#serious-discussion

1 messages · Page 360 of 1

near crypt
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yeah, don't know numerical integral?

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do a full Simpson’s Rule calculation numerically

rocky shuttle
near crypt
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yeah

rocky shuttle
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\[L \approx \frac{\pi}{6} \parens*{\sqrt{1 + \cos(0)^2} + 4 \sqrt{1 + \cos(\pi / 2)^2} + \sqrt{1 + \cos(\pi)^2}}\]
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is this correct?

fathom swallowBOT
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Zan (鹿乃 #1 Fan) ❀

299974051127099396.png
rocky shuttle
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,w (pi / 6) * (sqrt(1 + cos(0)^2) + 4 * sqrt(1 + cos(pi / 2)^2) + sqrt(1 + cos(pi)^2))

fathom swallowBOT
rocky shuttle
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hmm, what i got is about 3.58, did i make a mistake?

near crypt
#

nope

rocky shuttle
# 
\begin{align*}
L &\approx \frac{\pi}{6} \parens*{\sqrt{1 + \cos(0)^2} + 4 \sqrt{1 + \cos(\pi / 2)^2} + \sqrt{1 + \cos(\pi)^2}} \\
&= \frac{\pi}{6} \parens*{\sqrt{1 + 1^2} + 4 \sqrt{1 + 0^2} + \sqrt{1 + 1^2}} \\
&= \frac{\pi}{6} \parens*{4 + 2\sqrt{2}}
\end{align*}
fathom swallowBOT
#

Zan (鹿乃 #1 Fan) ❀

299974051127099396.png
near crypt
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your method is okay,

rocky shuttle
near crypt
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you are right, but using only 2 intervals slightly underestimates the arc length

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To get closer to the real arc length, increase the number of subintervals

rocky shuttle
near crypt
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4

rocky shuttle
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,w (pi / 12) * (sqrt(1 + cos(0)^2) + 4 * sqrt(1 + cos(pi / 4)^2) + 2 sqrt(1 + cos(pi / 2)^2) + 4 * sqrt(1 + cos(3 * pi / 4)^2) + sqrt(1 + cos(pi)^2))

near crypt
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good

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you are very exactly person

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n = 2 → L ≈ 3.57 (underestimate)

n = 4 → L ≈ 3.66

n = 10 → L ≈ 3.77

n = 100 → L ≈ 3.8197 → rounds to 3.82

rocky shuttle
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hmm, that's a lot to compute

near crypt
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This is a known number.

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only we can compute using program

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do u have experienced the Matlab

fathom swallowBOT
near crypt
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using that, it's easy to compute all of maths compute

rocky shuttle
near crypt
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cool

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you are very intelligence

rocky shuttle
near crypt
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yeah, it's only approximate value

rocky shuttle
near crypt
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you have learned convergence don't u?

rocky shuttle
rocky shuttle
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this integral looks simple, but i have no idea which technique i can use to compute it

near crypt
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it's elliptic integral, so we can't get the exact value.

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with elemantary method

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@rocky shuttle , understand?

rocky shuttle
rocky shuttle
near crypt
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yeah, what do u wanna know?

rocky shuttle
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what is an elliptic integral?

near crypt
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Elementary functions = polynomials, exponentials, logs, trig functions, and combinations of them
Elliptic integrals cannot be expressed exactly using only these functions

rocky shuttle
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and how do you know this is one

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@near crypt i have to go now, but thanks for your help and for your time! i'd love to discuss more next time if you're up for it

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welcome to the mathcord server btw, i didn't realize that you just joined today

near crypt
dull salmon
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When you try to troll but end up arguing with a bot for an hour.

round abyss
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freshman's dream is valid in finite fields F_p for exponent p

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more broadly in commutative rings of characteristic p (p prime)

brave crow
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epsilon is not the error term

stark silo
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Serious question, how do you hand-write rho so it doesn't look like p and confuse yourself? Same as nu vs v and eta vs n or even h?
For rho, do you curl the tail to the left or to the right?

clever bluff
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Right

deep mango
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rho does not, its a circle with a line connected only below, doesnt go above

neat lintel
deep mango
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this is important in fluid dynamics where p means pressure and rho means density, though many would suggest using capital P for pressure

stark silo
# deep mango

I also write p in two strokes, but I never gave it a serif like that, so I curl the tail of my rho instead

stark silo
deep mango
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my etas dont really look anything like my ns or hs. they have a long tail. my nu's are more rounded

image0.jpg
stark silo
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at first I was annoyed that the lecture uses u for velocity, but soon realised that since nu is kinematic viscosity, it's nice that velocity is not v

viral oracle
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oh oops

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my bad, thought it hasn't been answered

wintry current
wind gazelle
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how yall preparing for boards tho im icse btw😭

copper gyro
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Yo

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Does anyone want s OSC on Minecraft?

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Ik how to build one on java and bedrock

night garden
stark silo
viral oracle
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I am not about to mistake my rho for a q or a g lolz

rocky shuttle
# 
\[\varrho\]
fathom swallowBOT
#

Zan (鹿乃 #1 Fan) ❀

299974051127099396.png
brave flare
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i dont use rho

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if r is taken and i need another r-like i just do r' or something

fervent kite
#

Why are my DMs full of girls flirting 😭 I’m crying… respectfully, where are the big boys??

old oak
#

I mostly see women annoyed about unwanted attention from men, this is an interesting twist.

hollow quest
old oak
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It's been mostly cold minutes over here.

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Also, hello!

hollow quest
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Bonjour

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I thought this was the calculus channel

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I never thought I'd step foot in discussion

old oak
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The less bad one

hollow quest
#

Vacuously, because it's dead /s

old oak
#

Indeed, piss and quiet

night garden
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😅

keen osprey
topaz reef
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GM

keen osprey
topaz reef
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Hi

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Where are you from?

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@keen osprey How old?

keen osprey
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19

keen osprey
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North amerixa

topaz reef
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Which country?

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@keen osprey

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I'm from Canada.

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I'm 25

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@keen osprey

keen osprey
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But I’m not originally from there

topaz reef
keen osprey
topaz reef
keen osprey
keen osprey
topaz reef
keen osprey
keen osprey
topaz reef
keen osprey
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cotx/cosx = cosx

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It’s just manipulating expressions that gets me

topaz reef
# keen osprey cotx/cosx = cosx

Solution to cot(x)/cos(x) = cos(x)

Step 1: Rewrite cot(x) in terms of sine and cosine.
cot(x) = cos(x) / sin(x)

Step 2: Substitute into the equation.
(cos(x)/sin(x)) / cos(x) = cos(x)

Step 3: Simplify.
1/sin(x) = cos(x)

Step 4: Multiply both sides by sin(x).
1 = sin(x)cos(x)

Step 5: Use identity sin(x)cos(x) = (1/2)sin(2x).
(1/2)sin(2x) = 1
sin(2x) = 2

Since sine values must be between -1 and 1, sin(2x) = 2 is impossible.
Therefore, there is no real solution.

topaz reef
exotic fable
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uhm

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hi

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uhm... i need help with a math problem

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PQRS is a rhombus. If PR^2 + QS^2 = kPQ^2, determine k

hard oasis
hard oasis
neat lintel
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Speaking of AI, does anyone have a stance on the future of mathematics utilizing LLMs, in such a level of co-authoring them?

magic python
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I wouldn't with an LLM but computer aided proofs have existed for years

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Because an LLM is inherently bad for this, you'd want something capable of using logic and not predicting the next step, which we do have sorta, so yeah, I feel like AI could be utilized, just not the AI most people mean when they say AI

heady barn
#

Check out images

vivid halo
# neat lintel Speaking of AI, does anyone have a stance on the future of mathematics utilizing...

https://www.youtube.com/watch?v=jFJku8sxLWY

YouTube
Epoch AI
AI math capabilities could be jagged for a long time – Daniel Litt

Daniel Litt is a professor of mathematics at the University of Toronto. He has been a careful observer of AI’s progress toward accelerating mathematical discovery, sometimes skeptical and sometimes enthusiastic.

Topics we cover: the hardest problems models can solve today, whether there is convincing evidence that AI is speeding up math rese...

▶ Play video
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listen to my PhD advisor speak about this issue

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lots of good takes

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LLMs are not entirely useless for mathematics but they have very imbalanced capabilities, they are good at some things and completely useless at others

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they definitely become more useful when combined with other tools like computer proof assistants

silent junco
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although i dont really get to have an opinion on this yet

vivid halo
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yeah I mean ultimately the issue is whether these tools will be more convenient than not using them

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currently this isn't the case and the sorts of time savings are not so good for most tasks

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of course it would be really great if these tools could ultimately speed up the process of writing really detailed boring proofs which are not so conceptually clarifying

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currently these tools are sometimes able to help find valid proofs of certain hard problems, Tao has lots to say about this sort of thing which is much more optimistic than what most people have to say about the use of LLMs in mathematics

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but like these tools are really only good with things appearing in training data

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for lots of areas of research where new definitions are being made all the time, these tools are basically useless for reasoning about such things

loud python
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Holy wall of text

south notch
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Hey yall

neat lintel
# vivid halo https://www.youtube.com/watch?v=jFJku8sxLWY

I agree with the sentiment of using LLMs as an efficient search tool on related academic papers that follows a set of instructions. It will really save time for a lot of academics and students (me too 😭)

It seems he’s against the idea of LLMs having more value than mathematicians. That question on the millennium problems tho, I also agree it’s far stretched to assume AI will be able to solve them within decades with the slow progress of LLMs rn..

Quite an interview!! I haven’t thought about the cost to do a problem with a mathematician vs training LLMs to do that problem.

//as usual, bots/AI glazers are taking over the comments section

vivid halo
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like it's worth remembering what the actual job and value of mathematicians is

neat lintel
vivid halo
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if you think the only job of research mathematicians is to produce true statements, then yes maybe there is some worry that AI tools become better at this game in certain domains

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this isn't the only job of research mathematicians though, neither is it really the most important job

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like suppose you had some machine that would just instantly decide the truth value of any mathematical statement you give it (ignoring obvious issues of computability)

neat lintel
vivid halo
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I don't think this machine would necessarily be so useful for a lot of important things

potent gorge
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Eulers number - (1+9^-4^6*7)^3^2^85 ≈ 10^(-10^25.3)

winter obsidian
zealous garden
winter obsidian
#

What’s up

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How have u been

zealous garden
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Today has been a rough day

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One of those "throw up for 8 hours" days

winter obsidian
#

That sucks I’m sorry to hear

zealous garden
vivid halo
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I was his first PhD student in fact

fresh comet
winter obsidian
latent edge
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twitter advisor

jovial ember
vivid halo
jovial ember
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Didn’t he do something insane

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Related to cooking or something

warm gull
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Oh sorry that was from like 4 hours ago

vivid halo
# jovial ember Related to cooking or something

oh yeah when I hosted a friend for a few days on an air mattress in the empty space near the kitchen he woke up to make breakfast and didn't want to be rude by waking up my friend so he was incredibly weird about it and cooked breakfast in slow motion trying to avoid making the slightest noise

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but like my friend was awake by that point and was trying not to crack up while waiting to see how long this would go on for

zealous juniper
visual surge
#

Hi guys I have an interview for a collaborative doctoral training role in mathematical modelling. It's in 30 minutes. Any advice?

ripe dirge
#

Some days I feel I took the wrong major, while most of the times I feel I can understand it except at some places

steel vault
#

How to do can any one tell
Define web browser

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Fast

neat lintel
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web browsers are not fast

fresh comet
zealous garden
#

Maybe yours isn't

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If you think browsing the web is slow, try compiling Firefox from scratch on a fresh install of gentoo

brave flare
#

Hi wraith

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Just had the GMT exam got an A let's go

earnest salmon
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congrats!

pure hollow
earnest salmon
hollow slate
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How do I make an integrand on a TI-89 Titanium calculator?

brave flare
#

i asked thge prof if he does the other branch of GMT

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he said nope

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apparently they love it in finland though

earnest salmon
#

there's another branch of GMT?

little furnace
brave flare
#

thats what my course was focused on

earnest salmon
#

I see, interesting!

brave flare
#

not so much in depth on hausdorff dimensions and whatnot

fresh comet
fresh comet
little furnace
#

so helloooo haha

fresh comet
#

icic, it’s not at all often I see you outside of the main discussion channel hehe

little furnace
#

this looks very mathy

fresh comet
#

eh, discussion-2 isn’t so math focused either kLaugh

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the bar is just on the floor if your reference point is discussion catthimc

pure hollow
brave flare
latent edge
brave flare
#

honestly quite incredible

latent edge
#

real

old oak
#

They have played us for absolute fools

last aurora
# latent edge

How am I supposed to feel when I just joined the server and this is the first thing I see? blobcry

dawn cedar
slim hamlet
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Im having a hard time solving this and AIs intepret this differently. It's not for my homework or anything I'm literally in uni 2 lol but this is something I learned in the past but forgot and need help at it:

x−12​+x+23​=(x−1)(x+2)5x+1​

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anyone interested in showing me how to solve this?

dawn cedar
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Just a hint, have you combined like terms on the left?

slim hamlet
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2x +11 =

dawn cedar
#

Great then what do you get on the right side when you multiply everything out?

slim hamlet
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Im not sure how to do the right side, I forgot what there was hidden in between the brackets

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like plus/minus or div/multi

dawn cedar
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Okay so you do (x-1)(x + 2). For any thing where you have brackets like this: (x-a)(x+b) = x^2 +bx -ax -ab

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Do you see how to do that?

slim hamlet
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hmm let me try one second

dawn cedar
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If you need help I think it’s called FOIL, I’d search it up online

slim hamlet
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like this?

x^2 + 2x - x + 1

dawn cedar
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The last term should be -2, but everything else is right

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Now simplify all your terms, add stuff up and whatnot

slim hamlet
slim hamlet
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in total, 2x + 11 = x^2 + 2x - x - 2

11 = x^2 + 3x + 9

2 = x^2 + 3x

dawn cedar
#

Not quite

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So you should after what we did together have :

2x + 11 = (x^2 + x - 2)5x +1

slim hamlet
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oh.... omg I forgot that hahaha

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thank you for correcting, I'll try again

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so I got:

2x + 11 = (x^2 + x - 2)5x +1

11 = (x^2 + 3x - 2) 5x+1

11 = x^2 + 8x - 1

10 = x^2 + 8x

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@dawn cedar is this the correct way

dawn cedar
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Distribute the 5x;

2x + 11 = 5x^3 + 5x^2 -10x + 1

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Then subtract

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My hint is to get the left side to equal 0

slim hamlet
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Okay let me try

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got 5x^3 + 5x^2 - 8x - 10 = 0

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@dawn cedar how do I continue from here?

dawn cedar
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How did you get -8x?

slim hamlet
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oh my bad it should be 12x

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I forgot that step

dawn cedar
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Yep

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Now we find the zeros!

slim hamlet
#

so how do we do that professor

dawn cedar
#

Although this one isn’t fun

#

We have some sign issues here

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Let me look at what we did wrong

slim hamlet
#

Okayy

dawn cedar
#

We should get this

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-5 x^3 - 5 x^2 + 12 x + 10 = 0

slim hamlet
#

it's too bad that I can't share pictures here

#

I was going to send the picture of my whiteboard

dawn cedar
#

That’s alright

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Uh I recommend searching methods to solved cubics

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This one isn’t super nice like I thought it would be haha

slim hamlet
#

yeah lol

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we got confused here

slim hamlet
dawn cedar
#

Well there’s 3 answers for x since it’s degree 3

slim hamlet
#

maybe the teacher gave us this wrong?

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Let's just assume that the teacher intepreted this wrong, or gave us this without thinking on top of his head

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I don't want to waste your time

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but you've been helpful so thank you so much

dawn cedar
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Nono it’s doable, I’ll just be honest I haven’t solved cubics in awhile

dawn cedar
wraith shuttle
fresh comet
round wharf
#

Tf is go shogi

limber thunder
#

tldr strategy board games

fallow sonnet
#

Greatest hunter hunter battle was over a shogi match

stiff turtle
#

Well kinda

fresh comet
fervent moat
#

anyone interested in learning math in a chronological flavor ? to understand why and how not just how
i'm currently reading Euclid Elements Books rn , if anyone interested DM me

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i was already reading boyer's history of math but it was shallow , I just thought of why not studying math through history with reading modern alternatives or even reading the original translation to really know how math itself evolved

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they are great but nah to be honest i prefer my way of learning

jagged flint
#

Guys who is good in geomatry

frail juniper
#

First thing you do is combine like terms (the same terms)

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He showed you:

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2X + 11 = (X - 1)(X + 2)(5X + 1)

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Now you have to use something called the distributive property,

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For (X - 1)(X + 2). See the first X? (X - 1)?
Multiply that X by each content in the other parentheses which is (X + 2).
So X multiplied by X, plus X multiplied by 2. That gives you X(X) = X^2, X(2) = 2X.

So you have X^2 + 2X. Now see the second term?: (X - 1), now you need to multiply that by X, so -1(X) = -X (-1x is unnecessary), and -1(2) =-2. So you have -X - 2.

So now add those two results:
X^2 + 2X
- X - 2.

That gives us, X^2 - X - 2.

#

Multiply the same with the last parentheses

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That’s how you do distribution.

slim hamlet
slim hamlet
#

Something came up, I'll be doing this later will definitely ping you once I have done it

ashen plume
#

Do we get help in maths problems?

stark silo
#

I'm back with the subject of crappy greek letter variables (I'm doing fluid mechanics, okay), anyone else gives up learning to write xi?

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I'm fully just writing a quarter break from musical notation and pretend that that's xi

hushed widget
#

Lowkey

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The binomular isotopes present in the nucleonic field can not be represented in the radon format

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It's too rampant to cleologically contain in 5 dimensions alone. We need to observe the space between those variables and astronomically plot the mobius continuum in all key measures of existence if we WISH to expand the frontiers of physics

quick beacon
#

@regal wolf we don't allow surveys on this server.

regal wolf
quick beacon
# regal wolf oh my bad

Also trying to ping everyone in a server with a quarter million people is breathtakingly rude, fortunately we have that disabled.

regal wolf
round wharf
#

@quick beacon how many hours should be studied daily without internet?

slim hamlet
sonic sentinel
#

i have a friend in uni with md and she's been in and out of the hospital during the start of the semester due to some issues, all but one of the professors accepted to have her present online

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the one prof who didn't said that they weren't socializing if they were attending online

#

?? it's a writing class sybau 🥀🥀🥀

fading ember
#

I am following the book "introduction to mechanics" by Kleppner and Kolenkow.
Just started.

I downloaded some solution manual from Google , but i doubt whether the solutions in them are correct.

Can u suggest some source , from where I can check my answers or where I can see solutions of needed

quick beacon
viral oracle
#

well I had a bad experience of a 24-hour marathon before
0/10 wouldn't recommend

neat lintel
fresh comet
neat lintel
round wharf
#

shortcuts bad yes

#

Bruh???

vocal vessel
#

<@&268886789983436800> here too

ripe dirge
#

I have a theory, scientific progress is like a convergent series

#

real

stark silo
# fading ember I am following the book "introduction to mechanics" by Kleppner and Kolenkow. J...

I found the solution manual on google, the one you're probably using. On a cursory glance, the problems in chapter 1 up to 1.11 are all maths problems, so I'm sure the kind people here can help you with them if you have questions. The solutions to problems 1.15 to 1.21 seem legit though. Keep in mind, I didn't calculate them, this all just based on how they look and some standard formulas

stark silo
hoary cargo
#

Hey guys. I am currently reading the book Higher Algebra by Hall and Knight and the first 3 chapters are boring as hell but they do have some intersting stuff. Can someone tell me how I can skip the boring stuff and find the interesting stuff only without wasting any time?

neat lintel
#

You don’t

stark silo
#

Physics people use the darndest notations, ugh. I blame Newton. x(dot) is velocity (c) and x(dotdot) is acceleration. Physics notations are as bad as diagrams made by chemists

tight sequoia
#

Hello

hoary cargo
#

Are you sure there is no way?

neat lintel
#

You could try looking for alternative books

#

In the end, you have to go through it

hoary cargo
#

Bruh...

ripe dirge
#

Every HS student ever

stark silo
#

It's like wanting to play jazz trumpet without learning first learning scales and metric 😅 what do you want to hear?

hoary cargo
weak smelt
#

x^4 - 10x^3 + 35x^2 - 50x + 24 = 0

Any One can solve it

obtuse jasper
#

i need to come up with a hard maths question with a 3 digit answer, because it's my friend's birthday and he really likes maths, so I wanna come up with a question that he can solve. Could anyone help me?

odd pulsar
#

Hello guys can anybody recommend me websites that take latex input and output the rendered version immediately .. like quick copy paste

calm fulcrum
odd pulsar
#

thanks

shadow palm
#

@obtuse jasper welcome to Mathcord, new nerd. Enjoy your stay!

#

$x^4 - 10x^3 + 35x^2 - 50x + 24 = 0$

fathom swallowBOT
#

MikeP25

1043347947900899418.png
neat lintel
#

&x=5

elfin halo
#

Hi

#

Can anyone tell me 96x67+7 without using anything only hand

neat lintel
#

How can an ordinary person solve that using a hand??

fresh comet
calm fulcrum
rocky shuttle
fathom swallowBOT
rocky shuttle
#

I only used a hand for this

fresh comet
bold terrace
rocky shuttle
bold terrace
rocky shuttle
bold terrace
#

holy embed fail

#

corny

#

cornball

neat lintel
calm fulcrum
#

drug

pseudo cairn
#

and i got it right

pseudo cairn
calm fulcrum
#

YOU WENT TO IMO?

pseudo cairn
#

No no

calm fulcrum
#

oh

pseudo cairn
#

For my class exam TvT

#

Did u do IMO?

calm fulcrum
#

no

#

i didnt even qual aime 😭😭😭

pseudo cairn
#

I quit after grade 5 or 6- nvr got further from state lvl

calm fulcrum
#

better luck next time ig

pseudo cairn
#

Yeh mate- keep trying

near drum
#

Hello! New here. Would this be an appropriate place to get some tips on dealing with dyscalculia as an adult? Or directions on where to go for help?

We (we're a system, so we're referring to ourselves as a group) need to study in preparation for college math placement. We'd like to not have to take a bunch of non-credited courses if we can just study, take the one course, then be done with it.

We have resources, like Khan Academy and Cool Math, but structuring our studying is a big issue. Would love studying tips.

candid compass
# near drum Hello! New here. Would this be an appropriate place to get some tips on dealing ...

Hello! I don't have dyscalculia, but I've known people who have it.

I have a disability as well (which is now part of ASD), and what I do is I study everyday on Khan Academy. I do at least one lesson each day.

This depends on the college, but for me, I studied college algebra and trigonometry. Judging from my experience, you might want to get the hang of radicals, exponents, sin/cos/tan, etc.

storm nest
#

carrot over a variable? what do you pronounce it as?

frail juniper
near drum
# candid compass Hello! I don't have dyscalculia, but I've known people who have it. I have a di...

My course goal is "Math In Society":

Applies mathematics to contemporary issues. Topics include networks, scheduling, data analysis, and may also include voting methods, linear programming, game theory, growth and decay, or fair division problems. Designed for liberal arts students.

Been a long time since I've done radicals and exponents. Think it was one of the last things I learned before being freed from math until now. Looking at my game plan, it seems like I'll need to be starting from pre-algebra.

#

Will work on a schedule. This is 😬 gonna be rough. Hoping once I get a plan down I can then get help from tutors with maximizing the effects.

#

The biggest issue is trying to think of how to work around my disabilities, since I've tried "study a lot" for most of my academic life.

sharp mulch
storm nest
sharp mulch
#

â would be a hat

turbid sedge
#

hi gravels

turbid sedge
agile fiber
#

please stop spamming this invite.

pliant sorrel
#

Just ban bruh

snow anvil
#

Anyone?!

rocky yarrow
#

nobody

snow anvil
#

Cool

rocky yarrow
snow anvil
#

Yeah

#

Especially gamma Γ

rocky yarrow
snow anvil
#

Ask a Greek

rocky yarrow
#

where ar e u from

snow anvil
snow anvil
rocky yarrow
elfin halo
#

Hi

#

Hope yall have a nice day

fading ember
fading ember
gritty heath
near crypt
#

Hello, @everyone I need help of farmers.

#

if you are a farmer, I always welcome

fresh comet
rocky shuttle
knotty briar
#

me in 1st grade watching my big bro somehow managing to do 10 - 21 = -11

wraith magnet
knotty briar
#

algebra please stop making us find your x get over it already.

torpid bay
#

8th grade and doing PDEs huh

gritty heath
#

Pretty difficult equations

worldly horizon
gritty heath
#

I don't know if it's something to be congratulated about haha
But thanks

latent edge
#

Translation: congrats on being chronically online

gritty heath
#

To make it worse I only use the discussion channels so its really chronically online...

rocky shuttle
#

Translation: Condolences on being chronically online

fresh comet
worn oyster
#

i have a question

#

do geometric proofs piss u off or not

#

personally i feel they are torture

storm sage
#

I think they look cool

frail vigil
#

geometric proofs fucked me up during a math exam

#

i got everything in the algebra section correct

#

then came that shit

deep mango
#

So hot

silent junco
#

depends on what kind of geometry

#

analytic geometry and compass/straightedge stuff pmo

rocky shuttle
#

https://youtu.be/yoHR8qwuqmY?si=KiGB5_fgiEHfhtbH

YouTube
家の裏でマンボウが死んでるP / manbo-p
色恋沙汰は全て作図で解決可能であることの証明 ...

家の裏でマンボウが死んでるP（manbo-p）です。

少年は数学を愛していた。しかしさらに愛しているのは幼馴染の少女。
少年は数学の知識を利用して彼女に必死のアピールを繰り返すが……。

《ボーカル》：GUMI
《作詞・作曲》：タカハシヨウ
《イラスト》...

▶ Play video
merry kiln
#

Hi

latent edge
lethal elk
#

ya but like

#

aw

rocky shuttle
vast wraith
#

i like all kinds of geometry cat_uwu

grim flax
#

I dislike geometry

bronze pelican
severe cargo
#

hello

sharp silo
shadow palm
#

@rocky shuttle @bronze pelican
Happy Valentine's Day

bronze pelican
shadow palm
mossy field
#

,tex e

fathom swallowBOT
#

You need the manage guild permission to do this!

grim flax
#

e

fresh comet
fiery rivet
#

E is funnier

#

,tex E

fathom swallowBOT
shadow palm
quaint swallow
#

Hello 🤗

shadow palm
quaint swallow
#

Thank you 😘

lapis holly
#

Someone use feymann technique ?

bold sphinx
#

Do you guys use classic mathematics or stupid Feynman diagrams

#

Feynman diagrams is a shortcut and such a gay thing

#

@brave crow what do you think?

brave crow
#

so idk

bold sphinx
bold sphinx
brave crow
#

EE*

bold sphinx
#

Electrical engineering?

#

From where?

brave crow
#

Somewhere

bold sphinx
brave crow
#

I’d say Chem or Aerospace is

drifting axle
#

quick question, what are the possible reasons my postgrad role application got rejected?

silent junco
drifting axle
#

alright thanks

fervent kite
#

This server has everything except the one thing I need… a big boy

round abyss
#

????

sharp mulch
#

??????

magic python
dark grove
#

hey can anyone tell me - when you use \phi in Latex are you seeing closed phi or open phi?

sharp mulch
#

Compare $\phi$ to $\varphi$

fathom swallowBOT
#

守沢 千秋

265684637274210315.png
dark grove
#

so when I type \phi I see closed phi but then when I copy that from a pdf and put it into plaintext format I get open phi this is very odd

vivid halo
#

different font rendering probably

#

that or it's just encoded by a unicode character which is slightly wrong

agile fiber
#

it's likely that the pdf encoded it in unicode just as the greek letter phi U+03C6, and which variant font display it as is variable (usually the loopy φ as discord is doing), whereas it probably should have been encoded as U+03D5 ϕ "phi symbol", which is explicitly the straight form

hazy wind
#

Is anyone aware of what happened on one of the help channels, I have 71 pings but no ones mentioned me?

fresh comet
jagged forge
fresh comet
#

hi suremark nachoWaves

jagged forge
#

hru

fresh comet
#

did a whole lot of nothing today though ded

jagged forge
#

noice

#

sometimes a day of doing nothing is what u need fr

#

i tidied up my room, and have mostly just been sitting and listening to jazz on the couch

#

peak life fr

fresh comet
#

good job :>

tall rain
fresh comet
#

cupycake!! Wave

tall rain
fresh comet
#

been there EevCry

#

I believe in you though!! happy

tall rain
fresh comet
rocky shuttle
pure hollow
rocky shuttle
jagged forge
fiery rivet
latent edge
foggy meadow
#

@torpid bay did you ever figure more of it out, or is it cooked?

sterile bolt
#

@lean pebble

#

That was my old pfp

#

Something very similar

#

@bright matrix

#

New math just dropped

#

<@&268886789983436800>

#

Ban @cunning nimbus

thorn wren
#

In general we don't pursue moderation action against users who are not active in the server or havent been in a very long time. It is a waste of our resources

thin dew
bright matrix
scarlet harbor
#

Yo sup

sharp island
sharp sage
#

Furry

prime flume
#

stressed for my calc 3 midterm tmrw, how do i get past feeling like a larper

#

feels like everyone else lives and breathes math 😭

rich quail
prime flume
#

THANK UU

twin lance
prime flume
#

fixed problem i just had to wait for the sun to rise

shadow palm
#

@prime flume
Welcome to Mathcord, new nerd. Hope you enjoy your stay! :)

#

Fyi, am not a bot

prime flume
#

LOL

spiral tusk
#

you guys

#

I have a maths question for a definition, does that mean i should go to a help channel or just a maths dicussion channel

#

because its not a homework question is it

#

its more like a definition question

shadow palm
spiral tusk
#

okay

spiral tusk
cinder zephyr
#

lmfao

#

what class is it for?

spiral tusk
#

statistics a levels grade 12 uk

#

i dont get what test statistic and population parameters is in hypothesis testing

#

i have been googling and staring at notes for like the last 10 mins and i still dont get it

digital path
spiral tusk
digital path
#

Just a tick

#

My abd

#

Bad

night tendon
#

hellow

upper vine
#

can i talk rubbish here?

spiral tusk
spiral tusk
upper vine
spiral tusk
spiral tusk
dusty moth
#

man discussion 2 looks so chill

lime iris
warm plaza
#

T(X)

dry ferry
#

Salutations

sterile bolt
bright matrix
#

Hi friend

frank forum
#

Does anyone have any recommendations for animated series that has a narrative/plot similar to a live action drama

sharp mulch
#

What sort of live action drama

#

Japanese, chinese, korean, thai?

winged imp
#

Yo what does anyone think of 4D mathematics?

sharp mulch
#

It has one more dimension than 3d

old sonnet
#

what it look like

night garden
#

Math is very....

#

Garbage and amazing

gilded veldt
junior wing
#

@calm fulcrum im sorry

calm fulcrum
#

i forgive you

#

just dont do that next time

junior wing
#

Thank you

#

Ok

#

I guess my phone should calculate becaue my phone knows that e=2.718..

dusty moth
#

I have come to take shelter in discussion 2 to save myself from the brainrot that is discussion 1

noble tinsel
dusty moth
#

Original better

magic python
dusty moth
noble tinsel
magic python
#

GET BACK IN THE HOLE

torpid bay
#

going down the graph theory route kind didn't get me much, as depending on how you draw the dual graph, getting the dual of that doesn't seem to always get you back to where you were originally

#

which is something i missed the first time around somehow

#

I did find something tho, I don't necessarily have to use zeroes to classify functions' symmetries, I can use something slightly more general

#

but kinda more intersting as well

last turret
#

what do people drink slovak apple liquers with

#

I got it as a gift and it's quite nice and strong with a great after taste

#

so I don't want to waste it

#

I want to try stuff with this

#

but idk what to do

#

I have never tried any liqueurs made from apple before

#

is it not an appropriate topic here lmao

tight sequoia
#

Hi

boreal mason
foggy meadow
torpid bay
#

yep

foggy meadow
#

SL(2,Z)?

torpid bay
#

It's an idea I'm still working out, but if it does, then it can lead to this other idea which might actually be useful maybe

#

It's something else, but yeah I thought of relating C to matrices as well

#

lattice stuff

foggy meadow
#

Yeah I just wanted it for that fractal stuff.

#

I need a good way to talk about trees, and hyper trees.

#

I also don't know the best ways to go about computation on them

torpid bay
#

the idea was a generalization of the idea where I wanted to list the symmetries of a function by solely looking at its zeroes(specifically the permutations under symmetries), but of course that idea fails for e^x

#

the workaround is wip

foggy meadow
#

e^{x} what?

torpid bay
#

like, suppose we take f(z) = e^z, it has a bunch of symmetries, but no zeroes, so i cant use e^z 's zeroes to get at its symmetries like we did when looking at lacunaries the other day

foggy meadow
#

Well one of them isn't is just exp(2*pi*z + 1)?

torpid bay
#

yep

#

e^(z+2pik) : k in integers, and then e^(z^*) ^* as the second one

foggy meadow
#

what's *?

torpid bay
#

its what im using to denote complex conjugate

foggy meadow
#

ok

#

Also exp(2piz) + ik for any k \in R?

torpid bay
#

any z in C, any k in Z for e^(z+2piik) = e^z

foggy meadow
#

ok

foggy meadow
torpid bay
#

probably, i know nothing about words

#

allright, i've gotten the idea written out now.

foggy meadow
#

Well if I have a tree with some LR pathing, then it should have symmetries similar to the tree.

#

LRRRL is a path in a binary tree for example, then what's the mirror of this?

#

If it does solve questions like this, and is the same group type thing. Then technically it would be directly applicable to my stuff and more.

torpid bay
#

,,{} \text{A symmetry S on a function f shall be defined to be a transform } S:f\rightarrow g = Sf \ \text{Where } f(x) = Sf(x) \text{ for any x in the domain D that f acts on} \ \text{Suppose a function } f:A\rightarrow B \ \text{Let S be the set of symmetries of f on A. Suppose there is a k in B such that there exists at least one x in A such that } f(x) = k. \ \text{ Let } A_k \text{ be the set} {x\in A:f(x)=k} \ \text{If we then take a symmetry q, and act on f on A, then we will get the function } qf = g \ \text{ Now if we use this g on the set }A_k \text{ then because q is a symmetry of f, then }g(x) = f(y) \text{ for some x,y in }A_k \text{ In other words, the elements in the set }A_k \ \text{ will stay in }A_k \text{ and so any symmetry that acts on it will only ever make an element stay where it is or go over to another element}

fathom swallowBOT
#

Yeatte

333413361255448576.png
foggy meadow
torpid bay
#

yeah :\

#

bascially, if we have symmetries on the large domain D, and then take a very small subdomain D_k, where each of those map to a single number k after the function f is applied, then the symmetries of the complete f will not make any of the numbers in D_k leave

foggy meadow
#

Sounds confusing, dang.

torpid bay
#

ill give an example

#

let f(z) = z^2

#

and let Sf(z) = f(-z)

#

f(-z) = (-z)^2 = z^2, so its symmetry as required

#

and let us have k = 1, therefore we want the set of numbers such that f(x) = 1. ie we want the set 1 and -1

#

now, f(1) = 1^2, however the symmetry maps 1 to -1, which also squares to (1)^2, and -1 gets mapped to 1, which also squares to (-1)^2 = 1

foggy meadow
#

Okay that follows well.

torpid bay
#

so we ended up exactly permuted the elemnts of the set and not going outside of it

#

now, i want to instead go backwards, and use these permutations of these small sets to build the entire symmetry of the f over the larger domain, and naturally we can ask the question, what is the minimal set/minimal number of sets we need to fully identify all the symmetries of a function by using these permutations

#

I have a few more conditions i need to watch out for, and i think ill be set to answer that kinda thing

#

now time to do barely any math for the next 3 months to make up for the 7 good ideas ive had these past few days

foggy meadow
torpid bay
#

also, im pretty sure im messed up the symmetries for that one 3-tile aperigon, it needed 3 generators, not 2, and each one squares to the identity

#

and also completely noncommutative

foggy meadow
fresh comet
#

<@&268886789983436800> sent across multiple channels pikathink

grim flax
#

Doomed

torpid bay
#

aw, shame i missed it

hexed ether
hexed ether
# old sonnet what it look like

The 4th dimension looks like the 4th dimensions. A 4d being will most likely will evolve to have volumeric vision, so they will see their 4d world on a 3d volumeric retina. Which is actually what 3d projections of 4d objects are (for example that famous tesseract gif on wikipedia)

zealous garden
hexed ether
fervent seal
hexed ether
#

is this relates to sphere packing

#

For the longest time i did not know the 2d projective plane can be embeded in 4d, i thought it was only 5d

zealous garden
hexed ether
zealous garden
#

Do you know what a manifold is?

hexed ether
#

Yes

zealous garden
#

define it for me

hexed ether
#

I dont know the formal abstract definition

zealous garden
#

use your words

#

I'll give you one after that

hexed ether
#

Idk a surface defined with a metric or smth, maybe some other rules

zealous garden
#

A manifold is a (second-countable) locally euclidean hausdorff topological space

#

the informal description I use is that a manifold is something you could hypothetically cover in paper mache

#

locally euclidean means that around any point, you can find a homeomorphism from some (open) subset containing the point to R^m for some m

hexed ether
zealous garden
#

Hausdorff is a separability axiom, it says informally that two points can be distinguished. Formally, it says that given any two points p,q in T; there are disjoint open sets around p and q

#

so open sets P and Q with p in P , q in Q, and P cap Q = emptyset

#

there are other separability axioms, using different notions, but they aren't important rn

fresh comet
zealous garden
#

second countable, I'mma be real with you I forget what the hell this means

#

something about a countable basis?

fresh comet
zealous garden
#

Thanks higher!

#

Also

#

Ni Hao-gher!

fresh comet
#

higher! lisayay

hexed ether
zealous garden
#

asks NPC for work
"Oh imagine that, a Breton that wants to work."
doesn't give me any work

stark wave
#

こんにちは！ご機嫌いかが？

hexed ether
#

looks like a hacked account ngl

hexed ether
#

Oh hey i can read japanese (only hiragana unfortunately)

zealous garden
stark wave
zealous garden
hexed ether
#

do japanese really not use spaces

#

Messes with my brain

stark wave
#

にほんこくでは、わたしのようなやつがちょうりょうばっこしていますがあなたにきがいをあたえるそんざいではありませんよ

hexed ether
zealous garden
#

kek

#

So we have a topological manifold

#

our next desire is a differentiable or smooth manifold

stark wave
hexed ether
hexed ether
stark wave
#

ほならね、みなさんおげんきでおすごしくださんまし

zealous garden
shadow palm
#

<@&268886789983436800> non English chat

#

hey rays

silent junco
silent junco
shadow palm
silent junco
shadow palm
#

Still have hardly eaten

junior wing
shadow palm
#

@junior wing
Welcome to Mathcord, new nerd. Hope you enjoy your stay :)

junior wing
#

Wanna know something cool?

shadow palm
#

Sure

junior wing
#

I talked to the owner of mathmetics!

shadow palm
junior wing
#

Okay ill be right back

#

Aww i cant show images in discussion-2

shadow palm
junior wing
shadow palm
junior wing
#

Ohhh

placid shadow
#

I misclick double tapped react

junior wing
#

Nadat12

fathom lance
silent junco
#

what does that even mean. how can a language be fascist

fathom lance
#

unfortunately language can be used as a form of fascism and has been even in modern times such as Japan

ionic star
#

fascism is rigidity, little space for being creative

#

idk moon, but languages can be fascist

#

piraha is the quintessential example

silent junco
fathom lance
#

I just read the rules throughly and it doesn’t prohibit the discussion of history so I will just continue.

Japan, similar to many other countries, historically use chinese characters and still do. What’s funny about Japan is that they slaughtered countless lives across Asia during modern times, in brutal ways, and the fact that they continue to use chinese characters in their language is a slap in the face and a reminder of their fascism

ionic star
#

BlooP (bounded loop) is a fascist language by Hofstadter

uncut fossil
# fathom lance I just read the rules throughly and it doesn’t prohibit the discussion of histor...

As a Japanese, it is understandable that various countries hold differing interpretations of Japan's wartime actions. However, it is difficult to comprehend what connection kanji—introduced from China centuries before World War II, in the 3rd to 5th centuries, and developed uniquely within Japan ever since—could possibly have with Japan's wartime actions a mere 80 years ago.
Sorry for suddenly interrupting.

stark wave
#

I cried three liters.

tranquil dove
#

Finally discovered a new unknown math field after so long, listening to that something is missing feeling was worth it.

dusty moth
#

hello discussion 2 aka the cooler chat

green zephyr
west lily
#

math is a facist language

#

because its the language of the universe, therefore every language is its subset

vivid halo
cursive token
#

Fascist sheaf theorists are out to get you son

#

Grothendieck was a gangster communist but he was a major proponent of the language of sheaves. Checkmate

livid patio
sacred island
dire plank
urban vigil
oak trellis
#

i cant solve this math problem
a^2+b^2+c^2 = 42 then a,b,c equalc=?

vocal vessel
#

(±5, ±4, ±1)

near halo
latent edge
stark wave
#

日本人おるんかい

latent edge
vocal vessel
torpid bay
#

ah, japanese, i should really use those as variables some time

latent edge
#

Let 感 be a smooth projective variety of genus 1

vernal iron
torpid bay
#

oh another script thats nice looking is the language of nunavut

#

in northern canada

vernal iron
torpid bay
jaunty ibex
#

Forgot you were here Kenobi

torpid bay
#

i forgot there were multiple

#

hm

vernal iron
vocal vessel
#

And the baybayin writing system

vernal iron
jaunty ibex
jaunty ibex
#

I'm barely here too

vernal iron
#

I'm only here because someone called Japanese a facist language

jaunty ibex
#

#politics

vernal iron
#

Truly

#

Anyways it looks like that person is gone so I am off

#

Goodbye chat

jaunty ibex
fathom lance
#

considering people here to be educated; I would assume you understand that the japanese are a very unusual group of people. They copied chinese culture and language for hundreds of years, and then began to slaughter them as China grew weak during the 20th century

vocal vessel
fathom lance
#

it’s kind of funny how people on FB depict sanai takiachi as trump’s lapdog because without America, she wouldn’t be talking shit

fathom lance
#

I am here to respectfully discuss

vocal vessel
fathom lance
#

it’s not a good look for you

#

you automatically lose any credibility as soon as you throw insults, as a general rule of thumb

vocal vessel
#

Better than spewing hate fed to you by your parents about shit that happened a long ass time ago

#

But go off

fathom lance
vocal vessel
#

The Japanese slaughtered Chinese recently? Must have missed that news segment

#

You want to talk fascist languages, look at English.

#

You're just making excuses to be racist against Japanese because it was ingrained into you as a child.

fathom lance
#

you may have misunderstood what I’m saying

#

Japan is using the excuse of “an existential crisis” to defend Taiwan if China were to reunify with it. They used to same excuse 80 years ago to invade China and massacre its civilians

#

history is repeating itself, except this time China isn’t weak anymore

vocal vessel
#

Your issue is Japan defending Taiwan against China?

jagged forge
#

what am i reading

#

chinese propaganda i guess

vocal vessel
#

Some racist dude ranting about Japan

latent edge
#

Many such cases

fathom lance
vocal vessel
fathom lance
#

Japan isn’t saying it becuase they like Taiwan, they are saying it because China is taking over many key Japanese industries

#

Japans economy has been stagnant for years

#

and China is the reason behind it, which is why sanai taikaichi is promising things such as a “revival of the economy” which she can’t deliver

#

also, China has the ability to choke Japanese imports and exports, which it hasn’t done primarily due to pressure from the US

vocal vessel
#

A single horrible prime minister isn't representative of a whole country.

jagged forge
#

have u considered they’re saying it because they are also an island nation directly next to china

#

good god dude

fathom lance
#

why isn’t the Philippines, which is geographically closer to Taiwan

vocal vessel
#

She's a hideous bitch. Who cares what she says

fathom lance
#

Oh

#

I’m glad we agree

#

lol

vocal vessel
#

Her existence doesn't warrant you to be xenophobic against Japanese people or language

fathom lance
#

actually many young people are increasingly supportive of her

#

so I wouldn’t say she is an odd one out of the Japanese population

vocal vessel
torpid bay
#

what?

jagged forge
#

no one in the world is

#

i don’t know anything about the new prime minister of japan, sounds like she’s some kind of populist, but criticizing them for defending taiwan is the wrong leg to stand on

vocal vessel
jagged forge
#

we just need to turn the gays straight and japan’s birth rate crisis will be solved

vocal vessel
#

Cuz it's 100% not the lack of affordable childcare. Or the insane spike in cost of living... noo. Definitely the gays

rose hare
#

hii

wide blaze
#

hii

crude stone
crude stone
fathom lance
#

But chinese people have lived experience at the hands of fascist japan, so I dont blame them at all

fathom lance
#

these gifs aren’t cute

storm sage
#

Wait most Chinese people alive today do not have lived experience at the hands of fascist Japan

vocal vessel
fathom lance
quick beacon
#

????

storm sage
fathom lance
vocal vessel
hard oasis
#

I'm at a loss shrug

vocal vessel
#

This persons been on a crusade against Japan

storm sage
fathom lance
storm sage
#

Also there are a lot of apologies by the Japanese https://en.wikipedia.org/wiki/List_of_war_apology_statements_issued_by_Japan

List of war apology statements issued by Japan

This is a list of war apology statements issued by Japan regarding war crimes committed by the Empire of Japan during World War II. The statements were made at and after the end of World War II in Asia, from the 1950s to present day. Controversies remain to this day with some about the nature of the war crimes of the past and the appropriate per...

sharp mulch
#

I don't know all my friends/family based in mainland china seem very happy to visit japan still

storm sage
#

They might have sympathies or secondhand experience but mostly not lived experience

sharp mulch
#

Anyways this conversation has probably progressed past the point of being productive

vocal vessel
#

It never was productive. This person just started going off against Japan unprovoked because they saw Japanese language written.

quick beacon
#

Japan, similar to many other countries, historically use chinese characters and still do. What’s funny about Japan is that they slaughtered countless lives across Asia during modern times, in brutal ways, and the fact that they continue to use chinese characters in their language is a slap in the face and a reminder of their fascism

Wow. This is such a weird thing to say. Japan imported Chinese characters long, long before they went on Imperial conquests. The two have nothing to do with one another.

fathom lance
quick beacon
#

anyway, I see the objection now. aria, please calm your tits on Japan.

fathom lance
#

chinese people have deep pride which is the reason they resisted Japanese aggression in the first place, and is a reason why I I feel so proud as a chinese person

fathom lance
vocal vessel
#

Seethe quietly to yourself

hard oasis
#

Subtext: Japanese folks have no pride?
I guess y'all shall move on to another topic less prone to pointless debate, since you don't share the same opinions and don't intend to change that shrug

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That's becoming more and more unproductive

fathom lance
#

thanks

quick beacon
vocal vessel
crude stone
#

Im back

quick beacon
vast mango
#

Is anyone here from India class x cbse??

dusty moth
#

hello discussy 2

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i love everyone here

muted lichen
viral flower
#

chat being here has made me realize how little math I know and now I'm sad

bronze pelican
#

Part of the fun is learning new things

viral flower
#

that's a nice change of perspective

wooden pier
fallen mango
#

i thought the japanese

ionic star
#

did it work?

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"i think japanese therefore i am japanese" is not proven

unborn sandal
#

I begin looking at my first bit of difficult math and just feel so cooked

zealous garden
#

I'm so cooked I can't even do calculus

torpid bay
#

yo

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lil question

zealous garden
#

I've been sitting here for 20 minutes thinking "damn I need to do school work" and have done nothing

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just sitting here

torpid bay
#

what's the convention for log rules involving vectors?

zealous garden
#

you what

torpid bay
#

is it ln(xy) = ln(x) + ln(y) or is it something else?

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that would need ln(x) + ln(y) =ipi + ln(y) + ln(x) or smthn

zealous garden
#

exp(x)exp(y)=exp(x+y) i'm pretty sure iff x,y commute

torpid bay
#

wut if anticommute

zealous garden
#

then no

torpid bay
#

mm

zealous garden
#

exp(i)exp(j) neq exp(i+j)

torpid bay
#

ig that's not the worst

subtle vessel
#

@rocky shale your answer is correct but don't just post it, have OP make their own

rocky shale
#

oh okay 👍

shadow palm
#

@rocky shale
Welcome to Mathcord, new nerd

shadow palm
rocky shale
zealous garden
zealous garden
#

you're funny

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who?

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LMFAO

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if a mod asked that you might be justified in this inference

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you just single-handedly ensured I will never be mod

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recognition neq mod material, look at nG

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sylvester's law of inertia = geometric algebra

sharp sage
#

How do i prove a quadrilateral is circumscribable

rocky shale
torpid locust
#

who can help me in a math problem

short basalt
#

What is the level ?

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I can if it is my level or lower

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@torpid locust

jovial echo
#

i think they solved it

sharp sage
#

Uh i proved that the sum of opposite angles in a circumscribeable quadrilateral is always 180° or pi/2 rad if you like that, does that work too (i learned it in school and then proved it later)

torpid locust
#

Let K, L, and M be non-zero and distinct digits.

KLM

MKL

LMK

These three-digit natural numbers are divisible by 5, 9, and 4 respectively.

What is the product of K, L, and M?

gritty heath
torpid locust
jagged warren
ionic star
jaunty onyx
#

Yes

pulsar tree
hasty spire
#

Ramadan Mubarak!

urban vigil
#

That's not possible even with unlimited calculations

rugged fern
fresh comet
lime fractal
#

ello

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'igher

fresh comet
#

ello c:

fallow token
#

is there a server for chemistry and stuff like that

deep mango
gilded gulch
#

hiiiiiiiiiiiiiii

sour cove
#

is there a diff eq channel

jagged warren
velvet dagger
#

nHecke(G) needs to learn calculations aren't necessary to have a blessed Ramadan

latent edge
#

Ramadan Mubarak btw

fresh comet
wet rose
#

Do you guys think Chinese school’s standard is high?

zealous bronze
#

its very demanding, the standard of education is high but not that much higher than other countries

wet rose
#

In my own experience I think it depends on the city and the quality of the school

jovial flint
#

Hello guys

wet rose
#

Hi

jovial flint
#

I'm a 9th standard student

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I'm weak in maths

solar zinc
upper glade
#

hi everyone ◡̈

late crag
tacit ice
#

@late crag don’t just react and give me some gifs plz