#study-discussion

1 messages · Page 10 of 1

shell glade
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it was a pediatric ward

long hedge
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lang in sophomore?

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are you doing a phd in mit now

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or smth

shell glade
long hedge
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save the money

shell glade
devout sun
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ic

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glad the math helped you

long hedge
shell glade
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remember tao’s advice

long hedge
lapis sluice
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terence tao is a rather famous mathematician

devout sun
long hedge
devout sun
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bro has been living under a rock

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or is trolling

lapis sluice
#

i don't know who you are

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if i had to guess i would guess he is better than you

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but i don't have to guess so i won't

long hedge
limpid hamlet
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Trolling? Impossible

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How else could you go outside in the daylight and remain unstoned?

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Alternatively, you have no problem being stoned all day

long hedge
limpid hamlet
#

that's clever

long hedge
limpid hamlet
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would you prefer to be stoned?

long hedge
heavy needle
long hedge
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my country has one of the weakest math educations in europe and on avg after 2.5 years people have often seen complex, top, measure, abstract alg, diff geo and more

heavy needle
long hedge
heavy needle
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Calc 1, Calc 2, Calc 3, LA

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Plus like, stats I think

heavy needle
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3 at best

long hedge
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at end of 4 sems here we're taking advanced measure theory

heavy needle
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Then don't forget you have to take 2 foreign languages and 2 gym classes

long hedge
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i'd be so behind in math

main trail
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he's only on campus for 2 days a week, and packed on those days

steep grove
#

I hate British winters where it's only bright out 8am - 3pm

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Do u have extra long summers then? Like 2am to 10pm daylight?

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People here would kill for 60s and 70s

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That's a grade A or B

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He came to my school once

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Very good teacher

devout sun
scenic shuttle
steep grove
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not even in uni

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hs too

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they've recently been making the papers easier tho 😭 so the boundaries are getting higher

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in a level maths 2019, boundaries were like 56 for an A

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now its like 74 for an A

scenic shuttle
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lmao

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ngl i was suffering to get these grades in hs 😭

royal basin
long hedge
long hedge
viral osprey
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You're not going to just magically stop getting stuck on questions from time to time though. It happens to everybody.

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A lot of the time you just sit fooling around with problems and ideas, doing calculations, looking through books and websites etc until you find something that helps you make progress or you give up.

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Solving hard problems can take a lot of time and effort.

main trail
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These are assignment problems

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so graded , and no help allowed

green terrace
# main trail so graded , and no help allowed

The intention of those is that you attempt the problem at-least somewhat on your own, in most cases your uni isn't going to like...dismiss you because you asked for help on some particularly tricky algebra or analysis problem

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They will dismiss you if you cheat in many cases, but asking for help and then acknowledging it isn't cheating

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Especially if you ask a TA or a professor

main trail
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This course has no TA

main trail
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@green terrace

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well, wrong ref

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one min

viral osprey
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Surely you are allowed to sit and think about problems.

main trail
viral osprey
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Not sure what they expect you to do then.

main trail
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Crack it ourselves I guess

viral osprey
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If this is the case the instructor and/or the admin folks are the people you should talk to.

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What I'm describing IS how you solve a problem.

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You try some shit, if it works you're done. If not you review whatever resources and tools are available and try again.

viral osprey
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Yeah I figured you do.

main trail
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I am getting better at this tbf

viral osprey
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If it's not enough, then you need to reach out to other people. In this case if using other sources is not allowed, then you need to go thru your instructor.

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It gets easier as time goes on.

main trail
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a lot of times, the answer was in front me , I just didn't see it[ Was overcomplicating it]

viral osprey
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Yeah, that's normal.

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Fwiw, there's only so much they can really say/do.

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Like, if you teach yourself some analysis shit like mvt, they can't force you to unlearn it.

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Say you do this before the course starts

main trail
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That does make sense, yes

viral osprey
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Have you cheated by knowing the proof of mvt because you decided to learn it in advance? Absolutely not.

main trail
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Yea, I get what you mean

viral osprey
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Now, getting an assignment and immediately hopping online and googling all the answers is not gucci provided they explicitly disallow it (and even if they don't you shouldn't do this).

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I really do think you should talk to your prof or somebody at your school regardless of how busy you think they are about this.

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The intent behind these policies is probably to force you to actually take the time to struggle and learn the material. Probably not to just fail you.

main trail
viral osprey
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I'm contacting your school as we speak. Prepare for the incoming expulsion.

main trail
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They'll discuss the answer , is what he said.

viral osprey
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(Jk)

viral osprey
main trail
viral osprey
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The goal of your homework is surely not to show you problems you won't be able to solve lol.

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Ah yeah, that's fair.

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Well, then show a serious attempt and if you get stuck be annoying as fuck for those sweet hinty bois

main trail
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I mean I am starting to appreciate it. And he has been doing this for 30 years , so he knows what he's doing I suppose.[ And that's just for teaching RA]

viral osprey
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Yeah, he's not totally wrong about trying to force people to really try the problems.

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Sitting around being stuck and confused is kind of a natural part of doing math in general.

torn olive
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I pray every day that my students cheat like this (by learning the material)

main trail
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That is true. IT's just a shock to the system

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BUT, it does make discovering the solutions to a lot of problems so europhic

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Not in the same way

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the intellectual reward is so sweet

long hedge
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Sweet and sour potato the dsa goat

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Data structures and algorithm

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R usully

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Bro needs to be a centrist

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Nah wait centrists are both hated and the most liked

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Arent people who identify as independent/moderate more likely to vote left

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In recent election i think indeps were like 2x as likely to vote against trump

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But ik exactly ur political views now

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Ohhhh

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Yea

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I was talking about politicssully

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Of course i do, thats who id vote for

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Dw itll only happen if they disagree with the political takes

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Why did u joke about that

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I thought u were in ur 20s

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Did u start uni early or smth?

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You seem like you have always been here

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Aint no way we are same year

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I guess u preferred this to ee or cs server

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U seem like a cs person

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Dw regardless of what u do, ull be unemployed

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We will all be

red bough
rocky terrace
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of middle school

red bough
sour mirage
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Said we sure be at first

red bough
glacial raven
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anyone else using anki for scheduling review of problems

long hedge
glacial raven
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interesting can you give an example of what you are doing

long hedge
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e.g if i have a theorem "in a pid ring, all submodules of free modules are free"
My card will be "What do we know about submodules of free modules in PID Rings?"
And the other side will just be statement and proof

glacial raven
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ok that makes sense

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is there a reason why you dont schedule problems?

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that is a problem in some sense

long hedge
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i mean i just do the problems straight away

glacial raven
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do you only study things relevant to courses you are taking? Last time i setup anki i started going overboard

long hedge
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you go overboard do a lot of extra stuff

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get wrecked in the exam

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you learn and start focusing on what's relevant

glacial raven
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its amazing. read 3 pages from spivak a day and make anki cards and in a year you will have the whole book done

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might be better to put aside n minutes every day

neon parrot
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@scenic shuttle this is my main

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Now mention this id in that channel

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I'm unable to fine that channel

scenic shuttle
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yeah u have the studying role

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remove it

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and yea idk u tbh

neon parrot
neon parrot
scenic shuttle
scenic shuttle
neon parrot
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iamnot dying

scenic shuttle
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dont forget the comma

neon parrot
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,iamnot dying

mossy shadowBOT
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Removed the studying! role from you.

scenic shuttle
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there u go

safe harbor
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We are all dying

neon parrot
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Haaaaaaaaaaaaaa

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Finally

scenic shuttle
glacial raven
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albrt camus

steep grove
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Me when I cheat on the exam by memorising the answers before the test

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My teachers haven't caught me out yet

glacial raven
steep grove
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basically what I do

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works pretty well

latent yoke
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Hey i need a suggestion, i did matrices and determinants a while ago
and i was just practicing questions of calculus , encountered a few questions where the propoerties of them would have been helpfull
realised i have forgoten some, like how to use properties

im not sure if i should restart with studying it from start
i did one mistake of not making my own notes of matrices that time ......

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restarting would be kinda time consuming and i was trying to increase efficiency of my work due to time limitations

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any input is helpfull! thanks in advance!!!

long hedge
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What happens when bro doesnt use anki

latent yoke
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(reffering to very basic properties and tricks )
(forgetting them also tells me i never familiarized myself with the same, so maybe i should spend time to relearn the same )

stray notch
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What’s the best way to study pre algebra, algebra 1 and algebra 2

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I’m in class 10 in Germany as of now I’d be willing to use anything if it’s good from youtube Videos to books to whatever really

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I found this and I’m not sure if it’s considered good for auch a thing

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But its extensive

scenic shuttle
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the video u sent seems a lot but i feel like its good

long hedge
scenic shuttle
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no idea

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that was a thing back then?

long hedge
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Im a proud alumni

scenic shuttle
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icic

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i never knew khan academy until like early 2023 loll

long hedge
scenic shuttle
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fr

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i used paul's notes for calc

long hedge
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If im unemployed aftr college ill create a better version for both calc and lin alg

scenic shuttle
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i have created a math reference before

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i just worked with someone

long hedge
long hedge
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Then i will retire

scenic shuttle
devout sun
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cant have 1/3 of them not knowing basic math

outer rapids
outer rapids
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cool

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you sounded like you genuinely didnt know

safe harbor
raw axle
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Does anybody have any tips for stay focused while studying math? When doing problems I feel like I’m locked in, but when I’m learning new material and not actively engaging my brain and solving a problem I just don’t focus very well or get distracted easily. Anybody else have this experience?

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I guess what I’m trying to ask is how to maximize the effort I put into studying

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Like if I do math for an hour maybe only 30-40 minutes of that hour was actually spent doing something useful/being 100% focused

slim aurora
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try pomodoro

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for me i think of it like a reward

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focus for an hour get a 10 minute break

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you can do different times thats just an example

old juniper
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Hello, I started learning circuit theory/semiconductor engineering/signals and systems. Up to last semester, I could handle the formulas in the book. At some point I'm lost- circuit theory book explains the RL/RC circuit response, which my professor said through separation of variables. I had no idea, so as a last resort I memorized how to solve specific form of a differential equation.
I understand how calculus is critical to explain physical phenomena. Engineering Mathematics course wasn't available to my departments. Internet recommended me the book 'Advanced Engineering Mathematics' for self-study. I am frightened a little, because I feel it's a late start(3rd year, 2nd sem.). What can I do?

outer rapids
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Just accept that it is what it is and move on

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That’s how engineering goes

old juniper
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Such as, initially energy is stored in the inductor and the capacitoror- at some point the circuit is free of dependent sources, L and C make the current flow through R- the energy is dissipitated?

outer rapids
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I’ll need more context to understand what you’re trying to say

old juniper
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From Fundamentals of Electric circuits, source-free RLC circuit response chapter.

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At some time t=0 the power source is disconnected from the circuit, and the problem is how to find the decaying response. The book explains the formula through calculus. How should I read this book?

outer rapids
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Right, and so the thing to understand about RLC circuits under DC is that they always just decay exponentially to their steady state

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And that’s all you need to know

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What are you confused about?

wispy zephyr
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have you taken an ODE class yet? usually you learn the methods used for solving second order linear differential equations like these there

limpid hamlet
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imo learn the math from a math book

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people do much worse not learning e.g. intro diffyq

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or in other cases linear algemra

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christ the physics majors here don't need to take a linear algebra class and so only get little bits from other classes and most are rather bad at it

limpid hamlet
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i know right!

old juniper
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I have Howard Anton's Linear Algebra and Dennis G. Zill's Advanced Engineering Mathematics. Are these books good for self-study?

limpid hamlet
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Some people like Axler I hear

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though I have heard problems arising from not knowing what a determinant is

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I originally learned linear algebra from the 0th chapter of a quantum mechanics book (Shankar's Principles of Quantum Mechanics)

obsidian wigeon
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the latest edition of axler fixed determinants

wispy zephyr
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axler is good but as like a second course after doing a more computational first one

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because he won't teach you how to calculate anything

limpid hamlet
obsidian wigeon
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yea he explicitly says in the intro, this is for a second course
and he means it haha

limpid hamlet
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What do you think is a good set of basic books for people? Like calculus, linear algebra, differential equations?

obsidian wigeon
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FIS is a good math-oriented LA book that starts from the beginning and has a decent mix of computation and theory

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would be my generic recommendation

limpid hamlet
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yeah looking just at dami's recc list it looks like that would be what I'd recc poople.

wispy zephyr
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for non-math types i think a good computation-focused book for la is anton. i've also seen people recommend strang but i personally don't like the writing style

limpid hamlet
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and you know, one day i want to have a child, and there's a fair chance said child will care about math

wispy zephyr
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as far as calc books go all the big ones have essentially the same structure. i recommend the early transcendentals versions (the 'normal' versions put transcendental functions super late for some reason). my personal leaning is toward thomas but that's probably because i used it

old juniper
wispy zephyr
#

like thomas' calculus?

old juniper
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Can you tell me the early transcendal versions

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what's the book name?

wispy zephyr
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they are titled [book title]: Early Transcendentals generally

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for example

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these books both teach the same content, just in a different order

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i personally think the order is better in the second one

old juniper
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thank you

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should I buy the newest edition?

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Newer versions are by Pearson and others are Addison. Are there big differences?

wispy zephyr
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the changes between editions aren't huge, so i wouldn't worry too much about which edition you get

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if the prices are the same i would get newer though

old juniper
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thank you so much

obsidian wigeon
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that said, if you're buying a physical copy, they get way cheaper if you go back a few editions, and the content isn't noticeably different

oblique iris
#

e

storm tide
rocky terrace
#

@brittle falcon

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trust

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🗿

brittle falcon
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🗿

rocky terrace
#

read this

storm tide
rocky terrace
rocky terrace
#

Jarvis list all the real world applications of model theory

safe harbor
#

I have a book on applications of model theory

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I think it's like 50 years old

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It references Shelah-Keisler as a new result

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Anyway I don't think any new applications have been found

long hedge
safe harbor
#

...how old do you think I am?

long hedge
#

Do u want it in scientific notation

safe harbor
#

Bruh

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How old are you? 12?

long hedge
#

young enough to be your grandchild

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so at least 18

safe harbor
#

I'm 20 sadness

scenic shuttle
#

so young

long hedge
#

no way you are 1 year older than me

steep grove
#

Imagine being 50 with the name poopoopeepeepants

quiet summit
#

Imagine being 67bleak
-# (ik it’s cringe)

edgy sierra
#

six seven

quiet summit
#

ok choco pi

steep grove
quiet summit
#

wat songmonkey

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nvmopencry

steep grove
#

Thanking God for not making me a brainrot 67 kid

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67 is such a bad meme

rocky terrace
#

69420 800815 🗣️ 🔥 🔥 🔥

long hedge
devout sun
#

nG transformation

obsidian wigeon
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"effecting"

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the irony

raven kindle
#

"effecting" also happens to be a verb but not the correct one here

obsidian wigeon
#

indeed

quick elk
#

what did you expect from a teacher who makes posters to 6 7 brainrot kidscatshrug

warm saffron
#

@coral sleet

coral sleet
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I just do a ton of problems and hope for the best

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I'm really not great at coming up with new approaches with exam pressure on me giggle

warm saffron
#

got it

raven kindle
#

Slightly

steep grove
#

be glad i dont teach

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yes

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at that point, i wouldn't sleep

steep grove
tropic void
#

By doing them yourself they’ll get uncooler by association

steep grove
#

can we create mathematical chambers for anyone who says 67 as a meme

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they get put in there and are forced to do a lot of mathematical problems

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they'll only be let out once they solve the riemann hypothesis or another unsolved problem

lapis sluice
steep grove
#

Infinitely many

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To make them a mathematical genius

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We could also hold a competition from time to time to have them annihilate each other and promise the survivor to be let out

lapis sluice
steep grove
#

no

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that's not good

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you can go to the mathematical chamber

lapis sluice
#

its like grothendieck's prime

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except its also a real prime

steep grove
#

23 * 3

lapis sluice
#

Yes

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but a number in that vicinity

steep grove
lapis sluice
#

close to it but not quite

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one of these are prime

steep grove
#

ik because 3 and 23 are prime numbers

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so u cant reduce them further

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obviously 1 and 67 too

lapis sluice
steep grove
#

no

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67 is a number

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it made sense in the mathematical context

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stop being werid

lapis sluice
#

six sevennn

steep grove
#

67 is not funny

modest osprey
#

hey!

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so..

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I am a high-schooler, into AI, coding, and lots of stuff

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I have a very good intuition and I think a good basis but I suck at anything methodical

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I feel like I can longer study methodically like I used to do in the past.. probably because I am so theoretically-focused and a bit obsessive when I do that in general

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and I need to fix that

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how do I do it?

scenic shuttle
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LOL

grand berry
#

hi guys i'd like to ask something to yall

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im in college and i need to learn limits integrals and derivatives but idk where to start and where to learn them. there are multiple places and i found one and took some notes on derivatives but as soon as i switch the source i see that my notes are not related to the "derivatives" theyre talking abt 🥲

modest osprey
#

I get it since it's getting trendy now.. but I actually got into it.. also "into AI" doesn't necessarily mean "expert at AI" but without boasting I think I've good foundations and I've been coding for a decent time

rocky terrace
#

We have prismatic cohomology

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Sweet and Sour Cohomology when?

steep grove
#

It's good and I'm not american

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I'm glad my size could make you laugh

limpid hamlet
# grand berry im in college and i need to learn limits integrals and derivatives but idk where...

Some common derivative formulas explained with geometric intuition.
This video was sponsored by Brilliant: https://brilliant.org/3b1b
Help fund future projects: https://www.patreon.com/3blue1brown
An equally valuable form of support is to share the videos.
Special thanks to these supporters: http://3b1b.co/lessons/derivatives-power-rule#thanks

...

▶ Play video
#

that's most of calculus

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next is defining ln(a) as area under the curve of 1/x from 1 to a, and then using the fact that squeeze transformations (expand one axis by a factor and shrink the other axis by the same factor) don't change the hyperbola y=1/x and also preserve areas. so area under curve from a to ab is the area under curve from 1 to b, so ln(ab) = 1 to ab is 1 to a + a to ab = 1 to a + 1 to b = ln(a) + ln(b)

steep grove
#

Hello

steep grove
#

No

steep grove
# steep grove Hello

I'm someone planning to apply to university in this cycle (UK) to start a "BSc Mathematics and Computer Science" course later in 2026. I've already finished A levels so I'm in a gap year. What kind of stuff could I do to boost my personal statement to maximise my chances of securing a good place at a good university?

steep grove
#

by december btw

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i gotta send in my application by december

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my a levels are fine

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i dont need to take admissions exams but even if i did them

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would they even see it

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im eligible for contextual offers

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cuz of my postcode

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no

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A*AB

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bro i was so close to another A

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i was 3 marks off

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no unis like

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durham bristol etc.

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im on contextual offers

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so they ask for like A*AB AAB

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without admissions exams

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but i want to try get a scholarship too

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with a banger ps

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expensive and i dont see much point

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i was thinking of supercurricular activities

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why would i want 3A* after a resit

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its just not the same

deft cove
#

any ways to help me improve my focus? i just get distracted so easily blobcry

steep grove
#

😭

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if i resat, ik id get 3A*

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and academics dont mean everything

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passion is also important

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so i want to portray that in my ps by doing supercurricular and stuff

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ngl i was thinking of maybe doing step for fun

sly badger
#

hello guys, i have differential calculus this semester. I need good online video playlist. any suggestions would help a lot.

rocky terrace
#

Khan academy

#

and 3Blue1Brown

lavish breach
#

My problem:
Havent learned any proof based math and have no clue where to start + never used a math text book since 8th grade.

My current situation: learned calc 1 last year from the course video on freecodecamp (+practice problems and other videos when needed). Mostly the same for calc 2 rn but using khan academy instead. I’m only in algebra 2 in school (very ahead of my age in math and school refuses to really help me go farther) and don’t have amazing reading comprehension skills. I fear I’m a bit unprepared for rigorous math and I wanna take atleast volume one of apostols calculus after I learn calc 3 through some video resource. I want to learn how to better comprehend text book math and proof based math so I can’t fall on my face the second I go to apostol’s calculus.

Any tips for how I could ease myself into more text book math + proof based self study without getting extremely overwhelmed or bored and losing motivation?

#

Oh if I want to learn calc 3, linear alg, ODE, and Apostol’s calc vol 1, what’s a good order

devout sun
#

@lavish breach idk anything about apostol calculus, but often ppl do some sorta basic intro to proofs, eg elementary number theory is common to do. but its not necessary, since most analysis books will have the introductory material you need
imo, you should get used to the process of just reading a book, videos become more scarce for upper lvl math subjects
to do this, you'll have to sit and actively engage with the book, its usually not smth you can just casually read. there are things you'll have to write out on a separate piece of paper to understand, and you might want to take notes of the key details. often, you want to later think about strategies done in the book (for eg in some calculation or proof) and replicate them on your own. pace yourself, you might sometimes need an hour to go through 2-5 pages. a loose schedule based on section numbers might be helpful

i'd rec doing multivariable calculus with linear algebra, then ODE, that'll cover all the "calculus base" you need. then you can do proof based math, like proof based linear algebra and analysis, as well as abstract algebra if you want
abbott's analysis is a good book, jay cummings' real analysis book also looks good for beginners, they go through the necessary "beginner proofs" at the start and explain things well for a first course in proof based calculus

lavish breach
# devout sun <@756311196839182336> idk anything about apostol calculus, but often ppl do som...

Tysm dude that’s actually so helpful.
The elementary number theory idea sounds like a really good idea so I’ll probably try that first. I think after all the math classes I listed I’ll probably wait for real pure maths till college. Trying to major in physics so I’ll probably switch to learning that for a bit since I don’t fully trust myself to learn pure maths. I’ve heard Apostol’s calculus is sorta in between real analysis and basic calculus so that why I mentioned that btw.

#

Genuinely screenshotting that message tho, thanks so much again

glacial raven
#

Guys i skip classes to study in my home, how should i proced now?

devout sun
glacial raven
#

Yeah but, how i study?

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Let me explain to you my situation

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The exams in my country are questions where do you need to justify the answer, so, i cant find past papers where can i practice so i cant do active recall or these techniques that youtubers recommend

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See?

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Also i skip classes too

lavish breach
#

Probably will just go straight to analysis I guess to not waste time but definitely waiting on that for a bit then

royal basin
glacial raven
#

It frustates me

raven kindle
#

Why are you taking them

royal basin
#

what is this class about?

glacial raven
glacial raven
royal basin
#

i mean what topic in math for example

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so like what does the math class cover/go over

raven kindle
#

You still are taking the class even if you skip lectures, you have to do the assignments and exams right?

steep grove
#

Try using them

#

It's basically the same thing as active recall

#

U make questions and give answers to them

#

It's just less efficient to make your own so that's why I don't use them

limpid hamlet
#

Used something with spaced repition. If that has that then hooray.

#

If I were you I would use Anki. I've never gotten into the habit of flashcards but the software is what I'm want for such a thing

#

It's free (as in freedom iirc)

#

the software is free. distributing on the app store costs the developer money, and thus is the probable cause of the cost

#

you can just try a computer

#

or, perhaps you can sideload it?

#

ah, anki web on a browser

limpid hamlet
#

Ah

“Why is the Android version free?”

The Android version is developed by a different group of people, who based it off the computer version I wrote. Because they have day jobs and can only work on it in their free time, AnkiMobile is better supported: no questions or bug reports go unanswered, the app is more polished, and most bugs get fixed quickly.

timber blade
limpid hamlet
#

I have just establisted that "they" are not even the same group.

#

Like come on, read.

#

Unless you just mean, they would not have charged had they believed the users were similar

#

in which case, carry on

#

okay then, sorry for insulting you

glacial raven
pseudo cedar
limpid hamlet
#

this was indeed a case where it was bad of me

#

I would like to say, because many people in fact literally just don't read

#

They weren't like that, though, and I mean this is such a stereotypical excuse

rancid sinew
#

what does undergraduate math mean?

#

do you study in a specific sphere in math at uni?

wispy zephyr
#

it's math which is advanced enough that it generally isn't taught in high school or below, but not so advanced as to be only taught in grad school

#

there is considerable overlap at the boundaries on both ends, of course

dire lava
#

guys i need help. my professor isnt the best at teaching and that can hinder my note taking. she basically just writes the problem on the board and follows up with steps, the process, etc. basically just having us copy what she is doing. she also goes a little fast is there a way i can capitalize off this im tryna lock in

glacial raven
#

Im so dumb man

#

I cant ubdrrstand anything

#

I should be dead

#

I cannot complete my classes

#

So i will never learn anything

#

Im so dumbbbbbb

heady timber
#

don’t say that bro

#

u can learn it just need to spend time to understand and practice

heady timber
glacial raven
heady timber
#

idk what typa problems ur facing but generally just doing problems esp ones u find very difficult can help

#

the more u do it, even if u solve wrong, the better understanding u get

glacial raven
#

I just wait for my exams to go wrong and have 0.0

#

And its all my fault

#

I can swe my future

#

Im gonns be a vagabond

thick ermine
# rancid sinew what does undergraduate math mean?

to add to what cloud said, it's a very fuzzy term
all the advanced mathematics channels are accessible with the undergraduate mathematics role because literally any mathematics could show up as part of an undergraduate degree depending on the university

swift acorn
#

hey guys, I am trying to learn about counting, like permutation, combinatorics and so on... it's hard... very hard... how do I learn it? How do I know if I am getting better?

rancid sinew
swift acorn
#

it was just examples of what might be in it

#

the real problem

#

is the problems

#

each case is a case

#

I miss possibilities

#

and even though I've been studying it for days

#

I still can't understand it

swift acorn
#

oh no, I know how to think of them, a combination is, grabbing a group of 5, and saying, how many subgroups of 2 we can do

#

a permutation

#

like that one with the A and so on, I know that two

#

I know that

#

I know theory

#

but it just gets though for each problem

#

(sorry to interrupt)

#

of a problem that I have a though time with?

#

sure

#

though this is not the help channel

#

just if any mods see this,

#

it's an example

#

"A group of 6 friends, in which 2 sisters do part in Margarida and Mariana, decided to go on a walk. After some time, the found 6 free chairs and decided to sit. The chairs are places in a row, and are fixed to the floor. In how many ways can the two friends occupy the chairs, guaranteeing that Mariana and Margarida stay seperated" -- now before you answer, let me show you my reasoning for solving the problem

#

There is a group of 6

#

That group of 6 can be subdivided into a group of 2, the sisters, and 4, the 4 other friendsz

#

So,

#

I thought

#

though not fully understanding the logic, the number of possibilities where they are together is $2! \times 4! = 672$ and then I thought: 6! is if there are no rules, so $6! - 2! \times 4!$, which is wrong

mossy shadowBOT
#

ℕ∈ℝD ALERT: Gonçalo Gonçalves

swift acorn
#

That is it

#

you see the problem_

#

Yeah

#

I saw it on an example, it's maybe incorrect, but you see the problem

#

I hope right @long hedge

#

?

#

oh

#

that

#

well idk gone on ther but I did that at 7am

#

480

#

kkkkk

#

oh, that a good way to think of it, how do you develop that kind of understanding?

#

oh btw

#

I need to go

#

I have a family dinner, just answer that

#

I gotta go

#

I'm sorry, but I will probably only see it 30 min from now

#

just saying

#

that makes sense

#

I back

#

@long hedge

#

anyways

#

literally everyone on this community can solve counting questions

#

and quick too

#

how?!??

#

I sometimes take 3 days to get a right answer

#

oh

#

!nochatgpt

#

!nogpt

wide cryptBOT
#

Please do not trust ChatGPT or similar AI tools for mathematical tasks, as they often generate output which "sounds correct" but has numerous factual or logical errors. Use of these AI tools to answer other people's help questions is strictly against server rules (see #rules).

swift acorn
#

ok

#

no

#

it is corect

#

why dont you use Walkfram Alpha or somethin like that then?

#

walfram alpha

#

I think that was the name

#

!bots

#

nop nada

#

welp tried

#

anyways, back to the original question, I can't have trial and error methods on the exam

#

so how do I develop this

#

ok fine let's drop that

#

I will keep that in mind thanks

swift acorn
#

wait, why 5 factorial, if BA occupies to places shouldn't it be 4 factorial

#

oh sorry, 6 chair, forget it

devout sun
swift acorn
#

and wdym with recursively?

devout sun
#

The

swift acorn
devout sun
#

Bc you have a subset of events

#

And you just consider the opposite

#

And count the opposite

#

Subtract from the total

#

They can either be together or not together

swift acorn
#

makese sense

#

yeahh?

#

(I'll give you time to write it out)

#

I like long stories anywho

devout sun
#

Aren't you taking probability rn 😭

#

Well you usually consider an events as sets I think, like the event of getting h heads from n flips

swift acorn
#

atcho time

long hedge
# swift acorn atcho time

basically you have 6 seats
and you have the pair AB
Let's consider the case where A is on either edge
then there are 2 edges
and B can go 4 different places so we have
and then we have case where B is on the edge
A can go 3 different places since if it goes to an edge we have already counted it so we have
2*4*4!
2*\3*4!
Now remove those 2 edges (when considering A or B)
and look at the 2 new edges
A can go 2 different edges
and then B can go to 2 different places
Now consider last case where B is on an edge but A isn't
2 cases only (when B is on either edge)
so we have (2+6+8+4)*4! = 480

#

bro has homeworks in the big 25

scenic shuttle
long hedge
scenic shuttle
#

no it sucks

long hedge
#

for math homework ?

#

what math you doing

scenic shuttle
scenic shuttle
long hedge
#

very advanced

#

respect

scenic shuttle
#

real 🤝

#

btw gpt cant help w digital systems stuff 💔

long hedge
#

if you learn it

scenic shuttle
#

yep i know

#

also uh my prof is so bad

long hedge
#

that is awful legit

#

and that point i just drop the class

#

if the class is very important i'd go on exchange and take it there

scenic shuttle
#

i cant change prof bc they only got him to teach this course

#

every week its getting worse ded

long hedge
#

do exchange at another uni

#

and take the course there

scenic shuttle
#

too much money

#

my goal is just pass the course tbh

long hedge
#

dam

#

well ig if you live with your parents then it'd be more expensive to go on exchange

scenic shuttle
scenic shuttle
# long hedge very advanced

that was a joke btw
the math course im taking this sem is basically precalc and next sem is calculus
then in 4th year they offer applied engineering mathematics, which I really don't know what kinda math is yet

long hedge
scenic shuttle
#

LOL

scenic shuttle
#

ye

#

its so boring

long hedge
#

europe vs canada is so different ig

#

college wise

scenic shuttle
#

only bc i dont go to top school catscream

long hedge
#

how is europe not a country ?

scenic shuttle
#

north america is also a country sotrue

scenic shuttle
#

no

long hedge
#

sour's favourite politician

scenic shuttle
#

i dont plan becoming a politician

long hedge
#

i'm talking about you 😠

long hedge
scenic shuttle
long hedge
long hedge
#

how did you know

scenic shuttle
#

read ur sentence

#

i had my previous banner over a month now and decide to change it with latest new song AdoActually

long hedge
#

why did bro change from the iconic 'chipper potato'

#

because you are a cs major

#

ay 60% of my time here is spent getting help

#

i count it as working time

#

fr

long hedge
#

i mean it is true tho opencry

scenic shuttle
#

change ur name to #1 java hater or something

#

dm @split oasis

long hedge
#

how did you change it before

scenic shuttle
#

since i still do boring math i wanna know how to get a 100 on a test PleadingFace

long hedge
#

typically you want to get all the answers correct

#

in which case you get 100%

scenic shuttle
#

true but i still make silly mistakes

#

its the calculations lol

long hedge
#

they often tell you to re read your answers at the end

#

right

scenic shuttle
#

ya

long hedge
#

don't do it at the end

#

instead do it with every 1 question as a gap

scenic shuttle
#

i could relearn my silly mistakes and do well on exam

long hedge
#

So say you complete question 1, then forget question 1 and do question 2 and 3 and then come back to question 1

royal basin
#

you can change it yourself

#

you want your name to change only in this server right?

long hedge
long hedge
royal basin
#

me when i have the role so i dont notice that you need it to do this

scenic shuttle
#

do u know display name in dms? u can change ur nickname with this

long hedge
#

idk why mods are such prudes about changing username

#

depends

scenic shuttle
long hedge
#

what kind of question is it ?

#

yea so if it's a fairly basic question occupy a channel in available help channels, if it's more complex take the subject specific channel

royal basin
#

why would that be the case though

#

oops i wasnt trying to do that, i apologize if it annoyed you

#

ohh i see

scenic shuttle
#

lets get back to stu(dying) catthumbsup

drifting wasp
#

Yup for sure

main trail
#

@drifting wasp , so what I was going to ask and say are a few things

#

do you know proof writing

uneven thicket
#

hello, am not sure if this is the right place to ask, but any tips on how can I improve my comprehension or understanding a part of math where there are mostly words than numbers? Im having a difficulty understanding texts in any books and I want to improve.

tropic void
uneven thicket
#

so ill just traslate it into numbers?

tropic void
#

mhm

uneven thicket
#

but how can I make like a formula or equation for a problem?

tropic void
#

e.g. finding concrete examples

uneven thicket
drifting wasp
#

The thing with analysis proofs, unlike linear algebra, is that they don't flow directly from axioms.

#

They are ..... creative!

main trail
#

Also know that analysis problems can and will take hours

eager halo
#

But I endearingly remember writing up some insane analysis proofs I now have no idea how I thought of. Fun stuff.

#

(Insane not in an ego-stroking sense, but just in a damn how did I think of that sense)

#

Iirc this is such a proof

#

The thing I like about Analysis so far is that it tends to be fun to think about and there tends to be endless ways you can try attacking a problem; I find the visualisability of things to be awesome.

main trail
main trail
#

Is having bad sems normal in one's UG degree

#

or does it just mean I;m doing somethign wrong

rocky terrace
#

How long of slavery is left for you?

eager halo
sour mirage
#

I'm getting skill issued

#

In PDEs

#

🥀

#

Bad sem or bad gpa?
I think both are normal but you'll get cooked if you want to go to grad school in the latter case

scenic shuttle
# main trail or does it just mean I;m doing somethign wrong

having bad sems in undergrad is pretty normal. but it depends on what u mean by "doing something wrong" sometimes it's not that ur doing anything wrong. it could just be tough classes, bad profs, lack of support, or personal stuff getting in the way

#

like for me, im having issues with my digital systems class rn and I feel like the whole sem is going bad just bc of the prof 💔

glacial raven
#

How do i get better grades?

storm tide
#

In general? Understand the material better. Avoid pitfalls like training solution procedures instead of understanding why they work.

long hedge
dusk estuary
green terrace
wide cryptBOT
main trail
main trail
#

RA1,AA1, An advanced LA course ( harder than LA2) and a sociology course

scenic shuttle
main trail
#

the last one is non-measure probability

dire lava
#

how do i study effectively

tacit glen
#

daily reminder to use noggin

long hedge
tacit glen
scenic shuttle
scenic shuttle
hollow sky
#

are there unsolved math problems that are useless even if they are solved, like there are unsolved math problems that are useful if they are solved?

#

if so, I wanted to know it earlier, because I have had a question, thought about it for a long time, then asked myself "what on the earth is my question useful for...?" and lost motivation for learning math so many times.

#

I didn't noticed an idea like that until I tried to search open math problems by chance.

long hedge
#

Engineer calling goldbach uselessreallyMad

storm tide
#

Or Collatz.

long hedge
#

The tools we develop to solve goldbach could be very useful like flt

storm tide
#

But that goes for every simple unsolved problem.

long hedge
#

Cs major calling me uselessopencry

#

Bro has not seen entry level market

#

But dw i am also useless

#

We can be unemployed together

storm tide
#

I feel it is most fruitful to construe "useless" in the sense of would it be of use in itself to know just the "true/false" answer (imagine it together with a machine-checkable but completely unstructured and impenetrable proof).

long hedge
#

Thats what every cs major thoughtKEK

#

EE seems safer than CS but then again you are a sophomore, in 2 years as things keep getting worse who knows whatll happen

#

Id Drop the double major tbh especially if ur short on money

storm tide
#

I would tend to consider the bare result pretty useless in the above sense. I don't know enough about the proof to judge whether it contains ideas or techniques that are separately useful.

long hedge
#

Dont think about it just do it

#

And thank me later fr

#

Bro does not care about his future💔

#

Crazy how much changed in 3 years

storm tide
#

At least as originally published, it was not a machine-checked proof, just a proof that depended on computer support for doing exhaustive searches in each of ~1000 special cases -- but the identification and classification of all those cases had still been done by hand.

#

For all I know there may exist a machine-checked formalization of the whole thing by now, but that wasn't how it started out.

#

No, that only comes with the activity roles. You can ask a moderator (directly or by a DM to ModMail) to have your name changed, though. As long as your desired name is not offensive, handling such requests is routine.

quick elk
#

Chipper, since you like Ocaml, just sell out to Jane Street after graduation

glass gull
#

I usually do pomodoros for my independent study tine.

Sometime the question is complicated and I would solve it eventually, not knowing if the sol is correct.

I dont bother checking sometime causs my mentality revolves around just getting reps in. We dont check answer in class for these home-practice set.

Am I being efficient ? Or should I always check answer??

rigid stratus
#

Though tropo's collatz answer would probably be my go-to, because of how famous it is

topaz mist
#

hello

steep grove
steep grove
#

Cuz it's topology aka. unemploymentology

#

Is proving the riemann hypothesis even useful?

#

We already use it a lot and it seems to be working fine

#

Will properly proving it do anything for us

long hedge
steep grove
#

How do double majors work

#

In my country, it's more like a 50/50 split in modules but u can bias one subject

long hedge
#

He needs to take extra year to complete courses

steep grove
#

So u could make it like 60/40 by choosing more math modules than CS for example

steep grove
long hedge
steep grove
#

Wtf

long hedge
#

makes sense imo

steep grove
#

How does that take ONE extra year

#

And not more

long hedge
#

Im in another country than potato

steep grove
#

Who needs two degrees

#

That's two degrees

long hedge
#

If you double major should be 2 degrees

#

if not then it should minor

steep grove
#

Here (UK) it's still one degree but it would be called smth like "Mathematics and Computer Science"

long hedge
#

ew UK

steep grove
#

But we don't do majors we specialise in one subject

#

Probably provides modules from other courses when needed

long hedge
#

sorry but i prefer talking about first world countries

steep grove
#

Aren't you in like poland

#

NPC ass country

long hedge
#

Um no

#

why would i be in poland

long hedge
steep grove
#

It says central European time so I just guessed

#

Nobody knows your country either way

long hedge
#

Central European time includes germany and allât

steep grove
#

Germany? Where that certain political party is from?

long hedge
#

everyone knows uk because everyone knows where the trash can is

long hedge
steep grove
#

So we can hate on the US together

long hedge
#

no

#

i will make fun of america with my other first world countries

#

not with uk

steep grove
#

I've never heard of a single school shooting in the UK

long hedge
#

yeah but u heard of stabbings

steep grove
#

Who gets stabbed that often

#

The media only covers the bad things

long hedge
steep grove
#

Nobody likes reading good stories

#

The UK is not even that bad compared to actual third world countries

#

People who say that haven't actually been to third worlds

long hedge
steep grove
#

Who gaf about london

#

London is a shithole

long hedge
steep grove
#

It is but idc

#

Stop being racist to UKians

long hedge
steep grove
#

Why did bro start hating on the UK for no reason anyway 😭

storm tide
#

Could we get back on topic, please?

#

(Or back to silence until someone wants to talk about the channel topic).

livid chasm
#

've only now started actually studying math, around the 10-12th grade level. There's this thing where I can't really solve a quadratic equation just by using a given formula just because it doesn't feel like I really understand what I'm doing without understanding where it all comes from. This just takes me to diving deeper into the rabbit hole of wondering whether I can actually find ways to do it without the formulas. How would you proceed in my situation? Stick with the methods towards more difficult concepts or really trying to do it all from nothing to understand the details.

I feel like the second option seems more "authentic" to me, but not too productive

#

So I'm guessing I might be over obsessing with proving everything, but not sure if that is the optimal way to actually start studying all of this stuff

frosty rock
# livid chasm 've only now started actually studying math, around the 10-12th grade level. The...

this is from person who doesn't have method for studying so take with grain of salt

the way i see it, most concepts that are explained actually do have easy way to understand why we are doing it that way, so i would suggest looking over proof, if it's easy enough then maybe spend time on that, otherwise maybe just memorize formulas (you'll get used to it the more you practice)

for example, let's take polynominal division: why when we read "P divided by x - 2 gives remainder of 3" we do x = 2? well that's because same way you can write n = ax + b for integers, you can write P(x) = (x-2)Q(x) + R(x) and when you do x = 2, you see that only R(x), the remainder, stays.
when you understand it this way, it's just hard to forget

so i would suggest looking over proof, if it's simple enough to ingest then i suggest it otherwise go with methods

storm tide
# livid chasm 've only now started actually studying math, around the 10-12th grade level. The...

Definitely look up how the formula is derived (key words to search for in this case are "completing the square").
It's a good instinct to have, and it will save you much grief down the line if you make a habit of questioning where things come from. Many formulas (though perhaps not the quadratic formula in particular) are so much easier to remember when you know the reason for them that the effort spent on investigating them is richly worth it.

livid chasm
#

Yeah, I'm guessing that is my weak link currently. I can solve the equations, I've figured how the CTS thing works, the discriminant etc, but it is troubling because I just get told to "use this method" and I can't figure if that's something I could've stumbled upon myself

#

I think I'll just stick to the formulas for now because digging too deep into all that is just way above me with my current knowledge haha

#

Currently doing khanacademy courses, seems to be going pretty okay

frosty rock
# livid chasm I think I'll just stick to the formulas for now because digging too deep into al...

i would suggest going through it atleast once even if you believe you don't have knowledge for it

exposure to derivations, even if you don't understand, will help and eventually you may get used to it the more exposure you have, our brains are pattern machines afterall, you will catch on something eventually

as for quadratic thing, there's actually nothing complicated in derivation, it's just adding terms in clever way such that you can write it in terms of square of something, then using two square difference, so i'm sure you can follow through it atleast once

#

some formulas relating to quadratic equations can also be derived directly by expanding $a(x-x_1)(x-x_2)$ then making comments about coefficients

mossy shadowBOT
storm tide
# livid chasm Yeah, I'm guessing that is my weak link currently. I can solve the equations, I'...

If you feel you understand an example of completing the square with actual numbers, I'd encourage you to try to convert that into an argument for the quadratic formula.
Take the concrete example, and for each actual number that appears in the explanation, write down an expression that explains how that number was calculated from the a, b, and c of the original ax²+bx+c=0 equation. At the end you ought to get an expression for the solution that is either the quadratic formula or something very close to it -- you might need to pull a factor of 2 in or out of the square root and so forth.

shell wasp
#

hi

#

here are my grades so far

#

does anyone have any advice for me

haughty bay
shell wasp
#

well im obviously failing cause i dont know how to answer the questions on the test

#

this isnt even math related

#

im just asking for school advice

haughty bay
shell wasp
#

biology

#

im also struggling in all of my subjects

haughty bay
#

bio really all comes down to understanding

shell wasp
#

the good thing is

#

lowest exam score will get dropped

#

i have to take 4 but only 3 counts

haughty bay
shell wasp
#

for the class

#

not the entire school

#

its hard man

haughty bay
haughty bay
#

if you’re cooked in that then you’re cooked in everything afterwards lol

shell wasp
#

we are learning

#

hardy weinberg

#

phylegony statistics

#

and then we are learning these crazy visual graphs

#

that are super hard to read or comprehend

haughty bay
shell wasp
#

atleast for me it is

#

it sucks man

#

im trying but im just not doing well

#

:/

haughty bay
#

take a step back and learn it from the start, it’s better to start from scratch than continuing blindly right now (if you are able to)

shell wasp
#

i have never struggled acadeimcally before

#

until now

haughty bay
#

it happens dude don’t stress

shell wasp
#

no

#

its not a burnout

#

i wish canvas would show the median

#

but for some reason its not visible

long hedge
haughty bay
#

it is a tragic, tragic sight sully

long hedge
#

We are kind of the cooked generation because the generation before us didnt compete with ai for entry lvl jobs nor had oversaturation, and the generation after us will have far better idea of what ai can and cant do

scenic shuttle
long hedge
scenic shuttle
haughty bay
#

not that it differs for me i am unemployed and not in the process of getting a degree lol

scenic shuttle
scenic shuttle
haughty bay
scenic shuttle
#

sometimes if u can understand the topic, u will be fine too

haughty bay
#

i’ve heard radiology is brutal

scenic shuttle
#

i got biomedical science course next semester and then i have an anatomy course for next year

haughty bay
#

i have big respect to anyone in medicine related fields

scenic shuttle
#

it’s biomedical engineering

haughty bay
#

that is even more difficult

#

medicine and engineering in the same sentence angerysad

#

i would have counted for bio too, but i do think that falls under medicine

scenic shuttle
#

and 4th floor just for labs

haughty bay
scenic shuttle
#

real

lone tapir
#

i have a keen interest in maths and i want to study it , but i dont understand a single thing from my college's teacher and then i go and look up for the topics on the internet and there i get lost and in search of finding where to study from i waste a lot of time and then i start procastinating . ive got finals coming up in 3 weeks and i havent studied anything .

rocky terrace
haughty bay
#

washboard abs in no time

worn dove
glacial raven
#

Math study group Ottawa, Canada

Looking for mathematics students and enthusiasts local to ottawa to form a study group. Preferably university level mathematics. If anyone interested, let's discuss

devout sun
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I like climbing stairs🗿

royal basin
devout sun
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Wouldn't mind that except the problem with living on a higher floor is that if there's a fire you're probably cooked, literally

long hedge
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If u lived on a higher floor id definitely start a fire

long hedge
royal basin
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i chose 16 literally because i live on the 16th floor

royal basin
long hedge
scenic shuttle
glacial raven
scenic shuttle
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thats fair

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what r u doing rn then

main trail
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I'm never going to get why people use AI for math

heavy needle
wispy zephyr
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does anyone actually read user manuals anyway

main trail
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For people who don't want discord

heavy needle
wispy zephyr
# main trail there's MSE

i feel like the type of people to use genAI are probably very much not the target audience for SE-type sites

storm tide
heavy needle
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Does SE even have a target audience anymore

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More like "no good questions exchange" fr

main trail
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( not to say I won't get good answers here)

heavy needle
main trail
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My 2nd most upvoted question was basically in essence trying to make sense of an "inner product" over an ordered field

heavy needle
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Heh lmfao

main trail
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( bad question I know, sorry)

heavy needle
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Bad question? Why

main trail
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It has no practical use.

heavy needle
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Wrong

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Why would it not

main trail
heavy needle
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I was just thinking funny because of the scare quotes on inner product

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Considering the brave things I've seen people do to their definitions of that term

main trail
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I used quotes as it's not an inner product in the traditional sense

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and you may lose the fact that the inner product maps back to the field of the VS

heavy needle
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Inner product, as I've learned, is typically reserved for positive definite symmetric bilinear and hermitian sesquilinear forms on Real and Complex vectorspaces

main trail
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yup, I've learnt a simpler defn, which lead to this question

heavy needle
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Of course I use it as generally as any nondegenerate symmetric bilinear form on a module

heavy needle
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Like, no reason why the obvious map on F_2^n isn't an inner product except for your fears

main trail
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You can't really make sense of an inner product on a finite field IMO

heavy needle
main trail
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Because what's positive-definiteness then

heavy needle
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Definiteness is a condition dropped

main trail
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then it is possible yea

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in my course we call that a semi-inner product

heavy needle
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But if you need it back, just think of definite as meaning no nonzero null vectors

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That's what it means for the corresponding quadratic forms

storm tide
heavy needle
main trail
main trail
# heavy needle Gross

We didn't really deal with this much, just came up to remind us that CS doesn't need definiteness

heavy needle
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Comp Sci?

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Conjugate Symmetry?

main trail
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cauchy schwarz

heavy needle
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Ah

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I can never remember CS, it's the one about the magnitude of the product and the product of the magnitudes or smth right?

main trail
mossy shadowBOT
heavy needle
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Does that even make sense outside of a euclidean closed field

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You need roots and an ordering