/sci/ - Science & Math

Just ask for a proof that N = NP.

>>9647999
Bumping for the bants

you're welcome opie.

>>9648007
I don't want them to be able to just google it really easy and see
"Watch mojo top 10 hardest math problems"

and be like k shes just fucking around
i want them to think they can do it for a while

>>9647999
Here is a question which is basic mechanics but it's unsolved. So there is a kind of top called a tippe top which tips over and spins on it's handle when it reaches a certain angular speed. An even more peculiar toy called a chiral tippe top has it's inertia distributed in such a way that it tips over when spun clockwise. But not counter clockwise, so we know how to make such a top, but there is no theory behind it. Ask them to solve that. Or navier Stokes problem, really any unsolved problem in classical mechanics.

Because to solve relativity or qm problems you need some fancy tensor notation and such, so it might be out of reach.

>>9648021
What are the exact chances of winning a Texas hold'em Poker game against 4 other players after being dealt an Ace and a 9 of the same color.

>>9647999
>data mining thread
fuck off, cambridge analytica

>>9648017
>Groupes finis
Glad to be done with this, that's the stuff of nightmares

Collatz conjecture

>>9648074

>>9648074
Lol'd

Ask them to solve for the shape of a cable with static length and some linear density attached at two points such that it's gravitational potential energy is minimized. Catenaries are fun.

>>9648118
Lol'd

>>9648118
Too obvious. And it doesn't converge

>>9648149
It was too obvious

>>9647999
The vertices of a 5-cell lies randomly on the surface of a 3-sphere. What is the probability that the center of 3-sphere lies in the 5-cell

>>9648158
Oh snap. Tyler is a keeper.

>>9648149
When you fuck up your question call it a trick question

OP beware the roleplaying shit
You may enjoy it and become gay.

>>9648229
But OP was already a fag.

Not all of them are exactly math, but whatev.
* Derive the wave equation for the pressure in an ideal gas.
* Prove that all Hilbert spaces are separated.
* Prove that the Busy Beaver function is strictly increasing.
* Prove the generalized Stokes' theorem.
* Prove that all norms are equivalent in finite dimension.
* Calculate the sum of 1/p for p prime.
* Derive Schrödinger's equation from Hamiltonian mechanics and basic properties of wave functions.

What is th probability that thru the fake tinder account, you may actually find someone interesting. And you continue to test their knowledge, only to find you are starting to like this guy. Then you start questioning your own sexual preferences, only to decide that now you are gay for the person. Then one day you actually meet, only to find out it was a girl with a fake dudes account.
What are those odds?

>>9648331
About 1:6948313

>>9647999
There was a really good one the other day actually

>Let's say I play a dice game with a 50/50 winning Chance. I play 100,000 times. How likely is it that I'll lose 17 times in a row at one point? I know the possibility of losing 17 times in a row is 1/131072 but that doesn't take in consideration that I play the dice 100,000 times. So how do I find out what the odds are?


(It's not as simple as it first seems because runs are not independent of one another. If you're curious about the answer, http://www.gregegan.net/QUARANTINE/Runs/Runs.html))

>>9648158
>He doesn't know how to spell collatz
probably asked a friend of his who actually recognized it

I just created a fake tinder too to see how quickly a cute girl can amass matches; if you meet/met a girl on tinder, odds are, you’re not the only one

>>9648331
What are the odds you live in an anime?
Show your work.

God, autistic sheltered dumbasses like the ones in this thread should be shot and killed.

The Collatz Conjecture? Seriously? You just fucking had to go overboard... Instead of asking people a generic, difficult - though doable - problem from Galois theory or algebraic geometry, you went for one of the most famous conjectures in math. Holy fuck you're dense.

Even if they didn't know, they could have Googled it and with how famous the conjecture is, they would have had at least a few hits. Choose a problem out of some long-forgotten exercises in an old ergodic theory book or something like that. Not something even mouthbreathing Numberphile viewers like yourself know about from watching a couple of 2 minute YouTube videos. God damn...

>>9648187
Lol

Look up "coffin problems." They were problems that were easy to state but were ridiculously hard to exclude Jewish students from entrance to math programs in Russia, and aren't try hard shit like "Prove Fermat's Last Theorem." The inconspicuous ones are algebraic so just take a screenshot of the question.

Also:
Derive the quadratic formula
Prove that if a and b are real real numbers, and if a < b, then there exists a rational number q such that that a < q < b.
Prove that there is no formula to solve polynomials of degree 5 and higher.

>>9647999
>>9648118
You're my hero OP.

Ask him to prove this

Un related one, but still funny af

>>9648492

>>9648438
Oh, the irony.

>>9648616
Here we go

>>9648626
They owned your retarded ass.

>>9648633
you don't need calculus to solve an equation wtf this kid dense af

>>9648633
1010 doent exist qnd 1050 is fucking algebra lol

ask them to prove the convolution theorem, it's not super basic but not super hard either

>>9648158
>it always converges to 1
Brainlet

>>9648017
>abstract algebra
>hard

Ask them to integrate e^sinx.

The Erdős–Straus conjecture looks tangible but is unsolved and not as well known:

What's an integer n bigger than 1 so that there is not a triple of positive integers x, y and z, such that

4/n = 1/x + 1/y + 1/z

>>9648682

>>9648438
>generic, difficult - though doable - problem from Galois theory or algebraic geometry

This is the best approach, and honestly what I expected from this thread.

>>9647999
someone posted this some days ago:
[math]x^x^3=2^4[/math]
seems easy but there was only one solution that wasn't brute forced

>>9648736
You moved the "positive" to the false position, but yeah, I'm interested what he comes up with

>>9648763
ask them to develop the whole problem

we should be looking for problems that seem simply and easy, but are very difficult to solve. I've seen many, but I don't remember then... been out of college for a decade already

Find two integers [math]p[/math] and [math]q[/math] such that
[eqn]p^2 \,-\, 41,028,642,327,824\,q^2\ =\ 1.[/eqn]

>>9648763
Newton's method isn't brute force, my fellow CS-illiterate physishit.

>>9648736
Wtf is a triple of integers?

Ask him about the Monty Hall problem. You'll spend the rest of your lives arguing about it.

>>9648812
(1, 2, -3)
also
>>9648736
>manlets

>>9647999
Try something tame like oscillator equation.

>>9648616
Another jewish problem:
Solve for positive x:
x(8*sqrt(1-x) + sqrt(1+x)) ≤ 11*sqrt(1+x) - 16*sqrt(1-x).

>>9648794
>>>/g/tfo, CS doesn't belong here.

>>9647999
You have 100 pounds of potatoes that are 99% water. If you dry them out a bit so they are 98% water, how much do they weigh.

>>9647999

>>9648886

>>9648886
>>9648892

>>9648763
Moron.

>>9648785
How do you find this?

>>9648879

>>9648921
>needing mathematica
pleb
[math]
x^3 \ln(x) = 4\ln(2) \\
e^{3 \ln(x)} \ln(x) = 4\ln(2) \\
3 \ln(x) = {\rm LambertW}(12 \ln(2)) \\
x = e^{\frac{{\rm LambertW}(\ln(4096))
}{3}}
[/math]

>>9648158
OP BTFO

>>9648879
>feeling this offended when put in front of your CS-illiteracy
ouch mang!

>>9648940
It's called a Pell-Fermat equation. Never actually solved one, but there's some info on Wikipedia. Took this one from the Helios cattle problem btw.

>>9647999
No need to ask for solution.
Ask them to explain the problem.
Why is AVL tree log(n), or the birthday paradox...
Now those arent exactly hard. But some average joe will not be able to explain it to someone just using google.

>>9648968
Just showing that a literal baby can get an answer to this.

Let G be the Heisenberg group of order [math] p^3 [/math] and [math] H\leq G [/math] be a subgroup with elements from G of the form
[eqn]\begin{pmatrix}1&0&x\\0&1&b\\0&0&1\end{pmatrix}\,,\qquad b,x\in\mathbf{F}_p\,.[/eqn]
Let [math] \psi\colon\mathbf{F}_p\longrightarrow\mathbf{C}^* [/math] be a non-trivial one dimensional representation on [math] \mathbf{F}_p [/math], and define a one-dimensional representation [math] \rho [/math] of H by [eqn]\rho\begin{pmatrix}1&0&x\\0&1&b\\0&0&1\end{pmatrix}=\psi(x)\,.[/eqn]
Show that [math] \operatorname{Ind}_H^G(\rho) [/math] is irreducible.

all this tryhard retard shit with overcomplicated symbols... try these:

>Show that R^n and R^m are not homeomorphic for n=/=m

>Show that a simple closed curve separates the plane into two regions

>>9647999
X^X^3=2^4
Not that hard, but makes you think

>>9647999
For a ring [math]R[/math] an [math]R[/math]-module [math]M[/math] is called Noetherian if all submodules [math]N[/math] of [math]M[/math] are finitely generated. Show that [math]M[/math] is Noetherian if and only if [math]N[/math] and [math]M/N[/math] are Noetherian.

>>9648736
What's the math number 1010 mean?
T. Yuropoor with a different education system

>>9649089
In US Schools classes numbered 1xx or 10xx are generally introductory classes. Either for first year undergrads or upper level Arts students who need "a math class" to graduate.

>>9648886
next time learn how to formulate your problem properly

the way you put it 3 additions can be 54 + 1 + 1

>>9647999
nice trips

start with a simple trig or elementary algebra problem, one they could solve easily (something you know they could solve via an online calculator) in order to bait them. Rapidly progress to mind blindingly difficult elementary problems, and take it from there.

>>9647999
Just ask them old Putnam questions.

>>9648626
This

>>9648158
>https://en.wikipedia.org/wiki/Collatz_conjecture#Examples
chart reminds me of BTC

>>9648158
>https://preprint.math.uni-hamburg.de/public/papers/hbam/hbam2011-09.pdf
ez

>>9648785
my bio major brainlet brain thought of hardy weinberg when i saw this

>>9647999
Try using some process stability questions

>>9648229
This.

OP is playing with fire and on the track of conditioning his dopamine response to certain things.

>>9649082
aluffi?

>>9648921
>>9648988
>moron caling other people morons
doesn't surprise me...

>>9649255
>Posts [math]\color{#b5bd68}{\textit{le tricky /sci/ meme question!!!1}}[/math]
>Gets shown that a mindless computer program can solve it
>"n-no ur the dumb one"
Moron.

>>9647999
>I need some math problems that are super hard to fuck with these guys expecting pre-algebra shit.

>>9649316
>/pol/
go back to your containment board newfag

>>9649325
>newfag calling other people newfags

>>9649327
no u, /pol/ has been newfag college ever since it over took /b/ in traffic and post rate

>>9649316
Two groups, one waits 15 minutes in uniform 60 minute interval. Probability is 1/4, not "super hard math problem" gtfo

>>9649335
>Probability is 1/4
WRONG!

>>9649316
Dude fuckign epic meme..................................................

>>9649339
Explain why

>>9649376
If one group arrives at half an hour mark, the odds of them meeting are 1/2 -- best case scenario
If one group arrives at the 0 hour or 1 hour mark, the odds of them meeting are 1/4 -- worst case scenario
Worst case is 1/4 but it can be higher
Tldr you are retarded anon

>>9647999
checked

someone give me a picture for a fake tinder

>>9649397
The probability of the FIRST one showing up at 30 minutes isn't the same as the probability of one showing up at 30 minutes. Accounting for this, the probability is 1/4.

Prove that the field of complex numbers is algebraically closed.

>>9649571
Anon you are a complete mongoloid that I'm surprised is able to post with drool all over the keyboard

I'm gonna break it down to you so that your primitive brain has a chance to comprehend the complex mathematics:
>WLOG we can label the groups group 1 and group 2
>if group 1 arrives first, it will wait for g 2 for 15 minutes. Therefore, it needs to arrive at most 15 minutes before g2.
>if, however, it arrives second, g2 will wait for 15 minutes.
>therefore, for any given time of arrival of group 1, the time of arrival of group 2 has to fall within the 30 minute window around group 1's. That is, taking into account allowed arrival times.
>so the scenario is: pick a random number between 0 and 1. (Time of arrival in hours)
What are the odds that another random number between 0 and 1 falls within 0.25 difference range? Or in other words, for a random t1 between 0 and 1, what are the odds of a random t2 between 0 and 1 satisfying the condition: |t1-t2|<0.25?
>now let's consider some possible scenarios:

>t1 is between 0.25 and 0.75 (the odds of that are 0.5). Then to fulfill |t1-t2|<0.25, t2 has to fall somewhere between t1-0.25 and t1+0.25. That is, there's a half an hour window for group 2 to arrive for the two groups to meet. What are the odds of that? 0.5.
>worst case scenario: g1 arrives at t1 = 0 or 1. Then the window for g2 is 0.25 hours and the odds of success are 1/4. But that's the worst case scenario.
Therefore, it's clear the odds are somewhere in between 0.25 and 0.5.
Let's see. For a given t1, the odds of success are:
p (t1) = 0.25 + t1 for t1 < 0.25
p (t1) = 0.5 for 0.25 <= t1 < 0.75
p (t1) = 1.25 - t1 for t1 >= 0.75
Now all that's left is to integrate p (t1) over t1. No need to normalise anything. And if you integrate p (t1) from 0 to 1, you get 7/16, or 0.4375.

Now kill yourself. Just do the world a favor and remove yourself from the surface of this planet.

>>9647999
In a certain African village there live 800 women. Three percent of them are wearing one earring. Of the other 97 percent, hlef are wearing two earrings, half are wearing none. How many earrings all together are being worn by the women?
From Martin Gardner's Mathematical magic show, probably his books are good places to look for questions.

>>9647999
can any problem that can be done in polynomial time on a non-deterministic turing machine be done in polynomial time on a deterministic turing machine?

>>9648031
use the Intermediate-axis theorem as an introduction to this

>>9648492
>They were problems that were easy to state but were ridiculously hard to exclude Jewish students from entrance to math programs in Russia,
That makes no sense. Are you implying that Jewish prospective math students were much dumber than their "ethnic Russian" rivals? I can assure you that it was not the case, since such a fact would´ve made "ridiculously hard" entrance exams a moot point.

>>9648331
You forgot the final step.

You discover it was a girl all along, but now that you've conditioned yourself to be attracted to a male, you have no interest in her.

>>9650268
>The Mathematics Department of Moscow State University, the most prestigious mathematics school in Russia, had at that time been actively trying to keep Jewish students (and other "undesirables") from enrolling in the department. One of the methods they used for doing this was to give the unwanted students a different set of problems on their oral exam. These problems were carefully designed to have elementary solutions (so that the Department could avoid scandals) that were nearly impossible to find. Any student who failed to answer could be easily rejected, so this system was an effective method of controlling admissions. These kinds of math problems were informally referred to as "coffins". "Coffins" is the literal translation from Russian; in English these problems are sometimes called "killer" problems.

>>9648158
engineer detected

>>9649676
how is this not just 800?

>>9648017
the hard part will be convincing them to help out a frenchman

>>9648158
unironically husbando material

>>9649207
that only really works for women
with all the brainwashing in the world you will be hard-pressed to make a straight male gay or vice versa

>>9650432
>The Mathematics Department of Moscow State University, the most prestigious mathematics school in Russia, had at that time been actively trying to keep Jewish students (and other "undesirables") from enrolling in the department.
BASED

>>9650850
it is
congratis

>>9651660
damn, my new pair of glasses are really making me inteligent

>>9651673
heh, get DOXed, kiddo
pic related

>>9648492
>2
Isn't it a Dedekind cut?

>>9648017
this is:
a) in French
b) sideways
c) second week undergraduate abstract algebra
I hate you fucking frogs so goddamn much

Write 253^2017 as sum of 5 squares (it's not that hard actually, even if replace 253 with most other numbers)

>>9647999
A group of friends of size n likes to play pranks on eachother. As these pranks get rather complicated, they decided to arrange a few brainstorm meetings with some subset of the friends for each meeting. Of course, you cannot plan a prank when the target can hear it. Therefore, after every meeting, all friends present at the meeting have a devised a prank for all friends not present at this meeting.

What is the minimum number of such meetings required so that all friends have a prank for eachother? Show your work.

>>9652372
2. A subset of friends have a meeting and prank all friends not in that meeting, then the group that was pranked have a meeting and prank all those that were at the first meeting
Am i not getting something?

>>9647999
x^x^3=16. You need to know Lambert W function to solve it. Chances are even if they have good knowledge theyll choke on it. I know bc I waste 30min trying to solve this.

>>9648921
Jesus how stupid are you mate?

>>9652485
Jesus how stupid are you mate?

Says the guy plugging in a relatively doable problem in a software bc he's a brainlet.

>>9649316
>>9649343
Someone call the chemical engineers, /pol/ is leaking again.

>>9649316

[math]p=\frac{7}{16}[/math]

Draw a square, of x v.s. y and set the sides and area equal to 1. Shade in the region where [math] |x-y|<\frac{1}{4}[/math] is satisfied. The two pieces not shaded form a square of side length [math]\frac{3}{4}[/math], and area 9/16. 1-9/16=7/16

>>9651706
every real number is a dedekind cut
you need to show that, between any two irrational dedekind cuts, you can find a rational dedekind cut

it might be easier if you think of real numbers as cauchy sequences of rational numbers instead

>>9648921
>the absolute state of applied "mathematics"
i fucking hate you faggots for giving my profession a bad name

>>9652531
>my profession
Nice role-playing.

>>9652535
>i am such a failure i literally cannot FATHOM the idea that some people might be phd students or, god forbid, even practicing mathematicians with phds already earned
I hope you're role-playing.
have an old research paper; monoids are gay

>>9652555
Look at how much I wrote and then look at how much you wrote.

>>9652579
>Look at how much I wrote and then look at how much you wrote.

Judging by how many people have suggested the [math]x^(x^3)[/math] thing I'm going to say 90% of /sci/ doesn't do any math outside the odd /sci/ meme question every now and then.

I mean, is this board really the only exposure to math most of you get? It sure seems like it.

>>9651916
One equation, three unknowns.

There are infinitely many solutions
And just to prove I'm not shitting you:

>>9653243
Just drop out now, dumb undergrad faggot. You're not as smart as you think you are.

>>9653243
There is a solution though all three numbers have like 80 digits each

>>9653304
>says I'm wrong
>doesn't say why I'm wrong
lol try harder next time

>>9647999
>prove that the sum of all real numbers is odd.
>a taylor series except x is pic related
>prove that the set of all numbers does not contain itself
>pic related on its own
>please graph this julia or mandelbrot
>what is 1 + 1 (little do they know its boolean algebra, not arithmetic)
>if x = 0 and y = 1, then what is z if z = c ^ '(t^r) v (r^(c v 't^c))
have fun op :^)

>>9648118
good thread OP

>>9647999
kek'd at this whole thread.

exploiting gullible horny nerds is always funny.

>>9652406
For all pairs a,b in F, with a=/=b, we want a to prank b. So, what you suggest is insufficient, as all a,b internal to the 2 groups aren't pranking eachother.

So, in terms of a graph, we want the complete digraph as a result.

>>9649403

>>9649639

>Just do the world a favor and remove yourself from the surface of this planet.

Jokes on you, I am already in my parents basement

>>9651916
Wouldn't there be an infinite number of solutions?
>t. brianlet freshman

>>9653312
>-2.1481
>positive whole value

>>9648118
>>9648158
based Tyler, OP btfo

>>9651916
This is impossible because all three elements are simatrical.

>>9652406
Because you can have two friends that were in the same group and did not prank each other

>>9647999
Some differential equations will fuck up brainlets who can't see the difference between x and x' . I bet they gonna try to solve it that way first which will provide you another chance to point out how brainlet they are because they can't see the problem and have no chance in getting together with you.

>>9653308
How do you know?

>>9654616
>>9654583
https://www.quora.com/How-do-you-find-the-positive-integer-solutions-to-frac-x-y%2Bz-%2B-frac-y-z%2Bx-%2B-frac-z-x%2By-4/answer/Alon-Amit

>>9653243
>he uses matlab
BRAINLET ALERT

>>9648589
prove what?

>>9648633
wtf is this name
brayden?

>>9654638
Holy shit

>>9648118
kek'd

>>9648158
wait how does tyler just know this wtf?

>>9647999
Please tell me someone has put this on /r/4chan and included me in the screencap.

>>9656327
Because this is all fake you autist. Doesn't mean it isn't chuckleworthy.

>>9647999
here you go buddy

>>9648736
when will they learn

>>9648007
Its P = NP you fucking brainlet, P for polynomial

>>9654597
Better yet, discrete math and finite difference equations

>>9656327

Everyone knows the fucking Collatz Conjecture. Even your dad knows it.

Prove every short exact sequence of projective modules splits.

Show that a Galois group always acts transitively.

Prove that the axiom of choice is independent of the ZF axioms.

Prove that SL(2,R) is a smooth manifold of dimension 3.

Prove that every smooth function is continuous.

Prove that there exists a continuous but nowhere differentiable function by construction.

Show that if K is the Klein bottle, [math]H_1(K)=\mathbb{Z}\oplus\mathbb{Z}/2\mathbb{Z}[/math].

Prove that 2=v-e+f for all platonic solids.

>>9648158
Wtf everyone is Stephen Hawking all of the sudden?

>>9648763
What solution was that? Look below:
>>9648968
You are literally just renaming a smaller function, and providing no mathematical value here. Also, you just copied the 'solution' from the previous thread.

>>9658373
1. I'm >>9648763 . it wasn't me who posted >>9648968
2. that solution is lacking 1 or 2 steps... nothing more

>>9658408
No, the problem as originally stated is indeed unsolvable. As in, there is no elementary form to the solution. Inputting the Lambert W function allows the problem to reduce down to rephrasing some simple algebra. Anybody can do the previous steps of the problem.

>>9658415
>No, the problem e^x=5 as originally stated is indeed unsolvable. As in, there is no elementary form to the solution. Inputting the natural logarithm function allows the problem to reduce down to rephrasing some simple algebra.

This is literally how all special functions are born.

>>9648589
this is the standard model lagrangian not a theorem

>>9647999
Give formulas for the couplings of the quarks and leptons to the
lightest CP-even neutral scalar particle in the minimum supersymmetric
standard model in terms of the parameters m_a, m_z, beta , G_F,
and the quark and lepton masses.

>>9658557
I know that, I have read every page of https://dlmf.nist.gov/.. But the problem statement desired for an answer in terms of elementary functions.

>>9648118
kek