serious-discussion

[sturdy gulch]

my method was literally just merging everything until i got one variable to equal some combination of the other two variables divided by a constant (so like x = (x+y-2)(x+y)/6 for example) which means either (x+y-2) is some multiple of 6 or (x+y) is some multiple of 6, and then solved for x as some function of one integer by substituting one of those as 6n or smth

which might be the reason why it took me so long but uhhhhhhh 💀

[static loom]

ah that's not true though

6 doesn't have to divide one or the other, you could have, say (x+y-2) is a multiple of 2 and (x+y) is a multiple of 3

[sturdy gulch]

i mean listen
It worked

i

will see if i missed any solutions tho

probably 😭

[static loom]

did you get any solutions?

[sturdy gulch]

i got an infinite amount of them yeah

not up to 10^6

just in general

[static loom]

what's one

[sturdy gulch]

(441,529)

[static loom]

,w (441+529)/2 = 2sqrt(441529)

[fathom swallow]

Results provided by WolframAlpha

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

Requested by merosity

[strong gorge]

in general there are infinite ye

[sturdy gulch]

its not times two its plus two

[strong gorge]

2 + geometric mean

[sturdy gulch]

on the right

[static loom]

ah I worked the wrong problem

[sturdy gulch]

damn

[static loom]

haha well I only took 30 seconds to get the wrong answer so nothing lost

[sturdy gulch]

you may have been right FUCK

okay im gonna need to adjust that

okay it's fine that wasnt the hard part so im just gonna backpedal there then 😭

[sturdy gulch]

yeah setting one of the factors to a multiple of 4 did in fact give me like.. double the solutions

maybe more idfk i didnt count 😭

[static loom]

alright just got to working it again correctly this time lol. I solved for x as a quadratic with coefficients containing y and got, $x=y+4 \pm \sqrt{y}$. Only way we can have this is if $y=n^2$, so $(n^2+4 \pm n, n^2)$ and then start checking what's in the bounds which shouldn't be too hard hopefully from looking at what y is.

[fathom swallow]

Merosity

[sturdy gulch]

i've got

five parametrizations coordinate thingies

and they most definitely overlap

but the question is how much

[sturdy gulch]

wait holy shit that sounds like so much of an easier method 💀

[sturdy gulch]

i could be plugging it in wrong but it's not producing any solutions

okay so i have an updated solution 😭

you may have been correct

unless i messed up some other way

well that's a funny pattern

they're all pretty paired

[static loom]

https://www.desmos.com/calculator/16gnzstycd

[sturdy gulch]

how did i sell so horribly

well at least i have an answer now 💀

[static loom]

haha don't sweat it I blundered pretty hard earlier too

[sturdy gulch]

this is the shit i did 😭

https://www.desmos.com/calculator/ri6gmdpila

at some point i managed to get the equation into $x=\frac{(x-y)(x-y+8)}{16} +1$

[fathom swallow]

Serphic

[sturdy gulch]

and then did the whole divides 16 thing

but

then had to do it for when one of them is equal to a multiple of 2 or 8 or 4 and

that was "fun"

aaand my conclusion was still wrong i said there was 1000 and not 999

[static loom]

I think it's good to just roll up your sleeves though and dig in

many people get stuck in analysis paralysis and try nothing and are all out of ideas lol

[sturdy gulch]

no but what's annoying me the most is that I actually tried to do a quadratic with x and y but i actually somehow messed setting it up so i thought it just didnt work 😭

[granite crag]

for x in range(1, 10 ** 6):
    for y in range(x + 1, 10 ** 6):
        if (x + y - 4) ** 2 == 4*x*y:
            count += 1
print(count)```

all you need

it's a bit slow might need to let it run overnight

4 16
9 25
16 36
25 49
36 64
49 81
64 100
81 121
100 144
121 169
144 196
169 225
196 256
225 289
256 324
289 361
324 400
361 441```

wait x is always square lol

x is all the squares in fact, so long as the corresponding y is within the upper bound

    count = 0
    for x in range(1, 10 ** 3):
        x = x*x
        for y in range(x + 1, 10 ** 6):
            if (x + y - 4) ** 2 == 4*x*y:
                print(x, y)
                count += 1
    print(count)

if __name__ == '__main__':
    main()```

yeah x = n^2 and y = (n + 2)^2

count is 997

[granite crag]

( \sqrt{n^2(n+2)^2} + 2
=n(n+2) + 2
=n^2 + 2n + 2
=\tfrac{1}{2}(2n^2 + 4n + 4) \
=\tfrac{1}{2}(n^2 + n^2 + 4n + 4)
=\tfrac{1}{2}(n^2 + (n + 2)^2 )
=\tfrac{n^2 + (n + 2)^2}{2} )

[fathom swallow]

Just Pick Up A Book

[granite crag]

It's pretty easy to show all pairs of this form work, now you just need to show that these pairs are the only solutions.

[strong gorge]

[strong gorge]

ths is all that is necessary

[granite crag]

I think you also have to show that there's at most one x for any given y but that should be fairly easy

[pearl eagle]

Wait the khan academy SAT prep only has 5 units? Cuz all the other units after that has the same content.

[neat lintel]

Lucky

[quaint cipher]

How to make this angle appear like a straight line?

[solar hawk]

Doesn’t look like Desmos but you can try y = theta

Hi josemom2

[main elbow]

arg(z) = theta perhaps

or y = tan(theta) x if you want a line rather than a ray

[neat lintel]

It's geogebra

It also works on desmos
But you need to choose any other variable than x

[glad wagon]

hey clown

[haughty loom]

@timid bronze will girl girlevent still happen????

[long matrix]

girlwhat

[true zinc]

girlevent

[static loom]

not to be confused with the Lexus December to Remember Sales Event

[true zinc]

LMAO

[timid bronze]

I dont think ppl were serious about dat ..

[sleek gull]

@shrewd loom What GCSEs do you take?

[shrewd loom]

im doing cs, design tech, maths, further maths, all three sciences, spanish, geography and both englishes

[sleek gull]

Oh ok. You take AQA for most of them?

[shrewd loom]

ye

[sleek gull]

Nice so do I

I just dont do DT, further maths, spanish, or Geography. Instead History

You should add me Duck. We could share some GCSE resources (I got a lot)

[shrewd loom]

i can't add ppl from mathcord, my parents wont allow me to add or dm ppl idk irl

[sleek gull]

Ah ok

[long matrix]

will they tell you off if you make a server with one other person in it

[shrewd loom]

why are you wging me for following my parents rules...

[long matrix]

what if a mathematics mod wands to contact you because you were bad

[long matrix]

im just emoting . . .

[shrewd loom]

ping me in the server

[shrewd loom]

https://tenor.com/view/happy-to-sad-face-silly-sad-mood-switch-computer-gif-1609533414975318099

[long matrix]

and expose your misdeeds to all

[shrewd loom]

ye

[haughty loom]

sad

[quiet geode]

https://imgur.com/a/E4K7XEE https://imgur.com/a/nCzv1oC https://imgur.com/a/gySbq6a

NOOOOOOOOO

EMBEDS ☹️

[heavy bridge]

what is a primitve root

[ocean harbor]

https://tenor.com/view/depressed-cat-no-image-perms-epic-embed-fail-embed-fail-sad-cat-gif-26373580

[dense belfry]

omg is that meaty chonker?

[leaden torrent]

different meaty

trust me we discussed this when they joined lmao

[fresh comet]

I do wonder what happened to the old one

[leaden torrent]

the fucking air raid sirens went off

[leaden torrent]

[fresh comet]

I see, b&

[deep mango]

wouldnt they already be mad at duck for being bad

[quiet geode]

meaty umm

animal vegetable

[quiet geode]

negative

[ember lance]

They eat roos here! I thought it'd be a protected species or smth
Trigger warning hamburger meat

[agile fiber]

all of the species have large and widespread populations

[neat lintel]

they’re edible?

[vivid halo]

yeah of course

lmfao

[neat lintel]

lol

wait you can eat alligator too wtf

[vivid halo]

you can eat most things lol

[ember lance]

Reminds me of the willy wonka scene on edibility lol

https://www.youtube.com/watch?v=FOfmfzK12-Q

But afaik eating apex predators is not good because of accumulation of toxins as you climb a food chain

[raven plaza]

Fox is not edible

This is because fox muscle contains glands that naturally produce cyanide

[eternal crow]

don't they eat fox in mongolia

[solid yarrow]

Fr?

[raven plaza]

It's true, just ask sqeral

[solid yarrow]

@lapis hull pls respond :3

[lapis hull]

Indeed

Arki speaks the truth

[solid yarrow]

I never knew this

Weird... I can't find anything regarding this.

[burnt dune]

quickie

what does it mean exactly to glue two mobius strips by the identity map along their boundaries

so we are identifying the boundary of the first mobius band with the other?

[raven plaza]

Yes

[burnt dune]

in general "glue along f" means we have two copies of the spaces and we are identifying x with its image correct?

can u give examples of this in like context of CW complexes

everytime i think i got it i just realize that i don't lmao

[raven plaza]

Given an inclusion A ⊂ X and some f: A → Y you can define the attachment by taking disjoint union X + Y and quotienting by x = f(x)

(if f is not injective some of the points in A may be glued together)

If A ⊂ X is a CW subcomplex, Y is a CW complex, and f is a cellular map then the attachment is also a CW complex (iirc)

[burnt dune]

yeah

ig i meant like how to visualize this hsit

shit

[raven plaza]

You take the spaces X and Y

Then glue X onto Y along f: A → Y

[burnt dune]

😄

[raven plaza]

Rip idk how else to explain

[burnt dune]

can u draw or is that unvailable fo u

for u

rn

[raven plaza]

Like say you have a finite length cylinder X, one of its circular bases A, and a square Y

And you have a map f: A → Y mapping to a circle in the square

Then the attachment is a hat

Without the ropes

[burnt dune]

so u glued x with f(x); f(x) being a point in the square and x being a point in the upper circular base

correct?

and u just glued every point on the circular base with everypoint on f

is that right

[deep mango]

mapping cone

oh mapping cylinder

whatever

[raven plaza]

Yes

[burnt dune]

yeah got it

so basically gluing along f just means the quotient space identifying every point with it's image

[raven plaza]

Yup

[burnt dune]

so an n-cell is obtained by gluing an n-1 cell along the boundary

of f

correct?

no

an n skeleton is obtained by gluing an n-1 skeleton with an n cell along the boundary of f

is that correct

[raven plaza]

Yup

[burnt dune]

got it

tysm geometry king

yeah im going to be in #alg-top-geo-top for a long time

consturcting explicit homotopies is literally

insane

[burnt dune]

@raven plaza sorry for the ping, can u check out #alg-top-geo-top these ar the kind of problems i face

[high gorge]

hadooken

[quaint cipher]

does this look like diff at the origin?

[raven plaza]

No

It looks like an X

[vivid halo]

this is definitely not differentiable at the origin

nor is there any reasonable way to extend the domain of the derivative to x=0

[proud olive]

Looks like that if you evaluated the derivative at epsilon and then let epsilon go towards zero you'd get something that blows up

[honest garnet]

YEEE FR

[quaint cipher]

What's this notation?

[vivid halo]

it's a shorthand for partial derivatives

people sometimes write like f_x for df/dx

[neat lintel]

Hey @agile fiber (sorry for the unsolicited ping by the way, you can just ignore this if you don't wish to answer), but I wanted to ask you something about the PN junction as you seem to be pretty knowledgeable in that regards

When considering a PN junction in reverse bias or in equilibrium, the whole semiconducting material counts as a variable capacitor which has a variable capacitance, but im confused in the sense that if the immobile charge carriers (the ionised acceptor and donor atoms) are the ones forming the depletion zone (aka the "dielectric"), then what actually is being "built up" on this capacitor's "plates"? is it the mobile holes and electrons? the immobile ions still? a bit confused here

[neat lintel]

well yes but what is q_j? the ions in the middle? the electrons (blue) and holes (pink)?

im guessing its the latter because as the absolute voltage increases the amount of charge decreases as more holes and electrons get sucked into the voltage source, and the capacitor "widens"

[agile fiber]

the charge we consider is due to the ions in the middle

[neat lintel]

How contradictory. This professor im watching is saying something different

[neat lintel]

https://youtu.be/6UNezo_GByE?si=Qee8Z0sHacjw14-0 check out 53:50 to 54:40. Is what he is saying correct? I mean it sure seems like the non-depleted regions are what he is referring to as "plates with charge"

[agile fiber]

well we think of the "plate separation of the capacitor" as being the width of the region

[neat lintel]

yes, no disagreement on that

[hard cairn]

.

[stone ferry]

As you should.

[abstract rampart]

What is vector projection used for?

[neon garnet]

6 hour slowmode

[fresh comet]

one day

[light horizon]

[agile fiber]

projecting a vector onto another vector can be used to write vectors in terms an alternative [orthogonal] coordinate system. it can also be extended to projecting vectors onto subspaces, which has many uses, including, e.g. least-squares regression

[light horizon]

I got 6 hour slowmoded by nami

Literally 1984

[neon garnet]

well, i'm glad i went out celebrating ally's win. she deserved that highk. i hope she feels better after tn c:

[leaden torrent]

bullseye

[timid bronze]

ur so cute 😭

[leaden torrent]

i only meant to hit 1 person tho

[timid bronze]

Fr

[fresh comet]

so how many people were hit?

[leaden torrent]

i got more than i bargained for

4 i think

[fresh comet]

Artichoke, Cleo, ally?

[timid bronze]

NAMI KILL COUNT: 4

[timid bronze]

Cant u technically mute them for 6 hours

That wouldve not messed with innocents!!

[leaden torrent]

no i wanted to mess with innocents

[hardy iron]

6 hours slowmode is equivalent to muting someone for 6 hours in a single channel

[timid bronze]

Wow..

[leaden torrent]

but like

only one innocent

[fresh comet]

#discussion message

this is not true btw

if you take off slowmode entirely, then all the cooldowns reset

[leaden torrent]

oh really

youre saying i could free you

hmmmmmm

[fresh comet]

indeed, that is what rat did last time

[leaden torrent]

nah

[light horizon]

I'm freeeee

[hardy iron]

What’s the shortest slowmode one could set?

I’ve seen 1 second slowmode

[leaden torrent]

1 second it seems

i tried decimal values but it doesnt accept them

the interface is really weird

[timid bronze]

Free us!

[hardy iron]

I see

[light horizon]

5 seconds it seems

[leaden torrent]

it gives some predefined values but you can type in a custom amount

like "1 second"

[light horizon]

Oh I didn't know that

I'll have to try that later

[leaden torrent]

but it seems 0.5 seconds doesnt work

[fresh comet]

wait so who got 6 hr slowmoded

[timid bronze]

im pretty sure ur gonna have to off it

[fresh comet]

who's the last one?

[timid bronze]

for it to free us

I did

[light horizon]

Me, cleo, idk who else

[fresh comet]

ally too, apparently

[light horizon]

Yeah he freed us

[fresh comet]

but there's one more?

[timid bronze]

FREE ME @leaden torrent

DONT TELL ME IM THE INNOCENT PLS.

[leaden torrent]

i think i did

[neon garnet]

wait i'm still slowmoded

[timid bronze]

😔

[leaden torrent]

i turned it off

hrmmmmmmmmmmm

[timid bronze]

i still have slow modeeee

[fresh comet]

slow mode was just turned off

wait a couple mins and let's see

[timid bronze]

IM FREE

[fresh comet]

[fresh comet]

@abstract rampart I'm gonna bump this for you since it got drowned out from everything else

[abstract rampart]

Ty

[agile fiber]

you can also think of calculating fourier series coefficients as a type of vector projection

[abstract rampart]

If I want an orthogonal vector can't I just use cross product?

[agile fiber]

the cross product is only defined in R^3

in any case the point is that you can use vector projections to change coordinate systems if the basis vectors are orthogonal

[abstract rampart]

Ok tysm bro

I'm very interested in the application of math in things

[jagged forge]

it was @native oriole

i'm sad that that might never happen again

cuz

it was funny

oh come on now don't cry

[timid bronze]

stop bullying my sister

Shoo suremark.

[jagged forge]

it was... u know... a practical joke

ok u know what that's ur fault for choosing bio

uh

i thought you were sick because you saw organs or smth

idk

i skimmed the chat

[timid bronze]

What

[timid bronze]

This made me giggle

[jagged forge]

i see

you go girl

[timid bronze]

Hyzae can i make you soup

:3

Which one do u like

I make u lentil

[jagged forge]

amazing, a vegetable hyzae likes

lentils are good tho

[timid bronze]

i dont like lentils tbh

rightt

swallowing

sleeping is worse

[jagged forge]

lol

[timid bronze]

i cant sleep when i have a sore throat or clogged nose

[jagged forge]

i should have known

isn't it like your first day at uni

[timid bronze]

Healthy is balance love

[jagged forge]

sounds like you're having a rough start ngl

[timid bronze]

Have foods high in value and also foods that make you happy

oh

[jaunty ibex]

Sounds like @latent edge

[timid bronze]

well college is a time of experimenting, u can try learning in the kitchen

[latent edge]

I hyperfocus too much and forget to eat yeah

[timid bronze]

Uhh

I like anki

yea one sec

[jaunty ibex]

one time deltoid was without food for like

2 days

Hyperfocused on math

yea it is

[jagged forge]

going to the library in between classes

[timid bronze]

i use this to study for chem

[latent edge]

what classes?

[timid bronze]

same

[strong gorge]

food diminishes your number theory skills

[timid bronze]

i cant focus in my dorm

[latent edge]

not mine

oh yikes

hmm

for biology I find it helpful to understand the material first

[timid bronze]

drawing diagrams, labeling them
using anki to help with memorization
taking practice tests
try to act like ur teaching a class

[latent edge]

understanding the material is already 80% of mastering the content

[jagged forge]

well other than assignments and reading, i guess there's sitting and scanning your notes before a test
although you might have to use more techniques for memorization since your major is more heavy on that than mine waas

[latent edge]

all what u have to do is dig deeper

please for god sake dont just raw memorize it's fucking bad

rote is bad

[vast wraith]

twinning

[latent edge]

u cant believe the percentage of premeds in my bio final exam cheating

[fresh comet]

whenever I lock in, I forget to eat for the entire day

[latent edge]

everyone was freaking out and cheating

holy shit

[timid bronze]

me whos trying to memorize the unit circle rn instead of understanding it

[latent edge]

bad

sure it can help you (somewhat) for exams and midterms whatever but for the long run you are just destroying yourself

[strong gorge]

whenever I eat, I forget to lock in for the entire day 😔

[timid bronze]

Lets see if i can do it

[latent edge]

ok bio out of the way

hyzae do u have physics classes?

so mostly bio/chem?

damn that's interesting af

I would lock in for hours studying these topics

without getting bored

[vast wraith]

it’s soon 6 am and i haven’t slept; the sore throat from yesterday is mostly gone but the clogged nose is still there and no fun

[neon garnet]

!

i did it c:

[jaunty ibex]

lmfao kinda rare coming from u

[latent edge]

no srsly

[solar star]

Guys has anyone here done Calculus of Variations?

[latent edge]

physiology is amazing

[latent edge]

yes

[solar star]

Can you advise me on something

[latent edge]

practice

[neon garnet]

my dietician would have a conniption highk

[fresh comet]

[neon garnet]

(did i spell that right? lol)

[fresh comet]

you did!

[latent edge]

pretty much yeah

[solar star]

Ok well I'm a high school student and I'm studying calculus of variations as a hobby because I have already studied almost everything that's in the curriculum

[latent edge]

unfortunately my degree had none of what you study

[solar star]

I have studied functionals and the Euler LaGrange equation

What should I study next?

[latent edge]

dry science courses

they were like a filter for students to drop out

extremely boring

a lot of irrelevant chemistry shit

[strong gorge]

ah, climate science courses with a focus on aridity

[latent edge]

tfw biochem was in my 4th year

[strong gorge]

wild

[latent edge]

the chem advisors were actual karens

just one year

I looked at seniors and I was like "lol nope fuck that im not gonna do the premed shit"

[timid bronze]

Yeah i gave up after 180 cant do mental math anymore

[latent edge]

yeah

but the jump from premed to med school is gambling

4 years + some stuff

competitive af

yea i wanted something realistic

i dont want to gamble for my life

yea

based

[jagged forge]

premed + med + residency

[jaunty ibex]

damn it's really rough

i do see a lot of premeds quitting after finishing like 2 degrees science related

Then switch to cs or engineering

cuz it's just fucked up

[jagged forge]

i'm not sure if i remembered it right but i think someone told me residency was invented by some guy who was always on cocaine
and hence people doing residency work like 80 hours a week for crappy pay

[latent edge]

idk

this premed system is trash

it aint doing anything in my honest opinion

premeds in my uni are literally trying their best methods to cheat

[jagged forge]

on the other hand why do mathematicians do 2.3 postdocs

[latent edge]

just to get that 4.0 GPA or whatever and still get rejected

gambling

[jagged forge]

4.0 gpa isn't that good anymore

[latent edge]

it's like winning a lottery

yea pretty much

[jaunty ibex]

deltoid was playing on hard mode

I'm so sorry that happened

[latent edge]

im glad i switched lol

internship hell

[strong gorge]

internships

[latent edge]

programming

I had an interview last week

bro asked me a hard technical problem for a $20/hr job

it went well

dont ask me how

then they sent an email

"we removed the position"

[timid bronze]

☠️

straight to the point

[strong gorge]

wtf??

[timid bronze]

but thats sad

[timid bronze]

wtf

[jagged forge]

what do u want me to say
u get a gold star? lol

for the record my gpa was like 3.0

[timid bronze]

what, i was just saying straight to the point about reality

like it hits hard

not making fun of ur statement

[jagged forge]

yeah

good luck hyzae

[sleek pagoda]

What channel would this question belong in:

"Not sure if this belongs here, but
https://www.youtube.com/watch?v=EmKQsSDlaa4

In the end of the video, he shows what the hologram looks like when flipped around. Is this related to non-euclidean geometry, or just some weird effect?"

[vast wraith]

take care hyzae

[latent edge]

Getting locked in a mental asylum
solve this absurdly stupidly hard question
I pass
sorry we removed the position

[timid bronze]

have a good day

[sleek pagoda]

I put it in diff-geo

But I don't think it goes there

[jagged forge]

i would just post in #math-discussion

[sleek pagoda]

Alright thanks

[jaunty ibex]

@latent edge u told me ur sis is doing premed right

[latent edge]

i can see her switching

[jaunty ibex]

classic

@timid bronze ur premed?

or was it clau

idk anymore lmao

[timid bronze]

oh hell no

[jaunty ibex]

Good girl

[timid bronze]

neuroscience

shes not premed

[timid bronze]

and im undecided btw

[jaunty ibex]

Sounds like premed

[timid bronze]

Wait true i lied

Same thing oops.

[latent edge]

neuroscience is like the goto degree here for premed

cuz easy to cheat

[timid bronze]

how r ppl even cheating

im curious

[latent edge]

you'd be surprised lmao

[timid bronze]

like what do they do to cheat

im nearsighted so i cant see ppl do from afar 😫

[fresh comet]

ah, pre-med talk?

[latent edge]

most of the exam classes are online

[fresh comet]

[timid bronze]

oh

[fresh comet]

I have a couple friends on the pre-med track

[timid bronze]

not proctored?

[latent edge]

lab exams are also online

[fresh comet]

it's uhh... not great

[timid bronze]

now wtf is a lab exam.

[latent edge]

smh

dont u do bio labs?

[timid bronze]

chem labs but

Havent had an EXAM ?

[latent edge]

after the end of all labs you do a comprehensive exam for the labs

[timid bronze]

.

Thats a report

Not exam.

[latent edge]

for chem labs I had to do a 10 pages exam in 5 minutes before doing the actual lab

[timid bronze]

ehat

WHAT

[latent edge]

each time the average was like

10%

gg

[timid bronze]

I DONT HAVE TO DO THAT?

[latent edge]

if u ask the lab proctor to give more marks she gets karen and gives u 0

good luck getting into med school : )

[timid bronze]

Well im taking an intro gen course bc i was warned how the next chem after is super difficult. im taking the next one after tho

[timid bronze]

that was personal

yea but thank u for ur experience sharing tbh

its nice to get brutal honesty

i hate shit being sugarcoated

[jaunty ibex]

ngl i love deltoid for this reason

Just straight up goes to the point

[fresh comet]

[timid bronze]

im still getting used to the extensive studying

its still hard for me

[fresh comet]

oh dw, I still can't study properly

[jaunty ibex]

what are ur plans ally

[fresh comet]

I'm actually a terrible student ngl

[jaunty ibex]

After graduation

[timid bronze]

well hard to say bc idk what i wanna major in ..

But stay w my parents ig work for couple years to pay off university then move out

[vast wraith]

same, which is pretty bad as i’ve started grad school and desperately need to pick up the pace

[jaunty ibex]

tbh seeing how much my bf struggles with the internship politics, if he goes out somewhere other than us/canada, I can see him locking in to math or medicine

[vast wraith]

[timid bronze]

me too

[jaunty ibex]

yea rodbet is grad student

[vast wraith]

for a masters yeah, started this semester

[timid bronze]

wait so

phd is also grad school

[jaunty ibex]

yea

[timid bronze]

Ohh

[vast wraith]

mhm

or the system in europe is sometimes a little different

[latent edge]

sorry if i made this discussion really dark and depressing

[timid bronze]

u didnt

[jaunty ibex]

no its ok it's good to let stuff out sometimes

[timid bronze]

u were brutally honest

[jaunty ibex]

and share experience

[timid bronze]

i respect that lol

better to not be naive of todays reality

[latent edge]

you need a "eat or get eater" mentality

[timid bronze]

that gives cannibalism

pls elaborate

[vast wraith]

in the US i gather that the early years of phd grad school is effectively the same as a masters in europe, while in europe much fewer people take the step from masters to phd (which has less “school” about it…)

[latent edge]

no

metaphorically

[timid bronze]

00000

[latent edge]

basically if u dont advocate for yourself, people will take advantage of u and destroy u

[timid bronze]

sjhkfkjhsfdjhkhjdfhjksdf

sorry cleaning my keyboard

[timid bronze]

true

[vast wraith]

mmmm capitalism

[jaunty ibex]

there are 4 moods of deltoid

1. Silly deltoid
2. Math deltoid
3. Romantic deltoid
4. This deltoid

idk should i call it

Brutally honest deltoid

[latent edge]

btw the thingy u told me about ur uni

ngl that's really sad

is that what capitalism does to a mf

[vast wraith]

which one was that, the ml thing?

[latent edge]

tfw ur uni had selberg, brun and so many others

and no actual number theory course

[vast wraith]

ah yes

[fresh comet]

hasn't happened to me yet, but ig that's a bad sign

I dunno how to advocate for myself

[latent edge]

takes time

[fresh comet]

I should figure this out before it becomes a major problem

[latent edge]

u will get destroyed at the start

but u will do it eventually

:3

[fresh comet]

we hope

[jaunty ibex]

I'm sorry WHAT

Oslo?

WHAT THE FUCK AM I HEARING?

[vast wraith]

[latent edge]

yeah according to rodbet, they replaced with ml stuff

[jaunty ibex]

XJDJRHRIDJRNDXKDLSKDNDMFJD

WHAT

[fresh comet]

rodbet is getting robbed

[vast wraith]

well that was more recent

[jaunty ibex]

DUDE ITS SELBERG

[vast wraith]

the nt culture seems to have been gone from here for quite some time

[jaunty ibex]

That's really sad

[vast wraith]

indeed

[jaunty ibex]

I guess really the way to succeed nowadays is not relying on institutions

Just go raw self studying

[vast wraith]

hmm

[latent edge]

analytic NT self study is peak

[timid bronze]

go to sleep kids

or ur gonna be sleep deprived today

[latent edge]

I can't sleep

[timid bronze]

ehy

why

[latent edge]

I'm sleep deprived either way

Insomnia

[timid bronze]

:(

[latent edge]

I would probably have a better time if someone was sleeping with me ngl

I find it helpful

[strong gorge]

🫵 clone yourself

[flat harbor]

u called?

[vast wraith]

[mild cedar]

can someone tell me what’s the difference between doppler shift and doppler effect?

[hardy iron]

There's no difference

[mild cedar]

so they’re used interchangeably?

[hardy iron]

Yeah

[mild cedar]

is there any case where they aren’t used interchangeably? or where they’re different?

[dull ermine]

hi guys

im procastinating so bad

[rose thicket]

You could be good today, but instead you choose tomorrow

Know that your time has a limit set to it

Think of your many years of procrastination

How you’ve been blessed with further periods of grace of which you’ve taken no advantage of

It is time now to realize the nature of the universe to which you belong

And of that controlling power whose offspring you are

And to understand that your time has a limit set to it

Use it then to advance towards your enlightenment

Or it will be gone and never in your power again

You’re a doer, not a procrastinator,
Because you understand that when you procrastinate you’re not just avoiding your duties,
You’re also wasting your time unfruitfully

And thus it’s not that you don’t have enough time, it’s that you waste most of it

[dull ermine]

hii to you, thank you so much for giving me an actual reality check

[rose thicket]

You’re welcome. I’m glad the reality check resonated with you. Now, it’s up to you to take action and move forward—don’t let this moment of clarity slip away!

[jagged pendant]

Thought this was chill

Mb

[sharp quiver]

Hi where can I ask a question for math in general (Not solving any problems) I want something more like experience based thing

[surreal sapphire]

a discussion channel is fine i guess

[timid bronze]

Lol

[cloud nacelle]

lmao

[latent edge]

yes

Today's a horrible day

[bleak elk]

deepwoken.

[rose thicket]

?

I have an erudite lexicon but that word leaves me dumbfounded

[bleak elk]

its a server you are in...

[rose thicket]

Oh

[bleak elk]

its just rlly rare to see someone that plays deepwoken my bad 😭

[rose thicket]

Yeah I’m not really active on discord anymore, so I’m in a lot of servers

[rose thicket]

No problem lmao

[bleak elk]

yeah its alright

oh and

[rose thicket]

I played it once and it was pretty mundane

[bleak elk]

thanks for what you said

helped me a lot even tho it wasnt meant for me

[rose thicket]

❤️‍🔥

It’s my pleasure

[bleak elk]

carpe diem

[warped ether]

Hello

[gusty socket]

hello tiny

[gusty harbor]

Hello, folks of the mathematics community. Do any of you know of anywhere I can access a sheet or document of some sort where all the symbols and unique characters used in at least most branches of math are summarized? I am working on a small project and such a document containing such symbols would be beneficial to it. Thank you.

[finite wave]

Hello

[leaden torrent]

people have asked about this before, pretty sure such a thing doesnt exist

wikipedia has a list of mathematical symbols but it is nowhere near exhaustive

it woudl be a massive undertaking to create such a thing

[pulsar pagoda]

does this ping u?

[neat lintel]

skibdiddy

[north topaz]

https://www.cambridgeinternational.org/Images/420009-mathematics-notation-list-.pdf
this should be sufficient for pre-uni mathematics

and for a lot of undergrad

treat this as sort of a "maths fundmentals" notation list

[void loom]

I scored 92/105 on my math HW

[warm umbra]

good stuff

[plush hawk]

no disrespect but why is ur math hw 105 points

[void loom]

15-30-30-30 is the breakdown

[plush hawk]

i see

[warm umbra]

thank you

the change from yeat to yeat! was major

[steel vessel]

Hi ilyas

[neat lintel]

Hey all

am no longer the prez

[neat lintel]

hi

[inland jungle]

hi

[neat lintel]

hru

[finite wave]

x is any positive integer, a(n)=(2a(n-1)-1)/3, a(0)=4x-3, Do there exist odd number that don't equal any a

[flat plover]

@everyone
Guys i have a theory i just thought (i am new to maths so i dont know if anyone has said it before):
Basically when you take the squares of two consecutive numbers and subtract the smaller from the biggest one the result is always the sum of those two numbers

[thick yacht]

Isn't that a special case of the binomial theorem?

[flat plover]

What is that?

[thick yacht]

It's theorem about the coefficients of the expansion of the polynomial (x+y)^n.

https://en.wikipedia.org/wiki/Binomial_theorem

[neat lintel]

a^2-b^2=(a+b)(a-b)

[tardy tiger]

yes, because
(x+1)^2 - x^2 = x^2 + 2x + 1 - x^2 = 2x+1 = x + (x+1)

[neat lintel]

Chaos theory can actually work in the markets

[tawdry pecan]

this place kicks rocks

[burnt ledge]

Yep this is a special case of difference of two squares

[gilded hornet]

Hi

[steel vessel]

Good wbu

[neat lintel]

No

[eternal crow]

that's amazing

i also had a theory that i discovered back then

a number containing three consecutive digits is always divisible by 3

idk if it's already known

i discovered it while counting in a counting channel

does anyone know if it's an already known existing theorem or something?

i discovered it 4 months ago

[floral kernel]

hey

[static loom]

yup this is known, in fact it's divisible by 6, do you see why?

[eternal crow]

i was doing just fine before i met you

[eternal crow]

not yet

[floral kernel]

then go fuck yourself

[eternal crow]

#chill it's lyrics

[eternal crow]

123 is not divisible by 6

[floral kernel]

im not in a mood in #chill

[eternal crow]

im sorry 🙏

[stray fox]

damn 😭 someone is mad

you okay

[eternal crow]

we're okay

[stray fox]

yay

are you aleph null :3?

[eternal crow]

ya xD

[stray fox]

or are you some really obsecure part of ma- okey

[eternal crow]

idk what my name means. i forgot

[stray fox]

it's the first cardinal

[static loom]

oh I misread what you said originally

thought you said if you have 3 consecutive numbers, then one of them is divisible by 3

[eternal crow]

ah. i should've shown examples

but yea 123 is one

[stray fox]

Well, it is the first cardinal, the set of natuals, the sum of all finite ordinals

[static loom]

nah you're good what you said was unambiguous I'm just getting sleepy apparently 🤣

[eternal crow]

someday it'll be clearer to me

[stray fox]

I'm not too great at it either haha, my first math book was on this stuff and still I fail to understand

[static loom]

there's a couple ways to prove this. Are you familiar with the trick for testing for divisibility by 3?

[eternal crow]

yes. the sum of the digits must be divisible by 3

[static loom]

cool

do you see how you could use that to prove it, or I'm assuming that's what you want to do

[eternal crow]

but i never knew it's always true for 3 consecutive digits until then

[eternal crow]

idk yet

we actually talked about it then. I'll backread what we discussed

bc I've forgotten

[static loom]

I'll give a hint if you like: ||call the middle digit d. What are the first and last digits? What do you get when you add them?||

[floral kernel]

345

[eternal crow]

d, d+1, d-1

[floral kernel]

567

OMGG

[eternal crow]

ojhhhhh

that's so clever

[floral kernel]

8910

[eternal crow]

and quick

i never thought of that

i like that proof

wait

hmm

oh yea ok that makes sense

i just don't know the proof for why a number with the sum of digits divisible by 3 is divisible by 3 itself

[static loom]

I have probably spent too much time doing elementary number theory LOL

[eternal crow]

oh i see

[static loom]

aha, yes this is a good question

also worth noting that it works for 9 as well

[eternal crow]

so this kind of stuff is elementary number theory, i barely know

[static loom]

yeah to prove these things, you're gonna probably want to get a bit more familiar with modular arithmetic

[eternal crow]

i see

[static loom]

but I can give you a kind of rough proof of it for you anyways

so pick a number in base 10 we'll use it as an example

[eternal crow]

5

[static loom]

haha my bad

I mean with at least 3 digits

[eternal crow]

2024

[static loom]

ok perfect

so you can think of this as expanded out to meaning $$210^3 + 010^2 + 210^1 + 410^0$$, that make sense so far?

[fathom swallow]

Merosity

[eternal crow]

yes

expanded notation

[static loom]

so when you subtract 1 from a power of 10, what do we get/

[eternal crow]

10^n - 1?

[static loom]

Yeah, I guess that was a bit vague, but we get a bunch of 9s, so for instance 10^5 - 1 we get 100000 = 99999 + 1 = 9*11111 + 1

[eternal crow]

oh yea makes sense

[static loom]

generally speaking $10^n-1 = 9 * (1+10+10^2+... + 10^{n-1}$ (this is also called a geometric series/sequence)

[fathom swallow]

Merosity

[eternal crow]

ohhhh

[static loom]

so we can replace all the powers of 10 in there with 1 + 9*stuff

[eternal crow]

ok

[static loom]

the idea is the stuff multiplying 9 is already divisible by 9, so we don't have to care about it

so let me back up to the example since it's probably murky right now, but this is why getting familiar with modular arithmetic will help.

[eternal crow]

oh isn't this supposed to be like (1+9)^n ?

[static loom]

not quite, that's something a bit different called the binomial expansion

So let me know if you can follow the steps or I should elaborate here:
$$210^3 + 010^2 + 210^1 + 410^0$$
$$2*(1+999) + 0*(1+99) + 2*(1+9) + 41$$
$$2+0+2+4 + 9(2111 + 011 + 2*1)$$

[fathom swallow]

Merosity

[static loom]

I kinda made a jump there after writing the powers of 10 as 1+99...99

[eternal crow]

yea it's clear

[static loom]

cool

ok so you see th esum of 2+0+2+4 happening here, if this is divisible by 3, then the other part is 9*stuff so that's divisible by 3 and the whole number is divisible by 3

similarly for 9

so this isn't exactly a proof, but the proof is just doing this same thing but more generally

[eternal crow]

sp how would the (2*111+0*11+2*1) part be divisible by 3

[static loom]

that part may or may not, but it doesn't need to be

the 9 multiplying it makes that whole term divisible by 3

[eternal crow]

ohhhh right right

[static loom]

cool cool

[eternal crow]

yay

wow

it doesn't always work for 6?

[static loom]

nope, won't work for 6

although you could check for 2 and 3 individually

since divisibility by 2 and 5 are super easy in base 10

[eternal crow]

i always thought it always work for 6 until i saw somewhere i forgot that it's not always true

[static loom]

and powers of 2 and 5 are also relatively simple too

we could try to come up with a counterexample to show it doesn't work

[eternal crow]

yea. i learned it in preschool

sure

2028 is divisible by 6

[static loom]

111111 (six ones)

[eternal crow]

ohhhhhhhh

that's so true

[static loom]

😎

[eternal crow]

oh yea that's obvious

but what if it's even

[static loom]

[eternal crow]

would it always work if it's even

even and digits sum up to mod 6

[static loom]

if the digits add to a multiple of 3, it has to

cause divisible by 3 and 2 means divisible by 6

[eternal crow]

yea

[static loom]

yup yup

[eternal crow]

interesting

thank you for enlightening me

[static loom]

I wouldn't say it that way, at least that's not how mod works, unless I'm misunderstanding how you'r eusing it here

[static loom]

yeah you're welcome lol

[eternal crow]

oh yea sorry i was gonna say if i used mod correctly there

but i meant to say if it's divisible by 6

[static loom]

gotcha

[hardy iron]

I'd make a lemma: If n is divisible by 10 then n/10 = n (mod 3)

Wait it's too trivial to even be a lemma

[wind veldt]

My question is how I am going to take algebra 1, algebra 2, algebra 3, geometry, precalculus and calculus in high school, didn’t I just have 4 years but each class takes a year I think so how that is going to work for me can you explain?

[lavish kayak]

maybe you will take geometry together with algebra 1?

[abstract gale]

algebra 1 and geometry are taught in middle school for some schools and there is no such thing as algebra 3 as far as i’m aware

[leaden torrent]

im on algebra 27

[proud olive]

I'm on 14 I think

[hardy iron]

I ate 1 kg of flesh today

[unborn sun]

√-1

[neat lintel]

.

[neat lintel]

iota

[eternal crow]

j

,,e^{i\frac{\pi}{2}}

[fathom swallow]

0_א

[bleak rampart]

Hi everyone.
Does anyone have access to the 2024 AS Level Further Core Pure Edexcel Paper?

[ocean harbor]

@civic flicker how's the progress going on lin alg 👀

[pure hollow]

akira hows RA going?

[ocean harbor]

it is good

but studying graph theory as well

[pure hollow]

[hardy iron]

What's the textbook you're using?

[ocean harbor]

for which?

[hardy iron]

Graph theory

[hardy iron]

I see, thank you

[vast wraith]

very demure, very mindful

[worthy shell]

abbott

[merry cloak]

hi

[woeful drum]

hey should i do all the exercises in Lang Geometry (the high school one) under the "Additional Exercises" header? How are the exercises in this section supposed to be different?

[frosty cradle]

Algebra 3 is just linear algebra

[plush hawk]

theres discussion 1

and then discussion 2

because after 1 is 2

[civic hornet]

Maybe we should have a #resurces channel, I do see there is a #book-recommendations one

I know of a couple nice blogs I've discovered. I'm sure people have their own non conventional sources as well that aren't strictly published books

[ocean harbor]

there is already #resources but it is archived

!bookrecs

[quasi jetty]

Check out the official Mathematics Discord website, or ask in #book-recommendations. If you want to submit your own book review, please DM ModMail.

[ocean harbor]

you can check this

[civic hornet]

it appears as though I do not have access to that channel. I wonder why it's archived, nobody else will find resources again?

[ocean harbor]

get the role in id:customize

also I pinged wrong one should be #books or #books-old xd

[bright badge]

Philosophers, mathematicians, cientifics, artists, medics, and sociologists. Are mostly unpaid for moving humanity forward

Why do we build infrastructure to support a bigger population. It seems like society is maintained just to support wealth accumulation for a few

Because most people don't serve the greater purpose of moving humanity forward on any way

[static loom]

ok

[civic hornet]

Humanity was never run for enlightenment

It used to be whoever had the biggest stick gets the food and women. Very harsh reality

In some areas of the world, it is still like this. In other areas of the world we try to have more "civil" society. But now you're getting into politics

Rather an easier explanation might be animals are more geared towards short term immediate rewards

[bright badge]

So at the bigger picture, there is no common direction, humanity moves forward more by accident than as a consequence of a greater planning

[civic hornet]

Well, advancement has been a continued direction

[bright badge]

I will make business and power a philantropic matter just like art and science, and how I shape society will be my mona lisa. Thats why I'm thinking so deeply about infrastructure and the direction of humanity

[bright badge]

Maybe uninterested greater purpose is part of the collective mind that "has a plan" (just to say it in some way)

[civic hornet]

Well I hope you're in a place that has democracy, and you have people that think alike and support you

Some people might not like the things you say. If you live in a place like mexico, I would probably recommend you leave before trying to make those people mad

[bright badge]

I think no place is secure enough, but Argentina seems ok anyway

[smoky violet]

do you think linear algebra is harder than multivariable calc

[ocean harbor]

depends......

[copper harness]

man,..

this is not a good vocation

for one u don’t get paid

how will u buy rice

[static loom]

so true

[tacit pier]

Guys I have a quick random question.

Does anyone know where I can find any legal advice or legal attorney for malicious harassment, and stalking?

[static loom]

this is a math server, highly doubt you'll find someone who can help you here unless it's about a user here then contact modmail

[fervent oyster]

the police station maybe?

(that's a genuine answer 😭)

[tacit pier]

We have multiple police reports since we have moved to a new area.

I have never experienced anything like this ever in my life.

[fervent oyster]

oh

i'm sorry

i will pray for you all in Jesus Christ's name 🙏

[tacit pier]

Thank you sir. 😅>>>🥲

[fervent oyster]

you are welcome

[tacit pier]

Pray for all injustices to be reversed. 🥲

[fervent oyster]

i will!

[heavy frigate]

a

[mild parcel]

a

[eternal crow]

i assume linear algebra is easier

that's why im planning to learn it next, before i jump to multivar calc

[granite hound]

Linear algebra 1 is probably easier, solely because that's usually a prereq for vector calc

Linear algebra 2 is harder to compare, maybe about the same?

[flint cliff]

Hi, I hope this channel is the right place to ask. I'm stuck on choosing a method for my final paper. I'm interested in forecasting exchange rates using GRU/CNN, but I've found many papers that have already researched this topic using methods like GRU/CNN with Attention, Bi-GRU, and various combinations of these approaches. I've also explored other methods like LSTM and RNN, but I'm confused since these have been extensively studied as well. Are there any methods I could compare or improve upon if I pursue this topic?

[neat lintel]

yo

[knotty depot]

Yo

[neat lintel]

YOYO

[knotty depot]

Yo buddy

[neat lintel]

 YOOOOOOOOO DIOV 

[gusty socket]

that guy tried to steal the moon

[split ether]

where can i find resources for exercises about proving things in circles and triangles and rectangles

[ocean harbor]

google

[fresh comet]

goggle

[vast wraith]

why did i buy an umbrella only to walk the long way home in the rain without using it

[junior relic]

Hello, math student here. Are there any tablet android applications in which I can express a math equation or draw a function and get automated graph showing its range and domain?

[gentle bane]

Why did it become gay

😭😭😭

It’s a math server

[vast wraith]

it’s a gay math server

[ocean harbor]

no

but you could use latex for math equations and desmos for graphing

[true zinc]

if you're referring to the server logo, this guild's administration stands in solidarity with the LGBTQ+ community and if you have an issue with that, you are welcome to message @polar panther but don't expect a kind response

[delicate tendon]

crazy question

[granite hound]

I think its because people kept bitching about it during pride month a while back, so as punishment to those people they made it permanent

[vast wraith]

actually so based mwahahahahaha

[flint cliff]

I'm just confused on how to find the gap research..

[old oak]

Be gay, do crime math! ||but also crime||

[static loom]

(x+y)^2 = x^2 + y^2 ||characteristic > 2||

[old oak]

That is a crime.

Or should be, anyway

[static loom]

😎

[gentle bane]

Ohh

But like

Won’t this affect the server identity

Isn’t it an academic Server

[hollow ginkgo]

Yes, and?

[granite hound]

Sure, but it's also a social server with people in it

[gentle bane]

Oh sure

Good luck then

When I saw the server Logo I thought it’s June again

[true zinc]

we do both so this is completely fine :)

[true zinc]

aaaa that's EVIL

[real condor]

can someone provide some insight on something real quick

so i have a calc 2 midterm in approximately 12 hours

i had reviewed so hard on everything i THOUGHT was on the exam

u-sub, integration by parts, FTC, riemann sums and all that im perfect on ill get those right

same with area and arc length

i compleley didn't realize volume was on the exam idk how tf i fumbled so bad

i missed the last few classes due to illness (where we covered volume) so idk much really and saved it for post-exams since i had other classes to study for

should i sleep or spend the next 12 hours learning volume

[light horizon]

Is there some reason you can't spend the next, say, 5 hours learning the topic and the next 7 sleeping

[real condor]

im walking to office hours for chem exam (also tmrw) rn so idk i have to study for chem and calc

calc i was certain i would get an A cause everything else feels good

just completely didn't realize volume was on there

i guess my question is

how long would it take

to get the basics

ik thats a hard question to answer and it depends on the person but i dont wanna show up sluggish after pulling an allnighter

exam is at 8am

[timid bronze]

Well if you have your foundations right learning volume shouldn’t be impossible

[timid bronze]

can you not walk into office hours at a later time

[light horizon]

In this case I'd say the sleep is more important than the topic but it shouldn't be too hard to get any given calc topic in a couple hours

[timid bronze]

and what do u need office hours for

practice?

[real condor]

we had a practice exam sheet

and he never posted the answers

this is the only way to check

this if for chem btw but honestly atp i might skip

[timid bronze]

could you not try emailing now for answers?

[real condor]

no hes weird like that

[timid bronze]

oh

[real condor]

you have to come in cause hes doing a lecture style office hours

[timid bronze]

that’s stupid

[real condor]

alright fuck chem

[timid bronze]

either way i agree with arti

[timid bronze]

i wouldnt give up chem if youre shaky

[real condor]

not shaky i understand it just wanted to know the answers to the practice

just in case

im gonna try to get some 4-5 hours of sleep in

[timid bronze]

4 is very little unless ur body somehow functions well on that

id highly suggest u get more

[real condor]

but literally idek where to start

[timid bronze]

better to be fuzzy on a topic than so sleepy u cant even master most of the exam

because ur brains just tired

[real condor]

thats true because even if i get it wrong its prob only one or two questions on volume

[timid bronze]

Wdym

does he have no lecture slides

[real condor]

nope

no zoom recordings

no lecture slides

[timid bronze]

check syllabus maybe?

[real condor]

nothing the only thing he has is office horus

[timid bronze]

Wtf

[real condor]

and he posts two pages of "class notes" every two weeks

literally two pages of basic definitions

and thats it

[timid bronze]

but do u have any other context other than “Volume”