (a + b)#3 = character string
- x can not hyper-operate on y(x(yxy)
- y or x & y(x(y(x(yxy or x & x(y(x(yxy) can hyper-operate
- x cant operate /hyper-operate on an x or x3
Two pentations and hyper-infinite TRI-composites can Schroeder that or Cauchy that. With two pentations and a something we can get to quadco functions, the out the quad with tetration and two tetrations at the same time to keep the numbers going
So how does tetrating or hyperooerating so fast you could be doing two hyperoperations at the same time (but aren't) show two Riemannian sums that differ enough from 2 others?
So, one hyo with a bico <bicomposite> or two tricos or one quadco (quadcomoosite) or two of these at the same time? In/outside an anything? Anymore more derivative than x gets Cauchy for gaussian bucks and super function bicos?