#serious-discussion

1 messages · Page 505 of 1

dry copper
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How’s everyone

neat frost
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youre the nerd, nerd

maiden belfry
#

how much math is there?

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can you beat math?

odd narwhal
#

amogus

odd narwhal
fair mural
jade crane
#

Has anyone worked with a partner for an entire semester and not know their name

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I just realized I don’t know my partners name who I worked with for the entirety of my math modeling class on projects with bsully3

neat frost
#

And then you’ll be fine

alpine kindle
#

wait is wew muted devastation

neat frost
#

Yes

neat lintel
#

I can't say that's ever happened to me, but sorry for your loss

bright hill
#

for how long should you study math a day?
or rather, for how long do math majors study a day?

tender musk
inner finch
deep mango
#

being too mean to someone who asked for help i think

jade crane
#

sadcat elitism

blazing pawn
#

That and being mean to someone who answered them

neat lintel
#

am i allowed to cross post a question between servers?

mint patio
#

Between servers? LOL

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I don't think anyone cares

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Go for it

tribal dove
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“The derivative of x is 1” - 🤓

devout nacelle
neat lintel
#

i wouldve if i got help lol

#

i buckled down and got it myself though stealbread

devout nacelle
#

Good job

neat lintel
#

😄

west sundial
#

Genius

violet cloak
#

Just curious if anyone would know anything, but would there be such thing as a say a "roadmap" in terms of learning mathmatics? from basic high school algebra(pretty much where I left off) And going into / understanding more advance college level topics?

serene sigil
#

how the hell does one study when there are [massive world events] happening

terse flax
#

coz fuck world events

verbal pivot
#

agree

violet cloak
#

Ah that's fair

#

Thanks

neat lintel
neat lintel
toxic schooner
#

u can send more
just remove the embed so it takes less space

ancient geyser
#

hey

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$\lim{x \to 0} f(x) = \frac{sin{x}}{x}$

fathom swallowBOT
#

OreoFTW

ancient geyser
#

the answer to this is 1 right, but what if the function is sin(x+k)/x+k

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basically adding a constant

pale orchid
ancient geyser
#

hm okay

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felt like this would be a small ques for a help channel haha

pale orchid
#

that's what they're for

wind nest
#

Squeeze thereom

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Or just use lhopital like a boss

neat lintel
#

Can someone explain l’hopital to me

primal crater
bright hill
#

3b1b has a great video

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check out that video about limits, it's in the essence of calculus series

neat lintel
bright hill
#

uh

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sure

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one moment

#

Formal derivatives, the epsilon-delta definition, and why L'Hôpital's rule works.
Help fund future projects: https://www.patreon.com/3blue1brown
An equally valuable form of support is to simply share some of the videos.
Special thanks to these supporters: http://3b1b.co/lessons/limits#thanks
Home page: https://www.3blue1brown.com

--------------...

▶ Play video
neat lintel
#

tysm!

stray kite
#

is analysis enough as a prerequisite for a course in general topology?

blazing pawn
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Yes

loud iris
#

h gets so small

tribal dove
#

Is there such thing as an infinitesimally small number

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Like the first number after 0

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Wait no obv not

fair mural
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infinitesimals flonshed

cyan goblet
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if someone's good at physics please help 🙏

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not sure how to approach this

median zinc
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Maxwell's equation on induction

cyan goblet
fathom swallowBOT
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anamono

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anamono

toxic schooner
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without the external force, the answer is emf=BLV, so V=emf/BL
idr how to account for F

median zinc
#

yet another EM equation

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Lorentz Force

cyan goblet
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im gonna be real

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this is algebra based physics

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sully ik

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so yeah we haven't really learned any of that

median zinc
cyan goblet
#

i know calculus just dont know how to connect the ideas between the two yet

median zinc
cyan goblet
#

perhaps, or we're given some simplified version

median zinc
#

Yes, you are

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If so

cyan goblet
#

the equation sheet we're given doesn't have any curl operators

median zinc
#

Read your notes

cyan goblet
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unfortunately maxwell equations are not in the curriculum for AP Physics 2

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it is for AP Physics C, but i'm in 2

median zinc
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Read your notes

cyan goblet
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it can be assumed that im asking for help because my notes do not suffice

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if my notes sufficed i wouldnt be asking for help

median zinc
cyan goblet
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this is useful thank you

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i googled "Maxwell equations on induction" and only got information about maxwell equations, not motional emf

median zinc
#
stray kite
alpine kindle
tribal dove
#

it would be cool if desmos said f(15)=5

median zinc
#

You are not writing intervals, you are writing lists

stray kite
#

i think for intervals on desmos you have to use { only?

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or something like that

tribal dove
tender tulip
stone ferry
#

Mildly cursed limit: $\lim_{n \to -\infty ^ -}$

fathom swallowBOT
signal crescent
#

how

crystal stream
#

$\lim_{n \to \pi}$

fathom swallowBOT
wise vigil
#

It saying that you approach -inf from the left right?

ripe wasp
stone ferry
wise vigil
jade crane
#

is it normal for academic advisors to be absolutely useless sadcat the ones here literally just tell me the bare minimum to "graduate", their advice doesn't seem good. Like my professor who taught me analysis's course/topic suggestions are better than theirs.

vivid halo
#

yeah that's normal

velvet dagger
#

Fairly common. I honestly don't see a huuuge point in having so many academic advisors given that a catalog usually exists

neat lintel
brave idol
#

How do I prepare for MIT??

bright hill
#

I think they have a "what we look for" page

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I guess you could start by reading that

vivid talon
brave idol
vivid talon
#

I wish u all the best

brave idol
#

Thanks.

brave idol
vivid talon
#

I think he mean by this message "try to search and read about your question by yourself"

bright hill
#

wdym "wdym"?

brave idol
brave idol
fair mural
brave idol
#

?

devout nacelle
#

Why would they ask "wdym "wydm"" if they didn't know what "wdym" stands for lmao

brave idol
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Just realised

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Then what is he asking

devout nacelle
#

They probably wanted to ask which bit about what they said confused you

neat lintel
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I need some support

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A compact support uwucat

bright hill
brave idol
bright hill
#

I literally typed "what do we look for MIT" and it was the first result

brave idol
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i got like 80 links which were not from mit

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it was some weird indian website

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selling there guidelines

stable ginkgo
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Manipal>>>

brave idol
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?

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@stable ginkgo

stable ginkgo
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What do you want

brave idol
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you said manipal>>> wdym

stable ginkgo
#

I meant manipal is better than mit

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Check it out

brave idol
#

k

vagrant gull
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oh yeah I applied for MIT this year

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got deffered and will learn this march

vagrant gull
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got rejected from Olin

blazing bramble
#

I just had a weird though. What are the economics of n-dimensional real estate. I mean in a 4d universe, your house would need 2 more walls. Is it more expensive to buy a 4d house than a 3d one? Could a 4d house be smaller, as it has a higher square? cube? footage?

neat lintel
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if 4d space is way larger than 3d space

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and we already fit in 3d

blazing bramble
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I'm assuming the people in the 4d space are 4d as well

neat lintel
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lol

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scaling is funny topic

blazing bramble
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please ignore whatever other unrelated junk is entailed by that lol

neat lintel
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think about it this way

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imagine having a hyperplane in 3d

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isnt it super small compared to the vastness of 3d

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or better yet you can just use formulaic approaches

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imagine we are talking about distances for example

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and you want the diagonal of your room to be 70ft atleast, from opposite corners

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in 2d this just corresponds to having 50 ft walls if you live in a square

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in 3d it comes down to solving 70/sqrt(3)

neat lintel
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which is 40

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in 4d

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this is 35

blazing bramble
neat lintel
#

so where you would need 40 feet side cube to have 70 foot diagonal in 3d

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you only need 35 in 4d

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there are 6 walls in 3d

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so this means we need 40*6 feet of wall

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while in 4d we would need 35*8

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but this is assuming 4d people needs scale linearly with 3d people needs

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we know that if we were embedded in 4d we would take up a lot less space

blazing bramble
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well 35*8 is more than 40*6 so it would take up less space, but cost more meterial

neat lintel
#

but this is on a faulty assumption

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say a colony of ants need 40 square feet to live comfortably

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they dont need 40^1/3 foot walls in each direction 3d because ants are relatively 2d creatures

blazing bramble
neat lintel
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yeah

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like we dont build enormous ceilings for ants

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similarly our 4d walls dont need to be enormous

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so this would have an effect of shortening the less needed walls

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and still giving us the necessary protection from 4d world

bright hill
neat lintel
#

3d people can live in 4d house

bright hill
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coz otherwise, you'd have infinite number of houses

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the economy of real estate would collapse instantly

neat lintel
#

depending who owns what?

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if the world was run by 4d people

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3d people would be pets most likely

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similar to how people put insects in small cages

fair mural
#

idk if this is the worst or best conversation i’ve seen here

neat lintel
bright hill
#

the thing is

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we don't really have a 2d analogue to project

neat lintel
#

the closest thing we have are insects

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and how they dont need latge height containers to live

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and live in relatively flat environments

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or like microscopic life

bright hill
#

how about that japanese egg game which you could feed or whatever?

neat lintel
#

squid game?

bright hill
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no lol

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I forgot its name

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they're called digital pets

neat lintel
#

🤷

cyan goblet
#

tomogatchi?

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or something like that

fair mural
fair mural
bright hill
#

tamagotchi

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you were really close

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anyways

alpine kindle
cyan goblet
#

yes i was actually

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was trying to think of the name and the first thing that came to mind was tomodachi life

bright hill
#

fun fact: tomodachi means friend

cyan goblet
#

but i knew that wasnt it and i remember there was some g sound in it

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yeah that's why i guessed tomogatchi instead of tomodachi lol

alpine kindle
#

miitopia is a cool game

cyan goblet
#

RIP wiiverse 🙏

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urg time to go work out

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urgh urgh urgh

alpine kindle
#

mii games happy

bright hill
neat lintel
#

yeah

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its only meaningful if you have schizophrenia

blazing bramble
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lol

river linden
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we are 4d creatures 🙃

bright hill
#

we mean spatial dimensions

vast surge
#

I noticed a significant gap in the mathematical literature. Specifically, there are no wikihow guides for advanced mathematics. (ie, no "how to calculate the rank of an elliptic curve", no "how to calculate homotopy groups", no "how to calculate the ideal class group of a number ring" or "how to find the galois group of a polynomial"...)

long matrix
#

no "how to solve the riemann hypothesis" 😢

vast surge
#

Someone should add "solve the riemann hypothesis" to the "how to become a millionaire" page

fathom tendon
#

Is it common to have really bad imposter syndrome with math

ripe wasp
vast surge
novel vine
#

would someone be willing to help me in my channel

mellow moon
dire sandal
#

hey fellas

dire sandal
mellow moon
#

In the sense that a minor modification, can introduce a change of the whole theory

fathom tendon
mellow moon
#

a lot of time

dire sandal
#

you also have to remember that these people have devoted years themselves to do these things

#

and are still devoting years to understand higher maths than they know

charred mortar
#

I’ve found that a better way to approach it might be to reframe your thinking as “I’ll make sure I am on that level, to show that I deserve my position”

cyan goblet
#

am I supposed to know real analysis before reading Goldrei? #books-old doesn't list it as a prereq but he references real analysis a lot

modest rune
#

it is often assumed that real analysis is the first real math subject people learn

cyan goblet
#

shiit

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so should i go and read a real analysis textbook then come back to set theory

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ok actually i know most of this

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all i dont know is 1.1 to 1.3

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which i guess 1.1 is what's going on now in goldrei

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and 1.2

neat lintel
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also sorta backwards if you dont know 1.1-1.3 but know everything else

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its like u blackboxxed foundations

cyan goblet
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i guess "dont know" in the sense that i wasn't taught how real numbers were constructed

neat lintel
#

oh

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its pretty cool

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maybe cool is wrong word

dire sandal
#

real numbers are constructed from 2 + 2 = 4

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duh

cyan goblet
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lmfao yeah im reading about it in goldrei rn

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pretty cool

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topology has never once come up in my schooling

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IVT is apparently topological, but we were never taught the connection

neat lintel
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it isnt essential i guess

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yeah its topological

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i think it comes from this theorem about regular spaces?

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i forgot names though

modest rune
modest rune
#

effectively this is just a very weak form of the fact that continuous functions preserve connectedness

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it just so happens that connected subsets of R are just intervals

neat lintel
#

i need review );

river linden
#

hopefully he mentions that

blazing pawn
#

There are good intrinsic reasons why the definition of compactness makes sense

odd narwhal
blazing pawn
#

But they are more abstract I guess

odd narwhal
#

also compact always implies closed and bounded whenever boundedness makes sense

odd narwhal
#

???

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you can make any metric bounded

deep mango
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yes my favorite compact space is Q intersect [0, 1]

odd narwhal
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oh woops

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meant complete

deep mango
#

closed -> complete

odd narwhal
#

my b

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yeye

blazing pawn
deep mango
#

the vultures are descending. they smell a vocabulary mistake

odd narwhal
#

anyways my point was closed and bounded is not sufficient

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rescind your sully now

deep mango
odd narwhal
#

i'm so gonna ban you when I inevitably become mod

mint patio
#

mom, gran and gramps are fighting again

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🙄

deep mango
#

mods can't ban admins, and that's the only way you're gonna get mod catshrug

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am i gran or gramps

light needle
#

ur gran

mint patio
#

I will defer to John

deep mango
#

yeah i'd make a good grandma

odd narwhal
#

you're definitely gr

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gran

blazing pawn
#

I think its one of those situations where both of you are both

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rycope as per usual

mint patio
#

ryc did not like that one

deep mango
#

oh come on moth. fencey fencerton

mint patio
#

any shin sussy bakas

deep mango
#

😮‍💨

fair mural
#

feather what book are you using for probability hmmCat

blazing pawn
odd narwhal
#

some people in this server have a conspiracy theory that i'm actually a woman

mint patio
#

but I just read my prof's notes lol fuck that site it's so weird

blazing pawn
#

In the sense of like, suppose i have a property P. P might hold locally if theres some open cover of your space such that P holds on each set in the cover

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for a finite discrete set for example this is literally just checking P on every point

fair mural
deep mango
#

the really useful thing about this "checking properties on finitely many open sets" thing is that it lets you take local information and turn it into global information

blazing pawn
#

and many properties will then trivially extend to the whole space when working in the finite case

deep mango
#

for example, a continuous function on a compact set is actually uniformly continuous: if we know something about how much it varies it in each little ball, we find out something about how much it varies on the whole domain.

blazing pawn
#

compactness is kind of similar where if i have a local property P this means P holds on U1, ..., Un where the union of the U_i are X

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Its usually a lot easier to show that P holds on X if it holds on these finitely many U_i than it is for infinitely many

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I think the common example is that like real valued functions on compact sets are bounded

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This is extremely obvious if the set is finite

deep mango
#

yeah that's a good one

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(continuous real valued functions)

blazing pawn
#

Good thing that while ryc and shin were fighting like children i was making valuable contributions to the mathematics discord server.

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🙂

odd narwhal
#

like children?

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ryc started it

deep mango
blazing pawn
#

no one cares about metric spaces

deep mango
#

his was wrong, but

blazing pawn
#

Lmfao

deep mango
#

it was right in spirit

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every relevant topological space is either metrizable or a function space

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sorry, i'll revise that

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every relevant topological space is either CW or a function space

toxic schooner
#

CW?

deep mango
#

CW complexes are a type of space

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which are kind of like higher dimensional graphs

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you take a bunch of points, glue a bunch of lines to them, glue a bunch of disks onto the lines, glue a bunch of balls onto the disks, etc

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using such a construction you can make almost all of the usual nice topological spaces we want to understand

deep mango
#

for example, one way to make a sphere is to take two points, glue two lines to them, and then glue a disk on top and on bottom of the lines like this

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(the red pieces are two disks)

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so this is a CW structure for the sphere

toxic schooner
odd narwhal
deep mango
#

turns out that there's a whole machinery to understand the topology of CW complexes. you can compute different topological facts about your space if you think about it as a CW complex, since this lets you compute its homology

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lots of people ONLY care about CW complexes (and there's a whole lot of them too)

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unfortunately most spaces in functional analysis (infinite dimensional spaces of functions) are not CW and they're the only ones i care about

river linden
odd narwhal
#

closed bounded balls are not necessarily compact in a general metric space

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you can make any metric bounded by taking its minimum with 1 for example, and this makes every set bounded, but this won't make a non-compact space compact

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the stronger requirement is total boundedness, which means for every epsilon>0, you can cover you space with finitely many open balls of radius epsilon. This might sound similar to compactness, but it's quite a bit weaker given no extra assumptions

river linden
#

I'm taking about euclidean space and intuition here don't nitpick

odd narwhal
#

at no point did you make that clear, especially since before you claim that closed and bounded is equivalent to compact in a metric space, which is a false and somewhat misleading claim, even if it follows intuition. I'm not trying to call you out, i'm just trying to clarify a subtle distinction here for you and/or anyone who stumbles upon this discussion in the future

river linden
#

its fine, just everywhere in rudin we work with complete metric spaces which are subsets of R^n so i figured i dident need to mention it

odd narwhal
#

that's fair. I think generally when talking to someone who doesn't share the same background/base assumptions as you, it's better to be over specific than to be ambiguous and risk confusion as here. euclidean space is generally much more well-behaved, and things that feel intuitive and that indeed hold true in it sometimes don't even generalise to a broader class of metric spaces, so it's good to be precise when discussing these topics

#

well that's cleared up now, no point to dwell on it

deep mango
#

but i don't have a good way to argue this

empty sundial
#

What can i do with spare 5k savings?

leaden torrent
#

invest it

stray kite
#

send it to me

river linden
#

buy 5 textbooks

alpine kindle
#

ok you have 5k left

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now what do you do

river linden
#

buy more textbooks :)

neat frost
#

5k? Obviously the only rational thing to do is to invest in some NFTs sotrue

empty sundial
#

Oh god

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😂

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Hmm

sick burrow
#

Honestly just save it

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Or invest it but I don't know investing that well

modest rune
#

just invest in the S&P if you dont need liquidity

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if you want to be as lazy/safe as possible

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(i am not a financial adviser dont sue me)

velvet dagger
#

Suing you for not being a financial advisor

median zinc
#

S&P500 moment

river linden
#

lol

modest rune
#

what is this supposed to show lol

median zinc
#

loss

modest rune
#

over 2 hours lmfao

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this is a real SP 500 moment

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Compare with inflation of 14% over the same period

bright hill
#

whoa

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that's really cool

modest rune
#

for 99% of people, the best possible way to invest is to invest as boringly as possible and not touch it

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i still don't know what you are trying to show

median zinc
#

It's a joke

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It's half a joke

modest rune
#

i dont see the joke

median zinc
#

The joke is, you'd lose money if you actually bought S&P500

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high chance at least

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for past few weeks

modest rune
#

That is completely untrue lol

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sure

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past few weeks

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investing on that scale is incredibly dumb though

median zinc
#

not really

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there are a lot of S&P day traders

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That's intraday scale

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not even weeks

modest rune
#

Day trading is not what I am suggesting at all, though

median zinc
#

Anyway S&P500 has a high CAGR

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clearly visible for every year

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so

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yeah I mean

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sure beats the 10-year treasury yield

modest rune
#

didnt it also beat like

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50% of hedgefunds over the last decade or something

median zinc
#

It beats a lot of active traders

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And well, hedge funders are generally, not passive traders

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But like I'm always hearing of algotraders making bank

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No clue who to believe

modest rune
#

personally i believe data, so these hedge funds or algotraders with limited disclosures don't mean much to me

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im sure there are outliers making bank

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but at the end of the day, I doubt i could be one, so i just invest boringly, imo

leaden torrent
#

day trading as an everyman is essentially gambling fwiw

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thats like

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the whole point

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its gambling where the margins are, on the margin, better than a las vegas casino (at least until an economic crash) sure

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but its still gambling

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if youre working at a hedge fund with an army of specialists and ML algorithms on your side then thats different

bright hill
#

ML sotrue

zealous raven
#

by any chance does anyone here own a Surface Pen? please ping me if you do ||otherwise ignore this messageblobsweat||

deep mango
waxen lily
#

i doubt we have the same one

cyan goblet
#

<@&268886789983436800>

tall badge
#

b&

cyan goblet
#

had to pronounce that out loud to get it

stray kite
#

bampersand

bright hill
#

ye

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I don't get it either

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bro stop spamming this everywhere

#

generally, I think sending almost exactly the same thing in 3 different channels is considered as spam

ancient flame
#

it's generally accepted as spam

frozen merlin
#

the g module has spoken

blazing pawn
#

Stop posting this over and over again please

waxen lily
#

why man

blazing pawn
vague lily
#

well

waxen lily
#

its like, very mildly pleasing to look at for 2 seconds

vague lily
#

discussion about shapes

waxen lily
#

does anyone know of something similar to picks theorem in 3d?

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somethin hat makes calculating volume ez

stray kite
#

is there anyway to get a more uh "geometric" feel for topology? im just beginning reading

neat lintel
#

for finite topologies

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you can draw open sets

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then for other topologies it might be more useful to understand them in terms of their basis

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all in all it depends on the context and since the subject is big on studying the structure of space it is very visual at its fundementals, but lots of extrapolation is made to not think of the visual later on

modest rune
#

lee ISM would be helpful for geometric intuition

bronze pelican
#

Thats kinda sick

ancient flame
neat lintel
sick burrow
#

holy fuck

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pinging mod mail

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this is a new one

ancient flame
#

pings a bot

sick burrow
#

wait does pinging modmail alert the mods

ancient flame
#

YOU'RE WELCOME

sick burrow
#

or does jut DMing them

ancient flame
#

emergent

sick burrow
#

a/b

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wait no

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just a

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misread the question

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ok call it n

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see if this helps

neat lintel
#

go to the goddamn help channel

ancient flame
#

yeah that picture should help u w the answer

sick burrow
#

read

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PLEASE

ancient flame
#

this is very applicable

#

@sick burrow

sick burrow
#

is it?

#

that pfp doesn't scream "child" to me

ancient flame
#

idk it's a derpy pfp lol

#

imo at least

sick burrow
#

so is frogN

ancient flame
#

true

deep mango
#

I wonder what my profile pic screams

neat lintel
#

annoyed birb

sick burrow
#

most pfps don't tell me much about the person

#

but a few really do

#

like childish pfp = child, ape pfp = cringe, picrew pfp = trans

neat lintel
#

anime pfp = either super cool or neckbeard

sick burrow
#

anime pfp = terminally online

#

I feel like it's anime girl pfps that are the most polarizing

#

with who has them

neat lintel
#

true

sick burrow
#

because two of the main demographics there are "anime girl pfp because goals" and "anime girl pfp because waifu"

#

which have radically different personalities associated with them

neat lintel
#

i have anime girl pfp because it's cute

#

no waifu cringe

sick burrow
#

that's like on thin ice in my eyes

#

the anime girl = cute thing has always felt a little strange in my eyes

deep mango
#

Chmonkey cringe

fair mural
#

does that imply you wanna be an anime girl?

jovial ember
terse ether
#

hey

bright hill
#

barges into conversation, uninvited
declares Chmonkey cringe
refuses to elaborate
leaves

#

fuckin' sigma

deep mango
#

what do i need to elaborate on...

deep mango
#

this is none of my business

bright hill
#

anime pfp = ???

deep mango
#

animal pfp is a bimodal distribution on the normie axis

bright hill
#

,av dazai

fathom swallowBOT
#
Dazai#4565's Avatar

Click here to view the image.

bright hill
#

yohan is a girl?

neat lintel
fading pulsar
#

You win

neat lintel
#

I know

loud iris
waxen lily
#

a portal to another dimension

gilded loom
#

could anyone here possibly help me with a digital design circuit question?

toxic schooner
bright moat
#

Can someone advise me on math classes? Cause my school allows people to jump grades in math. I'm G8 currently.

Should I move into G9 this year or just try to bump up to G10+ in G9?
Cause G8's almost over

But idk if I can make it to 10 in 9 since I never took the classes. If I decide to take 9, I'll be barely through by the end of the school year which means they might not raise it.

11 is going to be hard since I don't have any particularly official G10 material

But making a jump straight from 8 to 10 is going to be a bit hard.

And even if I make 10, it's going to be a lil too easy

It's not even guaranteed that they'll raise me, although I think with my current teacher's help, I might be able to.

What do I do.

#

jump rn, or jump later and further with the risk not being raised

vast surge
#

It's generally considered rude to take more than one channel

bright moat
vast surge
#

That said, I don't know what G9 or G10 means in this context, so good luck.

bright moat
#

Grade

vast surge
#

Sure. What do you do in 9th grade or 10th grade?

#

This is a very international server, and we have no way of knowing the education system where you are. Especially because it often varies even within countries

bright moat
vast surge
#

Sweet. How standardized is the Canadian curriculum? Is it the same in Ottowa as it is in Quebec?

bright moat
#

(mainly because the order depends on the teacher)

vast surge
bright moat
vast surge
#

Talk with your teacher about it. They'll know your situation better than I would, certainly.

bright moat
#

probably a good idea

#

*apparently did not come along in their thoughts

#

thanks

vast surge
#

Oh my god wait were you seriously considering skipping a grade solely on the advice of potentially some rando you met on a discord server you probably only recently joined? Because if so, then please, do that, that'd be hilarious

bright moat
vast surge
#

I mean you can also just learn math on your own time and take the easier course for the easy A

#

Use Khan academy to teach yourself through to calculus or something, read free textbooks, watch Richard Borcherd's youtube channel

#

If you think your school is too easy, then it probably is, so that shouldn't be your primary mode of learning (rather, just proof that you learned the thing you wanted to). If you think skipping a grade will bring you to where you want to be, do that. Otherwise, teach yourself calculus and linear algebra and whatnot in your free time (the time that you otherwise would be spending on math homework if it was enough to challenge you).

bright moat
#

if I don't skip, it'll be another year of torture

#

;-;

#

but I'll still ask my teacher

vast surge
#

No it won't. It'll be a year of somewhat boring lectures that you power through or doodle in the margins during with maybe an hour a week of easy homework and then you spend your free time learning something hard enough to challenge you. Or watching YouTube videos of kittens being adorable, or doing something else. "My math classes are too easy, woe is me" is only torture if you let it be.

bright moat
#

The torture only comes when homework is there. I don't wanna spam do such work when I don't have to.
The reason I want to jump is because I don't have any clear curriculum to follow and I'm not learning to the same amount as anyone who actually took the classes. I just watched some random youtube video. Math won't be very clear when you learn logarithms before you even know anything first

vast surge
vast surge
#

Do exercises, speak with your teacher during... Do your teachers have office hours, or is that just a university thing?

bright moat
#

I can ask after school

#

she's usually there till 4 ish

vast surge
#

Oh and Khan Academy has good lectures. Go to khanacademy.com or whatever their site is and start working through it

#

You can do a lot with self-studying. The main issue is you'll lack someone to give you feedback, but khan academy does that and if you get on your teacher's good side they can do that (if they're qualified to teach 8th grade math they'll hopefully at least know what a derivative is, or will be able to direct you to someone who does). Worst case scenario you just ask questions on the internet in sketchy places like this full of weird 24 year olds who devote their lives to the cult of mathematics.

bright moat
vast surge
#

Well here's my avatar

#

,av zorn's lemon

fathom swallowBOT
#
Zorn's Lemon#1337's Avatar

Click here to view the image.

blazing pawn
vast surge
#

Or very intense sarcasm, I'll let you be the judge

bright moat
blazing pawn
#

Psychological projection is the process of misinterpreting what is "inside" as coming from "outside". It forms the basis of empathy by the projection of personal experiences to understand someone else's subjective world. In its malignant forms, it is a defense mechanism in which the ego defends itself against disowned and highly negative parts o...

vast surge
fathom swallowBOT
#

Esix, Fractal Bloom

bright moat
vast surge
#

I think the definition I was about to give was for a slightly special case anyway

#

Anyway don't actually take anything I say completely seriously and you'll be fine, but also don't disregard everything I said, because there was some well-meaning advice in there. Use your best judgement and critical thinking skills, basically.

bright moat
vast surge
#

IQ is kind of meaningless and mostly just exists to stigmatize certain peoplegroups.

bright moat
vast surge
#

You're right, it's a bloody good measure of your IQ. It just doesn't really tell you anything beyond that.

#

George Bush had one of the highest IQ scores of any president to have taken an IQ test (somewhere above 130 I think), and he was George Bush.

bright moat
bright moat
#

130?

#

oh, average of 125

#

i see

#

*googled

vast surge
#

Well it's a normal distribution with 100 as the average and a standard deviation is 15 points on the IQ test, so having 130 means you did a lot better than most people on the test.

deep mango
bright moat
bright moat
#

30 difference

#

but with that, there's a bigger chance that he ends up gfted than not

vast surge
#

Oh and Trump had an IQ of about 160, according to a quick internet search. Having a high IQ really does not mean you're smart.

bright moat
#

90 - 110 ish

vast surge
bright moat
#

oh right

#

quick question

#

what IQ or above would you consider high

vast surge
#

I mean yeah but the angle of your forehead was also supposed to measure intelligence and nobody takes phrenology seriously anymore.

bright moat
#

*ignore the swears

vast surge
#

The 19th century, though it continued into the early 20th.

bright moat
#

that be oof then

vast surge
bright moat
vast surge
bright moat
vast surge
#

Uh, if your IQ is 420, it's probably quite high

bright moat
#

*laughter

dang, 420, imagine

200 is already 1/several billion

#

bro

#

nah

#

who are you

vast surge
#

Todd

deep mango
#

who the fuck is this guy?

#

todd why are you just sitting here posting the sully emote?

bright moat
vast surge
#

He's todd

deep mango
bright moat
vast surge
#

He doesn't send messages he just reacts with sully

#

To everything

bright moat
bright moat
honest veldt
#

I think we should start having some heated conversation about iq, don't you

vast surge
#

Because he's too much of a coward to use the obviously superior version, zsully

neat lintel
#

iq is bullshit

honest veldt
#

im gonna be sick

bright moat
neat lintel
#

Thanks for coming to my ted talk

honest veldt
#

and a couple of pence

bright moat
bright moat
neat lintel
#

Folks with iq below 180 cannot comprehend higher abstract mathematics

honest veldt
#

about a dozen iqueues

bright moat
honest veldt
#

he's right you know

coarse grotto
#

Math is too difficult for the layman 😔

vast surge
#

You know you need to have a really high IQ to understand rick and morty

bright moat
neat lintel
#

You need a really high iq to understand hartshorne

vast surge
#

To be fair, you have to have a very high IQ to understand Rick and Morty. The humour is extremely subtle, and without a solid grasp of theoretical physics most of the jokes will go over a typical viewer's head. There's also Rick's nihilistic outlook, which is deftly woven into his characterisation- his personal philosophy draws heavily from Narodnaya Volya literature, for instance. The fans understand this stuff; they have the intellectual capacity to truly appreciate the depths of these jokes, to realise that they're not just funny- they say something deep about LIFE. As a consequence people who dislike Rick & Morty truly ARE idiots- of course they wouldn't appreciate, for instance, the humour in Rick's existential catchphrase "Wubba Lubba Dub Dub," which itself is a cryptic reference to Turgenev's Russian epic Fathers and Sons. I'm smirking right now just imagining one of those addlepated simpletons scratching their heads in confusion as Dan Harmon's genius wit unfolds itself on their television screens. What fools.. how I pity them. 😂

And yes, by the way, i DO have a Rick & Morty tattoo. And no, you cannot see it. It's for the ladies' eyes only- and even then they have to demonstrate that they're within 5 IQ points of my own (preferably lower) beforehand. Nothin personnel kid 😎

bright moat
bright moat
vast surge
#

It's a copypasta.

honest veldt
vast surge
#

Also I think my IQ is just below room temperature

honest veldt
#

about a handful at least

bright moat
honest veldt
#

Mine can

bright moat
vast surge
#

Yeah, just about

bright moat
bright moat
#

you gotta be at least 80 IQ

#

I'm willing to bet it

#

bet my middle name

vast surge
#

Well then you'd be wrong. My IQ is exactly 69.

bright moat
vast surge
#

Yes.

bright moat
#

also, why 69

#

so dang specific

bright moat
blazing pawn
#

Please stop trolling this random person lol

vast surge
vast surge
bright moat
blazing pawn
#

and please stop debating IQ shit

vast surge
neat lintel
#

disagree with me on something

cyan goblet
#

Goldrei abbreviates stuff like Axiom of Choice = AC, Zermelo-Fraenkel Axioms = ZF, Zorn's Lemma = ZL

#

is this convention?

honest veldt
#

we don't live in a society

cyan goblet
#

or is this just something that Goldrei does for the sake of concision in his book

honest veldt
#

I've seen it

#

ZFC is a very common abbreviation, so I guess it follows ZF is too?

#

maybe

cyan goblet
#

ah

#

oh ZFC is short for zermelo fraenkel + axiom of choice

#

interesting

honest veldt
#

Yup

neat lintel
#

You don't know about Dr. Richard and Mortimer?

waxen lily
#

im afraid not, but sounds quite elucidating. where may i find the literature?

sick burrow
#

Math server IQ discourse

alpine kindle
# vast surge To be fair, you have to have a very high IQ to understand Rick and Morty. The hu...

To be fair, you have to have a very high IQ to understand mathematics. The deductions are extremely subtle, and without a solid grasp of foundational logic most of the proofs will go over a typical learner's head. There are also Gödel's incompleteness theorems, which are deftly woven into mathematical research- they pertain to Cantor's Generalised Continuum Hypothesis, for instance. The mathematicians understand this stuff; they have the intellectual capacity to truly appreciate the depths of these proofs, to realise that they're not just rigorous- they say something deep about LIFE. As a consequence people who dislike mathematics truly ARE idiots- of course they wouldn't appreciate, for instance, the subtlety in the existential "Hairy Ball Theorem," which itself has cryptic connections to Euler's characteristic and planar graphs. I'm smirking right now just imagining one of those addlepated simpletons scratching their heads in confusion as the unparalleled beauty of mathematics unfolds itself on their e-book reader screens. What fools.. how I pity them. 😂

lethal gulch
fading pulsar
ivory sundial
#

To be fair, you have to have a very high IQ to understand the hit game called "Among Us" The lore is extremely subtle, and without a solid grasp of storyline connection most of the hints will go over a typical player's head. There's also the mystery of the impostor, which plays into it's character. The impostor's personal philosophy has a high probability of not being referenced inside any literature, for instance. Only a select few of fans understand this stuff; they have the intellectual capacity to truly appreciate the depths of these mysteries, to realise that they're not just a game, they say something deep about LIFE. As a consequence people who dislike Among Us ARE idiots- of course they wouldn't appreciate, for instance, the humour in the crewmate's tasks. Which in itself is a cryptic reference to how repetitive this society truly is. I'm smirking right now just imagining one of those addlepated simpletons scratching their heads in confusion as Innersloth shows his ingenious game design which unfolds itself on their device's screens. What fools.. how I pity them.

#

this is becoming the To be fair meme

#

channel

ripe wasp
#

beautiful

zinc cosmos
#

Beautiful

neat lintel
#

ugly

ivory sundial
#

farts look better than that

cyan goblet
#

why would goldrei go about introducing ideas related to posets before actually defining posets?

devout nacelle
#

To motivate the definition maybe 🤷‍♂️ I've never read the book though

sterile hare
#

is there a uni course that focuses mainly on reccurence relationships

#

if so, what would the course be called?

#

Difference equations is the type i need to get better at solving

#

but need to read theory on it

long matrix
#

To be fair, you have to have a very high IQ to understand what IQ actually is. The concept is extremely subtle, and without a solid grasp of it most of its implications will go over a typical person's head. Only the smartest of the smartest can design these tests to see how smart you are. And only the smartest of the smartest of the smartest can lead and approve of these designed tests. I'm smirking right now just imagining one of those addlepated simpletons scratching their heads in confusion as they can't even understand the simple pattern recognition on their device's screens not even comprehending how these tests are made. What fools.. how I pity them.

fathom tendon
#

I just did a practice act that my school offers and I did better on reading than math

#

While simultaneously having a 90% in low level English class and 98% in AP Statistics this year and a 101% in honors algebra 2 last year

#

I’m very confused lol

leaden torrent
#

one would hope a student with a 98% in statistics would understand that sampling noise exists

fading pulsar
#

What is the difference between probability and stats?

long matrix
#

theoretical vs practice? If I had to be very vague

#

its like physics vs maths? would that be a good analogy 🤔

cyan goblet
#

isnt probability just how likely something happens

#

statistics is the analysis of data

fading pulsar
#

no

long matrix
#

In statistics, you are trying to deduce the probability distribution from data, you could say

#

You are given the data

#

and you are trying to figure out what models it

fading pulsar
#

I have never seen high level statistics (yet)

cyan goblet
#

or are we talking probability in a diff context

long matrix
#

In science, you are also given the data

#

and trying to see what mathematical model applies to it

fading pulsar
#

What is the equivalent of a textbook like varadhan's text on probability theory for statistics?

#

I'm just curious to see what statistics is about

cyan goblet
#

might have better luck having that seen in there

little vine
#

A statistic is anything that can be determined from data

#

I was doing great in stats until I got to estimators. I don't really get how we can tell an estimator is unbiased unless we actually know the true value of the parameter

devout nacelle
pale orchid
#

you might also see it in complex analysis

#

since this is the type of stuff the Z-transform shines in

#

(not the main focus, ofc)

#

and also to some extent in numerical analysis

neat lintel
#

where can i get active help with Theory of Computation?

devout nacelle
neat lintel
#

ty again!

shrewd ocean
#

i'm currently in hs algebra but i've noticed for too long that my math is structured like cheese, an unpleasant one, and i don't know how many holes it contains. i've been trying to study from prealgebra via openstax but i feel like i'm just wasting my time and would better just continue on my current level rather than perfecting my basics, is there a good way to approach this?

charred mortar
#

I’d suggest you focus on studying areas you feel weak in

stable ginkgo
sick burrow
real sigil
inner finch
terse flax
shrewd ocean
#

what's up with the ghost pings in the help channels?

leaden torrent
#

I don't see any recent deleted messages pinging you

river linden
terse pond
visual hatch
neat lintel
#

Hi I have a linear algebra question

#

Could you have a dot product of a matrix? Or would it only work if that matrix was considered as a vector?

Let me give you an example to make my question clear to you.

So if I try to find the product of a matrix with dimension (2x1) with another matrix with the same dimension (2x1), it wouldn't be valid because the number of columns of the first matrix does not equal the row of the second matrix.

However, if I were to define the 2 matrix to be a vector, I would get a scalar value by dot product.

If that's the case, you could consider any matrix as a vector and make every matrix dot product valid.

I'm just so lost. Help me plz 😦

neat lintel
#

The dot product a.b can be defined as a^T b (matrix multiplication of a^T and b)

#

But it makes little sense if doesn't return a scalar

#

Yo anyone good with english literature?

long matrix
neat lintel
#

got a sentence i want to de construct

#

anyone? so i can dm

#

does anyone know a good english discord?

#

Can anyone translate this in plain english "I repeat that the turmoil of heterogeneous and antagonistic social whims and speculations in which we live is due to the failure to understand what the industrial organization is and its all-pervading control over human life"

blazing pawn
#

Please stop posting this stuff in multiple channels

#

Lol

#

You can talk about it if you want but you don't need to post it in more than one place

long matrix
#

So it isn't an english literature question anyways smh, my point exactly

#

Tried a dictionary for the too long words?

#

Because I would do exactly the same

blazing pawn
#

I don't really understand why you're asking this here honestly? There are probably other places that would be better suited to answer you

neat frost
#

Google translate it to some language

neat lintel
neat frost
#

Then back to English

#

Ez simplified

neat lintel
#

Servers*

blazing pawn
#

Why would anyone here know that lol just google them or something

#

Or like

#

Google a server for whatever you're doing this for (SAT prep I suspect, or something like that)

neat frost
#

Damn that sentence is pretty stable in google translate, I translated it through a couple of languages and I got
“I repeat, the heterogeneous and competitive society in which we live in a storm of whims and assumptions stems from the inability to understand what an industrial organization is and its complete control over human life.”
Which isn’t too far off from the original sentence

neat lintel
#

Ill try to get some idea from that

#

thanks

#

i find it funny how everyone gets pissed off at little things here, i will occasionally come here to watch everyone's reaction

#

perfect server for that i think

neat frost
#

If you want to join a server to watch people get pissed off

#

Join a flat earth server

blazing pawn
#

If you're just here to aggravate people and not talk about math then I can just ban you lol

neat lintel
# neat frost Join a flat earth server

even better, but flat earthers actually try to present some deep and complex conspiracies' to support their arguments. here everyone is like, "OHH NOOoooo, hE aSKeD aN eNGLish question! bLasPHEMY"

neat frost
#

It is blasphemy sully

#

Not only is it not math

#

It’s not even stem

#

Like asking an engineering question, repulsive as it is, is acceptable

#

But English?

#

Wheeewww

neat lintel
#

yea yea, typical discord mode behavior, its not your fault, everyone strives to be a mod.

blazing pawn
neat lintel
#

and i can understand you guys behavior

#

alright thanks bye

charred mortar
#

to be fair, isn't this channel meant to be open to any reasonably appropriate topic?

long matrix
#

that wasnt necessarily the issue.

charred mortar
#

simplifying an english sentence (once the question was actually formulated and properly asked) seems like it'd fit under that umbrella

steep mountain
#

i think you're being a bit unfair to everyone for guiding you to a better suited place

long matrix
#

It certainly wasn't the only possible issue

charred mortar
#

yeah I know they were being unreasonable, just wondering about topic choice in general

steep mountain
#

its not that no one here is knowledgable with english literature i assume many people are

neat frost
#

English has no place here

long matrix
#

I wouldnt find it a problem myself if someone just asked an English Q

steep mountain
#

but it simply would make sense to ask this somewhere else

#

tho i will try to explain that message

charred mortar
#

understandable

long matrix
#

And then they were directed to somewhere more helpful

steep mountain
#

as best of my ability

long matrix
#

or maybe someone could actually help. but thats not what happened here

charred mortar
#

for sure

steep mountain
#

"I repeat that the turmoil of heterogeneous and antagonistic social whims and speculations in which we live is due to the failure to understand what the industrial organization is and its all-pervading control over human life"

long matrix
#

Im afraid I cannot decipher this

charred mortar
#

me neither tbh

steep mountain
#

so here is my thoughts in understanding a sentence with odd or difficult literature

charred mortar
#

my brain just kinda skims over it

steep mountain
#

1st of all lets cut this to small pieces

neat frost
#

Tbh the sentence itself isn’t too bad, just weirdly written and it starts with “I repeat”

#

And idk those big words, but

long matrix
#

context would probably make it make much more sense too

steep mountain
#

and immediately im struggling with
turmoil of heterogenous and antagonistic social whims and speculations

neat frost
#

,w define heterogeneous

long matrix
#

i did the same lel

neat frost
#

Hmmm

long matrix
#

it is just a synonym for 'different'

#

i suspect

#

multitude of

#

variety

neat frost
#

Okay I’m getting the feeling that the sentence may not make logical sense maybe?

long matrix
#

antagonistic meaning clashing

charred mortar
#

ngl this reminds me of Orwell's pseudo-rant on politics and the english language

#

it feels like a bunch of big words strung together to sound fancy and overwhelming

neat frost
#

Yeah

blazing pawn
#

The sentence makes sense

charred mortar
#

e.g. "heterogeneous and antagonistic" feels redundant (just say antagonistic)

#

maybe I'm just bad at comprehension though

neat frost
#

Who was that physicist that published an article in some social science journal that made no sense?

steep mountain
#

so we can phrase this as
"the disturbance of social needs and demands usually ones that are sudden to happen and change"

blazing pawn
#

It's basically just "our society has a bunch of contradictory social demands because we don't understand industrial organization and how it controls our lives"

charred mortar
#

ah I see

steep mountain
#

is due to failing to understand how companies take control over peoples life

long matrix
#

unveiled secret: to become a mod u must pass an english test like this

steep mountain
#

hmm

#

ye ultra statment seems somewhat correct here

charred mortar
#

second part is certainly to do with industrial society in general, and that part seems fine

#

it's just the first half feels a bit clunky and overly wordy to me

blazing pawn
charred mortar
#

that's also certainly possible

blazing pawn
#

late 19th century england was a mistake

neat frost
#

England was and still is a mistake

long matrix
#

excuse u

steep mountain
#

i think this somewhat implies

#

that people are controlled by this enviroment they live in because they fail to understand it

#

it simply dictates the demand and makes it

#

controls every aspect of your "needs and wants" and shifts them

#

causing this disturbance

#

if i had to analyze this more deeply

steep mountain
#

im sorry my literature abilities can only go so far here

neat lintel
# steep mountain hmm

btw i had tried to find english servers yesterday but almost all of them were about just foreigners' voice chatting to get better at speaking, couldn't find any good ones. and the big servers were asking for my phone number so i didn't join them. so i resorted to here today and also asked around for any good english servers.

steep mountain
#

i mean you can probably even join a philosophy or political server

steep mountain
#

if i had to try somewhere

neat lintel
#

thanks for helping

steep mountain
#

im in a small philosophy server i think it might be helpful hmmCat

steep mountain
#

hopefully sending server links is allowed
if not i apologize

#

tho there is some other big philosophy servers as well

#

hopefully you find the help you need

neat lintel
#

Sometimes when I read math, I get really scared. It'll take ages to learn it all. How do you guys deal with your fears and anxieties in math

long matrix
#

It happens at all levels

#

Just take things one step at a time... is some generic but not v. helpful advice pandaOhNo

#

Maybe talk to people who are at the same stage of learning

#

that usually builds confidence --- if you can discuss things you are both stuck on

#

or if you can explain something someone else doesnt get and vice versa

neat lintel
#

I suppose... would be nice for things to be easier

modest rune
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luckily you very much dont have to

magic robin
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how tf

modest rune
neat lintel
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Not all math

modest rune
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its true locally and globally

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i've never read a book cover to cover

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probably never will unless i write one

magic robin
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#available

neat lintel
modest rune
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well, you will probably have to learn to not do that, but it takes practice and time

long matrix
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atm the learning method that works for me is to make sure I understand the intuition behind the ideas. Including proof ideas

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then come back to the nitty gritty details after (and even then I won't always look for understanding on every single bit - it's not always possible)

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Like after a section or two, maybe

neat lintel
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It's hard to be a pedantic mathematician 😫

modest rune
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i guess so haha

charred mortar
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I’ve found that concepts tend to sink in better some time after I’ve read about them

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Amount of time for this sinking in varies significantly for me

little vine
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I get really overwhelmed by the amount there is to learn

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I've heard it said that Euler was the last person to understand all of the math of his time

charred mortar
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A big part of that is because there was much less math to learn back then

left hatch
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I feel like my school is behind in a lot of subjects, but mainly math cause of Covid but I'm interested in it and wanna get ahead with learning somehow.
What do you recommend I do? I've tried using sites like KhanAcademy but I feel like it doesn't contain all the stuff I should know.

blazing pawn
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I think it's easier to give you advice if you specify what you'd like to learn

nimble jetty
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Just curious about other's opinions, but what is your least favorite number? Plenty of people have a favorite, (mine's 8) but there's got to be some least favorites.

mint patio
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Man I hate 6, it's too perfect

nimble jetty
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I've always had a grudge against 18. It feels like a worse 12.

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57 and 91 are just annoying. They look prime, you know?

sick burrow
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57 does not look prime

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91 maybe

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but 57=60-3

leaden torrent
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quality discussion guys

long matrix
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what am i even reading

odd narwhal
long matrix
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it looks like 100-9 to me

odd narwhal
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it's obvious a 7 fits in there

nimble jetty
odd narwhal
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in a sense they aren't, because the surrounding numbers are composite

nimble jetty
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91 especially looks prime to me. Even numbers are easy to see, 5 are the same, and 3 and 11 have simple divisibility tests. Squares are easy to memorize (this, 49 still "looks" composite) but 91, 7 x 13, has nothing. In fact, it's the only composite number under 100 that looks prime to me.

long matrix
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100 - 9 difference of 2 squares... jk

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not easy to spot

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I have internalised what 7 x 13 is though

light needle
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i hate the number 2

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literally everything fails for n=2

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fuck 2

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whoever invented 2 deserves a painful death

odd narwhal
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Ah yes, the subprime number

nimble jetty
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Oh GOD I forgot about 2

little vine
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If anyone can field a physics question I'm curious about something. If you play a G on say, a saxophone, the G string on a guitar will vibrate in response. I know it's called resonance but I don't really understand why it works.

hollow horizon
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2 is my favourite number because it is the date of my birth ;/

real sigil
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I was born in pi

nimble jetty
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I was born on 3^2 - 3^3

winged token
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Hi, I'm a bit confused on linear operators

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so I have a linear operator T from C[0,1] to C[0,1] that maps the set P: {u \in C[0,1] : u(x) \geq 0} into a smaller subset of P

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im just a bit confused on the notion of maps for function spaces

tall badge
winged token
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Im a bit new to this but from what i understand T has domain and codomain of C[0,1]. which is normal, its just mapping continous function to other continuous functions. but for the second part. I'm just a big confused on the P space. Is it saying that if you apply the operator on a function in P, it's result will be an element of a smaller subset of P?

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Like ill draw a picture

tall badge
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unsure what smaller means

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like proper subset?