#serious-discussion
1 messages · Page 156 of 1
Well I've never received recognition, I thought maybe being blunt would help people get it.
Get what
Yay!
you can always talk to people on this server about math if you'd like
I find this place to be quite helpful
Yeah you can learn analytic number theory for example
try not to come off as boastful though
real
Unless you accidentally become amukh 2.0
I think I have a chance to escape rn
Based
I need to change my nickname

I can't tho
"skill issue"
ouch
aint no way vro i got 4.0 gpa in high school I'm so proud nglngl frfr skull emoji
wdym like me
you'll give me brain damage if you do this any longer
How did you do all that
The most productive thing will probably be to get over the “nobody understands me” mindset because you decided to study undergrad math
@neat lintel you could be trapezius
I thought math was a popular topic
Not really
excuse me wtf
not at all where I came from
Math or cs Ig idk
even now, there are probably twice as many physics students as math students here
Idk I'm naturally just very bored so I just tend to do it anyway
This. I don't have a single person IRL that likes math or has even taken math courses after HS. I socialize just fine.
If you mean studying what I did in HS
Iv found plenty
I wouldn't recommend it if all what you care about is prestige and shit and getting into Ivy league or allat crap
But I can still somewhat socialize with everyone I think
I wanna be like deltoid fr
Unrelateable
Even if you do find someone to talk about math to, its a pretty dogshit conversation topic unless both of you are working on something / similar field of study.
Ffs 
I mean how did you stick with all those things
And they didn’t even sound like the same thing
Y didn’t give up in the middle
Wait Hgr
I hope I don’t give up on you
depends on what you mean by giving up
in what context
Like dropping something
tbh I'm also a bit worried about losing motivation
I never complete stuff ;-;
that's why I think that if you read with me it'll be easier for both me and you
If you lost motivation watch those little dark age math edits on yt
yeah to keep each other accountable so to speak
I made one little dark age edit and it gained 9000 views and youtube banned it
For some robux and I bought 1 months worth of something with it
So I suojld@play to get my worth’s out
Roblox is literally for 4 year Olds and 54 year olds
Bro
oh
Lots of adults play Roblox
Well you gotta stick up with it when it gets tedious
It’s never boring it’s just
The problems take fucking forever 😭😭😭😭😭😭😭😭🤬🤬🤬🤬🤬
WHY
Progressively harder
To whom it may concern, I have come to the understanding that the term "bro" is a meaningless abbreviation of the term "brother" that is only used to call attention to someone's action or behavior (the implication that it was foolish or deemed unacceptable by his or her peers).
yeah that's how it is
is this a copy pasta?
I understand why you don’t have friends
oh
well
I recommend a crash course in sieve methods
yes
study method for something
Ok
here comes the propaganda
I'm all for it
get amukh into AnaNT
It gets worse.
Bro this stuff is number theory 💀💀I suck st numbers
you gotta realize the problems will get harder over time
wtf
To finish Rudin or Abbott
You've been counting since you were like 3 wdym
Legally binding contract
Shit I forgot
!!
Dw deltoid
Ima hit you up when I’m finished abbying
Yea but I need all of it before move onto next subject
like idk lebesgue theory is a must
Rudin's RCA 
And stop there
No
at least do lebesgue dominated convergence theorem
I’m DONE with Rudin
O _ O
I’m- I’m still in chapter 3
u need a motivator fr
My motivator was spivvy 😭 but I got too motivated
And I can’t wait until finish Rudin
And apparently spivvy is and
Bad
But it’s ok nobody will know
that's why amukh should join me in learning topology fr
Which text
I think my breaking point in math was Hartshorne and sieve methods
Hartshorne's AG is bleak
I mean I did have real struggles in analysis but Hartshorne is different

can animals "forget to take their stuff" like humans sometimes do
like literally any object
im guessing they can't cause the number of objects they use and situations to use them in are small enough that practice and biology makes it easy to remember
there are birds that store mouse and lizard corpses on tree branches and then forget to eat them
and squirrels that bury nuts and then also never dig them up again
what if humans bury great ideas and then also never dig them up again
that's poor planning
yea pencil and paper kinda helped with that one
Where can i read basic mathematics by lang for free
The Bull-Leaping Fresco is the most completely restored of several stucco panels originally sited on the upper-story portion of the east wall of the Minoan palace at Knossos in Crete.
Year: 1450 BC
Yes, that's right, Frescos have been around for that long
The Minoan civilization developed from the local Neolithic culture around 3100 BC, with complex urban settlements beginning around 2000 BC. After c. 1450 BC, they came under the cultural and perhaps political domination of the mainland Mycenaean Greeks, forming a hybrid culture which lasted until around 1100 BC.
@keen sinew I always had some interest in history, and not being in highschool had increased that
ah i see
...you are very cool now, interesting.
haha i wanted to give to the server
im tryna run something by namington so i can gift something to someone who wants it but he hasnt responded to my DM
thats just the mod i picked to dm
i didnt know who to pick
you're giving things? i'll take things
idk yet
The entire English language can be summarised to “Sphinx of black quartz, judge my vow”
what is the gift. I want it
and all of mathematics can be summarized to "{,}, ∈, nand", and an infinite set of distinct letters
idk if i can yet
im a mod.. i deserve gifts
you see the problem?
oh i need some sort of proof
Ha ha! What about i
what
my point is that a set of letters does not contain all the data about a language
Going via modmail is the best bet
for a formal language you need rules like rewriting rules
what's the issue
Yoo is it generative grammar hours
really you should say "what abotu "="" which i forgot
A person looking at bianary would say it’s summerized in 1s and 0s
Good job globe chomsky is Here
you do need logical equaliry
1 and 0 are already covered by "{,}"
just construct the natural numbers the usual way
What’s your point here?
but a set of letters doesn't suffice to describe a formal language
yyou actuallyy dont
My point being everything comes from parts, and we can think of rules to create these parts, but no matter what, it all comes back to the parts
only if your language is a code
xD
Grammer isn’t something you have, it’s a quality
otherwise there exists nonunique factorizations of your word over the alphabet
and so you can't treat them as fundamental "parts"
How do you know our language isn’t code. Code has grammar
unhelpful. chomsky is correct here
i'm not sure what you mean, do elaborate
a code is a language without the empty word that has unique factorizations over the alphabet
Anyway, I’ve dug myself into a hole over a joke. I must abduct myself from this hole like the green goober I am. Remember, the numbers don’t mean anything Mason
i.e $X \subseteq \Sigma^+$ is a code iff. $ w = x_1,..,x_n =x_1',..,x'_m \implies m = n$ and $x_i = x_i'$
well each x_i = x_i'
josemom2
\Sigma is an alphabet and \Sigma^+ is its kleene closure without the empty word
I have the slight suspicion we are getting into theory of computation here.
yes
I'm gonna start reading introduction to the theory of computation this weekend. Call me in a year and i'll be able to not talk about it still
Chomsky mentioned in a math Discord 
https://tenor.com/view/leonardo-dicaprio-django-gif-18348738
Can i get high paying jobs as a math or statistics major
No
This question reminds me of someone named Jim Simons
trying to understand a bit better what does it means for 2 functions to be lin independent. I know what it means for vectors
the functions 5 and cos(x) are linearly independent.
but i can take x=0 and multiply cos(x)by 5 and I would get 5
why am i not allowed to do that?
No, you're bound to be poor to eternity
This is analogous to saying “the vectors (1,0) and (2,1) are linearly independent, but I can take the first coordinate and multiply 1 by 2 and I would get 2”
The value of a function at each x is a different coordinate of a vector in an infinite dimensional vector space
ok i need to consider all the values of the function
gotcha
also, i've just realized the dot product for 2 functions as a parallel for fectors
it's same thing but vectors have a discrete amount of values
and functions are continuous
so i'm taking theintegral and multiplying them
Yep, it's essentially the same thing, as nGrupoid pointed out, function spaces are infinitely-dimensional vector spaces.
So they're still vector spaces and a lot of things carry over very nicely from the finite dimensional case
And some things get much gnarlier
and this dot product idea is great because i can look at it also frmo the perspective of "how much a function is similar to the other?" and if you think about it you can say the exact same thing when you take the dot between 2 vectors.
Yes! Very good observation.
i feel with linear algebra now i'm connecting many pieces together
linear algebra is pretty OP
overpowered
my first a-ha moment was realizing i could use linear algebra to solve linear differential equations
well, only very simple ones. but still it was cool, and i hadn't taken DE's
(still haven't actually)
i'm doing them now, and stoing fourier series. so i've started learning about them and found some videos that explain the relation between fourier and linear algebra
i feel i'm on the upper floor now and i can see everything from a bit higher up
so in the case of functions, it's called inner product right?
well, in the finite dimensional case it's also called inner product
it's just a generalization of the dot product, i suppose
but you cannot call dot product for functions?
suremark MSC2020 60G40
except when they mean plain multiplication i guess
In infinite-dimensional case you typically write <f,g> for the inner product.
But the fundamental mechanisms are the same
You also get lots of inner products that don’t look as much like the dot product
Probably because dot can be confused with pointwise multiplication, and circle with composition.
Also that
yeah that makes sense
What does not looking like the dot product mean?
Every hilbert space of same dimension is isomorphic so id say every inner product looks the same
That is actually a fair point, but I was getting at the fact that inner products don’t need to be just term wise multiplication and addition, or the obvious generalisation to the integral but yeah I get that point
But I was mostly just trying to make it clear to someone learning this for the first time that you can think much more generally than the dot product
Another way to think about this is that every inner product is the dot product under an appropriate choice of coordinates
i don't know what this means. what makes a dot product more specific than inner prod?
a dot product is a specific case of an inner product
An inner product more generally is just a symmetric, positive definite bilinear form, so more than the dot product can satisfy that
If you have coordinates x, y, z, then you can define a dot product (a, b, c) · (d, e, f) = ad + be + cf
But notice this depends on your choice of coordinates x, y, z
For any inner product, you can choose coordinates so that the inner product is the same as the dot product you get from the coordinates in the above manner
i could continue asking questions on this but i think it's more advanced than what i know now
i'm still not sure what you mean
maybe i would need an example
is "the same"?
Consider Tr(AB^T) where A and B are both square matrices, that’s an inner product. I think it’s quite easy to see how that looks similar but not exactly like the standard dot product
and of course you can always just change basis appropriately to recover the dot product
i don't know what you've written sorry.
i'll study this one day
dont worry too much
thanks for trying 🙂
i only kno ^T is transpose
but Tr i dont kno
it's the trace of a matrix (sum of its diagonal entries)
unrelated question but kinda related
did fourier knew about the linear algebra approach to its series?
was it already a thing?
did he get there through some other intuition?
Due the solutions of wave equation
In 1 dimension
The solutions are u_k(x,t)=(A_kcos(kt)+B_ksin(kt))sin(kx) with k an integer (the k appear due boundary conditions)
So the sum of all solutions is also a solution of the wave equation too?
That was Fourier idea
At least what they told me the first day at harmonic course
That was also how I was taught it in my waves course

Actually only way to calculate the trace of a matrix is to find its eigenvalues and then add them together
That's the only way
Compute log(det(e^A))
To compute the determinant, pick points at random from a gaussian and compute the proportion whose preimages under A land in the unit cube
And transform it correctly
Monte Carlo is for bussys
Ok I honestly got no clue why this gives the correct answer
It doesnt, you need to do some weighting
Am I just going to use a finite series of e^A?
Oh for the log of det e^A
Thats hard to prove
It comes from jacobis identity
For d/dt det(A(t))
Which is like
Something dumb like tr(adj(A) dA/dt)
What in the world is adj(A)?
And you apply that to e^tA to get a diff eq
Adjoint?
Classical adjoint yeah. The one with the cofactor determinants
Or "adjugate"
It's something like det(A)A^-1
To show this you can just compoot i think
the collection of derivatives of determinant function
Jacobi's formula 
Yeah this is not going to be easy for me to compute. I need to find some closed form of the determinant and that's going to take some time
You only need the multilinear property of the determinant and the cofactor expansion
Oh, ig this involves some induction stuff then?
Hey guys how do i learn units I have never seen before on dimensional analysis khan's video on algebra unit 3
The sum doesnt count?
i used to play tf out of bedwars
I can still jitter click 17 cps
Years later
for some reason now when i think about playing it now there's some weird anxiety in the background of fearing failure
hopefully about to play bedwars solo for the first time in years, wish me luck
3rd place ahh
3rd place again
fuck my body is shaking
how did i use to play this
Guys need advices for a beginner in Maths and going to the second year of HighSchool I'm bad at Math and I really need your help or a roadmap that you would advise yourself if you are in my place !
I've a passion on math about this subject
What's going wrong?
if you have calculus at school you can watch this series
it really helped me
It is helpful for beginners to watch some vids to understand how calc essentially works
But to further advance in calc one must remember a simple way to convert math problems to calc formulas directly
de^x/dx= xe^(x-1)
(d/dx)x^x = x*x^(x-1) = x^x
I know this is dumb but what symbol substitute as the divide symbol? my sci cal divided button is broken
a/b = a*(b^(-1))
blasphemy
power rule only works when the base of the exponent is a variable and not constant
you can get the derivative for e^x by impliclity differentiating
y=e^x
ln(y)=x
y'/y=1
y'=y
y'=e^x
the derivative for a^x where a is a constant is ln(a)a^x
the derivative of log_a(x) is 1/(xln(a))
the derivative of ln(x) is 1/x
You can also do F(x,y)=y-e^x and dy/dx=-F_x /F_y
Yes
F_x is the partial wrt x
It makes implicit differentiation much easier
Comes from the chain rule for multivariable functions
may the great minds of Gauss and Riemann etc guide me through the difficulties

Can someone help me with this linear relationships rq
Hello discussion 2
Sauce
link to pfp
Hi, found this cute vid from an anime page on fb and would like to share it with all of you. for some reason, I cant seem to find the real creators here in youtube but for disclosure, i did not make this, and only want to share it all of you.
Fb Page From: https://www.facebook.com/goodanimememes/videos/2384482071799547/?eid=ARAhsHEzonv0MhFRr-lq...
how do i solve this:
"At the moment B, John was 50% older than Joe was at moment A, when John was as old as Joe was at moment B.
Questions were true/false questions based on the above task.
The age difference between John and Joe is B – A years at moment A.
Joe's age is 4 x (B – A) years at moment B."
#math-discussion message
Well I'm going to end this by saying: the first and last rule of design islet it be what it is, and not what it is not.
Provided to YouTube by Universal Music Group
Let It Be · The Beatles
Let It Be
℗ 2021 Calderstone Productions Limited (a division of Universal Music Group)
Released on: 2021-10-15
Associated Performer, Vocals, Piano, Bass Guitar, Maracas, Background Vocalist: Paul McCartney
Associated Performer, Electric Guitar, Background Vocalist: G...
Please read some books or take some classes. You would be currently described as a "crank" by the academic community. That is all.
I'm going to now start my discussions in software engineering from now on by stating I'm a crank.
I can't change my server nickname 
I think you need Active or smth for that?
I shall wait patiently to become Andrew Porter, resident crank
I think people will realize even without the tag
As opposed to understanding my viewpoint and why I say what I do just as I've asked what others' are
Saying that baking a cake is not mathematical is common sense.
DM @polar panther
😂 it's not important lol
anybody here is familiar with the book "secrets of mental math: the mathemagician's guide..."?
would someone recommend me that book? i struggle with mental calculations
I think you get better with mental calculations if you just do more math. That book is for "math tricks", but you'll learn various tricks if you just study more math. It seems like a fun book though.
Hmm I'll check it out. I'm curious.
eh, i disagree. i've done plenty of math thus far and i haven't really learnt to do math better.
"study smarter, not harder"
i'm picking up that book because i'm struggling, silly :p
(no offense)
Actually it seems like a cool book
Maybe I'll read it one day.
Sorry for the earlier bad advice.
wait we need to do mental calculation in math.
💀
I thought that was the job of the computer.
Of course.
It is in my books, I’m not working out eigenvectors by hand if I can help it
i do that all the time
for stuff i don't want to do in my head
if you can do it in your head/on paper faster than it takes to pull up a program and enter in the values and have it calculate, then do it!
(I hope everyone does that. We're not in the era where we need to spend hours to find an approximation of the square root of 2)
yeah
This sort of stuff wouldn't help much with higher level math, but hey, being able to do simple arithmetic in your head quickly is nice.
(And yes I will use a computer.)
yeah, i can do stuff like 3 digit number x 3 digit number in my head
and simple integrals, is that normal?
Of course.
I think if you keep doing math then some things just become easy, so yes.
well........
Quick mental maths is also very much a skill
thats the thing i dont have a lot of practice with integrals
If you do them a lot, at some point you will be seeing integrals on someone's face. 💀
I could do a lot in my head very quickly in highschool, but I can’t do shit without some paper now
And my ability to add and subtract numbers is probably worse than a lot of 10 year olds
If you keep doing math you will get more practice.
Because I just don’t do it very often anymore
💀 mf just born different
I miss the integrals phase.
I might as well just do them during my breaks at this point. 💀 But the reason why I liked them was because they were not difficult to not solve and too easy to get them right away (sometimes).
You mean Calculus 2? I don't. That stuff is way less interesting.
Hey man I loved the flow.
But now I have to look at my whiteboard and go "hmmmmm, maybe, nah"
Very much.
For a moment is very true.
I did one the other day and was not that impressed after an hour.
💀
But I would like to get my hands on (and have the time) to go through (Almost) Impossible integrals.
i ask chatgpt to do math problems, but i tell it to write code to solve it
alright i got one for you
wait lemme get the piece of paper
so basically
🤔
its an acceleration function defined in terms of the exponential of the corresponding height function
I'm already lost. 💀
so basically
so basically f(x) is defined in terms of ∫ f(x) and e^((∫∫ f(x))/c)
🤔
i need to find the second integral of f(x)
this seems nearly impossible if not impossible
Wait you want to find a function such that $f(x) = \int f(x)dx$
my plan was to solve it through lots of computation for the thing i need it for
NotRealJohnny
no
its DEFINED in terms of the integrals
but its not equal to integrals
wait lemme get the piece of paper
oh yeah, ph(T) = p_0 * e^(height(T)/H_n)
all stuff except for T is constant
accel(T) = (0 if T >= B_T else (m_f - m_0)/B_T(B_isp - ph(T)/C_isp)) - GM_B(m_0 + T(m_f - m_0))/(R_B + height(T))^2 - 1/2*ph(T)*velocity(T)^2*AC_d
velocity(T) = ∫ accel(T) dT
height(T) = ∫∫ accel(T) dT
problem is to find formula for height(T)
@scarlet lark here's your almost impossible integral
hold on I gotta go bald real quick.
Alright, I am (almost) bald.
fur
Why should i not major in math
Why should you
is anyone good with linear equations?
its hard and stressful
what do you think is the most stimulating activity in mathematics you have experienced?
(whatever action , from solving problems to learning new things ,
(in any context you want))
(by stimulating I mean addictive/exciting/motivating ,whatever is understood by something that generates strong emotions)
(or what you think in general is the most stimulating activity in mathematics?)
most recently it was proving there is a rational number between any two distinct positive real numbers
just felt counter intuitive because there are more reals than rationals
so it was cool it works out
how does it felt?
(I mean , in a more descriptive way)
how a ranking on this would be?
solving problems after working on them feels like a little high
yeah , you think there is something more stimulating?
I am trying to check what is the more stimulating part of mathematics
maybe some people really like rigor
idk
i cant think of anything that could be more stimulating than solving a problem
in math, i mean
Serphic
im not going to check if that's correct but if it is it's well known
is it useful?
there's probably some cute identities you can have with this
@sturdy gulch
depends on if u consider that useful or not
i was thinking of if there's a way to write a number to an exponent in terms of a number to a smaller exponent and then solve for zeroes or something
i think you should look up the connection between the fibonacci numbers and the golden ratio
no i do already know that that's how i got all of those identities
wdym by useful then 😭
idk im just trying to apply it to something else 😭 i was just bored and was praying that i was finding something new (which i know for fact has almost definitely been discovered im just coping bc i didnt see it anywhere else)
ah
not to pop ur bubble
oh okay ur aware
having said this
this is good!
playing around on ur own, figuring out (to you) new things
it's wonderful practice
like i was messing around and accidentally somehow found binomial theorem and was shitting myself until i found out im approximately 2000 years late 😭
so there's not much to say for usefulness or wtv
but i am proud of you
and you should be proud of urself
welp time to move on to another thing to mess around with then!!
gl!
I think the most powerful experience I've had with mathematics was finally solving a conjecture I was working on for about 4+ years at that point
checking my answers against the computer program the original authors used to formulate them (which I didn't have access to until the end) and seeing everything match up perfectly
that was really great
i'm almost certain i wont be able to understand it, but what was it?
a very detailed and explicit computation with the cohomology of Shimura varieties
the answer in the case I studied is like 2+ pages long lmao
yep that means nothing to me 😭 sounds cool tho
wait
i might've actually seen that before
the content of the computer program might be a ltitle easier to understand
you can sort of guess what the answer should be if you do very careful computations of like
YEAH i've seen hte langlands program
you count points on genus 2 curves (so curves of the form y^2=f(x) for f(x) degree 6 with no repeated zeros) over finite fields
the answer of the cohomology computation encodes a bunch of information about point counts over finite fields like this
that's starting to make a bit more sense but
i have not taken homology/ all of lin algebra yet for any of that to make full sense
wait
fields can be finite????
i am so cooked i did not know that 😭
yeah
I mean the standard example is integers mod p (Z/pZ)
that is a finite field with p elements, for p prime
in general you have a unique (up to isomorphism) finite field with p^n elements for every prime power, and that's all of them
they aren't just integers mod p^n in general, it's a little more complicated than that
aaand now im lost again why is it prime numbers 😭
yknow what i should probably just learn cohomology or smth
actually i cant
arent there like
3 years of pre reqs
prime numbers are relevant because like
you don't want things like zero divisors if you want a field
like integers mod n when n is composite are bad
for example with integers mod 6 you could take the nonzero elements 2 and 3, multiply them together and get 6, which is 0 in this ring
you shoud never be able to multiply two nonzero elements to get zero in a field
okay that actually makes a lot of sense
same issue obstructs integers mod p^n being a model for the finite field with p^n elements
anyways once you have finite fields you can do algebraic geometry over them, and there is a lot of stuff you can deduce from basic problems around like, take some system of polynomial equations over a finite field, counting the number of solutions over finite fields
the nice thing is a computer can do this and it's very easy to just do this by brute force (although maybe harder to do this in a smarter efficient way)
well that's fucked
the only code i know is 'hello world' and how to bring a calendar library or sum into python 😭
it's as simple as just like
let's say you just do this for integers mod p, so that's very easy to implement
if you had a system of polynomial equations in n variables over Z/pZ you would just like
idk literally just try all p^n combinations of inputs lol
see this kind of stuff is why i kinda wanna do pure math but like
too much math 
like it's so exhiliriating when i finally understand the thing and can actually solve it and use it and whatever
but the 9 hours of bashing my head into the wall trying to understand how/why for every single topic is going to make me go insane
Z/pZ so cute/strong and heckinbased
Do it
thing is i want to have an applied use for math because
engineering sounds very fun and i want a job that i'll enjoy
could do pure math as like.. a minor or hobby or sum
fr now tho i could actually just get on the way there
Don't let Big Math fool you. This is common. There's many applied people.
big math 😭
no but fr it'd be very cool if i could actually find a use for some pure math in an applied job like
wasn't there something about prime numbers or sum that ended up being used in cryptography
There's whole areas of math being used in cryptography

Elliptic-curve cryptography (ECC) is an approach to public-key cryptography based on the algebraic structure of elliptic curves over finite fields. ECC allows smaller keys compared to non-EC cryptography (based on plain Galois fields) to provide equivalent security.Elliptic curves are applicable for key agreement, digital signatures, pseudo-rand...
by chance
can some1 please tell me whats wrong with my code?
"odd and even functions. Most functions are neither of course."
why ?
i tought odd meant not even.
I could be wrong but this is the answer that came to my head just now
When thinking about numbers, yeah theyre either even or odd
But functions are different, the definition for an even or odd function is completely different to an even or odd #
No
A function f is even if f(-x)=f(x) and odd if f(-x)=-f(x)
Typically neither of these properties is true
ahh
so the fourier transform of a function that is neither, will have both sin and cos right?
Yea
Mhm
In AP exam, should I do Calc AB or Calc BC exam?
I haven't done research on many universities so I'm not sure about the majority of universities. From what I read from a few uni, Calc BC is often equivalent to higher courses.
But my friend told me Calc AB is for natural science and Calc BC is for data scientists, statisticians. So I should do Calc AB if I want to pursue professions relating to engineering or computer science.
Can someone help me to decide on a course to study, in case I can't do both?
BC
BC is simply just better
it’s a superset of AB, so calc AB is basically just the first part of calc BC
yo
it’s not really meant for a field like science, it’s just elementary calculus
I'm new
hello new, i'm nu är vi här
Any electrical engineering knowers in the chat
any tips on how I can make my math steps more readable
look at this for example: https://imgur.com/a/VS2QVeW
I feel like it could be made to look simpler
(it's just a u-sub btw)
it's already perfectly readable
anyone here use pens?
my pilot g2 died and im curious if you have any pens you guys really like
I use the Frixion clicker 07, only pilot pen that my school bookstore carries
gotcha, thanks
pilot V5 Hi techpoint
thanks guys, anything in particular that you like about the pen?
The ones I recommended don't leave massive dents in the page. Down side, they can smudge
I mean if the pen is good you shouldnt leave a massive dent
unless the pen is running out of ink that just seem like user error
yeah I have the same problem with pencils
they just rip through the page
Random question for anyone: what’s the most interesting part about history to you?
the dinasours
That’s history? Rocks?
yes
We don't learn from it.
the fact that we know/don't know so much of it
geological history is very fascinating for me
if you mean something human based, then... idk?
the 20th century has always piqued my interest
but there's other parts of human that are very interesting too
the history of the earth is really damn cool though lmao
Rome or Greece or ancient something
Yo so why
Is discord primarily guys but moderators on discord servers are mostly girls
It's thankless, unpaid drudgery; men are culturally primed to foist such things onto women
Roman history is fantastic
fr
Just learning Roman history atm lolol
cool
I like historical linguistics
It’s originally a demonstrative like “that” but with an unstressed pronunciation bc of its frequency
Oh fr?
I was talking about
you know what I'm saying, I want the history of
||this joke is so good that noone understands||
Indeed words were not spaced until like a thousand years ago
The only thing standing in the way between my wife and her GED is math. She failed once and I need to motivate her to try again
Yall I just got my results for my application and I got accepted into tj (Thomas Jefferson high school for science and technology)
what if we live in a hypothetical and some day an event completely unexplainable by science happens and it never happens again
That is my favorite part of Linguistics as well 
How are you liking the Linguistics server?
i left it, it was not very engaging
Ah sorry to hear that.
I feel that's the field in general. Small field.
At least I still have some colleagues to message every once in a while from the olden days
if y'all turn in an assignment a couple minutes late do y'all mention it being late or just not mention it and hope for the best
If it's not too late than I'd just not mention it
it depends on how much your teacher likes you
any recommendations on how to refresh my math skill? Been a few years after high school and i wanna go to college and major in math
at which lvl
wym
like is it precalc that you need refreshment etc
okay I just want to see something
to anybody who sees this:
what is your opinion on Axler’s Linear Algebra Done Right?
Better question: Are you speaking about 4th or 3rd edition.
Most people scream about determinants but determinants is in the 4th edition.
4th
i studied with it and it was absolutely fine
determinants were in the 3rd edition too
they were just at the end
and dami says
done terribly.
apparently
allegedly
Yeah it basically doesn't count from what everyone says. Hence the 4th edition
im always gonna be on this position
im still gonna read the 3rd ed
just cuz i physically own it
and i already started it so long ago
From what I understand the way he doesn't do determinants is perfectly fine, he shows how to do LA without it.
that if ure someone whos never learned a Thing before then u shuld be approaching all advice abt studying that thing with a massive grain of salt
it u read ladr and think determinants are done wrong... just read abt determinants from another source
thats pretty smart i never thought of that
in a world where u can access pretty much any txtbook u want, textbook choices shuld be the last thing to have strong opinions abt
100% this
Every subject I use 2-3 textbooks
yea like
a lot of the times i think just reading the same paragraph written by two different ppl helps me understand it better
a lot of the times i think ppl first learning a topic fixate too much on "im reading [author]" rather than "im learning [topic]"
agreed
u presumably grow out of it so i guess thats fine
I understand higher level courses, but it's crazy to me how many people in book recs spend weeks trying to find the perfect middle school geometry book like in the time it took you to ask about it 10x you could have just grabbed any book and gone through it by now 
id agree depending on where higher level lies
what about teaching though?
if a teacher wanted to teach from a book, should they pick LADR?
i rly only think it means anything to minmax txtbook choices if u know how to get thru a book to a satisfactory point on ur own
thatd involve more tangible questions that u can ask abt a textbook
To be fair middle school geometry to them feels like higher level math to us
fair enough!
my opinion on LADR doesn't go either way
i also assume if ure someone whos teaching smth
uve looked at it for long enough to have fantasised abt giving courses on it anyways
so u know what u want from a textbook and what kind of experiences u wanna reinforce
Yeah but someone who doesn't know anything about that could go through that faster than say a uni student learning complex analysis for the first time.
At that level there's a lot more resources online such as YouTube and more amount of people can help them such as in this discord. and variance between books isn't as such a degree as maybe between LA books.
If you have multiple people over multiple days telling you to grab a book, you should listen instead of thinking "Nah I should just ask again in 2 more days, these 40 answers don't know what they're talking about"
i think its our responsibility to just not engage those kids
I'm not agreeing with them so much as saying
we're enabling the intrusive thoughts
I stop after the second or third time
It's kinda the same reason why, if you're not careful, middle schoolers doing y=mx+b will see "algebraic geometry" in the advanced channel
And think oh yeah this is where I should be asking
Because to them that's advanced lol
the service we provide to middleschoolers by operating help channels is dumping money into the money hole
i doubt any of them evolve to become great discussiers...
one time someone posted in #algebraic-geometry asking about "al khayyam's cubic solutions" which is in fact, both algebra and geometry, but sadly not algebraic geometry
i think it shuld be noted that like
such a small amnt of ppl in chat isee are conversable
am I conversable
i think theres more than one piece of evidence suggesting it
Not Dami with the
react 😭
I wondered if someone would catch that 
I shut down one of his jokes and this is how he gets back at me
lmao
Which one
Allegedly
so true
dw I tell myself that 50x more than everyone else combined ever will
gamblers fallacy chat we gotta cut our losses while we can
ok now ur just making me feel bad
close rhe help channels and this chat will flourish
here, have a cookie 🍪
STOP DONT APOLOGIZE
???
now i feel even worse!
what why
#discussion message this was it
damb. u made him cry
i feel bad for making you feel bad enough to apologize
what I felt bad for making you feel bad 😭
Oh that wasn't bad at all
I don't even think anyone noticed that whole convo except you two lmao
Wait a second
the soy anger
I'm a killjoy like that.
Did I have a dyslexia moment?
wdym
I thought you said "more like asking harpz to help hayley"
And was like yeah the joke is they're the same
oh
lmfao
I thought you didn't get it, and when you were like yeah I did
bruh moment
Then it seemed like you were just correcting an obvious joke to kill it
bruh that's why I said harpz to help harpz lmfao
higgins
You're Hig because you can never be Her
Ah right you're ing, I forgot about that
Or were idk what you go by precisely
Is this a bit or a new name or what
I changed my name on April fools but I was the only one who wasn't kidding 
it's a new name
Gotcha
higher, hgr, hr, hig, whatever
it's all fine to me
I like hgr because it looks nice to me idk
I have amnesia wrt old usernames since we didn't talk a ton so I probably will just know you as this now
and it's 3 letters for 3 letters (ing -> hgr)
yeah that makes sense
amukh and the others had a harder time adjusting lmao
speaking of which... it's about time to get rid of this bra-ket name lmao
Oh it's bra-ket
I was like wait is the her part your pronouns? Then why do you have he/him pronoun role?
😭
100% my first reaction too lol
It took me a second to figure it out
Hence everyone saying "Hig"
I literally didn't even realize
until just now
that it could be misinterpreted like that
😭
It's okay this server is very welcoming of your community 
now I am higher!
let's see how long this username lasts until I just end up reverting to Higher...
Isn't that what it was before?
are you positive recurrent or null recurrent
yeah it was
sometimes I see people with exclaimation marks at the end of their names, so I'm trying it out
I remember you as Higher and ING, everything else I delete from my brain
those were the only two names I've ever had
on mathcord, that is
You had like 3 variations of ing
the only other one was the bra-ket name
the only two names i've had are suremark and suremark MSC2020 60G40
60G40 Stopping times; optimal stopping problems; gambling theory
all of the weird names I've had are basically because of helpers shenanigans lmao
Yeah that cursed thing
some of them will change their names to smth weird
and then I follow suit
oh actually my user name was
.
for 2 hours
lmao
Is there a username history?
@jagged forge
no I just remember them
Ah
the only other username I've ever had on any server was my first
"grief beyond belief"

yea 60G40 is stopping times and stuff which i think is related to martingales
i mean it is right next to it
i want to do probability tonight but i need to look at this model theory textbook and figure out whether i should ask to join the model theory reading group
Probability can wait
I saw stopping time regimes come up in harmonic analysis/GMT/pde stuff today
idek what a stopping time regime is
They will learn to fear and rejoice our coming
IIRC it's basically as it sounds. You will continue to gamble until you've made 50% or lost 25% of your starting cash.
https://arxiv.org/pdf/2103.12497 came up here
In stock markets and FOREX, whole numbers and Fibonacci sequences are common stopping times
This is definitely something else
Oooooh
i mean ik what a stopping time/rule is, idk what regime means
Nasty stuff
Yeah I'm reading about regime stuff now
A lot of it is in trading papers
Saw some group of 3 working through this exact condition (and the generalization in the follow up paper made by stitching this together iteratedly) today
Very nifty to see stuff worked out
Ominous
the only thing i found googling about regimes were regime switching models
like something called markov switching multifractal
Yeah I saw that
It seems "Regime" doesn't have a standard definition and it's whatever the author defines or uses in their paper.
@jagged forge Should @fresh comet learn C++ or C#
uhm, i don't know much about their background, i'd say neither language is particularly beginner friendly, but c++ much less so
I've done some Java in the past
He's new to anything programming, first year uni student
ah. c# is like java
Then you can go right into C#
C# = what Java was/is supposed to be
how proficient are you in java?
Well I think you should do both, and I don't think the order of which you learn matters.
idk what proficient means
did you do, like, a project yet
I would probably say "not too proficient"
Could you make something right now? Or will you be balls deep in a tutorial
Yeah but can you do a for loop off memory lol
yeah
Some people can't even do that
I haven't touched Java in almost a year but I still remember the basic stuff
if statements, loops, methods, classes, arrays, etc
OOP stuff I've kinda forgotten
inheritance and whatnot
python has a little bit of oop but it's pretty invisible a lot of the time tbh
I guess the most substantial thing I've ever made was a re-creation of a certain flash game, albeit very scuffed
it was done entirely on Eclipse though
so idt that would count as a project?
isn't eclipse a code editor, why would that make a difference?
idk, I've never known anything else
is it only a real project if u do it in vim 
and I'm not sure what "real" programmers use lmao
Deltoid recently got me to download VS Code
vscode is nice
idk how making a project works tbh
well really i mean, anything that's like, not just a homework assignment
something that has a few different pieces to it
and requires a little bit of craftsmanship
obviously it can vary widely in scale
well yeah but I meant like
I don't know how programmers actually make their projects lmao
like what do they use
oh, i misunderstood mb lol
well it's less about the tools imo, and more about how you think
i mean tools are important but code design is more universal than that
makes sense
some people will insist you make uml diagrams for everything
and sometimes diagramming makes sense
but surely you don't use one IDE for an entire project right
hmm
i always felt like smth like this when i first did coding
my first foray was into minecraft modding
here are like, the most important things for making a project imo
and i felt an insurmountable difference between my code and the pros bc they used multiple files
- have a clear enough idea of what you want to make
- figure out the different pieces involved in making the thing
uhhh
- make the pieces?
that doesn't sound so different from what I've made before ig
it's the details that ig I don't really understand how programmers do it
so like, is there an example you're thinking of that's like, you can't imagine how that could be done
Transitioning from Java to C# should be pretty easy to you
hm
wait hold on now I'm confused by my own confusion 
If I had to use more than 1 IDE for a single project I'll just quit 
idk I guess I never felt like anything I made in the past was a "real" project ig
That's normal
so I always thought that programmers were making things way above and beyond
Coding is probably the biggest imposter syndrome of anything in the world
but I suppose the process really is similar 
i remember feeling that way when i was reading other people's code as a roblox programmer
You'll be surprised how simple a lot of big projects are
i was like, how tf does anyone write 10,000 lines of code
It's not more complex, it's just more
I guess my biggest issue is like lack of experience
once I make a real project, I'll understand better ig
my largest ever was like
yeah probably
let me see how many loc my project at work is
When I made my first game I realized it wasn't any more complex than the MVP, it wasn't more complex classes, it was just more classes. More art. Etc
I think my scuffed flash game thingy used... 4 classes? 
yeah sometimes the name of the game is scalability
but tbh they were not too complex
--------------------------------------------------------------------------------
Language Files Lines Blank Comment Code
--------------------------------------------------------------------------------
Rust 116 33011 4159 2774 26078
Markdown 24 1653 226 0 1427
YAML 25 1337 19 10 1308
Toml 25 1506 153 82 1271
JavaScript 2 1649 203 178 1268
SQL 55 1096 0 8 1088
Python 5 563 100 6 457
Protobuf 2 341 40 35 266
Plain Text 2 205 33 0 172
JSON 1 1 0 0 1
--------------------------------------------------------------------------------
Total 257 41362 4933 3093 33336
--------------------------------------------------------------------------------
Yeah and you could really flesh that by making it 40 classes, pretty much copy + paste
@fresh comet The Game of Life is a fun and simple coding project
and here is the stats for the open source project that my project uses
--------------------------------------------------------------------------------
Language Files Lines Blank Comment Code
--------------------------------------------------------------------------------
Rust 727 360651 32983 50763 276905
Markdown 125 22043 4102 0 17941
JSON 12 9361 0 0 9361
SQL 124 5673 306 106 5261
Protobuf 2 1936 289 234 1413
Toml 28 1711 144 489 1078
Bourne Shell 19 1427 191 459 777
Plain Text 7 863 129 0 734
Python 8 1156 203 221 732
reStructuredText 3 166 31 0 135
HTML 3 59 8 4 47
Batch 1 52 9 1 42
CSS 1 86 15 36 35
JavaScript 3 89 5 51 33
Docker 1 37 10 16 11
Makefile 1 38 5 24 9
--------------------------------------------------------------------------------
Total 1065 405348 38430 52404 314514
--------------------------------------------------------------------------------
400k lines of code lmao
and then the linux kernel is like
30 million lines of code or smth
hmm
that would be fun to make
too easy, u can do it in 1 line of code
I know someone who worked on a flight sim and that I think was over 1 million LoC
Okay I know it was over 1 million but I don't know how much
I don't expect that I've suddenly gotten better in my 1 year's absence from coding
life←{⊃1 ⍵ ∨.∧ 3 4 = +/ +/ 1 0 ¯1 ∘.⊖ 1 0 ¯1 ⌽¨ ⊂⍵}
You still have time to delete this
this is in fact real code btw
Yeah APL is cursed
whats that
game of life
Yeah you can start with any project, then add to it. So the Game of Life, there's tons of variations, you can add rules, change the board shape, etc
lmao

