#serious-discussion

1 messages · Page 156 of 1

solar hawk
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REJECT HUMANITY

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EMBRACE DOLPHIN

native cove
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Well I've never received recognition, I thought maybe being blunt would help people get it.

solar hawk
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Get what

fresh comet
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I find this place to be quite helpful

latent edge
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Yeah you can learn analytic number theory for example

fresh comet
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try not to come off as boastful though

solar hawk
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I think I have a chance to escape rn

neat lintel
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I need to change my nickname

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I can't tho

latent edge
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"skill issue"

neat lintel
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ouch

solar hawk
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Deltoid

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How do I become like you

neat lintel
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aint no way vro i got 4.0 gpa in high school I'm so proud nglngl frfr skull emoji

latent edge
fresh comet
solar hawk
solid snow
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The most productive thing will probably be to get over the “nobody understands me” mindset because you decided to study undergrad math

native cove
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@neat lintel you could be trapezius

solar hawk
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I thought math was a popular topic

solid snow
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Not really

neat lintel
fresh comet
solar hawk
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Math or cs Ig idk

fresh comet
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even now, there are probably twice as many physics students as math students here

solar hawk
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What about the schools

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Ohh

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Well I mean that’s diff opencry

latent edge
ripe needle
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This. I don't have a single person IRL that likes math or has even taken math courses after HS. I socialize just fine.

latent edge
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If you mean studying what I did in HS

solar hawk
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Iv found plenty

latent edge
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I wouldn't recommend it if all what you care about is prestige and shit and getting into Ivy league or allat crap

solar hawk
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But I can still somewhat socialize with everyone I think

neat lintel
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I wanna be like deltoid fr

native cove
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Unrelateable

solid snow
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Even if you do find someone to talk about math to, its a pretty dogshit conversation topic unless both of you are working on something / similar field of study.

solar hawk
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And they didn’t even sound like the same thing

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Y didn’t give up in the middle

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Wait Hgr bleak I hope I don’t give up on you

latent edge
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in what context

solar hawk
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Like dropping something

fresh comet
solar hawk
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I never complete stuff ;-;

fresh comet
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that's why I think that if you read with me it'll be easier for both me and you

solar hawk
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To keep eachother at it ig

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That reminds of

native cove
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If you lost motivation watch those little dark age math edits on yt

solar hawk
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Me of a game

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I used to play on Roblox

fresh comet
solar hawk
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I gotta get back on Roblox tbh

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I paid a dollar

river moon
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I made one little dark age edit and it gained 9000 views and youtube banned itded

solar hawk
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For some robux and I bought 1 months worth of something with it

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So I suojld@play to get my worth’s out

native cove
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Roblox is literally for 4 year Olds and 54 year olds

solar hawk
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Bro

latent edge
solar hawk
latent edge
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Well you gotta stick up with it when it gets tedious

solar hawk
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It’s never boring it’s just

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The problems take fucking forever 😭😭😭😭😭😭😭😭🤬🤬🤬🤬🤬

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WHY

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Progressively harder

native cove
# solar hawk Bro

To whom it may concern, I have come to the understanding that the term "bro" is a meaningless abbreviation of the term "brother" that is only used to call attention to someone's action or behavior (the implication that it was foolish or deemed unacceptable by his or her peers).

solar hawk
latent edge
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well

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I recommend a crash course in sieve methods

solar hawk
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Sieve?

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Is that a study method

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Or is that roots of polynomials

latent edge
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yes

solar hawk
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Oh

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Wait

latent edge
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study method for something

solar hawk
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Ok

fresh comet
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I'm all for it

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get amukh into AnaNT

solar hawk
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Bro this stuff is number theory 💀💀I suck st numbers

latent edge
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you gotta realize the problems will get harder over time

latent edge
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get good

solar hawk
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I’m not allowed

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Dami told me

latent edge
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wtf

solar hawk
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To finish Rudin or Abbott

ripe needle
solar hawk
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Legally binding contract

solar hawk
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!!

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Dw deltoid

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Ima hit you up when I’m finished abbying

latent edge
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Yeah maybe do a bit of Rudin

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You don't need all of it for sieves

solar hawk
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Yea but I need all of it before move onto next subject

latent edge
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like idk lebesgue theory is a must

solar hawk
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Otherwise I will be stoned by the animals in my room

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Ok not lebesuqw

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Just Riemann

ripe needle
solar hawk
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And stop there

latent edge
solar hawk
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I’m DONE with Rudin

solar hawk
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I’m- I’m still in chapter 3

latent edge
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u need a motivator fr

solar hawk
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My motivator was spivvy 😭 but I got too motivated

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And I can’t wait until finish Rudin

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And apparently spivvy is and

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Bad

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But it’s ok nobody will know

fresh comet
fresh comet
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ITM

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Introduction to Topological Manifolds

latent edge
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I think my breaking point in math was Hartshorne and sieve methods

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Hartshorne's AG is bleak

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I mean I did have real struggles in analysis but Hartshorne is different

sonic sentinel
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can animals "forget to take their stuff" like humans sometimes do

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like literally any object

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im guessing they can't cause the number of objects they use and situations to use them in are small enough that practice and biology makes it easy to remember

river moon
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there are birds that store mouse and lizard corpses on tree branches and then forget to eat them

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and squirrels that bury nuts and then also never dig them up again

neat lintel
river moon
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that's poor planningcatthimc

neat lintel
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yea pencil and paper kinda helped with that one

icy void
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Where can i read basic mathematics by lang for free

solid snow
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dont spam your question in every channel

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this was also answered hours ago

surreal bison
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The Bull-Leaping Fresco is the most completely restored of several stucco panels originally sited on the upper-story portion of the east wall of the Minoan palace at Knossos in Crete.

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Year: 1450 BC

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Yes, that's right, Frescos have been around for that long

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The Minoan civilization developed from the local Neolithic culture around 3100 BC, with complex urban settlements beginning around 2000 BC. After c. 1450 BC, they came under the cultural and perhaps political domination of the mainland Mycenaean Greeks, forming a hybrid culture which lasted until around 1100 BC.

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@keen sinew I always had some interest in history, and not being in highschool had increased that

keen sinew
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ah i see

surreal bison
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...you are very cool now, interesting.

keen sinew
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haha i wanted to give to the server

keen sinew
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thats just the mod i picked to dm

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i didnt know who to pick

surreal bison
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you're giving things? i'll take things

keen sinew
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idk yet

shadow aspen
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The entire English language can be summarised to “Sphinx of black quartz, judge my vow”

next schooner
surreal bison
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and all of mathematics can be summarized to "{,}, ∈, nand", and an infinite set of distinct letters

keen sinew
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idk if i can yet

next schooner
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im a mod.. i deserve gifts

surreal bison
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you see the problem?

keen sinew
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oh i need some sort of proof

surreal bison
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my point is that a set of letters does not contain all the data about a language

next schooner
surreal bison
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for a formal language you need rules like rewriting rules

surreal bison
next schooner
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Yoo is it generative grammar hours

surreal bison
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really you should say "what abotu "="" which i forgot

shadow aspen
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A person looking at bianary would say it’s summerized in 1s and 0s

next schooner
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Good job globe chomsky is Here

surreal bison
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you do need logical equaliry

surreal bison
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just construct the natural numbers the usual way

neat lintel
surreal bison
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but a set of letters doesn't suffice to describe a formal language

next schooner
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grammar

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You need a fuckin GRAMMAR mate

solid snow
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yyou actuallyy dont

shadow aspen
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My point being everything comes from parts, and we can think of rules to create these parts, but no matter what, it all comes back to the parts

solid snow
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xD

shadow aspen
solid snow
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otherwise there exists nonunique factorizations of your word over the alphabet

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and so you can't treat them as fundamental "parts"

shadow aspen
solid snow
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im using code in the mathematical sense

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from language theory

surreal bison
surreal bison
solid snow
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a code is a language without the empty word that has unique factorizations over the alphabet

shadow aspen
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Anyway, I’ve dug myself into a hole over a joke. I must abduct myself from this hole like the green goober I am. Remember, the numbers don’t mean anything Mason

solid snow
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i.e $X \subseteq \Sigma^+$ is a code iff. $ w = x_1,..,x_n =x_1',..,x'_m \implies m = n$ and $x_i = x_i'$

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well each x_i = x_i'

fathom swallowBOT
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josemom2

solid snow
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\Sigma is an alphabet and \Sigma^+ is its kleene closure without the empty word

neat lintel
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I have the slight suspicion we are getting into theory of computation here.

solid snow
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yes

neat lintel
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I'm gonna start reading introduction to the theory of computation this weekend. Call me in a year and i'll be able to not talk about it still

ripe needle
icy void
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Can i get high paying jobs as a math or statistics major

iron copper
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No

proven knoll
dire glen
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trying to understand a bit better what does it means for 2 functions to be lin independent. I know what it means for vectors

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the functions 5 and cos(x) are linearly independent.
but i can take x=0 and multiply cos(x)by 5 and I would get 5

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why am i not allowed to do that?

neat lintel
vivid halo
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The value of a function at each x is a different coordinate of a vector in an infinite dimensional vector space

dire glen
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ok i need to consider all the values of the function

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gotcha

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also, i've just realized the dot product for 2 functions as a parallel for fectors

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it's same thing but vectors have a discrete amount of values

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and functions are continuous

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so i'm taking theintegral and multiplying them

old oak
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Yep, it's essentially the same thing, as nGrupoid pointed out, function spaces are infinitely-dimensional vector spaces.

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So they're still vector spaces and a lot of things carry over very nicely from the finite dimensional case

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And some things get much gnarlier

dire glen
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and this dot product idea is great because i can look at it also frmo the perspective of "how much a function is similar to the other?" and if you think about it you can say the exact same thing when you take the dot between 2 vectors.

old oak
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Yes! Very good observation.

dire glen
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i feel with linear algebra now i'm connecting many pieces together

jagged forge
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linear algebra is pretty OP

dire glen
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many a-ha moments

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OP?

jagged forge
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overpowered

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my first a-ha moment was realizing i could use linear algebra to solve linear differential equations

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well, only very simple ones. but still it was cool, and i hadn't taken DE's

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(still haven't actually)

dire glen
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i'm doing them now, and stoing fourier series. so i've started learning about them and found some videos that explain the relation between fourier and linear algebra

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i feel i'm on the upper floor now and i can see everything from a bit higher up

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so in the case of functions, it's called inner product right?

jagged forge
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well, in the finite dimensional case it's also called inner product

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it's just a generalization of the dot product, i suppose

dire glen
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but you cannot call dot product for functions?

jagged forge
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no i haven't seen the term used that way

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or rather, no one writes $f\cdot g$

fathom swallowBOT
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suremark MSC2020 60G40

jagged forge
#

except when they mean plain multiplication i guess

old oak
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But the fundamental mechanisms are the same

jagged forge
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or E[XY] :^)

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sorry ill show myself out

glass peak
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You also get lots of inner products that don’t look as much like the dot product

old oak
jagged forge
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yeah that makes sense

dire glen
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cool

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🙂 thank you!

neat lintel
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Every hilbert space of same dimension is isomorphic so id say every inner product looks the same

glass peak
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That is actually a fair point, but I was getting at the fact that inner products don’t need to be just term wise multiplication and addition, or the obvious generalisation to the integral but yeah I get that point

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But I was mostly just trying to make it clear to someone learning this for the first time that you can think much more generally than the dot product

raven plaza
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Another way to think about this is that every inner product is the dot product under an appropriate choice of coordinates

dire glen
solid snow
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a dot product is a specific case of an inner product

glass peak
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An inner product more generally is just a symmetric, positive definite bilinear form, so more than the dot product can satisfy that

raven plaza
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But notice this depends on your choice of coordinates x, y, z

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For any inner product, you can choose coordinates so that the inner product is the same as the dot product you get from the coordinates in the above manner

dire glen
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i could continue asking questions on this but i think it's more advanced than what i know now

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i'm still not sure what you mean

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maybe i would need an example

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is "the same"?

glass peak
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Consider Tr(AB^T) where A and B are both square matrices, that’s an inner product. I think it’s quite easy to see how that looks similar but not exactly like the standard dot product

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and of course you can always just change basis appropriately to recover the dot product

dire glen
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i don't know what you've written sorry.

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i'll study this one day

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dont worry too much

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thanks for trying 🙂

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i only kno ^T is transpose

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but Tr i dont kno

rocky shuttle
dire glen
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unrelated question but kinda related

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did fourier knew about the linear algebra approach to its series?

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was it already a thing?

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did he get there through some other intuition?

tacit magnet
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Due the solutions of wave equation

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In 1 dimension

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The solutions are u_k(x,t)=(A_kcos(kt)+B_ksin(kt))sin(kx) with k an integer (the k appear due boundary conditions)

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So the sum of all solutions is also a solution of the wave equation too?

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That was Fourier idea

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At least what they told me the first day at harmonic course

glass peak
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That was also how I was taught it in my waves course

tacit magnet
proud olive
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That's the only way

deep mango
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To compute the determinant, pick points at random from a gaussian and compute the proportion whose preimages under A land in the unit cube

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And transform it correctly

proud olive
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Monte Carlo is for bussys

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Ok I honestly got no clue why this gives the correct answer

deep mango
proud olive
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Am I just going to use a finite series of e^A?

deep mango
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Oh for the log of det e^A

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Thats hard to prove

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It comes from jacobis identity

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For d/dt det(A(t))

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Which is like

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Something dumb like tr(adj(A) dA/dt)

proud olive
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What in the world is adj(A)?

deep mango
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And you apply that to e^tA to get a diff eq

proud olive
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Adjoint?

deep mango
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Classical adjoint yeah. The one with the cofactor determinants

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Or "adjugate"

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It's something like det(A)A^-1

deep mango
river moon
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the collection of derivatives of determinant functionsotrue

rocky shuttle
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Jacobi's formula catking

proud olive
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Yeah this is not going to be easy for me to compute. I need to find some closed form of the determinant and that's going to take some time

rocky shuttle
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You only need the multilinear property of the determinant and the cofactor expansion

proud olive
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Oh, ig this involves some induction stuff then?

open mauve
#

Hey guys how do i learn units I have never seen before on dimensional analysis khan's video on algebra unit 3

sonic sentinel
#

i used to play tf out of bedwars

tropic mica
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Years later

sonic sentinel
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for some reason now when i think about playing it now there's some weird anxiety in the background of fearing failure

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hopefully about to play bedwars solo for the first time in years, wish me luck

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3rd place ahh

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3rd place again

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fuck my body is shaking

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how did i use to play this

neat lintel
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Guys need advices for a beginner in Maths and going to the second year of HighSchool I'm bad at Math and I really need your help or a roadmap that you would advise yourself if you are in my place !

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I've a passion on math about this subject

calm vessel
#

if you have calculus at school you can watch this series

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it really helped me

neat lintel
native cove
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de^x/dx= xe^(x-1)

granite hound
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(d/dx)x^x = x*x^(x-1) = x^x

neat flare
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I know this is dumb but what symbol substitute as the divide symbol? my sci cal divided button is broken

glacial panther
#

power rule only works when the base of the exponent is a variable and not constant

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you can get the derivative for e^x by impliclity differentiating

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y=e^x

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ln(y)=x

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y'/y=1

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y'=y

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y'=e^x

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the derivative for a^x where a is a constant is ln(a)a^x

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the derivative of log_a(x) is 1/(xln(a))

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the derivative of ln(x) is 1/x

spring falcon
glacial panther
#

is that multivariable?

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i haven't seen that notation yet

spring falcon
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F_x is the partial wrt x

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It makes implicit differentiation much easier

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Comes from the chain rule for multivariable functions

fading moon
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may the great minds of Gauss and Riemann etc guide me through the difficulties

neat lintel
hexed flint
#

Can someone help me with this linear relationships rq

fallow matrix
#

Howww to like makemer it visible

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Wtdhshee

dusty moth
#

Hello discussion 2

near halo
dusty moth
#

Quintessential quintuplets

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Nino something

near halo
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link to pfp

long matrix
#

just reverse search it wtf 💀

rocky shuttle
# dusty moth Quintessential quintuplets

Hi, found this cute vid from an anime page on fb and would like to share it with all of you. for some reason, I cant seem to find the real creators here in youtube but for disclosure, i did not make this, and only want to share it all of you.

Fb Page From: https://www.facebook.com/goodanimememes/videos/2384482071799547/?eid=ARAhsHEzonv0MhFRr-lq...

▶ Play video
shell thorn
#

how do i solve this:

"At the moment B, John was 50% older than Joe was at moment A, when John was as old as Joe was at moment B.

Questions were true/false questions based on the above task.

The age difference between John and Joe is B – A years at moment A.

Joe's age is 4 x (B – A) years at moment B."

solar bronze
#

#math-discussion message
Well I'm going to end this by saying: the first and last rule of design is let it be what it is, and not what it is not.

rocky shuttle
solar bronze
#

kek

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Blocked by UMG smh

cunning plaza
solar bronze
#

I can't change my server nickname bleakcat

fresh comet
#

I think you need Active or smth for that?

solar bronze
#

I shall wait patiently to become Andrew Porter, resident crank

old oak
#

I think people will realize even without the tag

solar bronze
#

As opposed to understanding my viewpoint and why I say what I do just as I've asked what others' are

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Saying that baking a cake is not mathematical is common sense.

solar bronze
#

😂 it's not important lol

severe lodge
#

anybody here is familiar with the book "secrets of mental math: the mathemagician's guide..."?

severe lodge
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would someone recommend me that book? i struggle with mental calculations

cunning plaza
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Hmm I'll check it out. I'm curious.

severe lodge
#

eh, i disagree. i've done plenty of math thus far and i haven't really learnt to do math better.

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"study smarter, not harder"

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i'm picking up that book because i'm struggling, silly :p
(no offense)

cunning plaza
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Maybe I'll read it one day.

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Sorry for the earlier bad advice.

scarlet lark
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wait we need to do mental calculation in math.

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💀

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I thought that was the job of the computer.

neat lintel
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yeah

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sometimes its faster than using the computer

scarlet lark
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Of course.

glass peak
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It is in my books, I’m not working out eigenvectors by hand if I can help it

scarlet lark
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"sometimes"

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As an exercise, you might as well make a program to do it for you.

neat lintel
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i do that all the time

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for stuff i don't want to do in my head

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if you can do it in your head/on paper faster than it takes to pull up a program and enter in the values and have it calculate, then do it!

scarlet lark
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(I hope everyone does that. We're not in the era where we need to spend hours to find an approximation of the square root of 2)

neat lintel
#

yeah

cunning plaza
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This sort of stuff wouldn't help much with higher level math, but hey, being able to do simple arithmetic in your head quickly is nice.

(And yes I will use a computer.)

neat lintel
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yeah, i can do stuff like 3 digit number x 3 digit number in my head

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and simple integrals, is that normal?

scarlet lark
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Of course.

cunning plaza
neat lintel
#

well........

glass peak
#

Quick mental maths is also very much a skill

neat lintel
#

thats the thing i dont have a lot of practice with integrals

scarlet lark
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If you do them a lot, at some point you will be seeing integrals on someone's face. 💀

glass peak
#

I could do a lot in my head very quickly in highschool, but I can’t do shit without some paper now

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And my ability to add and subtract numbers is probably worse than a lot of 10 year olds

cunning plaza
glass peak
#

Because I just don’t do it very often anymore

scarlet lark
#

I miss the integrals phase.

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I might as well just do them during my breaks at this point. 💀 But the reason why I liked them was because they were not difficult to not solve and too easy to get them right away (sometimes).

cunning plaza
scarlet lark
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Hey man I loved the flow.

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But now I have to look at my whiteboard and go "hmmmmm, maybe, nah"

cunning plaza
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I guess computing 20-some integrals and being done can feel good.

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For a moment.

scarlet lark
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Very much.

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For a moment is very true.

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I did one the other day and was not that impressed after an hour.

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💀

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But I would like to get my hands on (and have the time) to go through (Almost) Impossible integrals.

neat lintel
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i ask chatgpt to do math problems, but i tell it to write code to solve it

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alright i got one for you

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wait lemme get the piece of paper

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so basically

scarlet lark
#

🤔

neat lintel
#

its an acceleration function defined in terms of the exponential of the corresponding height function

scarlet lark
#

I'm already lost. 💀

neat lintel
#

so basically

scarlet lark
#

I'm joking.

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Wait, what is a Height Function?

neat lintel
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so basically f(x) is defined in terms of ∫ f(x) and e^((∫∫ f(x))/c)

scarlet lark
#

🤔

neat lintel
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i need to find the second integral of f(x)

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this seems nearly impossible if not impossible

scarlet lark
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Wait you want to find a function such that $f(x) = \int f(x)dx$

neat lintel
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my plan was to solve it through lots of computation for the thing i need it for

fathom swallowBOT
#

NotRealJohnny

neat lintel
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no

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its DEFINED in terms of the integrals

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but its not equal to integrals

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wait lemme get the piece of paper

scarlet lark
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:whaa

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Get the paper please!

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Get paper towel if you need to.

neat lintel
#

good luck

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ima transcribe it now

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,rotate

fathom swallowBOT
neat lintel
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oh yeah, ph(T) = p_0 * e^(height(T)/H_n)

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all stuff except for T is constant

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accel(T) = (0 if T >= B_T else (m_f - m_0)/B_T(B_isp - ph(T)/C_isp)) - GM_B(m_0 + T(m_f - m_0))/(R_B + height(T))^2 - 1/2*ph(T)*velocity(T)^2*AC_d

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velocity(T) = ∫ accel(T) dT

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height(T) = ∫∫ accel(T) dT

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problem is to find formula for height(T)

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@scarlet lark here's your almost impossible integral

scarlet lark
#

hold on I gotta go bald real quick.

neat lintel
#

lol

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"go bald" and "real quick"

scarlet lark
#

Alright, I am (almost) bald.

neat lintel
#

what did you find?

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hair

rocky shuttle
#

fur

tawdry pecan
#

icy void
#

Why should i not major in math

visual breach
#

Why should you

broken trail
#

is anyone good with linear equations?

craggy gust
neat lintel
#

what do you think is the most stimulating activity in mathematics you have experienced?
(whatever action , from solving problems to learning new things ,
(in any context you want))
(by stimulating I mean addictive/exciting/motivating ,whatever is understood by something that generates strong emotions)

#

(or what you think in general is the most stimulating activity in mathematics?)

craggy gust
#

most recently it was proving there is a rational number between any two distinct positive real numbers

#

just felt counter intuitive because there are more reals than rationals

#

so it was cool it works out

neat lintel
#

how does it felt?

#

(I mean , in a more descriptive way)

#

how a ranking on this would be?

fervent pebble
neat lintel
#

yeah , you think there is something more stimulating?

#

I am trying to check what is the more stimulating part of mathematics

fervent pebble
#

maybe some people really like rigor

#

idk

#

i cant think of anything that could be more stimulating than solving a problem

#

in math, i mean

fathom swallowBOT
#

Serphic

fervent pebble
#

im not going to check if that's correct but if it is it's well known

#

is it useful?

#

there's probably some cute identities you can have with this

#

@sturdy gulch

#

depends on if u consider that useful or not

sturdy gulch
fervent pebble
#

i think you should look up the connection between the fibonacci numbers and the golden ratio

sturdy gulch
fervent pebble
#

wdym by useful then 😭

sturdy gulch
# fervent pebble wdym by useful then 😭

idk im just trying to apply it to something else 😭 i was just bored and was praying that i was finding something new (which i know for fact has almost definitely been discovered im just coping bc i didnt see it anywhere else)

fervent pebble
#

ah

#

not to pop ur bubble

#

oh okay ur aware

#

having said this

#

this is good!

#

playing around on ur own, figuring out (to you) new things

#

it's wonderful practice

sturdy gulch
fervent pebble
#

so there's not much to say for usefulness or wtv

#

but i am proud of you

#

and you should be proud of urself

sturdy gulch
#

welp time to move on to another thing to mess around with then!!

fervent pebble
#

gl!

vivid halo
#

checking my answers against the computer program the original authors used to formulate them (which I didn't have access to until the end) and seeing everything match up perfectly

#

that was really great

sturdy gulch
vivid halo
#

a very detailed and explicit computation with the cohomology of Shimura varieties

#

the answer in the case I studied is like 2+ pages long lmao

sturdy gulch
#

wait

#

i might've actually seen that before

vivid halo
#

the content of the computer program might be a ltitle easier to understand

#

you can sort of guess what the answer should be if you do very careful computations of like

sturdy gulch
#

YEAH i've seen hte langlands program

vivid halo
#

you count points on genus 2 curves (so curves of the form y^2=f(x) for f(x) degree 6 with no repeated zeros) over finite fields

#

the answer of the cohomology computation encodes a bunch of information about point counts over finite fields like this

sturdy gulch
#

wait
fields can be finite????
i am so cooked i did not know that 😭

vivid halo
#

yeah

#

I mean the standard example is integers mod p (Z/pZ)

#

that is a finite field with p elements, for p prime

#

in general you have a unique (up to isomorphism) finite field with p^n elements for every prime power, and that's all of them

#

they aren't just integers mod p^n in general, it's a little more complicated than that

sturdy gulch
#

aaand now im lost again why is it prime numbers 😭
yknow what i should probably just learn cohomology or smth
actually i cant

#

arent there like

#

3 years of pre reqs

vivid halo
#

prime numbers are relevant because like

#

you don't want things like zero divisors if you want a field

#

like integers mod n when n is composite are bad

#

for example with integers mod 6 you could take the nonzero elements 2 and 3, multiply them together and get 6, which is 0 in this ring

#

you shoud never be able to multiply two nonzero elements to get zero in a field

sturdy gulch
vivid halo
#

same issue obstructs integers mod p^n being a model for the finite field with p^n elements

#

anyways once you have finite fields you can do algebraic geometry over them, and there is a lot of stuff you can deduce from basic problems around like, take some system of polynomial equations over a finite field, counting the number of solutions over finite fields

#

the nice thing is a computer can do this and it's very easy to just do this by brute force (although maybe harder to do this in a smarter efficient way)

sturdy gulch
vivid halo
#

it's as simple as just like

#

let's say you just do this for integers mod p, so that's very easy to implement

#

if you had a system of polynomial equations in n variables over Z/pZ you would just like

#

idk literally just try all p^n combinations of inputs lol

sturdy gulch
#

see this kind of stuff is why i kinda wanna do pure math but like
too much math sadcat

#

like it's so exhiliriating when i finally understand the thing and can actually solve it and use it and whatever
but the 9 hours of bashing my head into the wall trying to understand how/why for every single topic is going to make me go insane

merry plank
#

Z/pZ so cute/strong and heckinbased

sturdy gulch
# merry plank Do it

thing is i want to have an applied use for math because
engineering sounds very fun and i want a job that i'll enjoy
could do pure math as like.. a minor or hobby or sum

#

fr now tho i could actually just get on the way there

ripe needle
sturdy gulch
#

wasn't there something about prime numbers or sum that ended up being used in cryptography

ripe needle
ripe needle
# sturdy gulch wasn't there something about prime numbers or sum that ended up being used in cr...

Elliptic-curve cryptography (ECC) is an approach to public-key cryptography based on the algebraic structure of elliptic curves over finite fields. ECC allows smaller keys compared to non-EC cryptography (based on plain Galois fields) to provide equivalent security.Elliptic curves are applicable for key agreement, digital signatures, pseudo-rand...

obsidian ingot
#

by chance
can some1 please tell me whats wrong with my code?

dire glen
#

"odd and even functions. Most functions are neither of course."
why ?

#

i tought odd meant not even.

mortal vortex
#

I could be wrong but this is the answer that came to my head just now
When thinking about numbers, yeah theyre either even or odd
But functions are different, the definition for an even or odd function is completely different to an even or odd #

vivid halo
#

A function f is even if f(-x)=f(x) and odd if f(-x)=-f(x)

#

Typically neither of these properties is true

dire glen
#

ahh

#

so the fourier transform of a function that is neither, will have both sin and cos right?

raven plaza
#

Yea

north topaz
#

Mhm

lapis ingot
#

In AP exam, should I do Calc AB or Calc BC exam?

I haven't done research on many universities so I'm not sure about the majority of universities. From what I read from a few uni, Calc BC is often equivalent to higher courses.

But my friend told me Calc AB is for natural science and Calc BC is for data scientists, statisticians. So I should do Calc AB if I want to pursue professions relating to engineering or computer science.

Can someone help me to decide on a course to study, in case I can't do both?

radiant remnant
#

BC

#

BC is simply just better

#

it’s a superset of AB, so calc AB is basically just the first part of calc BC

frail elm
#

yo

radiant remnant
#

it’s not really meant for a field like science, it’s just elementary calculus

frail elm
#

I'm new

rocky shuttle
#

hello new, i'm nu är vi här

sonic sentinel
#

i MEGA lost the history bee

#

5 participants

#

scores: 4, 15, 16, 18, 20

mint patio
#

Any electrical engineering knowers in the chat

mossy marten
#

any tips on how I can make my math steps more readable

#

I feel like it could be made to look simpler

#

(it's just a u-sub btw)

river moon
#

it's already perfectly readable

rocky robin
#

anyone here use pens?

#

my pilot g2 died and im curious if you have any pens you guys really like

mossy marten
#

I use the Frixion clicker 07, only pilot pen that my school bookstore carries

mossy marten
digital galleon
rocky robin
#

thanks guys, anything in particular that you like about the pen?

digital galleon
rocky robin
#

I mean if the pen is good you shouldnt leave a massive dent

#

unless the pen is running out of ink that just seem like user error

#

yeah I have the same problem with pencils

#

they just rip through the page

keen sinew
#

Random question for anyone: what’s the most interesting part about history to you?

grand sapphire
#

the dinasours

vast wraith
#

the rocks (genuinely), then music

#

history of mathematics also very juicy

keen sinew
vast wraith
#

yes

graceful flower
fresh comet
#

if you mean something human based, then... idk?

#

the 20th century has always piqued my interest

#

but there's other parts of human that are very interesting too

fresh comet
solar hawk
tropic mica
#

Yo so why

#

Is discord primarily guys but moderators on discord servers are mostly girls

old oak
#

It's thankless, unpaid drudgery; men are culturally primed to foist such things onto women

glossy flower
#

Give me a Arithmetic problem

#

Plss

#

this 🍉this

neat lintel
solar hawk
#

fr

neat lintel
#

Just learning Roman history atm lolol

solar hawk
#

cool

silver prawn
#

I like historical linguistics

neat lintel
#

Same

silver prawn
#

It’s originally a demonstrative like “that” but with an unstressed pronunciation bc of its frequency

neat lintel
#

Oh fr?

#

I was talking about

#

you know what I'm saying, I want the history of

#

||this joke is so good that noone understands||

#

Indeed words were not spaced until like a thousand years ago

junior gate
#

The only thing standing in the way between my wife and her GED is math. She failed once and I need to motivate her to try again

native cove
#

Yall I just got my results for my application and I got accepted into tj (Thomas Jefferson high school for science and technology)

sonic sentinel
#

what if we live in a hypothetical and some day an event completely unexplainable by science happens and it never happens again

ripe needle
silver prawn
#

i left it, it was not very engaging

ripe needle
silver prawn
#

At least I still have some colleagues to message every once in a while from the olden days

errant peak
#

if y'all turn in an assignment a couple minutes late do y'all mention it being late or just not mention it and hope for the best

mortal vortex
#

If it's not too late than I'd just not mention it

tawdry pecan
#

it depends on how much your teacher likes you

daring parrot
#

any recommendations on how to refresh my math skill? Been a few years after high school and i wanna go to college and major in math

daring parrot
tropic mica
#

like is it precalc that you need refreshment etc

fresh comet
#

okay I just want to see something

#

to anybody who sees this:
what is your opinion on Axler’s Linear Algebra Done Right?

ripe needle
fresh comet
#

4th

flat harbor
#

i studied with it and it was absolutely fine

solar hawk
#

determinants were in the 3rd edition too

#

they were just at the end

#

and dami says

#

done terribly.

#

apparently

#

allegedly

ripe needle
#

Yeah it basically doesn't count from what everyone says. Hence the 4th edition

flat harbor
#

im always gonna be on this position

solar hawk
#

im still gonna read the 3rd ed

#

just cuz i physically own it

#

and i already started it so long ago

ripe needle
flat harbor
#

that if ure someone whos never learned a Thing before then u shuld be approaching all advice abt studying that thing with a massive grain of salt

#

it u read ladr and think determinants are done wrong... just read abt determinants from another source

solar hawk
#

thats pretty smart i never thought of that

flat harbor
#

in a world where u can access pretty much any txtbook u want, textbook choices shuld be the last thing to have strong opinions abt

ripe needle
#

Every subject I use 2-3 textbooks

flat harbor
#

yea like

#

a lot of the times i think just reading the same paragraph written by two different ppl helps me understand it better

#

a lot of the times i think ppl first learning a topic fixate too much on "im reading [author]" rather than "im learning [topic]"

fresh comet
#

agreed

flat harbor
#

u presumably grow out of it so i guess thats fine

ripe needle
#

I understand higher level courses, but it's crazy to me how many people in book recs spend weeks trying to find the perfect middle school geometry book like in the time it took you to ask about it 10x you could have just grabbed any book and gone through it by now monkey

flat harbor
#

id agree depending on where higher level lies

fresh comet
#

if a teacher wanted to teach from a book, should they pick LADR?

flat harbor
#

i rly only think it means anything to minmax txtbook choices if u know how to get thru a book to a satisfactory point on ur own

flat harbor
velvet dagger
#

To be fair middle school geometry to them feels like higher level math to us

fresh comet
#

my opinion on LADR doesn't go either way

flat harbor
#

i also assume if ure someone whos teaching smth

#

uve looked at it for long enough to have fantasised abt giving courses on it anyways

#

so u know what u want from a textbook and what kind of experiences u wanna reinforce

ripe needle
# velvet dagger To be fair middle school geometry to them feels like higher level math to us

Yeah but someone who doesn't know anything about that could go through that faster than say a uni student learning complex analysis for the first time.

At that level there's a lot more resources online such as YouTube and more amount of people can help them such as in this discord. and variance between books isn't as such a degree as maybe between LA books.

If you have multiple people over multiple days telling you to grab a book, you should listen instead of thinking "Nah I should just ask again in 2 more days, these 40 answers don't know what they're talking about"

flat harbor
#

i think its our responsibility to just not engage those kids

velvet dagger
#

I'm not agreeing with them so much as saying

flat harbor
#

we're enabling the intrusive thoughts

ripe needle
velvet dagger
#

It's kinda the same reason why, if you're not careful, middle schoolers doing y=mx+b will see "algebraic geometry" in the advanced channel

#

And think oh yeah this is where I should be asking

#

Because to them that's advanced lol

ripe needle
#

True

flat harbor
#

the service we provide to middleschoolers by operating help channels is dumping money into the money hole

#

i doubt any of them evolve to become great discussiers...

fresh comet
#

I mean I went from help channels to discussier

#

so they can too

flat harbor
#

i smtimes see them try

#

i guess thats the nature of long term investment

fresh comet
#

hmm

#

idk I just forced my way in lmao

#

now I live in two worlds on this server

jagged forge
flat harbor
#

i think it shuld be noted that like

#

such a small amnt of ppl in chat isee are conversable

fresh comet
#

am I conversable

jagged forge
#

no u suck

#

im sorry that was mean

flat harbor
ripe needle
#

Not Dami with the this react 😭

velvet dagger
fresh comet
#

lmao

velvet dagger
#

Nah this wasn't revenge so much as

#

The fact that you ruined it makes you suck

ripe needle
fresh comet
#

dw I tell myself that 50x more than everyone else combined ever will

flat harbor
jagged forge
#

ok now ur just making me feel bad

flat harbor
#

close rhe help channels and this chat will flourish

jagged forge
#

here, have a cookie 🍪

fresh comet
#

sorry

jagged forge
fresh comet
#

???

jagged forge
#

now i feel even worse!

fresh comet
#

what why

velvet dagger
flat harbor
#

damb. u made him cry

jagged forge
#

i feel bad for making you feel bad enough to apologize

fresh comet
#

what I felt bad for making you feel bad 😭

ripe needle
velvet dagger
flat harbor
#

"then why did you ruin it?" is so raw

#

i can feel the anger

velvet dagger
#

Wait a second

flat harbor
#

the soy anger

fresh comet
velvet dagger
#

Did I have a dyslexia moment?

fresh comet
#

wdym

velvet dagger
#

I thought you said "more like asking harpz to help hayley"

#

And was like yeah the joke is they're the same

fresh comet
#

oh

ripe needle
#

lmfao

velvet dagger
#

I thought you didn't get it, and when you were like yeah I did

ripe needle
#

bruh moment

velvet dagger
#

Then it seemed like you were just correcting an obvious joke to kill it

fresh comet
#

bruh that's why I said harpz to help harpz lmfao

velvet dagger
#

And I thought wow okay no fun

#

Okay yeah Hig you're fine now

fresh comet
#

calling me hig instead of hgr hmmcat

#

(I'm okay with it)

jagged forge
#

higgins

velvet dagger
#

I'm just reading your current nickname!

#

Didn't even know hgr was a thing

fresh comet
#

ah

#

do you remember me as ING

jagged forge
#

human growth reaction

#

hgr

ripe needle
#

You're Hig because you can never be Her

velvet dagger
#

Ah right you're ing, I forgot about that

#

Or were idk what you go by precisely

#

Is this a bit or a new name or what

fresh comet
#

I changed my name on April fools but I was the only one who wasn't kidding kekw

fresh comet
velvet dagger
#

Gotcha

fresh comet
#

higher, hgr, hr, hig, whatever

#

it's all fine to me

#

I like hgr because it looks nice to me idk

velvet dagger
#

I have amnesia wrt old usernames since we didn't talk a ton so I probably will just know you as this now

fresh comet
#

and it's 3 letters for 3 letters (ing -> hgr)

fresh comet
#

amukh and the others had a harder time adjusting lmao

#

speaking of which... it's about time to get rid of this bra-ket name lmao

velvet dagger
#

Oh it's bra-ket

fresh comet
#

blame hayley and metal

#

they started it

velvet dagger
#

I was like wait is the her part your pronouns? Then why do you have he/him pronoun role?

fresh comet
#

😭

ripe needle
#

It took me a second to figure it out

#

Hence everyone saying "Hig"

fresh comet
#

I literally didn't even realize

#

until just now

#

that it could be misinterpreted like that

#

😭

ripe needle
fresh comet
#

now I am higher!

#

let's see how long this username lasts until I just end up reverting to Higher...

ripe needle
jagged forge
#

are you positive recurrent or null recurrent

fresh comet
#

sometimes I see people with exclaimation marks at the end of their names, so I'm trying it out

ripe needle
fresh comet
#

on mathcord, that is

ripe needle
fresh comet
#

the only other one was the bra-ket name

jagged forge
#

the only two names i've had are suremark and suremark MSC2020 60G40

fresh comet
#

oh

ripe needle
#

idk

fresh comet
#

(ing)²123

#

that one

ripe needle
#

60G40 Stopping times; optimal stopping problems; gambling theory

fresh comet
#

all of the weird names I've had are basically because of helpers shenanigans lmao

ripe needle
fresh comet
#

some of them will change their names to smth weird

#

and then I follow suit

#

oh actually my user name was

#

.

#

for 2 hours

#

lmao

velvet dagger
#

Is there a username history?

ripe needle
#

@jagged forge

fresh comet
velvet dagger
#

Ah

fresh comet
#

the only other username I've ever had on any server was my first

#

"grief beyond belief"

jagged forge
#

i mean it is right next to it

#

i want to do probability tonight but i need to look at this model theory textbook and figure out whether i should ask to join the model theory reading group

ripe needle
#

Probability can wait

fringe summit
jagged forge
fringe summit
#

They will learn to fear and rejoice our coming

ripe needle
ripe needle
#

In stock markets and FOREX, whole numbers and Fibonacci sequences are common stopping times

fringe summit
#

This is definitely something else

ripe needle
jagged forge
#

i mean ik what a stopping time/rule is, idk what regime means

fringe summit
#

Likely related

#

Since it’s about a binary tree of cubes

ripe needle
fringe summit
#

@fervent pebble

fringe summit
ripe needle
#

A lot of it is in trading papers

fringe summit
#

Saw some group of 3 working through this exact condition (and the generalization in the follow up paper made by stitching this together iteratedly) today

#

Very nifty to see stuff worked out

fringe summit
jagged forge
#

the only thing i found googling about regimes were regime switching models

#

like something called markov switching multifractal

ripe needle
#

Yeah I saw that

#

It seems "Regime" doesn't have a standard definition and it's whatever the author defines or uses in their paper.

#

@jagged forge Should @fresh comet learn C++ or C#

jagged forge
fresh comet
#

I've done some Java in the past

ripe needle
jagged forge
#

ah. c# is like java

ripe needle
#

C# = what Java was/is supposed to be

fresh comet
#

or maybe I should just go pick up python

#

and learn C#/C++ later

jagged forge
#

how proficient are you in java?

ripe needle
fresh comet
jagged forge
fresh comet
#

I would probably say "not too proficient"

ripe needle
fresh comet
#

probably not?

#

I can't tell tbh

#

projects can be so varied

ripe needle
#

Yeah but can you do a for loop off memory lol

fresh comet
#

yeah

ripe needle
#

Some people can't even do that

fresh comet
#

I haven't touched Java in almost a year but I still remember the basic stuff

#

if statements, loops, methods, classes, arrays, etc

#

OOP stuff I've kinda forgotten

#

inheritance and whatnot

jagged forge
#

python has a little bit of oop but it's pretty invisible a lot of the time tbh

fresh comet
#

I guess the most substantial thing I've ever made was a re-creation of a certain flash game, albeit very scuffed

#

it was done entirely on Eclipse though

#

so idt that would count as a project?

jagged forge
#

isn't eclipse a code editor, why would that make a difference?

fresh comet
#

idk, I've never known anything else

jagged forge
#

is it only a real project if u do it in vim KEK

fresh comet
#

and I'm not sure what "real" programmers use lmao

#

Deltoid recently got me to download VS Code

jagged forge
#

vscode is nice

fresh comet
#

idk how making a project works tbh

jagged forge
#

well really i mean, anything that's like, not just a homework assignment

#

something that has a few different pieces to it

#

and requires a little bit of craftsmanship

#

obviously it can vary widely in scale

fresh comet
#

well yeah but I meant like

#

I don't know how programmers actually make their projects lmao

#

like what do they use

jagged forge
#

oh, i misunderstood mb lol

fresh comet
#

what tools/software do you use

#

and how do you do it

jagged forge
#

well it's less about the tools imo, and more about how you think

#

i mean tools are important but code design is more universal than that

fresh comet
#

makes sense

jagged forge
#

some people will insist you make uml diagrams for everything

#

and sometimes diagramming makes sense

fresh comet
#

but surely you don't use one IDE for an entire project right

jagged forge
#

uhhhh

#

i do

#

lol

fresh comet
#

hmm

flat harbor
#

i always felt like smth like this when i first did coding

#

my first foray was into minecraft modding

jagged forge
#

here are like, the most important things for making a project imo

flat harbor
#

and i felt an insurmountable difference between my code and the pros bc they used multiple files

jagged forge
#
  1. have a clear enough idea of what you want to make
#
  1. figure out the different pieces involved in making the thing
#

uhhh

#
  1. make the pieces?
fresh comet
#

that doesn't sound so different from what I've made before ig

#

it's the details that ig I don't really understand how programmers do it

jagged forge
#

so like, is there an example you're thinking of that's like, you can't imagine how that could be done

ripe needle
fresh comet
#

wait hold on now I'm confused by my own confusion opencry

ripe needle
fresh comet
#

idk I guess I never felt like anything I made in the past was a "real" project ig

fresh comet
#

so I always thought that programmers were making things way above and beyond

ripe needle
#

Coding is probably the biggest imposter syndrome of anything in the world

fresh comet
#

but I suppose the process really is similar eeveethink

jagged forge
#

i remember feeling that way when i was reading other people's code as a roblox programmer

ripe needle
jagged forge
#

i was like, how tf does anyone write 10,000 lines of code

ripe needle
#

It's not more complex, it's just more

fresh comet
#

I guess my biggest issue is like lack of experience

#

once I make a real project, I'll understand better ig

fresh comet
jagged forge
#

yeah probably

fresh comet
#

2k lines

#

lmao

#

but... it definitely wasn't super efficient bleakkekw

jagged forge
#

let me see how many loc my project at work is

ripe needle
#

When I made my first game I realized it wasn't any more complex than the MVP, it wasn't more complex classes, it was just more classes. More art. Etc

fresh comet
#

I think my scuffed flash game thingy used... 4 classes? eeveethink

jagged forge
#

yeah sometimes the name of the game is scalability

fresh comet
#

but tbh they were not too complex

jagged forge
#
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 Language             Files        Lines        Blank      Comment         Code
--------------------------------------------------------------------------------
 Rust                   116        33011         4159         2774        26078
 Markdown                24         1653          226            0         1427
 YAML                    25         1337           19           10         1308
 Toml                    25         1506          153           82         1271
 JavaScript               2         1649          203          178         1268
 SQL                     55         1096            0            8         1088
 Python                   5          563          100            6          457
 Protobuf                 2          341           40           35          266
 Plain Text               2          205           33            0          172
 JSON                     1            1            0            0            1
--------------------------------------------------------------------------------
 Total                  257        41362         4933         3093        33336
--------------------------------------------------------------------------------
ripe needle
fresh comet
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so the copy paste rumours are true...

ripe needle
#

@fresh comet The Game of Life is a fun and simple coding project

jagged forge
#

and here is the stats for the open source project that my project uses

--------------------------------------------------------------------------------
 Language             Files        Lines        Blank      Comment         Code
--------------------------------------------------------------------------------
 Rust                   727       360651        32983        50763       276905
 Markdown               125        22043         4102            0        17941
 JSON                    12         9361            0            0         9361
 SQL                    124         5673          306          106         5261
 Protobuf                 2         1936          289          234         1413
 Toml                    28         1711          144          489         1078
 Bourne Shell            19         1427          191          459          777
 Plain Text               7          863          129            0          734
 Python                   8         1156          203          221          732
 reStructuredText         3          166           31            0          135
 HTML                     3           59            8            4           47
 Batch                    1           52            9            1           42
 CSS                      1           86           15           36           35
 JavaScript               3           89            5           51           33
 Docker                   1           37           10           16           11
 Makefile                 1           38            5           24            9
--------------------------------------------------------------------------------
 Total                 1065       405348        38430        52404       314514
--------------------------------------------------------------------------------

400k lines of code lmao

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and then the linux kernel is like

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30 million lines of code or smth

ripe needle
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I don't even know my biggest project

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The F-35 has ~8 million LoC

fresh comet
#

that would be fun to make

jagged forge
#

too easy, u can do it in 1 line of code

fresh comet
#

knowing me though, it would probably take like idk

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forever

ripe needle
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I know someone who worked on a flight sim and that I think was over 1 million LoC

fresh comet
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or smth

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I sucked at doing graphics stuff

ripe needle
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Okay I know it was over 1 million but I don't know how much

fresh comet
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I don't expect that I've suddenly gotten better in my 1 year's absence from coding

jagged forge
#
life←{⊃1 ⍵ ∨.∧ 3 4 = +/ +/ 1 0 ¯1 ∘.⊖ 1 0 ¯1 ⌽¨ ⊂⍵}
ripe needle
jagged forge
ripe needle
fresh comet
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anything animation/graphics killed me idk

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I can try GOL tho

jagged forge
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whats that

fresh comet
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game of life

ripe needle
fresh comet
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I hate typing so I am becoming amukh

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with his abbreviations

jagged forge
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lmao

fresh comet
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wait wtf

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Salagos is light blue

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very active hmmcat