#serious-discussion

1 messages · Page 315 of 1

ocean harbor
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such as?

dense vigil
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i cant tell you

ocean harbor
dense vigil
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I prefer to remain anonymous but I have released a few you might have read

dense vigil
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What have you read?

dense vigil
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I liked abstract algebra a lot

ocean harbor
dense vigil
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by?

ocean harbor
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its a textbook

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i forgor the name tho

dense vigil
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Alr imma go do some physics now

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adios amigo

ocean harbor
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lmao im trolling u

dense vigil
ocean harbor
dense vigil
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bro thats a standard graduate level text

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you cant be serious

ocean harbor
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ik that

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but i am making sure if u actually answered this

dense vigil
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bro i gotta do hw

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Dummit & Foote

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In my opinion I feel like like the text contains too much prose while it hides important results in exercises.

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What about u tho

ocean harbor
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here are some books im reading so far and they are still not completed

  1. linear algebra by richard bronson
  2. understanding analysis by abbott
  3. intro to topo by robert everist
  4. intro to graph theory by douglas b. west
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their book covers if ur curious

dense vigil
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i liked Linear Algebra 4th edition by Friedburg i hadnt read bronson

ocean harbor
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cool

dense vigil
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how was it

ocean harbor
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how was what

dense vigil
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i heard it was mediocore at best

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bronsons linear algebra

twin flicker
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i like ai thats not llm

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i like llms too tho

ocean harbor
dense vigil
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linear algebra by richard bronson

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ight bro

ocean harbor
dense vigil
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this has to be ragebait ngl

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u just said u read itg

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u got me ngl

twin flicker
dense vigil
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imma dip now

twin flicker
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like chatgpt

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etc

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claude

ocean harbor
ocean harbor
dense vigil
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but ight

ocean harbor
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well i havent finished it

dense vigil
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u just said u never read it

ocean harbor
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also i sometimes forget which author im reading

dense vigil
ocean harbor
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so i had to send the covers

dense vigil
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yeah ur the man

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imma go now have a good one

vernal token
haughty lion
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Love the artstyle

ocean harbor
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no I did not make it kekw

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credit goes to @upper lotus

reef carbon
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@snow helm so tell me then

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how exactly do you expect me to react in a non-rude way to the following situation:

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i give the OP of a help channel a question that's related to theirs but simpler, with the express purpose of seeing if they can do it.

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to get a reading on their, the OP's, skill level.

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and then someone else jumps in and solves it for them, which completely defeats the purpose.

snow helm
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or whatever you deem necessary

round siren
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guess what

snow helm
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@reef carbon i wasnt here to disturb/rattle you, continue on with the helpee

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i wont interrupt again

reef carbon
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i want made to disturb/rattle you

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come again?

snow helm
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and i never liked your attitude

snow helm
reef carbon
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yeah idk how to fix the typo

round siren
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hows that a typo

reef carbon
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tell me what you meant

snow helm
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fr

round siren
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oh gorgeous typo

reef carbon
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pray tell what makes you not like my attitude

snow helm
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now thats what up in your brain

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to comrehend it

reef carbon
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oh yeah, because someone expressing a dislike of "my attitude" means it's on me to telepathically figure out wtf im doing wrong and not the complainer to clearly communicate to me what they dont like.

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got it.

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(sarcasm)

snow helm
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ok now help and waste your time with whoever doest know what to do in math

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like .5+.5=?

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sarcasm too haha

ocean harbor
daring scarab
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guys im really sorry to interrupt, but i really wasnt aware what was she doing, i was here with calculus problems which i had doubt in. i apologise for what i did there. im so sorry and i'll make sure i wont do it agn

round siren
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yeah dw none of this is against you

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i mean we'd take issue if you hadnt literally just joined

snow helm
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she is a hot headed person ngl

daring scarab
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im really sorryy tho

reef carbon
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idk about you but like this sort of "idk any math" is something ive seen a bunch of times now and i know how to handle it

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when a helpee cant self-report what skills they have or dont have (which is pretty often), i give them simple-ish questions to see what they're missing.

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maybe they can do linear equations but trip up when there's fractions in there.

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maybe they can do single-var equations but trip up when a second variable enters the picture.

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maybe they struggle even with integer arithmetic.

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there is a reason why i do things the way i do.

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actually idk why i am yapping to someone who sounds like he will just not listen to me no matter what i say?

snow helm
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yes

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my MO is quite different to say.

round siren
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bro's MO is to hand out solutions

snow helm
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kinda and explain something comprehendable.

round siren
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comprehensible*?

ocean harbor
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if u dont have nice thing to say then u better just dont say anything at all

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its simple

latent bramble
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Guys PnC ruined my life

cloud rover
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Like, we have !noans and !nosols for a reason

mint canopy
# round siren

would you mind letting me know what was said here, in English?

cloud rover
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...Right, so his attitude towards nosols goes against the core purpose of this server

round siren
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second group of messages is about some other server hes on

cloud rover
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"I'm in the JNT (server name?) but I've been timed out"?

mint canopy
cloud rover
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Or "there is a timeout atm"

round siren
cloud rover
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ah

reef carbon
round siren
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but its def insults yeah

mint canopy
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OK, please ping mods next time this happens

round siren
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if you say so

mint canopy
# round siren

@snow helm This is not acceptable behaviour, and I can see that most of your activity on this server in the last day or so has been interrupting help channels. Please don't do so in the future. I'm going to ask you to take a day off.

round siren
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thanks boytjie catgiggle

upper lotus
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I'll try to find the artist page I think I have the link somewhere

young stirrup
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paws of love..

main elbow
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can anyone be my friend? DM me

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server be like: silence...

terse comet
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almost all of my unsolicited DM requests are deeply weird and im sure this is an experience other users relate to

sage canyon
#

any people participating in WMTC 25 in Thailand?

sick parrot
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server be like: silence...

ripe jolt
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definitely right about the first guy 😂

ripe jolt
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🤔

twilit kiln
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does anyone know a source where it shows a proof/derivation for the difference quotient itself (definition of derivative formula)?

oblique kestrel
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How do you verify your answers when you're working through a book's exercises by yourself?

zealous garden
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I see if I'm right

twilit kiln
# twin flicker wdym

I don’t think what i’m asking for makes sense actually. i’m in calc one and having a hard time understanding what it really means, for instance, to subtract a function f(x) by f(x+h), I know that the math behind it works and the procedure is simple, I just want it to click in a visual/intuitive sense when considering something even as simple as x^2 and getting 2x from it. I want like, a graphical animated representation of everything going on.

twin flicker
twilit kiln
twin flicker
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so at some point x you consider another point x + h

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and then find the slope of the line connecting the two points

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and now you want to reduce h such that it approaches 0

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the result is the derivative

junior turtle
compact surge
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$\lim_{h \to 0} \frac{f(x+h)-f(x-h)}{2h}$ be like

fathom swallowBOT
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zora (meow meow :3)

sick parrot
compact surge
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if f is a well behaved function this should work too

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but then again f has to be well behaved in order to actually be differentiable

compact surge
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basically for a given value of h this achieves less error than the other one

junior turtle
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nvm opencry

agile fiber
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but it also makes certain non-differentiable functions look differentiable

compact surge
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i guess if f(x) is not defined

agile fiber
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|x| at 0

compact surge
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but every point around it is

agile fiber
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symmetric difference quotient is zero for all h but obviously not differentiable

compact surge
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ig if you exclude weird stuff like that

zealous garden
compact surge
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i mean it’s more practical if you wish to numerically calculate the derivative

agile fiber
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yeah it's useful for calculations just not as a definition

zealous garden
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It's arguably useful to have that value be 0 and not DNE

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There's still information there

compact surge
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if you were to assign f'(0) a value it would make sense as 0 imo

zealous garden
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That turn-around is still an extrema

compact surge
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it’s similar to like summing up divergent series

junior turtle
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bc the left and right limits arent equal

compact surge
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and try derivative at x=0

agile fiber
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in general it averages the left and right derivatives when they exist

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but if you have some piecewise linear function where the slopes are not negatives of each other you would get that the derivative at the crossing point is the average of the two slopes

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which could cause you to miss extrema

compact surge
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ah

agile fiber
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for differentiable functions its fine because the left and right derivatives are equal anyway. it just causes edge cases in non-differentiable functions which still have sided derivatives

torpid bay
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huh, cool catthumbsup

prisma roost
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Is philosophy of mathematics discussed in this server at all?

torpid bay
#

sometimes, though most of it that I've ends up being people who take a cs course and think they know everything about math (cranks)

pale saddle
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@shadow palm gar?

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I swear nobody wanna team on agario 🥀

shadow palm
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In like 10 mins

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@pale saddle

pale saddle
shadow palm
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@pale saddle

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@warm umbra

pale saddle
#

I’m here 😭

shadow palm
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Agario

pale saddle
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Let’s goo

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You can make the party

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If you want

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I guess we’re going US-West

shadow palm
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Oh

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Ok

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Wait, I'm on PC

pale saddle
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Oh

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Are you able to switch to mobile?

shadow palm
shadow palm
pale saddle
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I see

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invalid 😭

warm umbra
pale saddle
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YEETTTT

warm umbra
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Hey guys.

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Hope you both are doing well.

pale saddle
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u too

warm umbra
pale saddle
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😁

pale saddle
ocean harbor
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@warm umbra welcome to mathcord

pale saddle
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Mike 😭😭😭

warm umbra
ocean harbor
#

not sure what does hooligans mean

warm umbra
zealous garden
#

How useful are sylow theorems for crystallographic space groups

pale saddle
#

I’m not able to join the party 🙁

calm fox
#

who wants to attempt a random math trivia question for the chance to win dollar

shadow palm
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What?

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What?

pale saddle
storm kernel
warm umbra
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I hope you're doing well kiddo.

storm kernel
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hbu

storm kernel
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noooooooo

fringe dirge
#

I mean I don't understanding something about girls, I don't know how this happens
The ones that we love, do not love us
And the ones that we do not love, who loves?

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We love?

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What?

prisma roost
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What

fringe dirge
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@light gate I mean, if I love a girl and she doesn't love me then if I don't love a girl, how does she love me?

light gate
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what do you mean

fringe dirge
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If I love her she doesnt loves me, then if I don't love her she loves me, then I reject her

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That's what I mean

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Gottem

light gate
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what is your question

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sure

fringe dirge
light gate
#

no idea what you mean but okay

uneven lily
uneven lily
fringe dirge
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No you are gay

uneven lily
light gate
fathom swallowBOT
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Estelle

light gate
uneven lily
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Ok

fathom swallowBOT
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Estelle

fringe dirge
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Moment when you crack a joke in a mathematics discord server that involves thinking

ivory schooner
fringe dirge
night venture
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;-;

outer karma
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hey guys

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what's going on

ocean harbor
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wbu

ocean harbor
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@light gate i managed to finish it so im chilling rn

light gate
olive wharf
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hi

ocean harbor
mental spade
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Hello everyone. I just joined the server (somehow missed it for years), and thought it would be good to have semi short introduction before I randomly pop up somewhere here. How are you all?

ocean harbor
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i think ur in right channel anyway

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im doing good wbu

mental spade
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Perfect, I was a little worried I messaged in the wrong one.

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Not too bad, just some software stuff halting Uni progress.

ocean harbor
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what kinda software stuff?

mental spade
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Auto desk Inventor

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The 2026 one doesn’t seem to be downloading correctly so I’ll just be focusing on the research and writing parts.

ocean harbor
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autocad?

mental spade
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The same maker, different software.

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It’s quite similar to autocad but more 3D aspects

ocean harbor
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interesting

snow helm
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back again.

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wow

mint canopy
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@sick kite let's move here

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did u see the k[[x]] thing?

sick kite
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it should be the ideal generated by (x)

mint canopy
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yeah u got it

sick kite
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because a power series is invertible iff the leading coeff is invertible

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so (x) has all the nonunits

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and is also an ideal

mint canopy
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Do you wanna see a fun generalisation of this, just for shits and giggles?

sick kite
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the last fun generalisation i saw of k[[x]] was in fact not fun

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but shoot

mint canopy
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Oh what was it?

sick kite
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gimme a moment to look through the notes lol

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strictly speaking this was an example of a non commutative division ring

mint canopy
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Ah ok that's fine that's fine

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This is something else

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Weyl algebra?

sick kite
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I have looked at this only very briefly

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please explain

mint canopy
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Nah nah it's fine, I'll just tell you about this commutative thing

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So first quick change of perspective on k[[x]]

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You could specify an element of k[[x]] by specifying its image in k[[x]]/(x), k[[x]]/(x^2), k[[x]]/(x^3) etc

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and these things are just k[x]/(x^n) themselves, right

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Savvy?

sick kite
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Yes I am getting it so far

mint canopy
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Alright so

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the only restriction here, for a sequence of images in k[x]/(x^n), is that they be consistent wrt quotienting even further

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so if we have a sequence that is consistent in this manner, we get an element of k[[x]]

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I'm sure this seems very obvious to you

sick kite
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im following so far

mint canopy
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Great

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Now instead of k[x] I'm gonna use Z

sick kite
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same thing

mint canopy
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and instead of x I'm gonna just choose some number p > 0, p for later

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Now a 'consistent' sequence of elements of Z/(p), Z/(p^2), etc

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we can form a ring of these things

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These are the p-adic integers

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Z_p

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Very simple definition, right?

sick kite
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gimme a moment

mint canopy
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Don't expect to immediately understand what these look like

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But the idea is that the collection of all these "approximations" in Z/(p^n) tells us exactly how to do everything in this ring Z_p

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in the same way it worked for k[[x]]

sick kite
mint canopy
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Here's a trick

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let's say p = 10

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Then something mod 10 is just a single digit, say 1.

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Something mod 10^2 is two digits, say 21

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And the last digit must be consistent with what I claimed it was before

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And so on: 121 mod 10^3, 2121 mod 10^4, etc

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Now what might be a convenient way to represent all of this information at once?

sick kite
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right

snow helm
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@flat kite man why did you message me? anything to convey/inform of significance?

mint canopy
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Well, perhaps to you it feels perverse, but to me it seems very natural to simply write this as all the digits at once, in a sort of infinite decimal expansion

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like ...212121

sick kite
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like \bar{21}

mint canopy
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Yeah exactly!

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And this is in fact how people write these numbers, sometimes with a subscript p after it

sick kite
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or 0.\bar{12] perhaps

mint canopy
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Well, I would prefer to write it so that \bar{21} == 21 mod 100

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but yeah

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And the neat part is this

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You already know how to calculate with these things

sick kite
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by cutting off mod p^n and doing the calculation in Z/p^n

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presumably

mint canopy
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Exactly!

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like, what about the number 100 := ...000000100

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let's say x := ...2121212121

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What's 100 * x?

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Since you already know how decimal stuff works for the naturals, you know it's = ...21212100

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So 100x + 21 = x

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Interesting, hm? looks like x plays the role of -21/99. Kinda strange maybe.

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I won't tell you all the details because it's very fun to try and figure out what these rings look like

sick kite
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no this is cool, I appreciate it

mint canopy
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but I will tell you this: if p is a prime, then Z_p is a local ring with prime ideal (p)

sick kite
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I think this is quite relevant in the bit of maths i want to end up doing

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i remember watching a frank calegari video where he talked about how the big project in number theory is figuring out what the fuck Gal(\bar{Q_p}/Q_p) is

mint canopy
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Some things to think about

  • What's the characteristic of Z_p?
  • Show Z_p^n = Z_p
  • Recall the chinese remainder theorem and use this to find out exactly when Z_p is a domain
mint canopy
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I feel lucky that I got to show you these for the first time

sick kite
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haha

mint canopy
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But like, isn't it cool how these things are really not hard to write down? I think it's great

sick kite
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I'm going to have to think quite hard to demistify them, icl i was putting learning about Z_p off because it looked hard

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but I'll reread this convo a few times and hopefully come back with answers

mint canopy
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Hell yeah man

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Don't fear the p-adics!!

sick kite
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They will actually be covered in my number theory course in term 1

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at least a little

mint canopy
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That's pretty cool

sick kite
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so i look forward to snoozing through lectures

mint canopy
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Oh you

sick kite
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wow i love number theory

mint canopy
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fishehap I'm very happy for u

sick kite
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Thanks man : )

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I appreciate having you here

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where would i be without ur help honestly

mint canopy
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Frankly swift?

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Very much the same place

sick kite
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I'm not so sure

sick kite
# mint canopy You could specify an element of k[[x]] by specifying its image in k[[x]]/(x), k[...

oh we can formalise this notion of agreeing through the 3rd (??) iso theorem. if we consider k[x] as a module over itself, we have nested submodules (x^i) \subset (x^j) \subset k[x] (i<j). Then, if we consider the canonical surjection k[x] -> k[x]/(x^j), we can factor this through k[x]/(x^i) by f + (x^i) -> f + (x^j), this being well defined because of the nesting. so our representations stay the same (or agree) when we expand our ring in this way

mint canopy
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Yeah that's exactly right

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Of course this is a detail you have to kind of elide once you're working with the actual object, but yes it's the 3rd (or whatever number) iso that allows us to do this

sick kite
# mint canopy Weyl algebra?

oh and it wasn't the weyl algebra, the construction was like this: given a field k, consider the field of laurent series k((x)) and an automorphism \sigma: k \to k. Instead of defining multiplication in k((x)) in the obvious way, we define xb = \sigma(b)x, b \in k. denote this monstrosity by k((x; \sigma)). apparently, this gives a non commutative division ring. its particularly curious in the case k = C, \sigma = complex conjugation, because then it gives an infinite dim division algebra over R (we had just proved the classification of finite dim division algebras over R)

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anyway i hate algebra

mint canopy
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interesting

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I don't know much about inf-dim division algebras, but there is nice theory about finite-dim ones

sick kite
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it reminds me of the semidirect product construction for whatever reason

zealous garden
sick kite
zealous garden
mint canopy
zealous garden
mint canopy
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There are infinitely many up to isomorphism for Q, for example

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But the R case is nice too

sick kite
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i don't know shit about the theory over other fields

zealous garden
zealous garden
mint canopy
sick kite
#

oh yum

mint canopy
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indeed

sick kite
#

i can't wait to get to this

mint canopy
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Keywords: Brauer group

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but I am just spewing things at you

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forgive me

sick kite
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this is why i hated the non comm algebra course i took. like obviously no one does algebra by itself, people do other things and algebra falls out

zealous garden
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All my algebras are non commutative

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Except like, C or Λ+(V)

sick kite
# mint canopy Keywords: Brauer group

i recall some frank calegari video where he talks about langlands and about how zeta(-1/2) =0 somehow corresponds to prime factorisation in Z and how zeta(-1) or something corresponds ot the order of the brauer group of something being 24

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it was probably the same video

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what a good video

sick kite
zealous garden
sick kite
#

i suggest u do something more fun

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: )

zealous garden
#

Not possible

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My Geometric Algebras are not commutative, and it doesn't get more fun than that

sick kite
# mint canopy Some things to think about - What's the characteristic of Z_p? - Show Z_p^n = Z_...

Well I've done a little bit of thinking. My inital thought for the question of the characteristic of Z_p is as follows:

It's clear that the multiplicative identity in Z_p is ...0001. This is because the multiplicative identity (call it e) is such that e = 1 (p^n) because we need it to be the multiplicative identity for 'finite' p-adics, and this multiplication happens essentially in Z/(p^m) for some m.

So now we consider 1 + ... + 1 = 0 (1 denotes the mult. identity in Z_p). We know that if the above holds, then 1 + ... + 1 = 0 in Z/(p^n). We know that the characteristic of a ring R is the natural n such that Z/nZ = R. So, the characteristic (if it is finite) is simultaneously p^n for all n, a contradiction. so char Z_p = 0

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i didn't do a great job explaining myself

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whatver its 0

mint canopy
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So it must be 0

sick kite
#

thats the sentence i was looking for

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lol

mint canopy
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Nice one!

sick kite
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for the second part (showing that Z_p^n = Z_p), the argument should go someway along the lines of the 3rd iso theorem. I see this should work intuitively because we specify that our representation agrees with higher powers

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i should really formalise this

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but oh well

vivid halo
#

we know plenty about local fields just fuck all about number fields monkey

sick kite
shadow palm
#

Hello nerds

worldly horizon
#

can someone ask questions in the help channels I need to not feel useless

agile fiber
#

ask your own questions

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be the change you want to see and all that

worldly horizon
#

I did have this one question but I think it’s too advanced for a help channel anyway

scarlet thistle
#

The math channel is for things more general and the help channels are for specific problems, right?

old oak
fresh comet
old oak
fresh comet
#

ello Outsider eeveewave

proper prism
#

Does anyone know any software that can scan the work without payment? I only know about Cam Scanner but this one should be paid..

worldly horizon
#

you could always use human beings 👀 we work unpaid

ocean harbor
upbeat orchid
#

Or any iOS really

hollow ginkgo
vivid halo
fervent olive
#

Bro why the hell did i join this is need no help with math

#

I regret this

misty oracle
#

@wispy bramble if you wanna get the green role fast, you should consider solving or explaining any "dumb questions" as long as you get an opportunity.

fervent olive
#

Hey who can help me with decimal

misty oracle
#

Like the fraction question a while ago

misty oracle
fervent olive
#

Thanks

night tendon
#

God I'm such a loser

#

I need to get a job

#

Employment

#

I need to touch grass

#

Shower

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Get some huzz

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I'm so pathetic

worldly horizon
#

mid life crisis

knotty steppe
#

Hlo

marsh charm
#

Helloo

marsh linden
#

hello

drifting pewter
#

Hi

ocean harbor
shadow steeple
worldly horizon
#

Does anybody know about the TeXackers server? I’ve seen some people wear the tag across the server. When I attempted to apply, they said they didn’t actually mean for the server to be open.

hardy cove
#

Important caveats (real-world)

These are theoretical minimums using a sustained 91 Gbps link. Real downloads are slower due to server limits, TCP overhead, encryption, routing, peering, request/connection limits, and local endpoint/storage speed.Important caveats (real-world)

These are theoretical minimums using a sustained 91 Gbps link. Real downloads are slower due to server limits, TCP overhead, encryption, routing, peering, request/connection limits, and local endpoint/storage speed.Important caveats (real-world)

These are theoretical minimums using a sustained 91 Gbps link. Real downloads are slower due to server limits, TCP overhead, encryption, routing, peering, request/connection limits, and local endpoint/storage speed.

ocean harbor
#

its just the owner is inactive

worldly horizon
ocean harbor
#

@warm lance

worldly horizon
#

He the owner?

ocean harbor
#

no

#

but he told me the owner is inactive

worldly horizon
#

I see.

glad nova
#

morning fellow nerds

ocean harbor
#

morning nerd

tardy fractal
#

@median zinc May I try to help?

median zinc
tardy fractal
#

Integres

median zinc
#

Integers?

#

which channel are you referring to?

tardy fractal
#

integers

#

Sorry

median zinc
#

Sure

#

but OP doesn't seem to know about mod

tardy fractal
#
  1. Total number of pairs is 10,000, because both unknown m and n have 100 possible pairs
#

Sorry

median zinc
#

yeah, you added one more zero

#

I was a bit confused

#

lemme show you the original thread

#

Actually I have some ideas in mind already, but still need verification

tardy fractal
#

...ok nevermind

#

I got 1/5

median zinc
#

no, it's not that easy

#

it's impossible to find it out within 5 minutes lol

tardy fractal
#

I love math, but I'm pretty limited in it except for percentages and algebra

#

I'm sorry for wasting your time

proper prism
acoustic pivot
astral smelt
#

Hey dudes im trying to figure something out

#

Im an engineer working in electromagnetics and I need to learn more about complex variables/functions and residues

#

Are there typically uni courses that provide an intro to these topics?

#

In my area its just kinda thrown at you on the fly without any of the pre reqs for my courses discussing the matter

#

I've seen a few that fit the bill but they seem to really stress a background with an advanced calculus course

#

Which is fine

hoary adder
#

Mathematics

#

it is a fundamental concept that impacts the galaxy?

rocky shuttle
zealous garden
astral smelt
#

Yeah im at Umich and it looks like they have this

#

It just really stresses taking advanced calc 1

zealous garden
#

Hodge decompositions generalize helmholtz decompositions?

astral smelt
#

Which is heavily proof based and I just have never had a course with formal proofs before

#

So its kinda scary

#

Im taking a more computationally based PDE intro course now and thats been really fun

rocky shuttle
astral smelt
#

Yeah the description of the course just makes it seem really scary

#

"This is one of the hardest undergrad math courses, commit bitches" basically

#

Which is fine since im working while pursuing a master's im doing just one course at a time

#

For the first year

#

So now would be the time to do it

upper lotus
upper lotus
tardy fractal
#

5 and 7 are coprime, if I remember correctly

upper lotus
tardy fractal
#

Ah...this is where I made a mistake. Well, my mind is retarded sometimes

worn ice
#

someone explain this question :Find the integral of 1/(1+tan^6000(x)) from 0 to π/2

upper lotus
worn ice
#

is it the hardest?

upper lotus
#

Significantly so

#

Skibidi

worn ice
#

ill take that as a yes

upper lotus
tardy fractal
# upper lotus Yeah so that works for 5 | 7m+7n

To cut a long story short, these are the pairs:

(0,0), (1,4), (2,3), (3,4), (4,1)

So there are 5 valid pairs out of 25 possible pairs of residues.

Each residue appears exactly 20 times (since 100:5=20).

Then the probability is 5/25=1/5

upper lotus
#

I got ragebaited

#

💔

worn ice
#

.

tardy fractal
#

I was the reason for this?

upper lotus
#

I don’t like helping with integration problems

#

Ts boring

upper lotus
tardy fractal
tardy fractal
# pastel blade

Yes, this is weird. But I like to laugh at myself because real insults doesn't affect me so much

tardy fractal
#

Reverse logic works fine

pastel blade
#

U see humans fear getting judged in public, or ruining their own public image

fresh comet
vivid halo
#

eepy!

zealous garden
#

,w zariski topology

fathom swallowBOT
zealous garden
#

OK so what if I

#

Yes

#

Yes?

#

Man I need to do computations? This sucks I hate math

#

Lance can you ban me

zealous garden
# ocean harbor

Making coffee? They only do that in TV, real people don't have the time and energy for that shit

ocean harbor
#

u have time if u wake up early 🙂

zealous garden
#

If I had time for all that I'd get a fifth job to pay for my medical bills for getting shot again

-# AMERICA

ocean harbor
latent edge
#

Jeez I'm so tired

fresh comet
junior turtle
junior turtle
#

Bro why do they take attendance in uni monkey

latent edge
#

that's so weird lmao

junior turtle
#

Yeah like if you don't attend 70-80% of the course or something like that then you won't pass even if you get full scores on all exams

#

At least that's what the calc prof said

latent edge
#

calc prof

#

good luck

junior turtle
latent edge
#

honestly not sure how i survived these boring classes

#

well i say this but i forgot i have to take l*gic next sem

junior turtle
#

The thing is that usually they pass a list of all names to the students and they get the list back at the end of the lecture. But the calc prof calls out the names himself at the end of the lecture instead opencry

latent edge
latent edge
#

unfortunate

junior turtle
latent edge
#

im genuinely curious why logicians do logic

#

yall logicians enlighten me please

junior turtle
#

How is that logically sound opencry

pure hollow
#

Autism.

latent edge
#

I guess it's the same when my prof asks me

#

"why do you care about number fields"

#

autism

pure hollow
#

Math autism spectrum

latent edge
#

There's a very good chance I do logic if I find something equivalent

junior turtle
#

Good luck in finding something equivalent opencry

latent edge
#

real

junior turtle
#

If there was something like that you wouldve found it since you have many logic pilled friends shiver

latent edge
#

true

#

tfw i get dragged to listen to a 3 hour discussion of model theory nonsense

pure hollow
junior turtle
pure hollow
junior turtle
#

ig it's time to sleep since I have to wake up at 5 monkey (now it's 12)

#

gn deltoid and convergence

latent edge
median zinc
worn lintel
#

Hey guys iam a complete noob and I want to learn math from scratch how do id do it

lavish kayak
worn lintel
cursive fossil
#

try applying it in physics problems

worn lintel
#

?

cursive fossil
#

yes

worn lintel
#

iam currently doing bachelor in csit how about u ?

cursive fossil
#

in general related rates problems are an application for derivatives

#

high school

worn lintel
#

crazzyyy

#

which country u from

worn lintel
cursive fossil
#

philippines

worn lintel
#

have u heard about ramanujan the man who knew infinity

#

he got his ideas from god u agree on that tell me your point of view

#

if posssible

cursive fossil
#

yes

#

pi series came from a dream

#

i don't know how anyone would derive it though

worn lintel
#

crazy right

#

i wish some god helpp me like that lol

#

i mean everything ramanujan done with the help of god he says some thing like this

#

man there are some genius people out there

#

and here iam just a nobody

#

not smart

#

fucking stupid

cursive fossil
#

there were many geniuses who contributed to today's math

#

if you're studying derivatives you're studying mathematics that took hundreds of years to develop

#

and you understood it

#

you know how to do them

worn lintel
#

yeap

worn lintel
cursive fossil
#

you're not nobody

worn lintel
#

jsut plain process no understandign

#

though

cursive fossil
#

that's all i'm trying to say

#

that's enough if you want to chase understanding

#

you just need to apply it

#

look at the visualization

worn lintel
#

so what should i do first physics

#

?

cursive fossil
#

yes

worn lintel
#

?

cursive fossil
#

try looking at like what derivatives do on a graph

#

there are videos of it

worn lintel
#

okay

cursive fossil
#

try looking at the limit definition too

worn lintel
#

alright see u tommorrow frn

#

byee

cursive fossil
#

good luck

#

👋🏼

lavish kayak
barren kettle
#

Who wants to chat here?

tame crystal
#

Hi guys where are u from btw

barren kettle
#

midwest 'merica

barren kettle
teal juniper
#

fuck you mother

vocal vessel
#

Someone's mad at mommy...

teal juniper
#

no fuck you bitch

teal juniper
#

yes

#

bitch

vocal vessel
#

It's "that bitch" to you, young man.

teal juniper
#

fuck you

vocal vessel
#

"Fuck you, your highness"*

barren kettle
#

uh

fresh comet
fresh comet
#

morning TTerra

#

WHAT

#

I need to visit this place one day KEK

#

oh dang

#

that's a shame

#

I'll open a new location

#

nice, maybe I'll check it out when I have time

#

oh wait hold on, I've been to a different location before

#

there's one closeish to where I am

#

I had one of their sandwhiches literally yesterday KEK

#

it was good!

#

mine's due tomorrow

#

been working on it a lot today

#

real

#

nice, I haven't had ramen in a while

#

I haven't really gone out to eat since the semester began

#

better not forget tonight then

fast ivy
#

Could u share ur PDE hw sheet?

#

Btw, what are u guys studying?

sharp mulch
#

Haven't you already done this

#

Huh

#

Woah you're doing a phd

#

Weren't you anti-phd for a bit

#

That's nice

shadow palm
#

Hello nerds

obtuse grail
#

Hi

warm umbra
#

Welcome to the server @radiant thorn

radiant thorn
shadow palm
#

@radiant thorn
Nice pfp

radiant thorn
#

Hollow knight is the goat

shadow palm
#

Wish I had it

lapis veldt
#

Hi

warm umbra
#

Welcome to the server @lapis veldt

lapis veldt
#

Hi

#

I’m Albert Einsteins son

#

@warm umbra

warm umbra
lapis veldt
#

I’m not joking

#

Tell me math equations

#

That’s why I joined the server

#

It’s a math server

#

200x20019191=4,003,838,200

#

200+19292929

#

292929+2929=295,858

#

292919+29292=322,211

#

ez

#

Ez @warm umbra

warm umbra
#

Cool.

neat lintel
fathom swallowBOT
#

Eclipso

lapis veldt
neat lintel
lapis veldt
#

998377337733773377374747447473773733773737373737474474747484839931919919283838475757575757755782838 1828282828182882822828288282828383838288282288283828330200191919101991199191929292922982828282288228829292383929292929929292922992929299999292929292929292929292929292929292922992929292929333399293923892389389283923892382938922892292992929292838383828282828282828282828828282828229929292929229299229292932292929293x2828828282828282828282+28282= what

leaden torrent
#

please dont spam nonsense

torpid bay
#

what = 0, (mod 1)

fresh comet
slate fog
#

Who did u eat yesterday

#

Sorry english bad

gleaming drift
#

Hi, is there any way to get mathematica for free?

agile fiber
#

check if your school or employer pays for it

gleaming drift
steel blade
#

Wait nah you might need a login i forget

agile fiber
#

see if your school offers an option for remote desktop then

lofty forge
#

@sudden solar The one who came when we started the final question, didn't want to say there because it'd have been awkward

sudden solar
#

I see.

inner mist
#

0.0
Organic Chemistry & mathematics is lobe >:

proper locust
#

did anyone study aerospace engineering here?

tropic pivot
#

Yo

inland hornet
teal juniper
#

cc

signal stream
#

if the eigen value of a linear transformation is a complex number, then how can we visualise the transformation ?

mint breach
#

No I do not require any help

sharp mulch
junior veldt
#

at least in an appropriate basis, which may not be orthonormal

#

there are lots of 2x2 real matrices with eigenvalues +- i that do not at all look like a rotation + scaling in the standard basis

errant dagger
#

Somehow got kicked out of my old account so had to make a new one

#

@indigo jungle you'll be forever missed

faint light
#

so based

true zinc
junior veldt
true zinc
#

ahh oke

junior veldt
#

also hi tcc

storm sage
#

the 2x2 components will be rotation/scaling

#

this works because the complex eigenvalues/vectors will just be conjugates of each other

junior veldt
#

(those that commute with their transpose)

#

otherwise i think jordan blocks will stop you

fresh comet
zealous garden
#

Complex eigenvalues be like

dry geyser
#

yo

storm sage
dry geyser
#

can u guys help me with a doubt

junior veldt
#

i see

zealous garden
#

I don't really get complex eigenvalues either

dry geyser
zealous garden
#

But I assume it has something to do with the skew symmetric maps defined by bivectors

true zinc
storm sage
#

that will still be an invariant subspace

storm sage
dry geyser
upbeat zealot
#

any homeschoolers here?

polar temple
#

No

#

You must be posh

crude ravine
#

Can someone please answer my help post

snow helm
#

@low swallow hi

#

we were discussing

ocean harbor
#

<@&268886789983436800>

radiant sparrow
#

Please don't advertise your server here SCpwease

radiant sparrow
latent edge
#

<@&268886789983436800>

mint canopy
#

I was writing the mute message as you pinged lol

latent edge
#

People not second thinking what they use for their pfp

ocean harbor
latent edge
#

From all sort of pfps, they chose that to use

radiant sparrow
mint canopy
latent edge
#

Imagine having the free time for trolling

radiant sparrow
#

Mind you, there once was someone who had quite a... "questionable" pfp, but otherwise seemed quite chill and genuinely not trying to cause trouble sadCatThumbsUp

mint canopy
radiant sparrow
ocean harbor
#

or buy a different one bleakkekw

radiant sparrow
#

Might as well just replace everything screams

true zinc
#

meow

ocean harbor
radiant sparrow
neat lintel
#

If I’m being entirely honest, I was just joking.

warm umbra
#

Welcome to the server @dry geyser

grave axle
#

Hey random question, I want to study math by myself but I have a hard time generating hard math problems (linear algebra, derivatives, series, multivariable-calc, etc) Do you guys know any good free materials for that? Like a program or something that generates them?

#

Please @ me, I am terrible at responding otherwise

shadow palm
#

@grave axle
There are great resources online that I forgot the names of....

iron nimbus
glossy valve
#

Given the vastness of the universe, it seems likely intelligent life should exist elsewhere, yet we have no evidence of it. Why do you think we haven’t encountered signs of extraterrestrial life yet? Do you believe intelligent civilizations might deliberately avoid us, or that they may have already visited unnoticed?

#

Thoughts?

old oak
# glossy valve Given the vastness of the universe, it seems likely intelligent life should exis...

The Fermi paradox is the discrepancy between the lack of conclusive evidence of advanced extraterrestrial life and the apparently high likelihood of its existence. Those affirming the paradox generally conclude that if the conditions required for life to arise from non-living matter are as permissive as the available evidence on Earth indicates,...

flat sand
burnt ledge
old oak
# burnt ledge We're not looking in the right place. Intelligent life exists in our oceans, and...

The Sea Peoples were a group of tribes hypothesized to have attacked Egypt and other Eastern Mediterranean regions around 1200 BC during the Late Bronze Age. The hypothesis was proposed by the 19th-century Egyptologists Emmanuel de Rougé and Gaston Maspero, on the basis of primary sources such as the reliefs on the Mortuary Temple of Ramesses I...

#

Also I like Douglas Adams's explaination that intelligent forms of life are intelligent enough not to let humans find out about them.

barren anchor
# glossy valve Given the vastness of the universe, it seems likely intelligent life should exis...

option 1. the universe is too big. The distance between planets is large, solar systems, exponentially larger, and galaxies yet another order of magnitude larger.

option 2. we assume faster than light travel exists, and we assume life has the same qualities everywhere.
It would still follow the patterns of biology - as soon as intelligent life evolves, intelligence is the superlative competitive advantage. It depletes all relevant resources around it exponentially, in the course of that depleting all other potentially evolving life of those resources. It is a destabilizing competitive advantage, which destroys the ecosystems, geological systems, weather patterns, every aspect of the environment, because the magnitude of the feedback from it's presence fundamentally disrupts the local environment. It tragedy of the commons the entire ecosystem, and suddenly no longer has the environment it is adapted for. It would probably ask itself fundamental questions about the purpose of birth rate, limitless growth, etc, as it grappled with it's own lack of fitness due to altering it's environment due to it's over-fitness to the previous environment. Probably way before it colonized more than a few solar systems. It would either destroy itself, or it would mature into a more stable pattern of development as a species, with advanced philosophies of ecology, environmentalism, anti-natalism, and genome stability. It may come out of that with some kind of enlightenment, which may include a complete absence of desire to engage with other species.

option 3. we assume faster than light travel exists, and that life does not have the same qualities everywhere
literally, who knows?

#

there are a lot of other options actually

#

like, for option 2

#

could be the dark forest hypothesis

#

(e.g. intelligence benefits from hiding from other intelligence, and instead just keeping total dominion over it's domain of non-intelligent environment)

barren anchor
#

I think it's far, far more likely that limitless growth is just something intelligence questions at some point

#

and as soon as you do that, even with faster-than-light travel, it's like eh

old oak
# barren anchor I think it's far, far more likely that limitless growth is just something intell...

Let me quote Douglas Adams again:

For instance, on the planet Earth, man had always assumed that he was more intelligent than dolphins because he had achieved so much—the wheel, New York, wars and so on—whilst all the dolphins had ever done was muck about in the water having a good time. But conversely, the dolphins had always believed that they were far more intelligent than man—for precisely the same reasons.

barren anchor
#

it's a good quote

hoary palm
#

amazing quote right there

barren anchor
#

I'm kind of hoping the truth isn't just that self-destruction becomes guaranteed at some point

#

that's the darkest one imo

#

also honestly the most likely

#

you give everyone on the planet the supervirus, then what?

old oak
barren anchor
#

1 USD thank you planet nuking supervirus

#

it's just technology. Without cultural, philosophical, and honestly biological advancements keeping pace

#

what can be done?

#

we should all have 0 libido and extremely suppressed emotions

hoary palm
#

I mean cancer just wide spread could be termed as supervirus if it was widespread

barren anchor
#

but here we are, screaming about our balls and pointing at our nukes

vocal vessel
barren anchor
#

not in any way a biologist would understand

#

metaphorically I guess.

hoary palm
#

Yeah I read some... dark stuff of those fancy dogs

barren anchor
#

the three body problem series is really good, cixin liu

#

it tries to understand the situation

#

oryx and crake, also good

vast wraith
fresh comet
whole horizon
#

but we do need less emotional leadership at the least

#

or leadership less susceptible to human foibles

whole horizon
sharp swan
whole horizon
barren kettle
#

leadership requires a certain level of vulnerability

dry nebula
#

Whats maths all about

hybrid quest
fading shuttle
#

hi discussy

supple falcon
#

I’m going good I’m math

#

*In

polar temple
#

It's not like weve discovered every species

#

Also what a strange conversation to stumble upon

polar temple
flat harbor
#

my code works now!!!!!!!!

sharp mulch
#

It will stop working in an hour

lament mason
#

Does anyone know how to do statics here?

zealous garden
lament mason
#

Not that statics 🥹

zealous garden
#

Unplug the RCF from the TV

lament mason
#

I mean the one that deals with forces acting on bodies in equilibrium..

onyx mural
#

I’m assuming in october you’re probably doing moments, equivalent systems, two force members etc?

timid bronze
#

@fresh comet Do we agree @velvet dagger has good handwriting

fresh comet
#

Dami's handwriting is much better than mine

jaunty ibex
#

@junior veldt I read your blogs, they were a nice read

storm sage
#

because he's a sloth

#

get it

timid bronze
timid bronze
jaunty ibex
#

How's everyone doing?

ocean harbor
#

I think I broke my sleep schedule again sadcat

#

wbu

livid night
#

chat 2

#

im so hungry

lament mason
#

It's in the help forum

dreamy gulch
#

Hello

velvet dagger
#

LMAO that's my analysis prof's handwriting not mine

#

This person's handwriting is known to be a strain to read lmao

#

Though the prof is goated, this class (measure theory) was one of my top 3 favorite in undergrad

#

My handwriting is better when I'm writing slow and... Probably still better when I get rushed but is definitely rough