#serious-discussion

1 messages · Page 38 of 1

fathom swallowBOT
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smoobles

neat lintel
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must get better

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I still make errors in those problems angerysad

gritty flower
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Hmmm time to learn

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$1 +1$

fathom swallowBOT
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Kevin ☕

gritty flower
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$2³ =/ 9$

fathom swallowBOT
#

Kevin ☕

gritty flower
#

Hmm

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$x½$

fathom swallowBOT
#

Kevin ☕

gritty flower
#

$x^1/2$

fathom swallowBOT
#

Kevin ☕

gritty flower
#

How tf you square root

neat frost
fathom swallowBOT
neat frost
gritty flower
#

@neat frost okok

alpine kindle
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which is also equal to (a-b)³ sotrue

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(in char 3)

fair mural
zealous garden
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Today I realized that the exterior algebra is just the geometric algebra when r=n

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(r=n -> Q(v)=0)

neat lintel
fair mural
arctic grove
#

hey grass

alpine kindle
# neat lintel what's that

the characteristic of a ring R is the smallest positive integer n such that
1+...+1 (n times) = 0
where 1 and 0 are the multiplicative and additive identities in R

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if such a number doesn't exist, then the characteristic is said to be 0

bright hill
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No smartass, holier-than-thou know-it-all attitude?

zealous garden
bright hill
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A "I'm actually a dumbo that don't know shit, this is just what I read from pop-sci" disclaimer?

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I'm actually disappointed

bright hill
zealous garden
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lmfao

bright hill
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There

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Happy now?

zealous garden
neat lintel
neat frost
bright hill
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Fuck, slurp saw it

neat frost
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Especially not with physics. Knowing physics is a sign of stupidity

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Which I am not

neat lintel
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I feel really ashamed at the amount of pop sci stuff I've read throughout my life in comparison to actual science

neat frost
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I am the smartest

bright hill
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Now it's significantly less funny

neat frost
#

Yeah well DarQ go fuck yourself

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Good morning DarQ!

zealous garden
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are you guys gonna fight

bright hill
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Morning slurpy durpie

neat frost
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No I would beat him

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No fun in that

zealous garden
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1v1 in minecraft

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no totems no enchants

neat frost
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Hmm

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Hard pass

neat lintel
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allow a totem for darq

neat frost
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I’m no geek. I don’t play Minecraft

bright hill
neat lintel
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slurp clearly doesn't need it

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darq is into being beat seemingly

bright hill
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With that *squeak* *squeak*...

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I won't stand a chance

neat lintel
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we will do a math duel, renaissance Italy style

neat frost
neat lintel
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if you can factor and solve this cubic polynomial with complex roots you win

neat frost
#

Hmm

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Pass

bright hill
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Sure

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Squeaky boy

neat frost
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Hmm

neat lintel
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can you guys recommend me a good practice routine

zealous garden
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read, think really hard, write some stuff, repeat

neat lintel
#

too vague

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genuinely though

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I think a lot about the arc length of the circle

zealous garden
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the circumference?

neat lintel
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I always imagine it as a thread that I can flatten out and measure on a number line like a ruler

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yeah circumference

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is there proof of its relationship to the radius?

zealous garden
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yes

neat lintel
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the phrasing is wrong, what I mean is, give me the proof

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NOW

zealous garden
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sorry, proof machine broke

fair mural
zealous garden
west kelp
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Hello

fading surge
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@frigid matrix hi

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wanna talk in DM?

odd narwhal
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why are you @ ing random users to talk in dms?

snow spear
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Everything in the galaxy is sort of orbiting everything else in the galaxy like a big fluid blob

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the spiral arms are actually waves in the blob

zealous garden
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The fact that "now" doesn't exist really tears me up inside

snow spear
# snow spear Everything in the galaxy is sort of orbiting everything else in the galaxy like ...

This is a nice video from a simulation, look at the latter part for after the galaxy has formed. https://www.youtube.com/watch?v=O674AZ_UKZk

The formation of a single massive galaxy through time, from early cosmic epochs until the present day, in the TNG50 cosmic simulation. The main panel shows the density of the cosmic gas (high in white, low in black). Insets show large-scale dark matter and then gas (lower left), and small-scale stellar and gaseous distributions (lower right).
Th...

▶ Play video
fading surge
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@frigid matrix hi

fading surge
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hi, anybody wanna help me with my game design?

zealous garden
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I'd rather get the discipline to work on my own

fading surge
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hi @zealous garden

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it is not that simple

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it needs balancing, that only a mathematical mind can do

zealous garden
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I don't know what that means

fading surge
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hi @zealous garden, the game needs work that relies on mathematics

static loom
fading surge
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hi, what happens if you have cards with a certain number of arrows in the 8 directions, how many permutations can you have?

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I got an idea, the most massive Star of 27 Mass Points, has 8 Gravity Lines, the 14 Asteroids, have 3 Gravity Lines each, in unique configurations, the 2 Moons have 1 Gravity Line each, one facing orthogonally, the other facing diagonally
then for the two second largest Mass Points Star will be 7 Gravity Lines each
so we are left with 2, 4, 5, 6

velvet gazelle
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Hello do you have good clips to understand ( Cos ) ( sin )

fading surge
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hi @velvet gazelle

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@frigid matrix

velvet gazelle
fading surge
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can you help me with my game design?

velvet gazelle
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I can't, I'm an engineering major

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@fading surge Sorry

fading surge
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it is ok

velvet gazelle
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Good

wild marsh
fading surge
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hi @frigid matrix, yo, I have progressed with the game with someone else

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you want to see what we have?

muted jewel
neat lintel
amber flare
#

i mean the sun

proud olive
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you're mean to the sun?

frigid matrix
fading surge
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ok thanks @frigid matrix!

neat lintel
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bro tips on wtf to do when ur chem teacher sucks but u gotta do well bc it’s ur final year in school 🧍‍♀️

long matrix
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its how it works in uni too. learn to self study

glad jackal
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hi

neat lintel
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guys

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guys

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IS IT NOT 32?

long matrix
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2^6 aint 32 no.

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4.4.4 aint 8.4

neat lintel
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oh fuck

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I got confused

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okay it's 64

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sorry

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but still aren't my steps logical?

fair mural
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bruh moment

snow spear
neat lintel
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i went full circle i know

proud olive
neat lintel
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im a doodoo brain i make these mistakes very regularly

charred wren
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hi, i want to ask some math questions

bright hill
charred wren
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it's much less a math question

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it's a question about why a conversion formula is the same both ways

bright hill
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You can still use the help channels prolly

wild marsh
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Anyone mind helping me with a question in #help-41

bright hill
wild marsh
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I need help quickly but no one is, I tried yesterday and didn’t get help for an hour

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And no one helped

leaden crown
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Is anybody familiar with audio-based math? Engineering type stuff... I need some help with a little math that deals with stuff like volts, SPL, decibels, pascals, using logarithms to solve, etc.

brittle socket
leaden torrent
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also you just dropped an entire worksheet and asked people to do a question for you

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thats not very conducive to receiving help

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at least try and state what youre confused by, if you have been provided any formulas, etc

mossy oriole
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What a beautiful function... It looks like noodles

junior jolt
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you should see tan(x^2+y^2) = 1

hollow pagoda
neat lintel
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me when

keen forge
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give me a question about Graphing Linear Function using TABLE OF VALUES

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im gonna fail my math subject

native quail
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im gay

keen forge
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how to report messages ?

stiff pecan
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No pain, no gain.angerysad

proud olive
small dust
surreal sapphire
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huh, they left

neat lintel
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finaly umuted

neat lintel
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How does everyone here revise for exams. Do you go over your notes and re-write them and refine them?

solid snow
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You do problems and review concepts

deep mango
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talking things out helps me to really internalize the ideas

neat frost
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Ryc also just really likes the sound of his voice

flat harbor
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i used to be obsessed with having clean and well written notes

neat lintel
flat harbor
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and it took actual effort to stop investing time into making them "flow in a good way" or whatever

deep mango
flat harbor
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uve seen my notes ryc

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the text is neatly placed within the lines but thats their only merit

deep mango
flat harbor
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oh wait lmao yeah when i was obssessed with note taking

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i was less of a "cutiepie" and more of a "gamer"

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i was obsessed with cramming everything in One(1) sheet of paper

deep mango
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oh my god this is so fucking cringe

flat harbor
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to the point i used sticky notes layered on top of each other for extra space

deep mango
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"the cornell method" actually fucking kill me

flat harbor
deep mango
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i remember when my 10th grade literature teacher forced us to take notes in the "cornell method" and she'd have us fucking fold the paper over or whatever

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so dumb

flat harbor
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feels like these ppl wuld also write self help blogs

neat lintel
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That's so fucked

velvet dagger
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God

deep mango
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the more that i think about the way that education works the more i see the value in sink or swim philosophies

velvet dagger
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I remember my 9th grade history teacher graded our notes too

neat lintel
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I just want notes that flow well to help me lol

velvet dagger
#

I don't remember how specific she was about the format

flat harbor
#

today i tried the "Themes Method" and started using Obsidian Tasks to organise my life on a kanban board 🥰

velvet dagger
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But she definitely graded us and would be like hmmm yeah I wish you took a note on this too

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Like you actual moron lol

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And she had no idea how to control a class of 9th graders lol

deep mango
flat harbor
#

i think notetaking culture here is a bit more

neat lintel
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How many of you use iPad's to take your notes?

deep mango
flat harbor
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using highlighting for survival

deep mango
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i use a samsung tablet with onenote

velvet dagger
#

My 10th grade history teacher did something a bit similar but was less ridiculous about it. More just like hmm you doing something serious okay cool

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Rather than actual fuckin grading

flat harbor
velvet dagger
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Even that I don't agree with but I'll give credit where it's due he was faaar from the infimum

flat harbor
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and MAYBE i stopped studying for an entire week to get the system going

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MAYBE it was overcomplicated quirky and maximized aesthetics

velvet dagger
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Just MAYBE

flat harbor
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and just maybe MAYBE i stopped using it after a week lmao

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time ill never get back

velvet dagger
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This is all hypothetical tho

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Ofc

flat harbor
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but i promise its bc im in the military and dont have my laptop w me as soon as i can "digitise my notes" ill be golden

deep mango
flat harbor
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lmao i cant say this with a straight face

velvet dagger
#

Wait are you in the military? Or is that the part you can't say with a straight face?

flat harbor
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i am in the military ye

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not for long 🙏

velvet dagger
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Interesting you don't give military vibes lol

flat harbor
#

yea bc i was conscripted

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🦢

velvet dagger
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Ohhhhhhhhhhhh

flat harbor
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if anything

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living in the barracks and being unable to

velvet dagger
#

I just realized

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The country and all

flat harbor
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"express myself"

velvet dagger
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I tend to think of American soldiers lol

flat harbor
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has only made me more "hot girl habitat"

deep mango
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Hot girl habitat

flat harbor
velvet dagger
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And in my head American soldiers are either like, either mad disciplined or a bit wild

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No middle ground

flat harbor
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from what ive seen

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ure absolutely right lmfao

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like the little baby soldiers? before they get promoted to sergeants and stuff

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theyre just crazy but the same level as ud expect from frat kids

neat lintel
velvet dagger
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That is also a fair point I guess in America there's no conscription there's only predatory recruitment so I don't have much to contrast with

flat harbor
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but once they get promoted they suddenly get Immersed into the Duty

deep mango
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I like it a lot better

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I don't know if it's worth the price of an ipad

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but if you have one

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I use a samsung galaxy tab s6 which was like 300 bucks

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and came with a pen

flat harbor
#

the great nation of korea begs to differ

iron osprey
deep mango
#

Nice

fair mural
sleek pagoda
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could I have a few pointers for this

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how would I prove

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(a^b)^c=a^(bc)

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I can do it for integers

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but not for a number rational or irrational

zealous garden
#

Mfw I read ^ as wedge

sleek pagoda
#

?

neat frost
sleek pagoda
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a^b

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a is a number

neat frost
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Yes

sleek pagoda
#

b is a number

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I want to show that

static loom
neat frost
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But how do you prove (a^b)^c =a^(bc) if you havent defined what a^b means

sleek pagoda
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how is a^b

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normally defined

neat frost
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Like what do you think pi^e is

sleek pagoda
#

?

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pi^e

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Actually i dont know

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My guess would be

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approxiamate pi and e

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with rational numbers

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and then use better aproximations

neat frost
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Almost yeah, you just need to approximate e

sleek pagoda
#

to get a value

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But like

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if I have

neat frost
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But then how do you define rational exponentiation?

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like a^(n/m)?

sleek pagoda
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IDK

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If you define it as

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(a^n)^(1/m)

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is that how it's defined?

neat frost
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Yeah that works

sleek pagoda
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but the thing is its

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using the property I want to prove

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so do we take that property as a defenition?

neat frost
#

We take a^(n/m) = (a^n)^(1/m) as definition, the property you want to prove (for b,c rational) is a direct result of this definition

sleek pagoda
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Ok

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so how does this apply for

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irrational numbers?

neat frost
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You gotta play with limits

sleek pagoda
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for example

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(2^sqrt(2))^3

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I can write

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m1 as and integer

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and n1 as an integer

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and m1/n1

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aproxiamates sqrt 2

neat frost
#

(ams) [ a^x = \lim_{\substack{n\to\infty\ \mathbb Q\ni p_n\varrightarrow x}} a^{p_n} ]

sleek pagoda
#

Ok

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and because it

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applies for each rational number

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it applies to the irrational case?

fathom swallowBOT
sleek pagoda
#

how would you show that?

neat frost
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By using the definition I just sent

deep mango
sleek pagoda
#

and if

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the 2nd power

deep mango
#

define by a^x = e^(x log(a))

sleek pagoda
#

is also irrational you

neat frost
#

ffs ryc

sleek pagoda
#

do the same thing?

deep mango
#

and use power series

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silly

neat frost
#

if a is irrational theres no issue

sleek pagoda
#

Ok

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what I meant is

neat frost
deep mango
#

You could do the same thing but we know what nth roots of irrational numbers mean

sleek pagoda
#

but

deep mango
#

and what nth powers of them mean too

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my way is silly

sleek pagoda
#

to prove the power series

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don't you use

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this property

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so it becomes circular reasoning

deep mango
#

(but my way is how you define exponentials of complex numbers, of matrices, of operators, etc)

neat frost
#

No

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I dont think so

neat frost
#

You need a proof for rational exponentation but not irrational

sleek pagoda
#

but for exaomple

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(a^b)^c

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b,c are irrational

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I set a limit

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where to rational numbers

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aproch the irrational numbers

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and because the property holds it will hold when

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the the rational number is the irrational?

neat frost
sleek pagoda
#

but

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how would you show

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that

neat frost
#

Which is probably a pain if youre doing this from scratch

sleek pagoda
#

if holds

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for the rational case

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it holds for the limit?

sleek pagoda
neat frost
#

By trying hard

deep mango
#

tensor hom adjunction in the monoidal category of reals

neat frost
#

God fucking dammit ryc

sleek pagoda
neat frost
#

horny much

deep mango
#

What?

fair mural
sleek pagoda
#

Ok

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so by trying hard I can show

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that the property holds for the limit

neat frost
#

Probably

sleek pagoda
#

IDK how to put that in mathamatical lingo

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but thanks for the help

deep mango
#

i'm actually dumb

sleek pagoda
deep mango
#

i don't know how to make this work

sleek pagoda
#

I am even dumber

fair mural
sleek pagoda
#

me either

neat frost
#

taylor series or honry shit

fair mural
bright hill
#

Good morning slurp!

sleek pagoda
#

I am still confused why

neat frost
#

Good morning DarQ!

bright hill
fair mural
#

hi dark

sleek pagoda
#

(a^(b/c)) is defined

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as

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(a^b)^(1/c)

bright hill
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Sup quants...

deep mango
#

But basically, the tensor hom adjunction says that functions from A x B to C are the same as functions from A to (functions from B to C)

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and when A, B, and C are finite sets

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This says |C|^(|A||B|) = (|C|^|B|)^|A|

neat frost
#

This is trivial ryc

sleek pagoda
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Basically

neat frost
#

No need for finite

sleek pagoda
#

the mathamatical lingo

deep mango
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But idk how to get it for real numbers

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I know

neat frost
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can you?

sleek pagoda
#

No

deep mango
neat frost
#

bleh

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who gives a fuck about algebra

deep mango
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Which means I think you can get the statement for real numbers

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purely categorically

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but idk what the right thing to write down is

sleek pagoda
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I confused about so many things

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like apparantnly

fair mural
sleek pagoda
#

when you multiply

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the set or Whole numbers

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with itself you get integers

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and then integers

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multiplied by itself

neat frost
#

I feel like this proof would be circular ryc. like idk shit about rings and modules and cat theory but it really feels to me like a definition type proof

sleek pagoda
#

Bottom line

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we take it as an axiom

deep mango
sleek pagoda
#

But how are exponents actually defined?

neat frost
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I didnt just send it for the shits n gigs

sleek pagoda
#

Not for that

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but for ratinal numbers

neat frost
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We literally discussed this

sleek pagoda
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I know

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You said

neat frost
#

I mean sure you need to define a^1/m

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And proving that a^1/m exists isnt necessarily trivial

sleek pagoda
#

would you do it but showing that

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(a^1/m)^m is 1

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as a defenition?

deep mango
neat frost
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yes

sleek pagoda
#

sorry

neat frost
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but how do you know that there exists a number x such that x^m=a

sleek pagoda
#

not 1

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I meant a

neat frost
deep mango
#

the proof is horrible

neat frost
#

Exactly

sleek pagoda
#

you use some axiom

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?

neat frost
#

Basically you show this for positive as first

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And then for odd ms you just negative that whatever

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(ams) Basically you show that
[ b = \sup\set{0\leq x\in\mathbb R}[x^m\leq a] ]
exists and satisfies the property that $b^m=a$

fathom swallowBOT
deep mango
#

Did you guys assume least upper bound property or something

neat frost
#

yeah

deep mango
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Or did you define the reals

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I see

neat frost
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nah were not nerds

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defining reals is dumb

sleek pagoda
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My thoughts where

deep mango
#

Defining the reals is so stupid

neat frost
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abstract it, define real axioms

deep mango
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They're the only object that matters

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Everything else should be defined from them

sleek pagoda
#

You could show an a^m and n^m

neat frost
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proving that a set with those axioms exists is unnecessary

sleek pagoda
#

that has

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b^m in between it

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and then you can apply some function

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on a and n

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that keeps the bounds

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but shrinks the how far apart

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a^m and n^m

neat frost
sleek pagoda
#

and the limit of this process is b^m

deep mango
sleek pagoda
#

integers

deep mango
#

Reals come with a field structure

sleek pagoda
#

define ratinal

neat frost
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using a limit proof would probably be circular

sleek pagoda
#

and ratinal defines

neat frost
sleek pagoda
#

well I got to go

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thanks for the help

neat frost
#

nah tbh rationals are cooler than reals

deep mango
#

Alternatively you can define Z as the pontryagin dual of the unit circle in C

neat frost
#

hmm no

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reals are cooler

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wait no

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rationals are

deep mango
#

They're both dumb

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The best set is hilbert space

neat frost
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reals are basically rationals

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you just complete it

deep mango
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Completing something is a big deal

neat frost
#

does hilbert require completeness?

deep mango
#

Yeah

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Hilbert space = vector space with an inner product and it's complete for the metric you get from the inner product

neat frost
#

yeah okay

deep mango
#

L^2 is a hilbert space

neat frost
#

are finite normed spaces complete

deep mango
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And in some fucked up sense every hilbert space is an L^2

neat frost
#

nice

deep mango
#

Well

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As long as the field is complete

neat frost
#

god finite spaces are too simple

deep mango
#

Finite dim normed spaces over Q aren't

neat frost
#

oh yeah ofc

deep mango
#

They still have interesting structure! The operators on a finite dimensional space have plenty of interesting properties

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Matrix algebras

neat frost
#

like

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whats interesting

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what properties

deep mango
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Lie algebras and lie groups of matrices, representation theory of finite groups (what wew does)

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Uhhh

neat frost
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whats a lie group

deep mango
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Idk what else

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A lie group is a group that is also a manifold

neat frost
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i think i read the wik article a while back but didnt understand shit

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and whats a manifold?

deep mango
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So somehow it's smooth

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A manifold is the n dimensional analogy of a curve or a surface

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So at every point there is a neighborhood which is in continuous bijection with an open subset of R^n

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Like a sphere, a torus, etc

neat frost
#

Hmm

deep mango
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So it turns out that a lot of important sets of matrices are both groups and manifolds

neat frost
#

thats fucked

deep mango
#

For example, GL(n) is the set of all invertible nxn matrices

bright hill
neat frost
#

im still at the point of math where definitions seem logical

deep mango
#

Or SL(n) is the matrices with determinant 1

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Or O(n) is the orthogonal matrices

neat frost
#

who tf would care about sets where neighborhoods of points are in continuous bijection with stupid fucking open sets

bright hill
#

We know what those are ryc...

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So patronizing *sigh*

neat frost
#

O(n) is not orthogonal matrices ryc

bright hill
#

Dont

deep mango
bright hill
#

Don't you dare finish the joke

neat frost
#

I wasnt going to

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I was going to write something else

deep mango
#

So that we can do stuff like, integrate a function over the surface of some object

neat frost
#

relating to my previous comment but it took too long to write

alpine kindle
#

MODS

deep mango
#

It's a much broader generalization of what you learn in multivariable calculus

deep mango
#

For measure theory, you need a measure

deep mango
#

It's true that you can do all this stuff measure theoretically too

neat frost
#

and for manifolds you need a manifold

#

and measure theory is logical

deep mango
#

But they work together. You define measures on these smooth spaces by using their manifold structure.

neat frost
#

like i wanna measure things

#

its a typical male urge anyway

deep mango
#

And more importantly, measure theory gives you no idea of differentiation

bright hill
#

Slurp measure theory arc

deep mango
#

It's true that there are notions of differentiation on metric spaces

neat frost
#

ive been doing "measure theory" for like a month

#

my arc is almost over

bright hill
#

Why is it in quotes? Lol

neat frost
#

soon i will give up on stupid measure theory

deep mango
#

And there are people who generalize the study of manifolds to so called "metric-measure spaces". But manifolds are a good place to start because they are nice and smooth

#

Metric measure spaces can be really nasty with fractal dimension and stuff.

bright hill
deep mango
#

This is what geometric measure theorists and geometric analysts need to study

eager reef
#

im trying to fight the intrusive thought of buying hartshorne

#

i know damn well i won't have time for it for a while

alpine kindle
#

the way i cope with hs geometry is by writing μ(ABC) for the area of a triangle ABC

eager reef
#

it's not even that expensive right

bright hill
#

Just do it™

eager reef
#

50 euros or something

#

i shouldn't.

surreal sapphire
#

just steal it from the library?

#

wait, nvm wrong channel

eager reef
arctic grove
whole leaf
neat frost
bright hill
#

Nice work catlove

alpine kindle
neat lintel
neat lintel
eager reef
neat frost
sand ravine
#

has anyone rad the book of "introduction to mathematical philosophy " by bretrand russel

#

??

rocky shuttle
deep mango
#

well they're "L^2" on huge non sigma finite measure spaces

#

like uncountable sets with counting metric

rocky shuttle
#

Ah, okay

primal sonnet
#

Why do help channels have lowercase names only?

neat frost
#

Channels in general can only have lower case names

neat lintel
#

The creators of Discord are the kind of people who only type in lowercase.

primal sonnet
#

No uppercase but can have special characters: 🤔

neat lintel
#

The help channels used to be indexed by Greek letters.

primal sonnet
#

So only 24 max?

neat lintel
#

I don't remember.

zealous garden
neat lintel
#

They got changed to Arabic numerals at some point because the Greek letters seemed pretentious or something.

#

Then the current help system got put in.

primal sonnet
#

The numbers don't mean anything particular anyway

storm sage
#

Wait you want people to do the problems for you?

#

Oh

zealous garden
#

do you want this one eric?

storm sage
#

Nah I think I would only take it if it were at least 500 usd /s

tall badge
storm sage
#

ty rj <3

primal sonnet
#

Eric seems like a nice dude.. oh wait he has the stirner edgy pic

storm sage
#

True, I'm actually the meanest edgiest dude you've ever met

#

RAWRRR THE STATE IS A GHOST

zealous garden
#

that's a racial slur eric

storm sage
#

wtf who is using that word as a racial slur

zealous garden
#

you've really never heard that?

#

bro

#

lmfao

storm sage
#

no I've only ever heard it as "you gave me a spook"

zealous garden
#

nah

storm sage
#

spook is the standard translation for this german word

#

😭

#

dammit lemme find another word

zealous garden
#

spook
noun

  1. a ghost.

  2. a spy

Example: "a CIA spook"

  1. a black person.
storm sage
#

okay I changed it

zealous garden
#

do these messages have to be purged or does context make it okay

storm sage
#

is the term spooky offensive too

#

😭

zealous garden
#

no

#

spooky is fine and normal

storm sage
#

okay

zealous garden
#

so this is why they pay localization teams

storm sage
#

😢

#

I've only ever used spook to mean ghost, I thought that was its only meaning

#

Time to purge this word

zealous garden
#

I didn't know it could mean ghost

#

or SPY

#

lmfao

storm sage
#

yea I've never heard it to mean spy LOL

#

ty for letting me know wraith

zealous garden
wooden flax
#

does anyone know how to get math tutoring jobs

little vine
#

You could advertise at a university for yourself, else you can go on indeed

#

There's a lot on indeed

wooden flax
#

hmm

#

my issue is that im a good tutor but i have 0 qualifiations

#

for example my friends were struggling in calculus getting Cs/Bs on tests but when i taught them for like 2 hrs they were getting As on everything

#

i also have experience with neurodivergent ppl

little vine
#

That's great. You have to start somewhere

#

There's a franchise called mathnasium. They hire people without experience

wooden flax
#

yes but they pay scraps

#

i would earn more in fast food

little vine
#

True but the work is easy

#

You could go into business for yourself, or there are also services that match you with clients for a portion of your income

honest dawn
#

Easy? Yeah, but it's a challenge even so lol

wooden flax
#

simplify the squareroots

#

by factoring

misty hinge
#

I haven't studied a day in my life i cant focus on anything

#

I hate myself

#

[p k090ubytvrcer

leaden crown
#

Is anyone familiar with math pertaining to decibels, SPL, and pascals? I need some help.

junior jolt
#

@zealous garden whats ur cs background? do u also have math background

zealous garden
#

I have formal CS background from an (unfinished) degree in CS, AI & Robotics concentration

#

Gen eds really dragged me down

#

I only took up to Calc 2 and (some) LA in school

junior jolt
#

Gen eds are like random humanities shit that u need to take right

#

im so glad thats not a thing in the UK

zealous garden
#

Yes

bronze wedge
#

applied math>philosophy>pure math

junior jolt
#

.

zealous garden
#

For my CS degree I needed to take politics, psychology, sociology, urban planning, at least 2 liberal arts classes

#

And more that I forget / didn't get to

junior jolt
zealous garden
#

So while I was taking junior/senior level CS courses I was retaking freshman writing

junior jolt
#

so u had to drop out eventually?

zealous garden
#

Pretty much

junior jolt
#

Do u plan to finish

zealous garden
#

I got myself into a position where I couldn't afford to keep going and couldn't get any more aid

junior jolt
#

U seem smart enough to deserve a degree lmfao

zealous garden
#

I do plan on finishing a degree

#

But I have to take care of my missteps first

#

I'd prefer not to call them mistakes, they're only mistakes if I don't learn

junior jolt
#

gl my brudda

zealous garden
#

Thank you

jovial belfry
#

Hello! I'm currently a college student who's gearing towards declaring my major soon. (Note: The use of "you" in my message is intended to be plural). I know this might be a biased community to ask the questions I have, but I would still like to hear your valuable insights. Do you think think as a STEM (science) and economics major (I'm in a coordinated dual degree program at my university), it would be valuable for me to develop very strong mathematical skills? One of the schools I attend is a well-known business school, it has over 26 concentrations in business and economics (all of which are strong), but it also offers a unique concentration in statistics. The second school I attend, there are a lot of science and art majors available. Originally, I planned on majoring in molecular and cellular biology, or computational biology. But I wonder if a more niche concentration like mathematical biology or biological mathematics would differentiate me in my science field, or more importantly, offer me a fresh way to look at science? I have articles on the potential math has in the sciences, especially recently, the life sciences, and I am awed!

Articles:
https://www.nature.com/collections/qghhqm
https://journals.plos.org/plosbiology/article?id=10.1371/journal.pbio.0020439
https://theconversation.com/the-next-breakthrough-tool-in-biology-its-maths-here-are-some-ways-mathematical-biology-is-helping-change-the-world-186209
https://www.nature.com/articles/d41586-022-02176-y

However, what's stopping me might sound like a dumb reason...but math has always been one of my weakest subjects. I am interested in becoming better, but I just suck at it, and I get easily discouraged by small mistakes, and math tends to be more stringent and unforgivable than other fields for small mistakes. Although, this is a more tangential topic.

I'm open to sharing more details on each major (i.e. courses, topics covered, etc.) if that would be helpful!

#

Apologies if this is the wrong channel!

leaden torrent
#

this is hard to answer without knowing your goals

#

do you want to do research? if so, then mathematical biology is certainly a major and fast-growing field, though afaik of a more mathematical flavour than biological

#

in any case, i dont think "bolstering your resume" is particularly valuable if you feel like doing so would be particularly difficult or taxing

jovial belfry
# leaden torrent do you want to do research? if so, then mathematical biology is certainly a majo...

So, my end goal is a little unpredictable. I want to be an entrepreneur. But entrepreneurship isn't a career where I can just snap my finger (like medicine or finance) and the path is laid out in front of me.

Without the desire for more freedom and higher income, I think I would be happy in academia! I would probably pursue a PhD in science, and just do scientific research. I think the next generation of biologists have to have strong programming and computational skills, because of the vast amount of data they need to crunch nowadays. And as a result, math is becoming desirable and valuable too. But...it'll definitely take me a lot of investment to learn math since I am worse at math than nearly all my other subjects (only could my music skills be worse 😂 ).

2/3rd the alumni contacts given to me by my school that majored in mathematical biology went into finance. They both worked in private equity, and ones at KKR currently. Yeah, I can definitely see how math is a translational skill I guess, it offers me a safety net to do the same thing if entrepreneurship fails? I can potentially still land on a 6 figure (maybe even 7 figure job) that academia cannot guarantee. My schools strongest networks are also in finance, and I have felt resistance from some of my peers who make back-handed compliments about me being courageous enough to pursue entrepreneurship. The undertones are always like I'm throwing away a potential great career for something extremely risky (my intended entrepreneurship sector would be biotechnology, which is even riskier than an average entrepreneurship sector).

jovial belfry
# leaden torrent in any case, i dont think "bolstering your resume" is particularly valuable if y...

I wouldn't say I'm majoring in math to bolster my resume. If anything, finance is the concentration at my school that holds the most weight, along with analytics or a more traditional business concentration. I'm genuinely interested in statistics too, I see it as capable of offering novel techniques to comb through big data (which biology is facing and will be facing more).

I also think statistics and math are highly translational skills. Part of me is also interested in engineering...and math offers me the most flexibility? Maybe.

#

I guess partially...I'm answering my own questions. A bit of why I'm not committing is fear. Of course I'm worried about GPA too, and if math is my weakness, it would mean my GPA will not be soaring. Doing pure science or a business/economics concentration would mean a definitively higher GPA for me. How much higher? I'm not sure. My current math knowledge is single-variable calculus with very light exposure to linear algebra and multi-variable calculus.

But looking through the syllabus for some of the courses offered in my prospective major...I'm clueless.

...general topology, separation, compactness, product spaces, Tychonoff's Theorem. Special topics in analysis: Weierstrass Polynomial Approximation Theorem, Bernstein polynomials and simultaneous approxfunctions and derivatives, topics from divergent series, summation methods; r measure theory, the Lebesgue integral, Lp spaces, Holder, Minkowski, and and Cauchy-Schwarz inequalities; basics of Functional Analysis, normed spaces, Banach spaces and Hilbert space, with examples...

If I glance at the science majors and business/economics majors, I can vaguely understand what they would teach.

river moon
#

you can probably already grasp what cauchy-schwarz inequality is about, what's understood by separation and compactness and normed spaces

#

they're fairly simple concepts

#

you can just look it up and watch a lecture or two on youtube

jovial belfry
next blade
#

Not that I know the field, but I feel like a lot of the entrepreneurs in the biotech sphere have a deep understanding of their field. Given the kind of things people do in the sector this is not surprising (as in, people can get hurt if its done wrong - more so than if Facebook recommends you to friend a person you don't like). Who would you model your career after, Bob Langer, Craig Venter, Elizabeth Holmes? Whoever it is, maybe look at what they did in school?

jovial belfry
# river moon they're fairly simple concepts

I see. It might be because my interested in math is still relatively new. I used to despise math, naturally, because I did so poor at it. It was my only class which I didn't get an A in. But, my senior year calculus teacher in high school opened my eyes to math, and calculus was an entirely new feeling. Math made more sense? It felt more important for sure, and more applicable.

jovial belfry
jovial belfry
# next blade Not that I know the field, but I feel like a lot of the entrepreneurs in the bio...

There's an upperclassman at my school and I look up to him. He's also a lot closer to my age than Bob Langer, and understands the present-day ecosystem better (alumni like Jim Bankoff, although not in biotech, have come back to say that there are so much more resources to support entrepreneurship at my university nowadays than when they were students).

He's the ideal image of a person who bends both science and business fluidly into a successful startup. It was venture backed before he entered sophomore year and he won a entrepreneurial grand challenge that went against MBA students from leading business schools (bested Penn, Harvard, and MIT MBA students).

#

I used to think...yeah, I can be like him. But could I? Not really haha. We differ so much in talent. Also, although I admire his startup and his idea. The sector I want to go into in biotech has a larger time constant, for that, it takes longer to incubate my idea.

#

I guess a company I've been reading a lot about is Amgen.

#

Their second former CEO Gordon Binder wrote a book called Science Lessons: What the Business of Biotech Taught Me about Management. One of my friend in academia bought me the book as a book. To my initial surprise, my professors also knew it (I'm not surprised nowadays anymore...they're basins of knowledge), they suggested that I dive deeper into Amgen's earlier history.

#

Gordon Binder they said, is the public image CEO, the attractive Wharton/HBS graduate that attracts investor. But George Rathmann is the science CEO that built Amgen up, along with his team of like 57 scientists (Amgen only had ~60 employees).

next blade
# jovial belfry Haha...not Elizabeth Holmes 😭

So I guess my point including her was that she's the only high profile founder of a biotech company that I can think of with no knowledge of biotech. The others in my list have PhDs and a lot of experience, and now looking at Amgen, its founder had a PhD and a lot of prior experience in the field, too.

jovial belfry
#

But studying people like Rathmann, Roy Vagelos, or more modern success stories like Lee Schalop from Oncoceutics or Jeffrey D. Marrazzo from Spark Therapeutics, all of these individuals have had strong science and engineering backgrounds that made their companies.

#

The ones that don't fail or become Elizabeth Holmes.

jovial belfry
#

It's not like a Facebook or soft tech where the investment is low to start. It takes so much money to start a biotech startup, and is actually the industry that requires the most initial investment in capital. People just burn cash here.

#

Ah, there was a MIT professor, I forgot his name, he tried to make biotech more attractive to invest in through securitization.

#

Oh, right, Andrew Lo.

jovial belfry
#

I do try to read a lot of past success stories.

#

A bit of survivorship bias.

zealous garden
neat lintel
stiff pecan
#

No pain, no gain.

zealous garden
#

Yes

storm sage
#

urban planning is so interesting though

azure nymph
#

Urban misplanning is more interesting

zealous garden
#

Lmfao

#

My favorite part of university was the "free" gym and therapy

frigid matrix
#

tuition included gym?

zealous garden
#

It was somewhere in the fees

#

Gym, movie theater, therapy, bus, and train

#

All included somewhere non-negotiable on the bill

#

There's like tuition, and service fees

#

I think is how it listed it

vale plover
#

has anyone bought an international edition copy of dummit and foote? if so, how was your experience? was it missing any content compared to a U.S. edition? this can sometimes happen; see reviews of the intl. ed. of artin's Algebra. how's the printing and paper quality? passable or very bad?

zealous garden
#

The books have been delayed :animepfp_sad:

azure nymph
zealous garden
#

No opting out for me

#

I'm telling you that place was a scam

#

And then there's constant construction going on

#

For shit no one asked for

azure nymph
#

Ah I go to a public school so it's less scammy

zealous garden
#

Except the new parking deck because the expensive parking was always full

azure nymph
#

First years have to live on campus and have a meal plan though unless they live so close

zealous garden
#

Oh at mine first years had to live on campus no exceptions

#

Wait I think there was an exception for marriage

azure nymph
#

Yeah if you live with parents within 40 miles or something they let live off campus

#

Marriage and military too

zealous garden
azure nymph
#

Oh the real scams are the private schools

real fiber
azure nymph
#

My friend went to one, 20k/year after his aid and scholarship and religious classes the don't count at any other school

#

Oh and curfew of course

leaden crown
#

Can somebody help me with math to do with sound engineering? I'm so lost...

wooden flax
vale plover
wooden flax
#

even as a reference its not that great

vale plover
#

what would you suggest

wooden flax
#

Lang

vale plover
#

as far as i know D&F is the canonical undergraduate reference book. personally i prefer pinter and judson but they're not comprehensive. i thought you'd say lang.

wooden flax
#

great as both a reference and as something to learn from

#

just because something is used everywhere does not mean that it is good

#

could be out of instructional convenience, historical reasons, etc

vale plover
#

well i guess a hardcover of lang is cheaper than D&F, so i will look into it

small dust
#

i thot

#

everything written by lang was bad as both a reference and as something to learn from

vale plover
#

anything bourbaki is going to be polarizing

storm sage
#

D&F is great

#

I'm a big fan

#

lang is not great to learn from for a first pass through algebra

#

imo

fair mural
#

eric what is your name hmmCat

storm sage
#

孙山

fair mural
tall badge
velvet dagger
#

I only saw a bit of Lang and kinda liked it but by then I knew some stuff and again it was a small slice

wooden flax
#

which slice

little vine
#

I just got D and F and really like it

wooden flax
#

I've done Aluffi before Lang but I definitely think Lang could be a first book

fervent pebble
#

no

#

it could not

#

you have blinders

#

i saw it 💀

#

it most definitely could not

#

gods

#

reading it was like watching chalk dust fall to the ground after someone brutalized a chalkboard with their cat's nails

#

the most soul suckingly boring thing i've ever read

#

not even the fun soul sucking like reyna from val ong

#

maybe you could read it as a first book if you were some sort of masochist (except instead of pain you crave boredom)

#

or just a normal masochist tbh

#

i would rather watch plastic decay

little vine
#

Lang's algebra is super dry

#

His CA book is too

neat lintel
#

e

open aspen
#

i cant believe there are people who genuinely believe lang's algebra is a good first book in algebra

#

yall must be living in another plane of existence fr

fervent pebble
#

dryer than ben shapiro's wife ong

iron osprey
mortal oyster
#

Second time in here I see Lang being recommended as an intro to algebra. 😆

#

Maybe if you’re an undergrad Terence Tao, then you’ll like it.

bright hill
bright hill
small dust
#

serge lang, book author 🙂

#

yep ^-^

stiff pecan
#

No pain, no gain.

iron osprey
#

no rain, no drain

storm sage
rocky shuttle
viral wren
#

i flanked

#

atleast i got better grades than my father back in his day

wanton shoal
#

how tf is that flank

#

I’m happy if I get above a 65.

proud olive
#

Same

#

For hs courses that is

bright hill
#

Do you guys know any decent calender where you can schedule reminders?

#

Smth like Google calenders but it ACTUALLY pushes a notification

#

You know...

#

So that it ACTUALLY reminds you with the thing you want to be reminded with...

sick kite
#

With tasks on Google calendar it gives you a notification

#

I'm pretty sure

bright hill
#

Ok nvm

#

I had to dig a bit but apparently you won't get a notification if you dont set the time

#

And ig I wasn't doing that

latent remnant
#

I'm curious, for those of you here who pursued or are pursuing pure math in higher education, specifically fields of math with no practical use: why? Don't get me wrong, I find some of these fields fascinating, but what use is there in pursuing them?

bronze pelican
#

I like it

static loom
#

after embracing the meaninglessness of existence, why not pursue hedonistic desires to do pure math? whatcanisay

fervent pebble
#

why not?

#

i mean

#

it might be useful

#

and thats good enough for me

alpine kindle
#

some physicist in 200 years time might use a theorem inspired by a theorem that uses my work in one small step of the proof

static loom
#

a physicist reading pure math?

bright hill
small dust
steady portal
hybrid steppe
ember fog
#

hey all, this is a sort of rant. I've been chipping away at my first uni math class and I think I am failing the exam this afternoon. No excuse really, I think it's due to a lack of practice. I was able to get online worksheets answered but struggled with the module my uni provided. I also have not properly practiced the other half of the coverage. Anyway, my sister has always led me to considering a different career path. She's saying I should think if I am at the level needed for this math class, perhaps then I should consider shifting to the social sciences. My relationship with math has not been straightforward, I'm still constantly trying to address my math anxiety. It just sucks that this is the type of "encouragement" I get. I told her what I learned, which is that math skills arent fixed. She said yeah but you have to be realistic. You can definitely take math again later in life but you wouldn't want to be stuck in uni for 6 years because of math. She said I should think if I actually can learn math within a specific time frame.

#

idk just feeling really down about this, I still want to give myself a fighting chance even if it means dropping the class. I don't want to give up and I actually have fun experiencing little aha moments when I finally understand how to solve a problem

#

I've always been insecure about not being good enough for what I want to do and what I enjoy and this experience really reinforces that

#

I still wish I was better adept at math, that it comes to me more easily, that I breeze through my math classes, especially the first ones

frigid matrix
frigid matrix
#

they might be able to change something

ember fog
#

I've already talked to my professor, I told him I really want to learn math. I also said the issues I am facing with the math class. He said he'd be able to better assess my situation after the exam

#

I'm trying to build the confidence, it's just hard when a person close to me is saying well i might not be good enough

frigid matrix
#

well this wont help you do well on the exam

#

what class is it for

ember fog
#

It's a calculus class

flint thunder
latent remnant
#

all math is just calc n

#

algebra I is calc -4

#

arithmetic is just calc -6

#

any higher math is just calc n > 3

fair mural
light needle
#

yooo what are your guys opinion on spelling

#

Gelfand or Gel'fand

devout nacelle
#

I've never even seen the latter stare

azure nymph
#

It does

neat lintel
#

it does what grade are you in

#

bruh

#

use kahn academy then

void tundra
#

Hey does anyone know which brand of chalk produces the least chalk dust?

split island
void tundra
#

I might have a chalkboard problem because I'm using hagoromo and it produces more dust than expected

split island
#

I haven’t tried too many other brands that are marketed as dustless so I’m not sure

neat lintel
#

nothing its just khan much better

white sluice
#

if the diagonal of a trapezoid are equal, the figure is an isosceles trapezoid proof

how can i prove it

i find the distance of both diagonals

then idk what to do next

junior jolt
#

@zealous garden yo

#

u know conways game of life is turing complete right

#

what if you wrote a compiler that takes python and converts it into conways game of life 😂

#

or whatever language

#

i cant tell if this is a dumb idea tbf

leaden torrent
#

it's possible to do

#

python is among the worst languages you could choose for this, though

zealous garden
#

Yeah that's feasible but a terrible idea

#

It'd be a great meme though

#

Even better, excel to Conway GOL compiler

iron osprey
rocky shuttle
#

Xel'naga

mortal walrus
#

I've heard the term Ael-Naga before.

zealous garden
#

Because python uses very high level constructs

#

The complexity you have to deal with, within CONGOL, nightmare fuel

storm sage
#

python is not compiled

rocky shuttle
storm sage
#

if you choose a compiled language it'd prob be easier

zealous garden
#

Like to do python faithfully

rocky shuttle
#

But Xel'Naga is from StarCraft

zealous garden
#

You have to write a python VM in CONGOL

storm sage
#

because there's already a compiler designed to do the hard bits

zealous garden
#

I don't think you avoid this by transpiling either

storm sage
#

and then your compiler can take over from where the compiler left off

zealous garden
#

Is python ever compiled?

#

AFAIK the closest they do is packaging the interpreter with the program

#

And the C runtime they use in the libraries

mortal walrus
#

Some alien term I saw on a website once lol

rocky shuttle
mortal walrus
junior jolt
#

(top 10 reasons to learn c++)

#

also how would the compiler work, roughly speaking

#

idk enough cs to know this lol

#

i just realised it would be possible cuz ik what turing complete means

#

Like

#

would you need to build a CPU inside the game

#

and then just do whatever instructions u need with that CPU?

#

and also u'd need a section of the map to be used as a display ig

storm sage
#

turing completeness generally isn't concerned with questions of display

#

at the most basic level, you'd just need some way to receive input and some way to make output

zealous garden
#

I mean, once you build basic logic gates it's kinda the same in any medium

teal lion
#

i was thinking of writing a python compiler in haskell

#

but i don't think it's worth the time

zealous garden
#

Can you even compile Python

deft jolt
#

Hello people.

prisma swallow
zealous garden
#

That's a transpiler

#

Close enough ig

junior jolt
#

does that speed up the code lol

hollow sundial
#

@tiny forge BUY GOOG

fading zealot
#

How do y'all write your real number symbol (fancy R)?

long matrix
#

,,\bR

fathom swallowBOT
deep mango
#

But more connected up

#

The two left strokes and then the curvy one starting from the top

long matrix
deep mango
#

your R has too many double lines

long matrix
#

no i do that in writing

#

the latex was a latex joke

deep mango
#

Ha!

#

Stop copying me

#

I bet you don't do my 1-stroke mathbb Q

#

That's my masterwork

long matrix
#

this is how normal people do it...

deep mango
#

My lasting contribution to society

#

3 whole strokes

long matrix
#

,,\bQ

brittle socket
fathom swallowBOT
deep mango
#

and some would say they didn't even make a Q

brittle socket
#

Hello ricey

long matrix
#

yh show it then ryc

deep mango
#

Hello grass

static loom
# fathom swallow

it's weird if you look at this, it's like the Q has a weiner that comes out the bottom

long matrix
#

haha that looks dumb

long matrix
deep mango
#

i left some space where they should be touching

#

so that you can see the stroke

#

it's one of the best things ive ever brought into this world

#

i'm unironically very proud of this

static loom
# deep mango

I saw you post this before but this time I will try to remember and use it

deep mango
#

it takes a few times of writing it for it to feel right

#

but when it feels right it feels oh so right

long matrix
#

does this work for Q

deep mango
#

What

static loom
#

I feel like I'm making an 'h' version of @

deep mango
#

lmao

#

it's the opposite order

long matrix
#

texit ignoring me

deep mango
#

wouldn't the h version of @ be like:

long matrix
static loom
#

I'm doing it wrong I guess

fathom swallowBOT
static loom
#

I'm trying to make room for the p

#

and it's h-ifying it

deep mango
static loom
#

haha

deep mango
static loom
#

I need to push the | part further left

deep mango
#

yeah

#

it looks nice though

#

full of character

rocky shuttle
#

now I see an h in my blackboard Q's too sadcat

static loom
#

doodlin

rocky shuttle
crystal stream
#

I still can't draw zeta and xi