mrgriffxy
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Posts posted by mrgriffxy
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It is a composition problem you put f(x) in for x. So with your equation you would have 4(4x-5)-5=23
If that makes sense don't read further.The idea of a composition function is to place a function inside of another function.
Common function names used are f(x) and g(x) however this does not have to be you can have other names such as h(x)
There are two ways to tell a composition function f(g(x)) or f(x)○g(x)
So say you have your problem, lets split it up into two separate functions f and g.
f(x) = 4x-5 and g(x) = 4x-5We take the function f(x) and replace all x's with g(x) and set it equal to 23 like such.
4(g(x)) - 5 = 23
Now we plug in g(x)
4(4x - 5) - 5 = 23
and begin to solve
16x - 20 - 5 = 23
16x - 25 = 23
16x = 48x = 3
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4,2,1
in Mathematics
All even numbers are divisible by 2. So if you always make an even number you will eventually lead to 4,2,1.
3x+1=ODD+1=EVEN.0 -
4,2,1
in Mathematics
So there is this weird phenomenon that occurs when you follow these specific rules:
If ODD 3x+1
If EVEN x/2
The theory is that if you take a number through these rules as far as possible you will achieve a never ending cycle of 4,2,1. So say for instance you start with 5 follow the ODD function to get 16 then even function for 8 again for 4 again for 2 again for 1 then 4, 2, 1, 4, 2, 1... As far as I am aware this has not been proven to work for every number and it is unsure if there could be other sequences like this that appear from numbers untried. I guess my point is for a discussion to see if it can't be proven.
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Could a computer contain more information than a fixed space of the universe that it represents?
in Computer Science
Posted · Edited by mrgriffxy
You are limited to how small you can obtain a bit of information in an area, however if you think of electrons as bits you can get seemingly infinity small. The most I can assume you can fit in a weight of 1 gram is 6.02 x 10^23 bits of data stored in the form of hydrogen molecules.
That number is 602 sextillion which is quite a large number. In terms of data that is 64 xona bytes.