#serious-discussion | Mathematics | Page 497

leaden torrent Jan 31, 2022, 4:11 AM

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this somewhat different drawing represents the same graph

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(up to isomorphism at least)

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as does this one

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or this

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really, ALL a graph does is store data about how its points are "connected" or "related"

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theres no real geometric notability besides that

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that said, you CAN ask geometric questions ABOUT graphs (ie about the drawings that represent them)

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such as whether a graph is "planar"

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and when such questions are asked, they are almost always done working on a euclidean 2d plane, unless otherwise stated.

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but you do have to be careful: the prior 4 images i posted demonstrate a planar graph, but if we draw the graph like this (which is valid to do), it appears nonplanar at first

jagged snow Jan 31, 2022, 4:49 AM

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how do you represent a loop graph in a math function?

leaden torrent Jan 31, 2022, 4:49 AM

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what do you mean by "a math function"?

jagged snow Jan 31, 2022, 4:50 AM

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A normal math function like this E = {a, b} = {b, a}

leaden torrent Jan 31, 2022, 4:50 AM

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that's a set, not a function

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unless i'm misunderstanding you?

jagged snow Jan 31, 2022, 4:51 AM

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how do I represent it in a set?

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what is it called when its a set representation if its not a function?

leaden torrent Jan 31, 2022, 4:54 AM

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a loop in a graph, written in set notation, would simply be an edge that links from a vertex to itself

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(v, v)

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so if your graph is just a single vertex with a single loop, that would look like {{v}, {(v, v)}}

jagged snow Jan 31, 2022, 4:55 AM

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jagged snow what is it called when its a set representation if its not a function?

how about this?

leaden torrent Jan 31, 2022, 4:55 AM

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"function" is a precise (through broad) mathematical term

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a "function" is something that maps a set of inputs into a set of outputs, such that each input is mapped to exactly one output (no more, no less)

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i'm not sure why you think this relates to the set definition of a graph, to be honest

jagged snow Jan 31, 2022, 4:56 AM

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just because they are both representations or forms of representation

leaden torrent Jan 31, 2022, 4:56 AM

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you could conceptualize, say, a function from the set of vertices to the power set of the set of edges that takes in a vertex and returns all of the edges connected to it

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or whatever

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but this is... just a random construction

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"are both representations"
yeah, and |||| is a representation of the number 4

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but i dont think tally marks relate to what we're doing

jagged snow Jan 31, 2022, 4:58 AM

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leaden torrent so if your graph is just a single vertex with a single loop, that would look lik...

so let's say this is the graph represented graphically

leaden torrent Jan 31, 2022, 4:59 AM

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right, thats {{a}, {(a, a)}}

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the set of vertices contains only one vertex, a

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the set of edges contains only one edge, an edge from a to a

jagged snow Jan 31, 2022, 5:00 AM

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the representation would be {{a}, {(a, a)}}? or a = (a, a)?

leaden torrent Jan 31, 2022, 5:00 AM

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a is not equal to (a, a)

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there are many ways we could describe that graph

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{{a}, {(a, a)}} is one of them

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but its a needlessly technical one for most uses

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"the graph consisting of a vertex called 'a' and a single loop" would also work

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another way to describe it is with the picture you drew.

jagged snow Jan 31, 2022, 5:01 AM

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this is the subject...I'm defining oriented graphs, non oriented graphs and loops.

leaden torrent Jan 31, 2022, 5:01 AM

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wikipedia already has the generally-accepted definitions for these objects

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jagged snow Jan 31, 2022, 5:02 AM

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Because those are the basis, but I wanted to demonstrate a math representation to represent the loops if needed on a future math exercise, for my future reference.

leaden torrent Jan 31, 2022, 5:04 AM

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To be honest, I'm not sure I really understand what you're looking for.

jagged snow Jan 31, 2022, 5:52 AM

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For a non-oriented graph, we use w : A → P(V) to represent it, which tells us the connections of every segment of the graph.

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There are only 3 types of directions in graphs, which are oriented, non-oriented and loops.

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{{a}, {(a, a)}} would translate to inside vertix A, the vertix A goes from the point A to the point A?

fringe needle Jan 31, 2022, 11:06 AM

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jagged snow {{a}, {(a, a)}} would translate to inside vertix A, the vertix A goes from the p...

no there's no "extra" relation between the edges and vertices than what's already there. You generally can define a graph as a set {V,E} where E is the set of edges and V the set of vertices. Whether the graph is directed or not, the set V will always just be some set where each element represents a vertex. For edges, you might represent a undirected graph as a set of subsets vertices of cardinality 2 or a set of pairs of vertices

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so formally you could say that for an undirected graphs, edges are elements of P(V) while for a directed graph theyre elements of V x V

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and i suppose youd represent a loop as (v,v) in directed graphs and {v} (or {v,v} if we consider multisets) for undirected graphs

rotund scroll Jan 31, 2022, 12:29 PM

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Is anyone here familiar with gambling - slot mathematics ?

mild solstice Jan 31, 2022, 1:56 PM

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is anyone else having problems with microsoft math solver, i keep getting something went wrong, please try again later

stray kite Jan 31, 2022, 2:47 PM

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i didnt know that existed

neat lintel Jan 31, 2022, 4:29 PM

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I have a university quantitative assessment about "elementary calculus and probability". I haven't had a math course > 6 months, and I don't know how to review my learnings and prepare for this effectively in a short time. Does anyone have suggestions or good sources that have a clear overview of these topics preferably with with excercises that build up?

mint patio Jan 31, 2022, 8:11 PM

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Is U of T great for math or something

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Or why does 99% of this server go there

hollow sundial Jan 31, 2022, 8:19 PM

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social network is strong

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also what's U of T?

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Toronto?

mint patio Jan 31, 2022, 8:20 PM

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Toronto I think yeah

hollow sundial Jan 31, 2022, 8:21 PM

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#29 for math, so yea pretty good.
https://www.usnews.com/education/best-global-universities/mathematics?city=toronto

rose dock Jan 31, 2022, 8:26 PM

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UofT is just big in general

deep mango Jan 31, 2022, 9:34 PM

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this but unironically

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be more petty

leaden torrent Jan 31, 2022, 9:47 PM

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this used to be the uchic server

sleek wing Jan 31, 2022, 9:47 PM

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lore

tender musk Jan 31, 2022, 9:52 PM

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Hello! How is everyone doing?

deep mango Jan 31, 2022, 9:52 PM

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hello bman

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finished my scary class, which was not so scary, and then attended a talk

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what a nice day so far

tender musk Jan 31, 2022, 9:53 PM

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deep mango finished my scary class, which was not so scary, and then attended a talk

How did your talk go? And scary class?

deep mango Jan 31, 2022, 9:53 PM

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this was someone else's talk

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i was just attending

tender musk Jan 31, 2022, 9:53 PM

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Was it good?

deep mango Jan 31, 2022, 9:54 PM

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it was good for a while

tender musk Jan 31, 2022, 9:54 PM

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What was it about?

deep mango Jan 31, 2022, 9:54 PM

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then he ran out of time and glossed over the really interesting stuff at the end

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which is kind of sad

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uhhh

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it was about periodic orbits in stadium-shaped billiard tables

tender musk Jan 31, 2022, 9:54 PM

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Um... periodic orbits?

deep mango Jan 31, 2022, 9:55 PM

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http://blogs.ams.org/visualinsight/files/2016/11/bunimovich_stadium.gif

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here's the picture

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or the gif

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so for example, the bottom 2 here are periodic orbits

tender musk Jan 31, 2022, 9:56 PM

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It looks very much affected by entropy not sure how it could be periodic

tender musk Jan 31, 2022, 9:56 PM

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deep mango so for example, the bottom 2 here are periodic orbits

Ahh, that makes sense

deep mango Jan 31, 2022, 9:56 PM

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this talk was about smoothing out the spots where the semicircles meet the straight lines in order to produce particular kinds of periodic orbits

tender musk Jan 31, 2022, 9:57 PM

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Oooo, where do you find these talks?

deep mango Jan 31, 2022, 9:58 PM

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oh, this was at a seminar

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i'm sure there are also public things like this

tender musk Jan 31, 2022, 9:58 PM

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Huh?

tender musk Jan 31, 2022, 9:58 PM

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deep mango oh, this was at a seminar

For what?

deep mango Jan 31, 2022, 9:58 PM

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for dynamical systems

tender musk Jan 31, 2022, 9:58 PM

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Sorry about my confusion

deep mango Jan 31, 2022, 9:59 PM

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seminar being like, a weekly lecture series at a university where people are invited to come give talks centering around a topic

tender musk Jan 31, 2022, 9:59 PM

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deep mango seminar being like, a weekly lecture series at a university where people are inv...

So this is a private event?

deep mango Jan 31, 2022, 9:59 PM

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yeah i believe so

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i don't really know

tender musk Jan 31, 2022, 9:59 PM

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Are you a teacher?

deep mango Jan 31, 2022, 9:59 PM

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i am a graduate student

tender musk Jan 31, 2022, 9:59 PM

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Ah

deep mango Jan 31, 2022, 10:00 PM

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in terms of the scary class, last week i had my first lecture of a class with a very intense professor

tender musk Jan 31, 2022, 10:00 PM

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How was your "scary class"?

tender musk Jan 31, 2022, 10:00 PM

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deep mango in terms of the scary class, last week i had my first lecture of a class with a ...

Got it

deep mango Jan 31, 2022, 10:00 PM

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and he wanted us all to give lots of input and stuff

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which is like

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not fun to do when the guy is staring daggers at you

tender musk Jan 31, 2022, 10:00 PM

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Highschool

tender musk Jan 31, 2022, 10:00 PM

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deep mango not fun to do when the guy is staring daggers at you

Yes, definitely

deep mango Jan 31, 2022, 10:00 PM

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but today we had the second lecture and he was still kind of intense but all of us loosened up and gave him real input haha

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and then he was super nice and good about it

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even when it wasn't right

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so

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i think he just gets frustrated when everyone sits there silent lol

tender musk Jan 31, 2022, 10:01 PM

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Great!

deep mango Jan 31, 2022, 10:01 PM

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yeah so that class should be more fun now

tender musk Jan 31, 2022, 10:01 PM

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deep mango i think he just gets frustrated when everyone sits there silent lol

Isn't that what a lecture class is?

deep mango Jan 31, 2022, 10:01 PM

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that's what it usually is!

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this class is only like 10 people though, so i guess he wants it to be more like a discussion

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it's just tough when it's advanced math to come up with stuff on the fly

tender musk Jan 31, 2022, 10:02 PM

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deep mango it's just tough when it's advanced math to come up with stuff on the fly

Yes

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But sometimes it can be really fun

deep mango Jan 31, 2022, 10:02 PM

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i almost got the answer to something, but he said "it's 2" right before i said "i think it's 2"

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lol

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not fast enough

tender musk Jan 31, 2022, 10:03 PM

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yes

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What do you want to do as a professional job?

deep mango Jan 31, 2022, 10:05 PM

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uhmmmm that's flexible i guess

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ideally it would just be staying in academia

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but that's super luck-based

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so after i do a postdoc or two i'm considering shifting towards climate modeling and oceanic modeling stuff

tender musk Jan 31, 2022, 10:06 PM

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academia?

deep mango Jan 31, 2022, 10:06 PM

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since i like fluid dynamics math the most anyway

tender musk Jan 31, 2022, 10:06 PM

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deep mango so after i do a postdoc or two i'm considering shifting towards climate modeling...

Sounds interesting

deep mango Jan 31, 2022, 10:06 PM

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tender musk academia?

like staying in the university system to do research and teach

deep mango Jan 31, 2022, 10:07 PM

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tender musk Sounds interesting

yeah i didn't think much of it until i took a general requirement class in college on atmospheric and oceanic science, and the math underlying it (which we barely scratched of course) was so fascinating and close to the stuff i love in pure math

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so much dynamics and differential equations

tender musk Jan 31, 2022, 10:08 PM

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deep mango like staying in the university system to do research and teach

Yes that is what I would like to do

deep mango Jan 31, 2022, 10:08 PM

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and i'm really into the ocean anyway, and of course it's a really important thing to work on. so it feels perfect for me.

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but i want to try my hand at staying an academic first since that way i could just do pure math :p

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actually i don't even know about that

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next year i'm gonna take a bunch of classes on this i think

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so i might love it and just hard pivot

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there's plenty of time

tender musk Jan 31, 2022, 10:09 PM

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deep mango and i'm really into the ocean anyway, and of course it's a really important thin...

Sounds like at first you seemed unconvinced and now you sound completely convinced... don't ruin this for yourself

deep mango Jan 31, 2022, 10:09 PM

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well, this was a very new interest since maybe a year ago

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and i think if i play my cards right it would be an easy thing to shift into at any time

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like, the stuff i'm doing in pure math is gonna ride the line with oceanic modeling anyway.

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that's my loose plan

neat lintel Jan 31, 2022, 10:13 PM

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deep mango in terms of the scary class, last week i had my first lecture of a class with a ...

what class stare

deep mango Jan 31, 2022, 10:15 PM

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it's a topics class about dispersive PDEs

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which are PDEs like schrodinger's equation, or water wave equations.

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they send out waves which dissipate in all directions.

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(unlike in the wave equation, where the waves stay steady and don't dissipate)

placid lynx Jan 31, 2022, 11:24 PM

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happy chinese new year eve everyone

vagrant kestrel Feb 1, 2022, 2:23 AM

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https://twitter.com/bootlegmonster/status/1488183701934469125?t=3m0E86bVgPm-4FmwSxbUkw&s=09

cy (@bootlegmonster)

happy lunar new year! I have sat on this concept for an entire year and can finally post it

Retweets

120

Likes

229

dawn bridge Feb 1, 2022, 2:54 AM

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i got chocolates for cny

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i dont eat chocolate tho :/

long matrix Feb 1, 2022, 2:55 AM

#

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send me some

fair mural Feb 1, 2022, 2:56 AM

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uwu shuri

long matrix Feb 1, 2022, 2:56 AM

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ill send tissue packets back

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red ones

wooden flax Feb 1, 2022, 2:56 AM

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uwu

oblique mirage Feb 1, 2022, 4:25 AM

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@modern geyser just wanted to say thanks for the help!

modern geyser Feb 1, 2022, 4:34 AM

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no problem fam 😄

mellow moon Feb 1, 2022, 5:48 AM

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deep mango it's a topics class about dispersive PDEs

Tao's book ❤️

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Nonlinear dispersive equations: local and global analysis

deep mango Feb 1, 2022, 12:01 PM

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Yes

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That's the official text, though Jalal just does whatever he wants with wild abandon the whole time. Haha

mint patio Feb 1, 2022, 2:40 PM

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I hate my Mechanics of Materials class

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My professor is good but his voice is too monotone and his accent too thick for me to be able to actively pay attention

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And all he does in class is theoretical stuff

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But the homework is computational

pale orchid Feb 1, 2022, 2:49 PM

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sounds like engineering classes 😌

sick burrow Feb 1, 2022, 2:51 PM

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Feather why do you keep changing your pfp

mint patio Feb 1, 2022, 2:51 PM

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New Years resolution

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New egirl with bangs every day

fair mural Feb 1, 2022, 2:51 PM

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feather changes his pfp literally everyday

mint patio Feb 1, 2022, 2:51 PM

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I've missed two days so far but I'm trying to keep that to a minimum

pale orchid Feb 1, 2022, 2:51 PM

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https://tenor.com/view/focus-commitment-will-gif-19916882

Tenor

mint patio Feb 1, 2022, 2:51 PM

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LOL

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nozoomi

fair mural Feb 1, 2022, 2:52 PM

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i no longer change my pfp everyday sad

coarse grotto Feb 1, 2022, 2:52 PM

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I seldom change my pfp

sick burrow Feb 1, 2022, 2:52 PM

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You should change your pfp to this

mint patio Feb 1, 2022, 2:52 PM

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What is this from?

sick burrow Feb 1, 2022, 2:52 PM

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You should change your pfp to this

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Feather the Redeemed from mtg

mint patio Feb 1, 2022, 2:53 PM

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I forgot who it is but someone here has this really nice pfp from this cool fantasy book series

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Some "City of the Dream" or some shit

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He's a server booster

fair mural Feb 1, 2022, 2:53 PM

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is it @vast surge

mint patio Feb 1, 2022, 2:53 PM

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Yes

fair mural Feb 1, 2022, 2:53 PM

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their banner actually but whatever

mint patio Feb 1, 2022, 2:53 PM

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Thank you

coarse grotto Feb 1, 2022, 2:53 PM

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I just realized their name lmfao

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Zorn's lemon

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nice

mint patio Feb 1, 2022, 2:53 PM

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I miss reading

sick burrow Feb 1, 2022, 2:53 PM

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mint patio New egirl with bangs every day

Why though

mint patio Feb 1, 2022, 2:53 PM

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Haven't gotten to do it in a long time

coarse grotto Feb 1, 2022, 2:54 PM

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sick burrow Why though

simp culture 😌

sick burrow Feb 1, 2022, 2:54 PM

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Why make your pfp an egirl when you can simply become the egirl

mint patio Feb 1, 2022, 2:55 PM

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sick burrow Why though

Why challenge myself to change it every day? For fun
Why egirls with bangs? Because I am weak in the knees for bangs
Why egirls? They don't have to be, I'm just attracted to the aesthetic. I still get normal women like the current one in my pfp too

fair mural Feb 1, 2022, 2:55 PM

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feather when i first saw you i never imagined you’d be so… unique

pale orchid Feb 1, 2022, 2:55 PM

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i knew feather was unique after the first TMN

mint patio Feb 1, 2022, 2:55 PM

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This reminds me of something one of the freshman said yesterday

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fair mural Feb 1, 2022, 2:55 PM

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what does that even mean lol

sick burrow Feb 1, 2022, 2:56 PM

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This "making your pfp a girl you find hot" thing still confuses me

mint patio Feb 1, 2022, 2:56 PM

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pale orchid i knew feather was unique after the first TMN

You are one sick bastard

mint patio Feb 1, 2022, 2:56 PM

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sick burrow This "making your pfp a girl you find hot" thing still confuses me

That's okay :P

pale orchid Feb 1, 2022, 2:56 PM

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it takes one to know one

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smugsmug

mint patio Feb 1, 2022, 2:56 PM

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Mfs be talking about me behind my back zz

fair mural Feb 1, 2022, 2:56 PM

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feather i would never

mint patio Feb 1, 2022, 2:57 PM

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I wish I could know

sick burrow Feb 1, 2022, 2:57 PM

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It's like guys who have cute women as their pfp are either
A: not guys
B: the weirdest person you've ever met

mint patio Feb 1, 2022, 2:57 PM

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Good or bad I do not care, I just want to see what people think of me

mint patio Feb 1, 2022, 2:57 PM

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sick burrow It's like guys who have cute women as their pfp are either A: not guys B: the we...

Which do I fall into

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sully

sick burrow Feb 1, 2022, 2:57 PM

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Only you can know

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catThink

mint patio Feb 1, 2022, 2:57 PM

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I am definitely a guy

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But I'm fairly certain you've met weirder too

sick burrow Feb 1, 2022, 2:58 PM

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~~That's what they all say~~

mint patio Feb 1, 2022, 2:58 PM

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catThink

fair mural Feb 1, 2022, 2:58 PM

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nope feather

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you’re pretty weird

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opencry

mint patio Feb 1, 2022, 2:58 PM

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Well you're a normie quantum

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Your opinion does not count

sick burrow Feb 1, 2022, 2:58 PM

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opencry

fair mural Feb 1, 2022, 2:58 PM

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catscream

mint patio Feb 1, 2022, 2:58 PM

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Dude this guy freaks out the moment I say the word "horny"

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oh em gee feather stop that's so lewd >//<

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Like bro??

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My bad didn't know I had to be Mormon too

pale orchid Feb 1, 2022, 2:59 PM

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https://tenor.com/view/handholding-censored-anime-funny-meme-gif-14588244

Tenor

mint patio Feb 1, 2022, 2:59 PM

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HAHAHAH

fair mural Feb 1, 2022, 2:59 PM

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mint patio Dude this guy freaks out the moment I say the word "horny"

sully

pale orchid Feb 1, 2022, 3:00 PM

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this is peak internet

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reacting to a sully with another

sick burrow Feb 1, 2022, 3:00 PM

#

fair mural Feb 1, 2022, 3:00 PM

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if only i could react to a reaction

fair mural Feb 1, 2022, 3:00 PM

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sick burrow

pale orchid Feb 1, 2022, 3:00 PM

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it makes my heart skip a beat, causing shooting pain up and down my left arm

sick burrow Feb 1, 2022, 3:00 PM

#

mint patio Feb 1, 2022, 3:00 PM

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pale orchid it makes my heart skip a beat, causing shooting pain up and down my left arm

Is this like some grunge song from the 90s

pale orchid Feb 1, 2022, 3:01 PM

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it's a heart attack

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so yes

mint patio Feb 1, 2022, 3:01 PM

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If I hear my professor say vector one more time I'm going to blow a gasket

sick burrow Feb 1, 2022, 3:01 PM

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mint patio Feb 1, 2022, 3:01 PM

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He doesn't say vector he says

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vecTUH

sick burrow Feb 1, 2022, 3:02 PM

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VecTUH space

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Ovuh the real numbuhs

mint patio Feb 1, 2022, 3:02 PM

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Gamma this is engineering bud

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We spent two days on vector spaces

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rofl

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When I took linear algebra (fOr EnGiNeErS)

sick burrow Feb 1, 2022, 3:03 PM

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Feather you should change your username to feather the irredeemable

mint patio Feb 1, 2022, 3:03 PM

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dUDE I HAD TO TAKE IT

fair mural Feb 1, 2022, 3:03 PM

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feathermorphism

mint patio Feb 1, 2022, 3:03 PM

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I would've taken the regular LA class if I could

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but noooooooooooooooooooo

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engineering requirements

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:DDDDD

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The only "skill" I have two years later from that class is being able to solve 3x3 systems

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Which is not special in the slightest

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I can also do LU decomposition if I try really hard : )

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We ran out of time so no diagonalization : )

sick burrow Feb 1, 2022, 3:06 PM

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Feather The Irredeemable      RBB
Legendary Creature -- Angel Simp
Flying 
Whenever an opponent casts an instant or sorcerer spell that targets Feather, copy that spell. You may choose new targets for the copy
4/3

mint patio Feb 1, 2022, 3:06 PM

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I barely remember the value of eigenvectors or eigenvalues : ) they are just fancy symbols to me that I know how to find

mint patio Feb 1, 2022, 3:06 PM

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sick burrow ``` Feather The Irredeemable RBB Legendary Creature -- Angel Simp Flying W...

what's my cost

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I better be like 4/3 for 2 <resource>

sick burrow Feb 1, 2022, 3:07 PM

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RBB

mint patio Feb 1, 2022, 3:07 PM

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what is RBB

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I don't play MTG

sick burrow Feb 1, 2022, 3:07 PM

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Red Black Black

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3 mana

mint patio Feb 1, 2022, 3:07 PM

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Ah nice

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What is the flavor in my effect

sick burrow Feb 1, 2022, 3:07 PM

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It's like an inverted version of Feather the Redeemed

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Oh wait Feather procs on you targeting any of your creatures

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Actually busted card

toxic schooner Feb 1, 2022, 3:08 PM

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mint patio Why challenge myself to change it every day? For fun Why egirls with bangs? Beca...

what differentiates an egirl from a normal girl?

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catThin4K

pale orchid Feb 1, 2022, 3:09 PM

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terminal onlineness

toxic schooner Feb 1, 2022, 3:09 PM

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pale orchid i knew feather was unique after the first TMN

TMN?

mint patio Feb 1, 2022, 3:09 PM

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Oh no.

toxic schooner Feb 1, 2022, 3:09 PM

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did i fall for a deez nutz joke

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i think i did

mint patio Feb 1, 2022, 3:10 PM

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toxic schooner what differentiates an egirl from a normal girl?

Aesthetic

fair mural Feb 1, 2022, 3:10 PM

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probably

toxic schooner Feb 1, 2022, 3:10 PM

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mint patio Aesthetic

hmmCat

fair mural Feb 1, 2022, 3:10 PM

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feather when are you gonna use an edgy anime girl pfp

toxic schooner Feb 1, 2022, 3:10 PM

#

pale orchid it takes one to know one

kekw

fair mural Feb 1, 2022, 3:10 PM

#

toxic schooner <:kekw:752021756650455061>

i see i’m not the only one that scrolls up to read older messages

mint patio Feb 1, 2022, 3:10 PM

#

fair mural feather when are you gonna use an edgy anime girl pfp

After the year ends

#

I'm not changing my pfp twice in a day

fair mural Feb 1, 2022, 3:11 PM

#

sully

sick burrow Feb 1, 2022, 3:11 PM

#

What makes me a good e-girl? If I were a BAD egirl I wouldn't be sitting here talking to you now would I.

mint patio Feb 1, 2022, 3:11 PM

#

sick burrow What makes me a good e-girl? If I were a BAD egirl I wouldn't be sitting here ta...

I

#

hate you

sick burrow Feb 1, 2022, 3:11 PM

#

*takes swig of monster energy*

pale orchid Feb 1, 2022, 3:11 PM

#

toxic schooner TMN?

These Massive Nuts

mint patio Feb 1, 2022, 3:11 PM

#

Gottem

toxic schooner Feb 1, 2022, 3:11 PM

#

fair mural i see i’m not the only one that scrolls up to read older messages

you most definitely are not

toxic schooner Feb 1, 2022, 3:12 PM

#

pale orchid These Massive Nuts

😭

#

why do u do this to me 😭

#

have u heard of hava

sick burrow Feb 1, 2022, 3:12 PM

#

Litetally 19eddy4

fair mural Feb 1, 2022, 3:13 PM

#

toxic schooner have u heard of hava

this is a good one

#

what’s hava

mint patio Feb 1, 2022, 3:13 PM

#

I hate y'all

fair mural Feb 1, 2022, 3:13 PM

#

why

mint patio Feb 1, 2022, 3:13 PM

#

reasons, quantum.

sick burrow Feb 1, 2022, 3:13 PM

#

Hava ever told you the tragedy of Darth Plagueis the Wise?

mint patio Feb 1, 2022, 3:14 PM

#

I hate math when I can't pay attention

#

I am so braindrained right now

#

Last week I was dead inside for no reason

toxic schooner Feb 1, 2022, 3:14 PM

#

i dont know what happened in 1984
And at this point im to afraid to ask

toxic schooner Feb 1, 2022, 3:14 PM

#

fair mural what’s hava

hava nice day

mint patio Feb 1, 2022, 3:14 PM

#

So now I'm behind

fair mural Feb 1, 2022, 3:14 PM

#

toxic schooner hava nice day

no u

mint patio Feb 1, 2022, 3:14 PM

#

The other day I slept at 4 AM for zero reason

toxic schooner Feb 1, 2022, 3:14 PM

#

lmao gottem

mint patio Feb 1, 2022, 3:14 PM

#

I usually sleep at like 1 or 2

#

And wake up at 8

#

Then yesterday I slept at 3 AM

#

and today I woke up at 7

#

my brain is dead and I am behind on schoolwork

toxic schooner Feb 1, 2022, 3:15 PM

#

fair mural no u

flonshed

toxic schooner Feb 1, 2022, 3:15 PM

#

mint patio my brain is dead and I am behind on schoolwork

Oof

toxic schooner Feb 1, 2022, 3:15 PM

#

mint patio I hate y'all

stare

#

do u still hate me for "your anal is nice"

#

bleakkekw

fair mural Feb 1, 2022, 3:16 PM

#

topological analysis

mint patio Feb 1, 2022, 3:17 PM

#

toxic schooner do u still hate me for "your anal is nice"

no

#

I never hated you for that

toxic schooner Feb 1, 2022, 3:17 PM

#

stareFlushed

mint patio Feb 1, 2022, 3:19 PM

#

#

please save me from my suffering

#

I hate coordinate systems

#

Fuck vector spaces

#

All my homies hate vectors

toxic schooner Feb 1, 2022, 3:20 PM

#

am i not ur homie? stare

mint patio Feb 1, 2022, 3:20 PM

#

Shut up and let me be angry in peace

toxic schooner Feb 1, 2022, 3:22 PM

#

ok ok

#

i dont like coordinate systems myself tbh

sleek wing Feb 1, 2022, 3:24 PM

#

mint patio

my mans wtf is this biatch

#

is this some 4 dimensional cylinder memes

mint patio Feb 1, 2022, 3:24 PM

#

Acceleration in cylindrical coordinates or something

sleek wing Feb 1, 2022, 3:24 PM

#

I see

mint patio Feb 1, 2022, 3:24 PM

#

I've been 14% paying attention

surreal sapphire Feb 1, 2022, 3:24 PM

#

you can do linear algebra without coordinates

mint patio Feb 1, 2022, 3:24 PM

#

Perhaps less

sleek wing Feb 1, 2022, 3:25 PM

#

surreal sapphire you can do linear algebra without coordinates

every vector space of equal dimension is isomorphic until you try and integrate something in them ;)

surreal sapphire Feb 1, 2022, 3:26 PM

#

exercise: prove that V and W are isomorphic
solution: first we will prove that V is isomorphic...

toxic schooner Feb 1, 2022, 3:26 PM

#

stare

pale orchid Feb 1, 2022, 3:29 PM

#

@mint patio

mint patio Feb 1, 2022, 3:29 PM

#

I did not know I had PTSD until I read those two words again

#

And it brings me back to when you Stun Seeded me

pale orchid Feb 1, 2022, 3:29 PM

#

your nuts flashed before your eyes

mint patio Feb 1, 2022, 3:29 PM

#

Like that guy in Ratatouille

mint patio Feb 1, 2022, 3:29 PM

#

pale orchid your nuts flashed before your eyes

bro?

#

am I reading that right

#

😭

fair mural Feb 1, 2022, 3:30 PM

#

yeah

toxic schooner Feb 1, 2022, 3:31 PM

#

pale orchid your nuts flashed before your eyes

stare

mint patio Feb 1, 2022, 3:36 PM

#

#

toxic schooner Feb 1, 2022, 3:36 PM

#

mint patio

"DN"

mint patio Feb 1, 2022, 3:36 PM

#

Stop it.

toxic schooner Feb 1, 2022, 3:36 PM

#

these people love their nutz so much

#

lmao

toxic schooner Feb 1, 2022, 3:37 PM

#

mint patio Stop it.

stare

#

feather using full stops?

mint patio Feb 1, 2022, 3:37 PM

#

Only for emphasis

rose dock Feb 1, 2022, 3:38 PM

#

Lol

fair mural Feb 1, 2022, 3:39 PM

#

mint patio

aaaaaahhh

mellow moon Feb 1, 2022, 3:40 PM

#

mint patio

p-adic singular integral operators

#

YEAY

#

(If you want me dead, I understand)

mint patio Feb 1, 2022, 3:40 PM

#

(This looks cool and I think I would also be equally excited if I understood what any of these hieroglyphics meant)

mellow moon Feb 1, 2022, 3:41 PM

#

I don't understand either

#

Just it's a game

mint patio Feb 1, 2022, 3:41 PM

#

I recognize words and symbols independently but not together

mellow moon Feb 1, 2022, 3:41 PM

#

think about two maths topics you think that's uneralted

mint patio Feb 1, 2022, 3:41 PM

#

Mhm

mellow moon Feb 1, 2022, 3:41 PM

#

puts them in the google search bar all together

#

Then here is the topic

#

he is real and can hurt you

mint patio Feb 1, 2022, 3:42 PM

#

#

Of course this exists

#

OF COURSE it exists

mellow moon Feb 1, 2022, 3:42 PM

#

You have to me more exotic

deep mango Feb 1, 2022, 3:42 PM

#

sully

mellow moon Feb 1, 2022, 3:42 PM

#

wanna try Ryc ?

deep mango Feb 1, 2022, 3:42 PM

#

algebraic analysis.

#

i know that one exists

sleek wing Feb 1, 2022, 3:43 PM

#

oh for FUCKS SAKE

rose dock Feb 1, 2022, 3:43 PM

#

Topological complexity theory

deep mango Feb 1, 2022, 3:43 PM

#

i wish i could search differential galois theory without knowing that one exists too

deep mango Feb 1, 2022, 3:43 PM

#

sleek wing oh for FUCKS SAKE

ok i actually knew about this

sleek wing Feb 1, 2022, 3:43 PM

#

of course you did KEK

mellow moon Feb 1, 2022, 3:43 PM

#

This is awesome

deep mango Feb 1, 2022, 3:43 PM

#

funnily enough

#

people bring it up in talks a lot

#

cause fluids are represented by vector fields, and vector fields generate lie algebras

sleek wing Feb 1, 2022, 3:44 PM

#

I should've known they'd be used tbh, you get lots of wacky non-linearity from the navier stokes

deep mango Feb 1, 2022, 3:44 PM

#

and then you can use grobner basis stuff to understand these things

sleek wing Feb 1, 2022, 3:45 PM

#

I knew it

rose dock Feb 1, 2022, 3:45 PM

#

Ahahahaha

toxic schooner Feb 1, 2022, 3:45 PM

#

mint patio Only for emphasis

a ton of emphasis stare

toxic schooner Feb 1, 2022, 3:45 PM

#

mint patio OF COURSE it exists

dude its NT

#

u can write whatever u want and NT and it will exist

mellow moon Feb 1, 2022, 3:46 PM

#

This works is almost everything

sleek wing Feb 1, 2022, 3:47 PM

#

toxic schooner u can write whatever u want and NT and it will exist

anything huh?

#

not quite

toxic schooner Feb 1, 2022, 3:47 PM

#

sleek wing not quite

kekw

#

so true

mellow moon Feb 1, 2022, 3:48 PM

#

vivid halo Feb 1, 2022, 3:53 PM

#

rep theory of p-adic groups is pretty goated

gentle bay Feb 1, 2022, 4:01 PM

#

p-adics here.

maiden bear Feb 1, 2022, 4:03 PM

#

i cannot find anything to add to topology that doesn't give me results

fair mural Feb 1, 2022, 4:04 PM

#

numerical

maiden bear Feb 1, 2022, 4:04 PM

#

topological probability theory, topological signal processing, topological number theory, numerical topology

fair mural Feb 1, 2022, 4:04 PM

#

bruh

maiden bear Feb 1, 2022, 4:04 PM

#

fair mural numerical

numerical topology is used

rose dock Feb 1, 2022, 4:04 PM

#

Topological computability theory

fair mural Feb 1, 2022, 4:04 PM

#

topology is everywhere

maiden bear Feb 1, 2022, 4:04 PM

#

in some kind of optimization problems involving topology

maiden bear Feb 1, 2022, 4:05 PM

#

rose dock Topological computability theory

#

lmfaooo

#

it's impossible man

fair mural Feb 1, 2022, 4:05 PM

#

maiden bear i cannot find anything to add to topology that doesn't give me results

@deep mango explain this

maiden bear Feb 1, 2022, 4:05 PM

#

#

fits better

#

no but i need someone who knows more areas than me

#

(that isnt hard)

#

but still

#

#

COME ON MAN

neat lintel Feb 1, 2022, 4:09 PM

#

almost certainly

maiden bear Feb 1, 2022, 4:09 PM

#

#

i give up

neat lintel Feb 1, 2022, 4:09 PM

#

topology can be stuck onto any vaguel mathematical thing

maiden bear Feb 1, 2022, 4:09 PM

#

yeah it has to be the term

neat lintel Feb 1, 2022, 4:09 PM

#

and get a search result

maiden bear Feb 1, 2022, 4:09 PM

#

being broadly used

summer sparrow Feb 1, 2022, 4:13 PM

#

idk where to ask this so i'm asking here

do our eardrums vibrate at frequencies above 20kHz? ik we cant hear frequencies above 20k but is it cuz our eardrums just stop vibrating above 20k? or is it cuz our brains cant process sounds above 20k for some reason?

mint patio Feb 1, 2022, 4:38 PM

#

Is taking a limit an operation?

leaden torrent Feb 1, 2022, 4:39 PM

#

sure, "operation" is kind of a vague term

mint patio Feb 1, 2022, 4:39 PM

#

Or can you call them operators?

#

Idk

leaden torrent Feb 1, 2022, 4:39 PM

#

taking a limit to a specific value is an operation on the set of real functions (or sequences or whatever you're doing) to the set of real numbers

mint patio Feb 1, 2022, 4:39 PM

#

I was about to explain why I was asking in case it changed anything then I realized it was nonsense

frail hawk Feb 1, 2022, 6:28 PM

#

I don't know which channel this belongs in so I'll throw this in here, but I was trying to investigate the density of pythagorean quadruples on the sphere and so I took the parameterization of them from wikipedia and then calculated the angles a vector formed by the legs would give in spherical coordinates and I got this fractal pattern

#

(Spoilered because the image is genuinely disturbing to me)

#

This is the parameterization I used

#

What about the parameterization exactly causes this pattern to emerge?

#

I tried to plot pythagorean quadruples using another parameterization called Harper's parameterization and I got a different fractal pattern

#

Here is the description of the parameterization

#

Is there any good explanation as to why these two (only slightly different) algorithms produce such vastly different fractals?

#

I noticed the locus points in the harper fractals vs the evil fractal (I'm calling the first fractal evil because it looks like a bunch of evil eyes) are the same

#

And the sizes of these locuses are also the same

sleek wing Feb 1, 2022, 6:34 PM

#

I'm noticing a line at, what I'm guessing is y=pi/4?

#

could have something to do with when the cos or sin of one of the angles is 0

#

that's the first thing that comes to mind

frail hawk Feb 1, 2022, 6:38 PM

#

So I plotted this in spherical coordinates using the physics convention and so that would correspond with phi=π/4 which is a line of symmetry for these points

sleek wing Feb 1, 2022, 6:39 PM

#

I am curious to see what happens if you take those white lines in the 2nd plot and map them back onto the sphere

#

they almost look geodesic-y

frail hawk Feb 1, 2022, 6:43 PM

#

here ya go

sleek wing Feb 1, 2022, 6:44 PM

#

huh that's really neat

neat lintel Feb 1, 2022, 6:44 PM

#

Wew

#

have you listened to Mild High Club?

sleek wing Feb 1, 2022, 6:44 PM

#

I have actually

neat lintel Feb 1, 2022, 6:44 PM

#

Why

sleek wing Feb 1, 2022, 6:44 PM

#

I felt a greater calling

#

A voice from the clouds told me to do it

frail hawk Feb 1, 2022, 6:59 PM

#

btw here's a higher resolution version

sleek wing Feb 1, 2022, 7:00 PM

#

hmm

#

we have to be careful to think about if there actually is a pattern here and it's not just a limitation of a finite resolution

frail hawk Feb 1, 2022, 7:02 PM

#

there's definitely a pattern here

#

If use the algorithm for generating quadruples at the same resolution, I get this

sleek wing Feb 1, 2022, 7:05 PM

#

I'm just trying to think why being close to phi = pi/4 mean there's no integer solutions

frail hawk Feb 1, 2022, 7:12 PM

#

okay, so your question helped me identify a flaw I made in my implementation of harper's algorithm

#

I wrote code that prevented two parameters from being equal to each other

sleek wing Feb 1, 2022, 7:13 PM

#

ah

frail hawk Feb 1, 2022, 7:13 PM

#

now that line contains a high density of solutions

#

sorry, one more correction, I was double plotting solutions that were invariant under permutation, I am no longer doing that

sleek wing Feb 1, 2022, 7:16 PM

#

ah that looks a bit more uniform

vast surge Feb 1, 2022, 7:37 PM

#

fair mural is it <@!326954635287855104>

You summoned me?

fair mural Feb 1, 2022, 7:37 PM

#

someone mentioned you

vast surge Feb 1, 2022, 7:37 PM

#

Oh cool

fair mural Feb 1, 2022, 7:38 PM

#

mint patio I forgot who it is but someone here has this really nice pfp from this cool fant...

.

vast surge Feb 1, 2022, 7:38 PM

#

That'd be my banner. There's also someone here who's pfp is a picture of Mat Cauthon from Wheel of Time but I forget their name.

leaden skiff Feb 1, 2022, 7:42 PM

#

you guys ever look at an old scary intimidating professor

#

and think about how at one point they were a student too

pale orchid Feb 1, 2022, 7:47 PM

#

no

#

professors are born 60 y/o

sleek wing Feb 1, 2022, 7:48 PM

#

it's true

fair mural Feb 1, 2022, 7:49 PM

#

so this is how moth knows so much so young

#

they were born with the knowledge opencry

surreal sapphire Feb 1, 2022, 7:54 PM

#

i never saw an old scary intimidating professor

sick burrow Feb 1, 2022, 8:08 PM

#

pale orchid professors are born 60 y/o

If this is true how do I know so many profs who are under 40

jagged snow Feb 1, 2022, 8:09 PM

#

Guys I was making a group with some colleagues on graph theory, they didnt present shit in terms of content to me, except like 3 pages...I gave them all my work...which was a large chunk...they just didnt work on it, I can feel it, and probably worked together behind my back on their own work on some weird ish...Im f*cked now. gotta do everything by myself fast.

#

man im a mess too, I told my teacher that I didnt thought it was fair the amount of work we each put on the work.

#

please give your opinion

cinder flume Feb 1, 2022, 8:50 PM

#

I can try to help with graph theory

#

if you want

rose dock Feb 1, 2022, 9:07 PM

#

Have you tried talking to them?

velvet dagger Feb 1, 2022, 9:33 PM

#

Feels like a group project in a graph theory class given the term "teacher"

wooden flax Feb 2, 2022, 1:50 AM

#

For elements A and B in Obj(Category), does f \in Homc(A,B) need to be injective?

#

sorry if this is a dumb question bleakcat

#

#

Also, does property 1 of this mean that an element of Homc(A,A) is in Hom(A,B)?

#

or am i misunderstanding this

#

because like why is it talking about homomorphisms from A -> A when its talking about homomorphisms from A -> B

deep mango Feb 2, 2022, 1:54 AM

#

wooden flax For elements A and B in Obj(Category), does f \in Homc(A,B) need to be injectiv...

why would it need to be injective hmmCat

#

it doesn't

wooden flax Feb 2, 2022, 1:54 AM

#

wooden flax For elements A and B in Obj(Category), does f \in Homc(A,B) need to be injectiv...

Or is it just like group homomorphisms where it does not need to be xjective

#

ok thanks

deep mango Feb 2, 2022, 1:55 AM

#

for example, in the category Set, for two sets A and B, Hom(A, B) just consists of all functions from A to B.

#

Not necessarily injective ones

#

(the injective ones will be the so-called "monomorphisms")

wooden flax Feb 2, 2022, 1:55 AM

#

should i think of these as group homomorphisms but on categories?

deep mango Feb 2, 2022, 1:56 AM

#

wooden flax Also, does property 1 of this mean that an element of Homc(A,A) is in Hom(A,B)?

that isn't going to be the case. a function from A to A cannot be a function from A to B.

wooden flax Feb 2, 2022, 1:57 AM

#

yeah thats what i thought

#

but it says properties of Homc(A,B)

#

so that confused me

deep mango Feb 2, 2022, 1:57 AM

#

wooden flax because like why is it talking about homomorphisms from A -> A when its talking ...

the set of morphisms Hom(A, B) is defined for any objects A and B. they're just describing what has to happen in the particular case that A and B are the same object (so the set Hom(A, A))

wooden flax Feb 2, 2022, 1:57 AM

#

got it, thanks

#

i thought it was talking abt special distinct elemtns A,B

#

not just any general ones

deep mango Feb 2, 2022, 1:58 AM

#

wooden flax should i think of these as group homomorphisms but on categories?

you should think about these just like group homomorphisms. morphisms don't go from one category to another, they go from one object to another. so in the category Grp (of groups), then Hom(G, H) consists of all the homomorphisms from G to H.

#

you'll see things that act like homomorphisms of categories when you see "functors"

deep mango Feb 2, 2022, 2:00 AM

#

wooden flax i thought it was talking abt special distinct elemtns A,B

yeah i guess what they really mean is "there is a function Hom_C which takes two objects in C and outputs a set. the elements of this set are called morphisms. here are the properties of the function Hom_C."

wooden flax Feb 2, 2022, 2:00 AM

#

deep mango you should think about these just like group homomorphisms. morphisms don't go ...

sorry i meant objects in categories not categories lol

deep mango Feb 2, 2022, 2:00 AM

#

yeah that's right

wooden flax Feb 2, 2022, 2:00 AM

#

ty

jagged snow Feb 2, 2022, 5:43 AM

#

wheres does isomorphism comme in graphs? should I learn it after I learn the types of graphs, adjecency matrixes, potencies of the matrix, etc.?

cobalt cliff Feb 2, 2022, 5:56 AM

#

Isomorphism is some sort of structure preserving equivalence

neat lintel Feb 2, 2022, 6:11 AM

#

mapping sotrue

#

oh in graph theory

rotund steppe Feb 2, 2022, 6:11 AM

#

What’s the difference between that and homomorphism?

jovial ember Feb 2, 2022, 6:11 AM

#

praygeAscend

#

Isomorphism has an inverse

neat lintel Feb 2, 2022, 6:12 AM

#

a homomorphism is a gay isomorphism meaning that it's not invertible

rotund steppe Feb 2, 2022, 6:12 AM

#

Ah

jovial ember Feb 2, 2022, 6:12 AM

#

It means they r the same

#

Homomorphism just means it respects da structure

muted oxide Feb 2, 2022, 6:15 AM

#

Any idea how to solve subset sum problem with subset size of 4 in O(n^2 logn) I could only do O(n^3 logn)

dawn bridge Feb 2, 2022, 6:48 AM

#

neat lintel a homomorphism is a gay isomorphism meaning that it's not invertible

no

#

an isomorphism is an invertible homomorphism

#

that does not mean a homomorphism is a non-invertible isomorphism

#

homomorphisms can be invertible too, which makes them isomorphisms. Isomorphisms are a type of homomorphism

neat lintel Feb 2, 2022, 6:49 AM

#

oh hey that's true!

#

lol idk why i didnt think of that

compact tartan Feb 2, 2022, 8:21 AM

#

muted oxide Any idea how to solve subset sum problem with subset size of 4 in O(n^2 logn) I ...

calculate all sums of 2 numbers and put them into a treemap

#

then iterate over all pairs of numbers and see if whatever is left to complete the sum appears in the treemap

#

modulo some non-repetition checks this is n^2log n

jagged snow Feb 2, 2022, 8:27 AM

#

Fam, in graphs does a cycle end in the same first vertex? or is it a circuit that does that?

rose dock Feb 2, 2022, 12:29 PM

#

Is this not a standard definition that can be easily googled?

#

Would save a lot of time compared to asking discord

fair mural Feb 2, 2022, 12:30 PM

#

lots of people ask questions that can be googled for an answer in 2 seconds

sleek wing Feb 2, 2022, 12:30 PM

#

fair mural lots of people ask questions that can be googled for an answer in 2 seconds

it's infuriating

fair mural Feb 2, 2022, 12:31 PM

#

agreed

sleek wing Feb 2, 2022, 12:31 PM

#

mfs clearly been spoonfed since the day they borned

#

anyway guys what's the definition of a number?! sotrue

toxic schooner Feb 2, 2022, 12:31 PM

#

sotrue

neat lintel Feb 2, 2022, 12:39 PM

#

Hi! Im a high schooler who's interested in math, and I was wondering if I'm going about studying it badly. Right now I'm studying from lecture notes for two courses (one algebra and the other analysis) and doing the psets as well as the textbook exercises for whatevers covered in the lecture notes (the textbooks are munkres, baby rudin, alfohrs, artin and axler). Is it bad that I'm skipping the actual text? Like, do I need to read the text to understand the material or is it fine if i just continue doing what I'm doing?

rose dock Feb 2, 2022, 12:42 PM

#

neat lintel Hi! Im a high schooler who's interested in math, and I was wondering if I'm goin...

Depends on the actual lecture notes themselves. Some notes are almost as detailed as a text, but you still might be missing information

neat lintel Feb 2, 2022, 12:43 PM

#

Yeah I've noticed that a couple things from the text are missing here and there, but the exposition seems largely self contained, in that the lecture notes dont reference results in the text that haven't been proven in the notes themselves unless they're really straightforward

#

Should I send you the course webpage?

rose dock Feb 2, 2022, 12:44 PM

#

Sure

#

But what is your main motivation for using lecture notes instead of the textbook?

neat lintel Feb 2, 2022, 12:45 PM

#

Well the texts dwell way too long on simple results imo and it's really hard to keep my eyes open when I've read everything substantial already

#

https://canvas.harvard.edu/courses/75936/assignments/syllabus
https://canvas.harvard.edu/courses/79090/assignments/syllabus

#

(There's two)

rose dock Feb 2, 2022, 12:47 PM

#

👀

#

Math 55

#

Uhhhh

#

I'd definitely recommend reading the textbook at that point

neat lintel Feb 2, 2022, 12:47 PM

#

Oh ok

#

Any reason in particular?

rose dock Feb 2, 2022, 12:48 PM

#

Because math 55 was not designed for mortals

#

It rushes through things extremely quickly

neat lintel Feb 2, 2022, 12:48 PM

#

Dang I must be missing quite a bit then

#

I like the flow tho

#

Every lecture has something nice in it

#

Though yeah I probably should have guessed just based on the number of texts loll

rose dock Feb 2, 2022, 12:49 PM

#

Every lecture has something nice in it because every lecture is like 1/4 of an entire one-semester course

neat lintel Feb 2, 2022, 12:50 PM

#

Hm

#

It did feel a bit weird that each lecture was associated with like three sections of the book

#

But honestly I think it covers the material p well

#

Im able to do almost every exercise in the sections mentioned

deep mango Feb 2, 2022, 12:51 PM

#

did u knew Daniel Litt took Math 55. what grade did Daniel Litt from UGA get in Math 55? what Grade did Bill Gates get in Math 55? did Mark Zuckerberg take Math 55?

neat lintel Feb 2, 2022, 12:51 PM

#

Who is Daniel litt

deep mango Feb 2, 2022, 12:51 PM

#

This is an old copypasta from here lol

#

Daniel Litt is a professor at UGA who is prolific on math twitter

neat lintel Feb 2, 2022, 12:52 PM

#

Heh I'm a new member sorry 😬

rose dock Feb 2, 2022, 12:52 PM

#

Like lectures 6, 7, 8, 9, 10, 13, 14 contains pretty much an entire undergrad linear algebra class

neat lintel Feb 2, 2022, 12:52 PM

#

Hm

#

It's so boring tho 😭😭😭😭

fair mural Feb 2, 2022, 12:52 PM

#

deep mango did u knew Daniel Litt took Math 55. what grade did Daniel Litt from UGA get in ...

you forgot that one guy from the simpsons too

neat lintel Feb 2, 2022, 12:53 PM

#

I mean the texts, not the material

rose dock Feb 2, 2022, 12:53 PM

#

Lectures 16-19 in 55B is like an entire real analysis course

#

20-24 too

blazing pawn Feb 2, 2022, 12:56 PM

#

neat lintel Well the texts dwell way too long on simple results imo and it's really hard to ...

It probably depends on the year but math 55 is allegedly not great coverage of a lot of material because its target demographic is honestly people who know it already

fair mural Feb 2, 2022, 12:57 PM

#

math 55 sounds cringe

blazing pawn Feb 2, 2022, 12:58 PM

#

Ppl have complained about the complex analysid coverage being lackluster for example i think

rose dock Feb 2, 2022, 12:58 PM

#

Moth will you take math 55?

blazing pawn Feb 2, 2022, 12:59 PM

#

??

neat lintel Feb 2, 2022, 12:59 PM

#

blazing pawn Ppl have complained about the complex analysid coverage being lackluster for exa...

Hm I haven't gotten to complex analysis yet but for what I have covered so far (until lec11 in each) the coverage seems good enough to do the textbook exercises of the associated sections

#

Also moth are you in Harvard??

blazing pawn Feb 2, 2022, 12:59 PM

#

Im not going to harvard lol??

neat lintel Feb 2, 2022, 12:59 PM

#

🤔

blazing pawn Feb 2, 2022, 12:59 PM

#

I mean results arent out yet

#

But its not my top choice regardless

neat lintel Feb 2, 2022, 1:00 PM

#

Are there better options?

deep mango Feb 2, 2022, 1:00 PM

#

sotrue

blazing pawn Feb 2, 2022, 1:01 PM

#

Thats pretty subjective

deep mango Feb 2, 2022, 1:01 PM

#

I am go to Harvards.

neat lintel Feb 2, 2022, 1:01 PM

#

I mean in your opinion

blazing pawn Feb 2, 2022, 1:01 PM

#

Did ryc take math 55 at harvard? What grade did ranyakumodchalkboard get in math 55 at havard?

rose dock Feb 2, 2022, 1:02 PM

#

Yes, 100

blazing pawn Feb 2, 2022, 1:02 PM

#

neat lintel I mean in your opinion

Uchicago

neat lintel Feb 2, 2022, 1:03 PM

#

I actually picked the course I was going to follow after doing a lot of Google searching for the most complete course webpages available and I wasn't able to find much for the Chicago courses

#

Stingy 🤒

deep mango Feb 2, 2022, 1:03 PM

#

blazing pawn Did ryc take math 55 at harvard? What grade did ranyakumodchalkboard get in math...

A+

blazing pawn Feb 2, 2022, 1:04 PM

#

0

rose dock Feb 2, 2022, 1:04 PM

#

Hmm

#

Sussy

#

The real and complex anal course has more topology than anal

fair mural Feb 2, 2022, 1:13 PM

#

i mean if you’re gonna do the cursed abbreviation of analysis you might as well do the cursed abbreviation of topology

rose dock Feb 2, 2022, 1:14 PM

#

:truetrue:

neat lintel Feb 2, 2022, 1:14 PM

#

Oh my god j love topology so much lol

#

Tbf I've only done the top part of thee course so far

blazing pawn Feb 2, 2022, 1:14 PM

#

Many such cases

neat lintel Feb 2, 2022, 1:14 PM

#

Yes

blazing pawn Feb 2, 2022, 1:14 PM

#

Point set sully

deep mango Feb 2, 2022, 1:14 PM

#

COFFIS CUP

fair mural Feb 2, 2022, 1:14 PM

#

DONUT

#

TOKIDOKI

rose dock Feb 2, 2022, 1:15 PM

#

Lol

blazing pawn Feb 2, 2022, 1:15 PM

#

I dont understand the internal logic behind this

neat lintel Feb 2, 2022, 1:15 PM

#

I hear young pointset enthusiasts like myself should curb their excitement because all the research has been done or smth but still

#

It's so fun

#

Lol

blazing pawn Feb 2, 2022, 1:15 PM

#

Why introduce pi_1 in an analysis course before doing any complex analysis

rose dock Feb 2, 2022, 1:15 PM

#

Why introduce topology before analysis

blazing pawn Feb 2, 2022, 1:15 PM

#

Why do it at all

deep mango Feb 2, 2022, 1:15 PM

#

sully

blazing pawn Feb 2, 2022, 1:15 PM

#

Because you need it alphyte lol

rose dock Feb 2, 2022, 1:15 PM

#

Or like

#

Non metric-space

neat lintel Feb 2, 2022, 1:16 PM

#

No i tried learning analysis from rudin and the topological approach seems more natural

deep mango Feb 2, 2022, 1:16 PM

#

I think that doing just metric space topology first is smart

blazing pawn Feb 2, 2022, 1:16 PM

#

but why put pi_1 in an analysis class but before you see winding numbers

deep mango Feb 2, 2022, 1:16 PM

#

Cause then learning point set is almost effortless except for the tougher theorems

blazing pawn Feb 2, 2022, 1:16 PM

#

it just seem odd pedagogically to me

deep mango Feb 2, 2022, 1:16 PM

#

Idk i think you could do these either way moth

neat lintel Feb 2, 2022, 1:16 PM

#

Oh is complex analysis why we care about running in circles?

deep mango Feb 2, 2022, 1:17 PM

#

It probably makes it easier to teach complex analysis if people know how homotopy works already

blazing pawn Feb 2, 2022, 1:17 PM

#

neat lintel Oh is complex analysis why we care about running in circles?

No not really

#

But winding numbers are the piece of analysis that relates back to pi_1

last oxide Feb 2, 2022, 1:17 PM

#

I agree with the pi_1 take, but not with the topology take
the topology of the line is very special
you can just skip a bunch of shit

rose dock Feb 2, 2022, 1:18 PM

#

I mean you'd need metric space

#

Because they also do R^n

#

And C

blazing pawn Feb 2, 2022, 1:18 PM

#

deep mango It probably makes it easier to teach complex analysis if people know how homotop...

complex analysis is the study of locally constant sheaves on a riemann surface 🙂

deep mango Feb 2, 2022, 1:18 PM

#

sully

last oxide Feb 2, 2022, 1:19 PM

#

sure
R^n is more the case of "separable metric spaces"

#

then you can use a bit more refined definitions

deep mango Feb 2, 2022, 1:19 PM

#

Locally compact complete sotrue

last oxide Feb 2, 2022, 1:20 PM

#

blazing pawn complex analysis is the study of locally constant sheaves on a riemann surface �...

bringing algebraists hell to analysis

sleek wing Feb 2, 2022, 1:20 PM

#

last oxide bringing algebraists hell to analysis

https://tenor.com/view/dur-derp-derp-face-duh-whatever-gif-7509475

Tenor

#

chatting shit again are we?

last oxide Feb 2, 2022, 1:20 PM

#

PepeLaughWH

#

as if you understand what they just said

#

I dont nathanPepe

deep mango Feb 2, 2022, 1:21 PM

#

I do bsully3 and I wish I didn't

#

This server was a mistake...

last oxide Feb 2, 2022, 1:21 PM

#

I dont know what locally constant sheaves are

blazing pawn Feb 2, 2022, 1:21 PM

#

Ryc coping and seething

#

do you know what a sheaf is

last oxide Feb 2, 2022, 1:22 PM

#

no
only the classic example of germs of functions

blazing pawn Feb 2, 2022, 1:22 PM

#

eh

#

ok well constant sheaves = every set has the same functions associated to it

#

Locally constant = theres an open cover where, restricting to each element of the cover, thats true

last oxide Feb 2, 2022, 1:24 PM

#

hmm

#

is there some holomorphicity implied here?

blazing pawn Feb 2, 2022, 1:24 PM

#

dunno what you mean by that

last oxide Feb 2, 2022, 1:25 PM

#

like
as an object of study of complex analysis
would these functions have any other properties?

#

I know the answer was memey
just trying to understand hqmm_bab

blazing pawn Feb 2, 2022, 1:26 PM

#

It wasnt memey i just wasnt clear on what you were asking, uh you dont actually demand that they be functions in generality but you can demand some structure on the sheaves yeah

#

like the sheaf might associate a complex vector space to every open set for example, rather than just a set

last oxide Feb 2, 2022, 1:26 PM

#

I meant the original one

blazing pawn Feb 2, 2022, 1:27 PM

#

Oh hmmCat

#

the meme is that such sheaves on nice spaces correspond to functors from the fundamental groupoid to Set

#

hence to covers

last oxide Feb 2, 2022, 1:27 PM

#

guess Ill see what those are later
in context
Im definitely missing examples here

blazing pawn Feb 2, 2022, 1:29 PM

#

i also kind of lied about the definition of constant sheaves but thats okay catGiggle

last oxide Feb 2, 2022, 1:29 PM

#

smugpepe

blazing pawn Feb 2, 2022, 1:30 PM

#

you take the constant presheaf and then sheafify so that the stalks are constant but i dont think that means literally anything to you so. ignore it

last oxide Feb 2, 2022, 1:31 PM

#

PepeLaughWH okok

#

thanks for taking the time anyway

tiny marten Feb 2, 2022, 3:58 PM

#

sheaf maniacs

#

the trick is to switch to applied math

#

"grothen-who?" - applied mathematicians

tiny marten Feb 2, 2022, 4:34 PM

#

i'm down here in the mud playing with functionals and point set topology catKing

sleek wing Feb 2, 2022, 4:37 PM

#

people who don't like point set have forgotten how to have fun FR

deep mango Feb 2, 2022, 4:42 PM

#

uhhhh

mellow moon Feb 2, 2022, 5:13 PM

#

tiny marten "grothen-who?" - applied mathematicians

They are applied Mathematicians on which field ? Because everyone that did a little of functional Analysis have already heard its name at least once.

tiny marten Feb 2, 2022, 5:15 PM

#

ha i was just kidding i am sure people in applied math also find use for some pretty abstract stuff

mellow moon Feb 2, 2022, 5:15 PM

#

It was a real question

tiny marten Feb 2, 2022, 5:15 PM

#

people apply algebraic topology and stuff all the time, tho i dont plan on using the notion of a sheaf myself

#

oh

#

well i would say in like applied math near CS like i do you can find people who are basically just CS-trained

#

they really might not have heard of the guy, tho he is obviously SUPER famous in math

#

if you dont mess with math more complicated than topology on R^n and stuff it's understandable

mellow moon Feb 2, 2022, 5:17 PM

#

I always struggle with myself to know if we can consider CS as a part of Maths or an other Sciecne with huge intersection with some Maths subfields

tiny marten Feb 2, 2022, 5:17 PM

#

lol yeah

#

it's tricky i think some CS people are mathematicians

#

it depends on how they present their work i think

mellow moon Feb 2, 2022, 5:19 PM

#

Isn't Hahn-Banach useful in CS for DL and ML, , being the reason why we can restrict ourselves to highfinite dimensional problems instead of infinite dimensional ones ?

tiny marten Feb 2, 2022, 5:19 PM

#

yes definitely functional analysis is really important near ML and in other fields of CS

#

like i am using functional analysis right now to redo the way optimization is dealt with for this algorithm

#

basically all the optimization stuff it does on this state space can be transformed into geometric relations between linear functions

#

and neural nets are dealt with using functional analysis primarily but it's often pretty simple

#

Lp spaces and lots of hard analysis with bound computations

#

i am sure there is a high ceiling and that this is just what CS students can reasonably handle

#

convex optimization/geometry too

mellow moon Feb 2, 2022, 5:25 PM

#

I don't really like this one, but I was aware of it

#

Saddle point optimization stuff etc.

tiny marten Feb 2, 2022, 5:26 PM

#

https://arxiv.org/pdf/2009.10713.pdf

#

yeah some of it is weird but i am doing stuff with the hilbert metric right now so it's not real weird

#

this doc is sort of an introduction to what people do for neural network math, there is probably more sophisticated active research

#

there is actually a theorem for neural networks that allows for a network to approximate certain functions on R

#

it kinda sets up this cool analysis-y vibe to the field

mellow moon Feb 2, 2022, 5:29 PM

#

I have already heard about use of Sobolev and Besov spaces too

#

which is more related to my actual maths interests

tiny marten Feb 2, 2022, 5:29 PM

#

yeah i think there is a big task to actually understand what deep learning and stuff is mathematically

#

and how ML actually relates to more hardcore mathematics

wild vale Feb 2, 2022, 8:43 PM

#

Hey can we ask physics doubts here

#

?

snow tulip Feb 2, 2022, 8:43 PM

#

you asked that in the other chat too

hollow sundial Feb 2, 2022, 8:48 PM

#

wild vale Hey can we ask physics doubts here

of course. i doubt physics can take us to the moon

wild vale Feb 2, 2022, 8:51 PM

#

wild vale Feb 2, 2022, 8:52 PM

#

snow tulip you asked that in the other chat too

Yeh😅

snow tulip Feb 2, 2022, 8:53 PM

#

idk the answer but i like your handwriting

wild vale Feb 2, 2022, 8:53 PM

#

snow tulip idk the answer but i like your handwriting

Really thanks
I had to translate it so

torpid patrol Feb 2, 2022, 10:57 PM

#

I need some advice. I needed a reference letter for a program and was talking to my supervisor of my current program about how I contacted another person to provide a letter. I have gotten a letter from the other person but now I have found the my current supervisor has written a ref letter without me requesting one. What do I say to them?

calm thistle Feb 2, 2022, 11:41 PM

#

Thanks for the reply

solar hound Feb 3, 2022, 12:00 AM

#

#

Working on a little something

#

(Works for any number)

dense belfry Feb 3, 2022, 12:29 AM

#

solar hound

Do you have generalized divisibility test algorithms?

solar hound Feb 3, 2022, 12:30 AM

#

dense belfry Do you have generalized divisibility test algorithms?

yes

#

for base 10

dense belfry Feb 3, 2022, 12:30 AM

#

Huh okay

solar hound Feb 3, 2022, 12:30 AM

#

generalized tests for primes & prime powers

#

it combines tests for composites

long matrix Feb 3, 2022, 12:36 AM

#

'There is no formula for degree 5+ polynomials.'

Only recently I realised this is because most of the actual solutions themselves cannot expressed with +*-/ nth roots (in the same way as transcendentals). Like, I was always under the impression they could be, but it's just that it was somehow impossible to find a formula to find them like you could for degree 4-.

Anyone else? 🤔

solar hound Feb 3, 2022, 12:45 AM

#

is there a formula for degree 5+ polynomials that uses higher order operations

#

like how

#

multiplication is repeated addition

crystal stream Feb 3, 2022, 12:46 AM

#

bring radicals

dawn bridge Feb 3, 2022, 12:46 AM

#

the formula for degree 5 polynomial is the 'root of degree 5 polynomial'

solar hound Feb 3, 2022, 12:46 AM

#

exponentiation is repeated multiplication

#

could you use repeated exponentiation to solve them

dawn bridge Feb 3, 2022, 12:46 AM

#

i mean wtf is a square root anyway

#

we just made that crap up

crystal stream Feb 3, 2022, 12:46 AM

#

you can use hypergeometric functions

solar hound Feb 3, 2022, 12:46 AM

#

square root = number ^ (1/2)

dawn bridge Feb 3, 2022, 12:46 AM

#

there shouldnt be a quadratic formula

solar hound Feb 3, 2022, 12:47 AM

#

imo

#

fractional powers are cooler then radicals

#

like as for notation

solar hound Feb 3, 2022, 12:47 AM

#

dawn bridge there shouldnt be a quadratic formula

dpeends

crystal stream Feb 3, 2022, 12:47 AM

#

root notation kinda sucks

solar hound Feb 3, 2022, 12:48 AM

#

yeah imo fractional powers are so much better of notation

crystal stream Feb 3, 2022, 12:48 AM

#

though nested fractional powers can suck

solar hound Feb 3, 2022, 12:48 AM

#

x^(1/2) * x^(1/2) = x

crystal stream Feb 3, 2022, 12:48 AM

#

like, how would you represent $\phi = \sqrt{1 + \sqrt{1 + ...}}$

solar hound Feb 3, 2022, 12:48 AM

#

it just makes sense

fathom swallowBOT Feb 3, 2022, 12:48 AM

#

random variable

crystal stream Feb 3, 2022, 12:48 AM

#

haven't latex'd in a while clearly

dawn bridge Feb 3, 2022, 12:49 AM

#

square root is least upper bound to the equation x^2 <= smthing

#

we just make more complicated stuff up that is useful to us

solar hound Feb 3, 2022, 12:49 AM

#

$phi = (1 + (1 + ...)^(1/2))^(1/2)

#

how do I do latex like that

crystal stream Feb 3, 2022, 12:50 AM

#

missed the other $

solar hound Feb 3, 2022, 12:50 AM

#

$phi = (1 + (1 + ...)^(1/2))^(1/2)$

fathom swallowBOT Feb 3, 2022, 12:50 AM

#

Corman

crystal stream Feb 3, 2022, 12:50 AM

#

I think you might need to use brackets

#

instead of parenthesis

solar hound Feb 3, 2022, 12:50 AM

#

$phi = [1 + [1 + ...]^[1/2]]^[1/2]$

fathom swallowBOT Feb 3, 2022, 12:50 AM

#

Corman

crystal stream Feb 3, 2022, 12:50 AM

#

$\phi = (1+(1+...)^{1/2})^{1/2}$

fathom swallowBOT Feb 3, 2022, 12:50 AM

#

random variable

solar hound Feb 3, 2022, 12:51 AM

#

oh

#

the main reason i like fractional powers

#

is because like

#

they show how

#

powers & roots are basically 1 operation

#

there arent 3 operations, there's 2

#

powers and logs

#

roots feel like a cheat-code

crystal stream Feb 3, 2022, 12:52 AM

#

everything is really just the exponential function

solar hound Feb 3, 2022, 12:52 AM

#

like their own operation

solar hound Feb 3, 2022, 12:52 AM

#

crystal stream everything is really just the exponential function

i dont think you can represent logs with an exponential

crystal stream Feb 3, 2022, 12:52 AM

#

$x^{1/2} = e^{\frac{\log(x)}{2}}$

fathom swallowBOT Feb 3, 2022, 12:52 AM

#

random variable

solar hound Feb 3, 2022, 12:54 AM

#

$x^frac{1}{2} = e^ln(x^frac{1}{2}) = e^(frac{1}{2} * ln(x)) = e ^ {frac(ln(x), 2)}$

fathom swallowBOT Feb 3, 2022, 12:54 AM

#

Corman

solar hound Feb 3, 2022, 12:54 AM

#

Bruh

#

$x^{frac{1}{2}} = e^{ln(x^{frac{1}{2}})} = e^{frac{1}{2} * ln(x)} = e ^ {frac{ln(x)}{2}}$

fathom swallowBOT Feb 3, 2022, 12:55 AM

#

Corman

solar hound Feb 3, 2022, 12:55 AM

#

@crystal stream howw

#

$x^{frac{\1}{2}} = e^{ln(x^{frac{1}{2}})} = e^{frac{1}{2} * ln(x)} = e ^ {frac{ln(x)}{2}}$

fathom swallowBOT Feb 3, 2022, 12:55 AM

#

Corman

$x^{frac{\1}{2}} = e^{ln(x^{frac{1}{2}})} = e^{frac{1}{2} * ln(x)} = e ^ {frac{ln(x)}{2}}$
```Compilation error:```! Undefined control sequence.
l.55 $x^{frac{\1
                }{2}} = e^{ln(x^{frac{1}{2}})} = e^{frac{1}{2} * ln(x)} = e ...
The control sequence at the end of the top line
of your error message was never \def'ed. If you have
misspelled it (e.g., `\hobx'), type `I' and the correct
spelling (e.g., `I\hbox'). Otherwise just continue,
and I'll forget about whatever was undefined.

Preview: Tightpage -1310720 -1310720 1310720 1310720
[1{/usr/local/texlive/2020/texmf-var/fonts/map/pdftex/updmap/pdftex.map}]```

solar hound Feb 3, 2022, 12:56 AM

#

thanks texit

#

#

about this site idea

#

any ideas

#

for properties of numbers i should add?

ancient flame Feb 3, 2022, 1:59 AM

#

solar hound i dont think you can represent logs with an exponential

the logarithm is the inverse function of the exponential

#

so if you let $e^x=\exp(x)$ then $\exp^{-1}(x)=\ln(x)$

fathom swallowBOT Feb 3, 2022, 1:59 AM

#

gmod's theorem

ancient flame Feb 3, 2022, 2:00 AM

#

with of course domain restrictions and whatnot but that's the idea

solar hound Feb 3, 2022, 2:01 AM

#

ancient flame the logarithm is the inverse function of the exponential

Thats what i mean

#

The logarithm IS the inverse to exponentials

#

Not roots/radicals

#

Roots dont deserve their own operation

ancient flame Feb 3, 2022, 2:01 AM

#

yeah

#

roots are just meant specifically to add confusion

#

for students

#

lol

static loom Feb 3, 2022, 2:03 AM

#

sotrue

solar hound Feb 3, 2022, 2:05 AM

#

ancient flame roots are just meant specifically to add confusion

Ye

#

Fractional powers are in most cases way nicer

#

And sometimes you have to convert roots to exponents anyways in calculus

ancient flame Feb 3, 2022, 2:11 AM

#

yeah

static loom Feb 3, 2022, 2:11 AM

#

while we're on the topic of replacing things, let's just get rid of sine and cosine along with all trig functions

#

they're just exponentials too

#

no need to waste notation on them either

mint patio Feb 3, 2022, 3:23 AM

#

Who needs exponentials when we have power series? @static loom

#

smugsmug

static loom Feb 3, 2022, 3:24 AM

#

true, why stop there let's just teach hypergeometric series day 1

mint patio Feb 3, 2022, 3:25 AM

#

Okay chill I haven’t learned that far 💀 what’s the hypergeometric series?

static loom Feb 3, 2022, 3:26 AM

#

gross

#

that's what they are, but they're nice in terms of being just basically pure data you can throw in and do computations on supercomputers with for modelling plasma, or so one of my friends who does that thing at the lab he works at tells me

mint patio Feb 3, 2022, 3:27 AM

#

what

static loom Feb 3, 2022, 3:28 AM

#

they're just big series

mint patio Feb 3, 2022, 3:28 AM

#

How much pure math do you have to take to have a strong enough basis for applied math like that?

#

If that question makes sense

static loom Feb 3, 2022, 3:28 AM

#

like none, it's more the realm of physics/numerical stuff

mint patio Feb 3, 2022, 3:28 AM

#

Fck

#

LOL

#

There’s like negative intersection between engineering and pure math 😭

static loom Feb 3, 2022, 3:29 AM

#

basically

#

closest intersection miss I can come up with is Archimedes' Principle and Non-Archimedean Principal Ideal Domain

#

almost sounds related

bronze pelican Feb 3, 2022, 3:36 AM

#

Hypergeometric series are relevant in number theory

static loom Feb 3, 2022, 3:41 AM

#

oh, how

static loom Feb 3, 2022, 3:58 AM

#

@bronze pelican

tribal dove Feb 3, 2022, 6:40 AM

#

x = x 🤯

mint patio Feb 3, 2022, 7:02 AM

#

That's cute

hollow sundial Feb 3, 2022, 7:26 AM

#

👀

leaden skiff Feb 3, 2022, 7:36 AM

#

mint patio That's cute

what video is this

mint patio Feb 3, 2022, 7:38 AM

#

https://www.youtube.com/watch?v=0n3cUPTKnl0

#

wait

#

no that's not it LMFAO

#

my bad I thought it was still the YT video open 💀

#

https://www.youtube.com/watch?v=EyBDtUtyshk&t=2s

YouTube

Mathemaniac

The intuition behind complex integration

Unlock new career opportunities and become data fluent today! Use my link https://bit.ly/MathemaniacDCJan22 and check out the first chapter of any DataCamp course for FREE!

I can't pronounce "parametrisation" lol

A crash course in complex analysis - basically everything leading up to the Residue theorem. This is a more intuitive explanation ...

▶ Play video

#

It's that one

#

I can't finish it tn though

#

But good so far

ripe wasp Feb 3, 2022, 7:54 AM

#

mint patio https://www.youtube.com/watch?v=0n3cUPTKnl0

bullet for my valentine more like my bloody valentine

mint patio Feb 3, 2022, 7:55 AM

#

ripe wasp bullet for my valentine more like my bloody valentine

I like MGK too

ripe wasp Feb 3, 2022, 7:56 AM

#

...?

#

i meant

#

the shoegaze band

leaden torrent Feb 3, 2022, 8:02 AM

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https://www.youtube.com/watch?v=hcqr68ocUxY

YouTube

nedzorz

Rural Alberta Advantage - Edmonton

Album - Hometowns

▶ Play video

mint patio Feb 3, 2022, 8:04 AM

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ripe wasp the shoegaze band

sorry

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LMFAO

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I’m too young 😭

ripe wasp Feb 3, 2022, 8:24 AM

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mint patio I’m too young 😭

haha it's fine im also young im just kind of a music nerd

ripe wasp Feb 3, 2022, 8:28 AM

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leaden torrent https://www.youtube.com/watch?v=hcqr68ocUxY

namington arent you a sufjan fan

stray kite Feb 3, 2022, 12:04 PM

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i feel like 3b1b's manim has become actually really popular and made math educational video making more accessible

pale orchid Feb 3, 2022, 12:12 PM

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i think 3b1b hasn't figured out who their target audience is though, i always take their content with a grain of salt because of this

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i found it hilarious that in many streams the dude would do a poll regarding people's level of familiarity with the topic and always would react surprised that people were already familiar with it and not starting from 0

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there's some fundamental disconnection between what he thinks the channel is vs what it actually is

tender tulip Feb 3, 2022, 12:13 PM

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that’s a problem with most math YouTubers

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I do enjoy his videos though visually

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oh and the crypto one which is phenomenal

pale orchid Feb 3, 2022, 12:14 PM

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some of them are good, for sure

tender tulip Feb 3, 2022, 12:14 PM

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His linear alg and Calc series are fantastic

pale orchid Feb 3, 2022, 12:14 PM

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i actually have a huge problem with the linalg one

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esp after getting people here who were confused because of those vids

tender tulip Feb 3, 2022, 12:15 PM

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It’s very isolated though with the Lin alg one (I only watched like 3 of them though)

pale orchid Feb 3, 2022, 12:15 PM

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stuff like animating linear transformations is pretty bad

tender tulip Feb 3, 2022, 12:16 PM

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His eigen-shit video did confuse the fuck out of me because I actually found out about them by accident and decided to look it up

surreal sapphire Feb 3, 2022, 12:16 PM

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speaking about math youtubers

tender tulip Feb 3, 2022, 12:16 PM

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They make more sense now, yeah

surreal sapphire Feb 3, 2022, 12:16 PM

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do you know edmund weitz edd

pale orchid Feb 3, 2022, 12:16 PM

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i don't :x

surreal sapphire Feb 3, 2022, 12:16 PM

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very sad

tender tulip Feb 3, 2022, 12:16 PM

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I pretty much just take a few concepts and just scribble and do a lot of algebra and shit with them to figure out what I can do with them

surreal sapphire Feb 3, 2022, 12:17 PM

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its a german professor of mathematics who makes very good videos

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sadly german only and only a few have english subtitles

worldly solar Feb 3, 2022, 12:17 PM

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I liked his 'music and measure theory' vid the best from what I've seen

tender tulip Feb 3, 2022, 12:17 PM

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I haven’t seen that one yet

worldly solar Feb 3, 2022, 12:17 PM

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The one where he covers the rationals on (0,1) with open intervals whose union can have arbitrarily small size

ancient flame Feb 3, 2022, 12:18 PM

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topology!

dire mulch Feb 3, 2022, 12:19 PM

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Has anyone seen the bright side of mathematics YouTube channel? It very nice.

ancient flame Feb 3, 2022, 12:19 PM

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pale orchid i think 3b1b hasn't figured out who their target audience is though, i always ta...

I agree, his videos are kinda all over the place

tender tulip Feb 3, 2022, 12:20 PM

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modern mathematicians screaming when they see an actual number

ancient flame Feb 3, 2022, 12:20 PM

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what are numbers

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we only deal with letters

tender tulip Feb 3, 2022, 12:20 PM

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ancient flame what are numbers

Idk but do you know about the letter four

ancient flame Feb 3, 2022, 12:20 PM

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and half of the time they're greek

dire mulch Feb 3, 2022, 12:20 PM

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Do you actually need to figure your audience when making a math video?

tender tulip Feb 3, 2022, 12:20 PM

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dire mulch Do you actually need to figure your audience when making a math video?

lol no

ancient flame Feb 3, 2022, 12:20 PM

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not really but it will help

pale orchid Feb 3, 2022, 12:21 PM

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you need to do some sort of "market design" if you want the videos to reach a large audience

surreal sapphire Feb 3, 2022, 12:21 PM

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you have an audience in mind when you make math content

ancient flame Feb 3, 2022, 12:21 PM

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you know who to target your content to

ancient flame Feb 3, 2022, 12:21 PM

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pale orchid you need to do some sort of "market design" if you want the videos to reach a la...

^^^

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this way you know what knowledge level your audience will be and adjust the content based on that

tender tulip Feb 3, 2022, 12:22 PM

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Shit like modular forms are rather intuitive when you think about it from a sorta linear algebra perspective

ancient flame Feb 3, 2022, 12:22 PM

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like any business doesn't NEED to do market research but it will massively help them succeed if they do

tender tulip Feb 3, 2022, 12:22 PM

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But the usage of them doesn’t make sense

dire mulch Feb 3, 2022, 12:22 PM

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ah I see thanks for clarifying.

pale orchid Feb 3, 2022, 12:24 PM

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you can see it two ways

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if you have an established audience, then you want to cater to their needs, level, etc so that you keep them engaged and make useful content

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if you don't yet have an established audience or wish to change/increase it, then you need to design your content accordingly so that it attracts the people you're aiming for

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if you don't do this, the steady audience will see it as "this content is all over the place", and new viewers will run into a random video out of context and think the content is for them when it actually isn't, resulting in an unsteady chunk of viewers

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it's the same as why tv shows get cancelled for not keeping up to date with the current cultural trends

dire mulch Feb 3, 2022, 12:31 PM

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Thanks that makes a lot more sense. Also I can see it, the YouTube channels I tend to watch for math often are the ones whose contents match with the current books I am reading to the point each video corresponds to a section/chapter.

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Does channels usually have playlist for each course.

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Organized is the word I am looking for.

worldly solar Feb 3, 2022, 12:35 PM

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Mathologer is pretty good

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I think the level of his videos is consistent

pale orchid Feb 3, 2022, 12:35 PM

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i think so as well

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i do find them a little boring but that's just personal taste

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3b1b borrows too much from the future to be self contained

bronze pelican Feb 3, 2022, 12:36 PM

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static loom oh, how

https://youtu.be/clBXFeQiwtE

YouTube

Alvaro Lozano-Robledo

Ling Long - Hypergeometric Functions, Character Sums and Applicatio...

Title: Hypergeometric Functions, Character Sums and Applications
Speaker: Prof. Ling Long, Louisiana State University
Abstract: Hypergeometric functions form a class of special functions satisfying a lot of symmetries. They are closely related to the arithmetic of one-parameter families of algebraic varieties, such as the Legendre curves. p-adic...

▶ Play video

pale orchid Feb 3, 2022, 12:36 PM

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it's usually "we already know this result, here's another way of interpreting it/arriving at it"

dawn bridge Feb 3, 2022, 1:21 PM

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school is trash

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why cant i just like do actual maths?

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this is garbage

surreal sapphire Feb 3, 2022, 1:25 PM

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it looks like a good exercise to me

dawn bridge Feb 3, 2022, 1:25 PM

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this isnt an exercise

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this is worth 50% of my grade for a whole course

surreal sapphire Feb 3, 2022, 1:26 PM

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a project is an exercise to me

dawn bridge Feb 3, 2022, 1:26 PM

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aaaaaaaa

neat lintel Feb 3, 2022, 1:26 PM

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dawn bridge this is worth 50% of my grade for a whole course

wow then you better make sure that you pass

surreal sapphire Feb 3, 2022, 1:26 PM

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i mean its not really math, but 🤷

neat lintel Feb 3, 2022, 1:27 PM

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oh well

dawn bridge Feb 3, 2022, 1:28 PM

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the thing is this is group project

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im gonna get stuck doing someone else's idea

surreal sapphire Feb 3, 2022, 1:28 PM

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group projects in school are kinda bleak

solar hound Feb 3, 2022, 1:30 PM

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90% of the time school projects are just

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they're just solo projects, but they're making you do them in a group

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from my limited experience at least

toxic schooner Feb 3, 2022, 1:32 PM

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dawn bridge im gonna get stuck doing someone else's idea

bleak

fringe otter Feb 3, 2022, 1:37 PM

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anyone here studying Pearson A-level at uni level? Need answers about entrance exams

dawn bridge Feb 3, 2022, 1:38 PM

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fringe otter anyone here studying Pearson A-level at uni level? Need answers about entrance e...

wdym? isnt a level pre-uni?

fringe otter Feb 3, 2022, 1:38 PM

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can we take this to dms?

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if you dont mind

dawn bridge Feb 3, 2022, 1:38 PM

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why not just ask here

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maybe i cant help u

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and someone else can

fringe otter Feb 3, 2022, 1:39 PM

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basically I have a friend who just migrated overseas

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his mom assigned him to take A-levels

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both of us are clueless about this so that's why Im asking

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anyway, he's about to take an entrance exam

dawn bridge Feb 3, 2022, 1:40 PM

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wdym at uni level though?

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so he migrated i guess to the uk

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entrance exam for what specifically

fringe otter Feb 3, 2022, 1:41 PM

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fringe otter anyway, he's about to take an entrance exam

and I wanna know how much of the entrance exams will affect his placement or the options he'll get

dawn bridge Feb 3, 2022, 1:42 PM

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what entrance exams are u even referring to

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MAT? STEP? TMUA?

fringe otter Feb 3, 2022, 1:42 PM

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dawn bridge entrance exam for what specifically

Malvern College, Egypt

dawn bridge Feb 3, 2022, 1:42 PM

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and for what courses

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i have no clue but if they set u an entrance exam they probably expect u to do reasonably well 👀

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what does this have to do with a level?

fringe otter Feb 3, 2022, 1:44 PM

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sorry but I need to research a little bit to answer your questions

fringe otter Feb 3, 2022, 1:44 PM

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dawn bridge what does this have to do with a level?

he said that the entrance exams is for him to study A-levels stuff

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Pearson A-levels