What's the size of a photon?
Google gave literally zero answer.
pic not related.
>>8228026
Massless pleb
>>8228026
Picture has photon mass. It's resting mass is 0
>>8228029
I know it's massless, but what about it diamater/volume?
We can see them, they touch our retina/photoreceptors, so it must have a diameter/volume!
What would've happened to this frog? Would he have died before the balloon bursted?
Probably survived the whole thing
he would have made it to france safely only to be shot by terrorists
I hope that kid gets hit by a car.
Frogs are our bros and don't deserve such awful treatment.
In this article it says death by drowning can be peaceful if you inhale the water.
"A person who had the courage to do this would probably become almost immediately unconscious, and never rise to the surface. As soon as the fluid filled his lungs, all feelings of chilliness and pain would cease, the indescribable semi-delirium that accompanies anæsthesia would come on, with ringing in the ears and delightful visions of color and light, while he would seem to himself to be gently sinking to rest on the softest of beds and with the most delightful of dreams."
What can you say about this?
>>8227816
Sorry, this is the article. https://en.wikisource.org/wiki/Popular_Science_Monthly/Volume_13/May_1878/The_Question_of_Pain_in_Drowning
Then why do people that died drowning show signs of anxiety and stuff?
>>8227834
Isn't it difficult to force yourself to inhale while underwater? Don't most drownees' lungs collapse before filling with liquid?
Do atoms behave in a predictable manner?
I.e. Is it possible to track an electrons movement?
>>8227797
https://www.youtube.com/watch?v=nmC0ygr08tE&feature=youtu.be
>>8227798
So it most likely is possible, just massively complex?
>>8228344
You can absolutely find an electrons position in a moment. However, at that moment will give you absolutely no information about its momentum.
If you can find a way to do both, and "track" an electron, give me a shout out and maybe we can share the Nobel Prize.
hey guys, i cant wrap my head around this math, i was hoping someone can tell me how it can be figured out
if you had a 51% chance to win a gambling game (i guess you would call it investment then), how many times should you play it, so that you have a 10% chance or less of ending up losing more money than you started with?
>>8227746
i might've worded that wrong. i meant having less money than you started with
the number of successes required to have a net gain is ceiling(trials/2), so we can use the binomial distribution to figure out for a series of increasing numbers of trials, what the probability of achieving the required number of successes or fewer is. however, since it's "or fewer", which includes cases where we potentially have a net loss, we need to look at the opposite probability to ensure that we actually get the value we need.
trials <- 1:100
successes <- ceiling(trials/2)
plot(1-dbinom(successes,trials,0.51))
we can see that the probability goes above 0.9 at the 62nd attempt
>>8227787
and jsut to double check - if we redefine this so that "success" means that we lose the game, and we want to keep the "successes" at or below floor(trials/2), then we need
trials <- 1:100
dbinom(floor(trials/2),trials,0.49)
and the result is the same - it crosses at the 62nd attempt
So I don't have any idea how the throat works, but I have this really annoying feeling like I have a lot of phlegm or something, but whenever I try to actually spit I can never get anything. After a while it started to feel almost like I was swallowing my throat, and it's really hard to sleep or focus on anything because it gives a similar sensation to choking or something like that. I've never had this problem before, what exactly could it be that's clogging up the back of my throat(;^))? I don't imagine looking up "phlegm in throat but not actually phlegm" will yield much results, and half the threads on this board seem to be shitposting anyway, so I figured I might aswell give it a shot here.
>>8227740
Do you experience anxiety?
>>8227743
In what way? Just general anxiety not necessarily social? Then yes.
>>8227754
Ok, have you been experiencing anxiety in relation to this throat sensation as well?
And does the sensation build in intensity when you attempt to sleep?
The Kolakoski sequence is the unique sequence consisting of only 1s and 2s and starting with 1 such that the nth element equals the length of the nth run, and it's conjectured that it has an equal density of 1s and 2s, so let's prove this shit senpai.
To be clear, a run is a consecutive subsequence of the same symbol.
Here's the sequence.
1221121221221121122121121221121121...
Notice that if you group the runs as follows.
[1][22][11][2][1][22][1][22][11][2][11][22][1][2][11][2][1][22][11][2][11][2][1]...
And then if we take the length of each of those runs, we recover the original sequence.
12211212212211211221211...
A simple way to generate it is as follows.
Start with the following.
122[1]1
In each step, take the selected number, and write that many of the opposite of the last symbol onto the end, and then shift the selected symbol to the next element.
For example, 122[1]1 becomes 1221[1]2 since the final symbol was 1 we write 2, and since the selected symbol is 1, we write a single 2.
122[1]1
1221[1]2
12211[2]1
122112[1]22
1221121[2]21
12211212[2]122
...
There are more space efficient ways of computing the sequence too, but this is the simplest.
Let's prove this shit, /sci/.
>>8227723
bump for interest
>>8227723
Let An be the number of 2s divided by the number of 1s at an arbitrary point n of the secuence.
A1 = 0/1 = 0
A2 = 1/1 = 1
A3 = 2/1 = 1
A4 = 2/2 = 1
A5 = 2/3
A6 = 3/3 = 1
A7 = 3/4
A8 = 4/4
A9 = 5/4
A10 = 5/5
A11 = 6/5
A12 = 7/5
A13 = 7/6
A14 = 7/7 = 1
Conjecture: All An are of the form n/n, (n+1)/n and n/(n+1).
It is trivial to show that the limit as n approaches infinity of all these forms is 1, implying that the density of 1s and 2s is the same.
Theorem: My conjecture is true:
Assume that at any point An is not of the forms shown. Given the nature of the sequence this implies that at some point n, An = (n+2)/n or An = n/(n+2) and then the density of either 1 or 2 blows up
This would only be possible if at any point at least 3 consecutive 1s or 2s appeared in the sequence. Assume this happens. So the sequence becomes:
...xxx... where xxx is the block k.
but this is impossible because this implies that one of the digits of the sequence is 3. Therefore the sequence is never of this form and therefore it is not possible for the sequence to blow up and get 'away' from the forms I've described before.
Therefore the original conjecture of this thread is true.
>>8227763
>A12 = 7/5
>Conjecture: All An are of the form n/n, (n+1)/n and n/(n+1).
Anyways, I'm pretty sure that the difference between the total of 1s and 2s up to a given point will get arbitrarily large in either direction.
It's just that it does so very slowly, probably logarithmically, so it still converges.
Also, your proof has a lot of pretty big gaps in there that make it wrong.
Why is this not symmetrical?
>>8227567
Cuz he's fed up with your pseudoscience bs
>>8227569
fuck, I wanted to post this
i should kill myself
>>8227572
why on earth would chaos be symmetrical ?
Ok, I decided to revisit this issue, and thought I was just refreshing old knowledge.
But after a couple of hours reading internet explanations, I still can't wrap my head around this.
tl;dr
WHAT ... EXACTLY ... is an NP problem that is not either in P nor NP-COMPLETE nor NP-HARD ?
(Let's assume P != NP)
My intuitive idea was always that np-complete was like a sort of club of problems that could be transformed (reduced) into one another.
But the NP-hard seems to have the same description.
Again... what is an NP problem that isn't in the other "clubs"?
Thanks, I'm dying here.
>>8227556
>millennial problem requiring Langan-tier 200+ IQ to solve
>cant wrap my head around this
>>8227556
You want a language that's neither in P nor NP-complete?
Under the assumption P=/=NP Ladner's theorem tells you that such a language must exist. In fact he constructs such a language but in an unintuitive and artificial manner.
A good candidate would be graph isomorphism, for which we have reason to believe it is an NP-intermediate. It is somehow "harder" than P but "easier" than NP. However this hasn't been proven (and might possibly never be proven) since we don't know P=/=NP with certainty yet.
>>8227560
I'm not asking for a proof or disproof of P=NP you ....you...human.
Just what the different sets mean
So I usually feel the need to take a break after studying. And that is usually something mindless like going for a walk or watching an episode of a tv show or something before I start again. It's like I reward myself in a way and do something mindless.
Is there a way to trick my body into not wanting this? Do you guys just study nonstop so it's the only thing your mind/body knows or is there a better way to take breaks that ensures I am ready for the next study session?
It's healthy to do it. You are not a machine, dumb piece of shit.
>>8227519
But how long/how often?
> Be home
> Find out autistic cousin used paint while i was away
>HNever talk
> saved as png
smart kid ;)
He is 11yo. I never heard him talk to anyone as i can remember. So much information here i can't understand... help !
We are computers
Some binary shit that I won't even bother analyzing
http://www.sciencealert.com/google-s-quantum-computer-is-helping-us-understand-quantum-physics
Wassup /sci/. Discuss
>>8227336
there's a thread already
>>8227336
Delete your thread and try again with a relevant and not vomit inducing picture.
>>8227347
How about this picture, then?
You guys consider yourselves intellectuals but you fools don't even believe in flat earth..you're not even half awake until you understand we live in a dome
would it make it easier to nuke china
Well in this situation China Russia and US are conspiring together to keep this ultimate lie a secret and we're all just slaves in modern times to the Vatican who is ran by the templar nights and uses the US and its cattle/teens as its personal military branch
Copernicus, who really made the push of heliocentric belief was a satanic Freemason.
The guy that started NASA was as well
The guy that started freemasonry also started the early heliocentric model around 450bc
My meru, a magnetic mountain is at the center of flat earth.
A compass will always point north, its pointing towards the magnetism emitted by magnetic mountain
Apparently Atlantis was in the north pole
the Hodge conjecture
>>8227280
No.
old meme
>Proof is a list of arguments written in Word
>Can I transfer to a school that looks for students who are serious about mathematics?
Where were you when probabilistic mechanics got blown the fuck out?
https://www.youtube.com/watch?v=nmC0ygr08tE
welcome to 10 years ago animekid =)
>>8227164
>the most beautiful experiment in the history of science
>complains about anime instead
https://www.quantamagazine.org/20160517-pilot-wave-theory-gains-experimental-support/
we are gonna make it
so many years wasted though