serious-discussion

[simple raven]

So you should take a commutative subring of your ring of matrices, like polynomials of a given matrice M

(it's getting ugly)

[toxic schooner]

as is always the case with algebra

[simple raven]

But by pushing further this idea, you can get a nice proof of the Cayley-Hamilton theorem

[toxic schooner]

oh really?

thats nice

[simple raven]

It's like a formalization of the wrong proof $P_A(A)=det(A - A)$

[fathom swallow]

Adrien

[simple raven]

But I don't remember the details

[turbid epoch]

guys what's the plastic constant

and why is it relevant

(is it?)

[compact tartan]

[inner finch]

what are the intricacies of this one again idr

[neat lintel]

its super cool

apparently, I think dirac did that

[elfin thicket]

Heres a rule I learnt in math. If there is a cool idea then even if it doesnt exist, chances are very high that u can just force it to exist in some way or another. Just create the math why not 🤷🏻‍♂️ treat math like Minecraft and that mindset will get u far especially in research lol. It might end up with many mistakes but who cares! Making mistakes means ur trying at least SOMETHING

If u dont try, u wont make any mistakes… which is a bad thing 😂 here let’s create a saying “an English student never makes any mathematical mistakes whereas a mathematician will make a thousand”

I’ve actually personally tried this method a few times and made up my own stuff with my own notations but often it turns out the thing I made up already exists (except for the notation part which is more than often unique to the user. A good example is how notation has been ABSOLUTELY abused by physicists when writing vectors as states or in relativity courses such as Einstein summation convention)

[neat lintel]

einstein summation convention is not abuse

[elfin thicket]

Ur literally throwing away sigmas

In agreement to say “if we see 2 indices repeated then imagine there is a sigma”

U still have to technically write the sigma to indicate summation so notation is being changed to another convention

[neat lintel]

you dont

[elfin thicket]

Its like the spin up and spin down states too

[neat lintel]

redefine meaning of indices

[elfin thicket]

Instead of labelling things with the actual basis vector they label it with their index

[elfin thicket]

“Its not abuse of notation if I redefine the meaning of what I write”

[neat lintel]

yea

[elfin thicket]

Yeah and hairy balls refers to cute dogs

Because I redefine it like that

[neat lintel]

as long as you make it explicit

its fine

[elfin thicket]

Spaghetti=my nan’s left toe so long as its explicit im not abusing the English language

[neat lintel]

i agree

[elfin thicket]

I like to call it “redefinition”

😂

[neat lintel]

id just say youre using a different language then

and nothing wrong with that except might be confusing sometimes

[elfin thicket]

We’re talking about different things. Ur understanding of what amounts to “abuse of notation” is not the same as my use of it right now. This is an annoying psychological phenomenon i see in people when they talk to each other using the same words with their tongues but having 2 different definitions/usages of that word in their mind and neither person realises that they’re cross-talking to each other about different things since theyre both using the same word

In this case we’re both using the phrase “abuse of notation” but urs is different to mine in meaning

Just a psychological tangent 🤷🏻‍♂️

Im basically defining abuse of notation to mean Pi represents a product and Sigma represents a sum so if I choose to be lazy and use sigma for my products (even if i mention it explicitly!!!) this is what I define to be an “abuse of notation”

[leaden torrent]

id call that stupid, but not an abuse

the classic elementary example is those du = x² dx or whatever things from u-substitution in calc 2

that is objectively an abuse of notation

[primal crater]

ordered tuple -> (a,b) -> open interval

[leaden torrent]

there are ways to kind of make it work

but in any case, its suggestive of a totally valid thing to do

so the notation is being abused but the math isnt wrong

[elfin thicket]

Thats the definition of abuse i used

It perfectly fits summation convention

Sigmas are completely dropped

[leaden torrent]

einstein notation is totally "allowed" though

you say youre using einstein notation

voila

[elfin thicket]

Its simply assumed that if we see a repeated index that we sum over it and the lack of a sigma means we dont know the lower and upper bounds of the sunmation

[leaden torrent]

youre not doing any invalid steps, youre not writing anything thats nonsense when unpacked

etc

i mean, if the set isnt clear from context, then sure it has to be specified

but that doesnt make it an abuse

[elfin thicket]

Its like just writing e^x dx and saying this is an integral when its not

[leaden torrent]

if i write f(x) = x² - 3 and dont explicitly say that f: R -> R

im technically leaving out info

but that doesnt make it an abuse

if its clear from context

[elfin thicket]

What ARE U GUYS TALKING ABOUT e^x dx is NOT a continuous sum (integral)!!!

Come on guys!!

[pale orchid]

actually it's more like you doing multiplication there without writing any symbol

[leaden torrent]

okay, ill phrase it like this

[pale orchid]

you just wrote e^x and dx together

[leaden torrent]

mathematicians have a collective understanding of what an abuse of notation is

your example does not qualify

so if you call it an "abuse" and insist that you're right

you're trying to redefine language to suit your whims

that seems a lot more egregious than introducing an alternate way of writing sums.

if you want a term to describe your discontent with einstein notation, you can call it "bad notation" instead

i disagree with that as well, but at least its an opinion

[elfin thicket]

e^x dx is not an integral. Its not exactly equivalent to using a different symbol and redfining some meaning since we’re saying repeated indices SOMETIMES obey our redefinition depending on context. Sums will always be sums though no matter what the context is so it should be specified that we’re taking a summation. The mathematical way to do this would be a sigma from a starting value up to value N

[leaden torrent]

????

[elfin thicket]

Im using i ntegration as example

[leaden torrent]

but it IS clear that one is taking a summation

[elfin thicket]

Its surprisingly the perfect example because both of these are sums except this one has limit and continuous

[leaden torrent]

theyre not using a sigma to do so, sure

theres no math bible that says you have to use a sigma for sums

hell, theres another totally valid symbol for sums

[elfin thicket]

What is implied is a different issue from the abuse. My child can mispell a word

[leaden torrent]

similarly, theres no rule that one has to use an integral sign for integrals

[elfin thicket]

And under context

It could be clear

Yet

[leaden torrent]

heres an example where an integral sign is not used:

[elfin thicket]

His spelling

Is still

Wrong

[leaden torrent]

f(x) vs F(x)

convention is that F is an antiderivative of f

no integral signs involved

yet still totally valid

[pale orchid]

nami why are you humoring a troll

borington

[neat lintel]

[swift sinew]

Also if you’ve ever written f(x,y) that’s an “abuse of notation” as well. But if you clearly state what you mean by it, like nami said, since there’s no bible for math notation, it’s not an abuse.

[pale orchid]

i'm just gonna mute them

[elfin thicket]

I’ll repeat my point. A child that spells “happy” as “i feel super ahppy” is abuse of spelling but its still clear what is meant by it so ur argument that “clear meaning = correct notation” is fallacious reasoning

[bronze pelican]

dx = dm(x) where m is the usual lebegue measure on R

[leaden torrent]

thats not an abuse of spelling

thats an incorrect spelling.

an abuse of spelling might be

you know

a pun

[neat lintel]

orange you glad that it's easy to ask someone about notation ... unless exam I guess

[swift sinew]

The overall message is that effective communication is what matters in math. As long as you can effectively communicate what you mean, that is sufficient.

[leaden torrent]

the point is that theres no arbiter of correct notation

what matters is that youre understood

[bronze pelican]

There is convention and convenience and thats it

[leaden torrent]

a violation of convention is not "abuse of notation"

since youre not doing anything wrong mathematically

just violating convention

this doesnt mean its GOOD notation

thats a separate question

but its not an ABUSE

mathematical notation represents actual, like, ideas

[pale orchid]

that's the main point they're missing. for something to be wrong, there has to be some absolute reference. except all notation is made up. it's only wrong if you take one notation as absolute truth and compare the others to it. but you can denote anything with any symbols you want, including none. many papers have a section at the beginning where they define which symbols they'll use cuz they're anyway not standardized anywhere

[leaden torrent]

its not random symbols we play with for no reason

(at least not unless youre a formalist doing low level foundations)

[neat lintel]

do you think it should be standardized like with SI units? and even units in Physics has many different "standards"

[leaden torrent]

no lmao

[pale orchid]

i have a patent on $\sum$

[fathom swallow]

Edd

[neat lintel]

lmao

[leaden torrent]

every attempt to standardize math notation has sucked ass

people dont even agree on . vs , for decimals

[neat lintel]

I mean adding something is pretty standard ... so I don't think it can be that hard

[neat lintel]

People use a comma?

[leaden torrent]

i mean, \sum is one standard notation

its not the only one

and itd be very dumb if it was the only one

[turbid epoch]

who uses a comma?

[leaden torrent]

most non-anglo countries

[turbid epoch]

Not here in India.

well guess there have to be some countries

[leaden torrent]

india was colonized by the anglos

but most of europe uses a comma

south america as well

[turbid epoch]

I reject the , like I reject tao.

[bronze pelican]

2pi*i is more fundamental than either pi or tau

[pale orchid]

pi is wrong

it should be circumference/diameter

[neat lintel]

circumference/diameter is wrong .. it should be pi ... wait it is pi

[shy pollen]

guys i am going on australian shark tank to troll

[primal crater]

pi = circumference/diam so, it's a ratio, means π is rational

[fair mural]

pi = pi/1, rational number confirmed

[raven vector]

π = e = sqrt(g) = 3, rational number confirmed

[wanton coyote]

[primal crater]

[neat lintel]

i have a patent on $\sum$

[fathom swallow]

kait

[primal crater]

[neat lintel]

[fair mural]

pi = e = 3, wiser words have never been spoken

[mint patio]

is there a resource for the structure of elementary functions from C to C

by structure I mean like
equations
properties
how to identify translations or stretches

etc

[cold needle]

uhh not sure if this is what you want exactly but a course on basic complex variables could help

ie a book like brown and churchill

[mint patio]

ok

just purchased it

I hate that I have to learn all of this in like a month lmao

how am I supposed to get a good understanding

[sick burrow]

why do you have to learn it in a month

[cold needle]

did you at least check out a pdf first

i mean i have a physical copy too cus i liked the book

but kekw

[mint patio]

oh um

there's a reason I put the

emote

,,

[cold needle]

oh ..

yeah i see

[mint patio]

complex variables is the last unit of this class and there's only a month left until sem ends

not even a month

[shy pollen]

guys i’m too scared to share my code bc i don’t want them to be too afraid of me leaving

[surreal sapphire]

me every day

[neat lintel]

Are whiteboards superior to notebooks when it comes to self study?

[wild lantern]

Well if you want to keep a calculation then a whiteboard is not superior.

But sometimes you don't want that.

So I guess it depends.

I like having a small white board to do rough drawings and calculations when I am stuck.

[fair mural]

notebooks are probably better

the only people that use whiteboards are teachers and math youtubers

[wild lantern]

I generally prefer notebooks for notes and problems.

Some people really like tablets these days.

[river linden]

@light needle https://github.com/JohnDS1234/JohnDS1234.github.io/pull/1

please

[light needle]

oh nice, ill check over the changes thanks for editing

[light needle]

Ok i merged it, the changes are p nice thank you! (i was very lazy with my CSS lol thanks for making it look nicer)

[river linden]

yay

once I get to the level where I can read your blog posts my eyes won't be bleeding

[light needle]

yeah i didnt expect so many ppl to dislike the green on maroon ig lol

but almost everyone i showed hated it oof

[deep mango]

cant tell if john is being btfod or helped

[river linden]

both

[light needle]

[vestal river]

I want to reopen the whiteboard discussion because at least for my thinking process, whiteboards are based

[toxic schooner]

[ancient flame]

quick q: is $\left ( x^{x^x} \right ) ^{-1}$ equal to $x^{(-x)^x}$ or $x^{x^{-x}}$?

[fathom swallow]

gmod

[toxic schooner]

[ancient flame]

oh

[primal crater]

none

[ancient flame]

then what

[primal crater]

$x^{-x^x}$

[fathom swallow]

Ryuzaki

[primal crater]

[ancient flame]

no parentheses?

[primal crater]

parentheses was the problem

[ancient flame]

why

[toxic schooner]

i will just go with $\frac{1}{x^{x^x}}$

[ancient flame]

I don't see why there shouldn't be parentheses

[primal crater]

$x^{-(x^x)}$

[fathom swallow]

Shyshu of the Golden Water ✓

Ryuzaki

[ancient flame]

ohhhhh

[primal crater]

you can use this if you really want parentheses

[ancient flame]

okay I see now

thanks!

[buoyant carbon]

Hi. So I sort of want to be a helper but when they said contact I don't know if they meant ping or dm (so if u know I would love to know). Also is there an activity requirement for being a helper? I just want to try and help 4ish people a day

[fair mural]

@buoyant carbon dm i think

also there’s probably no requirement

a lot of helpers don’t even help i think

[toxic schooner]

dm modmail

[toxic schooner]

yes

[fair mural]

also be prepared to get pinged hundreds of times a day

[toxic schooner]

literally

[buoyant carbon]

Got it. Thanks loads

[buoyant carbon]

Wait is this a joke or am I dumb?

[fair mural]

yeah that wasn’t an exaggeration you will get pinged tons and tons lol

[toxic schooner]

No im not joking

like i wake up to 80 pings all the time

[buoyant carbon]

Hmm sounds fun

[toxic schooner]

a lot of those are HW/test pings as well

[buoyant carbon]

Oh that was fast

[ancient flame]

update on the geometric calculus: im sad
I wanna find a function such that the geometric derivative/integral is equal to the function itself, but it's difficult. I hypothesize that it probably has something to do with tetration (repeated exponentiation) because the exponential function e^x is the equivalent in standard calculus. however tetration is so difficult to deal with so it's kinda annoying. I've luckily figured out the fundamental theorem of geometric calculus and understood how differentials work in this context, so I can begin to understand geometric differential equations through separation of variables. however the hard part is figuring out all of the other methods of solving geometric DEs. luckily I can probably restructure the same methods used in standard calculus to help me but it's still gonna be crazy. so hopefully I can then set up the equation f(x)=f*(x) (the geometric derivative) and identify the 'identity element'

@fair mural in case you care

[mortal igloo]

.... I know what geometric algebra is (it's just the Clifford algebra) but what the heck is geometric calculus?

[primal crater]

[ancient flame]

https://en.m.wikipedia.org/wiki/Product_integral

@mortal igloo

multiplicative version of calculus essentially

im considering doing a talk on it at some point

[mortal igloo]

Oh it's expressible in terms of standard integrals

Hmmm ok

[ancient flame]

yeah

[icy forge]

Please see #❓how-to-get-help

[neat lintel]

is there a place we can spam?

[devout nacelle]

Not on this server

[jovial ember]

Try Manan’s DMs

[maiden bear]

[devout nacelle]

I'm guessing they want to do some kind of rapid spamming and I wouldn't want even #bots to meet that fate

[toxic schooner]

i was just trying to make a bad joke that the server has a channel section called spam

[neat lintel]

Say you are thinking about grad school but you will only graduate with 3.4/3.5 gpa

is there anything you can do to boost applications to have possibility of top schools?, assuming you have one more year and 6 grad courses so far

[surreal sapphire]

good letters of rec?

[primal crater]

[slender hinge]

i graduated with around 2.6 gpa

gg

[neat lintel]

that is not math

that is logic

[fair mural]

still math

[neat lintel]

logic

idk how even set theory could be considered math

the numbers are not behaving like numbers

[fair mural]

it’s abstract math

or discrete math

something like that

set theory is definitely math though

[neat lintel]

ok

if you think so

(and most of the population aswell)

[fair mural]

it literally is math but ok

[scenic narwhal]

[neat lintel]

there is nothing ok about it

why would it be math?

[scenic narwhal]

bonk

[fair mural]

this math topic has symbols i don’t know so it’s not math

[leaden torrent]

its also not logic

fyi

"its not math" i agree with, though its closer to math than logic in any case

[fair mural]

why is it not math?

don’t sets pop up in tons of places in math

[leaden torrent]

because its philosophy

im talking the sticker

sets are obviously math and anyone who says otherwise is just unqualified

[fair mural]

wait then what were you just talking about

[leaden torrent]

but the sticker is from https://ncatlab.org/nlab/show/Aufhebung

[fair mural]

oh

[neat lintel]

LOL

[neat lintel]

what's the square root of 3?

[leaden torrent]

idk like 20 probably

maybe less

[fair mural]

2

[neat lintel]

but 20*20 = 9932929992993999929

that's like half of 3

unless 3 is a perfect prime but i don't think everyone found that yet

[leaden torrent]

damn i was hoping to make a funny with 32 bit arithmetic

but BIG NUMBER THEORY foils my plans once again

[neat lintel]

This is so sad. You hate to see this kind of thing.

[neat lintel]

yes, even I am sad

@neat lintel yoooo whatsup

hey

catfan1337

oh I thought you are talking to yourself

lol

im not crazy

why

because i am a catfan

[drifting jackal]

https://tenor.com/view/cute-kitten-kitten-cat-cats-cattitude-gif-17661396

[fair mural]

if only jan niku was here right now

cat chat

[neat lintel]

https://tenor.com/view/niku-jan-jan-niku-cat-rolling-up-gif-20050767

This is not normal

Is this legal? Is this ethical?

i don't know

But this is not normal

[drifting jackal]

https://tenor.com/view/cat-hug-your-cat-day-snuggle-sweet-gif-8723719

[sick kite]

how would you even begin to solve this equation for some arbitrary mod n?

[leaden torrent]

elementary number theory

[sick kite]

...

alright

makes sense

[neat lintel]

32 is a number I used today

it has a log

and one real 5th root

[leaden torrent]

@sick kite to be more explicit

there is no general algorithm

and the problem is actually NP-complete

but you can often use elementary number theory techniques

though this may be difficult

if your modulus is prime (and > 2), you can use https://en.wikipedia.org/wiki/Cipolla's_algorithm

i think theres an algo for powers of 2 as well

but i cant find it

[sick kite]

Ah ok, thank you

[leaden torrent]

but in general, your techniques will be fairly ad hoc

and tailored to your individual case

its not a fun thing to solve

[sick kite]

I'll come back after burton and try it

[leaden torrent]

that said, for the specific case of x^2 = 3

modulo a large power of 2

you can immediately rule out like

99% of candidates

just by using a prime factorization argument

and the remainder can be narrowed down significantly by approximating magnitudes

then its a simple computer search on like

<0.1% of your possibilities

[sick kite]

then you would brute force your way through because it's NP-complete?

[leaden torrent]

theres probably something more clever you can do

like wolfram solves it even faster

but thats just a naive first pass

[sick kite]

It's possible that wolfram just brute-forces too

with some clever tricks before that stage, like you just outlined

[leaden torrent]

wait a second

you can just do quadratic residue stuff

...

holy SHIT im an idiot

this particular case is easy

okay whatever

lets just

ignore that namington sent 50 lines or some shit

about a super trivial problem

[sick kite]

I couldn't tell so it doesn't really matter

also

third person

...

[light needle]

good thing ur a mod and can purge chad

chat

[leaden torrent]

3 is, believe it or not, not equal to 1 mod 8

man

im dropping out of my phd

[sick kite]

lmao

[light needle]

just purge chat and all of us can pretend like this was a collective hallicunation

[sick kite]

did namington say something?

[light needle]

who?

[icy forge]

[sick finch]

I heard mods here earns 500$ per ban

[distant elbow]

That's like getting 500 dollars for tying a shoe lace closing your eyes

[neat lintel]

ban everyone 😌

[neat lintel]

^

[neat lintel]

sup guys I am tired

[gilded rain]

hey does anyone know how to find unknown variables in a function with the coordinates of a stationary point

[neat lintel]

thank you for improving our knowledge and extending it to another extent by letting us know about you being tired

its sarcasm please do not take it seriously

[polar osprey]

Hahahahaha

[neat lintel]

I am always happy to be educational to my teachers, me being tired is a very important and complex mathematical concept

it is statistics

[swift sinew]

Someone in my class mentioned they’re in PSEO and that sent a new level of defeat down my spine

[deep mango]

pseo

[hidden bone]

Hey guys

[neat lintel]

Hello dsam

[jovial ember]

The fuck is that

[swift sinew]

It’s a program for high school students to take some college classes. It typically only ever covers intro college classes, but somehow this kid got it to extend to 5000-level classes

[deep mango]

[sick burrow]

Terence Tao???

[ancient flame]

terry tao

[pale orchid]

literally no one:

everyone on this server:
Some 2000 odd years ago, Mary conceived a baby boy through the holy spirit while still a virgin. The boy went on to perform countless miracles and ultimately ascend to heaven. This boy was Terence Tao.

[sick burrow]

Some 2000 odd years ago, Mary conceived a baby boy through the holy spirit while still a virgin. The boy went on to perform countless miracles and ultimately ascend to heaven. This boy was Terence Tao.

[leaden skiff]

Some 2000 odd years ago, Mary conceived a baby boy through the holy spirit while still a virgin. The boy went on to perform countless miracles and ultimately ascend to heaven. This boy was Terence Tao.

[sick burrow]

will you guys be mad at me if I ask for math help in this channel

but like actual math

actually I won't

but Hatcher is kicking my ass

[leaden torrent]

i am constantly mad at you but typically for unrelated reasons

[sick burrow]

unrelated to what

[sick burrow]

oh in response to this

[neat lintel]

hi how do i get help from the bot

[neat lintel]

Hello

you @ Bot

sish

[neat lintel]

That story sounds kinda familiar.

I forget the name tho, I think it starts with J

[swift sinew]

Yeah. Ja boy Terry Tao

[ancient flame]

if $\sum$ is summation, then $\prod$ is production

[fathom swallow]

gmod

[toxic schooner]

[clever knot]

Do you have a confirmed date for your talk?

Or estimation

[ancient flame]

I just updated #events

it was gonna be this weekend I thought but probably not anymore

[fair mural]

good that you have so much support

[clever knot]

I hope this won't be nonsensical gibberish.

My smooth 🧠 hasn't understood much about the talks I have tried to listen through

[fair mural]

he said if you understand calculus you’ll understand it

[clever knot]

Calc 3?

Or calc 1 and 2

[fair mural]

no

calculus 1 i assume

i think he said yesterday he’s on calculus 2

[clever knot]

Guess we will find out whenever it happens

[ancient flame]

you just gotta be familiar with derivatives and integrals

@clever knot @fair mural

[ancient flame]

I take ap calculus ab

[ancient flame]

me neither dw but this one should be alright

[devout nacelle]

Please read #❓how-to-get-help

[polar osprey]

Certain things belong in certain servers

[soft ember]

https://www.youtube.com/watch?v=8y7fMmdAcb8 stumbled across this vid on youtube. is it real

[static loom]

no

[crystal stream]

proof is obviously wrong

nobody who is right about anything uses $]a,b[$ as notation for intervals

[fathom swallow]

random variable

[fair mural]

lol

[compact tartan]

$\mathopen{]}a, b\mathclose{[}$

[fathom swallow]

mniip

[compact tartan]

please insert spaces and glue correctly

[ancient flame]

)a, b(

[vagrant kestrel]

I'll be giving a talk on outward facing parentheses

[fringe needle]

Honestly I used to agree about French interval notation being bad but frankly when you’re writing fast it avoids making mistakes and you don’t confuse open intervals with the tone of other things that use parentheses

[leaden torrent]

i have never confused an open interval with anything else

this is an invented problem

[ancient flame]

how about a point

the point (2,2) vs the open interval (2,2)

[leaden torrent]

never.

in what context are you working with points in ℝ² and intervals in ℝ and its not clear when youre in one or the other

like even if you have maps ℝ² → ℝ, phrasing should always make it clear

[fathom swallow]

DootDooter

[wild lantern]

[dire light]

Someone help :/

[leaden torrent]

#❓how-to-get-help

[tribal dove]

This right

It’s really easy to answer

So I didn’t go to a help channel

[pale orchid]

count the 0s carefully

[tribal dove]

Oh ur right

[pale orchid]

and google can check these for u

[tribal dove]

There’s 1 more zero

I figured out I could just plug 0.000644787 into my calc and see if I got 6.44787 X 10^-5

🤦‍♂️

[patent wind]

$\frac{d^{-1}}{dx^{-1}}f(x) = \int f(x);dx$

[fathom swallow]

KingArthur

[ancient flame]

eh

negative derivatives technically dont work

like yeah it makes sense but it's not necessarily proper

and besides you would not raise the x to the -1 power

[rotund steppe]

why do my classes like to talk about functions like mappings now

is there a specific reason for it or is it just a trend

Like I just realized we havent used the word function in a while

the teacher just calls it mapping

[pale orchid]

it's a synonym

[rotund steppe]

oh ok thanks lol I thought I was missing something when he suddenly made the swap

[leaden torrent]

"map" is a convenient, snappy noun and verb

"function" is a clunky word and doesnt have a verb form

i find myself saying "map" out loud way more often

though i use them basically interchangably in writing

[pale orchid]

function does have a verb form, to be fair

it doesn't mean what you want it to, though

[simple raven]

Why do you think it's it bad ? (And what notation do you use instead)

@crystal stream

[crystal stream]

I don't know if its like bad but there was never a time I was glad they used that notation over (a,b)

[jovial ember]

French person!

and they definitely use (,) instead

[simple raven]

The French don't use (,) !

Or it's very rare

[jovial ember]

I meant the person you were replying to

[simple raven]

(or I misunderstood what you'r saying)

[jovial ember]

Almost surely uses (,)

And I am pointing out that you’re French

Because you use ],[

[simple raven]

so (,) means the open interval ?

[jovial ember]

Yes

(a,b)

[simple raven]

and [,] the closed one ?

[jovial ember]

Yes

[simple raven]

and you, what do you prefer ? :p

[jovial ember]

(,)

],[ is so ugly 😭

[simple raven]

haha

[leaden skiff]

ya know what makes more sense than ]a,b[?
a[,]b

[jovial ember]

…

[simple raven]

at the end it's a matter of taste and habit I guess

[leaden skiff]

cause a and b are outside the interval

[jovial ember]

Fuck you

[leaden skiff]

it makes sense!

[jovial ember]

I’m just gonna write [a+epsilon, b-epsilon]

Where epsilon is an infinitesimal

[leaden skiff]

[a,]b

$[a-\varepsilon, b+\varepsilon]$

[fathom swallow]

Ninja

[simple raven]

and how do you write the set of reals $x$ such than $x\geq 0$ ?
$[0,+\infty)$ ?

[fathom swallow]

Adrien

[leaden skiff]

yeah

[simple raven]

alright

[leaden skiff]

or $[0,]\infty$

[fathom swallow]

Ninja

[simple raven]

hahaha

[jovial ember]

We don’t include the +

[toxic schooner]

this is so horrible

[leaden skiff]

it's outside the interval

[toxic schooner]

I would just use )

[leaden skiff]

unironically i kind of like this tbh

[toxic schooner]

[leaden skiff]

$\forall x \in -\infty[]\infty$

[fathom swallow]

Ninja

[jovial ember]

[simple raven]

Even LaTeX thinks it's weird

[leaden skiff]

$$[a,b] \to [a,b]$$
$$(a,b] \to a[,b]$$
$$[a,b) \to [a,]b$$
$$(a,b) \to a[,]b$$

[fathom swallow]

Ninja

[fair mural]

this is terrible

[fringe needle]

That’s just disgusting lmao and no one will support you

I think line and colon could work

A pipe on the closed end and a colon on the open end

[primal crater]

$]a, b[$

[fathom swallow]

Ryu

[toxic schooner]

[crystal stream]

$\neg(()a,b\neg())$

[fathom swallow]

random variable

[leaden skiff]

wdym

[neat lintel]

cute

[ancient flame]

no u

[fair mural]

no u

[placid quartz]

no u

[leaden skiff]

no u

[toxic schooner]

no u

[zealous raven]

no u

[neat lintel]

.reopen

hmm the channel i asked question in disappeared and when it was still open it wouldnt let me post anything in it

bug?

[devout nacelle]

Channels dormant for too long are automatically closed.

[fair mural]

when the bot pinged you to ask if your question was answered, did you react to the message?

[neat lintel]

no bc nobody had actually posted anything yet

then i went out to buy food

came back and it was locked and told me to write .reopen except i couldnt

[fair mural]

if no one reacts to the message, after while the channel will either become automatically unoccupied or locked

[bronze pelican]

Ehats a good sat score

Asking for my younger brother's college admission process

[cold needle]

1400-1600 sounds good to me

[sick burrow]

back when I was applying 3 years ago the average scores at the top schools were like low-mid 1500s

but that's like Harvard, MIT, Caltech, etc

[jovial ember]

Yeah

I think you want ~1500 -1550 to be in a good spot for ivies

But for like everything else if you hit 1400 I’m pretty sure you’re golden

[fossil salmon]

hi

[jovial ember]

I had 1520 and I remember it being just about middle of the pack for the ivies

[fossil salmon]

you guys know math??

[sick burrow]

no

[fossil salmon]

i thought i was the only one

[sick burrow]

Ok I asked this before but no one answered. If each branch of mathematics granted a magic power what would they be

Topologists bending space, number theorists breaking any encryption, etc.

[untold sapphire]

category theorists would just be able to abstract people out of the existing universe and into the platonic realm

as a kind of curse

their bodies would just instantly disintegrate and be spread across all possible worlds

[mild nebula]

Algebraists can combine any two things

[ancient flame]

calculusists can cut a pie up for infinitely many people

[fair mural]

that is a lot of repeated letters

[ancient flame]

LMAO

I didn't know how to put it

bro 94 people are interested in my talk

thats crazy

I have way more than double what mniip got lol

flex 🦾

[cold needle]

its because you said it only required calculus

[ancient flame]

I know

but major flex

[devout nacelle]

mniip has a talk?

[ancient flame]

had

a while ago

[devout nacelle]

[jovial ember]

Why do some people call me Chomsky

@ helpers

[deep mango]

Chumpky.

[jovial ember]

I’m not a chump

[jovial ember]

Good night!

[deep mango]

Shmlunkey

[jovial ember]

Okay

[deep mango]

Come on key.

[jovial ember]

[jovial ember]

🦍

Gollira

[sick burrow]

Chomsky

Chomsky and eryc having a conversation

[devout nacelle]

Gollira

[narrow rock]

Good morning ryc.

[pale orchid]

chgollira

[thorn brook]

Gollira

[neat lintel]

what if some1 is category theorist but not platonist

[untold sapphire]

😛

[surreal sapphire]

austria is starting to prepare mandatory vaccinations

[leaden torrent]

good

way better policy than lockdowns at least

from a cost-benefit perspective

[surreal sapphire]

some people here are thinking about suing the government

both mandatory vaccinations and lockdown interfere with our constitution and the argument is that the gvoernment has to choose the lesser evil first, which they perceive to be mandatory vaccinations

[neat lintel]

mandatory suicide

[leaden torrent]

hm

[neat lintel]

it's a song by slayer

famous band

[inner finch]

lmfao wtf why

[neat lintel]

mirza generics vs java generics

[surreal sapphire]

why what

[leaden torrent]

i can kinda understand having constitutional protections against this stuff since its the kind of thing that could very conceivably be abused

to be clear, i dont think current policies are an abuse

[surreal sapphire]

mandatory vaccinations don't really work with bodily integrity, lockdown don't work with right for freedom

[leaden torrent]

and if an entity wanted to put abusive policies in place, i dont think a constitution would stop them

but i get it

[surreal sapphire]

germany had forced vaccinations from 1950-1970 ish

[leaden torrent]

i mean, part of the reason for the ethiopian civil war is that they used a lockdown as an excuse to delay an election

[surreal sapphire]

and our highest courts said it works with our constitution

[leaden torrent]

i do not want to "pick sides" in that conflict since it seems like a massive mess

but i understand the concern

[surreal sapphire]

current lockdowns are pretty shaky when it comes to the law

lots of stuff was ruled illegal by courts

and currently its kinda like "we dont know if this is ok yet"

[icy forge]

I think there would be more room for lockdowns if they worked

[leaden torrent]

i dont think the constitution factors efficacy into this stuff lmao

[icy forge]

They don't totally not work, but it takes a lot to say a lockdown is economically worthwhile

[surreal sapphire]

austria first had a lokdown for unvaccinated only

now i think lockdown for everyone

[icy forge]

Public support should rely on scientific evidence than otherwise

[surreal sapphire]

and planned vaccinations in februrary

[leaden torrent]

this is a legal issue though

not one of public support

[icy forge]

Legal issues don't matter half /s

[surreal sapphire]

yes, so

i can see why politicians dont want that

i think 30% of people are unvaccinated

[leaden torrent]

wtf

[surreal sapphire]

thats a big chunk of potential votes

but we have this constitution thing

[icy forge]

Constitution is changeable in democracies anyway

[surreal sapphire]

and i would like if courts check if the government doesnt break the laws therein

it is

but if the government deems the constitution bad, they can go through the legal process of changing it

they have not

[icy forge]

Public support should honestly mean more to the courts than otherwise, because the courts serve the people, not the other way around as some might actually believe

[leaden torrent]

i'd like constitution changes to not be justified by short-term policy goals rather than a reassessment of its philosophical basis

personally

there are valid reasons for an individual to be concerned about bodily autonomy

even if in this specific case, opposing vaccines seems irrational

[surreal sapphire]

well, the constitution wasnt changed recently

at least not in this regard

in the 70s it was decided that a law from 1860 on mandatory vaccinations still works with our constitution

[icy forge]

Germany has a nice bottom-up movement though IMO

[surreal sapphire]

and as the constitution did not change since then, its an option

[leaden torrent]

i think constitutions are kind of a dumb way to enforce democratic institutions in general tbh

but i cant think of a better way

[surreal sapphire]

current lockdown are legally on more shaky ground i think

[leaden torrent]

democracies are just fundamentally fragile

[icy forge]

Is this why germany is in the discussion
https://www.reuters.com/markets/stocks/germany-not-ruling-out-lockdown-even-vaccinated-2021-11-19/

[surreal sapphire]

we have a lockdown rn

the 4th (?) one

at least where i live

[leaden torrent]

i think lockdowns are dumb policy though

with the vaccine now available to basically everyone

enforcement of lighter protections is good though

like reasonable occupancy limits and social distancing

i hate that that stuff is reality now

but it is

and it doesnt seem like itll change for a while

[surreal sapphire]

i mostly dont want them to close the uni again

[icy forge]

Wait your unis closed?

[surreal sapphire]

last year politicians basically told us they dont care about universities lmao

its not rn

it was for a year

[icy forge]

Is it zoom uni or physical uni

[leaden torrent]

yeah closing unis is very very bad policy now

[surreal sapphire]

mostly physical

[icy forge]

"not closed" but zoom is just equally stupid

that's nice

[leaden torrent]

like, for the long term health of the economy

you cant take another year away from your educated class

[icy forge]

I wonder if hybrid styles will become the norm

[surreal sapphire]

my university has a vaccination rate of 95.5% among students

[icy forge]

After all uni lecture recordings have become quite a norm

That's actually really low

[leaden torrent]

lecture recording is a good trend\

i do think a couple good things came from this pandemic

hopefully more companies allow optional work-from-home when its possible

or at least like "you only need to come in 1-2 days a week for team communication & morale reasons" or whatevr

[surreal sapphire]

generally lockdowns hit the wrong people

[leaden torrent]

would certainly help the environment if not everyone needs to drive or transit to work every day

[simple gull]

maths

[surreal sapphire]

this is cologne a mere 9 days ago

[leaden torrent]

what public event has those demographics

wtf

[surreal sapphire]

but as long as kindergartens are closed and kids cant even socialize all is good

[neat lintel]

🎙️🐍

[surreal sapphire]

cologne carnival

[leaden torrent]

ah

idk how i feel about closing grade schools

[neat lintel]

[leaden torrent]

like its undeniable that a shit ton of spread happens there

but youre also fucking up child development en masse

its really sad either way

man

[surreal sapphire]

its ok because they cant vote in elections yet

[leaden torrent]

closing schools but leaving everything else open is really dumb though

schools should be among the last things to close

just before, like, hospitals and grocers

[surreal sapphire]

schools are mostly open now

but eliminated the ability to socialize in them

which as it turns out is really, really important

[leaden torrent]

bleh

[surreal sapphire]

child psychiatries are completely full currently

its really bad

[leaden torrent]

yeah i can imagine

and id hate to be a teacher too

[surreal sapphire]

i mean its bad for everyone, but kids cant really deal with it

they also dont have a great lobby

[leaden torrent]

well thats their fault, maybe the kids should find a politician to bribe

pool together allowance money

[neat lintel]

kids need to grow up

smh

kid are you kidding

No

[plucky cloud]

Sup

[neat lintel]

Hello

You belong on the chemistry server

[neat lintel]

kid are you kidding

[neat lintel]

yes

[ancient flame]

symplectic boogaloo

[neat lintel]

simpleton

[timid spindle]

singleton functor

moment

[blazing pawn]

Namington discovering what a woman is

[leaden torrent]

women are a myth

the true path for lgbt+ acceptance is the abolishment of gender

[sick kite]

true!

[high rivet]

Is $10 an hour way too cheap to pay someone for C/C++ tutoring or completing programming homework

[leaden torrent]

for C/C++ tutoring
depends where you live, but probably yes
or completing programming homework
do not ask about committing academic dishonesty here.

competent tutors where im from go for between $25-60, depending on how educated they are

[compact tartan]

even here it's not lower than $13 and can easily be $40

[high rivet]

I listed myself on fiverr as a C++ tutor

But all these Indians are on here and they're charging like $20 an hour but they have reviews and they're credible

[leaden skiff]

unironically based

[high rivet]

So I listed myself as $10 an hour

I've waited like a month and I finally got a customer

[warm marlin]

Any particular reason you are telling us about it?

This is kinda... a Mathematics server.

[high rivet]

#chess-go-shogi is a channel in this server

And programming is more like math than it is like English

[leaden skiff]

yeah but this server feels like the wrong place for asking about what rates you should charge for tutoring C++

[warm marlin]

And you are treading a really thin line here with the rules.

[ancient flame]

lol

[high rivet]

​

[high rivet]

​

[toxic schooner]

​

[cold needle]

||
||

[ancient flame]

@cold needle can i get screenshare perms

pls

ty

[pale orchid]

you got it

[ancient flame]

thanks

[icy forge]

True path for power dynamics equalisation is renouncement of humanity

insert DIO meme

[tiny orbit]

@ancient flame do you mind unlocking the slides of your presentation over on Google docs? I would like to see them! 😄

[ancient flame]

oh sure sorry

[tiny orbit]

thanks so much! ^^

[honest veldt]

Why are four fellas in vc muted

[ancient flame]

it should be fixed

idk strad lol

[tiny orbit]

yep, can confirm ^^

[neat lintel]

lol

[neat lintel]

For which value of $a, a\in\mathbb{R}$ is the graph of $\log{a}{x}$, identical to that of $a\cdot \log{b}{x
}$, $b\in\mathbb{R}$?
In other words: given a, find b where
$\log_b{x} = b\log_a{x}$ where $x, a \in \mathbb{R}$

Solution:
|| b = e^(W(ln(a))) ||

[fathom swallow]

Jadefalke

[neat lintel]

I created this problem and a friend of mine solved it and I'm kinda proud of it (and of her 👀 )

[fair mural]

@neat lintel a numerical solution or just a solution?

[neat lintel]

a general solution for b, given a

in the form of b = f(a) for some function f

[static loom]

||b=ln(a)/W(ln(a))||

[neat lintel]

Yes that is correct!

[neat lintel]

What's the right channel to ask a question about inter-universal Teichmüller theory ?

[jovial ember]

#foundations

Actually memes go in #chill

[sick kite]

why is iutt a meme

I get the whole abc conjecture thing

but on a conceptual level

why

is it bad

[leaden torrent]

by mochizukis own admission, if iutt cant prove abc, it cant do anything.

[sick kite]

but is IuTT flawed on a conceptual level? Or is the idea good, just not developed enough?

[leaden torrent]

if you are to believe scholze-stix, mochizuki's approach to abc fundamentally cannot work

it's unsalvageable, they claim there exist reasons the gap they identified cannot be patched

obviously mochizuki disagrees that a gap exists at all and hence disagrees with this assessment

but outside of japan, the academic community overwhelmingly sides with the scholze-stix objection

(and in japan, most mathematicians havent weighed in one way or the other - very much a "dont rock the boat" academic culture)

if you combine scholze-stix's claim with mochizuki's admission, it follows that IUTT can't do anything at all.

perhaps theres untapped potential, but the people in the field dont see that potential

sooooo

[sick kite]

ok

as scholze is the literal 3rd coming of christ after tao, iutt bad

ty nami

[sick kite]

how does this academic culture that you've identified compare to the culture of other countries?

[leaden torrent]

japan stereotypically has a very passive workplace culture thats realized basically everywhere, including academia

youre not supposed to get in the way of your superiors

and mochizuki, prior to this whole iutt thing, was one of the most respected mathematicians in japan

and still has a lot of prestige

in other countries, while you can still face consequences for going against superiors, people are a little more willing to do so

particularly through indirect letters to the AMS and whatnot

academia is known for being very very petty.

[sick kite]

It seems counterproductive to the purpose of academia to even have an idea of "superiority"

[leaden torrent]

academia is very heirarchical

not all the hierarchies are blatant

mochizuki might not be literally higher ranked than a typical professor, but he
(1) certainly has more connections
(2) likely makes way more money
(3) has a considerable amount of sway in journals and whatnot
(4) is listened to and has an easy time getting into conferences and editorial boards and etc.
(5) carries a lot of inherent prestige on account of his past accomplishments

collectively, he certainly has a superior role to a typical researcher, even if his job title is the same.

this isnt unique to japan

[icy forge]

There are mavericks like Perelman, but they are not the norm

[leaden torrent]

academia everywhere is full of hierarchies

[sick kite]

Perelman is a king tbh

[icy forge]

Also money is something everyone needs to survive

[leaden torrent]

take a look at how much profs in your unis are paid

if that infos public

[sick kite]

I think its close to approx 70k

yearly

[leaden torrent]

youll notice some pretty big discrepencies in supposedly "equal" roles

[icy forge]

Lower than the Deans, Provosts, who may not even be as academically accomplished, that's for sure

[silk scarab]

How do I math

[leaden skiff]

the more i learn about academia the more trash it seems

[icy forge]

Oh what do you mean

[sick kite]

this

is what is meant

[leaden skiff]

you're gonna have to be a bit more specific

[icy forge]

On the whole, human civilisation and power dynamics is very easily summarised as 'trash'

[silk scarab]

How do I math

[leaden skiff]

what math?

[silk scarab]

that’s what I’m sayin

[leaden torrent]

all of these are full time profs at UCLA with roughly equal experience

guess which one is terence tao.

[sick kite]

conceptually it seems weird, as the very purpose of science is to critique and improve - and this lower access of information and respect hierarchy could lead to some researchers being underutilised, and not reach their full potential

[leaden skiff]

no i mean like, do you have a specific field of math you're having trouble learning, do you want to start learning math but don't know where to start, or are you having trouble solving hw problems in school/college

[sick kite]

what even is otherpay and why does one person get 700k?

is that just talks

and stuff

[leaden torrent]

contributions for research and shit

[sick kite]

ah

that one's terry tao

[leaden torrent]

nope, that one is a surgeon

[silk scarab]

Oh I’m not the greatest with algebra I guess. Do you teach around here or..? I just joined

[leaden torrent]

he doesnt see any of that money

[sick kite]

oh

[leaden torrent]

tao is the one who makes 4x as much actual pay.

[sick kite]

I wasn't aware

[silk scarab]

[sick kite]

That was my second choice lmfao

[leaden skiff]

no one here will be able to teach you fully, but if you have some questions you can usually get help (read #❓how-to-get-help)

[icy forge]

how do you have this

[leaden torrent]

its public info

[leaden skiff]

also like i still don't know what you wanna know lmao

[leaden torrent]

https://ucannualwage.ucop.edu/wage/

public unis are obliged to release this information biannually

[icy forge]

Wait the whole UC system is inside?

or only UCLA

[leaden torrent]

the whole UC system

[icy forge]

Wow wait, the whole UC system

[sick kite]

How do they even decide on these salaries lol

[icy forge]

I can't find Aldous

[leaden torrent]

filtered to profs at UCLA

[icy forge]

ok "retired from UCB 2018" I guess

[leaden torrent]

you can see a lot of discrepancy

[icy forge]

Let me check some UC peeps I might know

[silk scarab]

I was joking sorry

Is this image allowed?

[inner finch]

no

[sick kite]

Tao makes like 20x more than postdocs lmao

[icy forge]

Is there a CSV of this? I searched Sturmfels and he makes 150k, which isn't even the first few top pages of PROF-AY

[leaden torrent]

not that i know of

[icy forge]

Do they expect people to scrape it or what

[sick kite]

i wonder how much ribet makes

quick 226

wow

double the average prof

basically

[icy forge]

2019's is here apparently
https://transparentcalifornia.com/salaries/2019/university-of-california/
even better dump
https://raw.githubusercontent.com/jk3587/ucop_comp/main/ucop_comp_2019.csv

Why are coaches paid 4.2M

I'm in the wrong line of work

[icy forge]

lol from searching the paylogs, TIL Judith Butler is still alive

[bronze pelican]

finally

good math tiktok https://www.tiktok.com/@mathandcobb/video/7014171515876822278?is_from_webapp=1&sender_device=pc&web_id6914587112264992257

[untold sapphire]

judith butler donated to kamala harris's campaign

[leaden torrent]

is that surprising

[untold sapphire]

it's a little surprising.

[neat lintel]

@neat lintel

[wicked root]

Does anybody want to teach me all of maths patiently for free?

Pls

[neat lintel]

lol

[leaden torrent]

i will only do so restlessly.

[wicked root]

Pls ???

Oh

Why restlessly?

[neat lintel]

We will start tomorrow, be there at 8.

[wicked root]

Ok what timezone

[neat lintel]

First task: find out my timezone

[wicked root]

Hmmmm

Give me a second

Do you have a normal sleep schedule or no

[neat lintel]

I'm just fuckin with you

though if you really found out I'd have probably done it lmao

[wicked root]

Challenge accepted?

[deep mango]

[honest veldt]

Please help me finish analysis by tomorrow

I have maybe 6 chapters left in this book

dm please

[vagrant kestrel]

be like the rest of us and never read the second halves of textbooks

[neat lintel]

I read the first half, skip forwards and then read the middle like 3 years later

[eager reef]

^

[honest veldt]

Is it even physically possible to finish a textbook from beginning to end

[vagrant kestrel]

nah you need help from the mental or spiritual realm

[wicked root]

haha

[static loom]

if you look in the back of most books you'll find blank pages cause not even the author could physically finish it from beginning to end

[ancient flame]

lol

[tame ferry]

hey self studiers, how do y'all pick a topic and stick with it? i keep picking a topic and finding a book and then being like ooh wait there's another cool topic that i wanna study etc. etc.

[paper thunder]

Going to university

[tame ferry]

choosing classes is easy because my choices are limited but i'm trying to pick a topic to study outside of class for when i am bored

i'm currently studying math at college

[paper thunder]

Yes me too. Well. I usually take several courses so I don't have time to study nothing else. In vacations I try to read the next courses or things like that

[tame ferry]

i suppose yeah

maybe i should just go deeper into my current classes but there are some classes not offered at my college that i'd like to maybe learn

[neat lintel]

a mix in between tbh

I think the main problem is procrastinating

[tame ferry]

fair

[fair mural]

@tame ferry find a topic that you’re really interested in and try to stick with it i guess

although if you force yourself to do something you don’t want to do, you’ll probably end up hating that thing

even if you originally liked it

[tame ferry]

yeah

[compact tartan]

adhd moment

[untold sapphire]

lmao

[modern sail]

i would reccomend picking a topic and sticking with it

[modern sail]

terence tao was born in my city

isnt that cool

[tame ferry]

-_-

[modern sail]

?

[tame ferry]

i asked how to pick a topic and stick with it and you recommended to pick a topic and stick with it LOL

i thought it was sarcasm my b

oh they were thrown into the gulags

[wicked root]

Pog

[wanton fiber]

give me math problem

[wicked root]

Me?

[wanton fiber]

yes

[wicked root]

I don't have one ready yet, and digging one up will take time

Wanna play chess?

[wanton fiber]

no like easy stuff

like 13/7