the other tetration(s)...
#1
why does no one care about the \( [\downarrow 4] \) operator? you know, the other one that for some reason no one talks about...
the other ones could be very important for some applications, especially in science and computer science where all of the tetratoins could happen.

Some properties, just so you know.

\( a [\downarrow 4] 1 = a \)
\( a [\downarrow 4] 0 = \sqrt[a]{a} \)"identity" for the operator
\( \lim_{x \to -\infty} a [\downarrow 4] x = x^{\frac{1}{\infty}} = 1 \forall a > 0 \)
#2
(05/04/2009, 02:18 AM)Tetratophile Wrote: why does no one care about the \( [\downarrow 4] \) operator? you know, the other one that for some reason no one talks about...
the other ones could be very important for some applications, especially in science and computer science where all of the tetratoins could happen.

You are not the first observing that. See the thread The forgotten left hyperoperations.




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