serious-discussion

[slow pier]

#1207411538650992701

Maybe

You can suggest if there are enough people who want it after you get active

[raw cedar]

basketball sucks

[rough basalt]

Basketball peaked somewhere in the early 20s and currently kind of sucks

But it'll be back

[raw cedar]

ok

basketball wont be good until a balance change

to make it funner

like

[rough basalt]

Nah it's still quite good, they just need to enforce the rules better, which will be a short term pain for a long term gain

[raw cedar]

"every ball has to be on your hand for a fibonacci number of seconds"

[rough basalt]

Yeah I mean, when you devise a way to count the seconds effectively let us know

[slow pier]

I would watch basketball if they did this

It would be genuinely interesting

[raw cedar]

1 2 3 4 5 6 7 8 9 10 11

there

[rough basalt]

Oh you mean like

If i have 3 oranges i have two oranges

I don't understand what you mean then, 0 and 1 are fibonacci numbers

That doesn't change the game at all

[raw cedar]

wdym

[rough basalt]

What is "a fibonacci number of seconds"

[raw cedar]

by my message i meant that an effective way to count the number of seconds is simply to... just count them. 1 second. 2 second

[rough basalt]

Right but 0 and 1 are fib numbers

So like, 0 is a fibonacci number

I did it i touched the ball for 0 seconds

[raw cedar]

yeah but

you couldnt touch it for a non-fib number of seconds

like, 4 seconds

[rough basalt]

How do you measure that

It's up to the ref?

[tropic pivot]

0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, 233..

377

510

887

1397

2284

3681

[raw cedar]

[tropic pivot]

Your Turn.

5965

[turbid sedge]

do you have overbites

[timid bronze]

A barely noticeable one tbh

I didn’t care to fix it cz I didn’t want to wear rubberbands during my braces treatment

I just wanted straight teeth

Why

[turbid sedge]

fair deal

[viral yew]

what's wrong with bisexual teeth

[turbid sedge]

Oh its because

I have one mild overbite since d1

and I wore braces when I was 11-12 and I was in my rebellious phase so I threw those off and decided to include the overbite within my appearance

[mystic hill]

Is it possible to learn this power?

[ocean harbor]

on a scale of 1 to 10, how painful do you think braces are?

[placid shadow]

I'm so proud of myself for engaging with this content, this feels really good.

[silver basalt]

it varies a lot

personally i had the entire range

[ocean harbor]

I see

[turbid sedge]

I don't recall any pain issues related to braces

It was annoying to me because it used to get off when I didn't gobble my food carefully

Once I fiddled it with my tongue while I was asleep and it fell on the dirty floor

The end I was done with braces

[ocean harbor]

I'm getting two different answers it's painful and it's not 😭

[turbid sedge]

😭🙏🏻

[ocean harbor]

yeah that's true

[turbid sedge]

Even if I had pain issues idr it's been ten years

[ocean harbor]

that's crazy

[turbid sedge]

Yeah I readily attached overbite to my appearance

[timid bronze]

It’s painful when you first get them and after you get them tightened

[turbid sedge]

Yeah now i remember

There was something similar

[timid bronze]

I don’t understand how one would not feel pain the first time getting it because their mouth is not used it

Omg

I got pissed off when they added power chains

Power chains are the worst

😭

[urban imp]

Is there any difference between a sequence and a list?

[silent junco]

how do you define list?

[urban imp]

I'm basically asking how math / CS people define it. I know a sequence is a function with domain N, more or less. A list could be the same thing, or I'm imagining that perhaps CS people define a list in terms of its interface or something like that.

[ocean harbor]

thats what I thought as well

and thanks it did

[timid bronze]

Are you getting braces soon?

[ocean harbor]

yep

[silver basalt]

yaay

[timid bronze]

When you feel pain and don’t want to take a painkiller yet, eat ice cream or swoosh your mouth with cold water

It helps with the pain

[silver basalt]

its gonna feel like tugging bc it is tugging but you should be fine so long as your orthodontist isnt shit
but remember to be clear and tell people if and when something is wrong

[ocean harbor]

will do

[silver basalt]

yaay

[timid bronze]

Near the end of my treatment I broke a bracket and didn’t even realize ☠️

[silver basalt]

oh

[wise bloom]

can i get helped

[silent junco]

yeah i mean its fine to think of a sequence as a list. just note that sequences can have other sets as domain, but you can worry about that later

[viral oracle]

I see braces

[ocean harbor]

https://cdn.discordapp.com/attachments/695514882216427540/1231377074648780830/attachment.gif

[wise bloom]

its been 4 hours

:>

[ocean harbor]

¯_(ツ)_/¯

ik ppl waited for one month before

[turbid sedge]

This

[timid bronze]

What

That’s 😭

[ocean harbor]

yeah

[viral oracle]

[turbid sedge]

Sup

Been awhile

[viral oracle]

doing good, hopefully you are too

well I say doing good

kinda caused a mess just a while back over here

[turbid sedge]

I'd rather pay my prof a visit idc if he keeps acting like a bum

[turbid sedge]

Hope you can pull things back to normal flow

I've been decent

[viral oracle]

that's good to hear

[turbid sedge]

🗣️

[viral oracle]

[rocky shuttle]

[viral oracle]

[turbid sedge]

Tuff car

[viral oracle]

[viral oracle]

https://tenor.com/view/cat-hello-cat-peek-cat-door-cat-peek-door-gif-17361470248875227911

[turbid sedge]

Literally my aunt's cat

[rocky shuttle]

too cute >.<

[turbid sedge]

She pulls off similar stunts

[viral oracle]

https://tenor.com/view/cat-kitten-kittens-cute-cooking-gif-27578245

[turbid sedge]

Car buffet 🗣️

[viral oracle]

nice

[turbid sedge]

She's so adorable

[limber thunder]

unevenly cooked

[small stratus]

a month? how does that even happen?

[ocean harbor]

dunno

either they keep the channel active or bot is being bugged

[viral yew]

only by visiting a bisexual dentist

[frigid stone]

are there monosexual dentists?

[wet quarry]

if i am a straight dentist, can i become a bisexual dentist?

[frigid stone]

yes

[wet quarry]

What arduous training do i have to undergo to become a bisexual dentist?

[south kelp]

First you have to go to dentist school

[old oak]

Where do you go to get dancing teeth?

https://tenor.com/view/monty-python-terry-gilliam-teeth-dancing-teeth-animation-gif-21023797

[ocean harbor]

from ai

[old oak]

Terry Gilliam is a real intelligence

[young fern]

The back alley to get crack

[dim stirrup]

Anyone wanna discuss if cs is cooked? I was planning to go into it during high school but did a complete 180 when ChatGPT was released

[leaden torrent]

i want to discuss nothing less

[old oak]

I mean, there are things I want to discuss less; but this is certainly down there

[old oak]

Here you go, from the horse's mouth: https://chatgpt.com/share/694f0a7f-9078-8011-ba94-96e1b43e14b2

[dim stirrup]

i think the main problem with CS is that its too easy to learn

all you need is a computer

and you could access the content from the best universities in the world for free

[cyan karma]

is access to information bad for mankind

[ocean harbor]

it wasn't easy when AI wasn't a thing

[cyan karma]

Sorry the world isn't built around privileged people making money anymore in every domain

[cyan karma]

This isn't about AI only. More people have access to education now

Historically trade guilds have formed to limit access to information to hold more power

[ocean harbor]

read what they said

[old oak]

I don't think so, mankind clearly doesn't use the information anyway

We've had access to great information on epidemiology and climatology for decades, and look at the past few years

[cyan karma]

If you phrase it as a problem, I'm going to disagree

[pulsar remnant]

ye, really for me, it's figuring out how to utilize it to the greatest extent, the internet has alot to offer, too much honestly

[ocean harbor]

I'm ngl when I first joined cs to learn something but all I got was many ppl are relying on AI code and they weren't doing anything else

[cyan karma]

Being able to download courses isn't a problem . And AI doesn't make software engineering easy

[ocean harbor]

gonna respect ppl who graduated before that

[cyan karma]

people didn't had tools to help them like compilers , stack overflow, syntax checking

before that it was hard

[ocean harbor]

yeah it was hard

[dim stirrup]

also it's reached the point to where most people who enrol are not interested in the topic but do so only because of the high salaries

I remember when I started I didn't know devs made millions I just thought it was interesting

[cyan karma]

Jesus Christ that job description...run

I'd rather excel

[limber thunder]

false, the job is microsoft teams and 843287873 meetings a day

[pure sapphire]

J*b

[jagged forge]

i got started making (terrible) games on my ti-84 lol

[timid bronze]

You can play games on a TI-84??

[limber thunder]

people have made DOOM for the TI-84

[placid shadow]

You can even run the TI-84 on the internet I think.

[timid bronze]

I want to play games during exams

[jagged forge]

yes you can! i think there are a few built in games

[timid bronze]

The TI-84 plus CE?? I hope not

[jagged forge]

there was the block dude game

[placid shadow]

[timid bronze]

I used that calc in physics, and physics bans Internet connecting calculators

😭 😭

Ah online says you need hardware for it to connect to the Internet

[timid bronze]

Wtf 🥀

[placid shadow]

Ye

[jagged forge]

WTF

[timid bronze]

ChatGPT ☠️

[jagged forge]

chatgpt on a ti84 is foul

[placid shadow]

😂

[timid bronze]

You need hardware for it tho

[placid shadow]

Yea

[limber thunder]

me slapping a rpi into the calc

[timid bronze]

GPT loving freaks are trying to get my calculator banned bro 💔

[placid shadow]

Wow!

[jagged forge]

Reverse PolIsh

[placid shadow]

https://cdn.discordapp.com/attachments/1259416559097610340/1454082345274577000/image0.gif

[shadow aspen]

ChatGPT is bad at math anyway

[jagged forge]

im sure it can do high school level math

[placid shadow]

Yea, and if you need it then are you really worthy of graduating with your degree?

And you don't even need it to solve problems, you can just do them yourself.

[shadow aspen]

I’ve seen it fail at algebra several times while using it for calc II questions

[placid shadow]

No

[shadow aspen]

It said 2/4=1/5

[placid shadow]

I've seen it fail so many times at basic algebra 1 stuff while I was doing it, to test if it was capable of solving that while I already knew the solution.

[placid shadow]

It hallucinates answers, it only gives seemingly convincing things, but math isn't like that.

[jagged forge]

well, i guess everyone uses the free verssion

[placid shadow]

You can't hallucinate in math, you can only give an exact answer and the answer is either true or false logically.

[shadow aspen]

Plus the version on the computer would be a reduced version

[jagged forge]

well there's no way they're running any gpt on a ti-84, surely it's over the internet

[placid shadow]

It is over the internet.

[shadow aspen]

The problem is it’s based on statistics and it’s a LLM, if it sees people completing a problem a certain way that’s wrong, it’ll do it that way

[placid shadow]

I watched this video a while ago.

[shadow aspen]

Dude just use Wolfram Alpha at that point

[placid shadow]

I think this is the best comment on the video. If you're willing to tinker with electronics then is it really worth it at that point?

People who cheat should be dropped from college.

[limber thunder]

genius kids with a special interest in electronics is one of the kind of people that the education system often fails

or something

[static grove]

eh they pay to cheat, then they waste their money

[jagged forge]

i think my first program on my ti-84 was a quadratic equation program 💀

[shadow aspen]

If you need to cheat to pass an exam, there’s bigger problems at play, you should be given support so that you can learn without the pressures that would cause you to cheat

Cheating is a result of the system

So is using ai

[pulsar remnant]

same

[placid shadow]

I don't know my opinion on this, I think topics revolving around these subjects like AI-usage is sophisticated

[tawdry spindle]

Not using ai will set you up for failure tbh

At least in swe

[pulsar remnant]

I dont have the guts

[placid shadow]

Swe?

[tawdry spindle]

Software engineering

[placid shadow]

Me neither, and it'd make me not actually learn something.

[static grove]

100% untrue

[placid shadow]

If I get a job with a false degree, then I'm kinda a fraud.

[warm sable]

yo

[placid shadow]

Hey!

Welcome to mathcord

[warm sable]

how do i max my proficiency in academic fields like maths

[tawdry spindle]

How so

[warm sable]

appreciate your welcome

[placid shadow]

What about the people who have been doing well way before any AI such as gpt

[placid shadow]

ofc!

[pulsar remnant]

uh, organic chemistry tutor, and repetition?

[tawdry spindle]

You'll be a lot slower if you completely avoid ai

[placid shadow]

Practice practice practice, and learning good

[tawdry spindle]

As a rule of thumb i try to use Ai to achieve tasks i can do if given enough time

[shadow aspen]

Practice, learning intuition, and praising our messiahs over at Khan Academy and 3Brown1Blue

[tawdry spindle]

Using ai code while not knowing what it does or how it works is bad

[warm sable]

learning intuition?

[static grove]

ive heard of many experiences where cs majors use ai to "self learn" and end up having to unlearn and relearn alot of stuff because they learned false intuitions

[tawdry spindle]

Agreed

[warm sable]

i get the importance of practicing its undeniable and unavoidable but i want to be efficient and be smart with it

[tawdry spindle]

Documentation can not be swapped with ai

[limber thunder]

from what I've seen, people with good git/versioning discipline, who can write tests and generally adopt good programming practices are the ones benefiting the most from AI agent workflows

[pulsar remnant]

sometimes AI creates hallucinations/falseinfo

[static grove]

3b1b is generally not a good resource for learning. He does tend to link good resources though

[placid shadow]

Maybe you can think like a mathematician then?

[warm sable]

idek what that means i'm really behind

[limber thunder]

the idea of the vibe coder who doesn't have any idea about programming is kind of a caricature

[placid shadow]

You're really behind in your class?

[limber thunder]

like ofc it happens and it's the worst case

[warm sable]

i dont have any abstraction or conception all i've done in maths was whatever my teacher just gives me

[limber thunder]

but the best case is

[warm sable]

yeah i fell behind in maths and now i'm so behind it's beyond reproach the gap keeps widening i cant even ask for help because of how behind i am

i dont want to give up maths

i also dont got much time either

[static grove]

discipline, consistency and a ton of practice are the only way you will improve

being curious too

[warm sable]

i take steroids btw

[tawdry spindle]

@static grove Is that a fairy trynna smoke a cigarette btw

[placid shadow]

Focus on the book for your course! Try to think reasonably about what's going on inside of it.

[static grove]

yes i wish i had a cig that big rn

[shadow aspen]

I would disagree, I think he abstracts ideas from mathematical subjects away from conventional paths, but in doing so he gives intuition, he’s great for learning in conjunction to classes, as in giving the intuition he fills the holes many university level courses often don’t have the time or patience to fill

[warm sable]

how does intelligence work in terms of maths

[shadow aspen]

Intelligence is relative to mesure

[placid shadow]

Knowledge and intuition.

[placid shadow]

Such as speed of solving a problem?

[warm sable]

how is it relative

like tests?

[static grove]

on its own it doesnt do much. As a supplemental resource, sure

he does give good intuition i agree

[warm sable]

where do i begin if i want to self learn mathds

[static grove]

learn how to sit down and read a book

[placid shadow]

Why not begin with your class right now and master it?

[warm sable]

imma block this bepis kid

[placid shadow]

The stuff that you and your peers are currently learning

Ouch, that's really mean! :<

[warm sable]

fine

ok

i'll read a book

what book

[shadow aspen]

If I score a 1600 on the SAT, people would call me intelligent, but if I were to get an award for an art piece, people would also call me Intelligent. When you abstract intelligence into objective means, you limit the span of understanding, in my opinion, intelligence is best described as an infinite dimensional quantum state than anything, and your mesure is an operator you apply.

[warm sable]

i was kind of hoping you'd break intelligence down into parts and explain how they're important to maths

[limber thunder]

there's Khan Academy for school maths, Paul's notes for college maths https://tutorial.math.lamar.edu and Hammack's Book of Proof if you want to eventually learn "pure math" or proofs https://richardhammack.github.io/BookOfProof/

these are all good free resources

[warm sable]

i appreciate you sending me these resources

[shadow aspen]

Well I would say you want to hear the different skills associated with math:

-interest
-memorization
-reasoning
-more interest
-creativity
-intuition
-being open minded
-EVEN MORE INTREST

Sometimes even an affinity for trains

[warm sable]

are u on the spectrum?

[static grove]

memorization

[placid shadow]

Wtf

[shadow aspen]

By there being a spectrum it insinuates everyone is on it

Also na, just got a lot of bees in my brain

[warm sable]

just a quirky guy

[static grove]

complex valued autism 🗿

[shadow aspen]

Something like that, I just went through High School being called smart but also knowing that I’m just like anyone else. I also saw that when people are called stupid they start calling themselves stupid which makes them afraid to grow and of failure

[dim stirrup]

OMG I USED THIS CALCULATOR IN HIGH SCHOOL 😭

funny story

[jagged forge]

i think they still use it tbf

[dim stirrup]

this girl got mad at me at clearing her memory

[jagged forge]

the updated color version anyway

[dim stirrup]

and i just said to her

THIS WILL BE YOU DURING THE EXAM

and she shut up

[jagged forge]

LOL

sigma male

[dim stirrup]

cuz they collect our calculators and clear them

good times

[jagged forge]

they didn't clear mine, so i was able to use my quadratic equation program

[placid shadow]

Were you allowed to use a calculator in your exams?

[dim stirrup]

yep

[shadow aspen]

I got Desmos for the SAT

[placid shadow]

Ooo

[placid shadow]

Easy cheatcode 🤭

[shadow aspen]

Also AP Calc and Physics

[dim stirrup]

i wish i had AP

i did IB

[placid shadow]

They allow desmos on them?

[shadow aspen]

Yep

[placid shadow]

Do they teach anything different? Or is the pursuit only the fact that you get credit in college for already doing it?

[shadow aspen]

Got bored after finishing the math section on the SAT once so I started doing polar coords

[dim stirrup]

yep it's different and probably worse. Ik an American that did AP and he is more competent in calculus

[warm sable]

as in investment banking?

[dim stirrup]

no international baccalaureate

it's a bit cracked you get 50% just for writing your name on the paper

[placid shadow]

How about Khan Academy AP calc?

[dim stirrup]

hmm I didn't watch khan academy ever but I'd say it's solid

I once wished I could make a logic course for khan academy lmao

[placid shadow]

Oooo are you a teacher?

I wish there was a logic course on Khan Academy :3

[dim stirrup]

I was actually voted in the yearbook to come back and teach at my high school LMAO 🤣

no but a prof is def a dream profession

[placid shadow]

Hehehe

[placid shadow]

Yayyyyyy!!!!!! Same!

If I can teach in a really intuitive way, that'd be so awesome.

Like 3 blue 1 brown.

[dim stirrup]

yea those animations are so complex tho

[placid shadow]

I wonder why professors don't use animations or projectors.

We're in the 21st century.

[dim stirrup]

omg you remind me

we had a teacher for calc 2 that had a really experimental classroom set up, he would use desmos and other visualizations

most didn't like him but I could understand his intent

[placid shadow]

Niceeeeee

[placid shadow]

That's really unfortunate :(((

[dim stirrup]

🙁

[cyan karma]

Realistic goals

[timid bronze]

Boltzmann constant

[dim stirrup]

yep my fav scientist

literally the most cool and hot

[timid bronze]

Lmfao

Fair

[static grove]

Quite a sad story for such a brilliant man

[dim stirrup]

yep. it shows people only see your brilliance after you die

the way he went out was heartbreaking, a bit like Gödel

[placid shadow]

He looks like if my cousin had a beard

[dim stirrup]

I'm gonna get his hairline in a few years 😤

[placid shadow]

It's a nice hairline!

[slender echo]

Remembered for his hairline most

[tropic pivot]

whose?

My hairline is receding with lots of dandruff.

[dim stirrup]

is it correlation vs causation

why do all the scientists have wacky hairlines

does this mean I also need one

[errant zenith]

False

[errant zenith]

No

[foggy meadow]

$t_{n+1} = \operatorname{Trunc}\left(t_{n}-\frac{E\left(t_{n}\right)}{\left(E\left(t_{n} +10^{p_{n}}\right) - E\left(t_{n}\right)\right)10^{p_{n}}}\right) \ $ where $E\left(t\right) = \left|\zeta\left(\frac{1}{2} + it\right)\right|$

[junior grove]

If you want to keep chatting over here. I'm up for it, I'm just reading a building tonight for work

So did my operator make sense?

[fathom swallow]

DisOneGuy

[foggy meadow]

Yeah, it looks like decimal bashing, why the trunc?

[junior grove]

The next two decimals weight the landing

The next two unseen decimals

[foggy meadow]

Yeah, that make some sense.

[turbid sedge]

Jumpscare

[junior grove]

And with that operator I can jump at least 9999 decimals if I have at least that mantissa of t

I have only proven a jump of 9999 so won't claim more

[foggy meadow]

I'm still confused what trunc does.

Or what p_{n} is.

But again it does look like decimal bashing or whatever. Which I used for other stuff during my time making physics based games.

[junior grove]

[
p_n := \min!\big(k_n + 5,; k_{\max}\big)
]

[fathom swallow]

GrummerPeck

[foggy meadow]

What's kn?

[junior grove]

k_n is the number of decimal digits retained in t_n at iteration n.
It defines the resolution of the state and the truncation scale of the operator at that step.

I truncate to keep the operator deterministic and closed.
Truncation keeps each iterate exactly on the decimal lattice defined by the digits I retain.
Rounding would introduce carry-events from unseen digits, changing the trajectory and injecting artificial bias near the sink.

[foggy meadow]

So how is that calculated?

[junior grove]

Arb interval math at massive dps

Oh the mantissa length?

Just count how many decimals 🙂

[foggy meadow]

So could I just set k_{n} to be 5 or something?

or like k_{n} = (1,2,5,72,123,...) ?

Like right now k_{n} is just another random seeming operator.

Quite literally a variable you haven't defined.

[junior grove]

Yes, k_n can be fixed (e.g. k_n = 5), but then the operator becomes a finite-resolution map on a fixed decimal lattice.
It will still move toward a sink, but it cannot refine the zero beyond that resolution.
Growing k_n is what allows the operator to “lock in” digits and continue converging.

[foggy meadow]

Great so what is k(n) = ?

[junior grove]

The mantissa is the Information

[foggy meadow]

🤷‍♂️ Idk what that means here math wise.

[junior grove]

In a slope you can only project as far as your information allows you to project. The mantissa of theT is the information for the slope

[foggy meadow]

Yeah so explain to me in math how I calculate that?

if I have a random t = 23.23438948395793... how do I get that mantissa?

You have to describe all of that.

[junior grove]

Let t be a real number written in decimal form
t = a.b1 b2 b3 b4 … ,

where a ∈ ℤ and b_i ∈ {0,…,9}.

If t is stored (or trusted) to k decimal digits, then its mantissa resolution is
10^{-k}.

Equivalently:
k = max { m ∈ ℕ : t is known up to truncation at 10^{-m} }.

The mantissa scale is then
Δt = 10^{-k}.

Applied to your example

t = 23.23438948395793…
If you retain k = 14 digits after the decimal point,
then the mantissa resolution is Δt = 10^{-14}.

Was that mathy enough?

[foggy meadow]

{} is for sets, for functions ().

[foggy meadow]

Also, this feels p-adic like.

[foggy meadow]

is k the number of decimals you have?
If so then that should be the p-adic metric, I think.

[foggy meadow]

Yeah it lets me know you're sort of viewthing this through a p-adic lens. Which is really neat!

And not something I expected.

[foggy meadow]

https://en.wikipedia.org/wiki/P-adic_number#Topological_properties

[junior grove]

k is the number of decimal digits retained.
That corresponds to a valuation, not directly to a metric on ℝ.

[foggy meadow]

It's not on R

p-adics are their own thing.

[foggy meadow]

I like the idea, it's really cool here. But you should learn a bit more math.

[foggy meadow]

https://www.youtube.com/watch?v=3gyHKCDq1YA

[junior grove]

I just need a math friend to formalize my work, my strength is software

[foggy meadow]

I mean I get what you're doing, but knowing this stuff will only help you.

[junior grove]

But I do know it, computationally and from an engineering standpoint

Lacking math just limits me from explaining it to you

[foggy meadow]

Yeah, so here watch this part:
https://youtu.be/3gyHKCDq1YA?t=210

[junior grove]

My operator lives on a base-10 adic filtration of ℝ; it is adic in structure but not a p-adic field.

[foggy meadow]

Yeah and he goes over the 10-adics in that video.

$\frac{1}{|t_{n}|_{10}}$

either way is what you are doing I think.

[neat lintel]

10-adic filtration of R??????????????? isn't the ideal just 1 😭

[foggy meadow]

Dude doesn't speak math.

[junior grove]

Zeta is prime-generated, but that does not make the state space p-adic.

The primes enter through the definition of E(t)=|ζ(1/2+it)|, i.e. through the Euler product and spectral content.
My state variable t lives in ℝ and is updated on a base-10 resolution lattice by truncation.

So the dynamics are driven by a prime structure (zeta),
while the geometry of the state space is adic-by-resolution (base 10), not p-adic-by-divisibility.
These are orthogonal layers.

[foggy meadow]

$\Delta_{t} = |t_{n}|_{10}$

[fathom swallow]

DisOneGuy

[foggy meadow]

It's a modified p-adic operation though.

hmmm...

[junior grove]

Ultimately it's a linear operator that can jump thousands of decades and land perfectly on the zero. You can honestly call it whatever your want 😉

[neat lintel]

how is it p-adic??? i guess he is using the decimal expansion only???

[foggy meadow]

p-adic metric.

[raw cedar]

wow they're all homeomorphic to the cantor set?

[neat lintel]

what do you mean???? clearly they are working over R or C

[foggy meadow]

Bruh

[neat lintel]

why should be it a p-adic metric??

[foggy meadow]

Because programmers mix and match the **** out of stuff.

No math person would do that

[neat lintel]

😭😭😭

its a simple decimal expansion i'd guess

[foggy meadow]

Yeah he separated the decimal to be separate from the head.

and the mantisa part of a floating point is very similar to p-adics in this case.

It's actually dense over it from what I remember.

[junior grove]

I mixed and matched very little, relying on first principles, no new formula, no weird pde

[neat lintel]

also, let's say that you get the converging thing and all, what does it prove?

[foggy meadow]

Yeah I can tell.

[junior grove]

It's prints a linear operator exists

Proves

[neat lintel]

from where to where?

oh wait. i'm brainrotted at this point. R to R right?

[junior grove]

From ℝ to ℝ, but advancing information (decimal resolution), not position alone.

[neat lintel]

what does convergence even mean here 😭 like it doesn't converge at 1/2 and you need some complex analysis

[junior grove]

The rate of energy decay converges to a constant

Making an invariant slope

[neat lintel]

that's fine, how is it related to reimann zeta? put t=0 in your case and explain me what does it mean?

[junior grove]

The operator is tied to ζ through the energy functional

E(t) = |ζ(1/2 + i t)|.

Setting t = 0 means evaluating the operator at the real point
s = 1/2 on the critical line.

At t = 0:
E(0) = |ζ(1/2)| ≠ 0,
and the local slope E'(0) exists.

So t = 0 is not a fixed point, not a sink, and not special dynamically.
It is simply a valid starting address with finite energy.

Applying the operator at t = 0 means:
“How much positional refinement along the critical line is supported
by the local energy slope at s = 1/2?”

The operator then moves away from t = 0, toward lower-energy regions,
until it encounters a true sink (a zero of ζ).

Thus:
t = 0 is a high-energy, non-attracting point in the same ℝ → ℝ
transport system.

[foggy meadow]

$E\left(t\right) = \left|\zeta\left(\frac{1}{2} + it\right)\right|\$
$E_{L} = E\left(t_{n} + \operatorname{min}\left(|(t_{n} - floor(t_{n}))|{10} + 5\right), k{max}\right)\$
$E_{R} = E\left(t_{n}\right)\cdot\operatorname{min}\left(|(t_{n} - floor(t_{n}))|{10} + 5,k{max}\right)\$
$t_{n+1} = \operatorname{Trunc}\left(t_{n}-\frac{E\left(t_{n}\right)}{E_{L} - E_{R}}\right)$

[fathom swallow]

DisOneGuy

[foggy meadow]

Cool, it should be something like that, but Idk.

I could be writing garbage myself, but this is pretty fun.

[junior grove]

[
E(t) = \left|\zeta!\left(\tfrac12 + it\right)\right|
]

[
k_n := \max{k \in \mathbb{N} : t_n \in 10^{-k}\mathbb{Z}}
]

[
\delta_n := 10^{-\min(k_n + c,; k_{\max})}, \qquad c \in \mathbb{N}
]

[
E_L := E(t_n + \delta_n), \qquad
E_R := E(t_n - \delta_n)
]

[
t_{n+1}
= \operatorname{Trunc}!\left(
t_n - \frac{E(t_n)}{E_L - E_R}
\right)
]

[fathom swallow]

GrummerPeck

[foggy meadow]

Yeah, but what is k in this case?

Also \delta_{n} already means something in math.

It's better though.

[fathom swallow]

GrummerPeck

[foggy meadow]

click this on your posts once you've posted it.

[junior grove]

That work?

[foggy meadow]

This is a lot better, but still confusing with the \delta_{n} and k_{n} buisness.

decimal bashing like this is a good algo though to use here.

[neat lintel]

lets say you can evaluate on the z=1/2 line, how will you conclude about the zeroes outside of that line?

[foggy meadow]

I don't think this would help with that really.

But it might, decimal bashing is really powerful of an algo.
I used it to help minimize spherical poles in my Katamari in space game.
And it converges very quickly.

[neat lintel]

nice!

[foggy meadow]

Yeah!

[junior grove]

The tool data violently ends anything not at 1/2

[foggy meadow]

Don't do digits(t_{n}) please to god.

Stop the other made more sense.

You're programmering and it makes no sense.

[junior grove]

Okay last try

[
E(t) = \left|\zeta!\left(\tfrac12 + it\right)\right|
]

[
t_n \in 10^{-k_n}\mathbb{Z}
\quad\text{(i.e.\ } t_n \text{ is stored with } k_n \text{ decimals)}
]

[
h_n := 10^{-(k_n + c)}, \qquad c \in \mathbb{N}
]

[
E_L := E(t_n + h_n), \qquad
E_R := E(t_n - h_n)
]

[
t_{n+1}
= \operatorname{Trunc}!\left(
t_n - \frac{E(t_n)}{E_L - E_R}
\right)
]

[foggy meadow]

@junior grove keep this, not the other.

[junior grove]

So the latest is good?

[foggy meadow]

That one was good.

[junior grove]

[
E(t) = \left|\zeta!\left(\tfrac12 + it\right)\right|
]

[
t_n \in 10^{-k_n}\mathbb{Z}
\quad\text{(i.e.\ } t_n \text{ is stored with } k_n \text{ decimals)}
]

[
h_n := 10^{-(k_n + c)}, \qquad c \in \mathbb{N}
]

[
E_L := E(t_n + h_n), \qquad
E_R := E(t_n - h_n)
]

[
t_{n+1}
= \operatorname{Trunc}!\left(
t_n - \frac{E(t_n)}{E_L - E_R}
\right)
]

[foggy meadow]

Not great there's still stuff that makes no sense.

🤦‍♂️

Omg.

[junior grove]

K. I give up on math speak tonight:)

I did give it a valiant effort!

[fathom swallow]

DisOneGuy

[foggy meadow]

Was the best one, but I'd change

[
E(t) = \left| \zeta!\left(\tfrac{1}{2} + it \right) \right|
]

[
k_n := \max{ k \in \mathbb{N} : t_n \in 10^{-k}\mathbb{Z} }
]

[
d_n := 10^{-\min(k_n + c,, k_{\max})}, \qquad c \in \mathbb{N}
]

[
E_L := E(t_n + d_n), \qquad
E_R := E(t_n - d_n)
]

[
t_{n+1}
= \operatorname{Trunc}!\left(
t_n - \frac{E(t_n)}{E_L - E_R}
\right)
]

[fathom swallow]

DisOneGuy

[foggy meadow]

because delta looks too much like the kronecker delta.

the k_{n} is still confusing, but better???

[junior grove]

K, kept your wording and adding info about trunc

[
E(t) = \left| \zeta!\left(\tfrac{1}{2} + it \right) \right|
]

[
k_n := \max{ k \in \mathbb{N} : t_n \in 10^{-k}\mathbb{Z} }
]

[
d_n := 10^{-\min(k_n + c,, k_{\max})}, \qquad c \in \mathbb{N}
]

[
E_L := E(t_n + d_n), \qquad
E_R := E(t_n - d_n)
]

[
t_{n+1}
= \operatorname{Trunc}{k{n+1}}!\left(
t_n - \frac{E(t_n)}{E_L - E_R}
\right),
\quad\text{where $\operatorname{Trunc}_{m}$ truncates to $m$ decimal places (no rounding).}
]

[foggy meadow]

Like k_{n} isn't really defined still.

[fathom swallow]

GrummerPeck

[foggy meadow]

Also t_{n} isn't really defined.

[junior grove]

Killing me smalls

[fathom swallow]

GrummerPeck

[foggy meadow]

[
k_n := \max{ k \in \mathbb{N}, t_n \in \mathbb{R} : \mathbb{Z} \in t_n * 10^{-k} }
]

I'm trying to retreave k.

[foggy meadow]

you also don't need the extra thing for truncate.

[junior grove]

[
k_n := \max{ k \in \mathbb{N}, t_n \in \mathbb{R} : \mathbb{Z} \in t_n * 10^{-k} }
]

[fathom swallow]

GrummerPeck

[foggy meadow]

[
E(t) = \left| \zeta!\left(\tfrac{1}{2} + it \right) \right|
]

[
k_n := \max{ k \in \mathbb{N} : t_n \in 10^{-k}\mathbb{Z} }
]

[
d_n := 10^{-\min(k_n + c,, k_{\max})}, \qquad c \in \mathbb{N}
]

[
E_L := E(t_n + d_n), \qquad
E_R := E(t_n - d_n)
]

[
t_{n+1}
= \operatorname{Trunc}!\left(
t_n - \frac{E(t_n)}{E_L - E_R}
\right)
]

[junior grove]

K is just the count of decimals

Or I'm mathanese

[fathom swallow]

GrummerPeck

[foggy meadow]

That's starting to look like something.

[junior grove]

See, told you, just need a math friend 🙂

[foggy meadow]

The max for k doesn't make much sense, but maybe it does 🤷‍♂️

[junior grove]

Max is mantissa length-1 or a hard set cap for computing

[foggy meadow]

I get it.

and I'm following the algo.

[fathom swallow]

DisOneGuy

[junior grove]

And it works

[foggy meadow]

I think that's the best thing still here.

[foggy meadow]

Yeah it's regression.

but with decimals

Neat.

I don't think this would prove anything.

[junior grove]

🙂

I it proves a linear operator exists

It's a start

[foggy meadow]

How far do you truncate down to?

[foggy meadow]

I feel like it would be better expressed over the p-adics.

But, yeah, decimal bashing should have a place in things.

[junior grove]

If I get a cap I enforce a 2 decimal truncation rule, but 99.9% of the time it's (mantissa/2)-1 till max step size is reached. Computationally I can only handle about 30k decimals with a max step of 10k

Sorry mantissa -1 no division

[foggy meadow]

then add that to the trunc func/

how ever many decimal places you truncate to/

[junior grove]

You just told me I don't need the trunc stuff! 🙂

It would still work with mantissa-1 it just overshoots a hair more at lower decimal mantissa

Mostly in the lehmer pair at 7005 and mostly on the. 06

[foggy meadow]

idk what that means. 😭

[junior grove]

A lehmer pair is a set of zeta zeros that don't conform to normal spacing rules. They are abnormally close together

The first noted and studied pair is at 7005.1 and 7005.06

[foggy meadow]

So, twin prime type stuff?

[junior grove]

https://en.wikipedia.org/wiki/Lehmer_pair

.06 takes a bit to find is invariant slope, if I truncate more aggressively it smooths out much faster

[foggy meadow]

neat

[junior grove]

But it was my understanding no such operator existed that could do this. That's why I was asking in here, because the data I'm seeing is pretty convincing, but it feels a lot like a beautiful mind.

[foggy meadow]

I don't know what the last part means.

But it's cool I guess yeah.

Just something to add to the list of algos I have

[junior grove]

The movie. It's about an insane guy that does math by scribbling formulas on his windows. Some of them are profound, some are just insanity. Pretty neat movie. It's a math movie

About John Nash

[foggy meadow]

Sounds like some of the people I know in here

[foggy meadow]

I mean figuring something out can be like that. I'm glad you found something neat or whatever, cool.

[foggy meadow]

@zealous garden Vector and Geometric Calculus (Geometric Algebra & Calculus) by Alan Macdonald worth it? Or na?

[mystic hill]

discussion-2, rebellion against discussy when?

[turbid sedge]

Fiscussy 2

[zealous garden]

Ehh. It's not bad especially if you don't know multivar or vector calc already. If you are wanting to cover manifolds immediately you might want to skip it though

I'd say VAGC is aimed for engineers, physicists, freshman-sophomores

For a more rigorous UG perspective I recommend Michael Taylor's Geometric Calculus book

[lime iris]

How's my profle

[serene vault]

https://tenor.com/view/fox-gif-24544794

[vapid pier]

https://tenor.com/view/cat-fenec-fox-lick-cat-fenec-fox-lick-gif-12624062

[turbid sedge]

Wolves

[vapid pier]

https://tenor.com/view/nothingusual-arctic-arcticfox-fox-gif-7254896

[ocean harbor]

who is this

[tropic pivot]

this is me.

[placid shadow]

Hey #serious-discussion! If you had to reinvent math, how would you go about it?

[ocean harbor]

no I meant the user

[placid shadow]

Is that you, John Wayne? Is this me?

[tropic pivot]

by deleting discord and or maybe some other things.

[tropic pivot]

Chong Wang.

[small stratus]

wouldnt it be difficult to almost impossible to recreate maths alone?

[tropic pivot]

is that reference to Jackie Chan movie?

[placid shadow]

Of course, but what are the first steps you might take?

[placid shadow]

No, Full Metal Jacket.

I love Jackie Chan

[ocean harbor]

https://tenor.com/view/jackie-chan-dragons-forever-pumped-up-lets-go-ready-to-fight-gif-24505947

[tropic pivot]

his name was Chong Wang aka John Wayne.

in one movie.

[placid shadow]

Oh cool!

[small stratus]

hmmm ig i would like to intervene a little bit here and there in topics which took years to prove and the mathematicians who suggested it were casted out of society like lunatics until their theories were proven correct

[placid shadow]

Interesting. I was thinking more of a foundational approach to begin with, like maybe if humanities knowledge was erased in-terms of everything that we know in math today.

[small stratus]

like every veratasium video i saw has one or more of these mathematicians/physicists who suggested ideas radical for their time and were then deemed as lunatics

[placid shadow]

Right

i love his videos

[old oak]

Which mathematicians? Other than Cantor none spring to mind

[small stratus]

there was one physicist who introduced least action

[old oak]

Sure, but I was asking mathematicians specifically

[small stratus]

the person who came up with complex numbers was also ridiculed a lot until Schrödinger came out with his equations

[old oak]

I don't think that's right

Complex numbers were widely used well before Schrodinger

[placid shadow]

I think any system of thought requires reason to be good. It's unreasonable to label a tree some complex series of letters to refer to it all the time, as in instead of labeling it in English as "tree" you'd label it something really complicated and long.

[small stratus]

oh maybe i remember it wrong watched it a while ago

[small stratus]

but wasnt there a divide in mathematical community considering wether its something made up or something that hold actual merit?

[old oak]

There was, but not to the extent of people being decried as lunatics; it was more an argument over whether these numbers represent anything meaningful, or whether thay're just a useful fiction

And inded they are just a useful fiction, the same as all other kinds of numbers.

[placid shadow]

I believe utility is a great factor in determining what math should be made in the event that humanities math knowledge ceases to exist. You won't just create something random, there has to be a purpose like calculating distances between objects and tracking things.

[peak warren]

no, long before euler, the complex numbers were already studied without prejudice

[small stratus]

oh mb then

[old oak]

The only case I can think of where a mathematician genuinely got ridiculed and harassed for their claims, is Cantor

[small stratus]

true, isnt there still a debate going on about imaginary numbers?

[old oak]

Not among serious people

[glass solar]

ay I got a career question. I'm about to finish my math BS, didn't get an internship because I instead pursued a research opportunity that didn't pan out. I want a Master's in something and I intend to get an internship. Would a CS MS be a bad option if I got an internship?

[peak warren]

elegancy has been a greater factor for more than half a century, and it overshadowed non-elengancy-oriented utility in pure math

[small stratus]

oh, ig i have forgotten a lot about those vids, well ig i can rewatch them like i am watching it for the first time

[placid shadow]

Either way, that's after millennia of pre-existing math knowledge.

You can use math terminology to refer to things and create mathematical statements, such as distance between two objects in the real world being 3 meters apart from each other. This has excellent utility and it is exact.

Can you create a perfectly geometrical sphere in real life? One that is smoother than any physics length that we can use?

[old oak]

No, which is a shame because the Banach-Tarski theorem would solve a lot of scarcity issues

[placid shadow]

🤭

[placid shadow]

Is it safe to call Euclidean geometry only theoretical with real life applications?

[old oak]

That's all of mathematics

Mathematics studies abstract objects which are often very useful for modeling real-life phenomena

[placid shadow]

Yeah

[vast wraith]

this question has a long and interesting history… for a long time euclidean geometry was thought to be the geometry of physical space, so geometry and physics were often taken to be about the same thing, namely, nature, both being considered just “natural science.” there’s a whole bunch of things that happen in geometry and logic with the foundations of mathematics and the discovery of non-euclidean geometries throughout the 19th century, bu it is really only with poincare around 1900 that the idea that physical space need not be euclidean establishes itself, and is taken up by einstein

[placid shadow]

I really appreciate this intricate thoughtful answer! 🩷

[old oak]

Which is weird because we live on a sphere (more or less), and spherical geometry isn't very Euclidean

[cold needle]

at least it is locally

[vast wraith]

i mean, yeah, but the earth’s spherical geometry was understood in terms of the euclidean geometry of the space around it

[old oak]

Fair

[placid shadow]

Hehe this feels to me similar to how we call Abstract Algebra just Algebra but it gets mixed with normal algebra in high school

@cold needle I sent you songs in DM but don't listen to them if you don't like loud stuff because this is so damn draining. Though the Empath song I feel is really artistic.

[old oak]

I mean, normal algebra is also abstract, since both numbers and variables are abstractions with no direct physical existence

[placid shadow]

Exactly!!!!!

If there's any lesson, it's that mathematicians don't know how to name stuff.

[placid shadow]

Actually these songs suck I really don't recommend them, it was an alter of mine that did.

I hate metal.

Metal songs shouldn't exist.

They just hurt the ears

[foggy meadow]

I'm just seeing books to buy and which ones are best to.

[foggy meadow]

I got the springer book I was wanting, so I'm probably good for a while.

[compact mesa]

Hehe I like to say math is the art of abstraction 😌✨
(Identifying different things as the same via their common proprieties)

[timid bronze]

@velvet dagger Could you pls dumb down group theory down for me in a couple of sentences

[latent edge]

Read lang or D&F

[timid bronze]

Idk what that abbreviation stands for

I just want a simple definition anyway

[latent edge]

You can just look it up

Unless you want more than this

[cold needle]

hello

[latent edge]

In which case I'm happy to yap

[timid bronze]

You can talk about it too

[cold needle]

Groups act on things and this is why they are important. What i mean by this is that objects have symmetries and we capture these using groups or group actions

For example a square has some symmetries

what is it called?

rigid motions

i forgot

You can rotate the square 90 degrees or 180 or 270 or 360 (same as doing nothing)

ccw i mea

you can also do cw

Reflection across axes also

certain ones of course

you want the square to land on itself after u do one of these moves

But the group that manifests this is the dihedral group

so u can study the symmetries of the square by studying this group

Or the other way around

you can learn about the group by looking at what it acts on

the dihedral group can act on other things too probably

square is natural choice but you can do octagon or other weird things too

idk

uhh i feel like not so compelling

im trying really hard not to hard pivot into rep theory

[vast wraith]

yeah hosohedra for example

[latent edge]

Peak

[vast wraith]

this is the 6-gonal hosohedron, which has the same symmetries as a hexagon

[hollow ginkgo]

Are you sure about that?

[vast wraith]

yes

[latent edge]

Maybe relate Galois groups with chemistry

I mean group theory

[hollow ginkgo]

Because I’m pretty sure it has twice as many

[vast wraith]

depends on whether you count reflections or not

[velvet dagger]

So, when we talk about algebraic operations on numbers, eg addition, you are taking two inputs and getting one output, and you have a bunch of properties it satisfies

The subject of abstract algebra says hmm, we can take anything where you start with two inputs, spit out one output, and satisfy some nice properties, and somehow try to study that in an algebraic way.

Some obvious candidates are gonna be adding and multiplying numbers, matrices, functions

But what about if we compose functions? We have f and g and get f(g(x)), and it turns out to share some properties with multiplication.

And it turns out studying composition of functions in this way tells you a ton.

[timid bronze]

That’s what I want to do so I thought of asking Dami for a dumbed down explanation of group theory

[hollow ginkgo]

There are two vertices, each with hexagonal symmetry as the stabilizer

[timid bronze]

One sec, in the store rn and I want to try to grasp this as best as I can with my limited pea sized knowledge so I’ll ask some questions

[hollow nymph]

hey guys im in a year 8 and i have a exam soon and its about midpoint anytips to get a high grade??

[latent edge]

I figured out some stuff from my sis since she's studying chem too

I really hate how chemists do symmetry

Okay I'm assuming you guys have done point groups

Take benzene for example

If you look from above you can see that we can rotate this guy 360/6 degrees each time right

For this axis you use C_6 to denote the symmetry from this axis and this matches the math one too

But then the question is, is this the whole thing?

Well no you have more than just C_6

From the picture you can see that we have 6 C2 axes. There's also a horizontal mirror plane and an inversion center

But now the problem and really where was my confusion is all of these symmetries give you D6h for the benzene which reminds me of D_6 from the math version

But they are not quite the same

Anyways if you ignore the point groups and think of the benzene purely as a hexagon then we have use two moves to get the full symmetry of this guy. You want r which is a 60 degree rotation and s which is a reflection

You want to fix an axis and do s

Then you can piece out these 2 moves and see how many different symmetries you get overall

Notice that if you do r 6 times then you land back to the identity so we write r^6= id

Then you also have s^2=id because if you reflect twice it's the same as doing nothing

There's one more non obvious relationship which is that if you relfect then rotate then reflect again it's the same as rotating the other direction. You write it like srs = r^(-1)

From these relationships you can write down the elements and you get id,r,r^2,r^3,r^4,r^5,s,sr,sr^2,sr^3,sr^4,sr^5

That's exactly 12 elements

Btw I encourage you to draw a hexagon cut it out and number the vertices and play around with it

[timid bronze]

So GT explains the properties an operation satisfiess? Does that mean you’re looking at the "overall result" when you combine things (without worrying about how you got there)?

[zealous garden]

What springer?

[foggy meadow]

https://link.springer.com/book/10.1007/978-3-319-53043-7

I started reading it and it taught me a lot. Even stuff I saw in LQFT intro books, which I didn't recognize as such until after reading it.

[clever rapids]

what can you build with it?

[foggy meadow]

I mean cellular automata have a wide number of applications. But for example fluids, dynamics of trees burning, populations are all simulatable with it. Even some basic magnetism and several different finite models are that deal with fields are just statistical CA.

[clever rapids]

nice

[velvet dagger]

The basic definition yes. It just says hmm, take any set and an operation (which I'll call multiplication) on that set which satisfies a few priorities. Let's try to study all of them kinda in the same breath

Usually in examples, you combine the general stuff of group theory with knowing that example. And you try to understand how different examples play with each other

[latent edge]

The idea of starting with a couple of things and put some axioms and play around with structure is moer or less what algebra is about

GT is one way to do this

If your stucture happens to satisfy the group axioms then congratulations you are working with a group now so any general theorem about groups applies

[velvet dagger]

So maybe you can think about a function f and then apply it repeatedly, considering f(x), f(f(x)), and so on

So you can think about it as numbers "acting through this function", so you can combine these two aspects of the situation and get more info, using groups

[foggy meadow]

Also here's a fractal dealing with quad-trees some more, which looks cool. It's made with a\left|z\right|+c and the Julia set makes these circles that divide off into 2's. While the Mandelbrot set sort of looks like a Euclid's Garden.

[empty stratus]

Oooh...

[foggy meadow]

?

[empty stratus]

It's pretty.

[foggy meadow]

Yeah, the absolute function is the most simple function I could find that makes fractals. And It happens to talk about my favorite fractal, which was ironic. I don't have a use for it though.

The realization of it being related to Euclid's Garden is recent. And it makes me wonder about it's use for me as a function for calculating that but in n-dimensions easily.

If it is actually Euclid's Garden then it would be immediately useful for me.

[foggy meadow]

It looks like an inverted orchard weirdly. But this is just the iteration values.

This shape and it's circles get warped under powers into mandelbrot like structures. It's interesting.

[timid bronze]

Are these priorities what Deltoid describes

[foggy meadow]

Also, last post this is what the powers start to look like as it limits towards 1.

They remind me of these.

Idk the relation if any.

[timid bronze]

Are the group axioms what Dami was referring to earlier when he said "Some obvious candidates are gonna be adding and multiplying numbers, matrices, functions"

[sonic sentinel]

i do not think we as a society give "middle ground is for people who think they're enlightened" thinking remotely the hate it deserves

[timid bronze]

There are people who think they're superior for finding a middle ground?

[sonic sentinel]

sure there are

[brave flare]

those are the operations that can fulfill group axioms

addition fulfills properties, it is not a property

[timid bronze]

That's peculiar to me because afaik I haven't had an interaction with anyone who embodied that

Huh, weird

[sonic sentinel]

"yeah its necessary for me to drive polarization by making assumptions about other people's personality... why... well of a little something called 'the middle ground fallacy', im sure you can look it up"

[timid bronze]

Ohh I see

[sonic sentinel]

my dad actually uses "the truth probably lies somewhere in the middle" reasoning a lot, its almost certainly rationalization for stuff he already believes

[timid bronze]

I've definitely had interactions where they assumed a compromise was always best (but not with someone who felt superior)

[sonic sentinel]

i don't like the use of the word "compromise" even lol

[timid bronze]

This can suck. The middle option isn’t always the best answer 😭

[sonic sentinel]

it suggests there's some virtue to believing things based off of something else than a best attempt to figure out what the world looks like

[timid bronze]

I get what you mean about compromise giving the impression that settling is better than figuring out what’s true. But I’d say compromise can be meaningful when no one has all the answers and people need each other to get through life. The issue comes when compromise becomes the default, chosen not because it actually reflects the best understanding, but because it sounds like the "right" or polite choice

If we accept that no one fully knows the world though, doesn’t some middle ground make sense as a practical approach, rather than as a moral obligation?

[torpid bay]

suppsoe I buy a pizza, and then someone takes it, we clash. And then a third person comes along suggesting to comproimse. The middle ground is I get half my pizza back and the thief gets half. Always blindly going for the middle ground can sometimes reward the bad actors

[sonic sentinel]

true. But I’d say compromise can be meaningful when no one has all the answers and people need each other to get through life.
You might or might not be conflating some things here. I'll try to clarify my position. I don't take any issue with the act of compromising itself. There are good and bad ways to go about compromising. I have an issue with the "compromise" being used to describe a sort of reasoning (or more accurately, to mask a lack of reasoning).
If we accept that no one fully knows the world though, doesn’t some middle ground make sense as a practical approach, rather than as a moral obligation?
I think it's a heuristic with surprisingly little use.

[torpid bay]

a good example of why a blind middle ground approach is bad is to look at Jubilee

[sonic sentinel]

I think you can develop some intuition for which areas are more likely to have a middle ground as more accurate, e.g. it is frequent for two enemy countries to allege false things about the other. but like "if there are multiple extreme positions, the answer is in the middle" is a terrible general heuristic

funnily enough, this convo started with me making fun of people who misuse the middle ground fallacy esque reasoning and ended up with me trying to affirm the middle ground fallacy as a fallacy

[torpid bay]

sometimes compromise is bad and its better to stick to your guns, and sometimes, in genuinity compromise can work. Mixed bag, especially when considering the intentions of the other person

[foggy meadow]

I now realize these fractals are made by overlapping circles. like taking a wood board and drilling circular holes in it. Then putting another board under it with smaller circles drilled. And the only way to see them is by looking through the big circle. So, the fractal is just made up of circles in circles. And not all combinations of those circles will be visible by looking through the bigger circle.

I sort of wonder now if all of these fractals can be made by this method.

[latent edge]

Have you seen matrices?

[ocean harbor]

holy moly

thats so pretty

[timid bronze]

Yes

[latent edge]

For invertible matrices what properties do you know for matrix multiplication?

[timid bronze]

If X and Y are invertible then their product is also invertible is all I knoww

[timid bronze]

I'll reply to this tmrw btw

Social battery kind of worn out from thoughtful convos atm 😭 hope you don't mind

Won't be able to give a sufficient reply

[latent edge]

Right yeah

Can you do (AB)C = A(BC)?

[timid bronze]

I don't know this one

[latent edge]

It is true yes

Then since we are working with invertible matrices you can always find an A^(-1) that cancels A to get I correct?

[timid bronze]

What does I represent here again

[latent edge]

identity matrix

[timid bronze]

Yes

[latent edge]

alright that's it

[timid bronze]

"Ts pmo you are too slow"

[latent edge]

Invertible matrices are closed (meaning any two invertible matrices when multiplied give you another invertible one), associative, have identity and for every element there is an inverse

[latent edge]

-chipotle or something idk

Yeah so these are all the properties for a group

I like invertible matrices because they don't go super crazy with properties and also are an easy example to understand

The integers with addition is also a group but this is a bad example mainly because it has many other properties

[junior turtle]

people usually give Z as a first example of groups
Deltoid gives GL_n as a first example of groups

[timid bronze]

I see

[latent edge]

You won't get people being like "okay but how do you know we dont need abelian in this context?"

[junior turtle]

real

[latent edge]

Or "why these properties exactly?"

[hexed tangle]

nD has a point

[junior turtle]

this applies especially if you give Z as the first example of a ring

[latent edge]

I mean you don't get that many students asking these deep questions but it's not impossible

[raw cedar]

what relation do you have with nGroupoid

[junior turtle]

wow so a ring is PID, UFD, ED and all that?

[latent edge]

He's my advisor

[junior turtle]

"nD"

[hexed tangle]

https://cdn.discordapp.com/attachments/812919690321461312/1305365342696112169/caption.gif

[junior turtle]

i see that this spread well huh

[timid bronze]

This chat was peaceful till you came ...

[hexed tangle]

I Bring chaos

[junior turtle]

@latent edge this is high quality work fr

[hexed tangle]

Entropy increases

[timid bronze]

Wbk.

[hexed tangle]

What should I call you deltoid just that or nD

[timid bronze]

Doesn't mean the reaction is spontaneous though!

Sometimes you bring nothing to the table..

Jkjk

[hexed tangle]

https://tenor.com/view/riddler-paul-dano-new-rockstars-does-he-know-gif-26833694

[latent edge]

Achilleus brings aura to the table

[raw cedar]

i don't think it deserves hate, but i dont think it deserves love either. how about we take the middle ground and feel indifferent about it

[timid bronze]

nD looks like xD

northDakota as well

[raw cedar]

ninja darwin

nocturnal dog

[hexed tangle]

my man

[jaunty ibex]

Seriously? That's crazy

[timid bronze]

🥀 🥀 🥀

[latent edge]

No lol

[junior turtle]

ofc seriously

[hexed tangle]

Deltoid is better

[raw cedar]

GUYS

[timid bronze]

Not better than me

[raw cedar]

whats a special orthogonal group

i forgor

[hexed tangle]

Deltoid is like one my favorite person in mathcord

[raw cedar]

forget that

[timid bronze]

You are my least favorite

higher! is my favorite

[raw cedar]

im going to see monkeys soon

[junior turtle]

its SO(n) fr

[raw cedar]

on the local mountain

[jaunty ibex]

I don't like deltoid

[hexed tangle]

Keep that to yourself

[timid bronze]

@fresh comet I wuv you

[latent edge]

it's rotation but det 1

[hexed tangle]

nice

[raw cedar]

i do not think that you are giving my monkey expedition sufficient respect.

[timid bronze]

Oh ok.

Kk

👍

[latent edge]

Cohomology.

[raw cedar]

CHAT IM GOING TO SEE WILD MONKEYS

[timid bronze]

Dat santa hat on za kitty needs to go

It's no longer Zrismas

[latent edge]

it's cute

real

[junior turtle]

de Rham cohomology, singular cohomology, simplicial cohomology, cellular cohomology, prismatic cohomology, primitive cohomology, Habiro cohomology, Hodge cohomology, lie group cohomology, group cohomology, lie algebra cohomology, sheaf cohomology, intersection cohomology, étale cohomology, L2 cohomology, adelic cohomology, algebraic de Rham cohomology, absolute prismatic cohomology, Galois cohomology, crystalline cohomology, Cech cohomology, Deligne cohomology, Morse cohomology, Floer cohomology, Bott-Chern cohomology, motivic cohomology, flat cohomology, absolute Hodge cohomology, rigid-analytic de Rham cohomology, Hochschild cohomology, cyclic cohomology, André-Quillen cohomology, Harrison cohomology, periodic cyclic cohomology, Nisnevich cohomology, Chow cohomology, syntomic cohomology, Hyodo-Kato cohomology, log crystalline cohomology, rigid cohomology, Monsky-Washnitzer cohomology, Basic cohomology, Equivariant cohomology, Aeppli cohomology, Dolbeault cohomology

[timid bronze]

The amt of my friends who msged me "Merry Christmas" when I'm the most nonreligious person ever 😭

[latent edge]

wtf is aeppli cohomology

[latent edge]

real

[hexed tangle]

I haven't seen any number theorists in discussion

[latent edge]

I got pinged in discussy 1 when I removed it from my channel list

[junior turtle]

maybe because discussion is low quality

[latent edge]

Annoying af channel

[foggy meadow]

loool

[timid bronze]

This CANNOT into a NT talk. Keep it pure.

[latent edge]

It is most of the time

[timid bronze]

I cannot contribute..

[latent edge]

Pure motives?

[fresh comet]

https://tenor.com/view/melt-hatsune-miku-cute-i-love-you-shy-gif-14954417943314832298

[round abyss]

512th root of 1

[timid bronze]

That channel pisses me off so much

[hexed tangle]

$$
H_A^{p,q}(X)
= \frac{\ker(\partial\bar{\partial} : \Omega^{p,q} \to \Omega^{p+1,q+1})}
{\operatorname{im}(\partial : \Omega^{p-1,q} \to \Omega^{p,q})

• \operatorname{im}(\bar{\partial} : \Omega^{p,q-1} \to \Omega^{p,q})}
  $$

[fathom swallow]

Achilleus

[timid bronze]

But that's where a lot of the cool ones talk

💔

[latent edge]

so helpful thanks

[hexed tangle]

LMFAO

[timid bronze]

[junior turtle]

i was faster than you with the reaction

[hexed tangle]

Aeppli cohomology measures how badly a complex manifold fails to be Kähler

[latent edge]

I got dethroned

[latent edge]

Okay if this is true then that makes sense

tfw DG strikes again

[fresh comet]

ah my bad

I just saw it as the polite thing to do, despite not being religious myself

[foggy meadow]

cotopologies.

[timid bronze]

Noooo this wasn't towards anyone in specific 😭

You're not wrong in doing so

But there's not much to say

You kinda get put in an awk spot

[latent edge]

That's exactly the reason I message all of my friends with "merry cohomology" when they sent me this

[timid bronze]

A friend pinged me saying "MERRY EIDMAS"

[latent edge]

okay that's cursed

[foggy meadow]

yep

idk the meaning

[fresh comet]

it's a bit awkward for me too

[timid bronze]

Eid Al-Fitr and Eid Al-Adha are two religious holidays celebrated in Islam (I'm not Muslim but my family is)

[latent edge]

Eidmas is referencing

nvm

ally said it

[timid bronze]

https://tenor.com/view/sloth-gif-10884288518303452253

[latent edge]

real

[timid bronze]

Merry higher! birthday

[hexed tangle]

Oh god my aura made this chat so chaotic

[latent edge]

fr

[timid bronze]

I feel like having your birthday on a holiday is so awkward

[timid bronze]

It did not lil bro 🥀

[fresh comet]

[fresh comet]

@serene vault's birthday is on Christmas

[timid bronze]

I want to be the center of attention on my birthday 💔

[timid bronze]

Happy late birthday

[round abyss]

one of my muslim friends has his birthday on xmas, so it kinda works out

[timid bronze]

Unless Eid is ever suddenly on Christmas day...

Apparently that happened in 2017

[round abyss]

yeah it would be again at some point right

[junior turtle]

i didnt it even tho i am muslim

[round abyss]

i think ramadan is near christmas again this 2026

2027 i should say. ramadan is like feb now i think

[timid bronze]

It begins mid Feb I think

[hexed tangle]

https://tenor.com/view/red-aura-shanks-gif-15239642149115408408

[junior turtle]

one piece enters the chat

[junior turtle]

you are right depending on what you mean by near

[hexed tangle]

I have never seen one piece

Just searched aura in gifs

[junior turtle]

yea shanks is aura so its natural for this to appear

https://tenor.com/view/one-piece-one-piece-anime-one-piece-animated-gifs-one-piece-red-haired-shanks-vs-eustass-captain-kidd-one-piece-whanks-gif-13460121518981160116

[round abyss]

one piece when two piece walks in

[junior turtle]

see?

[junior turtle]

one peak

[round abyss]

one peak two peak red peak blue peak

[latent edge]

jojo reference

[timid bronze]

@deep mango

Wakey..

[deep mango]

Holy crap lois

[latent edge]

it's going to end soon

[timid bronze]

WHAT DID I DO

I'm just waiting for Uno..

[deep mango]

youve been bugging me for 12 hours

[latent edge]

@junior turtle I dropped steins and started watching berserk. Done with season 1 already

[timid bronze]

I pinged you like thrice in those 12 hours 😭

[junior turtle]

oda: one piece will end soon
meanwhile one piece is still running after 10 years from this claim

[timid bronze]

I asked at like 10 AM if we could play tn then asked if you could at 6 PM 💔

[junior turtle]

did you not like steisn gate?

[latent edge]

No

wilted rose

[junior turtle]

why tho

[latent edge]

might come back later

I think the thing ruined it is exams

[latent edge]

I watched it during exams so when I watch it I get reminded of how bad that semester was

[junior turtle]

must be the case

[jagged forge]

“one piece will end 5 years from now”
-oda 10 years ago

[latent edge]

lmfao

[timid bronze]

suremark is now 37
-unc 10 years from now

[hexed tangle]

I don't even wanna start one piece, it wouldn't end till my kids graduate

[jagged forge]

one piece will still probably be going then…

[junior turtle]

and i highly doubt that it will end in less than 10 years from now

[timid bronze]

It's ok, I'll give you 🍺 and 🧀 so you can enjoy it

[latent edge]

It will never end. Oda will let someone cook if they pass away

[jagged forge]

thanks

[timid bronze]

What an attitude..

[junior turtle]

achilleus are you an AoT fan?

[jagged forge]

ur welcome

[hexed tangle]

Yes

[junior turtle]

[timid bronze]

Be friendly like your cousin amukh

[hexed tangle]

I also had an eren pfp lol

[jagged forge]

i used to assume achilleus was 15 cuz all he did was post AoT gifs

[timid bronze]

LMFAO

[junior turtle]

ofc i didnt know from one of your previous pfps

[hexed tangle]

BRO

[junior turtle]

lmao i was writing that

[hexed tangle]

That was like 5 months ago

[timid bronze]

I'm searching for this shit

[jagged forge]

achilleus in my mind was just the eren gif person

[hexed tangle]

Well not anymore

I help with advanced channels now

[timid bronze]

Ok wait I regret searching

[junior turtle]

whats his real age tho

[hexed tangle]

I'm 24

[junior turtle]

:chad:

[hexed tangle]

NO WHY

[timid bronze]

IT'S NOT WHAT YOU THINK

[junior turtle]

the goat

[timid bronze]

IT'S BC YOU POST SM COOKIES PICS

[hexed tangle]

What then

[timid bronze]

IT'S making me jealous

[hexed tangle]

Oh my gf made those

[timid bronze]

OO she knows how to bake

[timid bronze]

You're the brownian motion person

[junior turtle]

btw achilleus if you want a nice anime then watch steins gate if you havent watched it yet

[hexed tangle]

I'll try to watch that when I get time

[jagged forge]

omg i love steins gate

[hexed tangle]

I'm so tired I can't even type

[timid bronze]

Go to sleep then bru

[junior turtle]

you should because otherwise there would be a problem

[junior turtle]

just leave it as an exercise to the reader to get your point

[raw cedar]

i agree

[jagged forge]

man there are like a bajillion of those aren’t there

[timid bronze]

Do you self react to your msgs on other platforms too

[junior turtle]

isnt this the only platform where one can self react

[raw cedar]

yea

[junior turtle]

wait no there is also whatsapp, well this one doesnt count fr

[timid bronze]

You can self react on iPhone text messages

Can you not