#high school to university grind montage, will need help during that tho.
1 messages · Page 4 of 1
but more like a " What do you feel happy about at the aftermath of your life "
and that is why there's a striked out triangle on top of H in the first equation which means it's the happiness that happened and thoughts.
And the H has a non striked out triangle at the second equation meaning it's what you consider happy after it all.
which basically says, Consideration of Happiness | for You = zeta of the events and thoughts throughout your life
now what does zeta mean? zeta means what you think of that after it all
the zeta doesn't affect whether it should be added to the happiness thoughts factor.
it does give out happiness or sadness or regret but we aren't focusing on that in the second equation
we are focusing on what you consider happy
after the events from your birth which u can remember or think of, till the current present you live in
@final bolt this is what that equation means and I think I can calculate the world's happiness by this
But also a thin line difference is why happiness matters. Which is why I am calculating it only for humans who actually think of it rather than for animals who might feel it but don't acknowledge their existence
for example, cows love eating grass and they feel happy by it. but why I'm not including that is, cows may or may not remember that they ate grass and they were happy of it. I don't think they generally have thoughts at all other than survival based
I thought this was about maths
this was but I got a thought of another deep thinking concept
and thought it would be cool to make a theory out of it
because the idea came to me when
someone said
the world is full of suffering
For greek the letters there's around 52
I said " What you consider sad, might be happy for someone else "
yeah, I use them because I don't like them and know that I can use them however I want because they're just fancy variables
For example, if u think doing a crime or eating an animal is sad and suffering
the person who's doing that might not
I'm writing a .txt for you to explain it
Some Serial killers said they felt happy about it
oh thanks
but really it's not worth it
It's an equation to derive happiness amount
but u can't really do it with mathematical precision
because u can't accurately remember all your happy thoughts
and more accurately not for 8 billion people
thanks
These are the ones I know might not be all of it
I have no idea what you are trying to do
I explained it in simple English tho-
with telling each aspect of the equation
js read it all
I'm sure you'd get the gist
If u have a doubt tho ask it
Oh I read it, it didn't make sense at a conceptual framework level.
There's no formula for happiness.
but
that is
see because
how you experience happiness
is either by the five senses
Or in your mind by thoughts and thinking
and I add them both, and refer them to where they really start
I feel like this energy can be really good if you directed it at learning greek symbols for future use
This seems like gibberish to me you can’t mathematically describe « happiness », you can maybe do so physically, but that also depends, how do you define happiness ?
happiness is what you think to be uh fun and good and smile, I can't express it right in words but we as humans can feel it.
Neurology is a complicated thing that cannot be taught to a minor
I mean.. it could but I don't really think that happiness is fundamentally different from experiences and thoughts of it
Greek symbols are all really just variables tho
the different topics have different uses to them
Very useful to know their predefined function for university
for example lambda means wavelength or something else depending on the context
I don't think I need to pre learn the contexts
when they come in equations the writer or explainer would tell me about what they mean by that symbol
but anyways
this was just a thought I had
thanks for reading it
ima go focus on maths now
Question, do you know how to do algebra
So you know about binomial theorem, functions, law of operations?
Let's go over that
You should start with that lol
binomial theorem sounds fancy so id want u to give an example of what u mean
yea I am
Okok look
Let's just do operations first
while I was doing that
Maths isn’t about being fancy
yes
it's about concepts
and the how of it
but the things to explain that concept
i.e greek letters and formula names
sound fancy
They shouldn’t
2+3⋅6, whats the answer for this how do you apply the parentheses
okay but whatever u say, something called " Advanced cartesian product " Sounds fancy to me
the topic or concept over which it goes for maybe doesn't.
but the name does
It wouldn’t if you understood it
well depends
u can do (2+3) times 6
you'd do 6 times 2 and 6 times 3 and add both constants
and if u do 2 + (3 times 6)
it'd be 2 times 18
or would it
maybe I think I'm wrong
okay maybe not
because the first gives 30
I would say that the name is purely descriptive, but there's actually no such thing as the "Advanced cartesian product", at least as far as I'm aware. Just the Cartesian product; which is named in allegory to the Cartesian plane (i.e. RxR, an example of a Cartesian product), which in turn is simply named for Rene Descartes.
Aka, multiplication
yea I know, it's not a big deal to me some things' names sound fancy
No, not quite.
Basically, the cartesian product is a way to take one thing from one set and another from another set.
(Or, two things from one set, in order - like coordinates)
I mean, cantor diagonalisation proof sounds fancy to me but what it goes through doesn't seem anything fancy-
like
it's not a big deal okay?
bro hes 14
It is a proof by drawing a diagonal line, invented by Cantor.
I know
Oh whoops, I misread that as being a response to me.
the rational number u add one to each digit of the order
etc.. Etc..
the topic isn't fancy to me
it's cool I like it but
the sound of the name
is what I'm talking about
not the topic of what it covers
As this.
It was, I meant it more in a day-to-day use case
I study engineering, I’m no theoretical mathematician haha
@buoyant trail hes 14 he wont understand the words you're using
anyways uh it was fun seeing y'all once more, I think I'm back on track because I found some YouTube videos which cover topics in one shot and explain me informally so I actually understand it
He also can't understand the words that he's using.
no I do
more like moderator stuff😊
alright here's cantors diagonalisation proof
the rational numbers between 0 and 1 on one side
and natural nunbers on the left
Anyway; this brings us actually to something that I've noticed, that I think you need to cut out if you're going to do this.
which is why you should use laymen terms
u mean the happiness theorem
You seem more interested in the aesthetic of being a smart person who knows math, than in the actual math itself. i.e., you don't seem to find the process of doing or learning math enjoyable; you just seem to want the instant gratification of knowing all of the math.
no what huh
I am doing this on the soul purpose of the concept
on the side ways I feel some things are fancy
whats 1+2⋅3
depends on where u put the bracket
it can be 3 times 3
or 1 + 6
Cut it out. Don't pick hobbies based on optics. Do the things that you think are fun because they're fun to you, not because they're things that some guy in some YouTube video said that smart people like to do.
seriously I'm not doing this because I wanna feel smart in front of some discord people
the happiness idea to me came naturally and it seemed fun to think about
It’s convention to do multiplication before addition
that's why I came here
I see
what is it this time
i.e, it’s a “rule” which everyone just uses since it makes everyone’s life easier
then u dont need a bracket if u want 7 as answer
No, but it’s still better to for clarity anyways
If you found the process of learning and doing mathematics enjoyable unto itself; you would have taken my advice a week ago when I said to drop the ridiculous timeline you're imposing, and to just read Lang's Basic Mathematics. You would have been entirely self-motivated to read that book and do the exercises, instead of this ridiculousness that you're doing now
@timid flume f(x) = 2x, what would f(x) be if x was 4 in the coordinates
lmaooo
I loved the topics of what it thought
but
you've been very much a lot more patient than techie has mr pear
the way of learning that i.e sitting on my desk feeling sinister
Fancy words and some crackpottery. #1364337781102612702 message is where I showed up, no clue what was going on beforehand.
is not something I liked
Unfortunately that’s a lot of maths haha
is it against the rules to tell the mods to go fuck themselves
then you don't like math
I'm more focusing on YouTube videos now
Not at all.
they actually are humans
go fuck urself
who talk the concepts
why would you say that tho
Tell me to go fuck myself all you want.
@timid flume f(x) = 2x, what would f(x) be if x was 4 in the coordinates
idk about that tho
uh it would be 8 in the 8 axis right? and 4 in the x
Telling someone to go fuck themselves isn't excessive swearing rudeness or harassment; it's lighthearted joshing around.
can you rewrite the formula to fit the graph up to 15
I would argue that depends on the context but sure
okay let me try
alright it starts from 0
and side ways till 15 and upways till 15
so
x is 4
Sure. I suppose it also helps that my natural dialect is to swear like a fucking sailor, so it really just doesn't bother me at all.
but f(x) is 2x
so that's 8 if x is 4
now it's four by the right side and 8 by the up side
so it's about 4 blocks right side to the 8 number on the y axis
that should probably be f of x
lmaooooooooooo okok
what country are you from
wrong, f(15) = 2x
no
what do u mean then
f(x), replace the variable to 15 15x2= 30
I've sort of moved around a lot.
oh ok
the 15th block of the 30th block
(a+b)(a+b) = a^2 + 2ab + b^2, what formula is this?
in x and y axis similarly
Knowing the names of formulae might be the worst thing to try to drill into someone.
uh
to find a square times b square
I don’t know the name of that formula lol
I just found my favorite way of learning this today by YouTube one shot videos
bimoreofthemtextbooks
so I don't really know much yet
I think that name refers to the more general case
heck even I don't know what that's called
its binormal theorem
n doesn’t have to be 2
don't think telling the kid [
\binom{n}{k} = \frac{n!}{k!(n-k)!}
] is the best way rn
are you sure
Bravo
And I don't think lying to them is the best thing to do either. That's a special case of the binomial theorem, but it's not the binomial theorem.
I'll learn things soon
I don't even know how to properly do graphs yet
Google the topics or whatever in there however you want
Come here to ask if you have any questions
and since I don't like textbook reading that much, I'm focusing on YouTube videos of people who are lecturing subjects
yeah alright
if you wanted to learn, you would've learned by now
Not everything, certainly. But some progress would have been made every day, especially given the sheer volume of resources that I provided earlier.
Then just search those topics in YouTube or something you’ll get way further than whatever this all is
so if you're learning graphs do you do y=mx+b yet?
so a few hours ago I came across a random guy explaining about pair of linear equations in two variables
and I liked the way he did it
so
I am grasping something faster there than just reading books on my own
What topic is that in your textbook
uh
I don't know
but it's one of the chapters
in 9th or 10th grade
and it's pretty key to algebra
Which grade are you in again?
no not yet
Started 9th
but only went 3 days so far
but anyways
I shouldn't be wastjng time here
What’s the very first chapter in your textbook
rational and irrational numbers
Write the number four thousand sixty two in figures
Are there exercise questions?
4062
definary something related to binary or you'd tell me to do something
what
Write these numbers in order of size starting with the smallest number:
75, 56, 37, 9, 59
In the textbook
Do those
Do them
I wanna learn conceptd before doing excierces
Watch a YouTube video on irrational numbers first then
Then do the questions
Then come back if there’s something you don’t understand
9,39,56,59,75
alr bye.
Where does the number with the red arrow point to?
trololololololololo
What's the point of this?
To figure out what he learned
Brother he’s 14 not a chimp lol
Besides strictly speaking that number line could mean anything
Shits wonky
Lol
I made it in mspaint okay
Could be a 14 year old chimp. Some of them have proven to be quite intelligent, like Nim Chimpsky.
Toeing a line there given he’s Indian
I don't think I knew that.
It'll be good if we don't make assumptions about people's intelligence
I think he mentioned that earlier
Probably, but this thread has over 3,000 comments.
well we don't have to assume when they keep talking
that gives you an idea of their intelligence
We don't need to. The kid is able to write basic proofs (e.g., the sum of two even numbers is even). They almost certainly know basic arithmetic and the basics of manipulating algebraic expressions.
The questions will get harder and harder as we progress
Dude its always a blast to read a thread by Usap.
fr
It is pretty entertaining ngl
Ikr
Btw I just found another kid who wants to invent math
But this guy just seems to wanna invent math for the sake of inventing math, not because he wants to take over the world or skip school or anything
I know several kids who have done actual real research in their teenage years.
It is very doable.
They're just the ones who are intrinsically passionate about the subject rather than only wanting the aesthetic of looking like a smart math person without doing effort
I have some spiritual/occult practices, but nothing really resembling organized religion.
Lmaooo okok
A bit of tarot, some goetia
If someone asked you "what is math" how would you answer
Would you say math is a religion/belief system?
Baby don't hurt me, don't hurt me, no more
Lmaooooooo
Are you familiar with SoME
I'm considering making a video quite literally about what math is
I am. I was originally thinking I'd do something this summer on amenable groups (possibly via banach-tarski), but I might put it off until next year
And I think this is the most beginner friendly topic in existence
I believe that many kids hate math due to certain misconceptions of what math is and how one deals with it
That's definitely true
Okay, so my serious answer here is sort of two or three different answers, standing on eachother's shoulders, in a trench coat.
Not even kids, so many people get into maths studies because they liked calculating integrals, and they hate It now
Lmaoooooo
What I tell my students is that while I may be teaching them about sines and cosines, that's really just artifice. What I most want them to take away from it is the problem-solving skills that they learn by solving trig problems, of starting with an intractible problem and figuring out how to break it down into smaller, more managable steps.
It's being done via trigenometry, but the soft skill is more important. Like how athletes run laps and lift weights even though they play some team sport that's neither of those.
As far as "real math", like what you and I do, is concerned - I would give two different answers. One is that it's sort of a mixture of solving a puzzle and creating a work of art at once, at least vibes-wise. Like, solving a sudoku is a good example of the puzzle-solving aspect; but now imagine that you have a sudoku where your standard strategies don't work, so you invent a new one.
Another answer is that it's something of a social activity. Math is the thing that I talk about with my advisor once or twice a week, it's the thing in the seminars I attend, in the books and papers I read and write. Which is to say, math is the activity itself, in a social context; i.e. math is the process of writing a proof, not the completed proof itself.
Mmm that's a rather abstract take
What do you think of something like this
To me, math is a philosophy, a belief system, to some extent even a religion. It's the oldest story in human history, developed by millions of people over thousands of years. Math shares many similarities to religion, both are grounded in statements without proofs (axioms), both derive everything that follows from these statements, and both can be used in decision making. Unlike religion, the statements chosen for math are not arbitrary, but chosen because they lead to predictable outcomes. At the end of the day, math does not exist in the real world, it's just a story that we tell ourselves, like an art of sorts. It just so happens that this story is useful in decision making and the survival of our species
You appear to be talking about the artistic aspects of math, which is fine, but what do you think of the philosophy of math
I think this would be helpful in convincing kids why math is important and why they should learn math and also hopefully change their perspective on math, to view it as a humanities subject rather than a science subject
If you're going with this route, I would recommend reading up on some religious studies texts.
Ah yea good point, as an atheist I don't really know too much about religion
I've taken three religious studies courses in UG (I considered minoring in it my first year) and they always spent like half the time talking about, "how do you define religion?"
Ooo how interesting
Give me a sec to look for some of my old textbooks. The only courses I really remember were the ones on Asian religion and on religious extremism because the third one was during that fucking awful covid semester that turned online halfway through.
Ok
Okay, so if I'm remembering right from like 7 years ago, Nongbri Before Religion and Josephson The Invention of Religion in Japan both talked extensively about what religion even is.
Maybe Bellah's American Civil Religion did too? I can't remember it super well. It might still be useful to cite if you want an academic context supporting a wider perspective on what can count as a religion, though.
I just counted the years and oh holy fuck, I'm old.
Please wait one day so we can get the holy mass ping from the bot again.
There are 25 people in this thread. :D
I wonder what the +close will look like...
hey
I just opened my phone
for u to be typing
and last message was 3 hours ago
how co incidental!
💀
You've got timed out 💀
I don't think so 🤨
but anyways
ok bye
I'm gonna go to sleep
it's been 13 days
I've come not so far.
🥺😞😔😟😕🙁☹️😣😖
that kind of thing takes years, not weeks lol
hey guys
I wanna make a bet
if I don't learn something major today (i.e within the next 24 hours)
I quit this all and focus on my holidays
who are you betting against
no??? enjoy ur holidays or dont, none of my business
Nobody will take this bet.
It's also not a bet.
It's you saying that you'll do something, and if you don't, then you'll do something else.
At this point, I would actually encourage you to quit this and focus on your holidays. It's evident that you don't actually like doing math nor care to learn it; you should spend your free time having fun and doing something that you enjoy.
hey
I have news for y'all
I won the bet
someone's teaching me calculus and graphs
well
hmm
#1368725559605198899 message
usparat has been timed out for 5m 

Reason: Posting Discord Server Invites
i think its automatic
I know
hmm
dis cord.gg/ math
everyone, u can see my thread there
#1368725559605198899 message
some person just thought me basic calculus and stuff which I didn't learn in 14 days of being here
you say that as if its our fault 💀
if you wanted to learn calculus you couldve asked
most people here will just tell you to read a book though
EXACTLY
that guy took the pain of 3 hours
and to teach me the concept
such a heavenly heavenly person
yeah he must have a lot of free time and patience lmao
but also i feel like you shouldnt rely on that, its sort of rude to expect it
if that makes sense
he's also apparently like me (not to do self boasting, but ykwim 😎) he self studied in high school
I know lol
I'm relying on 3-6 hour yt vids on concepts now
and probably would come here to ask some doubts
but never entirely huge concepts
thats good
BRO i gave you the videos to learn calculus from one of the best professors
and you just ego'd me what are you talking about
no no
yes yes
usap only listens to this one guy i guess
This guy must be Euler himself
i think it was very non mathematical and more of a philosophical crank kind of thing
he ignores everyone phd's master's bachelor's. So this person must be the godfather of math no other explanation
hey what if I listen to your sentence, meaning I'd listen to you. but that means, I won't only listen to that guy. so that means you DEFINITELY have to be false. there is no logical way for you to be true!
well i guess i cant call u a philosophy crank since i dont know philosophy, but i didnt agree with it either way
okay but
alright yea..
but
the plus sign was of maths
anyways
ima go focus!
thank youu

sure go have fun
that seems
like a threat and a normal sentence at the same time
idk why
probably just because it's 5 am for me rn
But anyways
ty again
Did you do the exercises on irrational numbers
hey uhmmm
my maths book
uhm
it
was unavailable
for
I didn't buy it
for
I only went to school for 3 days and summer holidays came
so-
BUT
good news
I now know about functions and equations on functions and slopes
and about linear equations in 2 variables
how improvement right?!
Have you done practice questions on any of these topics
yes
yes
uh
2x + yada yada yada = ya.
4x + ya ajdbaks. = ya ya
first equation is the first liney
second is the second ||
so
agh I'm so sleepy
Nah, respectfully fuck you
I'm not contributing to mental rot
^
Do a worksheet on whatever topic you’ve learnt with practice questions
okay.
I explained my point on this yesterday, you should know
but
you've contributed to it
by contributing to me
u talked to me and made me explain that you won't contribute
by that
you're logically defied
Have you even made checkpoints for yourself?
Like, specific topic you want to know at specific dates.
Say, by Saturday, learn the contents of basic Algebra.
Then by next week learn Trigonometry, etc.
...
🤨
and day after the revision
and then geometry and then
after a week or two
calculus
Alright.
integration
Fine, if you can show me a definitive list of your goals then I'll help out. Deal?
Cause I have a few practice problems I can cook up for checkups.
oh OKAY! DEAL
Alright. At least get a feeling of being organized, because then you'll at least understand what you've done and where your limitations are.
alright
And even if you don't finish, you'll at least be confident in what you've done.
so
25 days
no 24 days
hmm
what really is there
trigonometry
Geometry
algebra
but
I can't generalize them and learn em in
one shot
hmm so
alright
10th grade trigonometry algebra geometry today
10th grade probability, statistics, others tomorrow
10th grade whatever I couldn't complete day after tomorrow
and 10th grade revision recap day after after day tomorrow
and thats it
10th grade over
I don't even wanna touch 9th grade
it's too simple
so let's move on
to 11th grade
where calculus begins
okay
10th is sorted
so 11th grade
now what does it really teach
Sets
Relations functions
Trignometric functions
Shit I'm cooked
Principles of math induction
Complex numbers
Linear inequality
Permutations and combinations
shit
I'm cooked
I won't be able to do this
Binomial theorem
Sequence and series
Straight lines
Conic section
Introduction to 3 dimensional geometry
Limits and derivatives
Mathematical reasoning
Probability
Statistics
AHHH GOD DANG IT
I'M NOT GONNA BE ABLE TO DO THIS
AAAAAAA
AAAAAAAAAAAAGH
AAAAAAAAAAAAAGHHHHHHHHH
khan academy
AAAAAAAGH
u do realize
no matter how big of a teacher
i wont be able to learn all that
in one MONTH
khan academy covers all of these topics
less than one month
obviously not one month
in how much time
only a dumbass would believe they can compact 3 years into 29 days or less
that depends on you
start now and the time will be less
keep procrastinating and itll never happen
yea but guess what? I'm NOT A DUMBASS and I wanna compact 4 years into 24 days instead
the way you are acting it seems that way
just study you talking about wanting to study isnt actually studying
bro just open khan academy and start
it has all the topics you want and in good order
How many worksheets or problem sets have you done so far
put 14 hours a day for 24 days and maybe you will
khan academy is quite literally the only way unless you pay a tutor for 12 hours of work per day for 24 days
in the past what three weeks you have done zero worksheets?😭
and I'm midway learning through
Anything you think you’ve understood/know means absolutely nothing until you solve your first problem
slope formula
And how to calculate the area
Of a ireobrfolal shape in a graph
irregular*
Cool, have you done any problems
No
Do them first
let me learn it doh
For the past few hours
I've been switching
to this account and that
talking to him and y'all
soo soo annoying
it's 6:18 am for me
I've been doing this since
somethin
Go to bed
nobody's forcing you to talk here kid

I'm more active on night
in the morning, it feels like the sun is attacking me
in night it's soo peaceful
my brain works so well
besides what am i even saying you're not doing any stuff at all😭it's been so much time and you've done nothing for practice
that's why I'm talking so much
practice probleme
aren't
like
seriously
I need the
Concepts first
would it not be beneficial to study and not talk here...
you mean to say you havent grasped a single concept in the three weeks you've spent here?
I'll aslos study on yt videos soon
yes, but I've grasped many concepts in just a few hours from yesterday over there
well have fun with him he seems kind a kind and patient guy 🐄
khan academy will give you the concepts and the practice problems
Over that discord server and YouTube videos
idk why you are religiously avoiding it if you want to improve
you seem like the
fr
mrbeast honey ad
do practice problems on topics you think you've learned
but
and if you cant do them it means u havent learned them
How many problems sets have you done applying them
You haven’t learnt the concepts if you can’t solve the problems
U gotta wait until that other guy suggests khan, then he will do it
....
ahhh i see now
i've come to understand the concepts of the universe thank you for your wisdom sister amy
Khan academy is great btw it’s pretty much exactly what you’re looking for too
Very intuitive videos, comes with problem sets to practice what you’ve learnt etc
No worries cat boy
Start at the 9th grade, if you find it easy it won’t take long
Do the problem sets - again, understanding concepts mean nothing if you haven’t/can’t solve the problems
After all, the entire point of maths is using concepts to solve problems
see
it takes long
but is
Not if you find it easy
it's not easy
but it takes long
no I mean
it's easy
no I mean
You can’t learn the 10th grade up if you don’t know the 9th grade stuff
No I can
or maybe I can't
but
but
You can’t
you will have gaps in knowledge that will make it annoying to learn later on
Impossible
There’s no way you’ll learn anything about complex numbers if you know nothing about functions or graphs
I learnt a bit of a calculus
It’s a strict prerequisite
that comes in 11th grade
exactly
Have you solved any calculus problems
I am able to learn on fucntions and graphs
@timid flume
.
Let’s see it
okay
And even more importantly, that make it annoying for your poor grad student TAs like me to grade.
alright?
you got two points
of a function
first being 2,1
2 of x axis
1 of y axis
second point being
4,2
so
how do you calculate the rate of change?
it's by putting the y terms over x terms
to put it more
Grammatically
what I mean is
take the y and x terms out
Here is a set of practice problems to accompany the Differentiation Formulas section of the Derivatives chapter of the notes for Paul Dawkins Calculus I course at Lamar University.
try these
1,2
pretty basic calculus
try what he sent they are perfect probelms so see where you are at in calculus
The kid's not ready for calculus yet.
or f(b) - f(a)
b-a
that way
He should learn pre-calculus mathematics first.
we'd get the
this isn't calculus
this is an important prerequisite to calculus
Please don't split up your sentences over multiple messages like this. It's annoying and obnoxious.
you've got a bad habit of yammering to yourself whenever ppl are tryna say something
look
point proven
you haven't learnt anything from the 11th grade
start from the 9th
this is completely unrelated but im going crazy thinking abt it whys ur name tomato and your pfp a pear
khan academy
good videos, intuitive explainations, problem sets to test yourself
go through a couple of those
(And/or Lang's Basic Mathematics, a book that I will continue to shill for)
don't move onto the next topic until you can ace the previous one's problem sheets
Oh. So until yesterday my username was "Pear Category Theorem".
books can work too, depending on what you prefer
is that an actual theorem
but from what you've said it seems khan academy is much more up your alley
I haven't updated the picture because I don't know how long this username will last.
get some sleep first, a 14yr old should not be up at 6
All of my usernames are fruit-based math puns.
My old name was a pun on the famous Baire Category Theorem. This name is a pun on Tomita-Takesaki theory.
what pear said
Imma be honest, I'm only here cuz I find you really funny
🦁that's... actually a good joke
i wouldn't go as far as to say you don't like math, but you're approaching it completely wrong
do one for taniyama shimura weil conjecture
you need to build from the bottom up, there's no easy path to skipping to the end
maybe we're witnessing the birth of the best mathematician oat or something who knows
All my jokes are good jokes. Zorn's Lemon, the Banana Contraction Principle, the Canteloupe Diagonal Argument, the Central Lime Theorem, the Riesz Rambutan Theorem, etc.
even the 12 year old geniuses had to learn their times table at some point
unlikely
the best mathematician would not be here talking about how infinity might be a number
they'd be doing actual math
even at this age
I think Terence Tao was winning gold medals in IMO at this point in his life?
Tao coauthored a paper with Erdos by the time he was 14.
aha see
good thing, I'm not 14 yet 😎
i was still eating dirt at 14
Or something absurd like this. But also, you don't need to be a child genius to become a good mathematician; it's just more of an uphill battle to get into mathematical spaces the older you get. I was a fucking dumbass when I was 14; eleven years later and I'm still a fucking dumbass, but I'm a fucking dumbass who's somehow also a PhD student.
ofc you don't need to be a genius to get a PhD in math
@timid flume kid if it brings u comfort ur a lot better than i was at ur age 🐱 i think you should take the advice the ppl here are giving if you're serious about this coz theyre not all idiots
but you need to be a genius to be the greatest mathematician of the time
I don't think this is actually all that obvious to a lot of people, which is why I point it out. Lots of people just assume "good at math = genius, always was and always will be"
really? lmaoooooooooooo
I thought that it was pretty obvious that a PhD is not about being genius but more about committing to the grind
yeah this is so true😭 as a child if you struggle at maths anyone who's good at it you just develop an image of them as a really smart individual
mmmm how interesting
and all these people tell you "it's easy if you get it" "it's not actually that hard" right?
everyone has a threshold for what is considered hard, just that your friend who's good at math has a higher threshold than you
My rule of thumb is that if you don't find math hard, you're just not doing hard enough math.
(I know cuz I'm the one telling everyone that)
yes
Everyone has some problem they think is too hard. (And if you think you don't, then tell me, and I'll change your mind fast by spamming you with open problems in dynamics, dst, c* algebras, group theory, etc.).
wait- no
Do you want me to give you a problem @sweet smelt I saw what you deleted
nono now that I think about it
I've seen plenty
Prove p = np
lmaooo
Sure, we can go for the standards.
I was gonna say I have not seen a problem whose statement I can understand, but not solve
but then I remembered the IMO questions
which have really simple statements
They get kinda nasty yeah
but uhhhh good luck solving them yea
like this for example, I don't even know how you define P or NP
wdym by "computable"
Show that for all integers $n>2$, the diophantine equation $$a^{n}+b^{n}=c^{n}$$ has no solutions $(a,b,c)\in(\mathbb{Z}^{+})^{3}$, if you want the classic.
Tomato-Takesaki Theory
Yeah.
Longer, actually.
Wiles only proved modularity; not the fact that modularity implies FLT.
ahhhh right
and then someone else had to prove that the form was equivalent to an elliptic curve
Sure, what is it
in derivatives
go ahead
What do you mean what formula? You should have given the lhs and asked what it’s equal to.
what about it
Binomial theorem? That’s $(a + b)^n = \sum_{k=0}^{n} \binom{n}{k} a^{n-k} b^k$
Ag3nt
its just the definition of a derivative using a limit you'll see it the first chapter in calculus and then quickly leave it behind as it takes to much work
hey
that guy
explained it to me
almost as simply as I can understand
but as hard as I can understand

Look, I don’t want to be condescending, and it’s not an easy topic that everyone understands immediately
Think of it kind of like finding the slope of a graph at one point
But you’ll have a much better time if you had a good grasp of functions and graphs first
You’ve stated earlier that you understand the gradient of a straight line is $m=\frac{y_2-y_1}{x_2-x_1}$
┬┴┬┴┤(・_├┬┴┬┴
That’s just the formula for differentiation from first principles
No, it’s doing it for a really small value of x2 - x1
between x2-x1 approaches 0
$\Delta$ is the conventional symbol for “difference”
┬┴┬┴┤(・_├┬┴┬┴
Correct
ohhh that's what I HAD THE DOUBT
how do u practically do infinite capculatipns
u just need to be precise enough
You don’t
No, u find the value that the whole thing approaches as x2-x1 approaches 0
Even though the limit approaches 0, there is still a defined answer
ah I see yea
Have you studied the binomial theorem yet
Idts
can u show it to me
@timid flume
$(1+x)^n = ?$
┬┴┬┴┤(・_├┬┴┬┴
$(a + b)^n = \sum_{k=0}^{n} \binom{n}{k} a^{n-k} b^k$
Ag3nt
no the main thing I'm lacking there is matrices, it seems easy because it's just a collumn matrice or its not a matrice at all but I'm lacking enough knowledge of that
I might still be able to learn it right now
That isn’t a matrix
No, it’s just combinatorics
Have you studied combinations and permutations
Not a matrix
Like, are you starting to see how jumping to the 11th grade stuff might be problematic if you don’t have a good understanding of what comes before
$\binom{n}{k} = \frac{n!}{k!(n - k)!}$
Ag3nt
@timid flume
Since the next big question in differentiation would be something like
Do you know what factorials are?
Differentiate from first principles: $f(x) = x^n$
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But the solution to that problem requires knowledge of the formula for the binomial theorem
Which in turn requires knowledge about combinations and permutations
Which requires knowledge of factorials
And the same is true for a lot of stuff
And it would be so much easier and faster if you just started from the basic stuff and worked upwards
but
combinations and permutations
come in 11th grade-
also
Yes, and there’s a reason why calculus is taught simultaneously/later
I’d be very surprised if they taught calculus before combinatorics
I learned a lot today and I learned that I have a lot more to learn. I'm pretty sure this subject is for me, I love how complex it is. For the past 4 continous hours I've been thinking just on this topic. ty all
I am gonna go sleep
it's almost 7:30 am for me
I’m glad you’re motivated, you need rest
But start from the basic stuff first
yea I will
Khan academy
not just gonna jump into 11th rn
Good luck with it kid
Can you be normal for once on your time in this server Jesus Christ
I can tell ur Indian because of the book
Who
not in this server
Sad times, dm me the server invite pls
Why
I can tell you can tell because you told.
hello guys
I just woke up
You're not gonna just go over there and bully the kid are you
Absolutely not
Then it's the summer of math exposition discord
I learned a lot on slopes and limits and derivatives and calculating equations on graph yesterday
The kid wanted to invent imaginary numbers, but for positive square roots
Genuinely have no idea why he'd do that but yk
OMG AL