serious-discussion

[cold needle]

WHAT

NO FCK U

i m removing that pin

there will never be any pins in discussion 2

[pale orchid]

i went back in time to pin what i deemed the first pin-worthy message in the channel

[inner finch]

lmo

[pale orchid]

laughing my off

lingmao

[neat lintel]

chmonkey daddy?

[inner finch]

lingmao

[cold needle]

no...

[jovial ember]

[keen gorge]

does anyone here know about edgenuity, anyone ever taken it before for a school class?

[cold needle]

NOOOOOOOOOOO

you ruin the sanctity of this channel

i am coping so hard

[pale orchid]

https://tenor.com/view/you-coping-cope-coping-mushroom-copium-gif-21683108

[wild jay]

edd be looking hot today

[deep mango]

[inner finch]

sus

[deep mango]

#the-teapot when?

[pale orchid]

#the-sus-vent

[light needle]

guys a venting channel already exists

its ryc's DM

[pale orchid]

questions0

[light needle]

feel free to go vent there

[leaden torrent]

#「the-sicilian-bull」

[frosty zinc]

I found it, somehow....

[leaden torrent]

fits the aesthetic i think

[deep mango]

[blazing pawn]

venting channel is #『staff-summaries』

[neat lintel]

which field of maths studies elliptic curves?

[serene parrot]

all of them

[leaden torrent]

principally algebraic number theory and pals

(arithmetic geometry, etc)

[bronze pelican]

Complex geometry too

[neat lintel]

so several different related fields of math study it?

[bronze pelican]

Riemann surfaces, complex analysis

Yes

[neat lintel]

nice

[bronze pelican]

Riemann surfaces are at the intersection of every branch of math

◉◡◉

[last oxide]

welll

[wary swift]

Yami!!!!!

Hiiiiiii!!!!!!!

[bronze pelican]

Hi

[wary swift]

its been a while :o

[bronze pelican]

You're back in the server

[wary swift]

ya!!

[neat lintel]

welcome back

[wary swift]

thank uuu

although im not sure

i met u back then

[neat lintel]

nah

because i saw you've been here even before i was here

lol

which sounds like you're technically emeritus

[wary swift]

ahhh ye but i think the emeritus role is for the people that were here even before i was here

and i think its also under the condition that i had like an active role?

[brave hollow]

emeritus is just (had very active at one point) I think

[wary swift]

but then didnt?

o right very active

i had the active role but not very active

when woog first had us guess the role

but then life happened

[tall badge]

no it's purely history based

you can have emeritus w/o ever having had at least active

[wary swift]

rokabe!!!!

when is game night

also i thought honorable was for non-straight people

how come everyone has honorable role now

[brave hollow]

everyone is non-straight now

[wary swift]

im very confuzzled

[tall badge]

idk whenever ppl are free & join vc, it's usually unplanned

[tall badge]

also what

[wary swift]

i thought i remember

that once upon a very long time ago

that angetenar negotiated for honorable role cus he was gay >_>

so i was like

ok

[deep mango]

[wary swift]

honorable -> non straight people

[deep mango]

ange pushed for me to become honorable (honorary gay) and that was the end of it.

[wary swift]

_>

wa

o there's a talk on oct 23???

nice

[deep mango]

[wary swift]

yes thank u for ur name

v nice reminder

for everyone that sees your messages

[tall badge]

ppl get honorable by mod consensus/ivory nomination, that's all

[wary swift]

oh

i see

[carmine osprey]

i have a sequence (xn) defined by |Xn+2 - Xn+1 | < or = to C|Xn+1 - Xn| where C in (0, 1). Am I right in assuming the way to start this is to first show the sequence defined by (Xn - Xn-1) is cauchy?

Sorry I have to show the original sequence is cauchy

[light needle]

ryc still coping about sexuality i see

[bronze pelican]

Rycope

Ryc cyclicly permuted is cry

[devout nacelle]

This would be better asked in #advanced-analysis

[swift sinew]

Back at it again with the (apparently stupid) channel suggestions. But would an #Advanced-questions channel for very general questions in advanced topics be useful?

I’m gonna doxx myself here but sometimes it’s hard to know exactly what channel an advanced question should go in if it’s too basic to feel included in a particular subject but feels too advanced for a questions channel.

[devout nacelle]

I think it's safe to go for an advanced channel, like an intro analysis question would be much more likely answered in #advanced-analysis than in a general question channel. If it really doesn't belong there, you'd be pointed to a more appropriate channel.

[wary swift]

@devout nacelle the period in your name is very passive aggressive.

[devout nacelle]

I see.

[wary swift]

yeah.

you might scare people off

[deep mango]

.

[steep mountain]

.

[wary swift]

.

[broken scaffold]

.

where is catmando

I literally just learned about the capital of nepal

shook my world

[lone lagoon]

any mathers in chat

[gentle bay]

.

[clever knot]

Ski offtoptic

But are you from Canada?

[restive pumice]

ok

no

US

[clever knot]

Nvm then

I just never heard marks much until I talked to some people from Canada.

And the use of washroom instead of bathroom

But the masks thing I guess is probably a class by class thing

[restive pumice]

yeah bc on my last exam, i had to find horizontal asymptotes of a piecewise function and so i took the limits to infinity and negative of both of the pieces to the function. i took the limits incorrectly, so obviously that’s wrong, but i clearly showed that i know what a horizontal asymptote is and how to get it

for this, i got ZERO points. i could’ve just left the question blank or drawn a picture of a dog and gotten the same thing. if the point of marks is to rate my understanding on a scale of 0-10 in this case, and i showed i know what it is and how to do it (just used the wrong numbers) how is that equivalent to ZERO

[clever knot]

Yeah

Depends if your prof gives partial credit

[restive pumice]

they do

[clever knot]

Was it an open ended question

[restive pumice]

but prof isn’t the one who grades the exam

like for a diff question i didn’t rlly know what i was doing so i wrote some relevant formulas and plugged in what i could

[clever knot]

Or was it like idk multiple choice or select answer after you did all that work

[restive pumice]

but didn’t even get a final answer

and got 7/10

[restive pumice]

not multiple choice, just blank you fill and then circle answer

[clever knot]

Guess they just felt you were way off

But that's a bummer

[restive pumice]

yeah idk. i just don’t like how my biggest worry in college so far is which grader i’m going to get

[clever knot]

Hard to say without seeing question and exactly what you put

[restive pumice]

i appreciate the sympathy brother

i might have a pic

here hold on

here

part b

is worth 5 points

top portion i only found 1/2 of the limits correctly, so i get 1/5 points

……🤔

[clever knot]

Horizonal asymptotes is just end behavior where y goes as x gets very large In either direction (+ or -)I believe.

I don't think you were suppose to check it for both parts of the function when like how you did +inf for both parts and -inf for both parts

Which might be why it was scored how it was

If I recall that is how you get your horizontal asymptotes

And given it was a piece wise you still only should have had 2 limits being tested and not 4

Just for the 2 directions of x

Is that why there is a big slash over the last limit?

[restive pumice]

not sure. we went over the problem in recitation

and she set it up the same exact way i did

i just evaluated them incorrectly

[clever knot]

So you tested 4 limits?

[restive pumice]

yes

[clever knot]

Do you have work of that

[restive pumice]

nah

was on the chalk board

[clever knot]

Seems weird that that would be done

[restive pumice]

but when i got the reply from the grader they told me that “ I would not give him any point just because he knows he should compute a infinite limit.”

[clever knot]

Seeing the sides are only defined when. X>0 or x<0

Respectively

[restive pumice]

well thanks for running thru it w me at least

[clever knot]

Guess some grades can be like that. I don't know if maybe the prof has a rubric of what they exactly expected

And what warrants a 5/5 vs 1/5 etc

Sometimes it is just like that :/

[restive pumice]

yeah, kinda sucks haha but like i said thanks

this exam i think i did ok i understood everything (except 1 question) but i made lots of small errors

[stone valve]

how do i graph arg(z) stuff

[restive pumice]

leading me to get a wrong final answer, but the right process

[sonic sentinel]

gen x is so little stereotyped that in jokes about generational differences, gen x-ers just end up sounding like normal human beings

[neat lintel]

Anyone wanna see a funny video lol

[neat lintel]

no

[devout nacelle]

TTerra hates funny

[pale orchid]

that explains everything

[hard ore]

that explains nothing since everything is nothing

[neat lintel]

yes!

[neat lintel]

@neat lintel

Lmao

[burnt dune]

is there a difference

between professor and dr

haha

[surreal sapphire]

ye, i can tell they are different words

[burnt dune]

😠

yo

do yoiu know what

a spectrum map is

in the context of networks

and shit

[surreal sapphire]

no

[primal crater]

no

[sick kite]

no

[deep mango]

no

[toxic schooner]

no

[wary swift]

shhh. dont listen to manan

[toxic schooner]

[wary swift]

hiii shyshu

whats the golden water

[toxic schooner]

something yohan asked me to change my name to

[wary swift]

LMAOOO

[deep mango]

[wary swift]

yohan and his

hmmm

creative

uh

[toxic schooner]

?

[deep mango]

i will not stir up drama

just

[wary swift]

yeah

[toxic schooner]

why so serious sad ryc

[wary swift]

o

hmmmst

[toxic schooner]

@yohan

wait what

[wary swift]

shhhh shyshu

[neat lintel]

[deep mango]

and do not speak of this any longer

[wary swift]

yeah

[toxic schooner]

[wary swift]

its best not to

[toxic schooner]

well ok then

[deep mango]

everything is ok of course. just a silly situation.

[toxic schooner]

[wary swift]

ye ye

[toxic schooner]

i see

[wary swift]

a slip of the mouth a bit of a mishap all at the wrong time & place

[deep mango]

lol

[neat lintel]

Hey, what are you up to people?

[deep mango]

i am desperately trying to remove lines from this research proposal

so that i can submit this application

it is now 14 lines above 2 pages

it used to be like 25

getting there

it's just very frustrating to do this

[neat lintel]

[neat lintel]

what's it like doing a PhD in maths?

and what do you research?

[sonic sentinel]

are there any specific examples of privacy violations doing good for society

[steep mountain]

after a week of dry theory and attempts of understanding abstract LA im reaching that "oh its clicking now lets fking go" stage

[wary swift]

im desperately trying to remove lines from my life

[neat lintel]

I'm desperately trying to find a way to stop procrastinating

[neat lintel]

Nicee, it gets easier after it 'clicks'.

[steep mountain]

until you start the next chapter

then its back to dry theories

[neat lintel]

Or the next page in general.

[wary swift]

but ryc u can maybe look thru and see if u can find more concise ways of saying something

[steep mountain]

👌

[wary swift]

same

[steep mountain]

how do you guys address procrastination

seems like a fun discussion

[neat lintel]

I avoid the topic.

Then I fail classes.

Repeat.

[wary swift]

honestly yeah the first step is always the hardest

but i think procrastination also stems from your lack of confidence that you can get it done

[west basin]

tbh i procrastinate when the motivation to do something isnt there

if there is a reason i need to get it done then i cant procrastinate

but my df brain finds reasons to make the work less imp

[brave hollow]

just procrastinate on procrastinating 4head

[west basin]

leading to procrastination

fml

[steep mountain]

i usually just raise the stakes to myself like "its either that annoying task or the constant feeling of regret" raise the regret feeling enough and its better to do the task than not to

[wary swift]

yeah just put on your good calendar the due date like 3 days beforehand

so u panick

3 days beforehand

and then finish it

:^)

[west basin]

like for instance, i have an exam on monday

i have no motivation to study rn coz ik tht subject has little to no implications in my life

and i cud just cheat my way through

[steep mountain]

gotta do what you gotta do

[wary swift]

cant relate

all my classes irl this sem

[west basin]

damn

[steep mountain]

you con convince yourself its fun

[wary swift]

me in my ML class

[steep mountain]

"man im telling you discrete math and graphs are actually fun"
Nope nvm doesnt work

[deep mango]

i am almost done with my first pass doing this. i'll probably have to do another pass

which is ok

at least so far i haven't had to remove a big section

[west basin]

studying isnt meant to be fun tho

coz if it was then everyone wud do it

[neat lintel]

Tfw you wait for the 'round hour' to start studying but you procrastinated for a minute too long and you have to wait for the next round hour to start .

[steep mountain]

if its something i like its fun

[deep mango]

i've just started so i'm still taking classes and meeting people. i don't have an advisor yet or anything

[wary swift]

convincing myself and others that its fun

[deep mango]

i'll be taking classes for another year or so, basically the first two years are the "masters phase" of the program (even though it's just one 5 year phd program)

[wary swift]

:o gl!!

[steep mountain]

thats a thing?

i guess they do it different here

[neat lintel]

so you do actual research after taking classes and writing exams?

[steep mountain]

2 years master then phd

[deep mango]

in america in math that's very common

but it's not the only way it's done

in europe and in other places it's usually split

[wary swift]

ye there's tons of stuff

[deep mango]

yeah, well you start doing some actual research beforehand too

[steep mountain]

well ye cause you might just want the masters you know

[neat lintel]

oh nice

[wary swift]

like we have options to do accelerated masters

[deep mango]

i've just been working on finishing up a lot of undergraduate research

[neat lintel]

what are you doing your PhD on?

[wary swift]

and take grad school classes in undergrad

[deep mango]

so i haven't started anything new yet

[neat lintel]

like what specifically?

[wary swift]

math

[steep mountain]

probably math

[west basin]

i think music theory not sure

[wary swift]

pure maths

[steep mountain]

analysis and pdes according to about

[wary swift]

[deep mango]

partial differential equations and dynamical systems, most likely in fluid dynamics. i'm really interested in the phenomenon of turbulence cascades, which is when you see big spirals in fluids break up into smaller ones, and then smaller and smaller and so on until they create turbulence at tiny scales.

the equations that describe this are big and nasty but they are very interesting from a math theory perspective!

[neat lintel]

oh wow that sounds super interesting, so would you be working with the navier stokes?

[deep mango]

yeah

[west basin]

basically fluid mech but on steroids

[deep mango]

and similar fluid equations

(but they're all derived from euler / navier stokes)

[deep mango]

sure, super theoretical fluid mechanics

[neat lintel]

lol I swear euler's worked on literally every field of maths, you see his name everywhere

[west basin]

yeah he was smart

[deep mango]

here is one of the equations i had to type up on the lecture notes i'm currently writing for this subject:

lol

that's all 1 integral on the right

over like

[neat lintel]

damn that looks awesome

[deep mango]

it's a (4d+2) dimensional integral where d is the space dimension

lol

horrible

[neat lintel]

+2 ?? two time dimesions? lol what?

[deep mango]

i mean if you know what all the pieces mean it makes sense

[deep mango]

oh whoops d is not the dimension

[pale orchid]

looks the the dimensions are separable for the most part tho

[deep mango]

it's the number of collisions

that was silly

anyway

[deep mango]

omega is a function of p

[pale orchid]

[deep mango]

so only if you can use some independence on the product under the expectation

[pale orchid]

yea

[deep mango]

(which you can, in particular cases, and then the challenge is showing that the other cases are small)

but yeah, this is the general idea

[toxic schooner]

[mint patio]

vector arrows are so ugly when you don't handwrite them

[pale orchid]

what are vector arrows

[toxic schooner]

$\vec{A}$

[fathom swallow]

ryc. (#talks Oct 23)

[deep mango]

how is this ugly

[fathom swallow]

Shyshu of the Golden Water ✓

[toxic schooner]

[neat lintel]

it's not

placed

correctly

[deep mango]

[neat lintel]

it should go over it completely 😤

[deep mango]

is there a widearrow

there's widehat and widetilde

[mint patio]

yeah it;s off center and when you have primes and shit too it looks gross

[toxic schooner]

$\widearrow{A}$

[fathom swallow]

Shyshu of the Golden Water ✓
Compile Error! Click the reaction for more information.
(You may edit your message to recompile.)

[deep mango]

widehat is basically necessary

[toxic schooner]

sadge

[mint patio]

opencry

[fathom swallow]

ryc. (#talks Oct 23)

[pale orchid]

i prefer just bold

but idk

[mint patio]

which do you prefer I kinda like the first one more

but yeah bold is best

no clutter

,

[pale orchid]

once you go bold

you never go cold?

idk

[mint patio]

it never gets old

once you go bold you never go back 😎

[deep mango]

alrighty then, when is better?

[sick kite]

widearrow, smallhat

correct opinion

[fathom swallow]

ryc. (#talks Oct 23)

[pale orchid]

the RHS is considerably cursed

[toxic schooner]

[fathom swallow]

swifteeee

[pale orchid]

that's why you use bold, anyway

[sick kite]

^that is hella clumsy

[surreal sapphire]

how do you emulate bold on blackboard or paper though

[ancient flame]

you darken the shit out of your letters until it rips through the paper

[pale orchid]

you draw a fuckton of squiggly lines

at this uni they like using ~ for matrices, _ for vectors, double ~~ for multilinear maps

[deep mango]

[pale orchid]

or better yet, just einstein notation

[surreal sapphire]

triangulating your location further based on notational quirks

[pale orchid]

another one is denoting fourier transform pairs like this

exaggerated cuz track pad

[surreal sapphire]

🗒️

[clever knot]

What is the little bold or hat thing suppose to denote in this context

Vectors?

[vivid halo]

f^ is the Fourier transform

[mint patio]

uhhh idk I would use the first when I don’t have to superscript other stuff

[neat lintel]

second is the best

[pale orchid]

which do you prefer, $$\prod_{n=1}^N a_n = a_1 \cdot a_2 \cdot ,, \dots ,, \cdot a_N$$ or $$\bullet_{n=1}^N a_n = a_1 \cdot a_2 \cdot ,, \dots ,, \cdot a_N$$?

[fathom swallow]

Edd

james_ash_.

[pale orchid]

😌

[outer lion]

Second one isn't true right?

[clever knot]

so is there that same notation but with a + sign instead of a dot? (regarding the bottom one)

$$\plus{n=1}^N a_n = a_1 \cdot a_2 \cdot ,, \dots ,, \cdot a_N$$

😦

[outer lion]

I assume it's a dot product , and you can't take dot product between a scalar and a vector

[pale orchid]

i made it up

[inner finch]

I mean i guess the 2nd one can work

[pale orchid]

and cdot need not be a dot product, it would only make sense if it's scalar mult

sure, it would be valid

just kinda cursed

imagine writing that on paper

just go HAM with a marker to draw the symbol

[inner finch]

idk it feels kinda quicker perhaps superior

[pale orchid]

faster, stronger, harder, better

synth noises

[inner finch]

harder better faster strong

tononononontunununnununntuonoonono

[outer lion]

[deep mango]

$\prod_{k=1}^n a_k = a_1 \coprod \cdots \coprod a_n$

[fathom swallow]

ryc. (#talks Oct 23)

[inner finch]

multiplication is just a special case of dot product

[deep mango]

Wait this makes no sense

Whatever

[pale orchid]

it does

in R^1

[inner finch]

yuh

[deep mango]

When I write lots of dots everywhere. I just mean multiply all the things in whatever way you can

After all scalar multiplication commutes with dot product in each component

[inner finch]

ryc when he tries multiplying two sentences together

[pale orchid]

a sentence is something that transforms like a sentence

[frosty zinc]

Are the sentences elements of a vector space though?

[deep mango]

$\bigtimes$

LOL that works

[pale orchid]

$\goodtimes$

[fathom swallow]

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

[inner finch]

inshallah brother

[pale orchid]

[inner finch]

omg

[fathom swallow]

ryc. (#talks Oct 23)

[deep mango]

[pale orchid]

cartesian products have never been easier

screw R^n

[frosty zinc]

[pale orchid]

let $\boldsymbol{v} \in \bigtimes_{n=1}^N \mathbb{R}$

[fathom swallow]

Edd

[pale orchid]

there we go

is there a bigplus?

[deep mango]

Lol

bigminus

[pale orchid]

bigchungus

[deep mango]

Someone literally put out a whole ass sink at the bulk item disposal

Wow

[pale orchid]

it happens

[deep mango]

A very old sink

[pale orchid]

i saw a fridge and an old sink at the last one

also mattresses with bed bugs

[deep mango]

Wow

Lots of mattresses here

Busy day

[pale orchid]

oof

[neat lintel]

let $\boldsymbol{v} \in \bigtimes_{n=1}^N \mathbb{R}$

[fathom swallow]

Venti

[neat lintel]

so smort me

[wary swift]

[inner finch]

ccate

[wary swift]

caat

[neat lintel]

create

[steep mountain]

do all math books like to tease out certain ideas before defining them

or is that just an oldschool books thing

[vast surge]

Honestly that seems to just depend more on the author's style.

Sometimes a book will hint at an idea then define it, other times it will define an idea then provide motivation and examples, other times it will define something and not provide any motivation or examples at all. (Option 3 is very rare, in my experience).

[atomic cypress]

Motivate a definition so you don't just get smacked with a paragraph of what a partition of unity is.

[untold sapphire]

Yeah i agree i would say for a completely unprepared reader, some definitions are going to be impossible to parse unless you give examples ahead of time

hartshorne's definition of a sheaf hit me like a truck

[fathom swallow]

john82625

[crystal stone]

Hey if I went through it that must mean it's ok, I mean I survived

[tame ferry]

hey all, random question because i am an undergrad thinking of going to grad school in math - what exactly are the benefits of going into a higher-ranked math program? i get that in other subjects some schools have much more equipment, but does that apply to math too?

[crystal stone]

If you want to be an academic mathematician it will help you find a better post-doc

if you want to work in industry it will help you network at better companies

[tame ferry]

so it’s largely about the prestige then?

[bright locust]

Yes

It might also help you find new discoveries in math

[gleaming pasture]

You guys know any good free math courses for someone who is transitioning to uni maths from A-Level maths

[tame ferry]

interesting, ty for the answers!

[gleaming pasture]

Even books would be helpful

[tame ferry]

could you elaborate what you mean by this? is it bc the profs you’ll be working with will be “better” for lack of a better word or what?

[bright locust]

I think so

[gleaming pasture]

Wrong place to ask?

[deep mango]

Consider MIT OpenCourseWare's courses.

Specifically the calculus/multivariable/linear algebra ones.

[deep mango]

i will add that it's not just "prestige." it's about connections and networking. if you go to a big name school and all you get out of it is a big name, but you don't know anyone, then you're not going to have a good time with continuing in academia. on the other hand, if you make good connections with advisors and other people in the research field, then you're in very good shape. this is facilitated massively at a high ranking program which has faculty that are the top of their fields, has the clout to invite profs from other unis for seminar talks, etc.

also higher ranked programs are probably more likely to pay you more.

[tame ferry]

thank you so much for the in-depth answer!!

that totally makes sense

you mention seminar talks - is it a good idea to try and network with ppl that talk at your school? my college is having a speaker on geometric group theory and it seems really interesting

and i go to a tiny college so it'll probs be a small lecture

[deep mango]

i mean you don't have to at first definitely

that comes more later on when you have like

meaningful questions to ask and stuff

lol

[tame ferry]

good point lolol

im gonna go to the lecture anyway it seems interesting and i have the suggested background

maybe I'll have qs i can ask my groups prof or the speaker

[atomic cypress]

also higher ranked programs are probably more likely to pay you more.

except UC system schools

if you get a medical condition at a uc system school you're literally going to die

because you wont be abble to afford shit

[sonic sentinel]

are there any good examples of mass surveillance being used to find national or international criminals from very little information? i want to use in my speech before presenting why we should be concerned

[untold sapphire]

not about criminals but Target's advertising data-crunching algos realized a woman was pregnant and started marketing pregnancy materials to her before she did

[sonic sentinel]

yes but my speech is on government surveillance

very hard to connect the ideas

also its not that target knew before she did, its that target knew before her dad did

its surprisingly hard to find the type of story im looking for...

[mint patio]

I heard about this, so crazy how we made those programs lol

[sonic sentinel]

or maybe we are talking about different stories?

[velvet dagger]

@vivid halo ready for Sp_4?

[vivid halo]

I am going to sleep

Sometime tomorrow would be better if you want me to chime in

[velvet dagger]

Oh just because you asked me to lol

I'm fine with just rambling

So

[fathom swallow]

Sloth King Daminark

Sloth King Daminark

[mortal igloo]

Ah, automorphisms of a vector space equipped with a nondegenerate alternating bilinear form

[velvet dagger]

So let's say we're over R, what's the Lie algebra?

Or first off is it even a manifold?

Well

[compact tartan]

as long as the dependence on M is not degenerate (inverse function theorem)

[fast ivy]

Oh shit, Sloth is going to start talking about symplectic forms and the symplectic group

[velvet dagger]

So I guess let's differentiate the equation first

Just at the identity

[sonic sentinel]

symplectic boogalo

[fathom swallow]

Sloth King Daminark

[mortal igloo]

One can conclude it's a Lie group by the closed subgroup theorem

That takes care of the manifold question

[velvet dagger]

Yeah and this computation tells us what the Lie algebra is

I guess the direct way to conclude it's a manifold is to say that f should land in skew-symmetric matrices

And say something something regular value theorem

[fast ivy]

I had to prove this and compute its lie algebra on my first symp geo hw assignment

I also had to prove it is not compact

[mortal igloo]

Fun fun fun

[fast ivy]

Yeah, it is a fun question

You can prove it is a manifold by just applying the regular level set theorem/preimage of regular values theorem

[mortal igloo]

I just used the fact that $M^T\Omega M=\Omega$ is a collection of polynomial equations in the coefficients of $M$, which makes the corresponding subset closed in the Zariski topology, therefore also closed in the Euclidean topology

[fathom swallow]

Icy001

[fast ivy]

But you'd also have to check the operations are smooth too

Which kind of sucks

[velvet dagger]

I mean

That shouldn't be the difficult part

Matrix multiplication is polynomials

[fast ivy]

Yeah

[velvet dagger]

As is inversion

[fast ivy]

Just that the closed subgroup theorem is a way more direct way to very Sp(2n) is a lie group.

[velvet dagger]

So operations are just "polynomials restricted to a submanifold"

[fast ivy]

But like, this feels almost as too damn overpowered lol.

You don't need this.

[mortal igloo]

It nicely explains why every matrix group sitting inside GL_n you have ever seen happens to be a Lie group

[velvet dagger]

I haven't actually written out the proof of closed subgroup theorem which is why I'm using regular value theorem. Also this gives me the dimension

I guess I should elaborate a bit on this argument

So

Along the lines of the earlier computation

[fathom swallow]

Sloth King Daminark

Sloth King Daminark

Sloth King Daminark

[velvet dagger]

Hmm

[fathom swallow]

Sloth King Daminark

Sloth King Daminark

[velvet dagger]

So almost

Oh well X has to depend on M as well lolol

I guess the nice thing is

[fathom swallow]

Sloth King Daminark

Sloth King Daminark

[velvet dagger]

Okay so

[fathom swallow]

Sloth King Daminark

Sloth King Daminark

Sloth King Daminark

Sloth King Daminark

Sloth King Daminark

[fringe needle]

Dami mathing away to the empty void

[fathom swallow]

Sloth King Daminark

Sloth King Daminark

Sloth King Daminark

[toxic schooner]

what field does all this belong to?

[compact tartan]

lie theory

[velvet dagger]

Oh wait I goofed

I set them equal to each other

I wanted negative

So really

[toxic schooner]

like lie algebra and lie groups and all that?

[mortal igloo]

This is at the intersection of Lie groups and symplectic geometry

( )

[fathom swallow]

Sloth King Daminark

[atomic cypress]

symplectic geometry aka the study of a kind of 2 form

[toxic schooner]

[velvet dagger]

Ugh it's late and I'm tired maybe tomorrow I'll continue

Tomorrow I think the plan is to understand the Killing form on sp(2n), or at least sp(4)

[compact tartan]

a very useful 2-form

[velvet dagger]

And maybe a Cartan decomp, think about Iwasawa

[mortal igloo]

Iwasawa 😄

[atomic cypress]

"a very useful 2-form" cries the symplectic geometer as their life's work gets reduced to what it is, an antisymmetric (0,2)-tensor, aka basically a matrix

[gleaming pasture]

Thanks buddy

Looks very sexy

[deep mango]

[toxic schooner]

[gleaming pasture]

This stuff is really good

Herb Gross is a beast

[deep mango]

It's great. Gilbert Strang's linear algebra lectures are top tier

[light needle]

[wary swift]

john female

interesting

[hollow obsidian]

hi

[covert plinth]

locked chat moment

[harsh widget]

they got caught lacking

[covert plinth]

wym

[sonic sentinel]

wtf they can ping the instant frame they join the server?

[neat lintel]

👀

[surreal sapphire]

lmao @ namington telling me to check my pings if i randomly got pinned (he noticed)

[sick kite]

dyno is dogshit

just in general

hm

[leaden torrent]

yeah theres literally no way to stop this

we can slow it down

to catch it earlier

but theres no way to preemptively stop mass pings

if discord had a mass ping disabling toggle, thatd help a lot

[sick kite]

I know some other servers have verification stages

as in manual verification

before a user is let in

[leaden torrent]

some of our target audience literally cannot go through that process for some reason or another

[sonic sentinel]

have verification to allow pinging individual users?

[leaden torrent]

discord phone verification doesnt work in the prc for example

[sick kite]

hm

[sonic sentinel]

people's republic of china?

[sick kite]

how old are the accounts joining and mass-pinging?

[leaden torrent]

theyre actual accounts

like they just joined the server but

the ages vary

[sinful sedge]

hope the spam bots get banned from discord

[sick kite]

hm

[leaden torrent]

since theyre real compromised accounts

[sick kite]

Yeah I see

[leaden torrent]

thats another reason phone verification wont fully stop it

[river linden]

bots? If user is spamming pings immediately mute them? though the mods here are so active idk how much it would help

[sick kite]

they already get banned right

[leaden torrent]

note the word "preemptively"

yeah of course lmao

[sonic sentinel]

no they're still lurking

[river linden]

ah

[leaden torrent]

yeah you can ping literally as many members as you can fit in 1 discord message

which is typically like 100-200

in theory, if someone had like 1000 bots

they could ping literally everyone

and we'd have no way to stop em

[compact tartan]

4000

if you're rich

[leaden torrent]

okay 100-200 is an overestimate then

[compact tartan]

a mention is 21 characters

[leaden torrent]

but its a lot

[compact tartan]

no it's not so wrong

95 without nitro, 190 with

[leaden torrent]

the only hard solution to this issue would be on discords end

like, similar to toggles that disable everyone pings

[sonic sentinel]

hold on is it possible that an invisible character at the start of your nickname sends you to the bottom of the list? then we could have a verification system to essentially protect you from pings

[leaden torrent]

have a "disable mass pings" toggle

[compact tartan]

how about your idea with the weeb dude

[leaden torrent]

if you ping >5 users in 1 message

[compact tartan]

you know the one

[leaden torrent]

the ping doesnt go through

[river linden]

probably randomly picks users

[sonic sentinel]

people who don't care about being pinged would be the ones who end up being pinged

[leaden torrent]

the 2 that hit us went alphabetically

but yeah

[river linden]

thats awfully lazy of them

I'd at least prioritize online users

[sonic sentinel]

they do im pretty sure

[river linden]

ah

[sonic sentinel]

lol the bottomest online person right now is a person with no name

[neat lintel]

best mod

also is said person just randomly pinging people left and right?

I think there a couple nice bots that can prevent mass mentions

[leaden torrent]

they cant prevent it

they can limit it

@quasi jetty should now do that too.

[neat lintel]

Better than nothing

[clever knot]

what happened?

I missed it, was it another raid?

[neat lintel]

Ah

[clever knot]

i didn't even get pinged :/

oh

[hoary meadow]

who raids a mathematics server

[neat lintel]

It just has many people

Doesnt matter what it is

Raiders just look for big servers

Thats it

[clever knot]

so you said the math bot can now handle this case?

[crystal stream]

didn't get pinged

so it worked I think

by the way, can I get my og name for this server?

[clever knot]

by mods?

oh

[crystal stream]

the one I have rn

didn't want to annoy mods but since you're here

thanks

[clever knot]

does the bot read through messages before they are sent through the server or is that not possible?

or can the bot only react to the messages

Idk how discord registers a ping but i assume you could count the number of @ ? unless there is a way to react the exact pings in a message

although what i suggest sounds a bit naive

[stray kite]

most bots i know do that

i have it set to mute people when pinging > 5 people in some message and it works

[clever knot]

yeah so there is no way to prevent it but just quickly remove it after it happens?

and then idk ban user or something

[toxic schooner]

why do i have 3 pings in discussion lmao

oh

[neat lintel]

What happened to discission 1

[clever knot]

seems it is under lockdown because of that bot spam or whateer

[uncut totem]

hey guys does anyone know algebra 1 here

???

anyone?

[steep mountain]

no this is a math server full of people who don't know algebra 1

[crystal stream]

yes, #❓how-to-get-help

[eternal shard]

hello

can i ask off topic

is zone of life is earth??

[uncut totem]

oh well ok

[eternal shard]

hello sir

[hollow obsidian]

yeah it is!

[tame ferry]

my thing ended early i can go to the talk let’s gooo

[primal crater]

wait why don't I have permission for discussions-1?

[tame ferry]

there was a raid n the staff want ppl to see the message

rather than having to @ everyon

[deep mango]

Talk starting in 3 minutes!!!

[tame ferry]

hell ya

[primal crater]

oh so I wasn't muted or anything

[gentle bay]

Yess.

[primal crater]

talks about?

[river linden]

#events

[gentle bay]

Dynamical Donuts.

[tame ferry]

i hope this talk isn’t interactive my voice is so fucked from my cold LOL

[gentle bay]

I mean you can use the chat lol.

[wraith radish]

Just joined math sorcerer abstract algebra course on udemy. Pretty awesome

anyone tried ?

[primal crater]

NO

[wraith radish]

okay

[gentle bay]

That guy is famous lol.

[wraith radish]

YEAH, tried many abstract alg on youtube... But only this one I found helpful

atleast to me

but for calc I would definitely go for professor leonard

[cunning silo]

Lol there's a talk right now, where is the zoom link?

[river linden]

#events

[steep mountain]

#events message

[sick burrow]

Lmao #discussion got nuked again

Why so many spambots recently

[vestal river]

Is ryc’s talk still going on or did I miss it??

[steep mountain]

closed a minute ago

[vestal river]

😔

[neat lintel]

Yes

[sick burrow]

I know the basics

I've only fully read the first chapter of Jacobson's book

Don't even know any module theory

[brave hollow]

nerd

[neat lintel]

I know 1 + 1 = 2

[neat lintel]

I know algebra 1

In fact I’m way beyond that. I’m taking calc i with analytic trig

[wary swift]

calc i

[neat lintel]

Same. Im starting calc i suppose

I want to learn it

Its fun

[wary swift]

what is calc i

is that also calc 1

_>

so does it go like calc i, ii, iii,

[brave hollow]

calc i is roman calculus 1

[wary swift]

oh

such a interesting

[brave hollow]

so old theory

[wary swift]

way of putting it

interesting

i know calc i too

although after quite some time

i find it very hard to differentiate what i learned in calc 1, 2, and 3

it just all mushes together?

dunno if anyone else relates

[brave hollow]

I never learned calculus in numbers

I learned numbers in calculus

[wary swift]

[neat lintel]

Whos cat is it in like

The emojis

[wary swift]

Idk

Might just be a random cat

[sick burrow]

imagine learning numbers in calculus

calc just presupposes the existence of the real numbers

an existence that is a LIE propagated by BIG ANALYSIS

[brave hollow]

blame tao

[sick burrow]

why stop at tao

Cantor was a crank

[wild lantern]

Euclid was a crank too.

[toxic prism]

can someone know

the list of my friends on discord

by looking at my profile

[nimble shuttle]

[swift sinew]

I was an idiot and missed Ryc’s talk. Does anyone know if it was recorded anywhere?

[brave hollow]

they said they will record a version for youtube and post it

[whole bough]

me too

[swift sinew]

Muchas gracias. Do you happen to know their YouTube account?

[brave hollow]

they will post it in talks

and no

[serene oracle]

is this going overboard with toasting engineers in a research paper?

[serene parrot]

no reason

[leaden torrent]

its a lame joke

[pale orchid]

in fact, all of the stuff you wrote there is trivial and could be removed

unless it's like a manual for high school/undergrad students

[limpid venture]

I as an engineer have never approximated π=3 or e=3

So where does this meme come from???

The approximations we make are mostly on the theoretical level (e.g. approximating circuit design and other design complications)

[pale orchid]

you'd never do that in circuits cuz you'd fuck up the signal phases, idk

it would make printed circuit boards useless 😛

[distant vortex]

I think it makes a lot more sense to approximate 3 as pi or as e than the other way around. sin(3) ~ sin(pi) = 0 so sin(3) is smol

[pale orchid]

sin e

[compact tartan]

I have estimated pi = sqrt(10) occasionally

when doing order of magnitude calculations

by which I really mean, log_10(pi) ~~ 1/2

[neat lintel]

.

[deep mango]

Maybe you should so you know how to refer to them...

[neat lintel]

<@&268886789983436800> parents intelligence shows transphobia

[deep mango]

What classic timing.

😵‍💫

[meager sonnet]

I don't see what you mean about me

oh

lol

[deep mango]

Uh????

[meager sonnet]

can't prove it

bye

[deep mango]

What a garbage user for the 10 minutes they were here.

Talking about diarrhea attacking people and stuff.

[neat lintel]

they literally talked incoherent gibberish

[pale orchid]

seems i missed something dumb

😌

[inner finch]

😔 me when the moderators do their job and i dont get to see the shitshow

[deep mango]

it was boring

just "lol i refer to someone by it because pronouns in profile lol! btw what's transphobia?"

[inner finch]

lol what

big brain moment

[steep mountain]

what are the best options to sorta bridge your way from meh undergrad college to good grad school somewhere internationally

[mild nebula]

It's wrong. Over-approximating isn't a systematic error. Even if someone is bad at their job and over-approximates, the data may still be error-free and someone else could get good results.

Note that, as others have said, π = 3 is a meme and isn't actually done by any real engineers.

The other two are wrong as well. Note that "error" doesn't refer to "I couldn't do this well enough so the answer is wrong lolol" (Assume that you, yourself, are perfect) but instead refers to "This factor is impossible to finely control, and as such will result in inaccuracy in the data"

An error is systematic if you can always predict which way/how much the data will be off.

.
It sounds like you're doing chemistry. A common error is "transfer of reactant from one container to another".

You can't possibly get ALL out, no matter how much you try, and the end result will be less product. So, this is a systematic error.

[icy forge]

I wonder if someone believes engineers take pi=3 as fact should be responded to seriously

[wary swift]

[wild lantern]

Approximating pi as 3 is actually fairly useful if you just want to do rough approximations in your head.

[narrow rock]

I approximate 3 as pi

[wild lantern]

Tbh I approx e as pi.

[distant vortex]

Based brotherford

[wild lantern]

Lmao

[narrow rock]

lmao

[toxic schooner]

lmao

[wild lantern]

Oaml

[wary swift]

whoooooa

ok nvm

[toxic prism]

can someone know
your phone number by
looking at your profile

[swift sinew]

yeah

watch out

[wild lantern]

Coldstein why do you repeatedly ask that question here?

[clever knot]

wdym

the last time was

"can someone see my friends list"

[wild lantern]

They've def asked the phone one too.

[clever knot]

yeah you right

really even asked it in #help-0

[sick kite]

man just wants to know 😔

[wild lantern]

Either way, why ask on a math server?

[clever knot]

wonder whose blood is on his hands

[wild lantern]

Why not google it or go to a discord support forum.

[clever knot]

coldstein is worried

[wild lantern]

In fact people have asked that exact question on the discordapp subreddit lol.

[clever knot]

wonder if someone is blackmailing them or something

[wild lantern]

To be fair data leaks are spooky 👻

[wild lantern]

https://www.reddit.com/r/discordapp/comments/gefv1b/can_people_see_my_phone_number/

You can probably get your discord questions answered more reliably on this subreddit. Most of your q's have probably already been asked there, so you can probably even find answers without even having to post.

[analog salmon]

homogenization and dehomogenization in alg geo is making my brain hurt

[wild lantern]

Why? What is it?

[clever knot]

i just realized

[analog salmon]

trying to show that if you have an affine variety, homogenize it, then dehomogenize it, you end up with the same variety, and I can see at a high level why it's true, but proving it I keep getting wrapped up between homogeneous coordinates vs. affine coordinates

[wild lantern]

Ah that sounds way above my head. I do not know what an affine variety is.

[analog salmon]

basically the solution set to some system of polynomial equations

[wild lantern]

Oh gotcha.

So you homogenize the solution set rather than the set of equations itself?

[analog salmon]

yeah, and the homogenized solution set is defined in terms of the homogenized equations

[wild lantern]

Oh okay so like if f_i(x_i1,...,x_in) is one of your polynomials from your set is homogenizing the equation sort of like considering the solution set of equations f_i(Lx_i1,...,Lx_in)?

(I mean like scaling all the variables in ur equations by L)

[analog salmon]

to homogenize, you separate the terms based on their degree, then multiply by the extra coordinate so that they're all the same dgree

[wild lantern]

Weird, I was imagining in my head something more like that homogeneous property for functions.

[swift sinew]

Have you tried #algebraic-geometry

[analog salmon]

okay thank god I thought that channel had been there for a while and I was losing my mind

[neat lintel]

Can anyone share Springboard book PDF for class 8th ?

[neat lintel]

also we discourage piracy here

[compact tartan]

discourage is a strong word

[neat lintel]

what is stronger than discourage?

prohibit? forbid? or something?

[steep mountain]

impermissible

[neat lintel]

illegalize

[steep mountain]

verboten

[neat lintel]

both verboten and impermissible are adjectives

[steep mountain]

denounce

:3

we denounce piracy

[neat lintel]

good one

[toxic schooner]

[stray kite]

what package is \cancel from?

like $\cancel{5}$

[fathom swallow]

CoolShot

[swift sinew]

It’s the cancel package

[wary swift]

Yes we use mniip on the daily

[sick burrow]

[normal crane]

[toxic schooner]

[neat lintel]

[toxic schooner]

my states when studying chem 😵‍💫

[coarse bramble]

\usepackage{cancel}

[stray kite]

ty

[devout pasture]

Hey! Just a general question

How much math is one supposed to actually remember?

I really doubt that even an algebraic topologist would remember literally every result in algebraic topology

So how much is supposed to be good enough?

I think in practice, real mathematicians probably refer to books and literature a lot

[narrow rock]

how much ever you can

[cold needle]

The Ultralawyer.

[narrow rock]

The cofe .

[cold needle]

The cofe .

[narrow rock]

[iron osprey]

All

[iron osprey]

Your name

[cold needle]

ballsano weirstross

[mint patio]

[cold needle]

[sick burrow]

ballsano weirstross

Oh wait

This channel finally has pinned messages

[warm light]

So (-1)^(1/3) is -1

However, (-1)^(2/6) is 1

[leaden torrent]

that is not true

[warm light]

-1^2 is 1

6th root of 1 is 1

[leaden torrent]

seems youre assuming x^2 = 1 has only one solution

it has two: x = 1 and x = -1

maybe youre naively applying middle school formulae that only work for positive base

?

[warm light]

Is x^(2/6) equal to x^(1/3)? If you do legal math and simplify the exponents, it is the same. However, if you graph them, they are not the same. X^(2/6) will never be negative since you square it. X^(1/3) however can be negative. Therefore they are technically not equal.
Take x=-1 for example, they both give different answers
If they are equal, they should give the same answers

[leaden torrent]

wherever that's from is wrong.

[warm light]

(-1)^(2/6) is the same as the 6th root of (-1)^2 correct?

[leaden torrent]

it is a sixth root of (-1)^2

not necessarily the principal sixth root

[warm light]

but if we solve, we get the 6th root of 1 right?