Recent content by The UPC P

Thanks for the help! Hoewever I am still having problems. I want to make a proof by contradiction if log2(i) is irrational so that is why I start with a false assumption. I now made a new proof but I still do not get it: log2(i) = m/n ln(i)/ln(2) = m/n ln(i) = ln(2)*m/n e^(ln(2)*m/n) = i...

m and n are integers. log2(i) = m/n 2^(m/n) = i 2^m = i^n 2^0 = i^4 = 1 so that means that log2(i) is rational because there are integers n and m so that log2(i) = m/n , they are m=0 and n=4. But what I do get about this proof is that it seems to imply that log2(i) = 0/4 = 0 while google says...

And what about probability 0? Can probability 0 happen so that one gets infinite information?

Why can probabilities not be other numbers? For example if something was guaranteed to happen twice it's probability of happening once would be 2 so when it happens the information would be -log2(2) which means that when you see an event that you know is going to happen twice happening then you...

I know that if you have x states then you need log2(x) bits to encode them. For example a coin has 2 states and you need 1 bit which is log2(2). It also works for numbers between 0 and 1 for example if you halve the amount of states you need to add log2(1/2) bits which is -1. So what does...

OK thanks!

I read somewhere that mathematical functions can be implemented as sets by making a set of ordered tuples <a,b> where a is a member of A and b is a member of B. That should create a function that goes from the domain A to the range B. But set theory has functions too, could they be sets too...

Thanks for the explanation and advice. I understand what they mean now.

There is something that confuses me when I read about space bending. For something to bend it needs to be in space, because otherwise bending does not exist. For example, it makes no sense to talk about the bending of bytes because bytes are not really in space. So how come that space can...