[a / b / c / d / e / f / g / gif / h / hr / k / m / o / p / s / t / u / v / vg / vm / vmg / vr / vrpg / vst / w / wg] [i / ic] [r9k / s4s / vip] [cm / hm / lgbt / y] [3 / aco / adv / an / bant / biz / cgl / ck / co / diy / fa / fit / gd / hc / his / int / jp / lit / mlp / mu / n / news / out / po / pol / pw / qst / sci / soc / sp / tg / toy / trv / tv / vp / vt / wsg / wsr / x / xs] [Settings] [Search] [Mobile] [Home]
Board
Settings Mobile Home
/sci/ - Science & Math

Name
Options
Comment
Verification
4chan Pass users can bypass this verification. [Learn More] [Login]
File
  • Please read the Rules and FAQ before posting.
  • Additional supported file types are: PDF
  • Use with [math] tags for inline and [eqn] tags for block equations.
  • Right-click equations to view the source.

08/21/20New boards added: /vrpg/, /vmg/, /vst/ and /vm/
05/04/17New trial board added: /bant/ - International/Random
10/04/16New board for 4chan Pass users: /vip/ - Very Important Posts
[Hide] [Show All]


Janitor applications are now closed. Thanks to all who applied!


[Advertise on 4chan]


File: pepe apple.png (535 KB, 1000x1600)
535 KB PNG
Entropy is a function of probability. There's only one way for cookie crumbs to make a cookie but like a gazillion for the opposite. We see increasing disorder because it's simply more probable
>>
Entropy is simply the expectation value of the surprisal function of the distribution, i.e., the expected surprisal or average surprisal.

Surprise as a function of probability p is S = log(1/p) and therefore the expected value of S is <S> = sum(p * S(p)) = sum(p*log(1/p)) = sum(p*(-1*log(p)) = - sum(p*log(p)) = entropy.

Surprisal S(p) is 0 if the probability is 1, i.e. absolutely certain events are not surprising, while absolutely impossible events with probability 0 are completely surprising ie surprisal S=1.

Hope this is helpful.
>>
Both entropy and probability are a byproduct of state transition geometry. Ordered states are much less likely than disordered states, so systems converge on disorder.
>>
File: carrot.jpg (20 KB, 350x487)
20 KB JPG
the classification of order is arbitrary and thus meaningless and thusly I have proven beyond an unreasonable doubt that I am the smartest food-on-head pepe and that entropy is nonsense
>>
File: la chiquita bonita.png (1.29 MB, 1024x1614)
1.29 MB PNG
Entropy is a function of autism.
Reality doesn't differentiate crumbs and cookies, they're both just a bunch of excitations at some coordinates in spacetime.
Only humans feel the need to squeeze the events chain reaction through their anal retentive thought process.
>>
>>17000530
>There's only one way for cookie crumbs to make a cookie
prove this without appealing to time
protip: you cant
>>
File: 1781421956594968.jpg (108 KB, 1200x675)
108 KB JPG
>>
>>17000595
how many other ways are there? If you change even one crumb, it's not the same cookie anymore, onthologically
>>
File: 1769773716917548.jpg (287 KB, 816x713)
287 KB JPG
>>17000530
Yes that's pretty much the definition of entropy, the logarithm of the multiplicity.
>>
>>17000590
>coordinates
kek talk to me again when you leave kindergarten
>>
>>17000604
>the same cookie
appeal to continuity of identity over time



[Advertise on 4chan]

Delete Post: [File Only] Style:
[Disable Mobile View / Use Desktop Site]

[Enable Mobile View / Use Mobile Site]

All trademarks and copyrights on this page are owned by their respective parties. Images uploaded are the responsibility of the Poster. Comments are owned by the Poster.