Jedi Consular
Jedi Consular
Just to point this out, I have noooo idea what you guys are talking about :?
"It's not who I am underneath, but what I do that defines me"
Jedi Council Member
Jedi Council Member
chaos theory is an interesting one. It basically says:
You will never be able to measure a quantity (velocity, angle etc) in a system to successfully predict the entire time line of events that will take place in that system.
heres what I mean from that, say two of us one day two people decided they wanted to predict the future (I use this example because this is what actually forced the scientific community to accept chaos). lets imaginitivly call them person A and person B.
Now the situation is both of these people are going to plug thier data into the same programme, which for all intsense and purposes can accuratly predict the weather based on the data you feed it. This programme is also super duper and some how can predict the weather based on one parameter, lets make this atmospheric pressure.
So person A is lazy and only measures his pressures to 3 dp, like 5.678.
However person B isn't as lazy and measures his pressures to 6dp, like 5.678912.
now they both plug thier data into thier simulations and initially both predict the weather really accuratly. Then person A's predictions start to get further and further away from reality whilst person B's prediction stays on target. Eventually however person B's simulation starts to deviate aswell until his simulation too bears no resemblence to the actual weather conditions.
Why did this happen? It's to do with the initial conditions. As time goes on, those tiny errors in the initial conditions start to amplify, and have a greater and greater impact on later predictions. i.e intially say person A's error was 1% whilst person Bs's error was 0.1%. However 10 steps down that line those errors become 10% and 1% respectivly. Meaning those predictions deviate more and more as the error keeps increasing.
So yeah thats why meteoroligists can't predict the weather too far down the line as chaos (among other things) screws them up.
However, this is only the tip of the iceberg and the end of my current knoledge of it
You will never be able to measure a quantity (velocity, angle etc) in a system to successfully predict the entire time line of events that will take place in that system.
heres what I mean from that, say two of us one day two people decided they wanted to predict the future (I use this example because this is what actually forced the scientific community to accept chaos). lets imaginitivly call them person A and person B.
Now the situation is both of these people are going to plug thier data into the same programme, which for all intsense and purposes can accuratly predict the weather based on the data you feed it. This programme is also super duper and some how can predict the weather based on one parameter, lets make this atmospheric pressure.
So person A is lazy and only measures his pressures to 3 dp, like 5.678.
However person B isn't as lazy and measures his pressures to 6dp, like 5.678912.
now they both plug thier data into thier simulations and initially both predict the weather really accuratly. Then person A's predictions start to get further and further away from reality whilst person B's prediction stays on target. Eventually however person B's simulation starts to deviate aswell until his simulation too bears no resemblence to the actual weather conditions.
Why did this happen? It's to do with the initial conditions. As time goes on, those tiny errors in the initial conditions start to amplify, and have a greater and greater impact on later predictions. i.e intially say person A's error was 1% whilst person Bs's error was 0.1%. However 10 steps down that line those errors become 10% and 1% respectivly. Meaning those predictions deviate more and more as the error keeps increasing.
So yeah thats why meteoroligists can't predict the weather too far down the line as chaos (among other things) screws them up.
However, this is only the tip of the iceberg and the end of my current knoledge of it
Administrator
Administrator
Does the Heisenberg Uncertainty Principle play a part in this? Or am I far off?
Jedi Consular
Jedi Consular
I have never trusted the weather men. I only trust the weather map of conditions that are happening now, not in the future
"It's not who I am underneath, but what I do that defines me"
Jedi Council Member
Jedi Council Member
not sure, it could have an effect on other types of chaos systems but I have not heard of them. The systems would have to be purely atoms and particles as thats the only things the principle directly effects.Scott wrote:Does the Heisenberg Uncertainty Principle play a part in this? Or am I far off?
It would fit nicely in with the whole unpredictablility though.
Administrator
Administrator
I read more about aleph-null today. Wow is it weird...I have a hard time to comprehend the thought of different sets of infinity or what the hell that even means. I also wish I had a aleph-null simple on my keyboard cause it looks sweet.
Jedi Master
Jedi Master
When I read about it it just appeared to be any set with no limit...
Oh... It's sets with no limit which each term is directly related to the last. At least I think that's what wikipedia meant. Wikipedia always makes the simple, complicated. I should find a better place.
It appears that all websites I have visited have copied each other because the descriptions are all the same or very similar.
I'll give up.
Oh... It's sets with no limit which each term is directly related to the last. At least I think that's what wikipedia meant. Wikipedia always makes the simple, complicated. I should find a better place.
It appears that all websites I have visited have copied each other because the descriptions are all the same or very similar.
I'll give up.
Administrator
Administrator
Well as long as my life is never dependent on knowing what or how aleph-null works, than I'm fine. Anyway for anyone who cares, this topic has become the most posted topic in the entire forum. In fact quite a while ago but I just noticed now... 
Jedi Consular
Jedi Consular
yeah. And another note is it is the most complicated forum of alllll time
"It's not who I am underneath, but what I do that defines me"
Administrator
Administrator
It's like the old cliché of a train wreck being terrible but attentive.
Jedi Consular
Jedi Consular
Yep
"It's not who I am underneath, but what I do that defines me"
Administrator
Administrator
So back on track. Any other nerdy conundrums anybody has to talk about?
Jedi Master
Jedi Master
I don't call things on here nerdy. I think complex is a better word.
Jedi Consular
Jedi Consular
So yes, it is very very nerdy
"It's not who I am underneath, but what I do that defines me"
Jedi Master
Jedi Master
Complicated things aren't necessarily nerdy.