04/27/2008, 01:53 PM
In another thread I found interesting expressions (y is a result of those operations, whatever number type it may take):
y=0[0]0
y=1[1]1 = 1
y=2[2]2 = 2*2=4
y=3[3]3 = 3^3^3 = 19683
y=4[4]4=?
.....
y=n[n]n
......
y=x[x]x
......
y= i[ i]i
......
y=z[z]z
(this may be left out : y= q[q]q where q is quaternion...)
The question is, numbers 1, 2, 3, 4, ..n, ...x, i. , z .... q... are "something" - inverted hyperoperations of y.
How should we call this something and can we find these given y?
y=x[x]x, what is x if y is given and how many x will fit the equation?
Ivars
y=0[0]0
y=1[1]1 = 1
y=2[2]2 = 2*2=4
y=3[3]3 = 3^3^3 = 19683
y=4[4]4=?
.....
y=n[n]n
......
y=x[x]x
......
y= i[ i]i
......
y=z[z]z
(this may be left out : y= q[q]q where q is quaternion...)
The question is, numbers 1, 2, 3, 4, ..n, ...x, i. , z .... q... are "something" - inverted hyperoperations of y.
How should we call this something and can we find these given y?
y=x[x]x, what is x if y is given and how many x will fit the equation?
Ivars
