Tetration FAQ Discussion

[andydude]

I just realized that the nth tetrate makes an incredibly unified terminology system if the other suffix used with tetration was used for iteration as well! I've been using the term "orbit" for the third way of viewing iteration but this is classically viewed as an indexed set, not a function per se. So this could be the new terminology:

• iteration (binary), nth iterate \( f^2(x) \), iterational \( f^x(0) \) (formerly orbit).
  
• tetration (binary), nth tetrate \( {}^{3}x \) (formerly hyperpower, tower), tetrational \( {}^{x}e \).
  

Andrew Robbins