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Jul
4
comment Algorithm for tetration to work with floating point numbers
Looks interesting. Can you link to the precise page on the tetration forum? When I get more time, I might have a go at implementing the code you have, or maybe you or someone else could expand some of those high level functions to lower level ones at some stage.
May
14
comment Algorithm for tetration to work with floating point numbers
Sorry, no it didn't. 2^^3 should = 16, but it comes out as zero with your algorithm.
May
14
comment Algorithm for tetration to work with floating point numbers
Just to confirm - I certainly do not just want to "convert from float to int", so maybe you can remove that bit of the answer :)
May
14
comment Algorithm for tetration to work with floating point numbers
No joy. 2^^2 and 2^^3 both come out as zero. And 2^^2.5 comes out as about 1.5E-05.
May
13
comment Algorithm for tetration to work with floating point numbers
Your alg would calc 2^^2 and 2^^3, but not 2^^2.5 (which would only default to 2^^2). b gets converted to an integer (even in my original code if it was C#), so it's of no use. The algorithm would have to be a heck of a lot more complicated.
May
13
comment Algorithm for tetration to work with floating point numbers
I think you misunderstood what I wanted. I wanted the exponent to allow fractional numbers. This would completely rewrite the algorithm.
May
12
comment Algorithm for tetration to work with floating point numbers
@DanielGeisler: I don't see a particular piece of math I can immediately convert to a function (I at least looked for two-parameter functions). Then again, it would take me quite a while to digest the info in those links (especially the second) with my current level of knowledge.
May
10
comment Continuum between addition, multiplication and exponentiation?
@GottfriedHelms: Oh btw, I'm the guy who discovered the Mandelbulb formula. You mentioned that here - glad you like the pics! :)
May
10
comment Continuum between addition, multiplication and exponentiation?
You're right in saying my question is practically the same as the one asked in the link you've supplied. Sad in one way to see that it hasn't been solved yet. Happy in another way that it provides mystery and adventure for mathematicians like you, and also in regards to the kind of progress math might see if it was solved. A tick to any answer so far remains elusive for now, but let me know if a solution arises! (And have an upvote in the meantime!)
May
10
comment Continuum between addition, multiplication and exponentiation?
@MphLee: Funny you should mention that - I was just looking at commutative exponentiation yesterday. I'll be honest - I was hoping for the standard non-commutative flavour...
May
10
comment Continuum between addition, multiplication and exponentiation?
@MphLee: Perfect thanks! (so the latter of what I was thinking was correct). I just stumbled as the usual definition of the iterated logarithm is different, but he did use h-times which made me pause for thought.
May
10
comment Continuum between addition, multiplication and exponentiation?
I've had chance today to try and wrap my head around this. I'm making progress I think. When you say h-times iterated logarithm, do you mean not the usual mathematical definition of the iterated logarithm (which calculates how many times you need to log() before the number gets below 1), but instead, something more along the lines of "Define how many times you log() a number, and then log it those amount of times" ? If you can give the best/simplest version of the formula which includes the fractional iterated logarithm/exponentiation math too, then I'll be very tempted to tick this.
May
7
comment Continuum between addition, multiplication and exponentiation?
@DanielGeisler: I can follow around half of what's on that page. Interesting the function converges to 2 or less under various scenarios.
May
6
asked Continuum between addition, multiplication and exponentiation?
May
6
revised Algorithm for tetration to work with floating point numbers
added 225 characters in body
Apr
29
revised Algorithm for tetration to work with floating point numbers
added 256 characters in body
Apr
26
comment Algorithm for tetration to work with floating point numbers
@RobertLewis: (Oops, I misdirected the message so here it is again) - I've got some good news, bad news, then good again. Good news first, it at least appears to be C code, and I also used to use C exclusively. Bad news is I moved to the dark side, and I now use C#, (and removed the "Math." bit from "Math.Pow" above). And.....good news again is that I hope D takes off as I dislike boilerplate and bloat (which OO tends to have)........ Sorry, but I couldn't live without the GUI designer, memory protection (you can always dip into 'unsafe' code for speed), and I also detest C's header files ;)
Apr
25
comment Algorithm for tetration to work with floating point numbers
@vadim123: Wow, it looks to be an open problem with a little debate thrown in about what would qualify. Never expected that for something so seemingly simple. I'm looking or the most 'mathematically useful' if at all possible, without approximations.
Apr
25
revised Algorithm for tetration to work with floating point numbers
edited body
Apr
25
asked Algorithm for tetration to work with floating point numbers