Hi Andrew,

You have a pedagogical talent. I like that this FAQ is not overformalized, and there are verbal explanations, but its still concise.

One suggestion would be to mention on page 32 , before table, explicitly that this table as it is is valid for real x.(since some functions in the table like W could be definitely perceived by some readers as functions of complex variable) . In general, such clarifications ( where x is real, where z is complex, range of t) would help (me), but may be not needed for practicionists in computing? Or than in the beginning of FAQ there could be a notation table where it is stated that x is always real, z always complex , t always ? ,etc.

In total, Great stuff. Do not aim for reducing explanations, though, so it becomes just formulas and manipulations with logical symbols, as most modern mathematical texts. E.g this is now clear in regard to superlogarithm on p.26 ,and may be can be made even more clear with examples:

I would though suggest there "before value=1 is obtained".

More examples in general would help, but I understand it is such a big job, since in Your programm there are still many places You want to fill theoretically.

Ivars

Moderator's note: Moved from thread "Tetration FAQ". Ivars, it was explicitely written that the thread "Tetration FAQ" is not for the discussion of the FAQ.

You have a pedagogical talent. I like that this FAQ is not overformalized, and there are verbal explanations, but its still concise.

One suggestion would be to mention on page 32 , before table, explicitly that this table as it is is valid for real x.(since some functions in the table like W could be definitely perceived by some readers as functions of complex variable) . In general, such clarifications ( where x is real, where z is complex, range of t) would help (me), but may be not needed for practicionists in computing? Or than in the beginning of FAQ there could be a notation table where it is stated that x is always real, z always complex , t always ? ,etc.

In total, Great stuff. Do not aim for reducing explanations, though, so it becomes just formulas and manipulations with logical symbols, as most modern mathematical texts. E.g this is now clear in regard to superlogarithm on p.26 ,and may be can be made even more clear with examples:

Quote: Using the third interpretation of super-logarithms (i.e. the number of times you

must apply a logarithm before one is obtained)

I would though suggest there "before value=1 is obtained".

More examples in general would help, but I understand it is such a big job, since in Your programm there are still many places You want to fill theoretically.

Ivars

Moderator's note: Moved from thread "Tetration FAQ". Ivars, it was explicitely written that the thread "Tetration FAQ" is not for the discussion of the FAQ.