#serious-discussion

1 messages · Page 11 of 1

woven whale
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he

alpine kindle
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in the context of limits infinity is not a number

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unless

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you use the extended real line

tall badge
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theres a low tech def of lim=infty

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which works a bit like that for a finite lim

alpine kindle
tall badge
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to start u can google ‘epsilon def of limit’

woven whale
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I know that one

alpine kindle
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then u should know that divergent limits are undefined

woven whale
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why should I know

neat lintel
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neighbourhood definition of limit is better

alpine kindle
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because "the limit exists if L exists such that..." is pretty clear

alpine kindle
alpine kindle
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but infty/infty is undefined

woven whale
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yes

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thank you

bright hill
woven whale
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I think I didn't even need that

bright hill
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i stg

fringe needle
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Roketto being ignored angerysad

bright hill
alpine kindle
tall badge
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i cant care enough to put down my margarita and engage at a higher level

bright hill
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infinity is a really broad concept

alpine kindle
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yeah

neat lintel
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i think it makes more sense to think of infinity in this context as equivalence class of limits

bright hill
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exploring that should've been beyond the scope of this discussion

neat lintel
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that explains better why inf/inf is undefined

alpine kindle
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so i wanted to at least introduce the idea

bright hill
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all illuminator need to know is that +inf isn't an element of a field

alpine kindle
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because you can just use extd real line

bright hill
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extd real line isn't a field

woven whale
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right

alpine kindle
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yes but you can use it for analysis

neat lintel
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the reason to leave inf/inf undefined is because given two sequences u_n -> inf and v_n -> inf you can have many different behaviours of u_n / v_n

alpine kindle
neat lintel
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it could ->0 or -> inf, ...

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so there's not a unique choice of what to pick for inf/inf

woven whale
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I didn't need $\infty \cdot \infty$ but $\infty - \sum \infty$

fathom swallowBOT
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illuminator3

alpine kindle
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it's much better to properly pin down the context first

woven whale
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what's $\infty - \infty$

neat lintel
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thats also undefined

fathom swallowBOT
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illuminator3

alpine kindle
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undefined yeah

woven whale
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mehhhhhh

neat lintel
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because for example x² -> inf and x-> inf and x²-x -> inf however x²-x² -> 0

bright hill
alpine kindle
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there is one more sense of infinity that's important to talk about here

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hyperreals

fringe needle
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Have you ever heard of the tragedy of infinity-categories

bright hill
alpine kindle
bright hill
alpine kindle
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where infty² ≠ infty

neat lintel
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maybe because it can confuse them more

bright hill
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the moral of the story here isn't that "there is more than one infinity"

neat lintel
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"infinity" means different things depending on context

bright hill
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it's that "you have to be careful when working with infinity"

alpine kindle
tall badge
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just finished my drink

neat lintel
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Roketto i think i have a crush on you

tall badge
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seems noone wrote the def of lim=infty yet

neat lintel
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i can write

bright hill
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lol

tall badge
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ly2 ❤️

bright hill
tall badge
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once i see the def i can rest

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maybe order an old fashioned

neat lintel
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$\forall \epsilon > 0 \exists \delta >0 \forall x\in D 0<|x-a|<\delta \implies |f(x)|>\epsilon$

fathom swallowBOT
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Carla_

neat lintel
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D domain, a limit point

tall badge
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no bars on f(x)

neat lintel
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if to inf then bars

tall badge
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btw i think illuminator was doing sequence stuff

neat lintel
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if to +inf no bars yes

tall badge
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so i meant lim for sequences

neat lintel
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fine

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limit is +inf or inf?

tall badge
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+inf

neat lintel
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$\forall \epsilon > 0 \exists N \forall n>N u_n>\epsilon$

fathom swallowBOT
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Carla_

tall badge
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tybb

woven whale
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,, \lim_{\mathfrak{I}0 \to \infty} \sum{0\leq \mathfrak{n}_0 \leq \mathfrak{I}_0} \blacksmiley\left(\mathfrak{I}0 - \lim{\mathfrak{I}1 \to \infty} \sum{0 \leq \mathfrak{n}_1 \leq \mathfrak{I}_1} \mathfrak{I}_0 - \mathfrak{n}0\right) - \lim{\mathfrak{I}2 \to \infty} \sum{0 \leq \mathfrak{n}_2 \leq \mathfrak{I}2} \blacksmiley\psi (-1)

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uhh

tall badge
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nty

fathom swallowBOT
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illuminator3

neat lintel
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SighmonkaS

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Smiley face

deep nebula
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is there anyone who took ap calc right after algebra 2 in highschool? I didnt know my teacher recommanded me in ap calc ab till today where i got my classes. Idk if I can pass the readiness test on the first week

bright hill
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also, @alpine kindle wdym divergent limits are undefined

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(sry for replying too late, I was sent on some errand)

neat lintel
neat lintel
woven whale
neat lintel
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this is really bad motivation for people who want to learn pure mathematics

fringe needle
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I don’t see why this is bad motivation

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Being useful is a great motivation to learn anything

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It’s not what motivates me to do math but I can see why it would be a strong point for others

neat lintel
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im not saying its bad motivation for everyone

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im saying its for bad motivation for pure mathematics

fringe needle
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I mean just cause you’re not applying it yourself doesn’t make it less motivating

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But I see your point

sick burrow
#

Judith Butler is at Berkeley???

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Why have I not realized this until now

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Time to bump them up from my 1st choice to my 0th choice

deep mango
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yeah she is

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also i was at berkeley so they should be your -1th choice

alpine kindle
sick burrow
bright hill
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you can define it to be inf 🙃

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lmao

sleek wing
bright hill
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also, convergence/divergence is a property of sequences, not limits in general

ripe wasp
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just learnt first iso

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what are some important results we get from it?

sleek wing
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literally everything

ripe wasp
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i heard we get rank nullity from it

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what else is there

sleek wing
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rank nullity is literally just first iso from vector spaces

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schur's lemma can be proven pretty quick from first iso is the first one that comes to mind

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uhhh every normal subgroup is the kernel of some homomorphism

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so you can prove some subset is a normal subgroup by finding some homomorphism it's the kernel of

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very useful for example proving A_n is a normal subgroup of S_n

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again, these are just the things coming to mind - there are many more

ripe wasp
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damn

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that's a lot

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it's a very powerful theorem i see

sleek wing
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it is

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so powerful it's actually true for a lot of objects

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vs, groups, modules, rings

fervent pebble
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anyone have any tips on making life more exciting?

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i'm just

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insanely bored

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like

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really badly bored

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usually when this happens i manage to find smthn to fixate on for a few months but its not working rn

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and i just hate everything

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and schoooool is starting up again and it's pain and suffering

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anyways

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anyone got anything?

deep mango
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Have you tried rock climbing / bouldering

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It's really fun and rewarding

tawdry falcon
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Have you tried to make origami or to build polyhedra? It's a very nice hobby and can be done from home.

fervent pebble
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ive been through my origami phase already, sadly, so it doesn't really interest me anymore

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rock climbing sounds interesting 👀

stable ginkgo
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Its so sad i cant practice climbing unless i travel 700 kms

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Rowing seems nice tho

fading tusk
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are u in amsterdam?

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or in kansas?

stable ginkgo
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No im in flatland india

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Closest hills=700 km away

keen lintel
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where in India btw? I'm too from India

stable ginkgo
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Kolkata

neat frost
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OOO

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Learn latex!!!!!!!!

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Yesh yesh yesh

wary zephyr
storm stump
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i'm trying to print my thesis and i sent my printer person some test files with certain crop marks and bleed margins and i'm really confused about their response

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"The cut marks that are now only placed on one side of the design are not needed. All we need is the bleed margins."
but how do I indicate the bleed margins without the crop marks

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i do not understand anythink

open aspen
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Congrats on your new icon ryc

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Very epic

true bough
fervent pebble
fervent pebble
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besides the ones on my to-read list

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currently on 'a portrait of the artist as a young man' by joyce

storm sage
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ayyy I love that book

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have you read the christmas dinner scene yet

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it's so visceral

fervent pebble
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||the one where mr dedalus, casey, and dante have the argument over the irish priesthood? yeah i thought it was really fuckin well written, i was like||

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||invested and shit||

storm sage
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yea that scene is amazing oh my god

odd narwhal
iron osprey
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x post

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what do career statisticians find themselves doing most of the time, outside of administrative/bureaucratic fluff? does it largely vary by industry? does anyone have industry experience to talk ab this?

iron osprey
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my closest exposure to it is just what statistical studies manufacturing engineers find themselves doing in mfg companies

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so not professional, trained statisticians

ancient flame
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I have purchased everything on my list for college!!

storm sage
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yay!

neat frost
fervent pebble
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i'm no masochist

neat frost
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Tex is fun

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Dumdum

open aspen
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Tex is fun until you include a graphic

neat frost
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Why would you ever do that

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Also using pdftex I don’t think it’s that hard

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I’m just too lazy to read the manual

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Everything is better than word

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Hell fucking lyx is better than word

vivid halo
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yeah

neat lintel
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I was going towards 800 dollars

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Which sucked

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Big tip buy stuff as you need it

ancient flame
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well I already had most of my list done

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we were just getting the last few things

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but we spent like $150-200 today

wooden flax
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nG congrats on honorable!!

neat frost
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Uncongrats to nG

deep mango
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Slurp (ryc for admin)

hollow sundial
deep mango
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Don't give namington any ideas

tender tulip
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why is the prime spectrum of an ideal important

vivid halo
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of a commutative ring you mean?

wooden flax
vivid halo
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if you have a commutative ring R, the prime spectrum Spec(R) is sort of the universal space such that the ring of functions on this space is R

grizzled grove
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We had modular forms for SL(2,Z), then we put in some congruence subgroups and get modular forms for that...but now why would one want to get more such crazy functions by defining functions in crazy objects like fuschsian groups.

tender tulip
# wooden flax Zariski Topology

The condition of primality seems to be like finding a sublattice of the lattice of ideals that specifically has closure under binary unions

grizzled grove
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It is addition of more and more parameters to generalize the theory. And now these classical automorphic forms seems like a date of hyperbolic geometry with complex analysis to generalize classical modular forms

vivid halo
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crucially none of the examples like SL_2(Z) or \Gamma_0(N) or \Gamma_1(N) or \Gamma(N) are cocompact, meaning the corresponding modular curves are not compact, they have some cusps that you have to add back in

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but there are cocompact Fuchsian groups like the triangle groups that give you compact quotients of the upper half plane

grizzled grove
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This has to do something with their fundamental domains being compact and stuff. Most of times for congruence subgroups it is not compact. Right?

vivid halo
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yeah this is never compact for any of the congruence subgroups

grizzled grove
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But how did the aim to generalize modular forms for SL(2,Z) comes from changing groups is the only reasonable way to generalize?

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Is it because we want functional equations

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Later

vivid halo
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I mean changing the group is an obvious way to generalize yes

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I mean here we're not even changing the underlying group G=GL_2 that much, we're passing to an inner form essentially

grizzled grove
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Moreover we now have general automorphy factor etc stuff which satisfies some rules. But ultimately at the end what kind of L functions it leads to ? Must be very similar to these modular forms L functions

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But do we have modularity ?

vivid halo
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yeah you basically end up with the same GL_2 L-functions

grizzled grove
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Or there are much more theories needed again

vivid halo
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well so you can write down automorphic forms for GL_n in the same way as you can for GL_2

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there's a little more bookkeeping involved but it's not that different

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one big difference is that you never have any holomorphic modular forms for n>2

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so you pretty much only have Maass forms

grizzled grove
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And i hope mostly we would be studying GL(n,Z) functions by studying how it breaks into lower GL(d,z) d<n type functions. Like is it same kind of how representation are broken into irreducible ?

vivid halo
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that is sort of what you do yeah, for GL_n you have cusp forms for GL_n, and then you have Eisenstein series coming from Levi quotients of parabolics of GL_n

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those Levi quotients will look like GL_n_1x...xGL_n_m

grizzled grove
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It's always the algebraic objects being introduced for getting generalized stuff ...like Riemann Zeta function was purely complex based functions and generalized to dedekind Zeta function and then to Artin L functions. All this is due to algebraic thought process. On the other side no one cares much about Hurwitz Zeta function. Thank God multiple Zeta functions saved some respect of analytic nt people. And now i see that in modular forms also it is the groups and their geometry generalizing this classical analysis type objects. Do we have multiple GL(n,Z) type stuff too like MZV

vivid halo
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I don't think much is known about the "multiple" analogues of this automorphic stuff

grizzled grove
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Yeah that would be crazy book keeping

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Just Artin L functions only had me rolling through algebra a lot

vivid halo
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that starts to run into foundational Langlands stuff that we don't really how to answer

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anyways an example you should look into going back to Fuchsian groups

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the relationship between the (2,3,7) triangle group and Hurwitz curves

fervent pebble
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DID WEW GET HONORABLE

vivid halo
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those are some really nice examples of compact quotients of cocompact Fuchsian groups

fervent pebble
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hi ng gratz

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but

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did wew get it

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?

vivid halo
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no lol

fervent pebble
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@sleek wing

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wow

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what a loser

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lmfao

grizzled grove
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What is honourable?

vivid halo
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yellow name

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it doesn't actually mean anything important lol

grizzled grove
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I mean what is special about yellow ?

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Oh ok

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I am stupid..i never noticed it...i thought these colours are by choice

vivid halo
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most of them are automatically assigned by a bot

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like active and very active are based on chat activity

grizzled grove
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Ya I think I ain't active because it is taking weeks to read just 1 page of that iwaniec book...so it's sometimes torture. On the other side Artin L functions although they look innocent but i know they'd strike harder then GL(2,Z) stuff later.

neat lintel
sleek wing
icy crag
fervent pebble
# sleek wing if you actually think someone like me gets honourable you're mental

" @neat lintelable — these are people who have consistently demonstrated courtesy, reasonability, and helpfulness around the server; and whom we consider to be exemplary members of our community."

courtesy: youve said nice things to ppl smtimes
reasonability: never have i ever seen a more reasonable person when it comes to trolling ppl
helpfulness: very helpful when you want ot be
exemplary member of community: duh

sleek wing
#

Hello Mr. Honor

fervent pebble
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...

hollow sundial
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and since this server's set is isomorphic to the set of rationals, that'll never happen.

bright hill
#

yeee

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this is bigbrain time

sleek wing
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I’m putting the counting measure on Q, biatch

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Zoinks! Looks like you have been coaxed into a snarfu of your own construction

hollow sundial
#

Proof: Wew Lads diagonalization argument

tender tulip
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Lets say we have a bounded lattice with maxima and minima, and every subposet of the lattice has a supremum. Define an element to be prime if for any two elements, their meet is less than the prime element if and only if either of the two prior elements are less than the prime element. For any element, we can define the Lead of an element to be the set of prime ideals greater than the element.

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The intersection of the leads of any set of elements is just the lead of the supremum of the set, obviously, and is closed under uncountable intersection. The union of the leads literally is just the lead of the meet by the literal definition of primality. The lead of the maximal elements is the empty set. The lead of the minimal elements is the set of all primes. Thus we have an “antitopology” over the set of prime elemenrs, or a topology where the closed sets are these leads

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this is useless though because we pick out prime elements just so we have a topology

wooden flax
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Or maybe honorable

arctic grove
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i deserve honorable!

deep mango
#

helpfulness

fervent pebble
#

LMFAO

arctic grove
#

i help more people

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coz i am online all day

ancient flame
#

$dx\wedge dy(\hat i, \hat j)=1$

deep mango
#

I may help only once in a while but my help is worth its weight in gold

fathom swallowBOT
ancient flame
#

:D

arctic grove
arctic grove
ancient flame
#

do you guys write i-hat and j-hat with or without the dot

arctic grove
#

😵‍💫

ancient flame
arctic grove
#

with the dot

arctic grove
deep mango
ancient flame
#

my phone autocorrected j-hat to jihad

neat lintel
arctic grove
ancient flame
ancient flame
deep mango
#

I am exemplary

neat lintel
#

\hat i \hat j

arctic grove
ancient flame
#

how am I supposed to do it then

arctic grove
ancient flame
#

wait what

arctic grove
#

no need to be scared of it

ancient flame
#

basis vectors

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???

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@neat lintel what's the proper way?

neat lintel
#

don't take me too seriously i've had some drinks

ancient flame
#

bruh

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lol

neat lintel
#

but no one uses i and j for basis vectors

deep mango
#

In differential geometry we often use \partial_x and \partial_y for this

ancient flame
#

???

deep mango
#

Or \partial_j for j = 1, ..., n

ancient flame
#

I meant for like R²

deep mango
#

There is a good reason for this

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But its hard to explain

deep mango
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Has to do with equating vectors with directional derivative operations

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For the unit vectors

ancient flame
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oh rly

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oh wait what's the difference between basis vectors and unit vectors

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unit vectors are more general right

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basis vectors are a type of unit vector?

deep mango
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Yeah or people use \partial / \partial x, ...

ancient flame
#

weird

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I would like to learn diffgeo soon

deep mango
#

Sorry I meant the basis vectors

arctic grove
ancient flame
#

yeah

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basis vectors just go along the "axes" right

arctic grove
#

they dont have to catThin4K

ancient flame
#

oh what

deep mango
#

These do though

neat lintel
#

A basis vector is linear independent and span the entire space

ancient flame
#

like linear independence n shit

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yeah

neat lintel
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I think thats the definition

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let ryc talk

ancient flame
#

ok

arctic grove
#

basis vectors need to be linearly independent, and span the set

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they can be whatever u like

deep mango
#

Probably the best word for it is the coordinate vectors

arctic grove
deep mango
#

Anyway feel free to use ijk for now but that will fall out of practice quickly

ancient flame
deep mango
#

Especially since there is no 4th letter to use

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Which is good

ancient flame
#

since I will be taking the course

ancient flame
neat lintel
neat lintel
magic night
#

is the ti nspire cx ii is better than the ti nspire cx ii cas?

ancient flame
#

LOL

deep mango
#

Also

neat lintel
#

what is a wedge product

deep mango
#

Whatever

arctic grove
#

Helpfulness

ancient flame
#

$\omega_1\wedge\omega_2(v_1,v_2)=\det\begin{pmatrix}\omega_1(v_1) & \omega_2(v_1) \ \omega_1(v_2) & \omega_2(v_2) \end{pmatrix}$

neat lintel
#

lol

ancient flame
#

wtf

neat lintel
#

Lmao

fathom swallowBOT
ancient flame
#

there we go

deep mango
#

I dont know what a damn wedge product is

ancient flame
#

where omega's are differential forms

deep mango
#

I know how to define it in like 4 ways

ancient flame
#

oof

deep mango
#

But idk how to tell you what the picture is

arctic grove
ancient flame
#

determinant of that matrix

deep mango
#

Basically you pop two vectors together into a parallelogram

ancient flame
#

which is like the area of the parallelogram bounded by the vectors

deep mango
#

Thats it

ancient flame
#

yeah

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that's in 2d tho

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then k-forms

neat lintel
#

k-parallelepiped moment

deep mango
#

Its the same in higher dimensions, you're still popping k parallelopepids onto l parallelopepids

ancient flame
deep mango
#

And you're like

ancient flame
#

icic

deep mango
#

Idk

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They're signed

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By the orientation

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That comes from the order you list the edges

ancient flame
#

damn like

deep mango
ancient flame
#

I feel so much better that I can talk about this kind of stuff now

#

after like

#

basic videos

#

this shit is interesting

arctic grove
#

indeed!

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thats why i have been trying to half ass and still learn it

#

its so much fun

ancient flame
#

lol

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like I said earlier I think I've found the right path I want to go down

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bc like algebra is cool but I don't seem to have enough motivation to learn it

arctic grove
#

i have enough motivation

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but not the power to learn it

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😭

ancient flame
#

lol

storm sage
ancient flame
#

:D

neat lintel
#

Algebra is cool n all and so is analysis but i think i prefer number theory since both are present (although id go more towards analytic number theory)

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analytic number theory devastation

wild lantern
#

They could have called it anything and yet they chose "analytic number theory" over "numbernalysis". sully

neat lintel
#

Analytic number theory makes it clear that there’s some kind of analytic structure in place

full isle
#

i always find it weird how analytic methods come into some problems

neat lintel
#

Not all number theory has an analytic structure involved

full isle
neat lintel
#

That’s how some fields are born

#

You explore and strike gold repeatedly

neat lintel
#

Im still drunk from last night

jaunty stag
#

ok

neat lintel
#

Yeyeyeye

storm stump
#

should i try to learn the violin

cinder vale
#

defo

storm stump
#

i have no previous experience with any instrument except vaguely with the ukulele (and the recorder from elementary school)

surreal sapphire
#

if you arent expecting too much of yourself, yes

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friend of mine got an electric violin somewhat recently

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without prior experience

neat frost
eager reef
#

shut up

neat frost
#

No. Mine.

spiral flicker
#

@errant ridge it depends on what you're looking for.

errant ridge
#

wdym?

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I would like to yk participate in some amatuer tournaments or whatever

eager reef
#

are you looking to become a good/respected practitioner of a traditional martial art

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that takes decades

spiral flicker
#

You can get a black belt in most styles in the 5-10 year range.

eager reef
#

i used to do competitive martial arts

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you can start doing them early on

errant ridge
#

tbh I wanna participate in some tournaments/be able to defend myself (if I did find myself in such a situation, which is unlikely yes)

eager reef
#

just don't expect to win them at the beginning lol

errant ridge
#

Lol yeah

eager reef
spiral flicker
#

But if you really want to "know" martial arts then it's basically endless. I started when I was 8 and am approaching 20 years with the school.

errant ridge
eager reef
#

you can i guess but they are different

errant ridge
#

makes sense

spiral flicker
eager reef
#

you wouldn't want to train traditionally if your goal is to defend yourself

errant ridge
#

I see

storm stump
errant ridge
#

I mean, obivously no matter how good i get my first thought is to run away

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because why wouldn't you?

eager reef
#

there is a big difference between martial arts and actual fighting where you need to defend yourself

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but martial arts does help with that

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some more than others

spiral flicker
#

But even "defend yourself" can mean a lot of things. Like, do you mean defend yourself when an MMA fighter that's getting aggressive in a bar or do you want to stay safe in everyday life?

errant ridge
#

stay safe in everyday life I guess

spiral flicker
errant ridge
#

Lol yeah

eager reef
#

I agree

spiral flicker
#

I've never met a lifelong martial artist who would say otherwise.

errant ridge
eager reef
#

you never know if the other person is armed

#

or has people who will help them that you havent noticed

errant ridge
#

hm true yeah

eager reef
#

or you do the good old

#

throw the first punch and run away

#

make it a good punch tho

errant ridge
#

punch to the nose hype

surreal sapphire
spiral flicker
storm stump
#

oh cute

eager reef
#

a punch to the nose is a nice distraction but won't knock them out

storm stump
#

in a band without prior experience sounds like a jump

eager reef
#

gets tears in their eyes tho so thats a plus

spiral flicker
#

My favorite quote that I've heard I response to "what is the best technique in the martial arts" is "don't be there when the punch arrives"

eager reef
#

LOL

#

thats a good one

errant ridge
#

I'm thinking about getting into martial arts for multiple reasons, a 3rd one is developing discipline

spiral flicker
# eager reef LOL

Lol I agree. That was from Fumio Demura about 30 years ago I think? I'd need to check my books to be sure. He's a Japanese master and has been extremely devoted to the art since long before I was born.

neat lintel
eager reef
#

That's a you problem

#

it's definitely funny

spiral flicker
eager reef
#

like at some point you see that it's so much more than just the techniques and fights

#

all the culture behind it

#

honestly great

neat lintel
errant ridge
#

kissing my copy of introduction to differential geometry in public

#

I say yes

eager reef
#

I quit "traditional" martial arts for boxing and kickboxing a long time ago tho

#

sometimes i miss it

spiral flicker
neat lintel
#

what about a non-black belt

spiral flicker
neat lintel
#

i dont mind getting banned of lowmath

spiral flicker
# neat lintel what about a non-black belt

That comes down to what I said about different goals. A non black belt can defend themselves just fine. If you internalize that "avoiding a fight is the smart choice" then you'll do very well safety wise. But it's not the same as really being a martial artist.

spiral flicker
#

And I like this server, I'd like to avoid that lol

neat lintel
#

🤧

spiral flicker
spiral flicker
#

Also for anyone interested in martial arts who likes movies, watch the Karate Kid series (not the Jackie Chan one) and then watch Cobra Kai on Netflix.

errant ridge
#

hm I was hoping MMA would be good for that, but I guess I can go for other forms it as well

honest veldt
#

what are you sayin my guy

errant ridge
#

"a traditional school that competes in public tournaments"

catthumbsup

honest veldt
#

the Jackie chan one is the best

tender tulip
#

Doing staff for 8 years in martial arts tournaments gave me trigger finger in both my pinkies

spiral flicker
#

The movies are wonderful 80s camp and the show does an amazing job of recapturing and embracing that while also being more self aware.

tender tulip
#

the payoff is I can make an ungodly whooshing noise with any elongated staff-like object

errant ridge
#

miza badass

spiral flicker
tender tulip
#

most people do sword or nunchucks as a tournament weapon and my dumbass chose staff

errant ridge
spiral flicker
tender tulip
#

ye

#

that and fan

#

fan forms are fun as fuck

#

useless but fun

#

unless you have a very sharp edged fan like my old grandmaster has and then it’s just a horrifying dagger

errant ridge
#

I wonder if it's possible to practice martial arts by yourself after training for a few years? catThink

spiral flicker
errant ridge
#

ah okay

#

makes sense

spiral flicker
# errant ridge I wonder if it's possible to practice martial arts by yourself after training fo...

That, again, depends lol (sorry, that's just pretty universally the answer). You can certainly train and then keep practicing on your own but there are things that you won't be getting, namely partners to work with and the corrections of an instructor. No matter what you learn and how hard you try to stop it, you will change what you learn. It just naturally drifts. If you don't have someone who knows the original to correct you then you'll start mutating it.

errant ridge
#

haha don't worry I'm used to hearing/saying "Depends" as an answer

spiral flicker
errant ridge
#

"No matter what you learn and how hard you try to stop it, you will change what you learn. It just naturally drifts." hm yeah okay

spiral flicker
# errant ridge haha don't worry I'm used to hearing/saying "Depends" as an answer

Wonderful! Then I'll lean into it: martial arts is an extremely personal journey. Who you are, what you want, what you're willing to do, and who you find to help you will lead you in INCREDIBLY different directions. None of those directions is necessarily "better" or "right" outside of subjective opinion. Like I can answer questions but (especially without knowing you better) it's all steeped in my perspective and is almost certainly not perfect advice from you.

errant ridge
#

fair enough KEK

#

how do you choose which martial arts "gym" or school is good for you?

spiral flicker
# tender tulip Ye

We do use a really cool Chinese weapon that I always struggle to find info on. The name that I can most consistently find info under (which isn't saying much) is "crescent moon saber"

tender tulip
#

scythe

#

handheld scythe

#

Used for farming (cutting stalks) but repurposed as a weapon

#

No it’s a Sickle

#

handheld scythe is a sickle

#

same purpose but smol

spiral flicker
# errant ridge how do you choose which martial arts "gym" or school is good for you?

That's extremely subjective lol. In my case, I didn't choose my school. My mom and her brother had trained together as teenagers and she had plenty of her own opinions on it (chief among them that if I was going to train then it would be in the furthest thing from her school lol). She had a friend in one of the other moms at my school. Her son's (my friends) and she had both trained at a local school and she had become a black belt in the style. I was told that if I was going to train, then I would train there. In 2024 I'll have been there for 20 years.

tender tulip
#

god damn, that’s epic

spiral flicker
# tender tulip handheld scythe

Kama is the word that you're looking for lol. Traditional (and still in use in rural areas btw) Okinawan farming tool. Very fun, and I recently learned that the professor I've been working with was a 3rd Dan in a traditional Okinawan style and had used the kama extensively.

neat lintel
#

karma police

spiral flicker
#

Funny thing about that school: the kids that became black belts are VERY likely to have pursued ambitious higher education, especially in engineering. 5 of the people that I came up with became engineers, a couple of those with MS degrees and one just left for California to get his PhD in biochemical engineering. Another is in med school, another is in law school, and I'm working on getting into a PhD for math.

#

There are other examples that I don't know as well personally but my "group" held to this trend.

#

Oh! And one joined the national guard and they sent him to Serbia to get his MS in environmental engineering.

#

So while I will not say that my school is the best school, I firmly believe that it's the best school for me and it's absolutely the first one that I recommend for kids.

distant elk
#

Hey guys

spiral flicker
#

Hey

distant elk
#

Drenk

#

Do u know simple financial math

spiral flicker
#

Zouzoubro911

#

How simple?

distant elk
#

let me dm a question

severe swallow
#

basic stochastic calculus

distant elk
#

Or a set of really simple questions

#

is that ok?

spiral flicker
#

Lol if it warrants a DM then I almost certainly don't know it but go for it

tender tulip
#

Is the “subset product” of two normal subgroups the “smallest” normal subgroup containing them

#

aka, does normal subgroup-ness form a lattice where the join is the product and the meet is the intersection

neat lintel
#

yes cuz any subgroup containing H and K must also contain all elements of HK since closed for the operation

tender tulip
#

if R is a ring, then the ideals form a sublattice

#

but do prime ideals form a sub-sub lattice

tender tulip
#

no they don’t, cry

dire beacon
#

if i want an exponentional function from x=0 y=100 to x=69 y=900, is it possible to create?

#

or at least close like y in range 875-925

deep mango
#

Sure

tall badge
#

,w plot e^x, x=[0,69], y=[100,900]

deep mango
#

Uhh

fathom swallowBOT
deep mango
#

I think they mean an exponential that interpolates those two points

#

Like

#

y = 100*a^x

tall badge
#

oh i read the question as plot within these bounds

deep mango
#

And then we need to pick a so that 900 = 100*(a^69)

#

Now it's your job to figure out what a is @dire beacon

dire beacon
#

ok

fathom swallowBOT
dire beacon
#

how do i get the equation out of that?

#

or the thing you type into the graphical calculator with just one variable

tall badge
#

i read the question as 'plot e^x with these axis bounds'

#

if thats not what you meant then disregard

dire beacon
#

i used x^2/6

#

but the start was too slow

#

and the end too fast

#

but i dont want it to be same rise everywhere

tall badge
#

can u clarify what ur asking for?

dire beacon
#

first it needs to look like this

#

it kinda reassembles 2^2/6.1+100 but that haves too slow start and fast end

#

idk, im bad at explaining

#

if you dont know what i mean, then nevermind

#

ill just combine multiple functions together

tall badge
#

u wanna fit the curve

dire beacon
#

yes i guess

tall badge
#

and u first picked an exponential fit

dire beacon
#

i have this as the main curve

#

ill just make additional curve with something smaller than 6.1 at lower x values

#

it does not have to be one continuous curve

tall badge
#

u can use the fit ryc suggested

dire beacon
#

ok

tall badge
#

y = 100*a^x
plug the point (70,800) to find a, u also need to add a constant so that it hits (0,0)

dire beacon
#

ok, mabye im just too stupid for that

tall badge
#

y=100a^x-1

dire beacon
#

ok

#

i have geogebra in the next window opened, so what do i enter there?

tall badge
#

weve not found a yet

#

(70,800) is a point on the curve, we can use it to find a

dire beacon
#

ok

tall badge
#

@misty lake dont shitpost here

misty lake
#

society

ripe stirrup
#

Society

ancient flame
#

society

neat lintel
#

sobriety

errant ridge
#

society

neat lintel
#

whats everyones favourite topological space

ancient flame
#

Top

wooden flax
zealous garden
neat lintel
odd narwhal
#

Not a space

wooden flax
#

ok fine i thought that nobody would notice

storm sage
#

Q endowed with the usual metric

sleek wing
#

long line

storm sage
#

it's nice and simple...

wooden flax
#

idk then?? euclidian space?? hilbert space??

#

like wtf is this

storm sage
#

real numbers are scary

peak tide
#

the best topology is the discrete topology, i don't want any constraints on my open sets 😁

leaden torrent
#

my favourite space is

wooden flax
#

Lol

#

my favorite space is

neat lintel
#

my favourite is the Baire space maybe

zealous garden
#

Best topological space is the hyperreal number line

odd narwhal
eager reef
#

Sierpinski Space

neat lintel
#

sierpinski space is a good

#

did you know that a topological space is T_0 iff it can be embedded into a power of the sierpinski space?

wooden flax
#

there??

eager reef
#

I did not know that

#

I remember using it for some counterexamples concerning seperation axioms

#

But it’s been a while

neat lintel
#

Stated categorically, this means that the sierpinski space is an M-coseparator in the category of T_0 topological spaces with M being the class of topological embeddings

eager reef
#

I see

grand sapphire
#

i like the name "alexandroff cube" more

#

falls in line with cantor cube and tychonoff cube

storm sage
#

sierpiński is fun to pronounce

#

<3 polish

neat lintel
#

do you like polish spaces?

storm sage
#

I didn't know that was a thing :O

grand sapphire
#

my favorite topology theorem name so far is the Hewitt-Marczewski-Pondicery

storm sage
#

that's beautiful

#

my favorite math name is the "Bar-Hillel–Ajdukiewicz pomonoid"

ashen gate
#

I got algebra honors for 8th grade is it hard

neat lintel
#

what the hell is algebra honors for 8th grade

ashen gate
#

its says algebra I honors @neat lintel

odd narwhal
tight comet
#

n=pi

wooden flax
#

💀

radiant hatch
storm sage
#

yeah there's no real way we can answer this

tender tulip
#

is there a way to specify normal extensions and seperable extensions through homomorphisms or smth

#

The main problem i face is specifying if a given polynomial is linear without referencing it’s degree

#

originally I was going to try to “compare” the extension somehow to F[X]/<P(X)> where P(X) is irreducible

#

but field homomorphisms are always injective and that kinda breaks down

#

also seperability is prime characteristic might be an issue

#

Actually, for every splitting field G of an irreducible polynomial P over field F also an extension of F[X]/<P(X)>

plucky zodiac
#

Can I ask thermodynamics or mechanics of materials here

tall badge
plucky zodiac
#

Thanks

ancient flame
#

bro now everything from calc 3 is clicking

#

the exterior derivative on a 1-form in R³ precisely gives curl

neat lintel
#

using the metric tensor on R^3 you identify vector fields with 1-forms

#

take the exterior derivative for a 2-form

#

do some more geometry ("hodge star") to get a (3 - 2 = 1)-form

#

and then use the metric tensor again to get a vector field back

#

the result is curl

ancient flame
#

idk what metric tensors are

#

also hodge star is coming soon but not yet

#

but like did I say smth incorrect or no

neat lintel
ancient flame
#

oh ok

neat lintel
#

i'm just clarifying on "precisely"

ancient flame
#

icic

#

what does identify mean in this context?

neat lintel
#

get an isomorphism between and apply it

ancient flame
#

oh ok

neat lintel
#

in R^3 it's just (P, Q, R) -> P dx + Q dy + R dz

ancient flame
#

yeah

neat lintel
#

this is defined in terms of the coordinates on R^3, but you may give a coordinate-free definition of this. good to keep in mind if you're interested in generalizing this to other situations

ancient flame
#

makes sense

#

yeah im basically going through that michael penn playlist and getting the general ideas

#

once im done with this I will formally learn it through a book

ancient flame
#

holy shit grad curl and div are just exterior derivatives

#

damn

#

alright that's enough for today

#

💤

errant ridge
ancient flame
#

yes

errant ridge
#

I should go through that too, it seems nice

ancient flame
#

it really is

arctic grove
#

teach me

arctic grove
errant ridge
#

KEK shyshu my name is more accurate now

ancient flame
arctic grove
#

No its not!

arctic grove
#

im not that dumb!

#

😭

ancient flame
#

bc im literally learning it myself

#

lmao

arctic grove
#

explaining to others is the best proof that u have learnt something

errant ridge
#

you know what they say teaching is the best way to learn

ancient flame
#

but I don't know it well enough

#

that's the problem

arctic grove
#

no worries

#

just tell me what u think it is

#

u dont need to do it rn lol

#

go sleep

ancient flame
#

LMAO

arctic grove
#

i will ping u later

ancient flame
#

alright

#

2 hours later

#

jk

errant ridge
ancient flame
#

LOL

arctic grove
ancient flame
#

alright I do have to sleep

#

gn!!

arctic grove
#

Gn!

arctic grove
errant ridge
ancient flame
#

nahhhh

#

2 am lol

errant ridge
spiral escarp
#

Hi,
Is there anyone from India who wanna be in a team with me for an online maths competition in November. I need 5 people.
Please hit me up.

woven whale
#

@spiral escarp do I need to be indian or can I also just act indian

spiral escarp
#

Its a country based competition.

#

So you need to be in India

#

However, I think u can join it from ur own country

#

The competition is wmtc

#

Its a little like arml

cinder zephyr
#

Are there any good math study abroad programs in France?

fading tusk
#

at what level?

#

you are a student at x and want to go to france?

ancient flame
#

hello world

neat frost
#

When do you start uni?

ancient flame
#

hi!!!

#

6 days!!!

neat frost
#

OOOOO

ancient flame
#

well thats when I move in

#

I start 3 days later

neat frost
#

Gonst to be a bizbiz major right?

ancient flame
#

yeee

#

bizbiz

neat frost
#

Get hella rich

ancient flame
#

yessss

neat frost
#

Buy me some food flonshed

ancient flame
#

my roommate will be a biomedical engineering major LOL

neat frost
#

Eggineer LOL

#

NO???!!!!?!!!

ancient flame
#

lmao

neat frost
#

;-;

ancient flame
#

so he gonna have zero time

#

I will have a lot of time

neat frost
#

Nah it’s biology and eggineering

#

Joke degree

ancient flame
#

and we probably will make comparable salaries

neat frost
ancient flame
#

lol

neat frost
#

Ask him to do some proofs

#

Make him cry

ancient flame
#

LOL

#

he's taking calc 3 first semester

#

he's gonna be like "wtf are these triple integrals" and ill be like "oh small child"

neat frost
#

Yeah you show him how to swindle those integrals out of their money

#

Do you know what your courses will be?

ancient flame
#

lol

#

yeah

#

stats, econ, intro to business, marketing, and some dumb gen ed course

deep mango
ancient flame
#

LMAOOOOO

deep mango
#

gmod is about to make this guy's life a living hell

neat frost
#

Hola rycie bycie

ancient flame
#

low key probably will say that

ancient flame
neat frost
#

High key

#

Cuz you’re gonna be hella stoned

#

Like ryc!

ancient flame
#

nahhhhh

#

LOL

deep mango
neat frost
#

Oh right cuz you’re Americans LOL

#

Stupid

deep mango
#

Yes

neat frost
#

(You)

#

(You stupid)

ancient flame
#

oh

deep mango
#

It's probably not too dumb for weed

ancient flame
#

it?

neat frost
#

What’s dumb is that that shit is legalized at all

deep mango
#

Cause it fucks with your brain development or whatever if you're younger

#

idk

ancient flame
#

oh yeah

neat frost
#

So does caffeine

#

And time

ancient flame
#

I will not do drugs or alcohol

#

I don't drink coffee anyway

#

I do do time unfortunately

neat frost
#

Time reeeeaaaaallly changes your brain while developing

deep mango
#

Coffee is a special treat

neat frost
ancient flame
#

o

deep mango
#

It is not to be had most days

ancient flame
#

yeah

neat frost
#

I have large amounts of caffeine every day

deep mango
#

It also just makes me feel worse

fading tusk
#

how do you decide which days are special

#

jitters?

deep mango
neat frost
#

Every day is special to me because I don’t have favorites

neat frost
#

Also

fading tusk
#

I had a legit coffee yesterday it was good but 1 buck

neat frost
#

I do have coffee

#

As well as energy drinks

fading tusk
#

I usually have instant coffee mixed in a mermalade jar

deep mango
deep mango
ancient flame
#

slorpy u die 30

neat frost
#

On a different note I got a chocolate milkshake today from McDonald’s

#

Vury gud

errant ridge
#

is the julia set the "boundary" of something like a mandelbrot set?

ancient flame
#

bruh

fading tusk
#

mcdonalds in spain is so bad 😦

deep mango
#

Chocolate milkshakes way better than coffee

ancient flame
#

whats the span of mcdonalds

errant ridge
#

what is it?

neat frost
deep mango
#

There are a lot of julia sets

#

some are like

#

basically dimension 1 or whatever

ancient flame
deep mango
#

but they're not the boundary of something else nice

#

julia sets are made by a similar slightly shifted iteration scheme to the mandelbrot set

errant ridge
#

hm i see

deep mango
#

i don't remember it

deep mango
errant ridge
#

I guess i can just do $\partial M$ where M is the mandelbrot set

fathom swallowBOT
#

Neamesis (Neamesis for honorabl)

errant ridge
#

can i?

deep mango
#

sure

errant ridge
#

niceee

ancient flame
#

dunkin frozen coffee is good af

deep mango
#

you are welcome to do as you please

errant ridge
#

can you integrate over that?

deep mango
#

dunkin donuts coffee is dirty sock water

ancient flame
#

:/

deep mango
errant ridge
#

yk the contour integral

ancient flame
#

but the frozen coffee is good

#

sweet

fading tusk
#

what is iced coffee sir moderator

errant ridge
#

rectifiable?

neat frost
deep mango
#

what is iced coffee?

ancient flame
#

modinator

fading tusk
#

yes

ancient flame
#

coffee with ice

deep mango
#

it's coffee with ice in it to make it cold

ancient flame
#

bozo

cinder zephyr
fading tusk
#

oh ok

deep mango
fading tusk
#

there is the method of doing pour over coffee onto ice

neat frost
#

When I got iced coffee they like filled it with cream and put a shot of espresso or whatever and it was bland af

fading tusk
#

I think they call it japanese iced coffee

neat frost
#

Made me nauseous

fading tusk
#

and they lie and say it's better

cinder zephyr
errant ridge
#

oh so you can only do contour integrals on a curve of finite length?

cinder zephyr
#

It's so much better what

neat frost
#

I want CAFFEINE

cinder zephyr
#

I love it

neat frost
#

I want SUGAR

cinder zephyr
#

Cold brew is also good

deep mango
#

oh my god do you put sugar in your coffee

#

disgusting

neat frost
#

No it was literally gross

#

Basically milk

neat frost
deep mango
#

yeah good

cinder zephyr
#

Milk >> cream

fading tusk
#

I can make the best coffee but I do instant coffee instead

deep mango
#

milk is delicious

neat frost
#

That was my argument for energy drinks ofc ryc

fading tusk
#

because I don't deserve the good one

neat frost
#

Coffee I take black

errant ridge
#

imagine drinking coffee sotrue

cinder zephyr
deep mango
#

i want a fucking latte

cinder zephyr
#

My internship has a full coffee bar

#

I've had so many macciatos

#

It's so bad but I love them

ancient flame
#

I love machetes

neat frost
#

Same

#

Slice slice slice

deep mango
neat frost
#

They’re fun to swallow

deep mango
#

we might be getting an espresso machine in the math department lounge this year

#

hopefully

neat frost
#

Lol

ancient flame
#

rips your guts as it goes down

neat frost
#

I bet the engineering department has a coffee machine already ryc

deep mango
#

yes, i imagine so

#

it's utter bullshit that we didn't have this stuff

neat frost
#

Don’t you feel under appreciated?

#

Maybe it’s because you DONT DO SHIT

#

You lazy mathematician

deep mango
#

yes, that's why i joined people in complaining about the lack of a well equipped student faculty lounge last may

fading tusk
#

every math department I have been in has had an espresso machine worth more than a year of phd funding

deep mango
#

and now it is happening

neat frost
#

You don’t deserve it ryc

#

You’re a drag on the uni

fading tusk
#

the big ones with a bunch of hoses and steel levers

neat frost
#

They should divert that money to the CS dept

deep mango
fading tusk
#

look like an engine block almost

deep mango
#

why would i give them more than they give me?

neat frost
#

Because

deep mango
#

i'm trying to EARN here

neat frost
#

No ryc

#

You’re too materialistic

cinder zephyr
#

TFW the student doesn't want to be exploited by the university imokay

neat frost
#

Why would someone pay you?

deep mango
#

absolutely not. i am a modern man in a modern world

neat frost
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For your SERVICES

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But you DONT PROVIDE ANY

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Because you’re a MATHEMATICIAN

deep mango
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I'll provide them in a little trickle

neat frost
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And thus a drag

deep mango
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plink pink plink

cinder zephyr
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Mathematics is a disservice

neat frost
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Both monetarily and in every other way

deep mango
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I promise there's more coming!

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Hahahaha

neat frost
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plink plink plink