#serious-discussion

1 messages · Page 330 of 1

bright hill
#

you dont have to read all of it

unkempt moat
#

🙂‍↕️

placid shadow
bright hill
#

I don't think I've ever read a math book in its entirety opencry

placid shadow
#

i've read lots of wikipedia articles on topics i like to get a general conception of something

#

i think it's totally possible to get away with only reading the main stuff or things you care about

bright hill
#

that's not only possible, it's infeasible to do otherwise lol

#

you can't read anything and everything abot everything

placid shadow
#

Right

#

especially not if you wanna do other things too such as chores

#

this seems simple enough! this is the first chapter in his book

image.png
#

In my mind it'd be 20x harder

bright hill
#

just be patient and make sure to stay consistent and before you know it you would've learnt all about this stuff

#

good luck on your journey!

placid shadow
#

Thank you so much!

#

Can I send you a friend request?

bright hill
placid shadow
#

Yayy

gritty heath
placid shadow
magic python
#

Oooo sets :3

#

How far are you @placid shadow?

placid shadow
placid shadow
magic python
#

Do you understand the notation to create a set?

#

YOOO NICE

placid shadow
#

i learned some of that in openstax in the first page of calculus 1

magic python
#

Wait do you use N for Z+ (positive integers) or for Z+ union 0

placid shadow
magic python
#

I need an actual person's opinion

#

Damn

#

My teacher says "nobody uses N to include 0" when yes the hell they do what is he on about

placid shadow
#

i love the cat in your profile picture, it's so cute!!!

hot lion
#

it depends a lot on the field I think but most people use N to start at 1

#

at least in the fields I'm interested in

magic python
#

He's a little autistic I think.

prime harness
#

👋 hey

placid shadow
placid shadow
magic python
#

He let's you do anything to him

prime harness
#

Good

placid shadow
prime harness
#

Can I get some advice for UG Mathematics

hot lion
#

on what part of UG math

magic python
placid shadow
prime harness
#

For a CS student

hot lion
placid shadow
magic python
#

Yeah, I hate when people say absolute statements in math though

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People just use notation differently

placid shadow
placid shadow
junior veldt
#

I prefer the naturals to include 0 but either works

placid shadow
magic python
#

I understand it's to simplify it for kids, but like saying it NEVER is like that is just a lie

unkempt moat
magic python
#

I include 0 bc I use Z+ for nonzero

junior veldt
#

Given how much longer it took to invent 0, it’s reasonable to say 0 isn’t as “natural” as all the other counting numbers

placid shadow
unkempt moat
placid shadow
hot lion
#

tbh its just annoying to have to say "for all n\in\mathbb{N} with n\geq 1" a million times

magic python
junior veldt
placid shadow
hot lion
#

u can use Z+ or something but even that's a bit sketchy notation because + notation means \geq 0

junior veldt
#

My point was more that it’s not as easy to come up with 0 yourself

placid shadow
#

that makes sense

magic python
#

Anyways, how is discussy v2 doing today all of yall

placid shadow
placid shadow
magic python
placid shadow
#

Am i weird to be euphoric about learning math

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it makes me giddy

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since i was in preschool

magic python
#

Idk if that's euphoria bc like you are doing something that makes you happy

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And euphoria is inexplicable happiness

placid shadow
#

Oooo

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as in it's way more than normal happiness?

magic python
#

Typically and it's also unfulfilling in a sense

bright hill
#

sometiems opencry

magic python
#

Depends on the person

placid shadow
#

i see

#

ty

bright hill
#

euphoria isn't that tho

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it's a state of elation

magic python
#

Explicable with science yeah

placid shadow
magic python
#

Wait isn't it just elevated happiness with seemingly no reason? Or can it have an obvious reason

placid shadow
#

do you guys like logic in everyday use? outside of math

magic python
#

I don't tend to use logic outside of math but I am quite young

placid shadow
#

that's the type i mean specifically

magic python
placid shadow
#

i'd describe it as the process of reasoning

placid shadow
magic python
#

I wouldn't say they use that type of logic, more reasoning, but I'm not one so idk

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I'm probably younger than you so take what I say with a grain of salt

placid shadow
placid shadow
magic python
magic python
placid shadow
#

Tyyyyy

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it's really thrilling

magic python
#

I uh am just barely able to be on this site...

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Lmao

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Almost able to drink tho, give it a year and a half

placid shadow
placid shadow
#

actually i dont think i can drink before 21

magic python
#

Oooo

placid shadow
#

legally

magic python
#

Oh i thought other places allowed you to get at 16 with the private property thingy

placid shadow
placid shadow
magic python
#

I know atleast canada allows in my province/city

placid shadow
magic python
#

Yeah :3

placid shadow
true zinc
placid shadow
magic python
#

Oooo Virginia does it too? Nice!

true zinc
#

But you need to be 21 to go to a bar or whateverbor to purchase your own alcohol

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Also adults purchasing alcohol explicitly for consumption by minors is illegal

magic python
#

How's your math journey been going

placid shadow
# magic python Yeah :3

Mhm idk why but when i was 13 because of the pandemic i got pretty lonely so i wanted to debate with others since then just to talk with them intellectually but also see who gives better arguments

true zinc
#

And ofc children can't purchasw alcohol at all

magic python
true zinc
placid shadow
magic python
true zinc
#

Haven't done any new maths at all this year, life is a struggle and all

magic python
#

Fair enough

placid shadow
placid shadow
magic python
placid shadow
#

that's totally fair

magic python
#

I wonder if there would be any way to get diagnosed with stuff without my parents knowing

placid shadow
#

i envy the day that i get to sit down and think about geometric shapes and their properties and transformations

placid shadow
magic python
#

Ooo nice

placid shadow
magic python
magic python
#

Wait do you want me to use girl or girls

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I don't want to offend you

placid shadow
#

i love my youth

placid shadow
placid shadow
magic python
#

Np! I remember hearing you talk about that tho :3

placid shadow
placid shadow
magic python
#

Ye :3

placid shadow
#

Ooooo

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Have you learned logs in math yet

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I've been introduced to Eulers number in my algebra class

magic python
#

Enough to understand, not enough to explain tho I don't think without using inverse or opposite

placid shadow
magic python
#

Wait what was the wikipedia for the plurality terms again

placid shadow
#

i used to look at it in a calculator as a kid and press random buttons to see what they did, did you do that too by chance

magic python
placid shadow
placid shadow
magic python
#

Aww I guess I'll try to avoid using terms so I don't say the wrong thing

placid shadow
#

oh do you mean this

magic python
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No it was a wikipedia but like not

placid shadow
vale geyser
#

hai :3

magic python
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I think it was something like pluralpedia but I can't remember

placid shadow
magic python
#

Oooo thanks :3

vale geyser
#

i'm trying to start talking here again

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but i'm socially awkward to say the least

placid shadow
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im really awkward irl, even with my family

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it brings me a ton of anxiety to talk with them, nonetheless strangers

magic python
#

This place is chill :3

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I wouldn't say I'm awkward, more scared, that's why I don't talk to people irl much

vale geyser
#

i'm kinda both

magic python
#

But online it doesn't matter

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Because nothing can happen to me

vale geyser
#

i'm fragile :3

unborn meteor
#

hi

vale geyser
#

hi speedy

magic python
#

Same girl >~<

#

Omg all girls :3

vale geyser
#

girls B)

magic python
#

HSF INFECTED YOU AS WELL

vale geyser
#

:3

magic python
#

Girls are girlcool tho

vale geyser
#

girltrue,,,,

placid shadow
magic python
#

Chatgpt is the best way to learn knowledge without it being easy for others to know you searched right

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Bnuuy!

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!bnuuy

quasi jettyBOT
vale geyser
#

i love bnuuys

placid shadow
#

Yayyyy

magic python
#

True

vale geyser
#

there's a few that ended up living in my yard and i see them around some days

magic python
#

Ooooo 👀

vale geyser
#

they're very cute

magic python
#

Lil stomp when they angy

vale geyser
#

it's like me fully failing to be intimidating like ever

magic python
#

Lmao

#

Remember people, we are all valid, cis or trans, gay/lesbian or straight, happy or sad

placid shadow
#

Do you enjoy math Skye? 🫶

vale geyser
#

i'm studying complex analysis right now

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it's very beautiful

magic python
#

I'd bet

placid shadow
placid shadow
placid shadow
vale geyser
#

i'm starting to learn how to integrate complex functions along curves

placid shadow
magic python
#

Wait what's $\int \frac{1}{z} dz$ For complex values? The normal one doesn't work 3:

fathom swallowBOT
#

Definitely human

1331405779722305599.png
vale geyser
#

i'm not sure

magic python
#

Awww

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My poor abs getting slander just because of this function

vale geyser
#

i think it depends on the path?

magic python
#

Bad enough I need to say C is a local function

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Oh yeahhhh I heard about paths for complex integration

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They add different stuff

vale geyser
#

not an expert by any means obviously

placid shadow
agile fiber
#

the antiderivative of 1/z is just ln(z)+C, but you run into branch cut issues

vale geyser
magic python
#

Oooo

placid shadow
placid shadow
vale geyser
placid shadow
#

Ooohhh nice

vale geyser
#

i think i once had the idea to code the mandelbrot set in C++ but i was biting off a little more than i could chew at the time

#

like i wanted to use a graphics library to visualize it

placid shadow
vale geyser
#

i bet i could do it now

placid shadow
placid shadow
vale geyser
#

i think it would be

placid shadow
#

What is your favorite area in math?

vale geyser
#

probably calculus and analysis

#

very useful in physics but i like getting into the theory

placid shadow
#

cool!!!!

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Yeah

vale geyser
#

the proofs in that area of math are very elegant to me

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maybe someone will say i'm crazy

placid shadow
vale geyser
#

people have different opinions

placid shadow
vale geyser
#

yeah there's a good calculus book that's got a focus on proofs

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spivak's calculus

placid shadow
#

I've heard of that one! ty

#

ill check it out

magic python
#

Warning, many people say spivak is more real analysis bc it's proof heavy

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So it may be harder than a regular one

placid shadow
#

i think i'll look at it after some less complex books then, ty!

vale geyser
#

ofc

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yeah that's what i did

#

started with the basics before getting into proofs

placid shadow
magic python
#

I've heard some go straight to analysis though so you can do whatever

vale geyser
placid shadow
#

ooh

vale geyser
magic python
#

I forgot I probably shouldn't use the shortening bc people may not know the terms 😭

vale geyser
#

trust me i was losing it at "real anal" too

placid shadow
magic python
#

I KNOW

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I can't say real anal in discussy because some peeps would think it's nsfw 🥀

placid shadow
placid shadow
#

analysis isn't too much longer of a word

magic python
vale geyser
#

chat i choked on my water a little bit

magic python
#

In person it's fine bc it's pronounced different atleast

placid shadow
placid shadow
vale geyser
#

i'm fine

#

thanks for asking

placid shadow
#

Yw

magic python
placid shadow
#

i read real analysis but shortened yesterday in math chat and i was so confused, i didn't make the connection that it was just shortened for analysis

#

i thought it was like a theorem or something

magic python
#

I just realized the crying emoji might seem rude bc it has a different connotation

placid shadow
magic python
#

3:

vale geyser
placid shadow
magic python
#

I just know i use some things VERY differently than others

placid shadow
magic python
#

Like I think I've heard people say the red heart is like creepy or only reserved for some people but I use it more like a support thingy or like "love this"

placid shadow
magic python
#

Some people use grey for that tho

placid shadow
vale geyser
#

i usually use the blue heart just to be safe

placid shadow
placid shadow
vale geyser
#

some people interpret it as more platonic

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than the red heart

magic python
#

At what age do most relationships last, I feel like there is an area where they last very short

placid shadow
#

i use a pink heart all the time because pink's my fav color

vale geyser
magic python
#

Pinks so nice

placid shadow
placid shadow
vale geyser
#

i'm single :3

placid shadow
magic python
#

I was apparently in a relationship at 7

#

Idfk

placid shadow
vale geyser
placid shadow
#

omg i remember you said something about that in #discussion

#

a while back

magic python
#

I guess I forgot 🤷‍♀️

placid shadow
#

and u didn't know that it was one

magic python
#

That's so far back bc I can't even click

placid shadow
#

Yea exactly

#

is it weird that i have memories as a 3 year old

magic python
placid shadow
#

Clear as day

placid shadow
vale geyser
magic python
#

I remember breaking my collarbone at 3-4 3:

placid shadow
placid shadow
vale geyser
#

they're mostly boring though

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i don't have too many interesting memories from 3 years old

magic python
#

It's gotten fuzzy over the past few months...

placid shadow
magic python
#

Same as all my memories

#

WAIT IS THIS ALL HORMONES

placid shadow
# magic python Same as all my memories

i think like in the past couple years i feel like i've gotten alzheimers even though i'm young but i've been reverting it by playing chess and thinking critically

#

Every single day i try to think super critically, because i'm terrified to lose my memories

magic python
#

I've been thinking I'm mentally ill and had a new mental illness for these past 2 months but it might just be my hormones

placid shadow
#

Not the only one of course

magic python
#

(Mentally ill as in sick, like horrible person)

#

Everything changed like 2-3 months ago I can't even remember how long ago it was I know it was before school started

placid shadow
#

Well you're still young

magic python
#

True

placid shadow
#

and developing

#

actually i dont think the human body ever stops developing

magic python
#

Unfortunately I am young as well tho 3:

placid shadow
magic python
#

I wish the medical system quit infantalizing minors I will do to my body whatever I fucking want

#

But no I need to be 18 3:

placid shadow
magic python
#

Yeah but unfortunately it also hurts me because I have to spend 3 years basically in hell before I can feel comfortable in my body for once, and then another half a year or so to recover

placid shadow
#

i have some memories of being born and being a few months old, but idk if they're fake or not

vale geyser
surreal sapphire
#

i have a memory of riding my cat as a toddler

placid shadow
placid shadow
magic python
placid shadow
#

i used to play with hammers as a toddler

vale geyser
#

my cats treated me like their adopted baby when i was a toddler

magic python
#

Pica 🥀

#

I used to have pica as a youngin

placid shadow
magic python
#

Dust bunny? Yum. Rock? Yum.

vale geyser
#

am i the only one that didn't try to do scary things as a toddler

chilly hull
#

why the FUCK IS THIS NOT PLOTTING

Screenshot_2025-12-07_at_8.45.17_PM.png
placid shadow
true zinc
#

I have some really fucked up memories

#

actually

placid shadow
true zinc
#

a lot of fucked up memories

magic python
#

3:

placid shadow
vale geyser
#

now there's a cat at my grandma's house that i play with when i'm there

placid shadow
#

hii willow

true zinc
#

Okay that's enough internet for you James -Willow

true zinc
vale geyser
true zinc
#

Before we end up trauma cycling ourselves.

#

again

placid shadow
magic python
#

I feel like I need to go soon

vale geyser
placid shadow
vale geyser
#

he has a masters degree now

magic python
placid shadow
magic python
#

Just starting to feel like I can't even type

#

WHY

#

Why do children do that

placid shadow
placid shadow
#

curiosity killed the cat

magic python
#

Fair enough

placid shadow
#

Hehe

vale geyser
#

if only there was ground fault protection everywhere

placid shadow
placid shadow
#

the 2 eyes and a mouth

#

outlet

vale geyser
#

so you gouged its eyes out

placid shadow
#

i didnt think of it like that

magic python
#

Imma go in like 5 minutes... getting hard to actually think rn and it feels so silent which is not normal for me

vale geyser
#

my brother still has the melted tweezers he shoved in the outlet

placid shadow
#

i have trouble thinking if i dont eat

#

regaining Energy lets me think

magic python
#

This chat so much better than regular discussy tho so I'll stay till I must go

vale geyser
#

i'm liking the atmosphere of this chat

placid shadow
#

same

vale geyser
#

definitely more civil than discussy 1

magic python
#

I think I need to start taking afternoon adhd meds but then it will be so silent

placid shadow
#

other chats have like ai brainrot gifs

placid shadow
magic python
#

WAIT WERE THE PEOPLE IN MY HEAD SIDE EFFECTS

placid shadow
magic python
#

It hasn't happened since I had to go off them again

placid shadow
magic python
#

I need to get back on them then

placid shadow
#

i hope you enjoy it!

magic python
#

It may have been not so nice imagery but it grounded me :3

placid shadow
placid shadow
magic python
#

Yep but the meds tend to not last even on the long lasting

vale geyser
placid shadow
magic python
#

... why are messages appearing when I didn't see them before...

vale geyser
#

if i have ADHD it's at most mild

placid shadow
vale geyser
placid shadow
magic python
#

DONT TOUCH MICROWAVE

placid shadow
magic python
#

IT WILL KILL WITH TRANSFORMER

vale geyser
#

never become part of a high voltage circuit

placid shadow
magic python
#

The microwaves are non ionizing

#

So they basically just heat

placid shadow
magic python
#

Idk I can't fact check rn

#

Imma go discussy 2, the bed needs me

#

It calls.

placid shadow
#

Goodnight

vale geyser
magic python
#

You guys too :3

placid shadow
vale geyser
placid shadow
#

Yayyyy

#

!bnuuy

quasi jettyBOT
vale geyser
#

bnuuys!

#

:3

placid shadow
#

w<

#

do you have any recommendations for analysis

#

like tips on what to do when im doing analysis that you think are good?

vale geyser
#

and then at the end reconstruct your steps sequentially

placid shadow
vale geyser
#

ooh this is exactly the kind of thing i'm interested in

placid shadow
placid shadow
vale geyser
#

yw

vale geyser
placid shadow
vale geyser
#

he's a mechanical engineer

placid shadow
vale geyser
#

i'm sure

placid shadow
#

my brother got recommended this video coincidentally before i saw it, he also loved it

vale geyser
placid shadow
vale geyser
#

yeah

placid shadow
vale geyser
#

but i would like to learn more

placid shadow
#

Ooo i'm learning HS geometry rn!

placid shadow
#

have you heard of topology

vale geyser
#

yeah

#

maybe i'll learn some topology soon

placid shadow
#

Same i wanna learn that

placid shadow
vale geyser
#

there's a lot of things i want to learn i just wish i had infinite time to do it

placid shadow
unborn meteor
#

woahh chat's cooking

placid shadow
#

but someone in this chat earlier told me that i dont have to read everything but i can read like some of the stuff

placid shadow
vale geyser
#

like i also want to learn theory of computation and stuff like number theory and graph theory

placid shadow
vale geyser
#

but i'm very caught up with complex analysis currently

placid shadow
#

i really enjoy math, all of it!

#

Thats ok!

#

some people even get into math again when they're really old like 70 years old, from some comments on calculus playlists i've seen on youtube

vale geyser
#

my dad's in his 50s and i sometimes talk to him about set theory and stuff

placid shadow
#

if they're not lying

placid shadow
vale geyser
#

he did a computer science degree so he's got a little background

latent edge
placid shadow
placid shadow
#

He used to excel in math in school and college, he did calculus

vale geyser
placid shadow
placid shadow
vale geyser
#

neat

latent edge
placid shadow
#

Yesss, math can always be learned!

placid shadow
vale geyser
latent edge
placid shadow
latent edge
#

how's mathing

placid shadow
latent edge
#

it's good so far

placid shadow
placid shadow
#

im learning geometry and proofs

vale geyser
placid shadow
vale geyser
#

i kinda wanted to be doing the things my brother was since sometimes i'd watch him do his homework

#

i was a kid could you blame me

#

i was just curious

placid shadow
#

i used to look at MVC in Khan Academy as an 8 year old and wished i could understand the wikipedia pages but i never did :((( (yet)

placid shadow
placid shadow
vale geyser
#

he was fine with it

placid shadow
near mango
#

When I was 8 I played video games and exclusively ate chicken nuggets

vale geyser
#

yeah my brother taught me the power rule for derivatives when i was like 9

latent edge
placid shadow
placid shadow
placid shadow
placid shadow
latent edge
#

Hopefully it will be over though

latent edge
placid shadow
latent edge
#

yeah sheaves are there

placid shadow
#

im going to sleep, i hope everyone has a good day/night!!

latent edge
#

goodnight

vale geyser
placid shadow
true zinc
latent edge
#

nah it's fine I can invite aurora to one of the farms and explain what I mean by sheaf

true zinc
magic python
#

I'm back sadly 3:

true zinc
#

Welcome back

magic python
#

Ty

unborn meteor
#

hi

magic python
#

Haii

#

What's going on in discussy 2

coarse kayak
#

helloooo

hallow plume
trim stone
eternal dew
#

Celibacy and virginity are superior to other ways

#

@neon tundra do you agree

neon tundra
#

Whatever floats your boat, but don't ping random people.

eternal dew
#

You are the most sagacious individual in the server

#

Had to take your opinion

small dust
#

,w sagacious

fathom swallowBOT
whole pike
#

math is not competition. its computer science.

spiral sand
shadow dagger
#

Why mathematicians consider Euler's equations pretty?

cyan karma
rose widget
#

help

#

how to get rid of helper role

placid shadow
rose widget
#

thanks

odd umbra
#

Labubu

slow pier
#

Does anybody using anki or any other srs system for math/unrelated? How do you use it? I would be interested in knowing, just collecting opinions and ideas.

north topaz
#

maybe if you're learning circle theorems and you don't know what "chord", "tangent", "sector", and "inscribed angle" mean

#

but to learn maths, you really have to practice questions (and read worked examples / do simpler examples if the questions you have are too hard)

#

there's no way around this

slow pier
#

It comes from a quantum scientist with experience in both math and memory systems

north topaz
#

that's an interesting perspective

junior veldt
small dust
deep mango
south vector
small dust
#

yea, e^(pi/2 * i) is a much better expression

junior veldt
#

which is surprisingly difficult if you haven't tried it before

#

by this i assume you mean $e^{i \theta} = \cos(\theta) + i \sin(\theta)$

fathom swallowBOT
#

Pseudo (Cat theory #1 Fan)

547515245258735616.png
shadow dagger
junior veldt
#

Yes

shadow dagger
#

I only know this uses the Maclaurin series

#

But idk why he have to use the Maclaurin series and not just Taylor series?

tropic wagon
#

crazy

haughty lion
hard yarrow
#

Ended up with a C+ in differential equations

#

Yay for last official math class ever

hollow sundial
#

@ocean harbor that user was trolling so they got muted

#

They were never genuine with their question

ocean harbor
#

oh that makes sense

hot lion
#

I'd argue that basically all of the learning he outlines in that article comes from actually making the flash cards and answering them for the first time rather than reviewing them

#

I do really agree with his general approach in the sense that really dissecting a theorem and picking apart why it works, where each assumption is necessary is helpful

#

and also asking more open-ended qualitative questions to yourself I think is something a lot of people should do more of

junior veldt
#

Though there have been cases where flashcards afforded me genuinely new insights

hot lion
#

I think the main issue with flash cards is that it is dangerously easy to misuse them

#

and feel like you are learning more than you are

last turret
silent ledge
#

mmm

#

yummy finacnial aid forms

#

im commiting

#

idc if embedd fail

stray geode
silent ledge
#

whats wrong

junior veldt
#

It’s only math people that have brought this up

#

As a teacher I would be happy if my students felt like they were learning

#

And you can test that with practice problems etc

#

Honestly this has always rubbed me the wrong way, it feels like an elitist “oh well you thought you learned something? actually you learned nothing and you should feel bad for trying”

hot lion
#

the second part isn't really the implication, there's obviously nothing wrong with learning the basics and big picture

#

But the question was presumably asking about learning for a class, where you really want to know the material at a deeper level to be able to solve problems

junior veldt
#

I’ve used flashcards to achieve that goal too

hot lion
#

and I said that if you use them properly then they can be helpful

#

my point was just that it's very easy to just write a bunch of definitions and theorems on flash cards, essentially use them for memorization and not really learn the skills you need to learn

junior veldt
#

?

#

Those are exactly the kinds of things flashcards are helpful for

#

Among other things

hot lion
#

sure but memorization is not really what you need to know

junior veldt
#

In my experience, the more I memorized theorems and definitions, the more cognitive space I had available for actually thinking

#

Compare trying to read a foreign language book only with access to a dictionary

#

Having some amount of memorisation genuinely helps, and flashcards can help achieve that

slow pier
shadow dagger
silent ledge
hot lion
#

Languages are actually an example that prove my point, since it's far far better to get practice speaking/using words in sentences/etc than it is to just memorize words

junior veldt
silent ledge
#

um actually speaking and writing shouldnt be a priorty

#

🤓

#

when leaerning a language

slow pier
#

Thats how kids learn. They hear and they start using

#

Pretty effective imo

silent ledge
#

yeah bascially

#

thats immersion learning

junior veldt
silent ledge
#

you obviously need to memorize the language to learn how to apply it tho

slow pier
junior veldt
hot lion
#

in practice if you do a higher level of practice you will basically automatically memorize things without actively trying

junior veldt
silent ledge
hot lion
#

I never really actively memorize things in math unless they don't really come up in the course outside of when you first learn it

junior veldt
#

Good for you

hot lion
#

and even then the way that I try to memorize is by making connections and doing higher level thinking rather than just like

#

rereading or something

#

or using flash cards

shadow dagger
hot lion
#

if you do use flash cards, its much better to incorporate some amount of higher level reasoning (such as in the linked post) rather than just like "what is this theorem/whats the definition of this thing"

silent ledge
#

its better to hear the language first like of course whene leaarning a language you should write out the words

#

and have a dictionary to go through like anki

junior veldt
hot lion
#

yeah then I have no issue

#

I mean I don't really have an issue with anything regardless

slow pier
#

Yeah I agree

shadow dagger
silent ledge
#

yeah

#

100%

hot lion
#

my whole advice is just that if you are going to use flash cards, you have to be intentional about the questions because its possible for them to not be very good if not used corrected

#

compared to other study techniques where its harder to go wrong

silent ledge
#

well mostly

hot lion
#

personally for memory I think free recall beats flash cards basically all the time

junior veldt
junior veldt
hot lion
#

free recall + review cycles, doing practice problems mainly

hot lion
silent ledge
#

obviously you need to learn what the words mean and anki is basically like a flashcard thing thatll let you note down words and stuff

slow pier
#

Flascards are good for the high level part, problems > flashcards definitely

silent ledge
#

you have to memorize a good bit to be able to apply to learning

junior veldt
#

That’s the sort of thing Anki implements

shadow dagger
#

I'm learning Mandarin, and what I do is write the pinyin characters while reading them. Isn't that effective tho? But I remember it more easily like that, because the writing character is a bit complicated

silent ledge
#

yeah im not saying to not write it down

#

thats exactly what you should be doing

slow pier
#

Though in Euclidean Geometry for example it might be useful to keep some lemmas in mind

placid shadow
silent ledge
#

im just saying it helps but not in excess and write only to what you can understand

slow pier
#

,w lemma

fathom swallowBOT
placid shadow
#

Ty

slow pier
#

The first one

silent ledge
#

like im saying learn what tou can and apply what you know

#

writing the characters helps but writing with no understanding of how they go together wont

shadow dagger
shadow dagger
silent ledge
#

god damn embedd

#

but thats great then you are at the stage where you should be good lol

#

but mandarin is a very scary language to me lol, I miss pronounce things a lot and that language does not have any room for error lol

shadow dagger
silent ledge
#

tone seems to be pretty important for mandarin

#

are you sure?

hot lion
# junior veldt I also read a book on learning research that talked extensively about active rec...

yeah active recall is good but its important to take into account what the que is for recall, for instance a card that says "what is the definition of X" won't really be helpful if you need to identify situations where to use X without being prompted specifically to use X (of course, you could make a better flash card to account for this, but that's my entire point is just that you have to be careful to either mix up strategies or make sure that you actually have flash cards for the things you are trying to learn)

shadow dagger
silent ledge
#

itll take a lot of time lol

#

you just need to listen to a lot more media to get used to it

#

its kinda like how you cant understand radio chatter at first

hot lion
#

In general its good to practice the specific skills you want to get better at, which isn't always accounted for with flash cards

silent ledge
#

but the more you listen to radio chatter the more you will adjust to it being able to understand it

shadow dagger
junior veldt
junior veldt
hot lion
#

also just a random thing because its on my mind here are some of the things I try to do to help remember definitions/theorems:
(1) identify a few key examples or counterexamples that illustrate which assumptions are necessary and why
(2) try and reformulate or summarize parts of the definition/theorem into a form that is perhaps less precise but also easier to remember (and that you can convert back into the precise form when needed)
(3) look at some results that depend on the specific definition/theorem, sometimes the result uses the definition/theorem in a way that makes it a lot easier to remember
(4) organize definitions into your own personal categories based on what makes the most sense to you, also come up with your own analogies

mossy lance
#

@vapid pier and @olive tendon it’s been nice knowing you!

olive tendon
#

thanks for the help koyuki

mossy lance
#

Yuh I learned too

vapid pier
#

I did nothing much. you don't have to thank me

mossy lance
#

Aw don’t be humble, you’re a great mathematician :3

#

And teacher

dusty ibex
vapid pier
#

you're probably better off asking an actual undergrad or above

dusty ibex
vapid pier
#

no I'm not

#

as in I'm not an undergrad

mossy lance
#

What do you guys mean by analysis

#

(I study in French)

vapid pier
#

do you know what calculus is?

mossy lance
#

Yeah

vapid pier
#

calculus teaches you the what and how.
analysis teaches you the why.

mossy lance
#

Can you give me some examples of what you learn in analysis

#

Because I took the course “analyse numérique pour l’ingénierie” but I’m not sure if it’s the same thing

dusty ibex
#

Well, we learn about the formal definition of a functional limit, which is the delta Epsilon def
We also learn about sequences, continuity and a bit of topology in an analysis 1 class

mossy lance
#

Oh ok I don’t think I know any of that

dusty ibex
mossy lance
#

Well I did learn the definition of a limit in calculus

#

Continuity too

#

And uhhh what do you mean by sequences?

#

Like sums?

fierce eagle
mossy lance
#

Analyse just means “analysis” for me haha

vapid pier
#

the ideas in basic RA are:

  • real numbers and subsets; properties of the reals/subsets
  • sequences and series
  • basic topology (on R)
  • limits and continuity
    etc.
mossy lance
#

Which is to analyse something

fierce eagle
mossy lance
#

Yeah but I’ve never heard of a course just named “analysis”

dusty ibex
mossy lance
#

In my course called “calcul différentiel” which I guess is calculus

#

Differential calculus

#

Or something like that

vapid pier
#

and that is because the topics of analysis closely resemble the topics of calculus, at least at the start

mossy lance
#

Maybe we didn’t see it in detail

dusty ibex
#

The thing is, the definition of a limit you learnt in calculus is not rigorous. Analysis proves all the theorems you've seen in calc

mossy lance
#

Because it was only a part of the course

latent edge
mossy lance
#

Naw

latent edge
#

Ok

mossy lance
#

Whas that

vapid pier
#

is that French for some cohomology Galois theory or smth

mossy lance
#

Yeah I don’t think I learned that

fierce eagle
vapid pier
#

hence why I'm asking catthin4K

mossy lance
#

I’m taking my last “pure” math exam Wednesday

#

After that no more math courses in my life

#

(I think)

#

I will miss doing math

dusty ibex
mossy lance
#

It’s “mathématiques pour l’ingénierie 3” which is laplace, Fourier and some other type of differential equations

vapid pier
#

oh engineering math 3

mossy lance
#

Yuh yuh

#

What’s discrete math?

dusty ibex
mossy lance
#

Ordinary differential equations?

dusty ibex
vapid pier
#

there's logic, set theory, combinatorics, even some automata theory, at least from the source I have

mossy lance
#

Actually learned what EDO (équations différentielles ordinaries) meant after doing the exam about it hahah

mossy lance
dusty ibex
vapid pier
#

basically a hotpot of math topics

mossy lance
#

What are you studying?

vapid pier
#

I don't see discrete math as a field in itself

dusty ibex
mossy lance
#

Oooo seems cool

#

I love math

#

^^;

dusty ibex
vapid pier
#

not sure. my primary interest is medicine

mossy lance
#

Engineering is cooler tho :3

mossy lance
vapid pier
#

however, failing that, I don't mind a degree in pure math

mossy lance
#

Medicine is super cool

#

I don’t think I have lots of people skills tho

dusty ibex
vapid pier
#

there's a lot of math everywhere in medicine

mossy lance
#

But koyuki you seem to be super smart I bet you’ll be successful

vapid pier
#

I'm really not.

mossy lance
#

Hahaha

dusty ibex
mossy lance
#

I know pharma has lots of math cuz of medicine/drugs

#

I think

dusty ibex
#

I feel like med school itself doesn't give rigorous math's training, just an intro to stats class

mossy lance
#

I really have to study for my finals but this chat is so interesting :,)

dusty ibex
dusty ibex
mossy lance
#

Sudden realization of doom I was supposed to start studying like 3 hours ago

vapid pier
# dusty ibex Oh, can u give me examples about that?

pharmacy requires dosage calculations
radiology requires developing algorithms to reconstruct images from data
physiology and biomechanics require physics knowledge, which requires math in turn
genomics/molecular medicine require probability and combinatorics (and more)
etc.

mossy lance
mossy lance
dusty ibex
mossy lance
#

Anyways good luck to you two in your studies!

dusty ibex
#

Thx mate, likewise

mossy lance
#

Am kinda in a bad situation

mossy lance
ancient zephyr
#

Anyone here who can help me with multivariable integration

brave coral
#

I have a math exam tmr am I cooked

lofty yew
#

how many hours tho blankstare

#

every minute counts...

brave coral
#

I have the whole today

#

But I haven’t done anything bro

lofty yew
#

🐺 whats the topic and how many hrs till u sleep and after u wake up tmr is the test

brave coral
#

Quadratic and the sin tan wtv it was

lofty yew
#

did u do all the homework?

brave coral
#

Only rhe qraphs are hard

lofty yew
#

and if u havent already do a test exam

brave coral
#

WHY WOULD I BE WORRYING ABT THR HOMEWORK RN

lofty yew
#

bc if u skipped any homework that might be a topic to start revision

brave coral
#

Bro I did like one homework the whole term

lofty yew
brave coral
#

I hate quadratic sm

lofty yew
#

assuming u have more than 6 hrs of prep time today, u can also ask chatgpt and gemini to make u a test based on ur homework and the topics and any information u know about the exam (e.g length)

#

once u know what ur weak in (it might not only be graphing speed) u then spend hopefullly 80%+ of ur time on those

brave coral
#

I have more than 6 hrs but I don’t wanna study

lofty yew
#

bro 😭

#

u got to 💔

brave coral
#

I can’t study for more than 3 hrs max

lofty yew
#

ok its actually uber simple frfr, test papers arent even studying

brave coral
lofty yew
#

u only have to study if u dont know a topic

brave coral
#

That’s the thing Idk abt quadratic

lofty yew
#

otherwise its practice.. i guess thats considered study, but like, it should be mindless

lofty yew
brave coral
#

I can do sin tna cos but not quadratic

brave coral
#

Like x intercept

#

Nd stuff

lofty yew
#

if u know thats ur only weakpoint, do like 30 min of it now. 10 min vid/textbook, 20 min practice problems

#

look for ur specific topic on organic chemistry tutor he probs has a vid for it if its like highschool

brave coral
brave coral
lofty yew
#

u have any past homework on the graphs u can look at? or the chapter in ur textbook

#

that should be a great reference point for what to actually look at, and tbh dont spend too long, i wouldnt do more than like 3 hours anyways, u have to keep ur brain fresh

#

and lots of breaks

brave coral
#

Cuz I have the solutions f

lofty yew
#

based

#

i would still suggest maybe ask chatgpt or gemini to generate a like 30-60 minute exam for u that covers all the topics, maybe more intensive on the graphing

#

before u reach like the 2 hr mark so u can still have at least 15 min after that to review

brave coral
#

Oki thanks

lofty yew
#

i cant say how amazing sitting practice paper are, even if its ai emulated

lofty yew
# brave coral Oki thanks

UR GONNA SMASH IT 🗣️ and if u do the heavy lifting now, u only have to do a light review tmr morning and your brain will be fresh and ready

#

🎉 goodluck

brave coral
blissful light
#

Gang how do you gaslight yourself into liking math? I fear it’s the passion I lack after years of burnout, so uh. Annnnny pointers, now that I’m in the highest course of high school math possible in my state…?

#

Squints in “is this a server of folks from all across the world, or can I specify Extension 2 NSW”

lunar ruin
#

years of burnout
still in highschool

blissful light
#

Squints what

#

Whhhhat are you trying to say?

#

I fear I gotta specify that high school is six years long in my country? Perchance? In case it’s a confusion with folks that have middle schools?

lunar ruin
#

I really just dont think you can get burnout from highschool level stuff. If you're serious, then I really dont think the subject is for you.

blissful light
#

Wow what a wonderful generalisation from someone who doesn’t know what my country’s education system is like, what other subjects I take, whether I’m employed, whether I take extracurriculars, whether I have mental disorders, or just anything about me :3

#

This is such a splendid server to join in hopes that I’d find folks that can get me to find imaginary numbers and complex planes interesting haha

rancid gorge
blissful light
#

Already the plan lmao

rancid gorge
lunar ruin
blissful light
limber thunder
rancid gorge
blissful light
lunar ruin
#

Wow, people get offended quick when given a reality check. If someone is trying to force a passion, maybe take a step back and ask if it's even healthy or not to continue it.

blissful light
#

Lowkey betting this dude needs people to censor the word job

limber thunder
#

I'd try to get assessed for depression or a similar condition honestly, been there myself a few times

blissful light
#

For context, you know, the thing people need before they start to make assumptions, I’ve always liked maths, but since I’ve taken on a high load of science subjects at school (I believe they’re the equivalent to US AP courses, but I could be wrong? (Aussie haha)) I’ve kinda been slipping a little and wanna bring back the spark is all

limber thunder
#

now, about liking math I've always found it interesting to go beyond the curriculum and just learn new things freely

#

but idk how applicable that is for high school math

blissful light
limber thunder
#

or which resources to recommend aside from like Khan Academy which isn't particularly deep

blissful light
#

Yeah that’s the problem with it lmao

#

You can’t really go and explore without learning the “wrong thing”

sudden lichen
#

What things are wrong? (Curious)

blissful light
#

The things we aren’t being directly assessed on — it’s a slippery slope of falling down rabbit holes that won’t actually help you in any capacity in a test

sudden lichen
#

Ahhhh

blissful light
#

I know I have a tendency to kinda just tunnel into the entirely wrong place

#

At least with bio and stuff there’s a broader scope of stuff that’s considered “correct” since the exams are so writing heavy

tacit lagoon
#

Hello I find someone to work with me

foggy ferry
#

where did you meat ?

turbid urchin
#

why is this gc so quiet

obtuse grail
unkempt moat
pastel blade
hybrid veldt
#

xd

turbid urchin
foggy ferry
#

helooo

polar temple
#

💀

#

US high school is easy (I've never been to the USA)

rose ridge
#

-# nom nom nom

old oak
#

I am a high-school math teacher

light gate
worldly horizon
old oak
#

Usually the case with GenAI output

alpine kindle
# old oak

interesting
didn't know generative ai could almost do text properly already

old oak
#

"almost" doing a lot of heavy lifting here

alpine kindle
#

and the font is very close to being consistent

worldly horizon
light gate
#

i didnt catch any issues beside infty for the first 5 seconds so i guess id agree that it is "almost" good enough?

worldly horizon
light gate
#

sec "pi" (30 deg) is the worst

worldly horizon
#

what I find strange is that ai is usually pretty good with trig and angles, it just fails to put it onto paper

light gate
pure sapphire
light gate
#

i think theres a case to be made for reasoning language models tho

worldly horizon
# old oak

(π) being incorrectly converted under all of the angles 🫠

light gate
# worldly horizon what I find strange is that ai is usually pretty good with trig and angles, it j...

this paper may be of some utility here
https://arxiv.org/abs/2507.12469

arXiv.org
Perfect diffusion is $\mathsf{TC}^0$ -- Bad diffusion is Turing-com...

This paper explores the computational complexity of diffusion-based language modeling. We prove a dichotomy based on the quality of the score-matching network in a diffusion model. In one direction, a network that exactly computes the score function of some initial distribution can only perform language modeling within the $\mathsf{TC}^0$ comple...

polar temple
#

even ai deems it useless

placid shadow
#

has anyone else done rotations of shapes in similar ways to this for fun and getting intuition? i'm on Khan Academy, and it feels like you can get the same answer through multiple methods such as when rotating by 180 degrees you just change the sign of the coordinates or you could for example do this and draw some linear lines to form the angle of change between E and E prime

image.png
polar temple
#

in india, torture chambers dont exist

#

we have the JEE chambers instead

shy bobcat
#

hi, sorry but is there anyone here using latex? i'm very new in latex and i wonder whether i can do something like in the below

\begin{enumerate}
\item Solution set of $x-7<2x-5$
\begin{align*}
x-7&<2x-5 \
-7+5&<2x-x\
-2&<x\
x&>-2\
\end{align*}
\therefore SS: (-2, \infty)

\item Solution set of $2x-4\leq6-7x\leq3x+6$
\end{enumerate}

fathom swallowBOT
#

Ab.
Compile Error! Click the errors reaction for more information.
(You may edit your message to recompile.)

957350030983979029.png
tropic pivot
warm umbra
#

Welcome to the server @upbeat jackal @visual compass

obtuse grail
obtuse grail
idle steppe
#

Cos2π=-1 is crazy

#

Tanπ=inf is crazy

#

Thats two horrible mistakes in 1 line

frigid smelt
#

the image is most definitely ai trying to do math

#

at least it isnt a human mistake

unkempt prism
#

Also 1/2 can be written as sqrt2 💔

ocean harbor
#

thats $2^{\frac{1}{2}}$

fathom swallowBOT
#

Akιρɑ

362561562004946945.png
unkempt prism
ocean harbor
unkempt prism
ocean harbor
unkempt prism
ocean harbor
#

i did

#

but its not 1/sqrt{2}?

unkempt prism
#

The point is it’s riddled with mistakes

ocean harbor
#

ah ic

placid shadow
#

Do you guys exercise?

unkempt prism
ocean harbor
latent edge
placid shadow
latent edge
placid shadow
placid shadow
ocean harbor
ocean harbor
ocean harbor
placid shadow
#

How do I make this in Python? blobcry 🙏

image.png
#

i've always wanted to do this!

#

And how can you create your own techniques for rasterization even if they're not as efficient as what's already in all computers? Does anyone know?

ocean harbor
#

u need to install numpy + matplotlib for this

#

thats my suggestion