serious-discussion

[bright hill]

We all get scared of making mistakes and getting stuck

But those are just part of the process

They are unavoidable when learning

[toxic schooner]

what was ur solution like?

[bright hill]

The answer is no isn't it?

I proved it by contradiction

You take the rational "r" you get in the diagnol and substract 1/9 which is 0.111... (assuming r>1/9)

So each digit in r-1/9 is either turned to 9 or 8 or it gets smaller by 1 or 2

So r-1/9 is different than r in each digit

Therefore r-1/9 (a rational) is not in our list.

[toxic schooner]

idk myself

[toxic schooner]

[surreal sapphire]

this only works for r > 1/9 though?

you can just increase digits of r by 1 and then reduce modulo 9, if r is rational it is eventually periodic, and the transformed r will still be eventually periodic thus rational

but not on the list, since it differs from every element on the list in at least one digit

[gentle bay]

@heavy karma @spring wyvern who is the real sam?

Are you both alts of each other?

[spring wyvern]

no

faf is the real sam

i used to be $\neg$Sam

[fathom swallow]

just sаm

[spring wyvern]

but quantum said that faf gave me the perm to use the name sam so here i am

@gentle bay

[gentle bay]

So you are the fake sam?

Why did you steal Sam's name?

[spring wyvern]

quantum

[gentle bay]

@fair mural you are summoned.

[spring wyvern]

should i change my nme to bob

[gentle bay]

Quantum,

1. Why did you bend the fabric and history of the server?

Why did you change spacetime Quantum.

[spring wyvern]

he has a twin (breaking the quantum no-cloning theorem)

[gentle bay]

Things are going out of hand.

There are 2 Sams.

Quantum has a twin.

So many people suddenly have fever.

Many new server boosters.

Chmonkey is dead.

[bright hill]

Yeah, if it's less than 1/9 you just add 1/9 instead of substract

The same logic follows

[surreal sapphire]

ah yeah

[bright hill]

This also makes sense

[neat lintel]

i ate him

[ancient flame]

@odd obsidian playing minecraft all alone in a vc in the math discord server

epitome of nerdiness

[odd obsidian]

its the off topic vocie man

[ancient flame]

ik but still lol

[odd obsidian]

im waiting for someone to say me to come back to study more

I need Mo ti va ti on

[ancient flame]

go study

or else

[odd obsidian]

gimme motivation

[spring wyvern]

Mo ti va ti 📴

[odd obsidian]

motivate me harder

[woven grotto]

Can someone give me advice what algorithm to use in order to visit all nodes of undirected graph with minimal path length? There is just so many on them...

maybe use ant one, but it will be slow with my impl...

i just don't know

[sharp mulch]

You're better off asking about this in the CS server linked in #old-network

[woven grotto]

oh, thanks!

[gentle bay]

I need to restart learning Math .

[coarse grotto]

if you need to restart learning math, do ratner

[gentle bay]

From grade 9 level.

Quadratics.

Systems of equations.

[coarse grotto]

yeah idk,

[brave hollow]

I hardly knew her

[gentle bay]

Rat who?

[fair mural]

i didn’t know her

[gentle bay]

Marine rat.

Slimsully.

[deep mango]

i am become sherlocks

[odd narwhal]

I'm more about irreducible representations of women in meth

[fair mural]

women also do meth

not just men

[ancient flame]

women don't do me :(

[deep mango]

[narrow rock]

[cold needle]

can we not

[fair mural]

gmod will never stop and you know it

[ancient flame]

how is that unacceptable but what quantum said is perfectly okay

[fair mural]

i didn’t mean it in that way

i meant it like this

“men don’t just do meth, women also do meth”

sounds stupid when not in a joke context

[ancient flame]

OHHHHHH

well now I look like a pervert

well I am

but

y'know

[sick burrow]

gmod moment

[fair mural]

gmod moment

[ancient flame]

gmod moment

[sly vale]

gmod moment

[tall badge]

chill moment, and not the good kind

[fair mural]

it’s never good when gmod is involved

[sick burrow]

Anyways I'm doing my part to improve diversity in mathematics 🏳️‍⚧️

[last oxide]

do love planting some trees

[alpine kindle]

based and transpilled

i am also a trans person getting into maths

[trim stratus]

wooo!

[dense belfry]

Same

🏳️‍⚧️

[hallow hornet]

hi

[fathom maple]

after all, depression is sad

[toxic schooner]

[spring wyvern]

all i can see is

baxd

[somber musk]

It says "based"

[spring wyvern]

i know

[somber musk]

At firstI thought it was "boxd" lol

[spring wyvern]

boxd

[ancient flame]

boxed

[quasi torrent]

boxed

[burnt dune]

how do you know in a textbook which problems are good to do

which are not

[sharp mulch]

You should try to do as many as possible

[somber musk]

If the textbook is well written, then all of them are essential for the topic

Even if you can't/don't want to solve some of the problems, then just read the solution and try to understand it

[alpine kindle]

poll: lagrange 🇱 vs leibniz 🇫 vs euler 🇩 vs newton 🇳 derivatives

[toxic schooner]

I personally like to use Euler

but i also have to use lagranges notation, and leibnitz notation as well

[coarse grotto]

I will die on the hill of Newton’s notation for the sake of banter

[ashen bison]

Newton's notation is missing

[coarse grotto]

I reacted N for that

[ashen bison]

but Lagrange > Leibniz > (flip a coin)

[ashen bison]

oh wait but isn't Euler notation widely used in multi

[coarse grotto]

quantum I am going to say it

all ODEs are first order

[fair mural]

kirby has trash taste confirmed

shut the up

all exponents are exponents of 1

[jovial ember]

I like Newton

Because it’s camp

[coarse grotto]

[jovial ember]

I’m ugly on purpose honey

[fair mural]

lagrange integrals

ew

newton integrals are objectively bad

[alpine kindle]

leibniz integrals are the only good ones

well

[fair mural]

it is

[alpine kindle]

euler integrals are alright

[fair mural]

$\line{y}$

[fathom swallow]

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

[fair mural]

lol

expected

no one even knows about newton integrals

[coarse grotto]

also quantum, when you’ve been studying ODEs, systems of ODEs are actually just higher order ODEs

[fair mural]

i know

but higher order odes don’t exist

[coarse grotto]

mhm

dot notation is the easiest

if not that, then Euler’s notation

[alpine kindle]

euler to the extreme

problem, leibnizians?

[acoustic surge]

i honestly think the first one is fine, tho i often use that for directional derivatives

[alpine kindle]

the first one is used by lots of people

the euler indefinite integral notation is quite rare

i doubt anyone has ever used euler notation for definite integrals

[coarse grotto]

the indefinite integral notation isn’t that rare

[neat lintel]

operator in a function space with a eigenvector e^x

[coarse grotto]

[fair mural]

i guarantee you just said random words there

[neat lintel]

lmao

basically you can think of functions as vectors and the integral/differential operator as a linear tranaformation in that vector space of functions

that's functional anal

[tiny marten]

Never study diffeq

Always study dynamics

[fair mural]

that sounds right

[tiny marten]

That's my math take

[fair mural]

but i’m not sure

[ashen bison]

and statics

[ancient flame]

never abbreviate analysis as anal

that is so terrible

[tiny marten]

Real anal

[fair mural]

someone confirm or deny this

[somber musk]

Well I either use Leibniz's notation or Lagrange's derivatives notation, but I find Euler's derivatives notation to be quite simple and neat

[deep mango]

Its correct quantum

[somber musk]

R^R, trivial

[fair mural]

tetration with sets

[deep mango]

Theres a lot to it but

Thats the core idea

[tiny marten]

Yes the derivative and integral are both nicely defined as linear dealies

[deep mango]

Linear dealies

[tiny marten]

Dealy is a superset that includes functionals and functions

[fair mural]

linear dealies

[ancient flame]

pentation

[deep mango]

Functionals are functions

[tiny marten]

Even better

[coarse grotto]

what’s an inverse differential operator that isn’t compact, I know my prof said that most of what is dealt with will be, but I’m struggling thinking of an example offhand

[deep mango]

Laplacian on an unbounded set

On a bounded set idk

Laplacian on an unbounded set can have continuous spectrum approaching 0

And like

Ok

Im dumb cause

You need to add a condition

To make it invertible to begin with

But whatever

Alright i completely rescind my answer

[sharp mulch]

Lol

[neat lintel]

can every differential equation be thought of as an operator acting on some element of a function space?

[deep mango]

Yeah basically

It just might be a nonlinear operator

Linear DEs are defined by the fact that they are linear operators on a function space

[neat lintel]

would eigenfunctions of those linear operators be useful?

like

[deep mango]

You can also split out the linear part and say it's a linear thing equals a nonlinear thing. This is a pretty common perspective to take, since then you can interpret the nonlinearity sort of like an inhomogeneity

Yes absolutely

Understanding the spectral properties of your operator is central to understanding it

[neat lintel]

oh wow

[deep mango]

Especially for like

Time dependent equations

Remember that when you do separation of variables on a time dependent equation you almost always get an eigenvalue/eigenfunction problem in the x variables

"Spectral methods" are extremely common in studying DEs

[tiny marten]

Spectra are just really badass

[deep mango]

They might be the absolute most important toolkit

[neat lintel]

so is functional analysis super important in your field?

[tiny marten]

Functional analysis is a very nice way to support a bunch of analytical applications

[deep mango]

Yeah

[tiny marten]

Like this kinda stuff

[deep mango]

Again probably the most important thing outside PDEs for PDEs is functional analysis

/ harmonic analysis

[tiny marten]

Ngl I am a functional analysis stan

[neat lintel]

wow

[sharp mulch]

Well

It depends on what sort of pde you want to do

[deep mango]

For pure pdes

[sharp mulch]

Yeah for pure pdes

[deep mango]

I should have said

[neat lintel]

im a functional analysis/differential geometry stan even tho i know basically nothing about either of those fields

[tiny marten]

What is an impure pde

[sharp mulch]

Applied

[deep mango]

I mean applied

[sharp mulch]

The stuff I do

[neat lintel]

numerical 💩

[tiny marten]

Oh I see

[sharp mulch]

Where numerics are far more important

[coarse grotto]

functional analysis is neat

[tiny marten]

Gotcha

[ashen bison]

aye an applied mathematician

this server is dominated by pure maths 😦

[sharp mulch]

It's a different perspective right

[neat lintel]

imagine not wanting the analytical solution

[sharp mulch]

In pure pdes you're like

I have this pde, what properties do solutions have

[ashen bison]

i guess all the applied maths ppl are in some engineering server

[sharp mulch]

And in applied pdes you're like

[tiny marten]

I need to study more diffeq

[neat lintel]

same

[sharp mulch]

I have this pde with initial/boundary conditions, what is the solution

[tiny marten]

It seems like a lot of dynamics books are written for continuous, differential systems

[neat lintel]

wait what's harmonic analysis?

[sharp mulch]

Fourier transforms

[deep mango]

As a pure pde person I dont think ive touched an analytical solution in ages

[sharp mulch]

And related things

[deep mango]

Ok thats a lie

I just did on an exam

But

Its rare

Vanishing viscosity method moment

[neat lintel]

I need to study more diffeq 😩

lol yeah they say that a analytical solution for a pde can only be found in the tears of a unicorn

very rare

[neat lintel]

poetic

[neat lintel]

that field studies how to decompose functions into periodic functions?

[coarse grotto]

fourier analysis

[neat lintel]

it's all about that?

[sharp mulch]

And fancier techniques

[neat lintel]

harmonic analysis i mean

[neat lintel]

techniques to decompose functions into a bunch of simpler functions?

[fair mural]

sounds exactly like fourier series

[coarse grotto]

essentially yes

[neat lintel]

seems pretty cool

whats a good intro to harmonic anal book?

[coarse grotto]

I think stein’s book is good

[neat lintel]

are the prereqs real anal?

[coarse grotto]

yeah and functional analysis iirc

[ashen bison]

harmonic analysis? is that pretty much signal and systems

well i don't think that, it's just that i'm more familiar with the engineering perspective

[sick kite]

this is very brave

[frozen merlin]

"#foundations is what buildings are on top of"

[ashen bison]

stuff like Fourier transforms, DFT are covered in your typical signal and systems course, but i've never actually heard of a harmonic analysis course though

[deep mango]

Harmonic analysis is very far removed from signal processing these days

Harmonic analysis deals with things like singular integral operators, oscillatory integrals (see stationary phase method) and related asymptotics

Uhhh

Pseudodifferential and paradifferential operator calculus

It's like a big toolkit for studying different fields of math

Yeah

Harmonic analysis on lie groups and stuff is big

Noncommutative harmonic analysis

[coarse grotto]

numerical analysis is everything that drifted away from pure math fields in favor of numerics

[deep mango]

It is really closely related to signal processing but not only that basically

[fair mural]

how this didn’t get 20 sullies i don’t know

[crystal stone]

Don't let the engineering companies I have frantically applied to know that

[deep mango]

Lol

[crystal stone]

I almost got a job signal processing

I let it slip I don't wanna live in Sacramentor for longer than 3 years

And then I got rejected, other than that they totally bought harmonic analysis & fourier analysis as useful

[neat lintel]

i got u fam

[wild lantern]

Can you say which company?

[crystal stone]

It was a defense company

[solemn sequoia]

Lots of math-related positions in defense and aerospace companies.

[rich bay]

fr some defense company i was interviewing for before accepting my current intern was asking sm questions about cryptography in interview

[burnt kettle]

crypto is number theory tho, and number theory is boring af

[kindred ore]

number theory is awesome

[velvet dagger]

Trolling goes in #chill smh

[round plaza]

Ugh, I was about to publish a bunch of math papers and there are serious problems with the submission system and no realistic way to contact anyone familiar with OJS at 12:15 am so close to New Years.

[neat lintel]

"Mathematics is the queen of the sciences—and number theory is the queen of mathematics." (C.F. Gauss)

can anyone suggest some summer research school programs in maths? Ideally places where non US dudes can apply.

may be a list or something, or somewhere u've been

[vague lion]

antarctica

[rapid folio]

I came across that quote earlier in the year and it still gets me keen on studying number theory, I've just committed myself to seeing through a Workbook at the moment so after that 😅

[neat lintel]

which one would that be? I started working on problems from Ram Murty, and absolutely fell in love with n.t. I came across the quote much earlier on, but didn't realize how true it is until i graduated and had some background in algebra. Only then i realized that it is truly the most beautiful part of maths:)

[neat lintel]

um, could you elaborate pls?

[vague lion]

twas' a joke

[neat lintel]

oh, cuz i live there and didn't see many summer schools. In fact there is not many schools around at all and the summer isn't really summer in the conventional sense.

[rapid folio]

I'm working through an old book called Number Treasury by Stanley Bezuska. It's about looking at a bunch of interesting types of numbers, stuff I've never come across at least, some I have.

What I've found to be the most enjoyable is the interesting connections between the number types.

I also am starting a mathematics club at the school I teach at and the book is something I'm using as a resource

The book sets projects and encourages you to make conjectures and explore a bit more

It led me and some guys in the staffroom to come up with our own idea which we've made a conjecture about, totally pointless but it's fun and it seems to hold up

[neat lintel]

wow, this is wonderful! I think this is what learning maths should be like!

seems like a great book, I wish i were one of your students:))

[rapid folio]

It was good fun, other teachers were walking by since it was recess and there we were exploring this idea.

I'm definitely going to try let it influence my teaching more. The maths club is definitely a small group, but they're all keen. For my normal classes, it's definitely been an eye opener in how I can help the students play around and see connections.

Last 12 months for me have been great mathematically, I've come to appreciate the entire subject so much more. Now I have to translate that to my students

[marsh rover]

Wait, does that make number theory a subqueen? is queen-i-ness transitive? How does this map? Help

[neat lintel]

it certainly is after immediatization:)

[marsh rover]

Ok actual question now, what is immediatisation

[neat lintel]

apparently it is a process when the indirect subjects of a monarch (i.e. subjects of subjects) become his direct subjects

[marsh rover]

Oh ok neat

I think I get your joke now :P

[vague lion]

sorry, you live there?

[neat lintel]

@vague lion help

[vague lion]

what

did you wait for me to be online??

[neat lintel]

No

[cinder zephyr]

Budapest Semesters and Math in Moscow are the two big international programs I know of

they run courses and summer research iirc

[wild jay]

happy new years!

[rapid folio]

Happy new years

You know, for a year that is made up of mostly two's, the prime factorisation of 2022 = 2 × 3 × 337 isn't what I expected

[neat lintel]

wholesome

[neat lintel]

base 10 is chaotic in every way, we must abolish it

[leaden torrent]

every base has this problem

[neat lintel]

yes but at different scales

[leaden torrent]

2022 as a base 12 number (3482) factors as 2 * 1741

[neat lintel]

that looks kinda nice!

[leaden torrent]

(though 1741 in base 12 is 1011)

[neat lintel]

wait

so it'd be like 3482=2*1011

[leaden torrent]

no

2022 = 2 * 1011

[neat lintel]

yes

[leaden torrent]

all those are in base 12

[neat lintel]

oh

[leaden torrent]

in base 10, that becomes 3472 = 2 * 1741

obviouly 2022 = 2 * 1011 in base 10 as well, but 1011 isnt prime as a base 10 number

in any case, the factorization isnt very 2-heavy beyond being even

[neat lintel]

maybe we should just represent numbers by some kind of knot

compositions of knots become the new numbering system

base agnostic

[rapid folio]

A guy I work with was a knot theorist before becoming a teacher, he would be on board 😅

[neat lintel]

i mean you only need lines to represent knots after all

[thorn gazelle]

How to think logically

[neat lintel]

is this possible?

arent knots defined by a two tuple?

like by how many times they cross the donut hole and by how many times they loop around the one connected component?

[paper thunder]

What do you mean exactly?

[thorn gazelle]

like how to think logically

lol

[paper thunder]

You already think logically

[thorn gazelle]

what does it actually mean to think logically

[paper thunder]

That's why I asked

I suppose you mean thinking deductively

Making inference with induction

You could read a book on logic. To see how basic logic works

[thorn gazelle]

yes

[paper thunder]

You already do deductions of what you see in your life

Why do you asked that question?

Maybe I can understand more with your motivation for that

[thorn gazelle]

how do i improve my thinking

skills

[paper thunder]

That's better. What skills?

Which skill

[thorn gazelle]

thinking

i feel so dumb asking this question

[paper thunder]

It's okay. Maybe read Philosophy. It can help to think more about certain things

[thorn gazelle]

mhm

[paper thunder]

I recommend Plato Dialogues

To begin with

They're dialogues only. It's not heavy to read

[thorn gazelle]

i am also suffering from brain fog

[paper thunder]

Hmm. Then just relax and take your time

You can see videos on Philosophy

[thorn gazelle]

do u experience brain fog?

[paper thunder]

I suppose, sometimes, isn't it normal?

[thorn gazelle]

yes

but i have experienced it for a few weeks now

[paper thunder]

Maybe you need motivation

[thorn gazelle]

there's no point reading when u can't understand it

[paper thunder]

It's normal to not understand at first

If it's something heavy

[thorn gazelle]

but what if its not

[paper thunder]

Why?

[thorn gazelle]

wdym?

[paper thunder]

Why wouldn't be normal?

[thorn gazelle]

nvm

[rapid folio]

This reads like a Google search

[brave hollow]

or a book title

[rapid folio]

How to think logically - Xiao, 2022

[brave hollow]

my eyes can't handle this change

[sick burrow]

Plato is

Read Zhaungzi

Abandon thinking logically

[paper thunder]

I like Plato

I don't know Zhaungzi

[neat lintel]

technically you can do something arbitrary, like the number of crossovers, or something, but i think we're not far from describing knots as matrices, which have a determinant, which can be a number

there was that AI helped result to do with the algebraic and geometric 'values' for a knot being equivalent under certain conditions, maybe that? idk i'm just dropping bby

[vast hull]

My son wants to know what other maths you need to know for trigonometry and I have forgot. Can someone help

[toxic schooner]

for learning trignometry?

you just need to understand a but about geometry

[neat lintel]

i suggest euclid's elements

perfect for children from ages 3-8

[paper thunder]

Seriously?

[vast hull]

Any algebra he needs to know?

[paper thunder]

I mean, are you serious? In which country you learn with Euclid's Element

[neat lintel]

no just euclid's elements

[toxic schooner]

basic identities would be all

[neat lintel]

the greeks didn't have algebra

he doesn't need it

[vast hull]

We've been learning algebra and right now he is up to quadratics

Ok

[toxic schooner]

so stuff like a^2-b^2=(a+b)(a-b)

[toxic schooner]

stop trolling ffs

[paper thunder]

Don't

Don't recommend that to your son

[toxic schooner]

for now, dont let ur see that book

[vast hull]

Ok

[paper thunder]

That's a good book. But it's advanced I would say

[vast hull]

He is only 12 just loves math

[toxic schooner]

thats nice

[paper thunder]

Seems good. Do you want to help him ? You should try him to enter a math Olympiad team

[neat lintel]

that's an excellent book for kids

[vast hull]

Thanks for the help guys I really appreciate it

[paper thunder]

😩

[toxic schooner]

shambeh is a known troll

[vast hull]

Well from some of you at least

[neat lintel]

known? really 🥺

[paper thunder]

@vast hull https://terrytao.wordpress.com/career-advice/advice-on-gifted-education/

[neat lintel]

i just try to give good advice issall

[paper thunder]

Maybe that can help

It's an advice from Terence Tao from his experience

[vast hull]

Thank you so much! Have a great day!

[paper thunder]

👍

[paper thunder]

Abstract Algebra for a kid 🧐

[neat lintel]

you'd be surprised!

[toxic schooner]

That isnt so surprising now

[vagrant kestrel]

If you can give your son or daughter only one gift, let it be Erdos

[toxic schooner]

there are 13 year olds doing AA, so

[paper thunder]

It's dead 😩

[paper thunder]

Yes, I would like to know their biography. I mean, maybe they began to study since little

Or they are orodigies

Prodigies

[toxic schooner]

then u may ask @spring wyvern

[paper thunder]

Is he doing Abstract Algebra? Seems cool

[neat lintel]

funfact

my erdos number will be 4

if i publish with right guy in 3 years

[paper thunder]

And now is infinity?

[spring wyvern]

hi i am sam and i'm doing stuff

[upper patrol]

i mean, new maths involved introducing AA to 12-13 year olds right?

[toxic schooner]

what

which kinda maths teaches abstract algebra to 13 year olds

[quasi torrent]

aops?

[neat lintel]

its not crazy though

arithmetic is the easy part of learning math and thats all thats taught in US atleast

moving up in abstraction is only natural step

[toxic schooner]

is this a joke using wordplay on abstract and algebra

[neat lintel]

no

[toxic schooner]

[leaden torrent]

new math didnt teach abstract algebra (at least not in any detail)

it taught basic set theory and logic

and simple proofs, modular arithmetic, etc

still more abstract than what high schoolers today see, much less middle schoolers

but still

[vast hull]

Hello

[leaden torrent]

some parts of new math persist in modern curricula fwiw

its why us high schools teach matrices

while most other countries dont

[distant mason]

Happy new year 🙂
https://youtu.be/brAcrbq7F0g

[jovial ember]

My hs teacher didn’t teach us matrices lol

[paper thunder]

In my HS we saw matrices. But, only how to multiply them and sum them and calculate 3x3 determinants

But we never saw what matrices are for

[honest oasis]

Anyone familiar with hyperreal

[olive karma]

no 🙂

[bronze pelican]

Sad

This was also the case in my precalc class

Matrix multiplication felt so weird

It only made sense when you think about linear transformations and the column vectors being the image of the standard basis vectors

The only justification i got for matrices in highschool was "sometimes you need to keep track of big arrays of numbers", which is fair but this justification makes matrix multiplication so out-of-left-field

[paper thunder]

Yes

And rule of Sarrus to calculate determinant lol

[hollow jackal]

mhm, but i think that if i was introduced to matrices as systems of equations my classmates and I would have been very lost

heck some of my college classmates were lost too, so i don’t really have hope for my younger self

[ancient flame]

yeah I was confused when my friend in precalc was like "yeah we are learning matrices and doing multiplication with them"

im like "have you some vectors?" and he said no, so im like "have you done anything like the determinant or smth" and again, no

literally just matrix multiplication and that's it, like tf what's the point

[hollow jackal]

tbf the only time i ever saw matrix stuff again was calc 3 doing determinants and vector stuff. but that all had its own intro section to vectors so the precalc matrix stuff is kind of useless imo haha

[ancient flame]

yeah lol

you didn't take lin alg?

[hollow jackal]

i did this past semester

pretty interesting stuff, just tedious

[ancient flame]

u did calc 3 before la?

yeah the tediousness and calculations in la turn me off

[stiff cobalt]

my HS does it all as a single .75yr course lol

[hollow jackal]

yeah i’ve heard other people say it’s not ideal

[ancient flame]

all of what?

[stiff cobalt]

calc 1-3

[ancient flame]

WTF

that's insane

do you even like

learn

[hollow jackal]

this la class i took was all computation, and it’s a prerequisite for my upcoming class on la proofs which should be more enjoyable

[stiff cobalt]

ya, lol

[ancient flame]

oh okay

[stiff cobalt]

I think it was meant to be like 350hr in total, so you were expected to do a lot out of class

[ancient flame]

oh damn

[hollow jackal]

that sounds almost unbelievable

like almost impossible to fit that much content in less than a year for high schoolers

[stiff cobalt]

oh, it's an accelerated gymnasium

also education is kind of weird in iceland; we do the equivalent of 1st-2nd year in "secondary" (not sure of all the translations)

[hollow jackal]

even if accelerated it seems way too quick. further maths was 2 years and i don’t even think they covered all that content at a very speedy pace. impressive for sure

[ancient flame]

yeah I agree, it's a ridiculously fast pace

[neat lintel]

based

thats good

lots of ppl spend too much time on that baby shit

[somber musk]

Absolutely

As long as x is positive

Otherwisely √x doesn't exist in the first place

but √(x^2) = |x| for all x

[fair mural]

huh

what are you talking about

the square root is always positive

they were talking about solving an equation

like x^2 = 4

it’s not the same

you didn’t

[somber musk]

It's not the same

|x| and ±x are two different things

They're the same

Solve what? There's no equation

And first of all √4 isn't ±2

[neat lintel]

?

[fair mural]

solve is not the same as evaluate

[neat lintel]

Quantum, is this person confusing you aswell?

[fair mural]

yes

[somber musk]

Same

±2 and sqrt(4) are different

[neat lintel]

Lol is solve in German: *Lösen?

ah

[fair mural]

$\sqrt{4} = 2 \neq \pm 2$

[fathom swallow]

quantum

[somber musk]

Yeah, sqrt is defined to be positive, thus it can't be ±2

[neat lintel]

^^

$4^2$?

[fathom swallow]

George Clarke

[normal sparrow]

is it rlly??

i never knew that

but it doesnt seem right

[somber musk]

if A implies B, where B is always true, it doesn't mean that A is thus true

For example you could take 1 = -1 and square both sides

1^2 = (-1)^2

[neat lintel]

You're solving $\sqrt{4} = \pm 2$?

[fathom swallow]

George Clarke

[neat lintel]

Why?

Okay.

[fair mural]

sqrt(x) is defined to always be positive

[serene parrot]

You are restricting the domain to a strictly positive number

so there is no need to include plus or minus when it is just positive 2

[olive karma]

has anyone done anything with the open university

im thinking about doing a part time masters there

but idk if its worth doing it like that

or just taking a year out and going to a physical uni

[neat frost]

Can you transfer credits from the open university to another university?

If so, why not start at the open university and transfer later when you have time?

That’s what everyone I know who’s doing open uni is doing

[olive karma]

not common thing so proabaly not

actually

maybe less so for postgrad

ik for undergrad it can be more hard

[cold needle]

@kindred latchplease use #latex-testing from now on

[jovial ember]

🥝 737

[rancid meadow]

🥝✈️

[quiet fable]

is there a 101 lesson on how to use latex on this server

[hollow jackal]

$latex goes in here$, you can also use double dollar signs for it to be in it's own $$line$$

[fathom swallow]

maximo

[hollow jackal]

then you can also uses stuff like $\frac{a}{b}, \sqrt{a}, a^b, a^{b+c}, \log_{a+b}(c), \cos{\theta}, \equiv, \approx, \neq$ and much more

[fathom swallow]

maximo

[hollow jackal]

that's some general syntax which you can apply to stuff like \sin, \tan, \int (for integral), and there's always google and #latex-help to help you find something you aren't sure how to do

[fathom swallow]

Gamma Needs a New Nickname

[fair mural]

wow

[fathom swallow]

Gamma Needs a New Nickname

[fair mural]

what the

ok but seriously go to #latex-testing

[fathom swallow]

Gamma Needs a New Nickname

Gamma Needs a New Nickname

[fair mural]

gamma gets banned arc

[coarse grotto]

using double $ for math line and not \[]

smh

[jovial ember]

Holy moly

Did gamma just get themselves shot?

[honest veldt]

Banned? Hello?

[frozen merlin]

people will say this and then use $ for inline instead of \()

pick a team

[reef carbon]

is something wrong with that?

(/gen)

[ancient flame]

god I saw that tone indicator and I was like "oh no we can't let this server turn into twitter" but then I realized it was actually useful in this scenario

[ancient flame]

and not really it's just personal preference I guess

[leaden skiff]

what's wrong with tone indicators?

[deep mango]

I'm a big \[ \] boy

Oops

ok

[ancient flame]

cringe when overused by dream stans

some people put it on every single message like tf

[leaden skiff]

i mean ¯_(ツ)_/¯

[ancient flame]

they're useful when you only use them when the message could be read drastically differently by others

[leaden skiff]

who cares

[ancient flame]

gets annoying sonetimes

[leaden skiff]

i wish they'd have more widespread use imo

i never see them anywhere

[ancient flame]

go to tubbo's discord server

[leaden skiff]

i mean

that's just like one server

this is definitely not a mainstream thing yet

[ancient flame]

ik

[leaden skiff]

not in like the wider internet

[ancient flame]

I think it's okay that they're not everywhere

some people hate tone indicators with a passion

[leaden skiff]

i wish people used this more

[ancient flame]

LOL

[leaden skiff]

these actually seem like they'd be the most useful

cause it's really easy to seem like you're angrier than you are

when texting

[steep mountain]

how do i show my anger

[leaden skiff]

(╯°□°）╯︵ ┻━┻

[steep mountain]

i guess just big letters

WOW YOU ACTUALLY SAID THAT YOU FKSKSKSK

/lu

[leaden skiff]

don't use a indicator

if you always say wow ur such a dumbass /j

and then intentionally leave out the /j

it'll have that effect

but that would require tone tags become a normal part of speech

[reef carbon]

i usually put 🎵 emoji at the start and end of song lyrics if i ever quote any

also yeah like

tone indicators are a means of resolving ambiguous intent, nothing more nothing less

sometimes they can be replaced with full sentences to clarify whatever it is that's unclear

[leaden skiff]

some of these seem a lil uhh less useful

[ancient flame]

yeahhhh

some are good

some are just plain dumb

[ancient flame]

but I agree that these can be super useful when necessary

[deep mango]

Just intuit what I meant next time. Sorry not sorry

[steep mountain]

looking nice af there ryc /nsx

[deep mango]

...unless?

[ancient flame]

looking nice af there ryc /sx

[steep mountain]

ye like indicators kill the fun
just guess what i mean

[deep mango]

Much better

[ancient flame]

lol

LOL OH GOD

[deep mango]

OPEN UP YOU FUCKING TABS

[leaden skiff]

looking really nice sx /ryc

[deep mango]

Why is chrome taking so long to load

[placid quartz]

/uwu

[deep mango]

I want to work on the PUZZLEHUNT

starrats.org

Oh that didnt link

[ancient flame]

I feel like "tab" can be used as a british insult

get out of my car you fucking tab

[deep mango]

Pass me the marmalade already you utter tab

[sick kite]

can we please stop bri'ish discrimination

[deep mango]

i can't do this fucking extraction

/lu

Lol

[ancient flame]

oh

harvard and mit sent me shit a few months ago

biggest ego booster of the year

no scholarships so no go

[pale orchid]

oh sweet, vim supports relationship macros now

[deep mango]

lol

[sick kite]

lol /sx

[jovial ember]

I love you /p

I love you Kirby /p

Whoops sorry r and p are right next to each other

[sick kite]

that's what they all say

[light needle]

Freudian slip

[coarse grotto]

@reef carbon for \[\], it’s a lot more used because the spacing is “correct” so to speak because latex does not natively support double $ bc it’s a TeX primitive, and the \[\] notation is the same as saying \begin{displaymath} which behaves like \begin{equation*}.
Now on the other hand, using $ vs \(\) is not really as clear because there aren’t any major concerns (unless you want mode checking errors and a few other niche things) and people tend to just use $ because it’s more convenient

now like on the math discord using texit, i don’t see the issue on using either, but I’m used to using \[\] on my documents that I use it anyway

[deep mango]

Now I understand that all the times I told people they should use brackets instead of double dollar signs it actually had value

[alpine kindle]

wait

[a^2]

[fathom swallow]

Alison40

[alpine kindle]

😳

[coarse grotto]

yeah it’s a really obscure fact no one really talks about unless you look up why lmao @deep mango

[alpine kindle]

i didn't know that worked

[deep mango]

I just remember someone on tex stack making some condescending quip about using double dollar signs

No one has more control over me than tex stack users

[sick kite]

wait

tex stackexchange?

that's a thing?!

[coarse grotto]

https://mirror.las.iastate.edu/tex-archive/info/l2tabu/english/l2tabuen.pdf
if you want a 22 page paper explaining obsolete stuff in latex, here it is

but the deadly sins in the start are the most important imo

[coarse grotto]

yeah, no one has more power than the tex stack exchange

[jovial ember]

\sloppy 😩

[deep mango]

That's cool, I read the first half of it

I didnt even know sloppy existed

Its a really good thing I didnt

[coarse grotto]

imagine being grilled on tex stack exchange for using sloppy

[fair mural]

@coarse grotto when is the next time we’re going to see drunk kirby

[narrow rock]

[coarse grotto]

it depends

I need to write a bunch of code so probably whenever I do that

[fair mural]

i’ll be waiting

[coarse grotto]

i need to learn rviz

visualize 100 points in an environment

wtf you mean woke

[opaque patrol]

that's your brain visualsing 100 points in an environment

[coarse grotto]

yeah

[unborn trellis]

no fucking way

using fancyhdr is considered bad form?

oh other way

[coarse grotto]

if fancyhdr was bad form, god is dead

[fair mural]

weird how this channel hasn’t had any messages in 11 hours

[rotund steppe]

calling all cats

[mint patio]

Do youy guys include proofs in your notes?

Like afull proof, not just a sketch

[mortal igloo]

Usually you should have the skill of reconstructing the full proof from a sketch

which would mean that a sketch is a more efficient use of time and space

[mint patio]

Do you include sketches Icy?

I just don't know how to neatly put them in

Digital notes

Feels ugly just throwing them in after a proposition but I guess it;s only natural

It's so unsatisfying just leaving it as a sketch though

[icy forge]

You can save the full proof by itself perhaps. If you have HTML, save it as a page by itself, ref-linked to by your actual notes (with back probably handled by a ToC or just rely on browser)

[mortal igloo]

At the undergrad level I didn't take notes at all, because whatever concepts or proofs I needed to look up when doing problem sets were easily available online through skilled Google searches. This freed up my attention to actually follow the lecture, which wouldn't be very easy if I was taking notes at the same time

Basically at this level I feel the only reason anyone should take notes is if they would fall asleep otherwise

[mint patio]

Oh I’m studying on my own

I never note take during lecture either though

Or not like proper notes

Just scribbles

[faint reef]

hi guys nice to meet you

[rotund steppe]

[faint reef]

Nice to meet you neko 😄 umm umm yea

[jovial ember]

I take hella notes

I still pay attention, I just furiously write down what’s on the board and some things they say that struck me as important

[odd narwhal]

I disagree, I find that taking notes helps me follow the proofs a lot better. Especially for more technical proofs you can get lost in the details very easily if you aren't taking notes in my experience.
Also if something in the proof confuses or is unclear me I write down the full explanation so I don't have to re-figure it out every time.

[pliant nacelle]

in my experience i am better of not taking notes but rather just listen

[frozen merlin]

same, I just use the pdf lecture notes they give us

but if they didn't provide those I think I'd have to take at least some sort of notes

[deep mango]

If I'm not taking some kind of notes I lose track of what's going on very quickly, but notes usually help me focus the best when they're short reminders to myself instead of a full transcript of the lecture. Though I usually do the latter anyway.
Also writing things down just helps me to remember them way better. I rarely have to review written notes for more than a few minutes to completely remember them.

[reef carbon]

are there any french speakers here

i want to know how to read function notation when reading a formula in french

like, how would one read out f(x)

[mortal igloo]

Mm at the research level nowadays I need to write down definitions during seminars or else I forget them and I get lost due to them not being repeated

[deep mango]

i think i over notetake

cause sometimes i find that i need to just stop and pay close attention to parse a messy calculation

and then i try to rush and write it up sometimes and it's just like

a mess

[deep mango]

so i need to do this more, i'm not consistent enough about demanding myself to only take reminder notes

[neat lintel]

bbbased

[tiny marten]

I dont generally take notes in classes with a good, classic book

I just never end up reading them because I can use the book

Well, I do take notes they are just sparse and things I feel arent in the book

[zealous raven]

"f de x"

same as "f of x"

[sick burrow]

Lmao glad I'm not the only one

[leaden skiff]

how do you read f dx?

[zealous raven]

"f d x" but the letter d is pronounced as "dé" which is different from "de"

[neat lintel]

i look back at notes

then doubt their validity everytime

unless written independently

[mint patio]

I told my friend who does statistics that I was learning abstract algebra

and he said “idk any math”

I said “true true statistics isn’t real math”

[fair mural]

grrr

[mint patio]

got muted and timed out to the cage channel

[fair mural]

i don’t like statistics but it’s math

different than everything else but still math

[neat lintel]

its applied math for most part

[mint patio]

yes quantum it’s math

the joke was that there’s a lot of writing going on in stats

[fair mural]

the joke is that i didn’t get the joke

[mint patio]

you’re a joke

[fair mural]

feather you’re so mean

[toxic schooner]

feather is rude

posted that rude Ss the other day

[neat lintel]

there is a lot of writing in math :/

[tiny marten]

stats is interesting

lots of stuff done in statistics isn't necessarily theoretical mathematics, especially applications

however, statistics ends up cutting across a lot of topics in math

[ashen bison]

yeah because of errors

and bounds

[tiny marten]

because some advanced things like measure theoretical math may have statistical properties

yeah you may end up doing a statistical argument for some results

but like, basic stats used in fundamental science education stuff is just formulas

and is also stats, so the term is very broad

there is no particular reason you cannot use probabilistic and statistical arguments in research, probability is very useful for forming heuristic type notions that bridge you between formal results

but like memorizing a bunch of formulas or doing regression on a toy data set isnt math really

probability and stats sort of have a relationship with most theoretical math that numerical analysis does

[atomic hornet]

Probability is also just immensely useful in general. In many different fields.

[tiny marten]

yeah it's great, it is also great as a math topic to research

stats, prob, numerics all have a ton of their own math, but their uses just range further than pure math

[narrow rock]

👕
👖

[dire mulch]

You have to give my man some shoes.

[fair mural]

you’re really gonna make him walk around in this cold barefoot

[deep mango]

.

👕
👖
🩰

walking around barefoot

i had a friend in undergrad who went barefoot basically everywhere

he carried sandals in his bag for sticky situations

[fair mural]

[deep mango]

i never did that but i did wear flip flops a ton

[fair mural]

ryc is a flip flop man i see

[deep mango]

i did go to school in california

it wasn't too uncommon

[fair mural]

california does seem to be pretty hot

[deep mango]

berkeley is also a relatively clean campus i would say

i definitely would not have a problem walking around most parts of it barefoot

i tried to wear flipflops in nyc a couple times

on my third time, like 30 feet in front of me a big truck ran over a bottle and it shattered and flew everywhere

if i'd been a little faster my foot would have been pelted with glass

[fair mural]

woah

[deep mango]

so would my legs i guess but whatever

it still was like

[fair mural]

sounds scary

[deep mango]

ok i shouldn't wear flip flops here

that hasn't happened again tho so maybe i still should next spring

[crystal stone]

Weak

I used to go barefoot almost everywhere until I started dating

[deep mango]

True

[crystal stone]

||which is even weaker||

[deep mango]

I very much respect it

I would be a barefoot boy if I could muster the courage

[crystal stone]

I never stepped on glass or got hurt badly

It's just that bathrooms are gross

[deep mango]

Yeah

[crystal stone]

One time at the tutoring center the manager came by and said I had to wear shoes

And I replied

[deep mango]

I have dealt with that at times at beaches and such

[crystal stone]

"you can't just make up rules because you don't like it"

Next day there was a sign

[deep mango]

Lol

[velvet dagger]

Wait so I'm a bit confused it feels like you're joking, esp you mentioned bathrooms as a downside

But if you're not joking what is it about dating that made it change?

[crystal stone]

My now wife, then gf said she wasn't going to date someone that walks around barefoot.

[ancient flame]

like... everywhere?

[serene parrot]

you heard what he said

[fair mural]

@ancient flame considering that he said this, i’m pretty sure he means literally everywhere

[ancient flame]

oh my fuck

that is disgusting as damn

[fair mural]

[unborn trellis]

Isn't that how you get warts and stuff 🤔

[deep mango]

No fun allowed

[crude sage]

Have you seen like how the feet change when walking in barefoot tho

[pure sun]

are you really pro-going shoeless everywhere?

[crude sage]

they look like they become sturdy and fortified

like straight up cavemen feet

[deep mango]

I am not pro going shoeless everywhere but I do not think it is disgusting

As long as you look where you are walking

I am pro wearing flip flops everywhere though, which is not too far off

Obviously only in nice climates

[mild nebula]

I'm Canadian. I go for flip flops as often as I can

But right now it's too snowy :(

[fair mural]

weird how it went from being like average 70 degrees everyday to literally freezing so suddenly

[velvet dagger]

I am def flip flop man

[crystal stone]

For two years in community college, I went barefoot everywhere

I even did my morning runs for water polo barefoot

We ran like 1.5 miles

[fair mural]

that sounds painful

[crystal stone]

You get used to it after a bit

[fair mural]

your feet must look unique at this point

as weird as that sounds

[crystal stone]

I don't have an only fans

[fair mural]

[crystal stone]

I too wear flip flops everywhere

I even walked through snow with them on in Seattle last february

I can tell you that wasn't a good idea

[quick bronze]

Hey guys

What are the college tiers for undergrad math

[devout nacelle]

College tiers?

[crystal stone]

You go to a place you can one afford, and two you get along with the math community

That's the only tier that really matters

[quick bronze]

Like Cornell vs Carnegie Mellon vs UC Berkeley

[crystal stone]

For undergrad?

[quick bronze]

Yeah

[crystal stone]

Those all seem like bad schools for undergrad

[quick bronze]

Really

[devout nacelle]

@deep mango

[quick bronze]

Damn

[leaden torrent]

"bad"

[crystal stone]

In general, yes. I can speak more to Cal but not as much as Ryc

[quick bronze]

Cal is bad

[leaden torrent]

all those are fine lmao

[quick bronze]

How about job opps

[crystal stone]

In terms of professors giving you an education at Cal, it's not that great

Large lecture hall classes

[quick bronze]

Will someone from cmu get more opps that someone from Cornell and vice versa

Or how is Harvard and mit

Along here

[crystal stone]

I think opportunity is more or less the same

I hear harvard and MIT have smaller class sizes, but they're more competitive to get in

[quick bronze]

Yeah they are but are Harvard and mit people like way better in math than cmu Cornell Caltech berk

[crystal stone]

I guess my issue is getting personalized one on one attention, even if you're not a super-star taking graduate courses your freshman/sophomore year

[quick bronze]

Oh I see

R u at cal

[crystal stone]

No, I did community college and transferred to UCLA

Most of my friends went to Cal, and I've attended many lectures at Cal

[quick bronze]

I want to do quant trading

They seem to care where u go

[crystal stone]

I don't know much about that, so I can't speak to it

[quick bronze]

Okay do u know Terrance Tao

[leaden torrent]

my impression is that finance only cares about name prestige

[crystal stone]

For the UC system, a good California Community College often gives a better math education

[leaden torrent]

idk how true that is

[quick bronze]

Yeah they do

[leaden torrent]

but balance it with cost

[crystal stone]

Than what most of what the UCs offer

[quick bronze]

Go on citadel LinkedIn

[crystal stone]

Which is what I'm basing my advice on for "undergrad math"

[quick bronze]

Damn

So why is cal so prestigious

[crystal stone]

This is for the lower division courses

[crystal stone]

In the 1950s and 60s they started sniping Ivy league professors by telling them they didn't need to teach classes, and gave them tenure and fuck you money

To carry out their research plans

Worked like a charm

[quick bronze]

Basically prestige doesn’t matter only for Silicon Valley and finance

And grad school seems to matter for research?

[crystal stone]

The rankings are primarily based on research production, not on quality of education

[quick bronze]

Yeah cuz like John’s Hopkins math is ranked low

[crystal stone]

I think at the graduate level, you separate by subject and faculty

Math is very broad

Is that algebra? topology? etc.

[quick bronze]

Also what if ur math gpa is bad

Like straight bs

Bs what are ur chances

[crystal stone]

Bs aren't bad

[quick bronze]

Cuz I’m not an A student in math

I struggle

I like math

[crystal stone]

If you're applying as a math major to top tier schools it might be difficult to get in if you're not excelling in your HS courses

But I'm not an admissions officer, so I can't truly say

[quick bronze]

Like I have adhd and like calc 2 is kicking my ass

Am I like fucked for discrete math

[crystal stone]

That depends on you, the course, and the instructor

Calc 2 is notorious for being difficult

Discrete Math usually isn't too bad, but some people find the transition very difficult

[quick bronze]

Hmm okay

Also is it bad to pursue math if u don’t wanna teach

[crystal stone]

I wouldn't worry too much about it

[quick bronze]

As a degree

[crystal stone]

Math on its own is pretty useless

[quick bronze]

Like I have no interest in teaching

[crystal stone]

Math + Something Else

Is very useful

Math + Engineering

Math + Economics

[quick bronze]

So double major

[crystal stone]

Math + Programming

Not even a double major, but a minor, or an applied math degree

[quick bronze]

Cuz i don’t wanna teach Hs

Lol

[crystal stone]

A pure math degree isn't worth too much outside of academia

[quick bronze]

Not trying to be rude or anything

[crystal stone]

No it's not rude to say it's not for you

I don't wanna teach HS either

[quick bronze]

The reason I don’t wanna teach is cuz all it seems are just kids who want good grades

And don’t care about learning

And tests are difficult

[crystal stone]

You can't blame them too much: when adults in their life stress how important getting into the "best" college is and they only accept "the best" students

We set them up for that expectation or goal

[quick bronze]

Yeah but I even heard college is the same

[crystal stone]

College is the same as what?

[quick bronze]

Like I heard people who go to top tier colleges

[plush venture]

I mean is not bad teaching HS. You can actually teach calculus