#serious-discussion

1 messages · Page 73 of 1

neat lintel
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tu's are tu easy in my opinion

storm sage
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Yeah the exercises in Tu are kinda underwhelming

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Is that Lee's Intro to Smooth Manifolds

neat lintel
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yeah

storm sage
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Gotcha, thank you!

neat lintel
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there's another manifolds book by another lee but it's less popular

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john lee vs. jeffrey lee, i think

fervent pebble
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u shld rip it and put on libgen in a year or so

neat lintel
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it's already on libgen

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i have a physical copy of the book too

fervent pebble
#

angel in my heart fr

tall minnow
spare terrace
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hi everyone:) is anyone available to hop on a call and study?

tall minnow
shell wind
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Hey guys

mild falcon
silver spear
shell wind
#

im loosing my fucking mind

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lmfao

mild falcon
#

lmao

spare terrace
mild falcon
#

electromechanics 🤮

spare terrace
#

down to do work together? ( i literally have no self control)

shell wind
#

can i ask yall a question

mild falcon
mild falcon
shell wind
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idk if i can post it here

mild falcon
#

sure

spare terrace
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wait can i ask how old u are i dont rlly like working w others w a large age gap just out of respect

mild falcon
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17?

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yikes

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ig thats a no

spare terrace
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thats fine acc im 17 too

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u can call whenever id love to work!

proud olive
deft echo
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Hi, does anyone have any tips on doing math research in high school? Like, how do you create something useful when you don't know a lot of math?

tulip jasper
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Or to be more specific, what do you wanna create?

brazen path
#

do any one want to form a study group to study a book on calculus or something for data science?

upbeat shore
deft echo
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alright thanks

astral path
#

This is quite ironic, do you remember bullying me for not using LaTeX? How the table turns KEK

neat snow
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Yo

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How can I send image

neat lintel
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talk a lot

deep mango
neat snow
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I only have 3 channels

icy spade
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Could i dm anyone my math problem? I need help :c

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If any math wizards there id appreciate it

ancient prism
icy spade
ancient prism
icy spade
#

I posted my question yesterday in one of the questions channel but nobody answered me for 6 hrs :d
Idk maybe i phrased the questions very badly.

icy spade
cloud ravine
#

Hello! Can you please recommend any active physics severs for help in high school level physics problems?

cinder zephyr
frank orchid
#

Why would one box with the dangers
Boxing for a living sounds horrifying

torn willow
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Why do people wrestle?

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Or well sumo

frank orchid
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IDK

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A documentary said for glory and the challenge of a fight.

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Wait does exercise make you feel pleasure somehow afterward?

ancient prism
# frank orchid IDK

kind of random but I have to ask: you have a rubik's cube as a pfp but can you solve it? and if yes, what is ur pb?

frank orchid
ancient prism
#

wow same as me, my personal best is like 23~ seconds, but I stopped solving the 3x3 and focused on the 4x4

neat lintel
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hi

ancient prism
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pb on 4x4 is like 1:40

neat lintel
#

hewwo

uncut socket
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@neat lintel Your discord settings are different because I see 5 available channels

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That's different

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Hit the three dots, and click on "show all channels"

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That should fix it

autumn osprey
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@placid finch dms

placid finch
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i'm pretty much going to ignore all message requests

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if you want to ask me something ask it in this server

autumn osprey
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Is that a formula you happened to know or did you derive it?

placid finch
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[ 1 + 2 + \dotsb + n = \f {n(n+1)} 2 ]

fathom swallowBOT
placid finch
#

this is well known

autumn osprey
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Ah I see

placid finch
autumn osprey
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Snow upside down is mous

placid finch
autumn osprey
hybrid plume
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hi

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i nead halp

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can yuo halp me

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???

sick prism
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What is the best way to study for AP Calculus BC?

leaden torrent
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doing problems

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especially previous tests

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but i mean actually doing problems, like sitting down with a pen and paper and attempting them without an answer key

neat lintel
alpine comet
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You can get used with the format of an exam, but it's a bit dumb to study for an exam

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~~every SAT, GRE, PhD qualifcation exam ever KEK ~~

slow arch
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Studying is important

alpine comet
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Studying for the sake of knowledge and understanding is important

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Studying for an exam is not.

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The end goal of studying is not to pass any exams.

slow arch
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If you don't pass the exam you can't study any further

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because you are gate kept away from progressing any further

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Also exam questions are stupid and you need experience working with stupid to know how to deal with it

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What's the equation for a linear function with a y-intercept of zero and a slope of 1 function:

y = x
WRONG
Answer: x
:HUH:

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I hate it

tall minnow
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for instance, if you are good enough to read English novels from Charles Dickens, then GRE English test should be easy

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and in fact that was one of the design goals behind those tests

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however it also means that not every exam is like that. Some exams (pre-uni math exams in certain places) put an emphasis on niche tricks that will probably not see much use later

split pawn
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i love that dark blue

alpine comet
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I'm explaining what an ODE is to someone who doesn't know integral

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KEK fun time

terse cedar
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hey guys

steep patio
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yo

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can anyone solve quadratic equations just by looking at the graph

neat lintel
#
>>> def Sum(n):return n*n+n>>1
... 
>>> Sum(10)
55
>>> Sum(11)
66
>>> Sum(5)
15

this only works for positive integers

cinder zephyr
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if you don't care about float vs int

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/2 is one less character

neat lintel
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what do u think the best way to revise any subject in general is

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i need advice

cinder zephyr
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oh wait but you need parentheses nvm

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problems

neat lintel
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i have shi memory

cinder zephyr
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do problems

neat lintel
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i guess

neat lintel
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i think using def is better in this context

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creates anonymous function
gives the anonymous function a name

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but if i actually wanted to golf it, it woulda been something like (lambda n:n*n+n>>1)(10)

neat lintel
# cinder zephyr `/2` is one less character

that would f it up i think
n*n+n>>1 is the same as (n*n+n)>>1
whereas for n*n+n/2 we would have n*n+(n/2) which isn't what we want
to fix that we would need to add parenthesis and that's one extra character

cinder zephyr
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Yea

midnight carbon
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n*n+n>>1 python "golf"

rotund siren
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i need your guys's thoughts on something

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suppose there's a checkerboard pattern

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with black an dwhite squares

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and also assume that it's a mathematically perfect board too

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it has been fabricated to infinite precision

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do the black squares touch at the corners?

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or not

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do any squares of the same color touch at all?

alpine comet
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Good question. It boils down to: what colour is the border?

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Depends on your convention, you can have any answers you like

mighty pilot
rotund siren
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I dont think there is an answer to what color the border is

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I dont think same-colored squares touch at the corners

surreal sapphire
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what does touch mean

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in the model in my head the intersection is empty but you can put a continuous path from one to the other

rotund siren
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how can that be though

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if you can draw a continuous line from black to black

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couldnt you do the same for white to white?

surreal sapphire
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[0,1) [1,2] dont intersect but certainly there is a continuous path from 0 to 2

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maybe you have to think a bit more

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the squares will be [0,1) x [0,1) or something in my head

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you can also do [0,1] x [0,1], then they intersect though 🤷

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so yeah, you have to clarify what touch means and then model it mathematically

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then its obvious

rotund siren
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I define touch as being able to draw a continuous line on the same color between same-color tiles at the corners

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ie it means you can draw a line from black to black

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without it touching white

surreal sapphire
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then it will be hard to make them not touch i think

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if you dont allow gaps in your board

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or "lines between the fields"

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say you have borders and each square is (0,1) x (0,1)

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then they wont touch

rotund siren
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I dont think they touch

surreal sapphire
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this isnt a matter of what you think 😛

rotund siren
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suppose one can draw a continuity from black to black

surreal sapphire
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you describe your model mathematically and then you just answer it

rotund siren
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then every point on that continuity exists on black, right?

surreal sapphire
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yes

rotund siren
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therefore, any continuity from white to white cannot intersect

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the black-black continuity

surreal sapphire
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well

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ok, in my first "solution" you have points that are both white and black

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maybe?

rotund siren
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idk

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this is too complicated

surreal sapphire
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yeah, some corners would be both

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i guess from a manufacturing pov you take closed squares and glue them together

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and then every border has both colors

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otherwise you have to make a choice and then what do you do

thick elk
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I misread the word continuity as community and was like wtf discussion did I just tab into

kindred relic
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hello?

slow arch
gentle iris
#

o,VL<}OL
Mvl

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v;

sonic sentinel
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i love small-scale, temporary solutions to systemic failures! i love it when people spend their resources on problems they are in no way responsible for!!

neat lintel
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lmao

regal juniper
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hi all
im planning to combine all resources online and combine them into one large megabook
for stem,humanities,econ, and the trade schools,etc
from hs to postdoc
think:certs,resources to learn,workshops,events,groups,funding/angel investors/vc,competitions
Progress is coming along but tbh does anyone have any suggestions/help?
Currently im not putting links to actual resources for learning (eg:rather than putting edx courses for compsci;I linked to edx)
dm me if i dont respond as i dont check here often

tall minnow
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no one will care to read a megabook

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rather, the more complicated the topic, people will want lecture notes that get to the point instead of the weeds

regal juniper
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Im not putting topics in there (well;more specifically; ill prob be putting links on where to learn a general course curiculum or book recs)

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Im putting resources and opportuinites-think-igem,math olympiads,funding to go to schools,etc
Sorted by field
eg igem would be under stem>biology, math olpympiads under stem>math

so its easy for anyone to read and find what they are looking for

wanton geyser
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Do people use tablets when they read math textbooks? I was wondering if anyone know of any good software to sync up pdfs from a tablet to a laptop

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I mainly read on my tablet because i make a lot of annotations to clear up some arguments (also i write out my exercise answers in the pdf itself lol).

vast surge
winter hinge
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@hollow sundial why did you become eigenzeta btw

hollow sundial
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when he changed his name to eigenrocket, i called him eigen#239485 making the point that everyone's named eigen

winter hinge
#

Is that a joke based on the meaning of the word eigen ?

vast surge
winter hinge
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I know enough linalg and german to know, thx

winter hinge
hollow sundial
winter hinge
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Oh

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Why are there so many eigens

vast surge
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because linear algebra

hollow sundial
#

no

hollow sundial
winter hinge
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Time to change my profile again

hollow sundial
#

baguette-eigen (again)

winter hinge
#

Kein Baguette nicht mehr

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I don't like the shape of the pfp. Dammit

hollow sundial
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bezier is indeed hell

sharp cave
wanton geyser
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Ive been using my galaxy tab s6 lite, with the stock notepad app. I thought itd be nice to synch the annotations up with my laptop (for when im working on graphics and need to reference some multivariable)

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Google drive sounds like a good idea tho

sharp cave
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Then whenever you edit the file and close it, it should get uploaded on the cloud, and Google drive will download the changes on your laptop

wanton geyser
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Okay, that sounds like a nice strategy. Think I'll look into it more tomorrow (very late where i am lol)

atomic wraith
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does anyone happen to know a youtube channel with thousands of videos about math? (and medicine) I'm trying to find it but I can't remember the name. I remember he has a british accent, is lesser known, and has videos covering undergraduate topics in entire playlists covering entire topics. it's just one person (not numberphile, not khan academy)

vivid halo
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are you thinking of Richard Borcherds channel

atomic wraith
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nope

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he has lots of videos about medicine as well

orchid sierra
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well, I think khan academy does have some good things. I think is the best one when it comes to a more easy way to learn because u have everything in one place. Whatever, I understand that taking classes out of your native language can be a challenge, and the same way works with the approach.
Why u don´t try to find another youtube channel? Or give another chance to Khan? There´s also IA now..

orchid sierra
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lol that´s new, he really teach´s math and biology

mint patio
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@errant ridge

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What the fuck I never understood why space-time are related until now

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That makes so much sense LOL

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This isn't space-time why'd I say that

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I meant like

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why space is "curved"

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lol

peak tide
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massive things bend space, true story

mint patio
peak tide
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quantum mechanics is far freakier than (what little I know of) general relativity

neat lintel
#

quantum mechanics is just H = -h^2/2m\Delta + V and commutator

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just like how classical mechanics is just H = mv^2/2 + V and poisson bracket

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hope that helps 👍

mint patio
neat lintel
#

how to not forget remarkable identity ☹️

stuck shoal
#

I mean yes

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But also no

neat lintel
#

?

charred folio
#

hello

neat lintel
#

hi

modest knot
fast moat
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why can't i post images

deep mango
fast moat
deep mango
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because there's no need for images in the discussion channels

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if you want to post memes go to #chill

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the only way images got used here were to interrupt conversations

rocky shuttle
proud olive
neat lintel
alpine comet
neat lintel
#

the entirety of the internet is available to you

#

H as i wrote it is the schrodinger operator. the schrodiner equation is ih ∂ψ/∂t = Hψ

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ψ is your wave function or state or whatever

alpine comet
#

I swear to god I saw this equation somewhere

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Or was it Dirac's?

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Still nope

frail lagoon
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Wdym lol

ripe wasp
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operator

alpine comet
#

<@&268886789983436800>

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This smells fishy

little vine
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I think it's passed

limpid summit
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hi y'all

slow arch
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I need help!

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Where do i go to study! Systems of linear, non-linear and imaginary equations!

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Also where do i go to study that one method for getting the determinate of a NxN matrix by getting to a 2x2 matrix

neat lintel
slow arch
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I figured out the 2nd problem. ( Finding determinate of NxN )

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triangle matrix op

echo tundra
slow arch
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Yes

split pawn
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ok so hi discussy2

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is anyone not ded here

tight marsh
#

guys trying to finish undergrad year 1 maths in one month.. Estimating 60 hours. Is it realistic?

rocky shuttle
tight marsh
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year 1 maths is only Linear algebra and calc 1 + linear algebra and calc 2

echo tundra
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I think rushing maths is not a idea in general unless you're exceptional or the maths you're reading is something you already know in which case it's more of a revision

peak tide
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from start to finish in one month, doubtful

tight marsh
peak tide
#

sounds like a software thing, not a math thing..

tight marsh
#

youtube

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on youtube

echo tundra
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It's a website which has videos on lot of stuff right

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Ah yes it also has a YouTube channel

tight marsh
#

it's on youtube

echo tundra
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I'd rather recommend Paul's online notes or Khan academy if you prefer videos

tight marsh
#

can you link

tight marsh
echo tundra
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Khan academy doesn't have linear algebra though

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For Paul's online notes, just google it

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It's gonna be first or second link

tight marsh
#

HOLY FUCK

rocky shuttle
#

I'd recommend the bright side of math, too

tight marsh
#

calc 1 is 37hours

twin forum
#

ε < 0

echo tundra
#

Yeah, bright side is also a good option and professor Leonard I think

tight marsh
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ok guys professor leonard or khan academy?

echo tundra
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Try few videos and see, both are pretty good

tight marsh
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ill do professor leonard then

twin forum
#

No not him

regal night
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Who's prof leonard again?

torn willow
#

Not Leonard susskind

hybrid grotto
#

My Son In Law Is My Favorite Child

little vine
#

Is that the title of a book? Lol

tight marsh
#

👁️👄👁️

frozen kernel
#

Can someone help me how to become good at mate,? 8 great to be Exact

#

Help

mossy hound
#

Who can help me? What similar symbols are with /psi

leaden torrent
#

what do you mean similar

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like, other greek letters?

neat lintel
#

There's quite a few!

leaden torrent
neat lintel
# leaden torrent

its honestly impressive how someone can learn the entire greek alphabet inadvertently if they were at least somewhat interested in the sciences

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wonder how math education is

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i would guess the greek letter usage might be confusing

ionic star
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i learned it on purpose

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there was a scene in butterfly effect i was impressed

eternal glen
#

Yeah I learned the greek alphabet through math but I still forget the names of xi and chi mixed up

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Xi is just a whacky letter imo

open aspen
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sometimes I'll forget some capital letters and start asking a question and realize I forgot the name and just stutter like an idiot

eternal glen
#

You just know when someone pulls out the ( \Xi ) you're in for some shit

fathom swallowBOT
#

dirichlettt

alpine comet
#

Look, not even that far off

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My handwriting is horrible, and it cannot distinguish psi from phi. Sometimes I write whatever, and never read the actual text. My head just fills in the blank.

eternal glen
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This is why I Tex everything as soon as possible

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I wouldn't say my handwriting's bad but it's a courtesy to myself 3 months down the road cramming for exams

alpine comet
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My notes are for the sake of writing 😄

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I can reproduce pretty much anything important I ever wrote. I memorise better when I write it down, but otherwise I don't really need notes.

neat lintel
#

even in class

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just gets problematic if it is like

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graph theory

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orr anything that requires drawing

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like i am not gonna tikz mid class

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i am not insane

eternal glen
#

I use mathcha and quiver for my tikz diagrams

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It's been years since I've actually written a line of tikz and I have never looked back

neat lintel
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i just looked it up

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seems like word but more latex-y?

full temple
#

What is a TKX diagram

eternal glen
neat lintel
#

wait thats mighty useful now that i think about it wow

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will keep that in mind

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might actually be very helpful for future classes lol

eternal glen
#

Another one recruited.

neat lintel
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yeah i mean i also never really was interested in tikzing manually

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waay too inefficient for what its worth

eternal glen
#

I hear you can also use inkscape to convert photos of sketches into a .svg file and you can like change the line colors and strokes etc
Never used it before but it seems interesting

neat lintel
#

seems

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way too good to be true

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but honestly wouldn't be surprised i guess

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wtf cheeto

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you expect the people here to be clairvoyent to know

flat harbor
neat lintel
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tikz moment

flat harbor
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i used to use inkscape to draw diagrams for my Insight papers

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then my lazy bitch nature caught up with me

eternal glen
#

My lawyer has advised me not to answer this question.

flat harbor
#

im my own lawyer

eternal glen
#

I usually try to avoid directly using tikz code if I can because of the compiling times
Most projects I've had have been fine with me just importing a png from mathcha

flat harbor
#

mmmm

neat lintel
#

holy shit though mathcha sure does take a whole lot more lines

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than manually doing it

flat harbor
#

can i use it to draw feynman diagrams

alpine comet
#

Ugh, feynman diagrams

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Tbh, the only thing painful about LaTex is figures. Diagrams are Ok, but try working with spatial geometry, e.g. polytopes, and you'll suffer immediately

eternal glen
#

Probably, there's a whole bunch of premade drag and drop components that can snap together at certain points
Most of the stuff I have ever needed to do in tikz mathcha can do decently

flat harbor
#

hmmm

alpine comet
#

I almost gave up and went with hand-drawing my thesis.

eternal glen
#

I abuse the hell out of \vspace even though I should probably do something smarter

neat lintel
#

LETS GO

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@placid finch another \vs and \hp believer

flat harbor
#

u can!!

eternal glen
#

Oh yeah the tutorial page I forgot about that

flat harbor
#

i use vspace and hspace nonsparingly to make things look pretty then have to edit a line three paragraphs up and it makes me want to throw up

placid finch
neat lintel
flat harbor
#

"there are better solutions" they all take more time than \vspace{0.5cm}

grizzled grove
eternal glen
#

Ah but you see I've been shilling a website that lets you do these in LaTeX without wanting to die for the past half hour

flat harbor
#

this image is from a docpage for a wysiwyg latex thing

grizzled grove
#

You mean Lyx?

flat harbor
#

lyx

grizzled grove
#

I love Lyx...sometimes it troubles when have to deal with class files or preamble

flat harbor
#

i dont think ull ever catch me using an editor to type out a full document

tall minnow
#
#

I can not find any real mention of advanced users using this

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important would be the ability to insert any raw latex code or handle biblatex

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I don't see any mention of biblatex here

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aruhodo presumably it would be a good tool to create tikz stuff but then just use LyX for full latex compliance

slow arch
#

\vspace

alpine kindle
mental stratus
#

heyyyy me and a friend are thinking of doing a small study group for LA using axler's linear algebra done right, anyone down to join? we'll discuss lots of challenging problems

raven plaza
#

<@&268886789983436800>

steel mantle
#

Got it

mint patio
#

Can anyone give me the tldr on how analytic number theory works

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how do you use calculus to study integers sully

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all I know is you guys have weird functions defined as series and somehow they do cool things

remote hornet
#

commute those graphs

leaden torrent
#

Look up the product formula for the Riemann zeta function

alpine comet
leaden torrent
#

Note that it involves primes

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Extrapolate from there

torn willow
#

I guess you talk about infinite series and infinite things mostly in analytic NT?

alpine comet
#

It's a long way to extrapolate, and i hate that ppl keep referring to that infinite product, as if anything with primes will be relevant

leaden torrent
#

No that's genuinely where analytic number theory comes from

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Obviously there's more connections but that was the first result that made people consider applying analytic techniques at all

alpine comet
#

I won't call it that way tbh

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To me, it's always Dirichlet's theorem that was the start of it all

mint patio
#

Hmm

leaden torrent
#

Dirichlets theorem is a direct generalization of the result I mentioned about the Riemann zeta function

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And Legendre initially conjectured it because of said fact

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(it came like a century later)

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My point stands

mint patio
#

Where did the product formula come from?

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That seems like such an

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unnatural

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function

leaden torrent
#

Read the proof

alpine comet
#

Sure, lambda calculus predated Turing machine, doesn't mean it's the origin of modern CS

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My point still stands

leaden torrent
#

I mean we literally have a big flashy and useful result that was generalized as the foundation of the field

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Turing machines are not an obvious generalization of lambda calculus

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They're a new idea

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Dirichlets theorem is the natural generalization of the product formula for zeta

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Furthermore the Riemann zeta function is like obviously analytic

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Whereas if someone just sees the statement of Dirichlet it's probably not clear at first how analytic techniques apply

alpine comet
#

That product literally came from Euler who played with the sum after he solved Basel's problem. It's a very long stretch to call it the origin of analytical NT. Beside computing the probability of two numbers being coprime, it's not significantly involved.

leaden torrent
#

Unless you've seen that concrete example

leaden torrent
#

But I still think it's safe to say ring theory was born with Galois

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It's just that these things take a while to go from "result on the cutting edge" to "enough work has been done to form a corpus that makes it a distinct field"

alpine comet
#

Turue, but Galois showed how modern algebra can be relevant to Maths as a field, by proving something nontrivial (constructing the polynomials non-solvable by radicals). That infinite product to me is nothing but a rather quirky remark, a corollary.

mint patio
#

That’s insanely cool

alpine comet
#

Dirichlet first demonstrated how it can be involved as a field, showing something very random, outside the field, and nontrivial.

leaden torrent
#

Okay go from Dirichlets theorem to explaining why analysis is relevant without referencing a zeta function

#

The statement of dirichlets theorem is very discrete

#

Did you want me to say "look at this not obviously analytic result and go from there"

mint patio
#

And this is “where analytic number theory comes from” because we’ve now related primes to a cute series (which are objects we can fuck around with a lot with analysis)

unreal nova
#

the feathers of a bird are actually a bee on the tip of the earth drinking wine'

neat lintel
#

Studying math can be overwhelming for me as I have ADHD. Do you have any advice?

trim quiver
#

What’s a segmentttt

solar hawk
#

If you like something it’s easier to focus

#

And for me (not sure if this applies to you) but it has to be easy access, like right in front of me

#

If I have to navigate to some website, log in, (insert 10 other steps), and then wait for the page to load just to study, and then have to actually focus on the material it’s just not gonna happen

bronze pelican
#

Dirichlet's proof

static loom
#

That proves there are infinitely many prunes

#

Lol auto correct

bronze pelican
#

Euler product is really an algebraic fact

static loom
#

Dirichlet recognized that this analytic proof of the infinitude of primes could be pushed further, but on it's own it is a cool result by Euler, not just trivia

bronze pelican
#

Analytic number theory is really more about methods used to solve problems. like you can prove results about algebraic objects (say primes for example) using analytic methods. The 'analytic method' used to prove infinite of primes is really trivial, just note a harmonic series diverges. So I agree with megumi that that doesn't seem like a good place to say where analytic nt started. Dirichlet's proof of primes in arithmetic progressions however introduced a lot of nontrivial analytic methods for the first time, so I think that's a better place to say where analytic nt started

static loom
#

nonsense

#

euler opened up a completely new way to show there are infinitely many primes

#

dirichlet and dedekind built on that

#

it's such a fundamental result that it's easy to take for granted, but building all of that machinery from scratch is totally nontrivial

bronze pelican
#

Its disingenuous to say dirichlet is merely building on Euler's proof. He laid the groundwork for analytic nt with his proof

#

The first sentence in Harold Davenport's Multiplicative Number Theory is

"Analytic number theory may be said to begin with the work of Dirichlet, and in particular with Dirichlet's memoir of 1837 on the existence of primes in a given arithmetic progression."

neat lintel
#

Guys I have a online test and I need help

#

Anyone familiar with the equal values method?

chilly hull
#

we are not allowed to help you with exams

neat lintel
#

It’s not an exam, it’s a review test

#

High school

#

Freshman level

soft zinc
#

anyone know good places to learn math (algebra and high school geometry)

chilly hull
#

khan academy

topaz trout
#

Do university precalc teachers let you use calculus for some problems

#

Like finding vertex of parabola,just take the first derivative and set y' to 0 and solve for x

neat lintel
#

omg i learnt set theory in 10 mins sotrue

#

i also learned linear lagebra in 15 mins

wet berry
#

Alright whats a linear functional

neat lintel
#

linear map from a vector space to its base field

wet berry
#

KEK yeah that was pretty simple

raven plaza
alpine comet
#

Also, you think you learned LA in 15 mins

alpine comet
alpine comet
#

It's a review to see what you know and what you need to study a bit to remember. Not a race toward A+.

cunning compass
#

Where can I find a depository of old math articles

#

Tryna find an old publication but it seems to be quite obscure

surreal sapphire
#

dont think there is such a thing

#

zotero can sometimes find them with a doi

#

other than that university libraries

cunning compass
#

Damn

surreal sapphire
#

also depends what you mean by old 😄

#

arxiv was apparently launched in 1991 and its the standard repository for math preprints for a while now

cunning compass
#

is 1903 old ?

surreal sapphire
#

yeah, thats very old

cunning compass
tight comet
cunning compass
#

Lemme send the name

surreal sapphire
#

so true...

#

unless its very famous i dont think you will find public scans

#

though yeah, this can be redistributed

#

and if you have some kind of university affiliaten your university either has it or can get a copy of it most likely

#

(though i think any math paper from 1903 will be unreadable to a modern audience opencry )

cunning compass
#

E. Landau, "Über die Maximalordnung der Permutationen gegebenen Grades [On the maximal order of permutations of given degree]", Arch. Math. Phys. Ser. 3, vol. 5, 1903

surreal sapphire
#

oh wait, you can have direct links nice

#

@cunning compass

cunning compass
#

Zoinks

#

Thanks a lot

#

💜

tight comet
#

omg nice

#

I couldn't find a working copy

neat lintel
#

but the operations aren't that hard to learn

neat lintel
#

I need to prove that if n is the square of an integer then 2n is not the square of an integer
I chose a proof by the absurd but I realize that I struggle to demonstrate that 2* k * k = j*j is absurd

#

someone can help me pls ?

upbeat shore
neat lintel
#

yes and ?

upbeat shore
#

.................

neat lintel
#

j and k can be equals to 1

upbeat shore
#

....................................................................................................................................................................................................................................................................................................................................................................................................................................

neat lintel
#

mb i thin it was a multiplication

#

but it's power

cyan goblet
#

even if it was multiplication it’d still be wrong, no?

#

2 * 1 * 1 ≠ 1 * 1

neat lintel
#

2 = (1/1)*2

neat lintel
brittle quartz
#

hi guys is there any way to get dxdy without using the Jacobian? when solving the gaussian integral using polar coordinates

river moon
#

no

brittle quartz
#

dayum

upbeat shore
#

So I am not sure if the answer is yes or no.

brittle quartz
#

you know

#

the gaussian integral

#

from -∞ to ∞ of e^-x²

tall minnow
#

When you change coordinates you must use the jacobian

#

The only way to avoid jacobian is to not change your coordinate system

brittle quartz
#

could you treat r and θ as just another variables instead of coordinates?

static loom
#

Eh

solid snow
#

How does that bypass using the jacobian

brittle quartz
#

is it possible to take x=rcostheta and y=rsintheta and differentiate those somehow to get dxdy

tall minnow
#

Differentiating them is literally

#

The jacobian

stuck shoal
#

Real

tall minnow
#

Please don't treat math as magic and learn what things mean

stuck shoal
#

I like Jacobians

#

Gives a whole new meaning to dy and dx xd

brittle quartz
tall minnow
#

Do it and you will reinvent the jacobian

solid snow
#

you’d ultimately just be relabeling the jacobian

stuck shoal
#

Cuz dx is scaled by the Jacobian(dy/dx)
Literally the derivative

#

Mathmaniac has a pog video on it

#

I would also recommend 3b1b's last video on essence of calculus

haughty lintel
stuck shoal
#

Iv been there

#

Your welcome xd

fair void
#

Does anyone here prefer paper straws to plastic

peak tide
#

in terms of not lasting 10000 yaers in a landfill or the ocean, i definitely prefer paper

#

it's a suboptimal "straw" experience though

solid snow
#

Metal straws

fair void
#

Just commit or don’t

#

Seems like a half measure

fair void
#

Literally at 7-11 I got a slushie in a plastic cup but they had paper scoop straws. Lol

#

Like it feels like virtue signalling from some of these companies

#

At least places like McDonald’s have mostly compostable waste. Yet they still don’t

#

Basically all the food is shipped in massive plastic bags

neat lintel
#

corporations have always made climate change seem like an individual issue

#

as if it's not the multi billionaire corporations that are emitting 70-80% of the emissions we are having right now

leaden torrent
#

sighhh

fresh current
#

heyyyy can i get help in channel help-16

#

very much ocnfusion

grave crescent
#

can i get some help in channel #help-1

storm sage
fresh current
dreamy ridge
#

I eat trees

dreamy ridge
#

Guys how do you eat all the chocolate pudding and get away with it without getting in trouble I need to know

cinder zephyr
#

Quickly + gaslight

dreamy ridge
split pawn
#

Is discussy2 any better

#

Imma stay here

split pawn
#

discussssy rise!

split pawn
#

rise!

#

why doesn't this ded rise

dreamy ridge
#

Hi

split pawn
#

Hi

dreamy ridge
#

Hi

split pawn
#

So mhm

dreamy ridge
#

That was interesting

#

How can they do that arguing like that I don’t even get it

#

But ima go to bed homie ttyl

split pawn
#

Goodnight

oak forge
#

Hello

#

Please who has a quantitative Mathematics background here?

stuck crown
neat lintel
vast surge
neat lintel
viscid jasper
#

Algebraic graph theory is crazy dense.

oak forge
#

Can I have a sample of quantitative exams questions?

hexed gazelle
#

this seems like a google-able thing

vast creek
#

???

split pawn
#

Bot raid.

#

Lock discussy

jolly vale
#

Does anyone know of any site/server where one can practice giving a talk?

neat lintel
#

PAUL ERDOS DID DRUGS

#

DO DRUGS

#

I LIKE DRUGS

split pawn
storm sage
#

If you're comfortable with that

fervent dome
regal night
little vine
#

Any recommend a writing tablet for PC, like an alternative to Wacom. Had a Wacom and the drivers crapped out

south arch
#

hey guys, sorry if this is the wrong place to ask but do you think calc 2 or 3 is harder (i live in US) so calc 2 is more integration, series, and parametric/polar equations and calc 3 is multivariable calculus i think i havent taken it

signal spruce
south arch
#

im getting a lot of conflicting information some people say its easier than calc 1 some say its hard so idk

#

i will research some calc 3 topics and see how they are, thank you for the info though

signal spruce
#

Do you use Thomas' Calculus?

south arch
#

i dont think so

signal spruce
# south arch i dont think so

According to Thomas' textbook the topics for calc 2 are:

  1. Vectors and 3d coordinates
  2. Vector functions and Space lines
  3. Partial derivatives
  4. Multiple integrals
  5. Vector fields
  6. Integration in vector fields
south arch
#

👀 thats definitely not what i learned in calc 2

signal spruce
#

This is very generic outline

#

There is a lot of subtopics on Vector fields

south arch
#

maybe i know the topics but i just dont call them this

#

i dont know what vectors are, that was never mentioned in my course

signal spruce
#

Have you taken physics?

south arch
#

uhhh not at a college level

signal spruce
#

The idea of a vector in calc is the same as in physics and it's a good analogy to learn operations with it

#

Same arrows with magnitude and direction

south arch
#

so something that is moving?

#

so calc 3 is essentially more in depth applications of physics?

signal spruce
#

Yes and no, you don't directly apply equation to physics, but for some topics it's good visualization of whatever the hell is happening

#

Physics is applied math anyway

south arch
#

okay yeah, i kinda asked that question wrong i understand what you mean

#

so far ive seen potential applications of what im learning in physics or other fields but the math itself is just math

#

sounds interesting i might research it myself a bit but i think im supposed to take probability and statistics as well which ive heard is easy

#

which im not so sure about

#

i just wanted to know in case i had to take calc 3 later, thank you for the info

signal spruce
signal spruce
south arch
south arch
#

that worked, thanks

signal spruce
#

👍

naive gust
#

how do you guys remember important information for exams? i struggle retaining information and when it comes to tests i dont do super great, regardless if it's math related or not

vapid gorge
#

If something doesn't make sense to me intuitively, I prove it myself or practice using the method. For example, the formula to solve y'+py=q is another thing to remember but if you know the trick to start solving it without the formula, then the rest comes naturally.

#

Basically, if I ever forget, I can reconstruct the answer.

mint patio
#

I hate math

#

I'm not doing my other work because I keep wnating to study math sadge

full ravine
#

pain

inland grove
mint patio
#

Because it's distracting me 😭 I don't actually hate it, I just wish I could forget about it for a bit so I could focus

inland grove
#

oh

#

i’m only a freshman in high school so i don’t really know what you mean

mint patio
#

Like

#

I have a 2000 word essay due tn

#

Not me reading math books instead

#

😭

inland grove
#

why are you just reading math books

#

do the essay

mint patio
#

Yes bestie I am

#

It's just not that easy hehe

vapid gorge
#

the worst is that it was 2000 word essay for another math class, but less interesting...

mint patio
#

wtf math class is makign you write essays

naive gust
#

multiple choice, especially when i am timed, is super difficult for me, and i just hate taking tests in general, however on questions that expect detail in response, i do far better at those for some reason??

tall minnow
slow arch
#

Depends on the school, country, state

#

Google

#

quick maths

grizzled grove
#

I got 3.8

serene fox
#

don’t forget F is 0

slow arch
#

what about G

#

is E a 0.5?

grizzled grove
serene fox
#

everything is a particle but particles aren’t really things also a tensor is something that transforms like a tensor

#

the lack of mathematical rigor in my undergrad particle physics/quantum class is what made me want to study math…

storm sage
#

mood

neat lintel
#

Anyone here wants to be my dog? dm me for terms and conditions.

little vine
#

Do I look like iggy pop

vast surge
fathom swallowBOT
#
cali5nia#2285's Avatar

Click here to view the image.

little vine
#

It makes me smile

dreamy ridge
#

Hi

#

How are you guys doing

mystic elk
#

gud

buoyant oracle
neat lintel
#

this one is it

#

okay here then @split pawn

split pawn
#

Okay

#

Well trauma when used, generally refers to mental trauma

#

Although there is physical trauma

neat lintel
#

trauma always refers to mental trauma?

split pawn
#

No.

#

In medicine, we have physical trauma

#

Can I explain after dinner?

neat lintel
#

oh

split pawn
neat lintel
#

oka

#

right how much time will you take then?

#

is there any complex integral calculator online?

split pawn
neat lintel
#

i can wait

#

I want to calculate $C: \abs{z} \int_C \frac{z^2-1}{z^2+1}$

fathom swallowBOT
split pawn
#

So here.

neat lintel
#

it is okay when you are free type its text, i will ask from there

split pawn
#

If a person suffers injury, that is referred to as trauma

neat lintel
#

oh

split pawn
#

however, like if someone suffers from an event

#

Which is emotionally damaging

#

Then trauma is an emotional response

neat lintel
split pawn
#

That is physical trauma

neat lintel
#

oh

neat lintel
split pawn
#

Sorry, June8, wish I could help, don't know if Wolfram Alpha solves it or not

split pawn
#

More like due to the events

#

It might include onset of depression

#

Flashbacks

#

And emotional downfall yk

#

For example, let us say

#

Someone, God forbid, gets into an accident

#

Lets say road accident

neat lintel
#

will flashbacks ever heal

split pawn
#

Apart from physical trauma

split pawn
#

Since flashbacks are a thing that require you to move on and not think back again, which is hard...

#

For example, if the person in question sees another accident, he gets reminded of his own experience

#

That's how a flashback is triggered

neat lintel
split pawn
#

The general notion about trauma is

#

mental trauma

#

Disturbed state of mind

split pawn
#

But medically, its just not only that

split pawn
#

Now trauma isn't necessarily from events or one-time occurences

#

It can be due to repeat events such as abuse or violence

#

Soldiers who've served in wars might suffer from some trauma

#

And let's not forget PTSD

#

Post-Traumatic Stress Disorder

#

A disorder related to happening of a traumatic event

neat lintel
#

it seems like flashbacks are triggered by trauma itself

split pawn
#

It's more like, the symptoms which someone suffers from after a traumatic event

#

Flashbacks can have triggers, obv.

#

Not necessarily by trauma

#

For example, if it was a car accident

neat lintel
#

i mean this is a complex thing to understand

split pawn
#

Let us say a blue Mercedes was involved

#

so maybe the person in question

#

Is walking some day

#

And sees a blue Mercedes approach

#

That can become a flashback trigger.

neat lintel
#

that makes sense

split pawn
neat lintel
#

it has been a while since i have been thinking about trauma and how it is being triggered and everything related to it

split pawn
#

You have a math exam

neat lintel
#

flashbacks

split pawn
#

Which I dont believe

#

is in the next week

#

Because every week its the next week

#

And you're the one who said you don't do anything other than maths

#

...

#

So Ig you get the question

#

Also, I go dinner now

neat lintel
#

it is very soon, next week and its day second

#

alright

split pawn
#

Alr

#

Good luck with taht

#

that*

#

Lemme have dinner

#

I'll ping you once I'm here

neat lintel
#

alright

strong prism
#

rigorous treatment of calculus is called real analysis then what about rigorous treatment of multivariable calculus and functions ? whats it called ?

split pawn
tall minnow
#

measure theory doesn't care for number of variables

strong prism
#

so like

tall minnow
#

oh

#

you might be confusing the baby level of analysis with grad-level real analysis (Folland)

#

if it were up to me only Folland-level stuff deserves to be called real analysis. It starts with measure theory

strong prism
#

if i defined integral rigorously is it obvious that double and triple integrals and polar follow through

tall minnow
#

have you learned measure theory

strong prism
#

no i have learnt sequence and series

proud olive
tall minnow
proud olive
#

Fake analysis

tall minnow
#

which then splits into real and complex analysis

strong prism
#

but my question was that

#

does double and triple integral have separate rigorous treatment ?

tall minnow
#

pathway is to read Tao's Analysis I & II then Folland's Real Analysis

cosmic egret
#

I was preparing for masters entrance exam in maths.the syllabus include real analysis,I know calculus1,little bit of set theory and logic,I want to self study ,recommend book or YouTube playlist

strong prism
tall minnow
#

there are plenty of analysis books yeah

strong prism
#

all that cal 3 crap that i was taught intuitively and geometrically only

river moon
#

there are still many geometric proofs, especially in early real analysis

strong prism
#

integral test

#

ok

#

thats a geometric proof

river moon
#

that's not early, that's like half way through the course

strong prism
#

really ?

#

maybe after rigorous treatment of integration itself

tall minnow
strong prism
#

not just area intuition

strong prism
#

is it a subject ?

tall minnow
#

just a small extension of linear algebra

river moon
# strong prism really ?

look up the nested intervals theorem or other limit or sequence related theorems, a lot of them are really just staring at what's given and concluding that the claim holds true

strong prism
#

chatgpt is a horrible math advisor

cosmic egret
#

I was preparing for masters entrance exam in maths.the syllabus include real analysis,I know calculus1,little bit of set theory and logic,I want to self study ,recommend book or YouTube playlist

neat lintel
#

oh no the message was there too up above and conversations have been active

#

the trauma has been a huge problem @split pawn for me too and i am trying to cope with those it is surely incredibly hard

#

it does not matter what trauma it is maybe it takes ages to heal or maybe it would never heal or maybe it will

neat lintel
#

i kinda get stressed too much at times

split pawn
#

I mean well

#

Stress is not trauma

#

Buts stress can be due to trauma

#

So uh that makes me ask

#

Ya alright?

split pawn
neat lintel
#

i mean it is too much to handle at times, i cant explain in words wish i could

split pawn
#

And not trauma

#

Unless yeah

#

There is something else to it

#

I can somehow understand you

neat lintel
#

and then this trauma thing that came in my mind this was so intense to handle too

fiery fable
#

seek professional therapy

split pawn
#

If you think your stress is not manageable, talk to your parents and get yourself a consultation with a child psychiatrist who can recommend measures including therapy

neat lintel
split pawn
#

But also know that, as in, you, are a very important factor in how things go for yourself.

neat lintel
#

therapy would help for sometime then it wont help too

split pawn
fiery fable
#

if its trauma they are prolly right

split pawn
#

I mean instead of suffering from stress every day you can just go and talk to a child specialist

#

And in your case

#

Be open about it to your parents

#

I think there's research done about how effective therapy is in PTSD and likely situations

neat lintel
#

i might do that too

#

i think PTSD was something that i had

#

i dont know if it has got healed up til now i still had it i think

split pawn
#

Go get a formal diagnosis

#

And also, don't rely on Dr Google

neat lintel
#

there is not just PTSD there is so much to it

split pawn
#

Dr Google has a lot of information, tiny, but it didn't have any medical degree from any recognizable institute?

neat lintel
#

exactly

#

i have read lots of articles and some of the things showed to be helpful on the internet

#

sometimes it isnt like that

#

it is also true too

split pawn
#

Yeah well

#

I'm trying to make a point here

#

That might be useful for you

neat lintel
#

yep

split pawn
#

Although I'm not gonna say what is, and what is not, since I am not the one you should be asking that.

#

But

#

Dr Google isn't the place you diagnose yourself

#

So, let me show you an example.

#

Very layman example.

neat lintel
#

google is an internet

split pawn
#

I'll google something rq wait

neat lintel
#

okay

split pawn
#

I googled sore throat

#

Now see what list of possible ailments it is related to

#

Although these are not all.

#
  1. Common cold
  2. Strep throat
  3. Tonsilitis
  4. Postnasal drip
  5. Upper respiratory infection
#

Now maybe some cool name

neat lintel
#

oh

split pawn
#

Like Tonsilitis fascinates you

#

And you read about it

#

And then whatever the symptoms are, your mind starts aligning

#

Oh yes, I have pain in the throat whilst swallowing

#

Oh yes I do have sore throat

#

Oh yeah I do feel some swelling

#

Oh yeah I do have bad taste

#

And then, result is: You self diagnose

#

and this can be pretty harmful

neat lintel
#

this everything making a lot of sense

fiery fable
split pawn
#

That's what doctors study five years or how many years for

#

To not make such errors.

#

They learn from treating local population

#

Seeing what manifests how in patients

#

What is the trend of diseases

#

How can a symptom be more linked to a certain disease than the other

neat lintel
#

they do lots of study and research

split pawn
#

And Google doesnt care about it

#

In your country, tiny, some places are colder than others.

#

So, that regional variation can induce different patterns

#

Of maybe, flu related to seasonal changes

#

So, Mr Google is not gonna help you

#

It's gonna say

#

Country X has this common disease

#

Although it might not be common in your region

neat lintel
#

yes

split pawn
#

So I hope you get my point

#

My point isn't to stop reading or gaining information

#

My point is, don't make the internet your doctor, go to a real doctor, and get yourself a full health check-up

neat lintel
#

you are very good at explaining haha

#

i will do that too

split pawn
#

At first I thought you're just the math 24/7 person

#

So you might be stressed out

#

And since you asked about trauma now

#

Anyway

#

It must be night there

neat lintel
#

it is

split pawn
#

Yep

#

Someone put my internet signal on a 555 oscillator

#

(Im just getting into electronics so dont bang me)

burnt dune
#

what do you ugys think of the math gre

split pawn
#

I'm not from the US but yeah maybe someone could help

neat lintel
languid marten
neat lintel
#

but difficulty-wise i've heard it isn't that hard

languid marten
neat lintel
#

also the math section of the gre does not reflect anything remotely close to a grad-level math class

strong prism
#

so like

#

the current system established from the greek times

#

of society and law

#

wont continue on mars

#

i hope so

languid marten
strong prism
#

like

#

greek people made a lot of progress in ethics

#

and romans in military systems

languid marten
#

ig there's a great book named "Sapiens : a brief history of mankind" which encapsulates all the historic development of human societies

strong prism
#

oh i love books

#

especially those that make me forget that i have a semester final next month

languid marten
#

Will keep you busy for a while

stark owl
#

edfwv j

#

ok

dreamy ridge
#

What’s poppin

upbeat shore
#

What do we talk about when we talk about what it is to pop?

violet wraith
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apoptosis

split pawn
fading zealot
woven whale
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top g

vocal vessel
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Your profile picture is repulsive.

fiery fable
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man. 13 year olds watching to andrew tate is crazy. do parents not monitor what their child does on the internet

languid marten
fiery fable
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no kidding. people are being raised by the internet. shit is rotten