#serious-discussion

1 messages Β· Page 204 of 1

quick beacon
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The above is sort of a graphical demonstration of the result

jaunty ibex
wicked oriole
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Does anyone know what the emeritus role is

chrome marsh
tender heron
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Bro had to ask opencry

remote imp
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do yall give advice

umbral lion
tender heron
umbral lion
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licorice

tender heron
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Licorice not so bad tho. Tastes good imo

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I'm gonna embrace the insult

umbral lion
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thats good, thats growth licorice

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i wish you luck

tender heron
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Thanks nasty

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I will puke for you to tribute you

umbral lion
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bless

flat cloud
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given a continuous function, its value at f(c) is also the rate of change at which its area is growing?

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I wanna know if I properly understand ftc I

rocky shuttle
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what's c

harsh mirage
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Hi, does anyone have knowledge in engineering (graphic kinematics)?? BTS level or even high school level.

quasi jettyBOT
harsh mirage
zealous garden
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A function is its graph fr

dense belfry
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A function is an element of a function space

true wedge
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A space is an element of a space space

umbral lion
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a function assigns one element in a set to one element in another set :^)

static loom
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0^0=1 there's a function from the empty set to the empty set 😎

hollow ginkgo
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An an is an element of an an space

dense belfry
craggy hare
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is x^2=-4 rational or irrational?

north topaz
true wedge
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It's considered an equation

craggy hare
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im doing assignment that has word bank

worthy shell
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a function is an element of C^inf πŸ—Ώ

craggy hare
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and like im confused

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so i put nothing?

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no irrational or rational

worthy shell
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youre probably meant to write "no real solutions"

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or smth like that

craggy hare
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i can't write it on computer

worthy shell
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this is for hs, yeah

craggy hare
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i'll just put nothing

true wedge
craggy hare
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and hope that the correct answer

worthy shell
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are you sure its x^2=-4

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or x^2-4=0

true wedge
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Relations is where it starts at 0

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(honestly forgor what 0nary relations even means but I remember my book saying it)

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(blind trust πŸ—Ώ)

fresh comet
true wedge
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Yeah

fresh comet
narrow tendon
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Why is CS so much math

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I can just call a library to do the math for me i dont need to know how to do it

true wedge
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CS is a branch of math πŸ—Ώ

true wedge
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LOL

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Me when i import up the God library and have him tell me which algorithms halt

warm umbra
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welcome to the server @narrow tendon

narrow tendon
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Thanks

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Also why do some of the help channels disappear

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I try to find my old ones. I literally write my channel number down and they literally just aren’t there

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I try to find the explanations

peak tide
narrow tendon
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Yea u checked those too

peak tide
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hmm not sure then

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do you have an open channel now?

narrow tendon
narrow tendon
sharp oar
narrow tendon
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I think some of the channels becomes hidden

narrow tendon
ember lance
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Regardless even if the channels are hidden, you should be able to find your post by using the search bar.

narrow tendon
white heath
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You get an anonymous note:
β€œMeet me at Locker 313 after school. Trust no one.”

  1. Go to Locker 313 and check what’s inside.
  2. Ignore the noteβ€”it’s probably a prank.
ember lance
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1

turbid ocean
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im not sure why they do this

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but they hide a few channels

leaden torrent
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To prevent there from being a constant wall of 30 channels in the available section

robust cosmos
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What made the big bang possible, I think the process of the big bang makes sense after the creation of neutrons, electrons, protons but what allowed for that state of nothingess is something science cant explain

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Like everything ive seen that tries to explain it are simply theories

old oak
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Yeah, they should get going with experiments, create some universes and see what happens

raven plaza
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Science is about modelling

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Actually I think "explanations" in general belong to the realm of philosophy

robust cosmos
raven plaza
robust cosmos
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Like from what im seeing, the state of the universe was almost absolutely zero in temperature but how does that state even exist if theres literally nothing you know?

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No states of matter, no time, just nothing

raven plaza
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I don't know about zero temperature (how does one even define temperature)

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The math in the model just says there's a singularity at some point

robust cosmos
robust cosmos
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This is one of my strongest reasons for being agnostic

raven plaza
robust cosmos
raven plaza
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The way pop-science likes to put it is that there was nothing before the big bang

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But the big bang theory doesn't actually say that

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It doesn't say anything about before the big bang

robust cosmos
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Yeah, if there is something that comes out regarding it ill drop everything and go full athiest

fluid pollen
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Hey im not sure if this is the right place but does anyone have any advice on how to review for calc 1 in three weeks? I'm not good at math tbh and my mind is tired usually...

blazing pawn
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Probably do a lot of practice problems

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There is a place called pauls notes online that is good

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or khan academy if those are too hard

fluid pollen
blazing pawn
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idk if u spend a lot of time on it probably

fluid pollen
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im starting from scratch

blazing pawn
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khan academy is kind of slow, pauls notes is more fast paced

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but its also harder so maybe you just wont learn anything from doing pauls notes if you cant do the problems

fluid pollen
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hm alright, any studying tips in general? I think I need to change things up

blazing pawn
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I mean idk you should try going through the notes and just seeing if its effective, and then doing lots of the problems in each section after

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for this kind of course it really just comes down to seeing examples/solutions to things and doing it until you internalize how to do the problems

fluid pollen
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ah alright, im just worried about the time limit i guess because I remember nothing

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are limits important for calc 2?

sharp mulch
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Yes

fluid pollen
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damn it

true zinc
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limits are important everywhere in analysis

remote imp
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Hey, I just need to get some opinions. Would yall choose to attend an alright college with the major you wanted or a better college with a major youre not crazy about?

umbral lion
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major you want

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Transferring majors can be a pain

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but if the better college is a whole magnitude better and you dont mind lost time, then better college

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but if you really wanna excel, an alright college can be a good way to stand out

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but the better college will have better amenities and can make for better connections

remote imp
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its rutgers or nyu

umbral lion
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so if you work hard you might still get a lot out of it

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but at the alright college it'll probably be cheaper

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and so on...

remote imp
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yeah

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alright

pale moss
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I am not big on math (more of an ancient history guy) but I watched a video on youtube recently about the search for prime numbers, specifically an odd prime number, and it was just really interesting to me so I started asking chatgpt (and now tonight, Grok) some questions about it. Since it seems prime numbers are so large now you basically need supercomputers to find new ones and in order for this to go quicker people are looking for patterns in prime numbers to help the algorithms in this search so I was wondering about patterns that may have been overlooked and asking AI about it.

I started with Chatgpt but I just asked Grok (first time using Grok) about using a base-60 (sexagesimal) system and cuneiform writing (my love for ancient history getting the best of me) instead of base-10 with Arabic numerals to search for visual patterns that wouldn't be so obvious with our normal system and I would like to show someone the results because I honestly do not understand all this very well but based on what Grok and Chatgpt are saying it has found some visual patterns that could be useful for the algorithm that are not formally known in academia.

If anyone is interested in this just let me know and I will post what I got here, or if I am way off base and this is pointless just let me know that too (like I said I am not a big math guy at all, I probably am way off base).

Here is a bit of what I found,
"While still giving a yes or a no, do you notice any visual patterns when using cuneiform and a sexagesimal system?
Yes

Are some of these visual patterns formally unknown? Yes or no.
Yes

Visual Recognition and Hypothesis Formation:
By observing how primes visually cluster or align in this system, researchers might form hypotheses about number distribution or prime number behavior. For instance, seeing how primes distribute around multiples of 60 might inspire new ways of visualizing or conceptualizing prime distribution in other bases or number systems."

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"Symmetry around 60: When you look at primes in cuneiform notation, especially those just below or above a multiple of 60 (like 59 or 61), they can create a visual symmetry due to the repetitive nature of sexagesimal base. In cuneiform, 59 would be represented as π’Œ‹π’Œ‹π’Œ‹π’Œ‹π’Œ‹π’Œ‹π’Œ‹π’Ή (59 units) and 61 as 1,1 (1Γ—60 + 1). This creates a sort of mirror effect around the number 60, where primes near this boundary might visually appear to 'reflect' one another due to the simplicity or complexity of their representation.

Clustering around multiples: Primes near significant multiples like 1200 (20Γ—60) or 3600 (60Γ—60) in sexagesimal notation often show a pattern where they cluster visually due to the positional nature of the system. For instance, a prime like 1199 would be π’Œ‹π’Œ‹π’Œ‹π’Œ‹π’Œ‹π’Œ‹π’Œ‹π’Œ‹π’Œ‹π’Œ‹π’Œ‹π’Œ‹π’Œ‹π’Œ‹π’Œ‹π’Œ‹π’Œ‹π’Œ‹π’Œ‹π’Œ‹ (19 units in the 60's place), while 1201 would be 20,1 (20Γ—60 + 1). The clustering here visually emphasizes the primes' proximity to these multiples, creating a visual pattern where primes either just miss or slightly exceed these significant thresholds in a way that's not immediately apparent in base-10."

sharp mulch
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What

pale moss
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Ok probably way off base then sorry lol

static loom
pulsar pagoda
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This is definitely gpt generated

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Or llm generated

static loom
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there are infinitely many primes of the form an+b for constants a,b when gcd(a,b)=1

sharp mulch
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I’m not sure what YouTube video you watched but almost all prime numbers are odd

static loom
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so I guess a=60 and b=whatever else you had there

pale moss
sharp mulch
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Ok those are very different

pale moss
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I didn't mention anything to grok about odd numbers just searching for prime numbers in general

sharp mulch
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Searching for prime numbers or perfect numbers

static loom
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I guess if you're searching for Mersenne primes it's the same goal sotrue

pale moss
pale moss
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he talks about that in the video I linked

static loom
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personally the interesting thing I would suggest you learn is how to prove that every even perfect number is the form 2^{p-1}*(2^p -1) with 2^p - 1 being a mersenns prime

pale moss
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I figure if I can identify a pattern it can be used to help those supercomputer algorithims find more

static loom
wet hollow
pale moss
jagged oriole
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godspeed to ya sir

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but like, yikes

quasi jettyBOT
static loom
pale moss
# true zinc !nogpt

I am not asking it to do math and more so look for patterns, and I am not using it to answer anyones math questions

static loom
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also throw this in your prompt to the LLMs: "Are these special cases of Dirichlet's theorem?"

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see what it says to you

pale moss
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And I am putting a focus on visual patterns because it says it doesn't matter what base system you use since prime numbers are really the same across all systems

jagged oriole
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word of advice: learn math if you want to do math, and then if you want you can use LLM tools after that if you want

pale moss
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from what I understand the perfect numbers have gotten so large it's impossible for anyone to really "do the math" themselves

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At this point it seems to be about finding patterns to help the supercomputer algorithms, that's my understanding

true zinc
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you can't eyeball them

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even an AI can't eyeball them

pale moss
true zinc
jagged oriole
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not at present, anyway. They're just not capable of that

true zinc
pale moss
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isnt a supercomputer responsible for finding most of the recent very large prime numbers? that is my understanding from the video I linked

true zinc
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humans

pale moss
true zinc
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humans who know a SHIT TON of maths

true zinc
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sorry to break to you but you cannot do what you're trying to WITHOUT also knowing the sound theory first

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there's a reason number theory is a field that has so many easy-looking statements that are such a PIA to prove

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(fermat's last theorem, BSD conjecture, riemann zeta hypothesis, etc...)

jagged oriole
true zinc
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hell, for 2 of those, we don't have a proof yet

pale moss
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well would you say there are no visual patterns for perfect numbers using base-60 and cuneiform? it's not worth looking into at all?

jagged oriole
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probably not

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you can try, if you want to, but it helps to know what has already been discovered about primes

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to make sure you're not just re-proving old things, which is fine but it seems to be not what you want

pale moss
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thats why I ask the AI if the patterns are known in academia formally

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even if its a simple pattern

jagged oriole
pale moss
#

The first thing I asked the AI was if anyone really searches for this sort of thing using base-60 cuneiform and it said no not really, so that is what set me down that path

jagged oriole
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idk if this is true anymore, because we have slow programs that are deterministic

jagged oriole
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its output should not be trusted

quasi jettyBOT
static loom
pale moss
# hardy iron !nogpt

read that again but slower maybe, I don't think it is saying what you think it is saying (because I am not doing that)

hardy iron
pale moss
hardy iron
pale moss
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Also it is not so much a mathematical task and more of a pattern recognition task, even for small prime/perfect numbers

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the point isnt for it to do advanced math but to look for patterns like I said even for the smaller numbers

hardy iron
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There's no useful elementary pattern whatsoever

pale moss
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Is this wrong?
"The sum of digits in base-60 for known perfect numbers could exhibit interesting visual or numerical patterns. For example, 6 in base-60 is still 𒁹𒁹, summing to 𒁹𒁹 (6). In base-60, larger perfect numbers like 28 would be represented as π’Œ‹π’Œ‹π’Ή (0,44), and the sum of these digits (0 + 4 + 4) still equals 8 in base-10, providing a visual cue of balance or pattern. This isn't formally known but could be an engaging way to explore perfect numbers."

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I am just trying to help with a new way for people much smarter/knowledgeable than me to look into perfect number patterns they may not have considered before, that is really all

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So those really smart people can make better algorithms, not for me or the AI to do that

wispy bloom
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Mm

#

Chann
el number thirt
Een

pale moss
# static loom also throw this in your prompt to the LLMs: "Are these special cases of Dirichle...

"Are these special cases of Dirichlet's theorem?

No, the observations and patterns discussed regarding perfect numbers in a base-60 system with cuneiform writing do not relate to Dirichlet's theorem. Dirichlet's theorem specifically pertains to the distribution of prime numbers within arithmetic progressions. It states that for any two positive coprime integers a and d, there are infinitely many primes of the form a + n d, where n is a natural number.

The patterns discussed in our conversation involve:

The visual representation of numbers, particularly perfect numbers, in different bases and numeral systems.
Symmetry, digit sums, geometric interpretations, and proximity on a number line, which are more about the aesthetic or intuitive understanding of numbers rather than their distribution in arithmetic sequences.

These are not special cases or extensions of Dirichlet's theorem, which is strictly concerned with primes in arithmetic progressions. Instead, they fall into the realm of number theory education, visualization, and perhaps speculative or heuristic approaches to understanding numbers, but they do not directly address or extend the mathematical content or implications of Dirichlet's theorem."

static loom
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earlier you conflated prime numbers with perfect numbers so I had to check, it was a 50/50 shot KEK

pale moss
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I feel like that explained what I am trying to do better than I could explain it though at least

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And it is my fault for not being very clear, this is all pretty new to me, but like I said before I feel like that might be a good thing because I can think of unique ways to search for patterns that people knee-deep in this sort of thing might overlook because they are trained to do it a specific way in a specific base system with a specific numerical system etc.

solid snow
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Not really

jagged oriole
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I do a freelance mathematical modeling gig for a small real estate company in New Jersey, but they make me do all the formulae in excel and tbh I think this should be some sort of crime

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(I should just stop unless they let me do it in python at least)

pale moss
# solid snow Not really

I just watched some of the video I linked again and around 3min in he shows how the perfect numbers if written out in binary show a pattern,
6^10 is
110^2

28^10 is
11100^2

496^10 is
111110000^2

etc.

is it really so crazy to say maybe we should look at these numbers using a different base system or cuneiform? If writing it out in binary can show a clear pattern maybe writing it in other ways can too, and when I asked if anyone has really looked at it with base-60 / cuneiform the AI said no not really (this wasn't some complicated math question I asked it, and not what I am asking here or trying to do)

solid snow
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AI itself can’t even determine whether what you asked it is true or false really

pale moss
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6 is also 1+2+3

28 is 1+2+3+4+5+6+7

496 is 1+2+3+. . .+31

these don't take some math genius to figure out it is really just about looking at it in a new way to find patterns, no?

solid snow
#

also its not like different bases haven’t been studied for a bit now to say the least

solid snow
sharp mulch
pale moss
# solid snow patterns that let us do what or say what?

since the perfect numbers are so large now you can't really find them by just doing a whole bunch of math, I think one of the mathematicians said it would take someone like a trillion years to find the next number (they can do it, it just takes an impossible amount of time) so at this point they are looking for patterns that can be used to adjust an algorithm that goes into a supercomputer that does the calculations

this is my understanding

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I don't know if anything will come of it even if new ones are found I just like the unknown exploration part of it all

pale moss
solid snow
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maybe not cuneiform

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idk what cuneiform would add here

pale moss
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maybe for whatever reason looking at it in cuneiform will too

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or in base-60 etc

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its not that converting it to binary is some super hard math the AI can't do, it's about knowing where to look really

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binary code is just base 2

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if writing it in base 2 shows a pattern why not check to see if base 60 does too?

pale moss
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"Guiding Initial Searches: Visual or conceptual patterns might help in deciding which numbers to check first in a computational search, essentially providing a heuristic that might reduce the number of tests needed by prioritizing certain candidates based on observed patterns."

pulsar pagoda
still shuttle
#

i would post this in #math-pedagogy but i’m not sure how strict the mods are with that channel

calm vessel
#

What's the point of algebraic topology, it does prove difficult problems like showing that the 2 sphere and 3 sphere are not homeomorphic, but on the other hand that's an "intuitive" statement. Like the style of Alg Top of just building definitions seems to just prove stuff that feels technical and already "intuitive" even if difficult.

tawny blade
#

Great for classifying things, in an automated or formal way. For example: perhaps you could apply it in order to model your feelings in a computer program.

alpine kindle
#

how are you using algebraic topology for that

tawny blade
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I'm not, I can just see that you could use it for that.

alpine kindle
#

i can't

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could you elaborate

tawny blade
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Well basically this is giving form to things so as to make them calculable, that are otherwise highly complicated due to dimensionality.

alpine kindle
#

how are you using algebraic topology here?

tawny blade
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I've got a plan to use a particular memory layout in a computer program, I suppose basically the topology will be driving what is written where and how often.

alpine copper
limber thunder
#

in any case you could also make a point that while some statements are "intuitively true" you can't really guarantee that they are until you've formalized them

alpine copper
#

^

limber thunder
#

mathematicians also care a lot about the "why", there's explanatory value in e.g. defining certain invariants like the fundamental group and using it to prove statements like Brouwer's theorem, or the claim that two given spaces are not homeomorphic

alpine copper
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Even if I were to be gracious and believe that you found a statement like "every even dimensional sphere has no non-vanishing section" as "intuitive" id beg you to explain it to me in intuitive terms

blazing pawn
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Ok but lowkey if u draw the picture clearly they must be true

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Try to draw a nowhere vanishing vector field on the sphere right now

alpine copper
#

I forgot to purchase my 8 dimensional paper

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😦

calm vessel
#

See these are fair points- but the one thing id say I'm looking for- is an example where intuition or drawing the picture suggests the wrong idea and the formalism pays off

blazing pawn
#

Yes

alpine copper
calm vessel
#

That's where intuition is unavailable- which is different from misleading

alpine copper
blazing pawn
#

I mean "misleading" is kind of up to you

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Whats an example of some other field where a misleading result is proven

calm vessel
blazing pawn
#

if you say like weierstrass functions in analysis then i could say "well idk thats not that weird" which you might find unreasonable

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But its pretty subjective

old oak
blazing pawn
#

Like what about the poincare conjecture: is the fact that any n-manifold with the same holes/loops as the sphere can be deformed into it intuitive? or is it weird and unintuitive?

alpine copper
#

Tbh, alg top does a good job at proving intuitive statements that you could draw. But...that's not at all what it is limited to. It unlocks a new world of geometry/topology and kinds of questions that you wouldn't be able to phrase by drawing a picture

blazing pawn
forest axle
worldly trellis
#

Anyone do my hw?

blazing pawn
#

No

#

No one wants to do your homework

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Go away

alpine copper
old oak
worldly trellis
#

Mines easy

old oak
#

Great, then I'm sure you can handle it!

blazing pawn
calm vessel
grim valve
#

what is a laplace transform

frozen harbor
#

Why when i started putting in answers to ChatGPT that it was correct every single time until I got half way thru my assignments i need to do and it now fails and switches answers every time

quasi jettyBOT
frozen harbor
#

Oh weird

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I thought since ChatGPT has the ability to look up Ways problems are solved. It would know how to do it.

steel mantle
frozen harbor
#

my b i just got here

steel mantle
#

All good, thank you :)

frozen harbor
#

Its for another server

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I wish i had nitro loll

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anyways

#

Are there any people i can pay to help me out with all of these worksheets that are due tomorrow

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Or is that against the rules

steel mantle
#

We don't allow payments for work, and cheating on tests especially is banned, but if you need help approaching homework or coursework you can use a help channel to get some assistance

frozen harbor
#

@steel mantle can i dm you

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I dont wanna overload the channel

steel mantle
#

It's not a big deal, if you want you can always use #chill too

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I'm going to bed in a second anyway it's 1am

frozen harbor
#

Well its alot of worksheets, I’ve already put a problem in the help channel but it would take me at least a week if I had to go each problem. So should I post a picture of each question in my channel and then just wait or

#

I would go to my universities tutor services but they’re not available since it’s finals week

steel mantle
#

The channels are made to be used for one query at a time, but you can follow up with a new question after your previous one is answered

ember lance
steel mantle
#

dozens of us

north topaz
frozen harbor
old oak
#

That's not what the models were designed to do

frozen harbor
#

But you would think to solve a equation it would just use chegg or something similar to learn and then spit out the solutions

old oak
#

Why would you think that?

limber thunder
#

how it works is similar to predictive text

frozen harbor
#

So then it wouldn’t technically be AI

limber thunder
#

to solve equations it refers to a bunch of similar solved math problems within its training data and decides what's the most likely answer to follow

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roughly speaking

frozen harbor
#

So it just compares everything and picks the closest thing

unborn meteor
limber thunder
#

sort of -- the idea is that LLMs split up the input into "tokens" which can be words or syllables, and then decides what's the most likely next few tokens that follow, it does that a few times to iteratively construct an answer

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kinda like your phone autocorrect except more sophisticated and trained on heaps of data

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the model itself is also ridiculously huge

frozen harbor
#

I heard

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It’s interesting how it can’t process that though

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But i guess this being the beginning then that makes sense

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So when my professor made those answers up it can’t figure out what to do?

limber thunder
#

so it gives a decent illusion of "intelligence" which is really just how we perceive it (+ there's a whole philosophical current behind it that claims that human reasoning itself is just bayesian inference much like the one done by a language model running in a computer, but I won't start that debate lol)

frozen harbor
#

Hmm

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Well okay realistically speaking should i drop the class at this point then πŸ₯²

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Cause i thought i was gonna be able to do all of it

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Lowkey

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I just need to hear it ig

pale moss
nocturne idol
#

Hello

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1/2+1/4+1/8+1/16...+1/n=1

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An infinite series of numbers can add up to a number

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Is there a possibility that a finite series can add up to infinity?

shadow flax
#

No

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Well if you work with the extended real then infty + any number is infty

nocturne idol
#

I was thinking about 1/0=infinity

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But proving it is not easy

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1/0 tries to be -infinity and infinity at the same time

shadow flax
#

It's undefined

fluid pollen
#

how do yall get simple defs of concepts for recall?

north topaz
#

Anki is more professional if you don't mind investing a bit of time and energy

young ether
#

semantic spaces my beloved πŸ™πŸ™πŸ™

#

i think that's genuinely gonna be such a useful paradigm in neurology

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visualizing each qualia based semantic vector in a high dimensional space gave me such a useful mental model for understanding consciousness better

lime fossil
#

\int costheta/sin^4theta +5sin^2theta +6,
can the answer be ln(sin^2theta+2)/2-ln(sin^2theta+3)/2+C?

tawdry tartan
#

$\int{(cos\thetasin^4\theta +5sin^2\theta +6) d\theta,
\text{can the answer be} \frac{ln(sin^2\theta+2)}{2}-\frac{ln(sin^2\theta+3)}{2}+C}$

fathom swallowBOT
#

Nyxzore
Compile Error! Click the errors reaction for more information.
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finite agate
#

Hi everyone

finite agate
#

I'm new here and i want to learn new thing i'm content writer and off page seo expert and u?

static loom
finite agate
#

I’m eager to learn:
Unique mathematical concepts to inspire content ideas.
Tips for explaining complex topics in simple terms.
Insights into how math influences various aspects of life and other fields.

Looking forward to connecting and learning from all of you! πŸ“šβœοΈ

sharp mulch
#

Well you certainly have the seo part down

old oak
ember lance
#

There's a lot of people that would line up to explain to them why .9999... neq 1

unborn meteor
#

.remindme 7h userscript

quasi jettyBOT
cloud basin
#

what do we do if theres an irrational number as an exponent frπŸ˜”

old oak
#

~~ Give up and become a welder~~

cloud basin
old oak
#

Less jokingly, we approximate the irrational using rational numbers

cloud basin
#

how tho

#

like what does even

#

2^pi mean

old oak
#

That's exactly the example I was starting to type, you calculate $2^3$, then $2^{3.1}$, then $2^{3.14}$ and so on, and you'll find out that as your rational numbers get closer and closer to $\pi$, the results of the exponentiation stabilize (in technical term, they converge to a limit), and we call that limit $2^\pi$.

fathom swallowBOT
#

Outsider

old oak
#

That's not exactly how e.g. computers do it, but it's a similar principle

cloud basin
#

okay wait

#

What dafuhhh is $2^{3.1}$

fathom swallowBOT
#

Luh Roub

old oak
#

$2^{3.1} = 2^{\frac{31}{10}} = \sqrt[10]{2^{31}}$

fathom swallowBOT
#

Outsider

cloud basin
#

is it just $2^3 \cdot 2^{0.1}$

fathom swallowBOT
#

Luh Roub

cloud basin
#

so like

#

$8 \cdot \sqrt[10] 2$

fathom swallowBOT
#

Luh Roub

cloud basin
#

does that work

#

looks wrong ngl

#

but i dont see a mistake

old oak
#

It's fine

cloud basin
#

so that would be our answer?

neat lintel
#

Hi

old oak
#

Well, that's the value of $2^{3.1}$, so it's going to be close to $2^{\pi}$, but not exactly equal

fathom swallowBOT
#

Outsider

cloud basin
#

yea

#

approx

#

can we somehow use limits?

#

Like

#

Idk

#

$\lim_{x→π} 2^x$

#

what happend

#

$\lim_{x β†’ \pi} 2^x$

fathom swallowBOT
#

Luh Roub

cloud basin
#

bruh

#

$\lim_{x -> \pi} 2^x$

fathom swallowBOT
#

Luh Roub

cloud basin
#

lowkey same problem

#

what happens then

rocky shuttle
#
\[\lim_{x \to \pi} 2^x\]
old oak
#

Exactly that

fathom swallowBOT
#

Ryc's Red Nose

cloud basin
#

i might be a little slow

#

Thats wild

cloud basin
#

so uh

#

Could we jus say

#

uhhhhh

#

need to think

solid snow
#

Use supremums cat_wink

cloud basin
#

so its always

#

Kinda

old oak
#

Yep, the general mathematical definition (well, one of them) is that for $a>0$ and $b\in\bR$ we define $a^b = \sup{a^q: q\in \bQ, q\leq b}$. Alternatively we can start by defining the functions $e^x$ and $\log x$ (which can be done using something called power series), and then do $a^b = e^{b\log a}$.

fathom swallowBOT
#

Outsider

cloud basin
#

$2^3 \cdot \sqrt[10] {2^{14159265}}$

fathom swallowBOT
#

Luh Roub

cloud basin
#

this looks way too wrong

old oak
#

Wrong degree of the root.

cloud basin
#

why is that the case

old oak
#

Because $3.14159265$ isn't $\frac{314159265}{10}$

fathom swallowBOT
#

Outsider

cloud basin
#

to understand what you said

cloud basin
old oak
cloud basin
#

so

#

2^3

#

Is the 3 in the 3.14

#

and then the rest is like

#

pi-3

#

imo

old oak
#

To be honest I'm going to struggle to explain irrational exponentiation to you if you're shaky with fractions

old oak
#

I rather meant that I think you should first do some revising of basic algebra, including operations on fractions and switching between decimal and fractional forms of numbers

cloud basin
#

I uh

#

but i dont struggle w fractionsπŸ˜”

#

why ru gaslighting me fr

solid snow
#

the above suggests otherwise

#

not a bad thing, just something to fix before moving on

cloud basin
#

oh true

#

i misread that

#

damn

#

cant believe that

#

$2^3 \cdot \sqrt[100000000] {2^{14159265}}$

fathom swallowBOT
#

Luh Roub

cloud basin
#

@old oak das correct now?

old oak
#

I didn't count the zeros, but it seems more reasonable

cloud basin
#

8 zeros

#

8 digits in the expo

#

should be right now

cloud basin
old oak
cloud basin
#

Alrighty tysm fr

azure pollen
#

are there any splines that conserve length even when their tangents and their end points change??

quasi jettyBOT
neat lintel
#

How can you conserve length and change endpoints?

wary dagger
#

So $1$ + $1$ = $2$

fathom swallowBOT
limber thunder
hallow igloo
wary dagger
#

$x^3$ + $x^2$ = $97$

fathom swallowBOT
static loom
#

x^2(x+1)=97 but 97 is prime so there are no integer solutions 😌

quick beacon
#

You are probably aware, but you don't have to enclose just the numbers in the equation.

#

@wary dagger ^

#

$x^3 + x^2 = 97$

fathom swallowBOT
#

OmnipotentEntity

ripe oar
#

Is there a theorem that says for any countable(finite or infinite) set of points there exists a differentible function that passes through them?

#

With the condition that a=b implies f(a)=f(b) of course

#

For a finite set of points Lagrange interpolation can be used so there clearly is, not sure about countably infinite though

old oak
fathom swallowBOT
#

Outsider

ripe oar
#

Why is that if I may ask?

#

Oh nvm I see why

#

Sequential criterion of continuity

#

Thanks

old oak
upbeat heart
#

Bro why i cant even solve basic statistic story question. My problem solving skill is rotten at this point

ember lance
#

Gonna go grab soil from the garden plot (I have permission) for my mint plant today β™ͺ♫♬

static loom
azure pollen
barren hull
#

uh so this isnt math stuff but i stidy biomedical science and if any of u know I’ve been reading about cell signaling pathways, but I still don’t get how the second messengers actually work

#

I understand that they’re involved in transmitting signals inside the cell, but how do they really function to trigger changes? It’s a bit unclear to me

dull berry
#

Is there any difference between proper subset and proper superset cause I see none

solid snow
#

well they talk about different things

versed agate
#

A is a proper subset of B if and only if B is a proper superset of A

upbeat heart
#

How to increase problem solving skill 😭

rocky shuttle
#

Solve more problems

upbeat heart
#

Even if the problems takes hours for me to answer? 😭

rocky shuttle
#

Depends on your goal

#

Undergrad math problems do usually take several hours to solve for a beginner

upbeat heart
#

But what I'm afraid is sometimes the problems I'm learning through previous exam question, is somewhat different then what will come out next year. So it is like completely new problem for me to solve

upbeat heart
rocky shuttle
#

Right, I don't advise learning to solve exam questions only

sharp mulch
rocky shuttle
#

Try to understand the concepts, too

upbeat heart
#

So the final answer is learn to solve the problem as well learning the concept too

#

Is it harder to understand math since chemistry/physics formula's are applicable in real life, like for example the pV = NRT. I can see the video where the formula is applied through piston ig?, but I can't imagine the x² - ax + b = 0 being applied in real life 😭

#

Please I need help understanding the math 😭

north topaz
#

Pictures help

#

The beauty of maths is it doesn't need to be related to the real world

north topaz
north topaz
#

So many other conditions

#

Real gases do not behave like that

#

In maths they don't lie to you

#

No thx

#

No

#

Frick its you again

#

Can you stop creating new accounts

#

Lmao, no

upbeat heart
north topaz
#

Yeah like that's how you draw the sign diagram

#

Look at if the x^2 term is positive or negative

#

<@&268886789983436800>

upbeat heart
#

I think i get the general idea

narrow carbon
#

Mod can see deleted messages btw kekw

north topaz
#

/j

leaden torrent
narrow carbon
leaden torrent
#

you might have them hidden under "Channels & Roles"

#

enabling this should show them if so

sharp mulch
#

?

#

Yeah sure

#

But like

#

A public discord server???

#

Deleted message

#

Lol ok

sharp mulch
#

Yes

hearty marsh
#

Ok

#

Done

neat lintel
#

We model spring

solid snow
#

<@&268886789983436800>

terse comet
#

why is there always another mod ping

solid snow
#

Users…

left mesa
#

woa so many mod pings

hearty marsh
#

why the ping tho

solid snow
#

for something that moderators dealt which is why it's removed from chat

#

don't ping me for this

hearty marsh
#

uh sorry

neat lintel
#

why are you 2 people at the same time rn

#

you said you change nicknames but now you're using 2

true zinc
neat lintel
#

bro

true zinc
#

and well, it only gets more confusing from here

neat lintel
#

so the amount that you are a person isn't an integer?

neat lintel
#

crazy

#

is it a real number?

#

or is it a non real complex number

true zinc
neat lintel
#

wowzers

#

alr i was joking i think it can't be a non real number

#

i guess your indentities probably have different sexualities

#

so if you are between an asexual identity and a bisexual identity, what is your real sexuality at the moment?

#

lol

true zinc
neat lintel
#

lmao

true zinc
#

just fucking hope it doesn't happen when you're...uhm...doing stuff with people

true zinc
neat lintel
#

acesexual?

true zinc
neat lintel
#

but you can note things

#

so when you go to a personality that isn't attracted to that person, you can see that you have other personalities that are and wait until the personality that likes that person come back

true zinc
unborn meteor
#

hmm

true zinc
#

oh that reminds me

#

monday's gonna be fuuuuuuuuun /s (final grades come out)

unborn meteor
#

why?

true zinc
unborn meteor
#

ph

#

oh

neat lintel
true zinc
neat lintel
#

i can imagine

true zinc
#

(some of us have outright different ages, and like I'm not even gonna get into this)

neat lintel
#

what??

#

there are trans age?

unborn meteor
#

kinda...

#

doesn't hrt change your biological age anyway

true zinc
true zinc
unborn meteor
#

i think it does

true zinc
unborn meteor
#

bc E increases life expectancy

neat lintel
#

and maturity

true zinc
neat lintel
#

whats a bloody class

true zinc
#

I love dissociative amnesia I love dissociative amnesia I love dissociative amnesia I love dissociative amnesia

true zinc
neat lintel
#

ok

unborn meteor
neat lintel
#

yeah that must be a shit

neat lintel
#

imagine you finally learn something and then you unlearns it

true zinc
neat lintel
#

to make sure you will pass in a test you have to study in every of your 20 personalities πŸ’€

unborn meteor
#

you must unlearn what you have learned, and then learn it again! (please get this reference)

true zinc
unborn meteor
#

(which from my experience happens more than 95% of the time)

#

i'm actually the one grading their tests so i know for sure

true zinc
neat lintel
#

the only advantage of DID is that if you and another personality disagrees, you can always think on new arguments to continue the discussion until you find out what's the right opinion

unborn meteor
#

that's an advantage?

neat lintel
#

yes i guess because theoretically for any debate you would be able to find the correct opinion

unborn meteor
#

"correct opinion" is an oxymoron

true zinc
#

here's us talking w/ one of our other friends who has DID about switch stuff from earlier today

true zinc
#

watch as your mindscape literally turns into a firey inferno

#

it's not fun

#

and yes we can visualize our headspace, it's cool, until it's not

neat lintel
#

it's cool until it's not 🀯

true zinc
neat lintel
#

bro made a group chat with more than 10 members

true zinc
neat lintel
true zinc
#

FUCK THAT FEELING

#

IT'S AWFUL

neat lintel
#

is it a convo between people of your system?

true zinc
neat lintel
#

or is it you and another physical person (another system)

neat lintel
#

why are they the host?

#

did yall make an election?

#

WAIT ALSO

true zinc
# neat lintel the host?

the host is generally the alter who's around the most and/or controls most of the day-to-day, for example, I (Ryan) am our host

neat lintel
#

HOW DO YOU VOTE FOR PREDISENT

true zinc
#

every system governs differently

neat lintel
#

genius

true zinc
#

ours is...uh...dangerously close to anarchy half the time

neat lintel
#

lol

neat lintel
#

oh

#

it's the host of the other system yall were talking to

#

now i got it

true zinc
#

Our hosts have been

Ari -> Astrid -> Me -> Astrid -> Me

neat lintel
#

can someone die

#

or born

true zinc
true zinc
neat lintel
#

but can't they join with each other too then?

true zinc
unborn meteor
#

WHAT

#

that sounds like... good luck doing anything that day

neat lintel
true zinc
#

it takes a lot out of us to split

neat lintel
#

thats crazy even the number of alters can chanfe

true zinc
neat lintel
#

what if you actually have an uncountable number of personalities

true zinc
neat lintel
#

because the amount that you are in every one of them is a rea number

true zinc
#

we actually know one irl

neat lintel
true zinc
#

they're very kind, also into maths

true zinc
neat lintel
#

luckily i have only one

#

you can also have no personalities, right?

unborn meteor
#

UNCOUNTABLE ALTERS

#

WHAT

#

HOW IS THAT PHYSICALLY POSSIBLE

neat lintel
#

about a negative number of them idk

true zinc
unborn meteor
#

can it be complex

#

the alter count

true zinc
true zinc
neat lintel
#

bro but how tf do you know another did system irl? isnt that really really rare?

unborn meteor
#

its like 1% or something

neat lintel
#

not even 1

unborn meteor
#

well that's called being dead

neat lintel
#

lol

versed agate
#

people seem to cluster

unborn meteor
#

trans is not that rare

#

like 8% apparently

neat lintel
visual breach
#

@true zinc How do you keep track of multiple personalities?

neat lintel
#

in the internet is easy like there's probably some discord server for trans people

visual breach
#

Do each of them manage to identify themselves?

unborn meteor
#

i'm trans

versed agate
unborn meteor
#

global

versed agate
#

I've seen 0.5-2% usually

unborn meteor
#

it shouldn't differ per population

#

yeah but theres a lot of underreporting

versed agate
north topaz
#

Like we are not in the 70s anymore

unborn meteor
neat lintel
# unborn meteor it's this one

i mean a trans community server, maybe for people who suffer judgement and want a place with people that understand their feelings

north topaz
#

I'd say government statistics in Western countries will be accurate

#

If anything the older generation will be undercounted

unborn meteor
#

this is basically a trans community server

neat lintel
true zinc
visual breach
#

Oh wow. That's awesome, but it sounds stressful as well.

unborn meteor
neat lintel
#

yeah but they are for any topic

unborn meteor
unborn meteor
#

i do too

neat lintel
#

like i think ratios should always be the same

#

so there's a relation between being trans and liking math

#

or maybe it can be a coincidence

#

idk

onyx karma
onyx karma
#

As to why I say there are better places for that, coming together in solidarity is a beautiful thing but when it's done in a domain specific context that's not explicitly aligned with the respective domain, it often has the unintended side effects of
A. Pushing the social aspect into the backseat (ie it will always be secondary to the domain itself)
B. Creating animosity for the social aspect because it's seen as invasive ("I came for <insert y> and got <insert x> instead")
C. Splitting the engagement for a community (if I go into a server about chemistry, the people online shouldn't only be there because of a social issue they care about)
D. Hindering proper discovery (do we market it as a social server? If so, will that just stunt the growth because of the aforementioned problems?

slender moat
#

testing

#

i was testing

onyx karma
#

I have many trans friends and I would love to see a server where their rights and issues were given the full stage and proper respect, hopefully that already exists, but trying to make domain specify servers that is a mistake

#

That's why I left the Arch Linux discord, it isn't primarily about Arch Linux anymore as they said themselves, so what is the point?

#

Also I'm open to counter arguments of course, just yelling into the void a bit lmao

solid snow
#

we have many dedicated math channels with lots of in depth math discussion

#

the discussion channels are the social channels

onyx karma
#

That's fine, every server has general/chat/discussion and friends lol

gusty socket
#

like not even close

brittle socket
thick yacht
umbral lion
surreal sapphire
#

this is old data but i dont think it changed significantly

#

(data from 2022)

#

wait wrong data opencry

#

this one

#

(there is ofc the issue that straight people do not know what cisgender means, explaining why this is so low)

remote goblet
surreal sapphire
#

data collected from the last server survey

ember lance
#

Did the results in any meaningful way impact the direction of the server, or was it merely for curiosity?

surreal sapphire
#

well, the results and some additional commentary from server staff are publicly available

#

relevant section is Discussion of feedback

ember lance
#

Thanks for the link... That was a lot more than I expected. I guess the reason there are no more surveys is because of the implementation of the meta channels?

#

Make your helpers active.
I guess some things never change bleakkekw

dense belfry
#

30% being trans was my bit from 2 months ago

onyx karma
thick yacht
surreal sapphire
#

there might be future surveys, the main reason they arent happening is nobody wants to do that work i think

chrome whale
#

What are some real genius that you guys might have seen? Extremely curious.

static loom
#

just the other day

onyx karma
#

But then she said she didn't want to elaborate so idk why she even mentioned it there. Figured I'd still ask about it since she seemed to want to talk about the progress with it

sonic sentinel
#

chat do you think i could still do it 😭

solar sedge
sharp mulch
#

Imagine not averaging a book a week

sonic sentinel
solar sedge
#

I gotta read for high ability classπŸ‘ŽπŸΎ

sonic sentinel
neat lintel
#

whycan people with undergraduate math role send media here

proud olive
#

Only people with image perms can

#

Emeritus gives you that, not the undergrad role

neat lintel
#

oh

#

wait

#

so

#

so the very active people role also gives you media perms, right?

sharp mulch
#

Yes

upbeat heart
#

Bro i hate math 😭

topaz surge
umbral lion
sonic sentinel
surreal sapphire
sharp mulch
#

Excluding manhwa

#

This is up until the first week of December

opal mesa
sharp mulch
inner canopy
true zinc
#

yaoi is awesome

vocal vessel
true zinc
sharp mulch
inner canopy
#

I should read more yaoi ngl

#

Last year was my ABO phase
Now we're in the yaoi smut phase 😎

sharp mulch
#

Case File Compendium is both

#

Lol

amber fog
vocal vessel
#

You're reading the wrong edition.

sonic sentinel
sharp mulch
fringe meteor
#

@sharp mulch why did u block me

icy locust
wild lantern
#

I'm sure some of us commute smugsmug

true zinc
#

doot what does this imply

#

is mathcord some weird fucked up version of GL_N(C)

solid snow
#

Analysis is just a big scam by big small to get us to buy more small

true zinc
bronze pelican
#

Just like mathcord is a great group

solid snow
#

The General Linear Group…

hallow igloo
jolly zealot
old oak
#

What is a tree but an upside-down pyramid

hallow igloo
#

its a tree that has a treehouse with a plank that says "TOPOLOGISTS ONLY"

old oak
#

In Poland we have a tree specifically for topologists! https://pl.wikipedia.org/wiki/Topola

Topola (Populus L.) – rodzaj drzew z rodziny wierzbowatych (Salicaceae). WyrΓ³ΕΌnia siΔ™ w jego obrΔ™bie zwykle ok. 30–40 gatunkΓ³w, ale teΕΌ czasem znacznie wiΔ™cej (problemy taksonomiczne powoduje Ε‚atwoΕ›Δ‡ krzyΕΌowania siΔ™ tych roΕ›lin i ich duΕΌa zmiennoΕ›Δ‡). ZasiΔ™g rodzaju obejmuje wszystkie kontynenty pΓ³Ε‚kuli pΓ³Ε‚nocnej i obszar od Arktyki po poΕ‚udniowy...

hallow igloo
#

why is poland the source of my suffering? (the annoying parts of functional analysis, measure theory and topology)

old oak
#

It's our revenge for the partitions and the Ribbentrop-Molotov pact

hallow igloo
#

im catching stray bullets man im just algerian

old oak
#

Collateral damage

#

Can't be helped

#

It's all in good cause

hallow igloo
#

also, polish people dont need their territory... they already have polish spaces

old oak
#

I won't lie, that did catch me off guard

onyx karma
static loom
hollow bane
#

Yo

dusky thistle
#

Do you mean like professional gymnasts?

hollow bane
#

Yeah

dusky thistle
#

Like Simone Biles

hollow bane
#

Courtney tulloch is a uk gymnast

hollow bane
dusky thistle
#

I don't know her

hollow bane
#

It’s a him

dusky thistle
#

Bruhhh

#

Bro has a girl's name

hollow bane
#

I got image locked

#

Bro

empty rapids
hollow bane
#

Hey biper

hollow quest
#

I was under the impression he was an American studying at Princeton

gusty socket
hollow bane
dusky thistle
#

I don't know him, but I know of Max Whitlock, Louis Smith, Beth Tweddle, etc

hollow bane
#

Max Whitlock pretty cool

#

What about liu yang

empty rapids
dusky thistle
#

Nope

hollow bane
#

πŸ”«

empty rapids
#

πŸ’€

dusky thistle
#

I'm not into gymnastics that much

hollow bane
#

Viper is a gymnastics enthusiast

empty rapids
hollow bane
#

It was sarcasm

empty rapids
#

☠️

hollow bane
#

You are indeed not a gymnastics enthusiast

empty rapids
#

indeed not

dusky thistle
#

I also play the piano and violin

empty rapids
dusky thistle
#

Oh nice!

hollow bane
hollow bane
empty rapids
hollow bane
#

I never knew that

empty rapids
hollow bane
#

I wanna play arabesque’s

#

Such a good song

empty rapids
#

aren't there like

dusky thistle
#

Anyways I need to get ready for work tomorrow so see you guys

empty rapids
#

a lot of songs called arabesque

hollow bane
#

Arabesque no 1

empty rapids
#

😭

hollow bane
empty rapids
#

πŸ’€

hollow bane
#

What what what?

empty rapids
hollow bane
#

What what what what what?

#

What

bronze imp
#

Hey does someone know why I never find many resources in projective geometry?

empty rapids
#

electrical power u mean?

#

i think its watts

#

that flew right over my head

onyx karma
#

It's the facial expressions for me

onyx karma
static loom
#

lol

fleet condor
#

if u know how to solve logs and exponentials try this fun equation r^2 y + (1-as)ln(m) = ln(x)

hollow bane
sturdy snow
#

well

neat lintel
#

well well well

daring parrot
#

how do i get a high paying career without college

#

im not smart at all but i want to be succesful

#

but how will i ever

verbal quest
#

second verse
same as the first
A little bit louder
and a whole lot worse

pulsar pagoda
umbral lion
foggy meadow
#

Certification hell

verbal quest
umbral lion
#

who gives a shit man, mods wont ban spam lol

pulsar pagoda
#

its a good job

#

good salary

#

U dont need to be smart to do it

foggy meadow
#

You need to have some strength though.

pulsar pagoda
#

and the right tools

static loom
#

some even go on to do other things, like save princesses

raven plaza
pulsar pagoda
narrow carbon
sharp mulch
limber thunder
#

that's some advice to give smh

brazen mulch
#

however, that's not how it works, usually πŸ’€

narrow carbon
#

I think i misunderstood her question

#

She wanna get successful career, rather than money only

limber thunder
#

yes career is the key word here I guess

narrow carbon
#

Yeah. My bad, misunderstanding

tiny basin
#

Yo ima dude can i also marry a rich guy

#

I dont wanna work

narrow carbon
tiny basin
#

opencry calc 3 it is

narrow carbon
#

Calculus? sully

limber thunder
tiny basin
#

😳

limber thunder
#

starting a small business might be another but not a very reliable option these days

narrow carbon
#

Cool

narrow carbon
tiny basin
#

Ayye

#

Well shieeet

#

I hestd its not hay bad

narrow carbon
#

After Lin alg

tiny basin
#

Calc 2 wasnt bad tbh

#

Only sequences and seires

narrow carbon
#

I will study

tiny basin
#

Kinda was tuff for me

tiny basin
narrow carbon
narrow carbon
tiny basin
#

I want to take lin aswell

#

But my major at my achool dosnt eequire it

#

But i will maybe take it