@torpid elbow @gloomy mantle https://www.desmos.com/calculator/qgia9dkfij
#serious-discussion
1 messages Β· Page 204 of 1

Does anyone know what the emeritus role is
It's someone who used to have the Very Active role, but then fell under the posting frequency threshold to maintain it
Isee thanks
Bro had to ask 
do yall give advice
consult your doctor
Depends on the question, I am not a plumber
licorice
bless
given a continuous function, its value at f(c) is also the rate of change at which its area is growing?
I wanna know if I properly understand ftc I
Yes!
what's c
Hi, does anyone have knowledge in engineering (graphic kinematics)?? BTS level or even high school level.
!help
To ask for mathematics help on this server, please open your own help channel or help thread. See #βhow-to-get-help for instructions.
i did it but nobody help me
A function is its graph fr
A function is an element of a function space
A space is an element of a space space
a function assigns one element in a set to one element in another set :^)
0^0=1 there's a function from the empty set to the empty set π
An an is an element of an an space
Gromov Hausdorff/moduli space pilled
is x^2=-4 rational or irrational?
Imaginary numbers are neither
It's considered an equation
im doing assignment that has word bank
a function is an element of C^inf πΏ
i can't write it on computer
this is for hs, yeah
i'll just put nothing
C^j where j=0,1,2,3...
and hope that the correct answer
NVM it starts at 1
Relations is where it starts at 0
(honestly forgor what 0nary relations even means but I remember my book saying it)
(blind trust πΏ)
what is a space space? an element of a space space space?
Yeah

Why is CS so much math
I can just call a library to do the math for me i dont need to know how to do it
CS is a branch of math πΏ
someAlgorithm.doesThisHalt()
welcome to the server @narrow tendon
Thanks
Also why do some of the help channels disappear
I try to find my old ones. I literally write my channel number down and they literally just arenβt there
I try to find the explanations
make sure this arrow to the left of "MATH HELP" is pointing downward instead of to the right, otherwise channels will be hidden unless there is unread activity
Yea u checked those too
Also I have those as always shown
No
Probably better to use the main search feature for this server when you need to go back and re-read your past help channels ππΌ
in the main search bar , you can just type βfrom:β (without the βand β ) and then type in your discord username
And all of the messages you sent in this server will appear (from latest to oldest)
I think some of the channels becomes hidden
Check #chill I just posted a photo there
Regardless even if the channels are hidden, you should be able to find your post by using the search bar.
You get an anonymous note:
βMeet me at Locker 313 after school. Trust no one.β
- Go to Locker 313 and check whatβs inside.
- Ignore the noteβitβs probably a prank.
1
come up with a new game
they go to the depths of hell
im not sure why they do this
but they hide a few channels
To prevent there from being a constant wall of 30 channels in the available section
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
Like everything ive seen that tries to explain it are simply theories
Yeah, they should get going with experiments, create some universes and see what happens
I feel that's more philosophy than science
Science is about modelling
Actually I think "explanations" in general belong to the realm of philosophy
Thats the thing, in the context of before the big bang how can we use actual proven science without relying on simply theories
Science just models, and the accuracy of the model is checked through the scientific method
We can't I don't think
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?
No states of matter, no time, just nothing
I don't know about zero temperature (how does one even define temperature)
The math in the model just says there's a singularity at some point
A measure of the average kinetic energy of the particles in a sample of matter, expressed in terms of units or degrees designated on a standard scale.
Yeah, but then there needs to be something for that singularity to exist
This is one of my strongest reasons for being agnostic
That's beyond the scope of the model
Yeah precisely
The way pop-science likes to put it is that there was nothing before the big bang
But the big bang theory doesn't actually say that
It doesn't say anything about before the big bang
Yeah, if there is something that comes out regarding it ill drop everything and go full athiest
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...
Probably do a lot of practice problems
There is a place called pauls notes online that is good
or khan academy if those are too hard
is it doable in khan within that time?
idk if u spend a lot of time on it probably
im starting from scratch
khan academy is kind of slow, pauls notes is more fast paced
but its also harder so maybe you just wont learn anything from doing pauls notes if you cant do the problems
hm alright, any studying tips in general? I think I need to change things up
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
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
ah alright, im just worried about the time limit i guess because I remember nothing
are limits important for calc 2?
Yes
damn it
limits are important everywhere in analysis
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?
major you want
Transferring majors can be a pain
but if the better college is a whole magnitude better and you dont mind lost time, then better college
but if you really wanna excel, an alright college can be a good way to stand out
but the better college will have better amenities and can make for better connections
its rutgers or nyu
so if you work hard you might still get a lot out of it
but at the alright college it'll probably be cheaper
and so on...
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."
"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 ππππππππΉ (59 units) and 61 as 1,1 (1Γ60 + 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 (20Γ60) or 3600 (60Γ60) 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 ππππππππππππππππππππ (19 units in the 60's place), while 1201 would be 20,1 (20Γ60 + 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."
What
Ok probably way off base then sorry lol
skimmed it but sounds like a special case of Dirichlet's theorem
there are infinitely many primes of the form an+b for constants a,b when gcd(a,b)=1
Iβm not sure what YouTube video you watched but almost all prime numbers are odd
so I guess a=60 and b=whatever else you had there
The part on the bottom I put in quotations is from Grok
sorry not prime numbers, perfect numbers
Ok those are very different
I didn't mention anything to grok about odd numbers just searching for prime numbers in general
Searching for prime numbers or perfect numbers
I guess if you're searching for Mersenne primes it's the same goal 
searching for prime but I am realizing now I think I meant perfect yeah lol
yeah thats it
he talks about that in the video I linked
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
that sort of stuff is too advanced for me to be honest, I was just thinking of fresh ways to find patterns for perfect numbers (or Mersenne primes) that have not really been looked into since I am seeing it from an outsiders perspective
I figure if I can identify a pattern it can be used to help those supercomputer algorithims find more
if you think that's too hard, what you're trying to do is harder
This is not generally how it works, for outsiders to math.
its not so much the math part I am trying to do and more so just the finding patterns part looking at it in new ways while using AI to actually do the heavy lifting, I am just pointing the direction for it to go
!nogpt
Please do not trust ChatGPT or similar AI tools for mathematical tasks, as they often generate output which "sounds correct" but has numerous factual or logical errors. Use of these AI tools to answer other people's help questions is strictly against server rules (see #rules).
AI is a weenie it can't do heavy lifting
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
also throw this in your prompt to the LLMs: "Are these special cases of Dirichlet's theorem?"
see what it says to you
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
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
I am not trying to "do math", I am looking for visual patterns to help a supercomputer do the real math...
from what I understand the perfect numbers have gotten so large it's impossible for anyone to really "do the math" themselves
At this point it seems to be about finding patterns to help the supercomputer algorithms, that's my understanding
Even to see the patterns you need to know a LOT of number theory
you can't eyeball them
even an AI can't eyeball them
well that's why I said visual patterns, not numerical patterns
point still stands
the supercomputer cannot do the real math
not at present, anyway. They're just not capable of that
yeah humans have to write the algos to do the maths
isnt a supercomputer responsible for finding most of the recent very large prime numbers? that is my understanding from the video I linked
Guess who wrote the code for those computers
humans
yeah and they use patterns to make the algorithms, that is the part I am trying to help with
humans who know a SHIT TON of maths
not always, there's a lot of theory behind it too
sorry to break to you but you cannot do what you're trying to WITHOUT also knowing the sound theory first
there's a reason number theory is a field that has so many easy-looking statements that are such a PIA to prove
(fermat's last theorem, BSD conjecture, riemann zeta hypothesis, etc...)
humans do math that let us write efficient programs to check a ton of numbers
hell, for 2 of those, we don't have a proof yet
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?
probably not
you can try, if you want to, but it helps to know what has already been discovered about primes
to make sure you're not just re-proving old things, which is fine but it seems to be not what you want
thats why I ask the AI if the patterns are known in academia formally
even if its a simple pattern
here's a fun fact: the efficient programs to check primes are probabilistic in nature. We don't know for certain that really big primes are actually prime
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
idk if this is true anymore, because we have slow programs that are deterministic
the AI doesn't know
its output should not be trusted
!nogpt
Please do not trust ChatGPT or similar AI tools for mathematical tasks, as they often generate output which "sounds correct" but has numerous factual or logical errors. Use of these AI tools to answer other people's help questions is strictly against server rules (see #rules).
Any visual pattern is really just an indexed grid of numbers so the visual aspect is irrelevant.
The base 60 patterns are again, a special case of Dirichlet's theorem
It's not worth looking into at your stage of understanding because you don't know what you don't know and there have been many smart people before you who have tried it already
Aww sniped
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)
while using AI to actually do the heavy lifting
"Use of these AI tools to answer** other** people's help questions"
Please do not trust ChatGPT or similar AI tools for mathematical tasks
Also it is not so much a mathematical task and more of a pattern recognition task, even for small prime/perfect numbers
the point isnt for it to do advanced math but to look for patterns like I said even for the smaller numbers
There's no useful elementary pattern whatsoever
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 πΉπΉ, summing to πΉπΉ (6). In base-60, larger perfect numbers like 28 would be represented as πππΉ (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."
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
So those really smart people can make better algorithms, not for me or the AI to do that
"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."

earlier you conflated prime numbers with perfect numbers so I had to check, it was a 50/50 shot 
I feel like that explained what I am trying to do better than I could explain it though at least
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.
Not really
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
(I should just stop unless they let me do it in python at least)
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)
AI itself canβt even determine whether what you asked it is true or false really
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?
also its not like different bases havenβt been studied for a bit now to say the least
patterns that let us do what or say what?
You can use python in excel
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
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
they have been studied in regards to prime/perfect numbers? and cuneiform style?
you could say the same about writing it out in binary, but for some reason writing it in binary shows a pattern
maybe for whatever reason looking at it in cuneiform will too
or in base-60 etc
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
binary code is just base 2
if writing it in base 2 shows a pattern why not check to see if base 60 does too?
"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."
This feature is only available in cloud excel I think (Microsoft 365 on the browser)
i would post this in #math-pedagogy but iβm not sure how strict the mods are with that channel
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.
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.
?
how are you using algebraic topology for that
I'm not, I can just see that you could use it for that.
Well basically this is giving form to things so as to make them calculable, that are otherwise highly complicated due to dimensionality.
how are you using algebraic topology here?
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.
Is it obvious to you that every closed 3 manifold has 0 euler characteristic or is parelizable? Is it obvious that the existence of spin structure comes down to a vanishing characteristic class? These are all statements that use algebraic topology and have implications to differential geometry and physics
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
^
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
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
Ok but lowkey if u draw the picture clearly they must be true
Try to draw a nowhere vanishing vector field on the sphere right now
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
Yes
Draw a pair of paints (no belt loops) and count holes π«΅
That's where intuition is unavailable- which is different from misleading
Okay this is actually kinda funny, because a lot of alg top is proof by picture haha
I mean "misleading" is kind of up to you
Whats an example of some other field where a misleading result is proven
Yeah, but like it's a situation where I could "intuitively" argue different things, so then I don't have a definite intuition I'd say
if you say like weierstrass functions in analysis then i could say "well idk thats not that weird" which you might find unreasonable
But its pretty subjective
Can it be a 1-dimensional sphere?
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?
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
Unfortunately it has to be even
Are you talking about mersenne primes?
Anyone do my hw?
Only if you do mine π
I mean, you still can, just make it a random unit vector at every point
(yes, I know you meant a smooth vector field)
Mines easy
Great, then I'm sure you can handle it!
Whatever your answer is its true (smoothly) in some dimensions but not others so 
Ouch yeah okay
Okay with this and the previous things I feel satisfied thank you all
what is a laplace transform
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
!nogpt read this
Please do not trust ChatGPT or similar AI tools for mathematical tasks, as they often generate output which "sounds correct" but has numerous factual or logical errors. Use of these AI tools to answer other people's help questions is strictly against server rules (see #rules).
Oh weird
I thought since ChatGPT has the ability to look up Ways problems are solved. It would know how to do it.
Remove NSFW links from your bio please, this isn't appropriate to have in a SFW academic server
my b i just got here
All good, thank you :)
Its for another server
I wish i had nitro loll
anyways
Are there any people i can pay to help me out with all of these worksheets that are due tomorrow
Or is that against the rules
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
It's not a big deal, if you want you can always use #chill too
I'm going to bed in a second anyway it's 1am
Well its alot of worksheets, Iβve 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 theyβre not available since itβs finals week
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
Oh we are in the same timezone, you are in Australia?
Yep lol
dozens of us
Keep forgetting lol
I donβt have enough time to wait one by one
Because LLMs are not reliable when it comes to logic and reasoning
That's not what the models were designed to do
But you would think to solve a equation it would just use chegg or something similar to learn and then spit out the solutions
Why would you think that?
how it works is similar to predictive text
So then it wouldnβt technically be AI
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
roughly speaking
So it just compares everything and picks the closest thing
what it thinks is the closest thing more like
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
kinda like your phone autocorrect except more sophisticated and trained on heaps of data
the model itself is also ridiculously huge
I heard
Itβs interesting how it canβt process that though
But i guess this being the beginning then that makes sense
So when my professor made those answers up it canβt figure out what to do?
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)
Hmm
Well okay realistically speaking should i drop the class at this point then π₯²
Cause i thought i was gonna be able to do all of it
Lowkey
I just need to hear it ig
yeah I believe so
Hello
1/2+1/4+1/8+1/16...+1/n=1
An infinite series of numbers can add up to a number
Is there a possibility that a finite series can add up to infinity?
I was thinking about 1/0=infinity
But proving it is not easy
1/0 tries to be -infinity and infinity at the same time
It's undefined
how do yall get simple defs of concepts for recall?
Quizlet etc
Anki is more professional if you don't mind investing a bit of time and energy
I LOVE LLMS
semantic spaces my beloved πππ
i think that's genuinely gonna be such a useful paradigm in neurology
visualizing each qualia based semantic vector in a high dimensional space gave me such a useful mental model for understanding consciousness better
\int costheta/sin^4theta +5sin^2theta +6,
can the answer be ln(sin^2theta+2)/2-ln(sin^2theta+3)/2+C?
$\int{(cos\thetasin^4\theta +5sin^2\theta +6) d\theta,
\text{can the answer be} \frac{ln(sin^2\theta+2)}{2}-\frac{ln(sin^2\theta+3)}{2}+C}$
Nyxzore
Compile Error! Click the
reaction for more information.
(You may edit your message to recompile.)
Hi everyone
I'm new here and i want to learn new thing i'm content writer and off page seo expert and u?
cool, what do you wanna learn?
Iβm 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! πβοΈ
Well you certainly have the seo part down
I recommend the Collatz conjecture, Riemann Hypothesis, and refutations of Cantor's diagonal argument
There's a lot of people that would line up to explain to them why .9999... neq 1
wdym
.remindme 7h userscript
Created reminder userscript (#serious-discussion message) for <t:1734731516:f>
what do we do if theres an irrational number as an exponent frπ
~~ Give up and become a welder~~
makes sense
Less jokingly, we approximate the irrational using rational numbers
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 $2^\pi$.
Outsider
That's not exactly how e.g. computers do it, but it's a similar principle
Luh Roub
$2^{3.1} = 2^{\frac{31}{10}} = \sqrt[10]{2^{31}}$
Outsider
is it just $2^3 \cdot 2^{0.1}$
Luh Roub
Luh Roub
It's fine
so that would be our answer?
Hi
Well, that's the value of $2^{3.1}$, so it's going to be close to $2^{\pi}$, but not exactly equal
Outsider
yea
approx
can we somehow use limits?
Like
Idk
$\lim_{xβΟ} 2^x$
what happend
$\lim_{x β \pi} 2^x$
Luh Roub
Luh Roub
\[\lim_{x \to \pi} 2^x\]
Exactly that
Ryc's Red Nose
tysm
so uh
Could we jus say
uhhhhh
need to think
Use supremums 
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 $a^b = e^{b\log a}$.
Outsider
$2^3 \cdot \sqrt[10] {2^{14159265}}$
Luh Roub
Wrong degree of the root.
why is that the case
Because $3.14159265$ isn't $\frac{314159265}{10}$
Outsider
im unfortunately not at that level of maths yet
to understand what you said

But the 3 is outside
I'm mostly throwing this as a bit of trivia
To be honest I'm going to struggle to explain irrational exponentiation to you if you're shaky with fractions

Ill try my best
go ahead
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
wait
oh true
i misread that
damn
cant believe that
$2^3 \cdot \sqrt[100000000] {2^{14159265}}$
Luh Roub
I didn't count the zeros, but it seems more reasonable
Wanna continue?
Can't just now, but here's more info (and references): https://en.wikipedia.org/wiki/Exponentiation#Real_exponents
Alrighty tysm fr
are there any splines that conserve length even when their tangents and their end points change??
@unborn meteor asked to be reminded <t:1734706316:R>, userscript
Wym
How can you conserve length and change endpoints?
So $1$ + $1$ = $2$
97jj

0 if it was the finite field F2 
$x^3$ + $x^2$ = $97$
97jj
x^2(x+1)=97 but 97 is prime so there are no integer solutions π
You are probably aware, but you don't have to enclose just the numbers in the equation.
@wary dagger ^
$x^3 + x^2 = 97$
OmnipotentEntity
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
Consider the set of points ${(q,0): q\in\bQ}\cup{(q+\sqrt{2},1),q\in\bQ}$, there will be no continuous function whose graph passes through all those points.
Outsider
Why is that if I may ask?
Oh nvm I see why
Sequential criterion of continuity
Thanks
Yeah, any continuous function which would be 0 at all the rationals, would need to be 0 everywhere
Bro why i cant even solve basic statistic story question. My problem solving skill is rotten at this point
Gonna go grab soil from the garden plot (I have permission) for my mint plant today βͺβ«β¬
I guess that means it's surviving so far π
something like a wire???
uh so this isnt math stuff but i stidy biomedical science and if any of u know Iβve been reading about cell signaling pathways, but I still donβt get how the second messengers actually work
I understand that theyβre involved in transmitting signals inside the cell, but how do they really function to trigger changes? Itβs a bit unclear to me
Is there any difference between proper subset and proper superset cause I see none
well they talk about different things
A is a proper subset of B if and only if B is a proper superset of A
I see
How to increase problem solving skill π
Solve more problems
Even if the problems takes hours for me to answer? π
Depends on your goal
Undergrad math problems do usually take several hours to solve for a beginner
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
It is for college entrance exam π₯²
Right, I don't advise learning to solve exam questions only
Use noggin
Try to understand the concepts, too
My brain isn't braining when answering
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 xΒ² - ax + b = 0 being applied in real life π
Please I need help understanding the math π
Pictures help
The beauty of maths is it doesn't need to be related to the real world
The roots are symmetric across the line of symmetry, x = -b/(2a)
Cause the ideal gas law is like for a uniform low speed gas
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
Imma have to try that method of studying later, thanks
Yeah like that's how you draw the sign diagram
Look at if the x^2 term is positive or negative
<@&268886789983436800>
I think i get the general idea
Mod can see deleted messages btw 
Do you want a girlfriend???????
/j

The one who knows about theory of nonsense 
you might have them hidden under "Channels & Roles"
enabling this should show them if so
Yes
<@&268886789983436800>
why is there always another mod ping
Usersβ¦
woa so many mod pings
for something that moderators dealt which is why it's removed from chat
don't ping me for this
uh sorry
why are you 2 people at the same time rn
you said you change nicknames but now you're using 2
Welcome to alter blurring and cofronting
bro
and well, it only gets more confusing from here
so the amount that you are a person isn't an integer?
Nope :)
yes
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
let's just leave it at "our dating life is chaos"
lmao
NOPE NOPE NOPE NOPE NOPE
just fucking hope it doesn't happen when you're...uhm...doing stuff with people
literally us rn fr fr (I'm pan, Eliza is ace) and uh...it's confusing
acesexual?
asexual, yeah
that would cause a big problem
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
UhhhHHHHHH
When we switch like that we're generally just talking with people, oh and this type of thing only becomes a (very annoying) problem when we're rapidswitching alters due to stress
hmm
why?
check edit
but if you are in a relationship with someone (if you ever had), do all your personalities are in love with that person?
well, it gets very very complicated
i can imagine
(some of us have outright different ages, and like I'm not even gonna get into this)
alter age depends on when they formed, types of trauma, etc...
I have no idea
i think it does
tldr DID is caused by repeated severe childhood trauma
bc E increases life expectancy
maybe for people with different personalities their intelligence can change i guess
and maturity
Welcome to why we struggle with every single bloody class
whats a bloody class
I love dissociative amnesia I love dissociative amnesia I love dissociative amnesia I love dissociative amnesia
bloody (insult)
ok
a regular class when the teacher goes insane
yeah that must be a shit
imagine you finally learn something and then you unlearns it
Less unlearn, more "oh shit we can't transfer memories"
to make sure you will pass in a test you have to study in every of your 20 personalities π
you must unlearn what you have learned, and then learn it again! (please get this reference)
lmao
Nope! Just hope to all existence me (Ryan) or Astrid are the ones fronting
(which from my experience happens more than 95% of the time)
i'm actually the one grading their tests so i know for sure

We're frontstuck as hell most of the time, so you're not wrong
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
that's an advantage?
yes i guess because theoretically for any debate you would be able to find the correct opinion
"correct opinion" is an oxymoron
here's us talking w/ one of our other friends who has DID about switch stuff from earlier today
No this is HELL
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
it's cool until it's not π€―
a convo between 70 people
it's not fun when your entire mental state crashes alongside it and then you're sobbing, blurry, depressed, and confused for daaaays
bro made a group chat with more than 10 members
no, just their host Izzy and Eliza from our system
that might be crazy like you can be happy and sad at the same time
YEP
FUCK THAT FEELING
IT'S AWFUL
wait
is it a convo between people of your system?
no, Izzy is the host of the system of the person we were dming
or is it you and another physical person (another system)
the host?
why are they the host?
did yall make an election?
WAIT ALSO
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
HOW DO YOU VOTE FOR PREDISENT
genius
ours is...uh...dangerously close to anarchy half the time
lol
wasn't izzy the host?
oh
it's the host of the other system yall were talking to
now i got it
Our hosts have been
Ari -> Astrid -> Me -> Astrid -> Me
alters can't die
alters can split
Fusion is a thing
dragon ball
yeah it's...hell
it takes a lot out of us to split
thats crazy even the number of alters can chanfe
we started at 1 well over a decade ago
what if you actually have an uncountable number of personalities
welcome to polyfragmented systems
because the amount that you are in every one of them is a rea number
we actually know one irl
aint no way that exists
they're very kind, also into maths
suffer enough trauma, and well...enjoy a few hundred alters
WHAT
UNCOUNTABLE ALTERS
WHAT
HOW IS THAT PHYSICALLY POSSIBLE
about a negative number of them idk
not uncountable, but a lot
no
....no
bro but how tf do you know another did system irl? isnt that really really rare?
not very
its like 1% or something
well that's called being dead
lol
I mean being trans is pretty rare as well and I know a few all-trans friend groups
people seem to cluster
but did you find them randomly or did you search for them?
@true zinc How do you keep track of multiple personalities?
in the internet is easy like there's probably some discord server for trans people
it's this one
Do each of them manage to identify themselves?
i'm trans
O_o among which population?
global
I've seen 0.5-2% usually
and yet it does
Not that much tho
Like we are not in the 70s anymore
in this server... see #discussion message
i mean a trans community server, maybe for people who suffer judgement and want a place with people that understand their feelings
I'd say government statistics in Western countries will be accurate
If anything the older generation will be undercounted
this is basically a trans community server
no way
it's only one chat tho
Pluralkit bot, notes on our phone mainly, etc...
Oh wow. That's awesome, but it sounds stressful as well.
theres trans discussions in the rest of the channels too
yeah but they are for any topic
but like at least 30% of the active users here are trans
i wonder why
i do too
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
This is a mathemagics server. I think there are much better places for that type of community
I think it's moreso that there is a relationship between gender dysphoria and autism, and a connection between autism and mathematics
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?
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
we have many dedicated math channels with lots of in depth math discussion
the discussion channels are the social channels
Not arguing against that
That's fine, every server has general/chat/discussion and friends lol
this doesnβt sound right
like not even close
It sounds within two orders of magnitude of being correct.
that'd lead to arguements of a vocal minority here
this is old data but i dont think it changed significantly
(data from 2022)
wait wrong data 
this one
(there is ofc the issue that straight people do not know what cisgender means, explaining why this is so low)
what's that
data collected from the last server survey
Did the results in any meaningful way impact the direction of the server, or was it merely for curiosity?
well, the results and some additional commentary from server staff are publicly available
relevant section is Discussion of feedback
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
30% being trans was my bit from 2 months ago
How is your work on automating decision making going
You can't automate tree-like resolution in better than O(n^O(log n)) time without the exponential time hypothesis being wrong.
its a lot of work for marginal (if any) benefit
there might be future surveys, the main reason they arent happening is nobody wants to do that work i think
What are some real genius that you guys might have seen? Extremely curious.
just the other day
Hi
Well I think she was saying something in chat before about it
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
chat do you think i could still do it π
makes sense ig
just read 6 books in 10 days. Lock inπ
Imagine not averaging a book a week
bro's flexing reading
I gotta read for high ability classππΎ
thisimage ahh flex
whycan people with undergraduate math role send media here
Yes
Bro i hate math π
π€¨
bro why is old jerma fighting new jerma
he's fighting his demons
manhwa doesnt count
and you are on mathematics groupπ
impressive amount of yaoi
yaoi is awesome

You can partake in a mathematics group without enjoying it, maybe they're here to learn and eventually enjoy maths

I should read more yaoi ngl
Last year was my ABO phase
Now we're in the yaoi smut phase π
None of these words are in the bible
You're reading the wrong edition.
the important part is whether they're able to name at least three of its albums
LMAOOOOOOOOO
@sharp mulch why did u block me
Is this group abelian
I'm sure some of us commute 
Analysis is just a big scam by big small to get us to buy more small
Does this imply that Algebra is a good deal
GL_N(C) is a great group
Just like mathcord is a great group
The General Linear Groupβ¦
all mathematics is a pyramid scheme, you learn math to teach math later
no i thiks maths is like a tree
What is a tree but an upside-down pyramid
its a tree that has a treehouse with a plank that says "TOPOLOGISTS ONLY"
In Poland we have a tree specifically for topologists! https://pl.wikipedia.org/wiki/Topola
Topola (Populus L.) β rodzaj drzew z rodziny wierzbowatych (Salicaceae). WyrΓ³ΕΌnia siΔ w jego obrΔbie zwykle ok. 30β40 gatunkΓ³w, ale teΕΌ czasem znacznie wiΔcej (problemy taksonomiczne powoduje ΕatwoΕΔ krzyΕΌowania siΔ tych roΕlin i ich duΕΌa zmiennoΕΔ). ZasiΔg rodzaju obejmuje wszystkie kontynenty pΓ³Εkuli pΓ³Εnocnej i obszar od Arktyki po poΕudniowy...
why is poland the source of my suffering? (the annoying parts of functional analysis, measure theory and topology)
It's our revenge for the partitions and the Ribbentrop-Molotov pact
im catching stray bullets man im just algerian
also, polish people dont need their territory... they already have polish spaces
I love this gif, it's mine now
same, it's from the show Danger 5 btw
Yo
Do you mean like professional gymnasts?
Yeah
Like Simone Biles
Courtney tulloch is a uk gymnast
Yeah
I don't know her
Itβs a him
AHA YOURE POLISH
didn't we know that already
I was under the impression he was an American studying at Princeton
yep
π
I don't know him, but I know of Max Whitlock, Louis Smith, Beth Tweddle, etc
this all i know, idk literally anyone else
Nope
π«
π
I'm not into gymnastics that much
Viper is a gymnastics enthusiast
huh? π
It was sarcasm
β οΈ
You are indeed not a gymnastics enthusiast
indeed not
I also play the piano and violin
so do I :O
Oh nice!
Iβm playing gymnopedie no 1


I never knew that
i never brought it up ig
Anyways I need to get ready for work tomorrow so see you guys
a lot of songs called arabesque
Arabesque no 1
π
What
what what what what π€¨
Hey does someone know why I never find many resources in projective geometry?
It's the facial expressions for me
ππ... π... π
lol
if u know how to solve logs and exponentials try this fun equation r^2 y + (1-as)ln(m) = ln(x)
?
Cause it isnβt popular? Thatβs just pure speculation
Its popular
What specifically
well
well well well
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
second verse
same as the first
A little bit louder
and a whole lot worse

whore's lot worse you mean?
climb out of an 1000 foot with no tools, just bear hands.
Certification hell
no, I didn't
and don't say that
who gives a shit man, mods wont ban spam lol
to answer ur question become a plumber
its a good job
good salary
U dont need to be smart to do it
You need to have some strength though.
and the right tools
some even go on to do other things, like save princesses
And their brother is a data scientist
@solid snow
I am assuming you are a girl. Marry with some rich guy. You don't even need to work !

that's some advice to give smh
however, that's not how it works, usually π
I think i misunderstood her question

She wanna get successful career, rather than money only
yes career is the key word here I guess
Yeah. My bad, misunderstanding

calc 3 it is
Calculus? 
you could learn a trade that's one way
Im taking calc 3 next college semester
π³
starting a small business might be another but not a very reliable option these days
Cool
I haven't studied multi variable calculus probably 
After Lin alg
I will study
Kinda was tuff for me
I heard it helps a ton witj it
Oh. Yeah, i have studied it in analysis
Yeah


