I miss Ronald
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touhou spam thread with ids
So i just found this thing,
Ok so lets just say you can only use the functions a(x) = 2x and b(x) = 2x-1 with x being any natural number,
And lets just say that you have to get the result of one of these 2 functions being applied to a number y, like
y>a(y_1)>y_1>b(y_2)>y_2>…a(y_n)>y_n>….
(The greater than are supposed to be arrows if the symbol change becuase obsessed formatting)
so, The minimum iterations for a number y to get to 1 is floor(log_4(y)) (things such as a/b(n) are ignored)
Example:
77>b(39)>39>b(20)>20>a(10)>10>a(5)>5>b(3)>3>b(2)>2>a(1)>1>a(1)>…
77>39>20>10>5>3>2>1>1….
What is this type of iterative function thing called doelbeit , has there been ANY paper on things like these (Collatz doesn't count)?
>OP why didn't you extend it to the rationals and integers?
For rationals It either Leads to either y diverging to infinity or converging to 0 for the example i gave,
And for integers the amount of steps is the same for negatives or something,
>OP what happens if i have a lot of possible functions to use
Either turns into a chaotic mess (like dynamical systems) or something similiar to what i posted (that is trivial btw)
>Have you tried doing things with complex numbers,irrationals,primes etc… Yet?
Not yet
Thoughts?
Ok so lets just say you can only use the functions a(x) = 2x and b(x) = 2x-1 with x being any natural number,
And lets just say that you have to get the result of one of these 2 functions being applied to a number y, like
y>a(y_1)>y_1>b(y_2)>y_2>…a(y_n)>y_n>….
(The greater than are supposed to be arrows if the symbol change becuase obsessed formatting)
so, The minimum iterations for a number y to get to 1 is floor(log_4(y)) (things such as a/b(n) are ignored)
Example:
77>b(39)>39>b(20)>20>a(10)>10>a(5)>5>b(3)>3>b(2)>2>a(1)>1>a(1)>…
77>39>20>10>5>3>2>1>1….
What is this type of iterative function thing called doelbeit , has there been ANY paper on things like these (Collatz doesn't count)?
>OP why didn't you extend it to the rationals and integers?
For rationals It either Leads to either y diverging to infinity or converging to 0 for the example i gave,
And for integers the amount of steps is the same for negatives or something,
>OP what happens if i have a lot of possible functions to use
Either turns into a chaotic mess (like dynamical systems) or something similiar to what i posted (that is trivial btw)
>Have you tried doing things with complex numbers,irrationals,primes etc… Yet?
Not yet
Thoughts?
>I hate the heckin billionaire elites but I would never ever not use less than half of my budget on purchasing they're items
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>>18985565
I want to lick black cum out of white pussy
I don’t watch a lot of tranime but I am enjoying this cardcaptor sakura. I started listening to one of the songs from the show and that got me to want to explore the show
>Kill them black ops style
My 23 year old son Landon has a cardboard cutout of a character I think he calls "soy tan" and this websites url is written in the back. I told him the other day to get a job but he said something about "obsessed foid brimstone"? Is this site preventing him from employment? Is this an extremist webpage?
>going outside scares you as a skill
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