Processing math: 100%

Saturday, September 10, 2016

Does ssrt(x) = x^^(1/2)

Notations:
ssrt(x) = \sqrt {x}_s  (Super Square Root).
x^^(1/2) = ^{\frac 12}x  (half fractional tetrations).

Does  \sqrt {x}_s =  ^{\frac 12}x?
Actually no.
because that means
If a =  ^{b}n  then n =  ^{\frac 1b}a

Let us assume that is true.
if ^{n}x = z , n aproaches to infinity.
Then x =  ^{\frac 1n}z=  ^{0}z
As a fact, we already know that
^{0}z is always equal to 1.
but x = z^{\frac 1z}.
Hence the result is ^{0}z = ^{\frac 1z}z and that is not true.
Therefore the assumption has failed.

No comments:

Post a Comment