serious-discussion

[tender tulip]

@ocean harbor I cannot find a way to use Feynman’s method on this fucking integral

[lyric scarab]

no one askes u

[tender tulip]

https://tenor.com/view/roblox-roblox-meme-roblox-memes-boi-wtf-twerk-gif-6690897771582534374

[ocean harbor]

,w \int_{0}^{\infty}{\frac{\cos(t)dt}{t^x}}

[fathom swallow]

Results provided by WolframAlpha

Click here to refine your query online
Upgrade to WolframAlpha Pro!

Requested by kensukeken

[ocean harbor]

you are welcome

[lyric scarab]

gn

[ocean harbor]

gn

[neat lintel]

Not only you actually

[ocean harbor]

https://tenor.com/view/skill-issue-gif-21393480

[muted totem]

Hello discussion 2

This weekend I finished studying all the content covered in my analysis course 6 weeks early

(I technically had a head start of several years)

[ripe needle]

I've been here over a year, multiple channels, including help, no active

I saw someone recently that's been in this server 2 weeks and already has active role

cries in skill issue

[ripe needle]

Time to study more analysis

[muted totem]

There's so much more to study I don't know what to choose- multivariable? Metric spaces? Whatever I need to study to do measure theory? CA? It's a good problem to have

[fresh comet]

how does getting active role work

it is automatic, or does someone give you it?

[slate turret]

you have an active role rn lol

there's like a secret math roundtable that decides what roles ppl get

the pi table they call it

[fresh comet]

i know, but i have no idea how i got it

which is why i asked lmao

[slate turret]

maybe it's message amount?

you have like 7k

i have like 1k

[fresh comet]

eh, i got active a while ago

probably when i had about 3-4k or around there

i dont think its the message amount matters, but messages/unit time or something like that

perhaps someone who knows how this server works can answer

[slate turret]

maybe!

[ripe needle]

I've heard it's weighted, each channel has a weight. Discussion is the least weighted.

But getting it in only 2 weeks is crazy either way

[fresh comet]

weighted?

that seems weird lmao

[ripe needle]

💯

[fresh comet]

what's weighted the most then?

[solid snow]

secret

[fresh comet]

[slate turret]

my best guess is that the advanced chats are what is weighted the most

[old oak]

That would explain it, since I think I reached very active fairly quickly, and most of my posting has been in the advanced channels.

[mint patio]

Did anyone else learn to use chopsticks just by fiddling with them constantly and messing up and like idk one day you noticed it just clicked

[sly flint]

Yeah. Though I did see one of my friend's doing it so I had a general idea beforehand.

[latent edge]

Yeah

[mint patio]

I've never seen anyone proficient with chopsticks in person

Just in vidoes

[fresh comet]

basically yeah

imo they’re nicer to use than spoons/forks though

[fallen mango]

Tes

[mint patio]

I think it depends what I'm using them for

I've only used them for sushi and ramen lmao

Ramen I could use a fork but chopsticks are more fun to maneuver so I can grab hold right 🤣

but for sushi I think it's way better than spoon or fork

[fresh comet]

Oh I use them for everything lmao

except like soup obviously

[mint patio]

Maybe one day I will reach that level of dexterity

[fresh comet]

I don’t use forks anymore

[mint patio]

HAHAHA This reminds me of something

[fresh comet]

yeah?

[mint patio]

https://www.youtube.com/watch?v=I0QFtxRgkYw

[fresh comet]

???

[sly flint]

Huh

[fresh comet]

I don’t think I’m that great with chopsticks

I think I’m closer to about average

Also, what is this about drinking water using chopsticks

how does that work

[mint patio]

It's just a meme challenge he did with his Twitch channel

[sly flint]

Well, I think they just try to get as much water onto the chopsticks and evapouration deos the rest

[mint patio]

I think he just tried to pick up water with the chopsticks, maybe suck it out idk

[fresh comet]

i… have no words lmao

[mint patio]

es just un funny video not srs :c

[fresh comet]

no it’s funny, but like

why

[sly flint]

because hooman like to do thing make no sense

[mint patio]

because we like seeing others suffer ig 💀

[fresh comet]

Oh true true

[fresh comet]

Also true

ig human psychology is something else

[sly flint]

Yup, it's why we're alive for some reason. Also I want to change my nick but it's locked in cause I lost my privs so I'm stuck with this monstrosity.

[mint patio]

LOL

Mods said no?

[sly flint]

I don't wanna bother them over a nick lul, I'll try to grind for active after my finals
plus I won't be here that often too :{

[fair mural]

they don’t care lol just dm modmail

[mint patio]

yeah they don't mind :)

[cursive imp]

f(x;a) any clue what does the ";" could mean?

[sly flint]

It basically tells you that "a" is a parameter. Nothing fundamentally different from a function of two variables, though. You can interpret this as the family of functions f(x) as the parameter a varies.

[burnt ledge]

went to get sushi with friends and one of them showed me. got it well enough to eat easily in like 2 minutes and never bothered 'getting proficient' after that, theyre still a bit awkward for me but like. it all gets into my mouth so idc

[alpine comet]

You can also be born an southeast asian and have your mom teach you how to use it properly

[neat lintel]

I just watched food wars and your name shows up

[neat lintel]

Should I study for my linear algebra class or talk in the esteemed and well regarded mathematical society of excellence, commonly called mathcord?

[coral fossil]

geometry is the bane of my existence

[fervent flame]

messages_v4_fixed_final2.pkl

[solar hawk]

Do both

[alpine comet]

where do you think I got my handle from?

[alpine comet]

you can bullshit with us about linalg

you'll say something stupid, and we will diss you and almost make you quit math

then we help you recover and you understand linalg better

[glass peak]

The way it should be

Learn through ferocious cyber bullying

[neat lintel]

Physics final today 🙂

[sleek pagoda]

So I saw this video on umbral calculus today with a delta operator

It defined delta f(x)) = f(x+1) - f(x)

and x to the falling n as x^(n)- = x * (x-1) ... (x - n + 1)

then it proved this delta x^(n)- = nx^(n-1)-

Then because this looks like calc it kinda made a operator to convert between the two

phi d/dx x ^ n = delta phi x ^ n, it defined the new operator phi as that

And then the video just replaced the x^n with like f(x)

And I have no idea how to prove it

I know delta (f(x) + g(x)) = delta f(x) + delta g(x)

[cold needle]

Is this umbral calculus

[sleek pagoda]

yeah

[craggy gust]

i just learned that operator in my linear algebra course

we presented it as a linear map over polynomials of degree n to degree n-1

[sleek pagoda]

cool

I think I have an idea

The video said something about taylor series

So maybe if it as a taylor series aproaches f(x)

each polynomial will have the rule hold

so it will hold in the limit case?

And how do I prove it for a polynomial

nvm that's easy

[sleek pagoda]

cause that holds for both d/dx and delta

[craggy gust]

they are linear maps

and u can show it fairly easily ||D(f + g) = f(x) = f(x + 1) - f(x) + g(x + 1) - g(x) = (f + g)(x + 1) - (f + g)(x)||

[sleek pagoda]

I'm stupid

what is a linear map?

[craggy gust]

f is a linear map if and only if:
f(x + y) = f(x) + f(y)
f(ax) = af(x)

[sleek pagoda]

ohhh

Kinda like a linear function

without the

f(0) = 0

condition

[craggy gust]

thats affine

[sleek pagoda]

what is affine?

[craggy gust]

in this situation its just what you are calling a linear function without the restriction f(0) = 0

[sleek pagoda]

Yeah my linear algebra knowledge stops at

linear transformations keep lines parallel

and the orgin fixed

[solar hawk]

axler

will save you

nuture you, with his soft hands

just give in, go into the light

dont listen to what they say

find him

i need to go, they are coming for me

for saying these words

.

lol josemom did u see this

[thin kiln]

Is there a rational reason why the reciprocal of the sine is called cosecant ?

[neat lintel]

the sinus?

[thin kiln]

yes

cosecant = Hyp/Opp , which is the reciprocal of the Sinus = Opp/Hyp

Why did they name Hyp/Opp, cosecant ?

[deep mango]

https://english.stackexchange.com/questions/40364/what-reasoning-is-behind-the-names-of-the-trigonometric-functions-sine-secan

so basically secant "cuts the tangent"

and cosecant "cuts the cotangent"

[thin kiln]

Let me read this through

[thin kiln]

Ah Sorry my bad, I meant sine*

[glacial panther]

ya'll does anyone have a complex plane graphic calculator link

[neat lintel]

geogebra?

[plain island]

davidbau.com/conformal/#z
might be helpful?

[neat lintel]

Implement it in desmos yourself

[signal current]

Demos sucks

[thorny flume]

I thought you said deimos lmao

[neat lintel]

https://arxiv.org/pdf/1709.05959.pdf How useful is this>

[neat lintel]

Hi

[neat lintel]

Hi

[neat lintel]

Hi

Hi

[neat lintel]

Hi

[neat lintel]

Hi

[neat lintel]

Hi

[neat lintel]

Hi

[neat lintel]

Hi

[neat lintel]

Hi

[neat lintel]

Hi

[neat lintel]

Hi

[neat lintel]

Hi

[neat lintel]

Hi

[neat lintel]

Hi

[bronze pelican]

Hi

[neat dust]

Hi

[bronze pelican]

Hi

[neat dust]

Hi

[bronze pelican]

Hi

[neat dust]

Hi

[neat lintel]

Hi

[neat dust]

Hi

[neat lintel]

Hi

[neat dust]

Hi

[neat lintel]

Hi

[neat dust]

Hi

[deep mango]

[neat lintel]

Hi

STOP\

[deep mango]

Cut it out

[neat lintel]

Noooo

[neat dust]

Hi

[deep mango]

Dont encourage spamming...

[neat lintel]

Why

[neat lintel]

It done

He cut it

[neat dust]

Aw man

[bronze pelican]

Ok ryc

[neat dust]

But it isn’t spamming

[neat lintel]

See

[neat dust]

No one else was talking!!

[bronze pelican]

This is why #chill is better

[neat lintel]

Spamming is when five people are having fun with each other

[loud snow]

This is wild

[tawdry pecan]

sad part is, it was a (semi) interesting question

[latent edge]

Shuush you will make them move there

[bronze pelican]

I welcome any and all misfits to #chill . It is the superior #discussion

[neat lintel]

lmfao

[limpid sand]

@deep mango Hi

[latent zodiac]

d1 killjoy

[sick kite]

What a god awful take

[static loom]

yeah agreed, we're supposed to be mathematicians here

let #X be any channel. It is superior to #discussion

[plain island]

that's impossible because then #discussion would be superior to itself

[static loom]

exercise for the reader

maybe I can weasel out of it by saying superior is reflexive and not meant to be conflated with 'strictly superior' or something

[sick kite]

Russell's discussy paradox

[neat lintel]

hello

[woven whale]

not strictly superior

[sweet vortex]

my eyes hurt so much from the pc screentime that i have to type this research assignment while closing my fucking eyes

[vernal token]

What's the research assignment

[scenic plover]

find the perimeter of the square field whose side is 11.8m?

[long matrix]

no

[twilit parrot]

Relatable

I want a break from the screens but then I remember I’m online homeschooled so…

[sly flint]

Stop it. Get some help.
Seriously though, might wanna pay your optometrist a visit.

[neat lintel]

light mode user spotted

[signal current]

There are no light mode users, they are non-existent entetities.

[fallen mango]

Entitys*

[meager sonnet]

@terse comet show em

[terse comet]

it is the superior modality

[burnt ledge]

FACT CHECK: TRUE

[vague sinew]

Entities*

[fallen mango]

Thanks

[signal current]

I have been bested at my own game 😭

[tiny saddle]

...

[neat lintel]

What's the difference between a professor and a lecturer?

[river moon]

the person giving a lecture is not necessarily a professor

[sweet vortex]

No its just cause i stared at that fucking screen for 5 hours straight

[sweet vortex]

Not a research assignment bjt we have to make a research paper

[burnt ledge]

^fact check: True

[neat lintel]

Wait are you a furry?

[burnt ledge]

literally what

No

I love that nobody knows what the hell "anthropogenic" means. is everyone just illiterate now

[tepid marlin]

[meager sonnet]

I feel like anthropogenic climate change is a big enough topic it should just be putting two and two together

[burnt ledge]

yea it should be

[fair mural]

???

[rough valley]

any website recommendations or youtubers to get good notes from?

[bronze pelican]

Cute theme

[agile fiber]

it is kind of funny how "anthropomorphic" has morphed into exactly the opposite of what it means

[noble kindle]

Guys should I show the problem that I didn’t solve to my teacher, it knows that it didn’t explain the topics but I somehow know them, it knows that I like math and I’m good at it, will it get suspicious and tell me that I’m not the one who solved it

It’s just the topics that it didn’t explain, I’m pretty sure if it explained them I’d know how to solve the problem

[solid snow]

it?

[neat lintel]

what are you saying

Are you asking if you should ask your teacher for help understanding the problems you don't know how to do? If so, yes

[tepid marlin]

God how many times are you gonna say it in one sentence…

[mental stratus]

what's wrong with using light mode

[glass peak]

Looks bad

Very bright, hard on the eyes

[neat lintel]

bad for eyes

[vivid halo]

nothing really

[glass peak]

Nope, there has been an agreement from big business not to hire math students after 2029

[deep mango]

It's not bad if you do applied math stuff, you can go into software / finance / modeling after

But there are better options if you have a better idea of the direction you'd want

It's not really worth it in that sense

Eh

I don't know the statistics

But the reality is that most people are still just really bad at math

And most people are not choosing to do math degrees for job readiness

So idk if the competition is ever going to be that wild. Certainly not nothing

I have heard (aside from right now because the job market is slow everywhere right now) that this is a relatively low risk path

[neat lintel]

hello

[long matrix]

mewwo wyc

[neat lintel]

i was wondering why the cosh^2x-sinh^2x graph acts so weird in desmos

[river moon]

because they're hyperbolic functions and they parametrize hyperbola

u^2 - v^2 = 1 is a unit hyperbola

[neat lintel]

oh that makes sense

wolfram doesnt do that? their graph didnt act that way

[static hazel]

How to resolve Caneta Frac?

[river moon]

what way

,w parametric plot (cosh(t),sinh(t))

[fathom swallow]

Results provided by WolframAlpha

Click here to refine your query online
Upgrade to WolframAlpha Pro!

Requested by transparent_elemental

[neat lintel]

i cant post images here but desmos gives weird lines at around x=20 meanwhile wolfram just plots a straight line

[river moon]

the graph of cosh^2(x) - sinh^2(x) is a straight line at level 1

[neat lintel]

level 1?

[river moon]

cosh^2(x) - sinh^2(x) is equal to 1 for all x

[neat lintel]

yes but when i plot cosh^2(x)-sinh^2(x) in desmos it doesnt plot a straight line

[river moon]

desmos has a skill issue

[burnt ledge]

more like easy

[neat lintel]

yeah thats probably it

[errant ridge]

@worthy shell

ye it is annoying how they hold you back

[worthy shell]

Partly my fault too though

[errant ridge]

children should be taught how to self-learn stuff

[worthy shell]

I shouldn't have stopped and I could've tried harder

But ok what matters is that I've started again now

[errant ridge]

no point in would'ves and could'ves

indeed

that's what matters

learn from mistakes and move forward

get on that grind

[worthy shell]

[errant ridge]

you said next summer?

[brazen mulch]

a
how to follow this well

[errant ridge]

wait cant you do that dual enrollment thing or whatever?

that's for you to figure out

left as an exercise to the reader

[worthy shell]

No

[errant ridge]

Like you register in uni and study there while also going to hs

[worthy shell]

I can take 1 course in the summer

For hs

[errant ridge]

wdym?

[worthy shell]

A) no math or phys, B) only for gr 11 or 12

[errant ridge]

ah rip

[worthy shell]

Like I can do one hs credit in the summer (summer school)

[errant ridge]

wdym no math or phys?

[errant ridge]

I see okay

[worthy shell]

Like they don't offer anything for the uni courses

There's some other stuff ig

[errant ridge]

wtf why cant you take algebra and electeodynamics

[worthy shell]

It's not offered

[errant ridge]

stupid uni

try different uni

[worthy shell]

Real

I'm lucky though

Uoft and waterloo are both close

[errant ridge]

anyway i gtg sleep see ya later

,iam stu

[fathom swallow]

Gave you the studying! selfrole.

[worthy shell]

Gn

[sudden pond]

@worthy shell canadian uni mentioned

i go canadian uni

[neat lintel]

America?

[worthy shell]

Canada

[worthy shell]

Which 1

[sudden pond]

shanghai institute of traditional chinese medicine

[static hazel]

Im on ITA

[signal current]

Is that supposed to be a joke?

[sudden pond]

No?

[neat lintel]

@mint patio i don't know if you still want it, but i did end up going over that DG problem list

i removed the bad ones, fixed some typos, and added a few new ones

(i think it was you who asked me about it)

[mint patio]

sure (☞⁰ヮ⁰)☞

ayaya

[mint patio]

traditional medicine okok pass me some weed

[static hazel]

No

[hidden geode]

hlelo chatters

[static hazel]

ITA, ( Instutute of Technologic Aeronautic)

In Brazil

[neat lintel]

there were a few things i wanted to add to the list but never got around to doing so

the only reason i got around to doing it was as an excuse to learn git and github stuff

just one more thing i can put on resume despite having only done it once or twice

[tender tulip]

Git serves two purposes for me

• going between computers
• cataloguing my descent into madness as my commit messages become more and more deranged as I go along

[jagged forge]

50% of my git commits are just

lint

lint

lint

[grave pier]

what are some math cramming techniques?

[lyric scarab]

[lofty mango]

Does cramming maths works 💀

[grave pier]

@jagged forge suggested me to do so

[jagged forge]

the math version of cramming is to do lots of problems

[latent edge]

wanna see mine?

it's literally just deleting something then putting it back again then pushing

[jagged forge]

but also it helps if you have an idea what kinds of problems are gonna be on the exam

[neat lintel]

i do that a lot

also i have linting in my ide so i don’t have to manually pass it through linters

[jagged forge]

yeah but sometimes you have CI

and your CI system doesnt have the same linters as you

[latent edge]

It's basically reading week so I have some time for working on my projects

[lofty mango]

Tbh I dont think cramming maths will help in long run

[jagged forge]

the context is that they have an exam in 3 weeks and they havent studied the whole year

[lofty mango]

Then its good lmao

[jagged forge]

only one thing to do in that situation

[ripe needle]

But in the short run for your exam it works great Just study cheat sheets, say them out loud over and over, and write them out over and over

[grave pier]

no, this is the last time im giving a maths exam

[lofty mango]

Lmaoo now I understand

[grave pier]

oh yeah thank you

[jagged forge]

yeah cheat sheets are good

[lofty mango]

Ohh when you have exam
Revise all important formulas that's all I can say

[latent edge]

idk why cramming/exam talk gives me PTSD

imma move to math discussy

[ripe needle]

Check what channel this is

[latent edge]

I did and I regret it

[grave pier]

the questions are mostly competency based so formulas alone dont fetch a lot ofmarks, i'll have to practice a variety of questions

[ripe needle]

Whelp. Also, YouTube

[grave pier]

yep, i AM using a lot of YouTube for maths

and there IS good content thankfully

[lofty mango]

Woah I see
Like you can analyse pattern of questions or particular type of questions they ask you in exam , you can prioritise them first

[ripe needle]

My math education relies mostly on YouTube

[latent edge]

based

[grave pier]

i had to resort to YouTube because i could not comprehend at all what my maths teacher spoke during her lectures

• she was too fast to keep up with

[grave pier]

yeahh! i've also collected like 10-12 sample papers and i'm trying to do the most frequently asked questions first

that makes up 30% of what's gonna be on the exam

the rest is kinda twisted here and there

confidence is what i really lack lol

like when i see the question and if it's even slightly difficult, i just dont want to solve it

everytime i do maths, it always feels like i'm just starting out lol

i always get a very fresh feeling, which is not very enjoyable

Yes lol

I'm practicing my best

also, i'm thinking about straight up skipping some part

cuz, it's too much for my brain

• i dont have any intentions of scoring a perfect score so be it

hahaha, my parents will kill me haha

thank you very much, you've been a good adviser in these tough times

yes sir

mam

i called you 'sir' as a total sign of respect

it's nice to be polite

don't have to be a teacher or a master to be called sir

welcome lol

[rain oar]

hello i really need some advice on maths...

I am (debating) studying the british college maths syllabus, for those who knows what that is, its (edexcel) A-level mathematics.

I am a private candidate, meaning i dont go to school and i study from home. I got above average grades in my secondary school. But i need some help actually quantifying the learning process, especially in my situation.

I would like to know if anybody is willing to hop on a vc with me sometime and share some knowledge on what exactly it is i need to learn and if its worth it?

If someone can help me, would you mind DMing me? Thanks again.

[neat lintel]

Is it likely or unlikely that 125k people are buying an extended reality(xr) headset with the and capabilities of Vision Pro and meta quest 2 and 3 PER DAY. Consider it evolving each year and the price of the new product version start at 1200$ and decreases at 800$

[solid snow]

???

[white mica]

it's apple and 125k is not that much

there r a lot more rich people than u think

[neat lintel]

125k people everyday

[neat lintel]

????

[solid snow]

125k per day is an absurd number

[neat lintel]

Yes it is a lot

[neat lintel]

I think I didn’t specified

[neat lintel]

125k * 3,500 that's like 1/15 of a twitter

[neat lintel]

quantifying the learning process,
Don't you do this by just taking practice tests?

[glacial panther]

its like when you know so much about a topic that when you teach it to someone who knows nothing, you forget that you don't know many things that you do

understandably, he wants to know everything

[vale plover]

https://www.reddit.com/r/math/comments/1aryhiw/does_anyone_else_here_hoard_math_books/

[tall minnow]

if digital books count, my "reading" folder

evidently I'm not "reading" them very well

from the reddit thread:

I'm an EE student in my mid 30's and I bought a real analysis book.
I like this guy.

[clever tree]

bro ppl be reselling math books

wild

[sharp cave]

I want to accumulate more. When I die my brain won't be particularly wrinkly. But looking at the stuff that I have on my bookshelf the perception of the wrinkles on my brain will be...incredibly far from what the truth is.
Truly big-brained

[burnt ledge]

in case you still need this an easy solution is to just do a paper and see what you struggle with, and what mistakes u make

the only way someone "on vc"* could help you is by essentially doing the same thing

*there are no vcs in this server to facilitate this

[turbid ocean]

Why are my eyes so dry

I just read a book and my eyes became dry

[turbid ocean]

There are vcs you just need to be chronically online to access them

[burnt ledge]

I.E. there arent any vcs to facilitate it

[turbid ocean]

I consider having people in the background talking about their Minecraft world to be something that facilitates my learning

Thats just my learning style but it's not for everyone

[twin zodiac]

i have a question: how do you study when you feel 'drained' for the day

like after only 7 hours I completely drain up my brain 'stamina' and my head feels empty

[tacit magnet]

Force youselft to study.... and eventually you will have a migraine. If after 7h you are done then you are done so the best you can do is rest

[twin zodiac]

but I see some people pulling off like 10~12 hours study straight

i want to be like them

[tacit magnet]

Then like I said, force yourself. If your nose bleed, have constant headache or migraine, bad sleep rutine then its your problem

Is not healthy study so many hours for several days

[river moon]

have you wondered how much of 10-12 hours were productive

[burnt ledge]

however he doesnt have access to that

so

its not there for him

[proven knoll]

Video games

They give me study energy

[twin zodiac]

actually that is a pretty good idea

maybe I should start playing a fast-paced short games

[bitter viper]

Hello

can u solve this riddle

[rain oar]

the thing is, i know NOTHING about the new syllabus. Im looking at the paper like wtf am i looking at

i was gonna ask things like where would be the best place to start

a roadmap or checklist of sorts: know this before you do this, then do this, then that etc.

because im supposed to teach this all to myself but this seems infinitely more complex than i imagined

i like math on a fundamental level but along with that "chronological roadmap" how much of my time per week has to be allocated to effectively learn this math.

i believe im capable of learning it but... how! 😂

https://qualifications.pearson.com/en/qualifications/edexcel-a-levels/mathematics-2017.html

this is my spec btw

[tepid marlin]

You can look up the syllabus on google.

[tepid marlin]

That depends. How much time do you have?

Also what’s the end goal here?

[rain oar]

my end goal is to get a high grade on the exam

ive got a year and a half

until i have to sit it

but for the life of me i dont know where to start

it would be incredibly helpful if someone could look at my spec and be like right this is what you need to know, heres the order you learn it, heres the resources id recommend and bang it out

because im looking at the syllabus without the slightest clue of what anything is

i have basic knowledge of mathemetics, enough to kinda start pre uni maths

like a good grasp on algebra and functions and graphs and stuff

but im looking at stuff like cubic factorisation like bruh what

[tepid marlin]

On this site https://qualifications.pearson.com/en/qualifications/edexcel-a-levels/mathematics-2017.coursematerials.html#%2FfilterQuery=category:Pearson-UK:Category%2FSpecification-and-sample-assessments you can find the specifications for A level maths and super maths for your course. Look through the files and you’ll see what contents are covered pretty much in chronological order.

If you have the money for it, it’s definitely beneficial to buy the edexcel textbooks. That’s probably the best solution for your situation…

After that, look through stuff on physicsandmathstutor, alevelmathsrevision, and madasmaths for questions on each topic.

[neat lintel]

umm https://discord.com/channels/268882317391429632/1208051023994687498

[tepid marlin]

lol this song started playing when I saw you

[neat lintel]

lol

[burnt ledge]

take a look at the specifications, the textbooks, and do as many exercises as you can find on every topic therein

https://mathsisfun.com/ is a great resource for getting an introduction to i think pretty much any topic up to and including alevel and usually has exercises too i think

[neat lintel]

mathisfun is great it taught me simple calculus

[south arch]

what's ur guys tierlist of the hardest to easiest subjects in math?

[fervent pebble]

probably literally impossible to do

a very hard subject would be random matrix theory

a very easy subject would be addition

[south arch]

lmao

how about just undergraduate math subjects then

[neat lintel]

addition, subtraction, multiplication, division, all of that but with fractions, linear equations, exponents, simple number theory, logs, all of that but with complex numbers, geometry, trig, quadratic equations, differentiation

approximately the order i learned stuff in

[plain owl]

well it would be hard to decide on a hardest, since the hardest ones are not gonna be universally taught

[south arch]

I'm curious as to how you guys would rank them in a tier list

it doesn't have to be one is harder than the other

they can be on the same/similar lvls

[plain owl]

if you give me a list of subjects, I'll give you my opinion on how to order them

[south arch]

calc 1/2, multivar calc, linear algebra, PDE's, ODE's, real analysis, statistics, complex analysis, numerical methods, discrete math

probably missing a lot but

¯_(ツ)_/¯

[plain owl]

that's very american

[south arch]

yes, i am american

[plain owl]

Ok, I'll try to rank the ones I can

[south arch]

feel free to mash subjects up if you'd like, lol

[plain owl]

well statistics is also weird

as that should be a graduate course

PDEs, statistics, ODEs, complex analysis, real analysis, linear algebra

would be my ranking

[south arch]

from hardest to easiest?

[plain owl]

yes

[south arch]

interesting

keep in mind im an undergrad so i havent taken a lot of these courses but ive heard a lot of people freak out over real analysis

and for me, there are multiple statistics courses so i doubt we go as in depth as what you might have taken

[plain owl]

we also have statistics 1-3

but they are all graduate courses

[south arch]

ah okay interesting

[plain owl]

that is normal, but it's completely manageable

it's mostly hard for the time, but overall still easier

it's just one of the first courses you take

[fresh comet]

so much analysis 😵‍💫

[plain owl]

missing some algebra, functional analysis, commutative algebra, Galois/field theory

[south arch]

its an applied math curriculum

[fresh comet]

no geometry/topology either

[south arch]

my uni doesnt have a pure math 😔

[fresh comet]

oh that makes sense

[neat lintel]

all i know about analysis is how to differentiate some simple functions and the concepts of derivatives, integrals, and limits

[twilit adder]

where can i post imgs

[fresh comet]

why does it seem like analysis so much more useful to real world applications than other areas of math?

[south arch]

i mean, newton was a physicist

[twilit adder]

guys how can i post an image

[south arch]

and the entire area as i understand it is a study of things that change, like functions etc.

[south arch]

idk man ctrl c ctrl v

[twilit adder]

wont work in this channel tho

[south arch]

maybe its not allowed

it also makes sense that you apply math thats supposed describe things that change in the real world, to the real world

[fresh comet]

he was a mathematician as much as he was a physicist imo

[twilit adder]

which channel can i post imgs in

[south arch]

true, i think those fields are inherently very entangled

[south arch]

do you have a question? go to an open channel under MATH HELP (AVAILABLE) section and go ask ur question there

you can post images there i believe

[twilit adder]

thats not a math question though

and its not a math related img

[south arch]

lol, idk man sorry

what were you gonna post

[brave rune]

can someone help me out rq

i have a test thing for school and i have to make an excel sheet that calculates friction coefficients for a ladder with friction on both ends. I have all the numbers i need i just cant figure out the formula that allows me to get the force from the wall which is what i need to calculate the rest

[plain owl]

pretty sure wikipedia has that covered

or some quick deduction based on your material

[vagrant sluice]

I NEED HELP WITH FRACTION GRADE 9 MATH

YOU CALCULATE DIFF TYPES OF FRACTIONS IN DIFF TYPE OF WAY AND THE INTEGERS MESS YOU UP TOO IN TIMES

[fresh comet]

WHY ARE WE YELLING

[peak tide]

integers always messing people up

[vagrant sluice]

BECAUSE I NEED URGENT HELP I HAVE UPCOMING MATH TEST ON THE FRACTIONS

[peak tide]

next time don't wait until the last minute

[vagrant sluice]

i didnt know it will get complicating

MY BRAIN ISNT BRAINING WHEN IN TIMES AS OF SUBTRACTION I SUBTRACT AND GET THE WRONG ANSWER AND OTHER STUFF

[plain owl]

you do realize that people are significantly less likely to help you if you behave like this?

[vagrant sluice]

im frustrated you know

[final trail]

FOR REAL

[final trail]

Also what do you mean?

[vagrant sluice]

rationals

[flint jolt]

any1 know a good math joke

or idk

just spit some formulas so i can make one

just random stuff

[final trail]

I can’t think of any 😭 that are actually funny

[flint jolt]

same bro

i feel like there is some potential tho

[final trail]

So, can you give me an example problem?

[flint jolt]

like something with an ex girfriend

the ex being e^x

and the OP being naturla log

or something like that

[final trail]

There definitely is. Like there’s a kid in my math class named Conrad, so now some people call him Conradical

[vagrant sluice]

3 3/5 - (3 1/2 - 2 1/3)

[final trail]

And your issue is where?

[flint jolt]

how am i supposed to present this as a joke

[final trail]

Exactly, you can’t

[flint jolt]

lmfao

wait

thats genius

help me make an anti joke

[vagrant sluice]

wait lemme take a photo of it and also I dont understand how every other type rational is always calculated in diff ways and then the integers

[final trail]

Hmm??

[final trail]

M’kay

[flint jolt]

why did math do math because of answer but then make the actual joke be that it isnt funny

[final trail]

Ah, I see

[flint jolt]

yea, sry for the lack of punctuation

i can see that its a bit hard to read lmfao

[final trail]

Nah it’s fine, I understood it

[flint jolt]

ok so whats generally seen as funny in jokes

wait

let me reformulate

we need a joke template

[final trail]

Oh wait! I remember one from somewhere!

What do baby parabolas drink?

[flint jolt]

idk what

[final trail]

Quadratic formula

[flint jolt]

bro

im split

between dying of laughter

[final trail]

That’s all I’ve got 😭

[flint jolt]

and just not having any reaction at all

nono lmfao it was good

it was kinda funny actually

[final trail]

Oh okay ha ha!

[flint jolt]

i thought u were gonna say dilk

idk y

milk + d (discriminant)

[final trail]

Oh ha! No

[flint jolt]

why was seven scared of 9

wait other way

i hate that joke so much

i didnt even say it right

i give up lmoa

[final trail]

For real

[flint jolt]

WAIT

aw man nvm

i had something

then i lost it

but hear me out

i present the characters

then the say

yea cosine and i used to be together

but tbh

were kinda on and off

cus

1 to -1

whatever man

making jokes is hard

[final trail]

Yeah 😞

[flint jolt]

wheres the guy who was sending his hw

[final trail]

He warped to the complex plane instead, where math homework doesn’t exist

[flint jolt]

θ θ
----

im so bad at making jokes

how do u do this

[flint jolt]

tell me you secrets

[final trail]

I wasn’t trying to make a joke 😭!

[flint jolt]

oh

¨still funnier than anytong ive come up with

[final trail]

Ha ha, thanks!

[flint jolt]

np bro 😭

[visual cove]

I hate mathsjdkawodjankwdlkaw

[neat lintel]

quuen, we all do

[visual cove]

who doesn't right

[jagged forge]

@mathsjdkawodjankwdlkaw shes talking shit about u

[visual cove]

I actually use teacup/walmart bag pronouns /j

[visual cove]

That's offensive!1!

[jagged forge]

sadly we don't have a colored badge for those yet

[visual cove]

I know it's annoying!!

[neat lintel]

hey, i know this is a math channel, but is anyone able to give me some help understanding froth flotation?

this isn’t a math channel

math server* my bad

[neat lintel]

whats the definition of precalc

like what topics

[neat lintel]

#precalculus

ohh duh

[jagged forge]

imo precalculus is like

trig plus some basic limits and infinite series

[neat lintel]

oh ok

[jagged forge]

stuff to prepare you for calculus

[neat lintel]

just thought there was more to it lol

[jagged forge]

usually there's a couple more things but that's all i remember tbh

[neat lintel]

ok

[neat lintel]

precalc is just a waste of time

This newspaper article was created in the year 1923

https://cdn.discordapp.com/attachments/1017956141893951499/1208244926102376538/Cartoon_dynamo.jpg?ex=65e294c6&is=65d01fc6&hm=5bcf9ad7bfc5673bd7c64e25418eb859cddfef4c19d505fca2a4b8e2a10e9f6e&

[final trail]

💀….

[neat lintel]

https://tenor.com/view/cat-gif-26017314

[sullen ivy]

Smash.

[visual cove]

who ya smashing?

[sullen ivy]

Idk

[visual cove]

okay! ^^

[sullen ivy]

This server so smart

[visual cove]

This server is so smart*

[sullen ivy]

Nah

This server so smart

[visual cove]

ok I don't even care anymore I'm mad tired

[visual cove]

I cannot tell if that is sarcasm or not

[sullen ivy]

You should get some sleep

[visual cove]

nah I'll stay up a bit longer

[sullen ivy]

Alr

[sullen ivy]

Sleep is important though

[visual cove]

thanks for worrying about me though lmao

[sullen ivy]

Alr

Gn

[visual cove]

Nun night

[visual cove]

whoa this chat is dead still

[neat lintel]

just like me

[coarse cloak]

Yall know my freind used this server to chest in math test online then nobody in this server was active so he had to retake

[deep mango]

[pearl moth]

aw so terrible that nobody was available to help your "friend" commit academic dishonesty

[latent zodiac]

use homework helpers discord server next time

(i do not condone academic dishonesty)

[tacit magnet]

Disgusting

[coarse cloak]

Not me

[burnt ledge]

Okay. Your friend should get smarter

[latent zodiac]

yall relax not everyone no lifes math

[neat lintel]

Who asked?

[neat lintel]

It literally takes a couple of days or weeks to study a whole semester / year of math work. Bro is gonna grow up and not be able to help their fourth grader with homework

[latent zodiac]

i’m not defending him

plus 4th grade math has gotten hella hard as of recent

[plain owl]

that is complete bullshit

[solar hawk]

pre HS? definitely

pre college honestly

[robust brook]

is there a way to change themes in wolframalpha

[solar hawk]

idk

[plain owl]

that doesn't even enter my thoughts

[royal tangle]

wdym themes

[robust brook]

light mode hurts my eyes

[solar hawk]

i mean i assume thats what brandon meant

[robust brook]

i can't seem to find a way to change to dark mode

[solar hawk]

nobody is reading rudin in a cuple days

[royal tangle]

man look at this guy

not every website has a dedicated "dark mode theme" hidden in it

if its not there, its not there

[robust brook]

idk bud i've seen somebody with it

[royal tangle]

you instead should go google https://google.com/search?q=dark+reader

[plain owl]

there's probably a browser extension that can do it for you

[robust brook]

yea probably

[solar hawk]

that is prolly external

[royal tangle]

this is a browser extension that can put in a dark theme for you

[robust brook]

ok thanks guys

[carmine falcon]

This server is so smart

This server is so smart

This server is so smart

This server is so smart

[mystic compass]

hi

[neat lintel]

hi

[mystic compass]

do you want help

[neat lintel]

nope

[mystic compass]

how to find channel for help

[neat lintel]

#1021175428326633542

there're a bunch of people in need of help

[tranquil marlin]

#UnitedRight #LawandJustice

[proud olive]

That tv serie is so overrated

[wooden flax]

Putnam score table is so scuffed

scores are so high

29 is t500??

this was last years, for reference

[proud oriole]

😮

Just realized

HMMT happening rn

[jagged forge]

say this after you pass the ap calc test lol

[visual cove]

dead inside*

[visual cove]

see how the meaning changes

when you use italics

[vernal token]

Maybe Erdös

But it's definitely possible to read 10 pages a day very thoroughly

In like 8-12 hours

And if you continue like that, you could read 300 pages a month

That's insane

[solar hawk]

Say what

[solar hawk]

Yea yea ok

I could do it before I swear ong

I wouldn’t have moved on without cramming to past the test

[neat lintel]

Hell yeah brother. Make america great again #Trump2024-Forever

[visual cove]

Okay.

[neat lintel]

Okay.

[visual cove]

Okay buddy.

[wooden flax]

#rules

[neat lintel]

Okay pal.

[neat lintel]

who ghost pinged me

[static loom]

Joe

[neat lintel]

Joe who?

[static loom]

Joe Momma

[neat lintel]

If gravity was suddenly reversed would you fall towards the sky?

I know that right now everything that is touching the ground is accelerating upwards ( not downwards ) at a rate of approximately 9.8m/s

so if like gravity was to be reversed how would that affect your acceleration and position in space?

Would it just be like zero g instead of actually falling upwards

because once you stop touching the ground that 9.8m/s of upward acceleration goes away and cancels out the effect of reversed gravity?

[peak tide]

you are accelerating downward, not upward, otherwise you would not be rotating along with the earth

[neat lintel]

You're accelerating upwards. It just seems as you are going downwards due to the curvature of space

[peak tide]

ok then

[solid snow]

you're conflating two models

[neat lintel]

two models

So how would reversed gravity work in this model?

https://www.youtube.com/watch?v=nR9nE1TalZc

wait

A physicist should explain this

[jagged forge]

need someone who understands general relativity

i don't feel like it's strictly accurate to say you're not accelerating just because you're not following gravity th o

it just means you're not traveling along a spacetime geodesic

or something

[limpid sand]

You would be seemingly flung into space because there would be no friction holding you to the rotation of the earth

But you wouldnt accelerate upwards

The earth would just move away relative to you

[static loom]

the earth is constantly expanding like a balloon, that's the acceleration we feel

[neat lintel]

hi all

[static loom]

corollary: the earth cannot be curved, otherwise we would notice a change in curvature as the radius increases

[plain owl]

the planet would explode

[static loom]

ok but what if we also reversed the electric force simultaneously too

[proven knoll]

If gravity was reversed, then Newton’s Law of Gravitation would be contradicted

For gravity to be reversed, there must be some force that counteracts the earth’s gravitational pull

[static loom]

just make all masses repel each other

[swift sinew]

just plop a negative sign in there

[fresh comet]

what's the reasoning that lead you to ask this question though?

is it just a question asked for fun?

[solar path]

so we cant post files here anymore

?

[neat lintel]

must be in #chill

[solar path]

yeah its there in #chill but not here

[neat lintel]

yeah only psychopaths can post in discussion

[solar path]

oh

thats me

[neat lintel]

https://tenor.com/view/wrong-not-nope-gif-22294097

[wild plinth]

Let $A$ be adjacency matrix of connected graph, i.e. a $n\times n$ matrix whose entries are $0$ or $1$, and diagonal free. And $$Q:=[x y]\in\mathbb{R}^{n\times 2}$$ where $x:=[\cos\theta_1,\cdots,\cos\theta_n]^T\in\mathbb{R}^n$ and $y:=[\sin\theta_1,\cdots,\sin\theta_n]^T\in\mathbb{R}^n$.
Assume $$\text{ddiag}(AQQ^T)-A\circ QQ^T\succeq 0$$

My question is, why it implies the following inequality?

$$\langle\text{diag}(AQQ^T)-A\circ QQ^T,QQ^T\rangle=\langle A,QQ^T\rangle-\langle A,QQ^T\circ QQ^T\rangle\geq 0.$$

[solar path]

sorry i was in the wrong discussion group i should be in math discussion not here

[fathom swallow]

s?a

[wild plinth]

maybe this question first: Is $QQ^T$ positive semidefinite?

[fathom swallow]

s?a

[burnt kettle]

It doesn't make sense to "reverse" gravity, it means changing the geometry/curvature of spacetime.
Probably the closest thing might be if you imagine putting some supermassive object above your head and then you'd fall into that object

Since, falling with a """gravitational field""" corresponds to just moving in a stright line in spacetime

So you'd need to change the geometry to make that straight line be in a different direction

tl;dr gravity is literally just not a force in GR, so it doesn't even make sense to "reverse its direction"

[burnt kettle]

Yes, that's pretty much the definition of PSD since:

if you can express a matrix A = X^{T}X if and only if A is a PSD matrix

Since if A is PSD A^{T} is PSD we get your result

[river moon]

$\langle X,Y \rangle = tr(XY) = tr(XLL^\top) = tr(L^\top XL) \geq 0$ if $X,Y$ are symmetric positive semidefinite where the last inequality follows from positive semidefiniteness of $L^\top XL$, so the inner product of two symmetric positive definite matrices is non-negative

[fathom swallow]

Transparent Elemental

[wild plinth]

Thank you @burnt kettle @river moon , and why "if you can express a matrix A = X^{T}X if and only if A is a PSD matrix"?

[river moon]

if A = X^T X then it's positive definite by definition that z^TAz >= 0

the other direction is a bit harder to prove

[wild plinth]

$z^TAz=z^T X^T X z = (Xz)^T Xz$

[fathom swallow]

s?a

[wild plinth]

and this is nonnegative.

Thanks! @river moon

[indigo veldt]

can texit perform calculations?

like if I give it inputs and a formula can it give me the output

[surreal sapphire]

in theory yes, but not how you think

(la)tex is a typesetting language

[indigo veldt]

yeah but the bot also seems to offer other utilities
such as quering wolfram, basic calculations etc

I was wondering if it can perform more complex calculations for me

[surreal sapphire]

then sure?

wolframalpha can do quite a lot

but you can just use it in your web browser

[indigo veldt]

could you come over in #bots and show me how to make it calculate the area of a circle please?

[formal nimbus]

By what bots do u guys get help from (usually)

Is it bots as in apps or bots as in discord

[neat lintel]

just @quasi jetty

[formal nimbus]

Aight

[neat lintel]

and texit

but bot manages everything

[formal nimbus]

Thanks

Is there anyone besides bots that helps out to, particularly non bots (human)

[vocal vessel]

!help

[quasi jetty]

To ask for mathematics help on this server, please open your own help channel or help thread. See #❓how-to-get-help for instructions.

[neat lintel]

it isn’t math help

[neat lintel]

helpers role

[long rock]

Is there a precal tutor?

[neat lintel]

hi

okay i had TWO questions

first was, if you had any book recommendations about computer architechture

and the second, i was gonna send you 2 files for you to decide which one is more readable

forget about the 2nd one

@jagged forge dont get mad about ping

[jagged forge]

don't know if i have too many good sources for computer architecture, i've kind of learned about it from random places over time

but a classic is What Every Programmer Should Know About Memory

it might be a bit too technical for your level, so sorry if it's a bit overwhelming

[neat lintel]

thank you mark

[jagged forge]

this book also has some good sections on architecture though it's more oriented around performance optimization: https://en.algorithmica.org/hpc/

[eternal elbow]

https://docs.google.com/document/d/1vNSYFWIkZpOcqhk9bwq9a7WHmScE19FK3OFrrshXvs0/edit?usp=sharing
Linear Type theory.
im trying to be minimal in this.
Struct is usefull for deep inference, i took it from the calculus of structures.
also Struct_x T is identical to saying Type T

[alpine comet]

there's always the Bible

[flint jolt]

lmfao

[alpine comet]

Computer Systems: A Programmer's Perspective by Randal Bryant and David O'Hallaron

[flint jolt]

i take that back

i thought u meant the literal bible 😭

[alpine comet]

literally all major unis base their course on it

[alpine comet]

when it comes to some topics, there are always books that I refer to as the Bible

[ocean pewter]

https://www.desmos.com/calculator/i42c7uxxbt i made this cool standing wave desmos graph

[neat lintel]

[neat lintel]

ty

[neat lintel]

Can someone explain to me why this calculator is more expensive than my laptop?

https://www.amazon.com/Texas-Instruments-TI-86-Graphing-Calculator/dp/B00000JF53

[plain owl]

economies of scale being bad + high demand due to being forced to use these I'd assume

laptops have insane scaling

[deep mango]

TI monopoly desparately needs to die

Also my phone tried to autocorrect monopoly to Monopoly, are you fuckin kidding me

[plain owl]

don't you know that you always need to capitalize greek words

[tepid stag]

do you have a chromebook or something

[neat lintel]

https://www.amazon.com/dp/B09YYXTPZC This, was cheaper when i bought it only $200

It's great. Kinda laggy when playing Emulated PS3 games on it tho

[solar hawk]

lol wtf why is it so expensive

and it doesnt ecven look that giood

deosnt look color or nsthn

and the buttons look ugly too

https://www.amazon.com/TI-84-Plus-Color-Graphing-Calculator/dp/B01NC0GADQ

i liek this one

[tepid marlin]

Monopoly in action

It’s actually crazy how TI created a monopoly, even though they were late to the industry, by influencing teachers to basically design courses around TI calculators, along with lobbying groups…

[ashen mica]

nerds

yall nerds

☝️🤓

[neat lintel]

https://tenor.com/view/luna-cat-crunchy-cat-glasses-cat-luna-glasses-cat-gif-12732289841207803174

[ashen mica]

🤓☝️ zoinks

[chrome karma]

errm aczually

[bright hill]

better than how my phone always autocorrects its to it's

[lyric sonnet]

is this relevant in 2024

[wild plinth]

hi. We know that $\max{f(x),g(x)} = \frac{f(x)+g(x)+|f(x)-g(x)||}{2}$, how about $\max{f_1(x),f_2(x),f_3(x),f_4(x)$?

[fathom swallow]

s?a
Compile Error! Click the reaction for more information.
(You may edit your message to recompile.)

[shrewd ledge]

Hello guys

[wild plinth]

hi. We know that $\max{f(x),g(x)} = \frac{f(x)+g(x)+|f(x)-g(x)|}{2}$, how about $\max{f_1(x),f_2(x),f_3(x),f_4(x)}$?

[fathom swallow]

s?a

[surreal sapphire]

apply inductively

max (a, b, c) = max(max(a, b), c) etc

next time see #❓how-to-get-help

[wild plinth]

Is it true that $\max{f_1,f_2,f_3,f_4}=\max\big{\max{f_1,f_2},\max{f_3,f_4}\big}=\max\big{\frac{f_1+f_2+|f_1-f_2|}{2},\frac{f_3+f_4+|f_3-f_4|}{2}\big}=\frac{\frac{f_1+f_2+|f_1-f_2|}{2}+\frac{f_3+f_4+|f_3-f_4|}{2}+\big|\frac{f_1+f_2+|f_1-f_2|}{2}-\frac{f_3+f_4+|f_3-f_4|}{2}\big|}{2}$?

[fathom swallow]

s?a

[wild plinth]

got it!

[jagged forge]

main memory is still 100 times slower than l1 cache so yeah

i think they mention hdd’s though, which is a bit outdated since nowadays nvme is so common (but hdd still have their use) and so much faster than hdd

[robust brook]

is there a way to substitute values in wolframalpha

or do you have to change the variables manually

[surreal sapphire]

"where x = whatever"

[robust brook]

👍

[neat lintel]

gm

[neat lintel]

dead chat

[zealous stone]

Is there an actual nice form for max a_n to apply induction to?

When I put it into wolfram alpha all I got were a bunch of complicated non-symmetric expressions

[surreal sapphire]

why do you want to replace what is a simple if with complicated arithmetic in the first place...

[zealous stone]

If you're doing induction you should have a form dependent on n to apply induction to

[zealous stone]

I'm trying to do the opposite

[surreal sapphire]

n is the number of inputs

[zealous stone]

You said apply induction so you have a formula in mind right?

[surreal sapphire]

the induction is simply noticing that max(a_1, ..., a_n) = max(max(a_1, a_2), ..., a_n)

the person who asked presented a formula

[zealous stone]

Oh

[surreal sapphire]

induction is used to reduce the case of n inputs to the case of 2 inputs

[zealous stone]

I wouldn't really call that induction though...

That's my bad

[surreal sapphire]

well, it is

though maybe "recursively apply" is the better wording

[zealous stone]

Strictly speaking, it's not induction (what would P(n)=>P(n+1) be?). If you mean to prove max(a_1, ..., a_n) = max(max(a_1, a_2), ..., a_n) with induction, then that's a separate problem from the original question

I agree recursively apply the formula makes more sense

[surreal sapphire]

thats the key point the asker was missing though

[zealous stone]

Yea, I was just confused as someone outside reading over it

[fresh comet]

gm? it was the afternoon when you posted this lol

good afternoon though

[jagged forge]

,ti vydrakko

[fathom swallow]

The current time for vydrakko is 02:37 PM (EST) on Mon, 19/02/2024.

[jagged forge]

caught in 4k

[neat lintel]

https://media.discordapp.net/attachments/907892819207815263/955321291538325515/caption.gif

[twin ermine]

Hello, I am not sure if this is the best place but I guess everyone here has come across this problem and found their own solution to it
What do you all do for literature review? What did you find the most effective way for tracking and reviewing papers?
I am looking for something that's free, works across platforms (also available on web), no memory limit
Or any workaround the limitations of freeware

[surreal sapphire]

not sure what you mean by reviewing, but i use zotero

[neat lintel]

How to make learning fun?

[tepid marlin]

Not possible, sorry.

[neat lintel]

do it for pure good

[final trail]

Sorry?

[tender tulip]

I am disappointed

[neat lintel]

Fun and learning in the same sentence

How do you do it?

How to stop playing games when bored

and learn instead

[latent zodiac]

learn something interesting

so you never feel like ur working

[lavish atlas]

you do have to have a genuine interests in whatever you want to learn about but I've found that you can build the genuine interests after taking a chance on learning something you think might not be so interesting in the first place @neat lintel

[lyric scarab]

[river tulip]

Well if you are looking for fun then you should just approach it in a systematic way

Pick a topic and divide it into subcategories then go through them category by category

[river moon]

like operating systems

[river tulip]

Just do this with anything you find overwhelming

[final trail]

Like math!

[lavish atlas]

id agree if i knew how those worked

maybe

[latent zodiac]

yessir 🔥🔥🔥

[shut sapphire]

hey anyone know a list of undergrad math comps?

[latent zodiac]

putnam comes to mind. most unis have their own, closed competitions tho

[shut sapphire]

oof

yeah heard of putnam but so far away

i miss math comp so much

[latent zodiac]

man im not an undergead im just givin my two cents

maybe somethin here will be good for you

https://artofproblemsolving.com/community/c15_undergraduate_contests
https://www.imc-math.org.uk/
https://www.comap.com/contests/mcm-icm
https://amatyc.org/

[neat lintel]

College? Did you ask the people in your math club?

[neat lintel]

nothing is interesting anymore

or i'm too poor for interesting things

[latent zodiac]

no such thing as too poor 🏴‍☠️ 🏴‍☠️ 🏴‍☠️