A
Anonymous04/01/26, 22:20No.16940654/mg/ - math general
Fish Edition
249
Replies
A
Anon04/01/26, 23:50No.16942394
How many times larger is the large regular heptagon than the small one? The seven colored polygons are squares.
A
Anon04/02/26, 00:13No.16942501
I am developing a category theoretic model of the Somalian scammer pipeline.
A
Anon04/02/26, 02:57No.16942890
Previously
A
Anon04/02/26, 23:30No.16943952
how do I, someone that failed hs, get good at math?
A
Anon04/02/26, 23:32No.16943955
What happened to /sqt/? It's been some months since I last been here, did the general die and no one bothered to create a new thread? I wanted to ask a physics question, fuck!
A
Anon04/03/26, 17:49No.16944872
A
Anon04/04/26, 00:18No.16945349
>Analysis I and II - Tao
>Linear Algebra - Hoffman&Kunze
>Algebra - Artin
>Differential Geometry of Curves and Surfaces - Do Carmo
>Topology - Munkres
How long would it take to read all these books?
A
Anon04/04/26, 13:19No.16945812
Aren't there situations where you disregard the result of infinity in math?
A
Anon04/04/26, 19:52No.16946098
excess information implies symbolic manipulation, invisible operations decide universal equations
A
Anon04/04/26, 20:13No.16946116
[math]c^2 = a^2 + b^2 -2ab \cos(\gamma)[/math]
A
Anon04/04/26, 23:04No.16946285
How do you explain this phenomenon that an imaginary number is required to produce a number that is actually a real number? For example if you put pickrelated into Wolfram Alpha it never simplifies it to anything that doesn't have an imaginary number somewhere. But yet it is a real number.Does this mean that somehow imaginary numbers serve as a way to have closed forms for numbers that otherwise could not have closed forms?
A
Anon04/05/26, 12:13No.16946757
Does /mg/ have a favourite mathematical proof? Sit and share, anon.
A
Anon04/05/26, 15:20No.16946865
There's a image macro of some very high-tier scientists/ logicians / mathematicians with quotes indicating they believe in god, and on the other side is like bill nye and neill degrasse tyson hyping up atheism. Anyone got it?atheist here but trying to sell my religious friend on math being a good thing they should get into
A
Anon04/05/26, 19:32No.16947097
Lean is so hard. Can't solve this one(Can only use the 3 axioms shown btw)
A
Anon04/05/26, 20:41No.16947233
has anyone tried mathacademy?
A
Anon04/07/26, 18:52No.16951042
What's a good reference on ODE's on manifolds?
A
Anon04/08/26, 00:00No.16951359
i have not yet determined the name of the center of convergence for the sequence of symmedian points of the triangle transformed repeatedly, i'll probably do that when I'm free at some point
A
Anon04/09/26, 01:40No.16952247
Tricky problem for the class. I'll post a solution and some related results next /mg/.
A
Anon04/09/26, 02:06No.16952258
= 5th root of 14
A
Anon04/09/26, 14:47No.16952488
Can someone please find the channel capacity for this channel and the input distribution that generates it?
[math]\begin{pmatrix}
\frac{1}{4} & \frac{1}{4} & \frac{1}{2} \\
0 & \frac{1}{2} & \frac{1}{2} \\
\frac{1}{2} & 0 & \frac{1}{2}
\end{pmatrix}
[/math]
A
Anon04/09/26, 18:52No.16952628
Topology is so beautiful, bros.
A
Anon04/09/26, 22:58No.16952827
how do you prove that there is no set whose complement is also a set
A
Anon04/10/26, 01:06No.16952858
Anyone learn to do competition math here? Was it worth it? I learned to olympaid-type inequalities over the last year or so, and I finally got fairly decent at it after ~250 hours or so. Planning on moving onto FE next, or maybe Combinatorics (but this topic seems fairly broad, would probably need to spend double the hours to get a decent grasp)I already have a stats degree (with minor in pure math), but I want to get better at problem solving.
A
Anon04/10/26, 16:23No.16953210
I find it so incomprehensible how pure math PhDs are this smart, but deal with the most unpractical shit that has no use at all to society in any shape or form. Like do they not have any kind of cognitive dissonance or anything where they actually think about the worth they're giving to society?
A
Anon04/10/26, 21:39No.16953504
i dont know shit about the classification of simple groups
if its finite group, does that necessarily mean that its isomorphic to some set of rotations in an n-sphere?
bc all elements must be of finite order, so its like spinning a ball around
A
Anon04/11/26, 20:50No.16956514
its up!
A
Anon04/12/26, 11:33No.16957078
The four identical rectangular pieces put on top of each other form a square. Each piece can be moved around individually inside the square frame. The yellow piece must be maneuvered through the slit in the bottom of the square frame. The slit is positioned exactly at the middle of the bottom side of the frame and it is as wide as the shorter side of the yellow piece.If the square made by the four pieces has one unit side, what is the smallest possible side length the square frame can have so that it is still possible to maneuver the yellow piece out from the frame through the slit?Can we have a closed form answer for this?
A
Anon04/13/26, 03:35No.16957693
wtf is all this trig posting? some schizo off his meds or an AI spam bot?
A
Anon04/13/26, 04:12No.16957701
I love sucking dicks
A
Anon04/13/26, 04:38No.16957710
How do I prove that this induction principle implies the usual one?
If [math]A\subseteq\mathbb{N}[/math] with [math]0\in A[/math] and such that [math]n\in A \leftrightarrow n^{+}\in A[/math] then [math]A=\mathbb{N}[/math].
Apparently this is true but I can't figure it out.
A
Anon04/13/26, 16:04No.16957963
hahahaha what the fuck
>All elementary functions from a single operator
https://arxiv.org/html/2603.21852v2#S2
A
Anon04/14/26, 10:44No.16958445
How many different neural networks can I build if I constrain myself to have the smalles NN be 1 neuron and largest NN be n by n neurons? Of course you can't have a layer on top of a non existing layer and position or order of the neurons within a layer doesn't matter, only their count.
I have made this equation, but haven't proved it:
[ math ] C_nn = n^{n-1}(n-1) + \sum_{i=1}^{n-2}n^i [ /math ]
It would be nice if somebody double checked it.
A
Anon04/14/26, 17:08No.16958533
Realised now that my entire math education leading up to university was simply teaching me how to quickly and efficiently solve tests, the way you would teach a monkey how to write a novel by having it memorize the correct sequence of button presses that result in a novel being written instead of teaching it how to read and write. I now have to relearn late high school tier math from fucking ground up in order to understand what is happening instead of solving equations like a computer
A
Anon04/16/26, 15:47No.16959465
Lean is definitely ready for the average mathemati-ACK!(The issue was that I didn't cast 0 as a real number, but the error message didn't say that :D)
A
Anon04/16/26, 20:40No.16959630
Suppose you have a chain of galois connections [math]f \dashv g \dashv h[/math], say [math]f[/math] is order-reflecting if [math]f(x) \leq f(x')[/math] implies [math]x \leq x'[/math].
Is it true that [math]f[/math] is order-reflecting iff [math]h[/math] is?
A
Anon04/17/26, 01:42No.16959784
Genuinely where did everybody go? I remember when this general used to hit bump limit within a couple of days at most, now it's basically dead... :(
A
Anon04/17/26, 02:13No.16959806
I haven't touched math since 2009
A
Anon04/17/26, 13:41No.16959945
>just memorize this and apply it to everything until it returns one of the multiple choice answers
>if it doesn't do one of the other 5 things you were taught
>no you don't have to understand
My teachers were so shit at teaching math it is incredible. Did you math nerds all have good teachers?
A
Anon04/17/26, 14:51No.16959963
>The humiliation of having to look up the answer after struggling for daysHow do you deal with this feeling
A
Anon04/17/26, 17:21No.16960040
ive been studying non stop for a test for the past 3-4 days and now i have even more work for a test in 3 days i feel like im gonna die
A
Anon04/20/26, 13:19No.16962049
i dont think im making it
fuck
A
Anon04/20/26, 23:35No.16962315
Fix an integer [math] n\ge 0 [/math]. Find the smallest positive integer not expressible as a signed sum (i.e. adding or subtracting) of distinct elements of [math] \{2^n, 2^{n-1}3, 2^{n-2}3^2, \dots, 3^n\} [/math].
A
Anon04/21/26, 19:16No.16962780
Seven frogs sit on seven water lily leaves, one frog on each leaf. Then all the frogs jump out from their own leaf randomly to any one of the six other leaves.What is the probability that, after the frogs jumped, each leaf has exactly one frog like in the beginning?
A
Anon04/21/26, 20:10No.16962795
I studied 3 goddamn hours today. I don't even know what General Topology is useful for.
A
Anon04/21/26, 20:25No.16962804
I've read the last chapter of "Introduction to Financial Markets", which looked at derivative markets. It says that the these really complex custom-made derivative strategies (e.g. where the rate is a quadratic of another thing), are still so precarious, (a) because of poor regulation, but (b) also because accounting fails to properly communicate and summarise these positions.
In the same way that negative numbers arose from the need for debt, maybe new algebras or systems can be devised to succinctly describe a derivatives strategy (e.g. covered call, spread, swap)?Don't have much to add myself since I still need to think it over but apparently some people are trying to apply category theory to it.
I think maybe a typing systems or the concept of languages from computer science could be useful here.
A
Anon04/22/26, 19:20No.16963311
I have studied this shit for year and I still can't genuinely justify[math] I'(p) \propto -\dfrac{1}{p} [/math]for surpsial beyond saying that
[math] I(p^n) \propto n\, I(p) [/math]
or
[math] I(p\cdot q) \propto I(p) + I(q) [/math]
is handy to work with.In physics, additivity is resulting from our equations being written down as differential equations. We can argue that this is ad hoc as well, but at least we see good applications of our simple theories.In information theory, there seems to be no good justification for the whole theory being developed with additive information other than it being nice.
A
Anon04/23/26, 05:46No.16963589
I got an A+ in graduate functional analysis. I'm so smart bros.I'm also starting to write a paper and it fucking sucks. I have no idea what I'm doing. My supervisor says we have a publishable result but it all feels so finicky and barely holds together. I also have no idea how to choose the notation for a generalized write-up of what I've done.
A
Anon04/24/26, 04:38No.16964071
there used to be this google drive full of math books, do you guys know if it's back up/been reuploaded?
A
Anon04/24/26, 07:49No.16964112
Gromov + Thurston proof of Mostow Rigidity
A
Anon04/24/26, 08:20No.16964121
Doing an internship at a lab and my work is turning to be mostly optimization when it was sold to me as algebraic geometry, wanna kms
A
Anon04/24/26, 14:48No.16964249
Just learned about sheaf cohomologies through Abelian categories. They're actually pretty cool especially how the de Rham cohomology just fits so nicely.
Never thought I would see the day where I can actually understand what these things are about. Category made homological algebra so much easier for me.
A
Anon04/24/26, 18:08No.16964358
Does the following problem have a closed form answer?>draw ten points on a flat piece of paper
>find the two points which are closest to each other and measure distance between them, call that distance A
>find the two points which are farthest away from each other and measure distance between them, call that distance B
>what is the maximum possible value of A/B?
A
Anon04/24/26, 18:24No.16964367
is there some kind of new big trend were being pregnant is cool now?
I've seen at least 5 different visibly pregnant undergrads just this semester.
Am I just getting better at noticing pregnant women or is something up?
A
Anon04/25/26, 16:37No.16965056
I bought this triangular shaped twisty puzzle and I was wondering how many combinations this can be in. How do you calculate that?Along any of those cuts, the puzzle can make a 180 degree twist. So you probably have an idea how it can make different combinations. And as you can see it has five sides each having a different color, although all of the colors are not visible in the image.
A
Anon04/26/26, 03:55No.16965436
I’m taking an analysis class covering the content of baby rudin. A recent homework problem asks us to prove that the shortest path between two points in the Poincaré upper half plane is given by the arc of a circle. AAs far as I can tell this has fuck all to do with anything we’ve covered. My question is, am I being trolled? Is this a problem I should actually be able to prove just from rudin?
A
Anon04/27/26, 17:41No.16966185
The sine of the angle between two diagonals of a rectangle is
sin(α) = 2/(a/b + b/a)
kinda cool
A
Anon04/27/26, 17:55No.16966191
how do I prevent myself from becoming a pseud
A
Anon04/28/26, 09:49No.16966597
I got an A on my real analysis final
A
Anon04/28/26, 10:13No.16966601
What's the most surprising theorem about covariances?
A
Anon04/29/26, 16:55No.16967331
my math professor said academia is fucked and all good research is done in industry. a tenure track professor quit his job to work at a start up. is this unnecessary doomerism towards academia or is it truly fucked? he specifically told me to avoid pure maths.
A
Anon04/30/26, 03:40No.16967606
anyone know if any of the /mg/ discords are still active? took some time away to focus on industry and now want to show some shitpost proofs
A
Anon04/30/26, 10:08No.16967708
50% flash sale for all springer books currently until may 2nd FYI.
A
Anon04/30/26, 21:21No.16968015
>Get stuck on exercise for 8 hours
>WHY IS THIS SO FUCKING HARD
>Go back and read the instructions again
>Actually read it
>They explain how to solve it
>Solve it in 10 minutesI feel retarded
A
Anon05/01/26, 08:52No.16968271
Can someone explain to me what's a coproduct, I asked my professor what's the difference between direct sum and cartesian product. He said direct sum is a cartesian co-product. I'm too brainlet to understand this
A
Anon05/01/26, 14:49No.16968463
Calculus depends on uncountable sets to produce interesting results; the Lebesgue integral of [math]f:[0,1]\to\{0,1\}; x\in\mathbb Q\mapsto0, x\notin\mathbb Q\mapsto1[/math] is [math]1[/math].So in some sense, "quantized" behaviour is analytically irrelevant.What does that imply then for physics and physical limits? As I understand it, there is some minimal unit, the Planck length, in which physics can happen. Then, how does a path integral work, when a particle can only occupy a finite amount of spaces between any two points?How do physical approximations even work, when calculus depends so fundamentally on uncountability, which is probably not a physical concept?
A
Anon05/02/26, 04:21No.16968808
Anyone has a god resource on solving cryptographic/finite field problems?I have this problem I'm trying to solve, for which there might not be a solution:
[code]
s = known array of bytes
k = unknown 63-bit value
o = unknown array of bytes, same length as sConstraints:
for all i in 0..9: 32 <= (k >> (7 * i)) % 128 <= 128f0 = xorshift64(k)
o[0] = s[0] ^ (f0 % 256)
32 <= o[0] <= 125
f1 = xorshift64(f0)
o[1] = s[1] ^ (f1 % 256)
32 <= o[1] <= 125
...
fn = xorshift64(fn-1)
o[n] = s[n] ^ (fn % 256)
32 <= o[n] <= 125
[/code]Once I solve for k, I know getting s is trivial.
I already tried SAT solvers like z3, but I couldn't derive enough useful constraints to solve it in a realistic time.
A
Anon05/02/26, 22:17No.16969202
I feel really sad. I wanted to see how far AI advanced. I used Gemini and Claude. I picked a topic I am not familiar with and just started prompting it. It took 4 days to write a manuscript. It found a genuine problem that I confirmed is relevant and not addressed anywhere else, and it produced three significant theorems towards that topic. All in four days. Hell most of this time was just spent with me familiarizing myself with the topic enough to even understand and confirm the proofs.
I feel fucking empty. The last paper I published I worked on for two years. It was a messy process and I gave up and came back to it at least a dozen times. I had 200 pages worth of messy notes and god knows how much more that I deleted. But it was fun and when I finally finished it, it was beautiful. And getting it published was so nice. And now AI just writes an objectively stronger paper in 4 fucking days.
A
Anon05/03/26, 18:28No.16969670
has the math sorcerer finally lost it?
A
Anon05/05/26, 03:45No.16970428
Mid-day breakdown about transfinite arithmetic again.
A
Anon05/05/26, 20:51No.16970719
I've been trying to get into Project Euler recently. Most of their problems start with a basic pattern of some kind, but then ask you to find the value of the 10^16th value or something like that. It's easy enough to produce code that will generate the answer, given enough time, but they say that 'an efficient implementation will allow a solution to be obtained on a modestly powered computer in less than one minute.'
That's the problem- I'm stumped on how to make my program more efficient. This one, for example, is supposed to determine the number of base-3 numbers (converted to strings of a given length, with leading zeros as needed to reach that length) which have no more than 2 consecutive zeroes and no more than one '1'.
I've dealt with the first restriction by excluding all values $i$ for which $\exists n \in [3,30] | i\mod3^n<3^{n-3}$, since that would result in 3 consecutive 0s anywhere.
Any advice for improving my program or dealing with the second restriction?
A
Anon05/06/26, 10:13No.16970975
>one system of measurement is not greater than another, but a different system of measurement for producing products can protect the patten from scam artists. protect jobs from being outsourced, thus its actually superior to keep the imperial system over metric.
>day month year 1/1/1111 is inferior to month day year because when retrieving archived information, its more logical to narrow the file to the month first.
what other reddit lies about numbers did your European retards try and enforce on to you?
A
Anon05/07/26, 04:38No.16971538
Im starting to learn trigonometry for real again to make myself less retarded, wish me luck
A
Anon05/09/26, 17:24No.16973148
>mathematicians learn a subject caled "real anal sissy"
A
Anon05/09/26, 19:42No.16973220
I'm studying applied math. I haven't learned at application yet.
A
Anon05/09/26, 21:13No.16973276
Can I create this at home?
A
Anon05/10/26, 03:31No.16973437
>it’s going to be hopeless to do mathematics for a living
>even if you want to be a coworker with AI, you need to be born in the rich parts of the world to have access to the best models or some rich faggot will just mog your work
It’s unbelievable how badly we’ve fucked this life up.
A
Anon05/12/26, 20:52No.16975108
Hello, hope this is the right place to ask, so I am trying to learn mathematics "from scratch" start with arithmetic, I tried this a while ago and postponed it but I got sick of dealing with so much paper, I got an e-ink tablet and I will be trying again to make it work with that instead and save my exercises on pdf and send them to my laptop, is this a good setup or retarded? Whats your set-up for learning new math?
A
Anon05/14/26, 23:29No.16976244
What is the least autistic field in pure math
A
Anon05/15/26, 21:21No.16976777
What is the surface area of one blue circle? The circles of same color are same size.
