#serious-discussion
1 messages · Page 189 of 1
rip for cs majors
wanting to go to theoretical cs
definitely a more steep
transition
unless u are cracked in math or happen to be really interested in math as a cs major then yeah
yeah I'm not sure what the transition would be for CS majors in that case
since most CS degrees are focused in getting you ready for software dev positions anyway
the former definitely isnt the case
hard to network with people doing research ig
lol the degree here does anything but this
it helps to get you into research
man where are you studying cs
lol
at least the honours/general one
i need to get into that cs program
there is an applied computing program which is what you described but the only downside to this is you will not get into a grad program in the future if you wanted
there is also a software dev specialization (which in disguise just taking overload over overload of courses until you burnout like a fried chicken)
i guess they are preparing you to be a wageslave
lowkey wish I was a wageslave instead of a neet with a masters degree (I'd have a wage)
a what
a what
niito
actually I'm just taking a gap year while learning stuff and slowly working on some projects tho
oic
thats cool
at least ur doing stuff
especially being self paced n stuff
yeah this is v cool
im trying to make a project euler-like website as my new project
nice, like successive challenges
yeah
still have not decided what kind of UI design I should go with
I already figured out all the backend stuff
just dont have one
let it operate in the terminal
client interacts with the website purely through GET requests in the browser console
:sotrue
so real
i prev made a job hunting application as my project
it went really well
and it was massively motivated by my job hunting PTSD
I guess with great PTSD you can create nice stuff

or shut down
so real
oh I kinda have one project in mind that's like this
basically some kind of canvas app to make specific TikZ diagrams in browser
particularly euclidean geo
I would say my project is done (if you ignore the awful UI)
(I've spent literal hours doing these for another job and I'm stubbornly refusing to just use inkscape instead)
backend devs doing ui.jpg
so real
me convincing myself that frontend dev is the way to go
slowly gets interested in backend
im ngl that doesnt seem appealing
at first thought backend seems more interesting
although to be fair
i dont know much
about frontend
idk I thought frontend was cool and backend is just boring stuff (it was the opposite)
the other day I read a post in Threads that was like, this front/end distinction is so stupid and people 10 or 15 years ago were expected to just know how to create a web app
bruh LOL
obviously it's a natural consequence of scale and specialization, and some things in UI are best left to actual designers
but still the distinction feels kind of dumb and imo people shouldn't especialize early in this sort of stuff
yeah no matter how good u are in ui design, the average ui designer will just be more productive overall and have better results
well specialization increases standards too
so back then frontends were probably not as great by today's standards
nowadays everyone wants to be a fullstack dev bro
well most people just need fullstack devs
if I had to guess only big corps can afford specialized back/front peoples
web dev has the most jobs iirc
not as much deadweight either, no reason for a webpage to be 25MB 
omg
true though some of these component libraries do be bloated
"im fullstack dev"
npm i
100000000 node modules get installed to write a basic app that says hello world
"this is very web scalable"
average react application
u mean electron
ah yeah
yeah electron is 
i dont work with this stuff when i dont have to mb 😭
afaik discord is built from electron
i think so yea
rewrite in rust fr
LOL
"noooo you gotta build to scale
"
meanwhile some startup: heh. nothin personnerl kid *uses google fucking sheets as a database* https://www.levels.fyi/blog/scaling-to-millions-with-google-sheets.html
,calc ((5000000-1215438)/5800)*42
Result:
27405.448965517
below 8 hours
Why do some mathematicians include 0 in the set of natural numbers guys?
because its more convenient
Because 0 is natural
because they like to say true things 
"testing, 0, 1, 2" - donald knuth at a microphone, supposedly
To include or to not include. That's the question
Yes
i thought the naturals dont include 0?
i got chewed out once by a professor for including it once
oh is this like starting the fib sequence from 0 cause its easier sort of deal
that sort of stuff yeah
more generally I could think of it being useful to describe sequences that start at a "0-th step" or an initial "time" of 0
idk if this is the actual historical reason there's probably some math stackexchange about it
ive always considered it natural and even also xd
Wdym, zero exists??????
(oops didn't mean to ping with a shitpost :/)
0 is uncontroversially even
I don't recall anyone arguing about parity of 0
no just me being dumb
historically numbers represent lengths, which makes zero a bit weird
but today this isn't an issue anymore
just do what suits you
like becoming a finitist??
?
I mean if that suits you
I mean, rejecting existence of 0 sounds as dumb as rejecting \infty to me
(I'm not necessarily talking about surreal numbers to be clear)
what a weird comparison considering that 0 is a number and infinity is not
How about ω?
For notational convenience, I feel like N should always have 0 as Z_+ is an immediately clear notation for positive numbers. (atleast in analysis)
today's lesson: talking about infinity, we must have infinities
I stand by $\mathbb{Z}_{>-1}$ and $\omega+1$
Arki
I was going through Spivak's exercises and one of the q was this:
Ax: (x \in [0, 1]) => (f'(x) >= M > 0). Prove that 4|f| >= M in an interval the length of which is 1/4
Wonder if this applies to all n
What are the safest methods to prevent having a bowel movement during university hours? I would appreciate some tricks, even if they are extreme measures, as I want to be able to go throughout the whole uni day without worries anymore. (This is not satire)
Hey guys, I have a serious question. My mind is set on a bsc with mathematics (3 year study) but it seems like the chatgpt math tool can answer any and all questions about math, including some math Olympiad questions which I can't solve. So what's the point of studying math if an AI tool (which is constantly improving) can do everything better than me?
what makes you think chatgpt can do that lol
i would not be surprised if chatgpt can sometimes give a reasonable answer to an olympiad question that already has a solution on the internet available
it's unlikely to come up with anything insightful for nontrivial questions where that isn't the case though

It just seemed quite "intelligent" to me when I asked it olympiad questions
I would be really glad if it is incapable of solving more advanced, nontrivial questions
LLMs are really good at faking intelligence, since they're mostly engineered to churn out text that seems convincing to humans
however a lot of times they have a hard time following logical instructions and a lot of current research is going into that
So are you saying that it generally wouldn't be able to solve an original, difficult problem of university levep for example
as a former uni prof I've done that sort of experiment + asking it to generate question sheets etc
output was was always mostly nonsense
And do you think it might gain that ability in the next ±20 years?
20 years is plenty, hard to predict how tech will go in that long
last time i tested chatgpt's math knowledge (which was within the last few weeks) i asked it some group theory questions that were pretty simple but specific in ways that i knew would not make them not questions that have been asked and answered online before, and it confidently gave nonsense answers
That's really interesting
but surely some of the very large models might get there with advanced math questions. Even then I think we'll still need math, engineering etc. majors to determine who's asking the right or relevant questions
helps to be aware of these technologies, learn their potential but also their limitations, and then incorporate them in your workflow accordingly
Wow, I'm really glad to hear that 😄
currently I only use Claude for copywriting and to help me write e-mails or blogposts lol
So do you think I can safely go into this direction with relative job security...
Oh😂
might seem like generic advice but: learn math and learn to code 
having multiple skills is always good
Great, I love coding (and playing music)
I'm also considering taking psychology along with maths, I think that could be an interesting choice
and maybe to that add don't fear fiddling with AI but be aware that its outputs aren't always logically sound or correct, and that current models are best suited for writing
oh psychology is cool too, I haven't read any of it since freshman year though
and that was 2016 😵💫
if we're talking merely in job market terms I'm sure the amount of competent math/stats people who also can reasonably implement psychometric models for instance, is near zero
Yeah that seems to be a complicated, yet interesting subject
just an idea lol
there's so many paradigms currently I don't really have track of them
this is your first msg how can we be sure this isn't an ad
😂ok
I heard that the person who set up my aptitude test was a great psychologist and mathematician, and apparently most of the great psychologists were also big mathematicians
this isn't an ad, it's a wonderful channel I found. I just thought I would share it to you guys
oh interesting I didn't know that sort of intersection
it'll make you better at calculus
yeah right you spammed this in like 3 channels by now. timed out
Good moderator👏
But thanks for the advice, this really takes a lot if worry off my soldiers, and I look forward to where I'll end up one day
best of luck with your career then
I think learning more than one thing is generally good advice to keep in mind
Is pound (lb) a unit of mass or force? Or it is used for both? 
This link says lbf is the symbol for pound-force but I swear I have seen lb is used for force due to gravity 
well, then that's unusual
sometimes people use lbf to distinguish pound force, but sometimes lb denotes force. it's bit ambiguous (but the distinction rarely matters!)
since the weight of a pound mass is a pound force
Is this true even when we stand on a different gravitational field like the Sun 
the weight on earth* of a pound mass is a pound force
but uscs units aren't used in space programs anyway
#1213610885277421588 message Can you solve this with it?
yeah what's important about knowing what a pound is
I'm working with measures a lot lately and man we really do seem to have it figured out
measures being different than units but sort of related
What do you think of this, this method for integrals?
geometriadominicana.blogspot.com/2024/03/integration-using-some-euler-like.html?m=1
Find the blog
at sea level*
even at the top of mount everest there's only a 0.3% discrepancy so it's not a huge distinction
I remember reading somewhere that the difference on the poles is rather noticeable
there is roughly an 0.5% discrepancy between equators and poles, standard gravity is between them so a maximum discrepancy of 0.25% either direction
Interesting
what are the pro of learning LaTex
Check pinned messages in #latex-help
it is literally the standard way in which mathematicians communicate in writing
it's not strictly necessary but people will think you are weird or at least not a mathematician if you don't use it
a lot of people in physics use microsoft word instead of latex and this is really painful to read and write mathematics with
So humans in physics are weird
does anyone know easier/faster way to find LCM
easier/faster than what
the easy way is to look at multiples of the larger number
e.g. lcm 8,12
12,24,36,48
24 is the first one that can be divided by 8
so lcm 8,12 is 24
if you have the prime factorisation this really helps
shm lcm is just the productof max of the powers of the prime numbers
hii
i have hcf and lcm for hw for some reason
i have stuck to the division method my entire life
calculate the gcd with the euclidean algorithm fast, then use the fact that gcd(a,b)lcm(a,b)=ab to get lcm(a,b)=ab/gcd(a,b)
Euclidean algorithm ages like fine wine
a mentor of mine wrote a cool paper on the complexity of computing GCDs of polynomials
gotta dig into that paper and his talk

lol
Muted them already
chat online?
No, no one is online in this cursed timezone
link?
<@&268886789983436800>
Outsider here to save the day :3
If only it was always this easy
True.
We design polynomial size, constant depth (namely, $\mathsf{AC}^0$) arithmetic formulae for the greatest common divisor (GCD) of two polynomials, as well as the related problems of the discriminant, resultant, Bézout coefficients, squarefree decomposition, and the inversion of structured matrices like Sylvester and Bézout matrices. Our GCD algor...
god why would you typeset it like that
what is this...
how would u do it
Not like that
I don’t see a problem 
thats because your notes look even worse
you can certainly make it more consistent though
sure
here give me a second I'll make it better
Idk wtf you're on, this is beautiful
you can make it more symmetric
Though tbh it really isn't that bad...
it is pretty bad
I support the many \vdots to make it more square though
Though I don't see why g1 is written but f1 is not
nah it's a mess use your eyes
I am but I fear I may be blind
not going to go through the effort of typing this (which is probably the excuse these people used to not fix it) but you could do something like this
you can always add a few more entries if you want to disambiguate the indexing more
but you can certainly make things way more symmetric and consistent
I think what bothers me so much is that they don't seem to have any actual reason for putting certain vdots and ddots in various places
or putting various other entries
I am reminded of the typesetting in another paper
Yeah this is better lol
Though it shouldn't be too hard to typeset
yeah it's not hard I'm just lazy
Very valid!
Wtf is the logic here
hmm this is complicated enough that it's slightly easier to draw out first instead of trying to keep all the spacing in my head
draws it out
oh well I guess I can just screenshot it
why not just write diag(t_1, ..., t_2g)
yeah 
There are so many issues with this
it's kind of an incredible piece of typesetting
like you stare at it and try to identify a single rule that would lead to typesetting like this, and you just can't
Isn't it just misaligned or uneven hbox
no it's way worse than this
the two things that look weird to me are the giant ( next to the { and the lack of space between | and t_i
i'm not sure if it would look better if the {} were blown up though lmao
oh also the 0s....
tf
But also what's the reason to not just write t1...t2g
I do NOT KNOW
This is the worst thing I have ever seen
ACCEPTED
Btw did you look back for this just now, or do you have a saved screenshot of this
you can see how overfull the hbox is
in the published version this shit gets broken into two lines
I take a new screenshot every time I post this, I always have this paper handy
After seeing the other thing, this is beautiful
i was wondering what those lines were for a sec
Is the paper good at least?
LOL

Love the huge braces
ahh yes good old \BIGGGGGG
well we saw what it looks like without big braces earlier
the one with the really bad matrix?
no it's awful
well like
I learned a ton from it and my thesis was kind of meant to prove a more general result than the one in this paper
the paper doesn't actually prove the result though
it does the two easiest cases in detail (which are good, and I learned a ton from these)
but then the hardest most fucked up case it's just like
"this is a tedious computation, here is the answer"
lol said author kinda gave me a hard time for not doing certain details in my thesis as well as I could have
but it's like
he doesn't prove it either
so he has a non-proof of a result, and I have a non-proof of a more general result
lmao my advisor was giving me such a hard time for not completely proving this thing and at some point he was like
well how does Harder prove it in the level 1 case?
and I'm like oh he doesnt
and my advisor is like oh lmao
ugh I know how the details go but it's so fucking bad to write out
so like I can do this proof in complete generality for maximal parabolic subgroups
and this case is fucked up because it's not a maximal parabolic
I emailed Harder being like yooo pls tell me the details of this computation
Lmao I typed out way worse just for submitting homework
and so he sketches it out for SL_2 for simplicity instead of for Sp_4
and i'm like yeah yeah I know how to do it for SL_2 it's a maximal parabolic, how do you do it for Sp_4 though
and he's like "oh it's similar"
fuck sake
Ok this is bad haha
guys pls give me courses to linear algebra calculus and probability to go deeper in AI i need courses pls i want u to guide me because i foudn out that if i am not guided with a real organised program i cannot advance and the advancement part will take lot of time so pls help me i am sure you are experiemented
no crossposting plz
@vivid halo ok speaking of typesetting
currently reading a paper
footnote starts with 1 sentence on one page
rest of footnote (which includes a picture!) continues onto next page
https://eccc.weizmann.ac.il/report/2021/081/revision/1/download/
pages 16 and 17
literally infinite jest
I think this is done automatically
inline picture can be nice
okay yea this is an insane use of inline picture lmfao
Knuth is so cute
fuck the editors, just put a \clearpage right before the Claim
We should be more liberal with forcing page breaks
Or put the entire section in some unbreakable box
What the heck
what's the issue
is it with the line making it confusing
is it the aesthetics
fuck aesthetics
yes this is the "right" solution
some unbreakable environment and let latex handle it and probably cry about underfull vbox later
timed out for flooding
academic degrees don't
As in, the things you get from universities?
No, although if you’re going for something more academic, and it’s been a while, places may want to test you or similar to make sure you still have the relevant knowledge
yes that's right
:/
though tbh the more you grow up the less relevant education becomes, employers start looking at your experience mostly
Fr
Hence why I said “more academic” 🙃 (thinking of like if you’re going for a PhD for example)
as well as other, smaller certifications you can get to update your base of knowledge
oh in the case of academia "experience" is measured through publications, invited talks, conferences
It's the fact that the claim is at the very end of the page so they could have added a \clearpage easily and have it look fine and have the whole footnote in one page
Anyone wanna help me with hypothesis testing (a level) ?😁
How to say this verbally
θ = arc l/r
theta?
I don't understand what you mean
And you'll continue so for I have already gotten my answer
Ciao
Idk if this is the server to ask this in but, if there is nothing faster than light, but a black Hole's gravitational pull is capable of not letting even light escape, does that mean a black Hole's gravitational pull is faster than light?
nothing can move through spacetime faster than light
"space" "moves" "faster than light" in a blackhole
I think the better way to think about is that the black hole is curved spacetime
and just like the curvature of the Earth
at a certain point it gets so intense that you can't see past it
there's something in the way
that's pretty much it
not only can you not see what's on the other side of a black hole, but you can't ever see anything ever actually pass the event horizon
it looks like it slows down and fades out infinitely (assuming it didn't get ripped apart by tidal forces at the accretion disc and wasn't swept up into a relativistic orbit at significant fractions of the speed of light)
the event horizon is literally a horizon
where spacetime has curved so extremely that our timeline no longer includes that set of events
it's less "what is moving" or "how fast are things moving" and more "what are the possible paths"
is it plausible that i could learn dutch just by reading the language + hearing TTS speak the words as i read?
you'd need some way to understand the meaning of the words
i think i have about as much comprehension of dutch wikipedia (a language i don't speak) as i do of arabic wikipedia (a language i say i sort of speak)
also any decent language learning program will have you write and speak as well. Forming your own thoughts and expressing them in the target language is very important to learn it
maybe find a study group or some kind of server/community where you can connect with native dutch speakers?
oh i don't have a goal to learn dutch
i was just curious about whether i could do this because it seems like i understand it as well as a language i tell people i speak
I see
might be something like this https://en.wikipedia.org/wiki/Passive_speaker_(language)
A passive speaker (also referred to as a receptive bilingual or passive bilingual) is a category of speaker who has had enough exposure to a language in childhood to have a native-like comprehension of it, but has little or no active command of it. Passive fluency is often brought about by being raised in one language (which becomes the person's...
yeah that seems like a likely scenario
it's also more likely to happen when you already know a very similar language
if i train only with input and no output+feedback
e.g. in Latin America, Spanish and Portuguese speakers can kind of understand each other but when communicating we end up forming a weird amalgamation of both languages
that some call portuñol or portunhol
lovely
happens to some pairs of European languages
and there's also the other kind of phenomenon where it can happen asymmetrically, i.e. one understands the other language but not the other way around
language is fun
and this property is not transitive either right
I don't think so
there isn't a "hierarchy" of intelligibility
depends very much on the particular pair of languages
though e.g. romance languages as a family don't stray too much from each other, that's kind of the point of classifying them as such, as coming from the same historical languages
i had the random unrelated thought of using AI trained on English at various points in history to try to predict what future English looks like (for fun).
i'm guessing you could do this without AI but maybe it could pick up on trends you didn't notice?
i feel like fine-tuning an already existing language model to do this, and telling it the text it should predict was written in 2100, it would try to predict like new technologies in the text, or think it's writing a sci-fi
perhaps, it's complicated to predict how social stuff will unfold though
you'd have to use a language model that doesn't have a concept of "scifi often says its many years in the future"
so either a dumb language model or somehow lobotimize a smarter one
ohhhhhh sick theres a weird for what i am to urdu
dude calculus kinda easy tbh
Oh damn this describes exactly how we feel to the language too 
its funny cz i can speak it like pretty well in my head but when it comes to actually speaking i start second guessing myself
Oof lmao, we can understand it fine but our command of properly using grammar is straight ass
So when we speak it sounds very informal
Nah bro that’s impossible
Even Einstein found it like super hard man
no he didnt
Diff geo moment
I'd prove this rn if my body weren't in too much pain to draw on a whiteboard
the bottom formula can be obtained with the general reduction formula for the indefinite integral of sin^nx
then plug in n = 0
Why do they list (n+1)I_nI_n+1 separately? Does it have any significance?
the reduction formula as i mentioned
ok, also how to calculate \sqrt{n}I_2n+1 as n\to \infty?
try yourself first
I guess I have problem in calculating I_2n+1
One thing that I need to tell you is that: If you are in class and you understand nothing, it is best to ask your instructor about this.
i asked but still
We can help you on specific topics
but not like we are your instructor who knows all the content you have learned, the style, and the problem you face. I'm not saying that no one here will help you, but we need more context. It is best for now to talk to your teacher first then come here with specific help.
Because, first of all, we don't know what will be on your upcoming test
what I meant is that, without clarification, your teacher is your best bet here. We don't know what will be on your test nor how to help you effectively. Right now, we can only give you generic advice like watching youtube, use Khan academy.
tfw physicist edward teller (of hydrogen bomb fame) recounts general unsolvability of higher-order polynomials:
to be fair he's just off by one and a first name
einstein had a massive skill issue tbh
thats what im sayin
bro needs to lock in
real

hm?
higher is like an omnipotent being that comes and drop a gif and leaves
A being from a higher! plane of existence
*omniscient being due to being active all the time
higher! 
is it a misconception that applied math is less rigorous than pure math
yes
I think so yeah
I mean it's sort of the wrong question: pure and applied mathematicians tend to be interested in VERY different things
and accordingly the standards of rigor for writing about these things have developed differently for different reasons
same thing in physics compared to math
they have different goals
a lot of physics looks sloppy and loose compared to pure mathematics if you are pretending physicists are trying to solve pure mathematics questions exclusively
is a math and physics double major worth it if you want to go into applied math but your school doesn't have an applied math degree
Not offering the degree and not offering any applied math courses are 2 totally different things.
I think just do the math degree, and focus on the applied math courses/specialization. And take physics/engineering/CS/etc. electives.
physics minor?
they have applied math courses
has anyone studied langrangian mechanics how hard is it

What was found first the natural logarithm or euler's constant
edward teller of hydrogen bomb fame? wasnt he the one who was like super keen on makng more and bigger bombs
the anti-nobel
id bet the logarithm was known first
yeah it’s just weird to me how he can be going on about how much of important this (algebra) is to him, and still get it wrong
:-\ maybe pierre galois really did talk about all that, and évariste just ruined it afterwards?
Yea it was for a few years
after pierre galois proved it and before évariste galois disproved it
Okay i give up no im just makign a joke based on that he got galoises name wrong
damn i didn’t realize
Hi I need help
im cashing out the fire insurance on my house (accident) and going to vegas to make it big with GTO poker any mathematicians you can come if your smart
offer only available to the august grey haired mature crowd of discussion2 dont tell d1
insurance fraud lookin
what is insurance fraud. tomorrows fire is an act of god
that's pretty illegal
evil math be like: lets NOT integrate the area under a curve
integrate the area above a curve
I mean that's just a question about an infinite sets structure ig. Idk what sorta question but a question nonetheless.
Evil infinite 😈
Of course it is solvable, just use Newton's method
This but unironically, eventually you'd end up rounding your radicals to a rational number anyway
I mean, there might be better approaches than Newton's, I'm not up do date on numerical methods, but the point stands.
Netwon's method does have the advantage of being theoretically doable without a computer if you're in a pinch
Not everyone might know that, but Newton didn't even have a computer.
Let's integrate nonmeasurable functions, more like
numerical methods are pretty cool
and there are certainly better approaches than newton’s
I wasn't being ironic
Would you rather be up to date with every news today or be able to prioritize your task well
Or.. do you have any other tips in balancing it?

any websites for math questions of all levels ?
Mmm yea
holy <@&268886789983436800>

Damn, what did I miss?
guy spammed @everyone

It depends what you are looking for. https://madasmaths.com is a good website for basic stuff. For more advanced pure maths, you are best searching up "topic : course page" and you should get some results. Alternatively, whilst this is not a website, you can search up books with "problems and solutions" or "exercises and solutions" regarding your topic of interest. Many people on the Mathstackexchange will often have already asked this question for these books, so you can just use their suggestions. Hope this helps!
I love you so much
yoo is that klien in ur pfp?
Who is klien?
a webnovel character
Ooh
Can't unsee this now, IoI
this is indeed accurate |o|
SO
Damn you
oh no
Wait until they watch star wars
Multiplication symbols chasing down absolute zeroes
I am not allowed to embed rip
@fallow grail no, that is incorrect.
(3 * sqrt(5))^2 = (3^2 * 5) = 45
yw
#discussion message missed golden opportunity
I urge u all to never use de groots book for stats and probability. Hands down an awful book too lazy to provide proper solutions. “We provide solutions to every other question except when it’s too much effort and we don’t explain the solutions”
sounds like all math books
“Question 7 is a difficult one lucky for me it’s an odd number let’s check the solution” SKIP - De Groot
How do u even learn from this when the examples in the text are nothing like the problems
And no explanation is provided
Must I run to chat gpt?
I can’t send u the picture of the question
But I swear it has nothing to do with the content of the chapter , expectations
“Suppose that a particle is released at the origin of the xy-plane and travels into the half-plane where x > 0. Suppose that the particle travels in a straight line and that the angle between the positive half of the x-axis and this line is α, which can be either positive or negative. Suppose, finally, that the angle α has the uniform distribution on the interval [−π/2, π/2]. Let Y be the ordinate of the point at which the particle hits the vertical line x = 1. Show that the distribution of Y is a Cauchy distribution.”
that seems fairly typical?
idk how the text's exposition is but the actual problem doesnt seem particularly bad
not defining "ordinate" is a bit mean though
its definitely an expected value question though, youre computing the distribution of the ordinate which collapses to an expected value in the mean
does anyone have a good slideshow background
default beamer one (i.e., white one) is good
I think that is how college-level books usually work. This book is more rigorous than a typical probability book but not that challenging like Casella.
AAAA YEAH
are there any irl math meetups in the bay area not for kids?
there are many bays
rgxdf
Well goddamn
why in economics class, rational actors are said to be making decisions at the lowest opportunity cost, which is defined as the cost of not having picked the BEST of the remaining options
if you've already defined what the best choice out of a set of choices is, then you can just say that a rational actor makes the best choice?
what am i not getting
i can't imagine a situation where it's simpler to think about a choice as minimizing opportunity cost rather than maximizing utility
I'm addicted to gaming
there's no way
I just
can't do my work
all the time
and I keep procrastinating
and then I just pull an allnighter
and it just looks stupid
that is stupid yea
Get someone to give you a really horrendous task, so that you suddenly feel like procrastinating by doing the other work instead :P
me rn
its 4:55 am
and i havent slept since 6 am yestarday
<@&268886789983436800> Advertizing
timed out
f,g are cts on an interval around a
f(a) = g(a) = 0
lim f’(x)/g’(x) -> L as x -> a
@bright hill I’m gonna start it now
This is the correct assumptions for photos rule right
Lhopitals*
...
Thx
but yea, nah
you don't even need f(x) to be defined at a
f and g may not be differentiable at a also
Ummm
In Abbott this is lhopitals
yes
common abbott L
I had x \in (a - d, a + d)
(Pick delta so that for the e>0)
This is true
|f’(x)/g’(x)| < e
Ok
So
this is wrong
ye
- L
Just imagine it’s there
I’m too lazy to write it
So anyway
I decided to do smthn freaky
you really don't have to
X = (a,x)
it's way simpler than what you have in mind prolly
Ok just trust me ok
like, think simply
what do you think the simplest proof to this would be?
Darq I know there is an easier way
I’m not worried about the exercise
I’m talking about the proof
oh oki
|f’(t)/g’(t) - L| < e
For all t in X, right
Since X is a subset of
The delta ball
So anyway
Now I use the mean value theorem
there is a c in X so that
[f(x) - f(a)]/[g(x) - g(a)] = f’(c)/g’(c)
Right?
But the f(a) and g(a) are zero
So there is a c so that
f’(c) / g’(c) = f(x)/g(x)
But since |f’(c)/g’(c) - L| < e
The same follows for f(x)/g(x)
right???
Pls
Hopefully it’s right
Darq darq plssss
Bbbbbbuh
Hi
that's actually close to what we do in the general case 
lemme read it again
Consider a new interval and apply the mean value theorem there
coz of the mvt
yayayayayay
ANALYSIS MENTIONED
Thanks
again, that's close to what you do in general
Ily ur the best teacher every
but in this case, you just
I just
u wut
nvm what I had in mind was actually wrong
and to fix it I just did your argument again lmfao
Am I wrong too then
no
Analysis
ah
Ru atleast proud I spell it out now
it's definitely possible
yes!
what is
@solar hawk this is inchresting coz under the same assumptions you can also prove that, if f'(a) and g'(a) both exist
and g'(a)=/= 0 then
this essentially
so if you take g(t) = t-x
you get that \lim f'(x) = f'(a)
that is, f' is continuous at a
which is inchresting since f' need not be continuous
so the mere existence of \lim f'(x) implies f' is continuous at a
never realized this before 
or maybe we're both wrong 
block matrices can't hurt you
the block matrix:
that last row/colum really be like "oh shit I forgot my wallet"
What the flip is this
I LITERALLY told you that
I literally said
Darq
If a function is differentiable everywhere except one point on an open interval
And the limit of the derivative exists
Then that’s the derivative d
And
Ya
darq got rolled by amukh
where?
Dude, I'm trying to learn basic math, but I already have a base, it's not very good, does anyone have any tips?
I did

hey @solar hawk
Hiiii
so
your last message : This entire time a contour integral was just a line integral in complex analysis?
I’m familiar line
A contour integral can be a collection of integrals or just a simple path integral
( IE, when you get to contour integration )
Mm wait
alright
A contour
Yes.
Is like those contour lines
yeah
a contour is a type of curve, so a contour integral is... a path integral.
Oh ok
Why r they given a special name then
And how can they be used to compute real integrals better
Because they are heavily used in contour integration, this is the method you might see in my profile picture and to compute real integrals.
,av @stray fox
Is the residue theorem on contour integrals
Yes, but normally ( as seen in the picture ) we convert Real integrals to complex integrals
contours are specifically complex
The residue theorem states that the contour integral ( $\oint_C f(z)dz = 2\pi{i}\sum_{n=0}^{\infty} \text{Res}(f,z_n)$ is equal to the sum of the residues
Makenna
Is z_n points on the curve
and what you probably spend the most time on
Call her a not asymptote the way she doesn wanna get close to me
fr
alright
So they are points on the parameterization right
I can give you the simple formula if you want, though it might not do too much to you, because there is some specifics
just read bruh
$\text{Res}(f(z),z_0)=\lim_{z \to z_0}(z-z_0)f(z)$
Makenna
THIS IS FOR THE FIRST DEGREE
higher order " poles " ( oh god I have to explain that )
$\text{Res}(f(z),z_0)=\frac{1}{(n-1)!}\lim_{z \to z_0}\frac{\mathrm{d^{n-1}} }{\mathrm{d} z^{n-1}}(z-z_0)^n f(z)$
Makenna
This is for higher order poles
@odd narwhal when are we rescheduling our fight for
during lecture you're really not supposed to like
understand 100% of the proof and theorem statements etc
I treat them more like
A primer?
a slightly more detailed skim of the book
exactly
you know when you skim a chapter just to survey its content?
getting flashbacks to the time I had to compute a contour integral in C^2 thanks
Rarely
during lecture I try to focus more on the intuition and the bigger picture
rather than the technical proofs
lmao
I usually just read it from the start
well, at least you should recognize its usefulness!
I actually know
pretty much no complex analysis at all lmao
I know some facts
but that's it
Well can u vc
sleep bro
blud is on Welsh time
I don't even know what time it is ngl
windows goes randomly +-1 h my actual time

LMAO
No 
Come to penn
@jaunty ibex @opal isle
I'm not getting this job 
why even make a distinction for minimum and preferred lmao
I've seen a couple for college stuff as well
idk I guess it's because some of these are affiliated or something
could be a nepotism thing
This is so funny
Maybe the order relation is with the majors
Man they really want someone from the University of Waterloo lmao
my prev internship interview went excellent until bro got someone from waterloo and immediately dropped me
rip
knowledge and expertise are much more important but a lot of places care more about a name on your resumé
Ok that sucks ngl
worst part is the bro from waterloo isn't even doing cs or something adjacent to it
not even math
oh wtf
It's crazy that they value a name more than actual understanding of the subject lol
Having to spend hours for each course is so 
I feel that 😔
Wish I could understand everything in class right away
I want to telepathically learn mathematics lmao
im having a stroke reading my prof's proof in one of the homework exercises
Oh? What is it about
it is a proof by contradiction but it's really wrong
like you only disproved one case
good luck disproving the other 7! - 1 cases now
Other cases are left as an exercise to the reader™️
5039 cases is insane
oh lol u have seen nothing lmfao
job hunting is cursed
Jobs in general are cursed rn
key part is never giving up and stay motivated
Jobs are like that yeah
That's life tbh
Deltoid have u read Maynard's papers
yes one of them
Actually do the employers even understand fraction of the material themselves 
(Well anyway)
Maynard's papers are cursed in general
no
I know the HR people and the hiring managers for sure don't
Let's hear them explain set theory lol
Bourgain math
What is it
psychology
LMFAO IM ROLLING RN WTF
They hired a psychology student for a programming position?
Key business descision right there
HR told me they are very good and they know a lot of shit so I got sus about it and looked what bro did
literally nothing
Damn
they can't fire him because they're on copium
Coping with the fact they hired someone with no experience
I remember having another interview (which again I got rejected in) and there were peeps from waterloo and they had like 10 positions that they got accepted in meanwhile people at my uni be mass applying to heree, europe or even to a janitor job and still get rejected
totally a different world
Janitorial Job Requirements:
Must be a student at the University of Waterloo
lmao
p2w irl fr
lmfao
btw deltoid
I don't blame u
cuz i got this job by being a waterloo student then dropping out
The fact you have to do more than just be educated/experienced in a field to get a job is honestly insane
,w university of waterloo
Ah, so it is basically one of the most prestigious uni in Canada.
Name value 
Harvard equivalent, I assume?
classic
My friend from waterloo dropped out as well after getting a job
I referred some other student there as well and convinced them to drop out

yeah
fun fact I applied there and got accepted but I rejected their offer

yeah u told me about this
chad move
@latent edge do u recommend reading Maynard's papers




