#serious-discussion
1 messages · Page 333 of 1
#geometry-and-trigonometry - euclidean geometry, coordinate geometry, trigonometry
The only person allowed to derogatorily call me autistic is myself
:P
I genuinely want to throw things at people who say that shit so casually it's so fucking rude like...eugh
I agree
My parents agree, but ultimately believe I’ll find a way to make it useful and I really appreciate them for that. My family is squarely in the middle class, and they at least haven’t expressed directly a need for help financially from me. It’s really just my mentors who’ve been pushing this on me. They’re at my school and they’re all engineering phds and postdocs. I assume they see me doing good in physics classes and they want me to get into engineering bc of that, and it’s much more stable, that’s objectively true. I guess I’d like to believe that math is just as stable or not as hard to get a job with than engineering
@neat lintel There's a whole course in my high school for medical terminology.
In electives.
word, yea I learned it when I was proofreading court transcripts. some of those medical expert witnessess will say some crazy stuff, and maybe the stenographer catches it, maybe they don't, but I'd have to listen to the recording and just be like "oh yea he said Histiocytoma" lol
Yea
XDDD
I have like, a very slapdash and half-forgotten memory of it, but at one point it was really convenient XD
it really is a LOT of info packed into one word
Yeah
I used to suck at reading Latin as a young kid but I've seen so many Latin medical words that I know how to pronounce them now even without hearing them before, like Histiocytoma because it's a combination of words that I've heard before.
Can you do that too with other words?
oh 100%, English spelling is weird, but I'm actually an american copyeditor, so like, generally speaking I have a pretty good intuition nowadays for how a word is pronounced, cause I can kinda vibecheck the language sometimes, if that makes sense? I mean I'm sure you too to a degree: like rendezvous is very obviously french, so you don't pronounce some of the letters and such; and anything with cyto is like, yea that's definitely a soft c because that combination just doesn't really show up in any other way
English spelling is insane though, plenty of people will mispell stuff or mispronounce stuff all the time, it's just kind of a bad system cause it draws from so many languages
Exactly!
Yeah, I still learn new words every day and I'm a native speaker
yea nah it's insane, I can't think of a really good example but like, it's rough
I usually go with like, jean, bean, seen, sean.
and it's just like, cmon guys lmao
Mhm
Exactly, the only way to know how to pronounce those ones is to hear it first and practice writing it and stuff
Otherwise you can only guess.
international phonetic alphabet is really handy but no one really knows it
if you memorize the vowels though, it's kinda nice
i tried to learn it but it was hard
Yea! and then you can just google the word and see the phonetics for it
yea it's pretty awful lol, and it's like, most times you just don't have a reason to use it
Exactly
somehow it works, but English really is kind of a dumpster fire lol
the benefit is that omg, it's soooo flexible
Yea!
I wish we could like burn English and create a new language that has the least amount of flaws
y'know?
yea I think it's just kinda the nature of the beast, it's gotta be double-edged sword. I think if you really tried to clean it up and contain it, you'd get rid of a lot of the chaotic slang that makes it so interesting
That's true
Yea
I g2g but i want to throw you a random aesop rock line hahahaha, he's got really fancy english sometimes
but all I found that's good is this phrase: two-faced soothsaying
which pretty much has every flex-y english thing I was thinking of lol
face -> faced, sooth -> sooth- (as a prefix) in particular. it's just cool how you can just kinda ignore what's "supposed to be" a verb noun or adj
Interesting!
Actually, I've never formally learned like verbs and nouns and stuff.
I always google them but i forget them the next day
my grammar is just from pattern recognition
I don't know what a conjugate sentence is or a clause etc
It never clicks in my head because it requires understanding of previous stuff like verbs etc and i don't know those either
It feels so circular and like you have to already know it to know what it is :((((
Like what even is a clause :((( the only clause I know is santa-clause
11 year old me and today old me can't understand this
Predicate as in first order logic? /j
realistically, it's just this:
if you can put "the" in front of it, it's probably a noun
if you can put "to" in front of it, it's probably a verb
if you can use it to modify something else, it's probably an adjective
But! basically, they can just flex to whatever. You can use nouns as adjectives (firetruck, garage door, model validation assessment review)
you can use verbs as adjectives (the wracked nerves, the thrown ball)
you can use verbs as nouns (the reckoning, the happenings of today)
it just gets so flexible, that honestly, pattern recognition and just remembering shit is just better lmao
the grammar describes the usage, generally. Sometimes you just say something and people don't udnerstand and it all goes wrong, but realistically, the rules are definitely just guidelines
you split up a sentence into clauses when you add commas, colons, semicolons etc
if there are none then the entire sentence is one clause
Thank you both so much it's definitely clicking in my head now!
I've seen lots of examples and now I'm remembering them.
That makes sense now with the definition from google
@placid shadow i really g2g grocery shop before the weather gets too cold lmfao but I will slam this to you as just exemplary English. I've tried to write a verse under this restriction, it's impossible to say anything. I think it's really cool https://www.youtube.com/watch?v=BU7m2CNq_9c&list=RDBU7m2CNq_9c
Music video for Nutshell performed by Phife.
http://www.smokinneedles.com
https://twitter.com/iamthephifer
https://itunes.apple.com/us/album/nutshell-single/id1098107554
Copyright (C) 2016 Smokin' Needles Records.
Powered by http://www.vydia.com
Tysmmm, and goodbyeee!!! Have a good shopping experience.
This is so good!!! 🩷
Reminds me of Eminem, I love lyrics/songs with creativity.
He looks like my uncle 💞
@glossy rock When you are helping, your goal is to make the helpee solve it themselves. So instead of saying sth like "Lance speed = 25km/h" (even if its not the full answer), try asking the helpee to start by calculating lance's speed. If they arent able to do that, try to tell them how.
and try interacting with the helpee a bit more, not just presenting and explaining the solution
alright, great
I've used Typst for most of my notes, and so far it has worked well. However, I could see potentially difficulties, when I have bigger assignments coming up, which requires ex. specific formalia, which they provide in Tex format (as templates).
Have any of you dealt with issues like these? Or in general using some non-tex:lang?
a bit but im pretttttty sure theres like latex-to-typst converters somewhere out there
Well - why haven’t I thought of that. Thanks
Anyone know of brilliant.org or know of alternatives? i was doing well with gamified services my school had, but i havent been able to do as well with notebooklm and pdfs of my textbooks and youtube tutorials. I cannot study the traditional way, i know a level maths is meant to be hard but its been 3 months of cutting things out of my life and i still havent gotten to where i should be in terms of studying.
What are you looking for? Something to help with studying a level maths? What maths in particular are you looking for with help?
algebra but like i dont see why 1 service wouldnt have multiple course topics
linear algebra
im in year 1 of a levels and its about to get hard but i barely made it past gcses
Have you looked at Gilbert strang’s linear algebra YouTube videos?
Sorry, I’m us based. What’s gcses?
Ohhhh okay. So now I get it. You’ve had calc though right?
and as and a levels are the challenging university enterance omes
i dont think so
So for high school level algebra, the best place for me to learn it was Eddie woo on YouTube. But honestly, that stuff is a lot of rote practice.
Anki works for me but it is only beneficial if used very correctly and helps form high level reasoning, using it for low rote level learning would be detrimental ig. I wouldn't use it for high school level stuff.
Nothing replaces problem solving though
Right. You just gotta solve a ton of problems.
i was thinking of gamified services because ive been trying to follow textbooks and youtube and yeah im struggling because ai isnt able to make the same questions seneca (the platform i used for 5 years, i used alternatives alongside and before that) is gone
lowkey school brainrotted me
Gotta train yourself to get that dopamine hit from solving a problem correctly.
but i have so many exams and other stresses, its hard to 'loose yourself' if you get me sometimes? how do you manage that if you dont mind me asking.
Burn out is real man. It sucks. Everything @slow pier is saying is correct though.
no yeah i see it man
The best way imo to deal with burnout is to just slow down, take a breath. Hassle free learning is the best kind
Honestly, you gotta lose yourself in it. You gotta push everything else out the window.
But I see your time constraints
yeah i cut everything of if you get me
i never used like short form video, quit cycling and all of that stuff. its like im basically glued to my chair for the past few months but nobody said this was going to be easy i guess
thanks for the advice so far, i have to sleep for exams in a few hours but hopefully i can pull this of
You should read Deep Work when you have time later
noted
hey chat
what guys do you want for Christmas?
Some girl is ragebaiting discussion 1 so I'm here
All I want for Christmas is youuuuuu
AM went into my mind. He walked smoothly here and there, and looked with interest at all the pock marks he had created in one hundred and nine years. He looked at the crossrouted and reconnected synapses and all the tissue damage his gift of immortality had included. He smiled softly at the pit that dropped into the center of my brain and the faint, mothsoft murmurings of the things far down there that gibbered without meaning, without pause. AM said, very politely, in a pillar of stainless steel bearing bright neon lettering: HATE. LET ME TELL YOU HOW MUCH I'VE COME TO HATE YOU SINCE I BEGAN TO LIVE. THERE ARE 387.44 MILLION MILES OF PRINTED CIRCUITS IN WAFER-THIN LAYERS THAT FILL MY COMPLEX. IF THE WORD "HATE" WAS ENGRAVED ON EACH NANO-ANGSTROM OF THOSE HUNDREDS OF MILLIONS OF MILES IT WOULD NOT EQUAL ONE ONE-BILLIONTH OF THE HATE I FEEL FOR HUMANS AT THIS MICRO-INSTANT. FOR YOU, HATE. HATE.
it snew
berdly is a blue bird
I don't have a bluebird emoji
@everyone
That doesn't work lol. They predicted it before
nice try...?
If you're going to be an asshole, be an original asshole; is that too much to ask?
I am in a bit of a very difficult situation at least for me. I would like to talk to someone, that maybe has a PhD in math, or is a PI, or a professor, or a career/life advisor. I can write it here but it would be a wall of text.
hello. write it down so i can see what can i help u with
I’m about to start a fully funded PhD in mathematics in about 4 weeks, and I’ve never been this anxious in my life.
I feel like I somehow cheated the system by getting this offer. I’m not the smartest student, I was never top of my class, and my grades were very average (roughly a 3.5/4.0, equivalent to a UK 2:1, converted from my country's grades). I was also honestly kind of lazy during parts of my degree. I didn’t grind all the time, and I definitely wasn’t one of those people who lived and breathed math 24/7.
I got the PhD offer partly because my prospective PI works on essentially the same topic as my MSc thesis, and he actively wanted me in the group. Also I have a feeling, due to how late I got the offer, that I wasn't the first choice, and I got one only because someone else withdrew/refused. Emotionally, it still feels like I just got lucky and slipped through.
On paper, the situation is good. I like the research topic, and the PI seems genuinely kind and supportive (his previous PhD student spoke very highly of him). I also know that for the kind of career I want (industry research / applied research roles, not academia) a PhD is almost a requirement.
And yet, now that everything has become real very fast, I’m falling apart. (cont)
A year ago I couldn’t wait to go. Now I’m not even sure this is the right choice anymore. I’m trying to understand whether this is just anxiety about traveling, leaving my comfort zone, and changing my life so abruptly, or whether this is my brain genuinely saying “stop, this isn’t right for you anymore”.
Sometimes I catch myself thinking: if I didn’t have anxieties about the culture shock, the new environment, moving to another continent, being alone, the high cost of living, the food, my allergies etc., would I still want to do a PhD? And honestly, I don’t know. I think the answer is yes, but then I immediately follow it with I don’t think I’m good enough, I don't know if it will get me a job I love, or will end up where I am now, doing something I don't like.
Right now, both choices feel equally terrible.
Not going feels like permanently missing that train and never having the career I want (even though a PhD obviously guarantees nothing).
Going feels like I might be fucking up my life, and if I don’t make it through, I’ll have lost 6 months to a year for nothing. I honestly think I would regret either decision. (cont)
What really scares me is my perceived lack of ability. I remember plenty of times during my MSc when I couldn’t solve an exercise or prove something on my own. If that already happened then, I can’t fathom what will happen during a PhD, where you’re supposed to create new knowledge. I can’t tell how much of this is impostor syndrome and how much is a real mismatch between my abilities and the demands of a PhD in mathematics. That uncertainty is what scares me the most.
Starting at 29 also makes everything feel higher-stakes. I don’t feel like I have infinite retries left, which amplifies the fear of failing and “wasting time.”
Sometimes I seriously think I should just compromise: get a job I don’t love, but that pays the bills and doesn’t constantly make me feel inadequate. At least that path feels predictable.
And now that I have talked to a lot of people about this opportunity, I feel like I am stuck in my decision, that I would fail me and them not going.
Some people (my advisor included) told me "just try, if you don't like it in 6 months or 1 year, you can drop out", but it still feels very wrong, and scary.
I’m not looking for blind reassurance that “everything will be fine.” I’m genuinely trying to understand whether what I’m feeling is normal pre-PhD anxiety, or whether these are red flags I shouldn’t ignore and should withdraw, I am not in a good mental state right now.
Is this the first time you are experiencing this sort of anxiety?
This level yes. I am a generaly anxious person, but I usually manage, these days it is through the roof
It really does sound like a lot of this is impostor syndrome
And dealing with impostor syndrome really is quite difficult
i felt exceptionally shit when i got my PhD offer from my university too, cause i got rejected from everywhere (mix of overshooting and political circumstances) when i applied to the USA, and my undergrad university was very kind to let me stay
even now, 5 months in, i don't feel like i deserved the position, and day to day i feel like i don't do enough for myself
i just gotta learn to cope with it
also mental health struggles, so I'd also recommend reading similar posts on Academia Stack Exchange
During my undergrad years, one time we had an event where we had a few professors sit on a panel on their experiences in academia
And impostor syndrome is certainly something that came up
One audience member asked about it and there was pretty universal agreement in the audience that they had experience impostor syndrome to varying degrees
I’m a high school student, but imo this isn’t typical anxiety levels for a person pursuing a PHD, I believe that it’s definitely a call to think about things such as if this is healthy or not for example.
And the faculty members agreed! They too had impostor syndrome that they struggled a lot with
something similar happened in my university during the graduate induction too, even the professors were saying they had it as phd students and junior faculty
I also know multiple people who started doing their phd in their 30s
It is not "normal" but it isn't uncommon either
thomas where are youuuuuu
if the PI is kind and supportive, consider talking to them
We can't just talk at you
Here
My advisor seemed very supportive when I talked to him about these things (of course with another tone, without mentioning me wanting to withdraw)
My main issue is that I have never experienced this level of anxiety, and i struggle alot dealing with it. Also the fear of "what if I can't do anything" is very intimidating
And I sway almost everyday between "I really want to go" and "I am withdrawing"
I was also scared that I wouldn't be able to make meaningful research progress when I started my phd
Like doing research is very different doing course work right
And there were some courses that I struggled with during my undergrad
Many many many problems that I just couldn't do
But!
The admissions committee looked at what I had done and decided that they believed in me and my ability to produce future research
These people are not clueless about what it takes to do research right
It is just scary doing something completely new. I'll be honest, one of the main reason I applied is that I just missed math, in my job the most advanced math i see is fractions. I really missed looking at theorems, theory ecc, but it is quite scary having to create something new, proving things never proven before ecc. As I said, I wasn't the student that could look at something and immediately know how to solve the exercise or prove a theorem, I was an average student, and I feel I am overshooting with trying a phd
with the given competition, im sure the faculty sees something in you if they gave you the offer
Also right now I am doing a fairly straightforward job, boring, pays average, don't quite like it, but it gives me no stress. I have no idea if I can take the stress of a PhD
I feel like I want it, but I don't know if I am just idolizing it too much and in reality I just want a more fulfilling job
i would say shoot your shot
i dk if the phd is right for me too, but i think i will regret it if i didnt try
would spend my life thinking "should i have done the phd instead" or something
To give some perspective on my mental state right now. I just got out of the shower and thought "I can't wait to go to Singapore (I live in Italy)", then 5 seconds after it was "the climate sucks, my food allergies are a problem, I am completely alone there, ecc"
Whose in ur pfp he looks like Miyamura
where?
Where what?
Milan
ah no pensavo intendessi zona 4 ATM ahahaha
si esatto, sono quasi verso sesto, ma faccio avanti indietro sesto-monza-milano
ci sta
hiii
Haii
hello hru?
Gud, you?
gr8 same here
yayy
so what were you doing?
I’m supposed to be doing maths 😭
Procrasinating ig
lmao same here
What topic do u have to do?
lmfao i just got distracted and ended up playin mc w friends
dude im trippign istg
im sorry, i am tripping so bad that i just mention a pansexual person ,dude ,brother for like 10 times straight
Yea get some sleep 😵
i should defo consider that
This sentence did not read right in my mind 😭
let me rephrase it😭😭
If u want 😭💔
ya i just did it😔
🤨
did whar
same twin😔😔
It’s okay gng 😔
i wish it was😔
Bruh 😵 don’t give up now
YEAS IM MOTIVATED NOW
(TO PLAY MC)
I MEAN STUDY
bywww
how long does it typically take you guys to get through a math textbook?
More seriously, I don't think there's a "typically", this will hugely depend on the textbook and reader.
More than one year would likely be excessive in most cases, but there are textbooks that cover multiple semesters worth of material
I’ve never studied one except for calculus on openstax, and it took me like 2 weeks to get through half of the first page, and it has 800 pages.
My friend learned Stewart’s calculus in a year because he procrastinated a lot
Definitely. I'm sticked myself with same books since 2021.
Better than me.
I mean, #1059828221887135774 took about three years.
im feel less stupid now lol, ive spent like 8 months on the same book (cos im lazy and dumb and a slow reader) and im still barely half way through it
That’s okkk!!!!
The point of a book isn’t to finish it in 1 second but instead to understand it right?
the secret is we're all stupid and that's okay
Also, you can skip unnecessary things
Again, depends on the book, but largely yes
Yea true
Slow progress is better than no progress. Just increase your pace accordingly.
yea i guess so!
Who are we?
Anyone that learns math
Let's have competition, who read book more nicely.
idk bruh i just work here
I just came here.
How many genders are there? I don’t know I just got here
Haww! You're able to post gifs.
the book isnt as theory dense though, its the popular book 'how to prove it' by velleman but i still dont understand it as much as i should
why my lvl is noy getting up
Yea I’ve had the active role since like the first week I’ve been in this server
Math knowledge?
i have desent knowlege
It's been month(may be year), i didn't get the active role.
m new to discord how i can check my lvl 10 to sends picks
Oh! Active role. Here I'm years old. You just came and want everything in a minute. Huh!
i just want to get the permition of sending picks
You have to get the active role.
Or go to #chill
Go to #chill you can share images there.
im enable to send my game achivement in gaming server becouse of lvl restriction
You're in wrong server then I guess.
hi
Yo
get through as in>
i have never made it through a math textbook
im currently procrastinating analysis, i dont even know how many months 

sure
with infinite terms does it converge to the inverse properly?
DisOneGuy
holy yap
the sum essentially counts how many n where x > f(n), so if x = 5, and k is the last integer wherer x > f(k), then naturally we would solve for x = f(k) where the sum increases, and so k = f^(-1)(x) at these certain points, where as there is a bit of an overshoot otherwise.
$\sum_{n} \int{dn} \approx \int \sum_{n} dn$
Yeatte
im still processing the steps after the original inverse one
seems like essentially $\int^k{f^{-1}(x)dx^k}$ but only for the integers, im just a little dubious of the integration step within the sum
Yeatte
reminds me a little of difference operator
for like discrete calculus
N just means the upper bound of the domain for what you want an accurate invverse for
ideally infinite
$\frac{1}{2}\sum_{n=0}^{\infty}{(\sign(x-f(n))+1} = f^{-1}(x):x\in\mathbb{N}$
Yeatte
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oh, i think this works well only for functions that continue to increase
right?
ah, yeah, 1/1+x^2 mmm
ln(x) -> 8 as x-> 8 so itll work fine
8 being infinity
hm, for 1/1+xx because it decreases instead of continutally increases, it counts more than should get counted at the start leading to quite an inaccurate inverse approx :\
y=1/sqrt(1+xx)
1/yy = 1+xx,
sqrt(1/yy - 1) = x, 
I'm high on phone.
so
-sqrt(1+x)/x + 1 isn't the best fit graph, its -sqrt(-1+1/x^2)
instead of N/2 on the outsidfe of the sum, you can lump it back into the interior of it via the -1 i have in there
and i think that ends up counting all the f(n) < x this time
down to a certain level
determined by N
yeah
really just examining whats going on within the sum
the sign(x-f(n)) +-1 function 
and bounds ig 
itll def work for gamma, im jjust not sure how useful itll be cuz its diescrete
maybe if you do a little \sum -> \int limit shenanigans

reminds me of a thing
for partial sums
$\sum_{n}^{x}{f(n)} \approx c + \partial_x \sum_{n}^{x}{F(n)}$
Yeatte
of course, d/dx would actually act on the contintuation of the summation operator rather than the discrete one but ye
i used it to get the gamma zeta series some time ago, very fun
Cooool!
Maybe the same reason how I put 1/2 before stuffs.
i was thinking that as well ye
and then prob the +x cuz of the +1 in the discrete
reminds me of this thing i did recently
$\frac{1}{f(y)} = -\frac{p}{\ln(1-p)\operatorname{sign}(f(y))}\int_0^\infty{\frac{1}{e^{w\abs{f(y)}}-p}dw}$
Yeatte
not quite an inverse, but still fun
🥳 
sign function b places huh
It's really nice of a function!
the integral seems to be exact beyond a certain point, that is quite malleable
It's like the Middle Riemann of this inverse math.
Good Christmas present thanks God.
for k => 2, it looks like itll be exact for all x => 1
ig the issue is because 0! = 1 and 1! = 1, so the counting function that leads to the inverse can only start at one of them 
maybe shift the gamma function down so that it can maybe start at that x ~ 0.8 value thats the local minima of x! or somthing

ever so slight improvement
Yeah, but then it can work for x => 0, which is a perfect inverse for the first cusp.
reorganized it a bit, a bit cleaner and moved that 1/2 bit
hey guys next semester i have to pick a class between modular forms or linear algebra which should i take
Gamma of a 0.5 is 0.8662273573.
sqrt(pi)/2
linear algebra
why
Because it will help you understand modular forms.
won't modular forms help me with linear algebra?
i have friends who are taking modular forms and others linear algebra
Because it takes linear algebra to really understand them.
forms are functions that go in R whereas linear algebra has to do with matrices and stuff
they are objects which have certain groups as their symmetries, ones being special linear groups which are a part of linear algebra, you should be taking linear way before modular forms
After testing it out.
I'm assuming the 0.0000000005 to be a floating point error.
probably?
After looking at other numbers it is.
I need to do it with a friend I promissed him!
Floatint point arithmatic my beloved ❤️
Never beifn able to use == 😌
Otherwise, I think the tools are there, you got this!
DisOneGuy
This some what lines up with the pseudo inverse over the complex plain I did.
So, I know this should work over the complex numbers. (Anyway inches, not miles.)
Wild day!
my desmos refused to load it 
Yeah, this actually should be acurrate finally.
It took forever to load, but it's cool to see similar results to the complex approximation one I did.
Which lets me know something about the funtion, and that it might be on the right track.
It's really just using everything I've learned and have at this point.
Idk if this is meaningful but probably not. This also should have acne due to tanh(x) and ln(x) (maybe). So, not all of those will be zeros.
-13.8548 for the first one, which is close, so with more terms and derivatives it'll converge I bet.
Cool, well I'm done.
There's some scauce missing from that because zeta fips every derivative. So, I'd have to correct that for each z I'm integrating. But other idk.
DisOneGuy
Where sign can be approximated by tanh(N * (...)) or arctan (2/pi * (...)). There's still sauce missing, and I need to eat some food, so I'm going to let these other zero aproximations finish with 20 terms rather than 10, and we'll see how well that goes.
take $H(x) \coloneq \frac{\sign(x)+1}{2} \ $ $\sum_{n=0}^{N}{H(x-f(n))} \approx f^{-1}(x)$
Yeatte
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but this can be improved with smaller but mroe frequent steps
$\sum_{n=0}^{Nk}{\frac{H(x-f(\frac{n}{k})}{k} \approx f^{-1}(x)$
Yeatte
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Ooooo approximations?
and as such, we can take k -> infinity to make an integral with lower bound of 0 and upper bound of N
$\int_{0}^{N}{H(x-f(u))du} = f^{-1}(x):f(0)<x<N$ for certain f(x)
Yeatte
Oh nice
f(x) being funcionts that only increase, not decrease
If they decrease isn't it that they need to be worked out some.
Ooooo
Yeatte
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which works for funcs like 1/1+u^2
Interesting
let us take the factorial as an example of what we can do to extend this integral
H is the approximation right?
H(x) = (sign(x)+1)/2
if we take the standard N to be infinity, and a lower bound of 0, then we get
$\int_{0}^{\infty}{H(x-\Gamma(1+u))du = \Gamma^{-1}(1+x):1<x<\infty$
Yeatte
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this can be improved, even if slight
if we instead make the lower bound equal to about 0.46163
where Gamma(1+0.46163) is the local minima
denote M as this constant where Gamma'(1+M) = 0
$\int_{M}^{\infty}{H(x-\Gamma(1+u))du} + M = \Gamma^{-1}(1+x) : \Gamma(1+M) < x < \infty$
Yeatte
Another fiew hours..
$\int_{a}^{N}{H(x-f(u))du} - a = f^{-1}(x): f(a) < x < N$
Yeatte
note: that one is for increasing functions
i tihnk just tacking on a -N would work for decresing funcs just like how ot worked the other time
Also H can be other functions that approximate in this case btw.
Cool!
I think i did something similar using another dummy function, i used sin(x)/x to get g(x) = f(x) when a < x < b, and 0 otherwise
tanh(N*(blah)) in that original one I wrote works well.
Thanks for the help here!
Yeah, I'm getting an over flow when I put in zeta, SystemException["MemoryAllocationFailure"]
The finite version is interesting, and even though expensive I might have to use it.
$\int_{a}^{N}{-H(x-f(u))du}+N=f^{-1}(x):f(N)<x<f(a)$ for decreasing f(x)
Yeatte
Is zeta decreasing?
Yeah, that's fine my friend said have fun.
He made is own version of the function that converged super fast with 2^{n}
Sadly he doesn't have it anymore, and I don't think I do either.
Again that big function I wrote should be it, because of -z.
i dont even have to shift the zeta
It should work with tanh(x) again that approximation is something that works and I found years prior.
I'm going to do more derivatives and see if I can get that -13 closer or better approximated.
I might work it out by hand, but maybe not
mm, tanh(x) is a bit off, i tihnk cuz its a smoother sign(x) that some of the contributions that would otherwise be 0 end up messing with the full integral
It needs to be multiplied by a value and limit p towards infinity. My bad sorry.
And if it's more accurate I'll freak out.
also each (-z) on the integral might need a (-1)^{0} ... (-1)^{m}
That's the only extra scauce I could think of?
*afk, eating food rn 🥣 *
Cool though it's close af to zero for F[0.5]. neat!
So, if I'm graphing this what am I supposed to put in for Z^{-1} to test stuff?
I'm not really sure how ye got the integral thingy, so 
What did you write for zeta?
What do we do now?
Okay
$\frac{\zeta(2)}{\Gamma(y)^2} = \int_{0}^{\infty}{\frac{w}{e^{w\Gamma(y)}-1}dw}$
Yeatte
That is cool!
$\int_0^1{\big( \frac{1}{\ln(x)^{a+1}}-\frac{x}{(x-1)^{a+1}}\sum_{n=0}^{a}{\langle {}^a_n \rangle x^{a-n}} \big) dx} = \frac{\gamma}{a!}+\sum_{n=0}^{a}{\zeta(-n)}$
Yeatte
at some point the approximation to gamma diverges and gets worse, but i think the best term was like accurate to like 3 decimal places

,w calc 1459/2520
Like x<=1?
like a being an integer
Are you talking about this function?
That's fine, do you think it's floating point error or?
ye
i tohught it was an error, but the true series on the right diverges
the reason it approximates gamma is because the bernoulli numbers get smaller for a few terms, but then they increase and continue increasing with a growth rate like factoria or something
the simplest case of the integral is this
$\int_{0}^{1}{\frac{1}{\ln(y)}-\frac{1}{y-1}dy} = \gamma$
Yeatte
Probably not.
$\lim_{x\to\infty}{\frac{\prod_{n=1}^{x}{n}}{x^{x+\frac{1}{2}}e^{-x}}} = \sqrt{2\pi}$
Yeatte
Crazy.
$\lim_{x\to\infty}{\frac{\prod_{n=1}^{x}{n^n}}{x^{\frac{x^2}{2}+\frac{x}{2}+\frac{1}{12}}e^{-\frac{x^2}{4}}}} = A$
A is the glashier kinkelin constant
Yeatte
there's more constants, but desmos rounding error so i could only get about 8 of them
Is there any YouTube channel that explains math like Eddie Woo? I feel Eddie Woo teaches students who are encountering a thing for the first time and teaches in a way that is very comprehensible and intuitive.
This place has less madness >~<


i think that sentence was provocative, I don't wanna say something like that if u were wondering
There is a war in main lol
I haven't seen a lot of educational side of math youtube, but what I have seen is eigenchris. he has 3 series on math, but they very specific videos, and can sometime lack a bit of detail inregards to notation, but i feel that they explain things well
Tysmm
That being said, the videos are not wide ranging, so most likely he wont have what you want in terms of topics
Could I get someone to solve a linear programming the math problem in code if I bribe them with my world record Snayk 3+ game?
This is definitely years beyond what I know now. X E.
I would say math youtube is more so the place where you can get introduced to topics and explained in a hand-wavy way while the details are found in books
high quality animations, but perhaps lacking in rigor/detail sometimes
I see, thank you. Actually I've realized this in the past but I just forgot that this was true, thank you for reminding me!
That's exactly right.
Well sorry I did this. X E.
I wish I could help, but I don't know any programming.
I can take process explanation. X E.
What's that?
Like how a process would work logically, like how to multiply. X E.
Should I explain the problem?
Sure 
Given what I know now, all variables are bounded on both sides with >= with constants and of form a+b+c+d+e+f=constant with all being single numbers and known multipliers per each variable and from the original, x, y, and z with x and y being with z multiplying constants in inequalities, x, y, and z are partly or fully in the equation and missing one means plane, two, line or point, three, point, now how to solve this simplest form? I want the x, y, and z of planar extrema, all of them, and all things here are just numbers. There can be no solution. Still no idea how to solve. Carry on. X E.
What does bounded and planar extrema mean?
Maybe you can open a help channel?
!help
To ask for mathematics help on this server, please open your own help channel or help thread. See #❓how-to-get-help for instructions.
If you know how to solve can you DM so I can save it? bounded like constant>=variable>=constant is bounds. X E.
Unfortunately I don't know.
just like, slap some linear algebra on that problem and ur good to go
In about a year when I know that. X E.
And this is single numbers so no longer linear algebra. X E.
Hi X E
Yeah, asking to have someone else do it for me is banned there. X E.
Ah
Well you don't wanna be taught how to do it?
I want to be taught sure, but I think this is banned in #help. X E.
No, you can totally be taught how to do it in #help.
Well, something for tomorrow. X E.
Okay! 🩷
Well, checking minimums and maximums, should work. X E.
lol i remember watching the derivative video
ooo, was it good?
i first watched it when i barely had started learning trig and was sorta fascinated and confused, then i watched it later and it was very good imo
Niceee
idk if ive ever seen another person on yt with that sorta "energy". bprp is quite good but he more solves problems than explaining curriculum from scratch for the most part. maybe prof leonard in terms of explanation quality
Yeah! I think this is why he does this. https://www.youtube.com/watch?v=R82thNCgBbE
More resources available at www.misterwootube.com
Guys I checked out a random video of Eddie Woo as I was recommended to yesterday here. This guy is very cool.
hello guys how do I deal with procrastination i got finals coming up, and i only want to study the day before finals
Hello I'm new to the server, I'm not the best at maths but I really want to get better. How do I do it?
Well honestly, sometimes I dont study like at all and still get a good score so... idk
but i got like 7 classes
New here too so no idea
go afterschool
Is there any method of specific self study I can use
Dangg, if u think they're rly hard, then u should prolly study then
what math are u?
i wait till the last day
Why?
pressures
I'm not sure if that's a good idea
Yeah I get
I can understand that
80.00 bouta drop to c
U should just eliminate all distractions
That's difficult
Focus on ur school work
Something or the other always pulls me away
9th grade
im a sophmore
im junior
most important year
meowww
gotta try hard
how is sophmore most important
Ooo same but Im not 14 lol
I mean sophomore and junior are
oh i see
what yall gpa?
Gpa??
0.2 i wonder if harvar will accept me
grades
Fs
prolly if u teached a ant to do calculus
Ohh um I've been an A student since 7th tbh
do u guys have percentages
or just letters
both
Both
Both
tbh middle school you don't even need to try at all
yeah true
Yeahh
I need to get better at factorization 
2
im guess it 2 because you cant learn it in the begining
I love factorization 😭 🥹
Honestly I think 2 is easier than 1 tho
Im done w 1 and 2... ig
Lol
u sure bruh?
Whatchu mean " ig "
I guess
" ig I breath air "
ITS A YES OR NO 😭 😭 😭
Yeah cuz Im in competition level
Idk lol
...
like amc?
Whats honor??
what competition
Yeaa I just finish Amc10A
nice
Like last month
how did u do
Lol I got a certificate, tbh I did horribly
But I got my first gold medal in the Singapore Math Contest too
So Yipeee lol
nice
so smart
gotta show some outstanding achievement
yeah but that would mean at least usajmo qualifier
Lol thx
you guys live in singapore?
Yea Imma try my luck at Harvard
O-O
Noo Canada
idk about hardvard
Mhmm but it wz just 1st round so idk yet
you gotta go to africa and teach student there to play instruments
need some crazy acheivement
I have a gold medall 😭
Not achievement enough??? 😭😭😭
Loll
Im from Africa, just moved here like 6 or 7 months ago
No pun intended
Hmm how??
actually from africa?
Yeaa lol
West Africa
I learned some world history
Disappointing
6 or 7 😔
Yea and it cold af
?
lol not really interested in these things
Neither am I, I'm so tired of these pointless memes
yeah
btw no criticizing or judgement
so yeah dw
so yeah i have finals the day after tmr
So start studyingggg 😭😭😭
im stressing so much
jk
ill do it tmr
i did a bit studying today
do you guys have finals coming up?
Ye but next yr lol
ur done?
Nah, I've 2 major "school" exams coming up
how many classes are you taking?
omg pending postgrad
lol
Like 18 lol
Postgrad??
well you wish
What is that anywayy
This just means they indicated that they want the postgrad role; they have "pending postgrad" while it awaits human review
Oooo luv ur pfp btw
Still dont get it but thx anyway
It's a surprised owl
Yea I figured lol
postgrad is like grad school
Like after 12th grade??
no
😭😭
after ur college years if u wanna go for higher
Well, the postgrad role in this server is basically "people who graduated university-level mathematics"; some in further education, some working mathematicians, some elsewhere
Ohhhhhhhh so like PhD ??
after bachelor
Thats niceee
Sry Im rly slow lol
so yeah this server is full of smart people
hello
Ye and its honestly nice to meet sm ppl smarter than me tbh... not bragging 😭
Hii
@uneven steppe
sup
what happens if im not studious
u stop procrastinating
i cant
Why not
im an lazy bum
me too 

Who isnt tho 🤧
Night
I felt the same few minutes ago. A person sent a question that should be easy for me but I didn't even get a hint in mind. When I check the solution it was little steps here and there but overall easy. I think the problem is with number of questions that I need to be practiced with.
More and more questions so that I understand the pattern.
Hii
Yo
Wyd
winnie the pooh
??
Wdym
isnt thtt ur pfp TT
why does everyone look down on me im faster im stronger im smarter. im better I AM better
Oh that yh Winnie the pooh
How u know tht
how wouldn't ik tht TT
Oh
Btw wyd
absorbing vitamin D
Oh getting sunlight?
yep
Nice
Hallo y'all
Hey, thanks for lending me your lambo yesterday
Hii
Hyd?
Nm mahn I have bmw m4 for u
Good u?
Where are you from
Ur heart.. 🙃
am i the only one tht reads this as guh-tak
Well then sucks for us both ig
😭😭
What happened
Lmao or luhmaoh
Who's that
k ima go study(hopefully)
Lol
lawl
Nah its nothing
im so lame :']
What
My heart is not broken
Good 4 uu
Wbu
Ehh my heart is doing fine
Oh great 😃👍
??
??
Add me dude
In your list
I only see this kind of msg

Hi there.
Hi
Hola. How are you?
hello koto
XO
Heyya

Meow
meow 🩷
Hi
Roar
all the girls in this server know is yuri and cat noises
And trans noises >~<
nvm i need to stop typing before i get cancelled
No I do math trust
I just don’t talks about it here
ironically

what kinda math
Proof?
What maths
whatever my mind wanders to
Mostly NT
I’ve just composed a silly NT paper 
@versed jungle will serve as my witness
does anybody have tips about studying, I have finals tmr for 7 classes
i can confirm that lexi does math
Oh how nice
Why do ghost chillies have to taste so good yet be straight up deadly
you tried it?
I grow them! Just chucked some green ones in a burrito and died
I don't think the grown ones you have can compare to the real ones
or is it the same
It's the same, if you want full heat then you wait for them to ripen to bright red but nah I ain't doin that. Don't do drugs, try a ghost chilli instead tho
personally i dont like chili that much
probably only the green one's that arent spicy
Sometimes life needs some spice
nah but if u eat some hot af chillies out there, you will hallucinate
Only when I'm doing trig 
well it pretty confusing
im also hallucinating cause there so much stuff to do
final's week is so bad
I thought it was easy! I was like triangles man, three sides, must be the easiest
hell no
Summer school is crazy, crammed topics, move to completely different stuff each week
gotta deal with those log stuff in triangles
That's next week for me
for me it each 2 days or 3
Hey one I have a question
let see
k lol
go ahead
Check it out
@simple reef
step 1: get off discord
step 2: start studying
goodluck on ur finals 
dw im gonna keep procrastinating lol
ty tho
anybody willing to help, didn't focus during class. log6=R, log 11=S, log 4=T fidn log 12/5
good luck!
the best method is review content --> practice exam --> review missed content --> practice exam
and continue till you exhaust practice exams!
yeah ty lol
Guys m cooked
why is that
Good morning :p
Why?
Mrp

🥹
Ok :>
(I got no dm and no notif and no ping tho 🤔)
Bro I sent u like 4h ago
Discord has recently (as in in the last 1-2 years) has become absolutely terrible at this
It will randomly drop notifications and message pings
it's magic how good it was years ago
Well they're enshittifying very rapidly so-, I doubt they even care about code quality much anymore and it's all about pleasing the investors by shoving nitro down everyone's throats
Yeah, that's an issue with incentives and stuff
this is random but is anyone down to sign my volunteer hours I need them badly rn 😂
he is kinda hot
Pretty!!
Yep!
Ooooooooo
Really symmetrical!
interesting
Good luck and have fun!
You'll get it!
First time I’ve ever seen Akira say something like this
i was being honest
I was just saying, I’ve never seen you say anything like that before lol
my fault
ah fair
I wish I saw this before my Math paper. This wud hv been a good topic to write on
What’s the topic or concept this is based off?
Which program
is this the polynomial (z^2-a^2)^2 for some purely imaginary a ? 

are you sure about that?
im not sure what you mean by inverse here
floating point error 
desmos: this function might approach 9000... or it might suddenly be 3, who knows 
smh im gonna be using the digamma function again
also, fun lil thing $\int_{0}^{1}{(\ln(\Gamma(1+a))+a)da} = \ln{\sqrt{\frac{2\pi}{e}}}$
Yeatte
welcome back ally 
how did your exams all go?
:3
Meow
:3
There was one calc 3 midterm I got an 89.5 on…
But
That makes up for a bad midterm 2 score.
As for finals though
I think chem went really good
Physics, better than expected
Math fucking SHIT
There was 2 questions where we had to know our half angle double identities or whatever. And because I don’t know many identities, I left it mostly blank…
But idk my scores yet
Wbu
well all in all, it sounds like you did quite well 
let’s hope math ends up better than expected too
as for me, my numerical methods exam went fairly well and logic went… not as well 
No, it’s gonna be bad 😭
I won’t know about complex analysis for another 1.5 days
I have to write that one in the morning on Friday
you don’t know that yet
I do because I took the exam.
GL
she don know 😄
We not talking about yuri this time 
Logic is scawwy
Hello ally
And I’m not trying to be pessimistic either
It's been a while
Like I think I’m fine for chem and physics, but math absolutely not
HI
How are you doing?
you say this and then you’re gonna get the exam back and it’s gonna be 20% higher!
than you expected
So tired

