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"game" - to calculate 1.00...001 ^^ 0.5 = ?
nuninho1980 Wrote:1. Regular iteration (which is actually the oldest, was already considered in 1870 by Schröder)
the "old" Regular iteration is by Schröder until now!?? no, now "new" Regular iteration is by Ansus. you know Ansus (he is the user of this site)
Its not by Ansus, its by Schröder and Levy. Thatswhy there is the name Schröder function for
if the fixed point is .
I described the method here, its the same as what Ansus wrote down, except that the focus is on slog and not on sexp.

Quote:2. via natural slog.
no! the base is any number.

Natural slog is a method that works for arbitrary bases . It was first described by Walker and rediscovered by Andrew Robbins (andydude on this forum). You can find a description somewhere on the forum. Though I am inclined to rename the method to "intuitive slog/iteration", because in a context like "natural iteration" it can be easily mistaken to mean "iteration by a natural number".

Quote:3. matrix power method.
What means "no"? Does it mean "matrix power method is bad"? Haha, then Gottfried would get quite angry with you!

PS: You can quote someone by sourounding the quoted text by
. If you press "reply" it is already sourounded and you only need to edit whats inside the quote.

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RE: "game" - to calculate 1.00...001 ^^ 0.5 = ? - by bo198214 - 04/18/2009, 03:57 PM

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