#serious-discussion

1 messages · Page 467 of 1

velvet dagger
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How so ryc?

deep mango
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maybe for some proofs....

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for a lot of math proofs the hard part is having the idea in the first place

hidden bone
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I used to have that issue

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But then again

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I have only done set theory and logic

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So haven’t reached the hard stuff yet

deep mango
# velvet dagger How so ryc?

sometimes if really good opportunities are laid out in front of you, you aren't able to get yourself to say no to them even if saying no to them is the best course of action for your personal goals

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i am who i am now because no one was setting up dominos for me to knock down toward a math phd

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no one in my family has any clue what academia or STEM is about

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i would not be who i am if i didn't have to figure some stuff out and pry open some doors myself

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obviously at some point this could backfire and it's like, oh, i'm stuck and i can't move forward and maybe i could have had i had a better set of resources from the start

velvet dagger
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That's possible but I also don't necessarily think this path is like, "the only" one that could've worked if that makes sense? If you're locally doing what feels right you're probably gonna somehow end up in a good spot

hidden bone
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also

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Another question

velvet dagger
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I applied ED to Penn and would've gone there if they ended up pulling through with the aid

hidden bone
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How hard was college for y’all

velvet dagger
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I was actually in the school of engineering and applied science there!

deep mango
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uh, very very hard by the end

velvet dagger
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Chances are I would've never done the math major, I would've done smth like CS or chemical engineering or smth like that

deep mango
velvet dagger
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But I'm pretty certain that if I went down that path, one way or another I would've been happy. Obviously even if I'm giving advantages the onus is on the kid

deep mango
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sure

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i don't think this is the way that everyone looks at their life trajectories though

velvet dagger
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I could send them to a great school but they have to be the ones who wanna work in school. The college counselor being able to give individual attention and turn lotteries into games with reasonable odds is an advantage but if they decide you know what? I wanna drive a truck. Then they can do that, and then my way of helping is to get them started without debt in trucking

hidden bone
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Are y’all happy u did a math major

velvet dagger
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I guess my view is that success in life is something that's both a function of your choices and a function of... random shit

deep mango
velvet dagger
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And if that random shit just stops you dead in your tracks it's like well... that kinda sucked

deep mango
deep mango
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varied a lot

hidden bone
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Today I studied the whole day

deep mango
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sometimes it was 10 or so hours a week, sometimes it was 90

hidden bone
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Only 10

velvet dagger
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It's possible on accident it leads to a path that would've been better but it's also possible, in fact more likely, that it just makes your life garbage for a while with no real payout. If you can bend things in your favor sometimes without being immoral... Could work

hidden bone
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sometimes

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Bruh

deep mango
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usually it was around 40 hours a week (just a job)

hidden bone
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I also think I learn slower in math lol

deep mango
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you probably don't, math takes a lot of time to learn and get used to (proof based math)

velvet dagger
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re the costs: I mean I guess in principle there could be pressure but as far as I'm concerned if I have kids I'll communicate to them that, hey success comes in many forms

hidden bone
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Idk

velvet dagger
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Pursue your success

hidden bone
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I grinded 8hrs today

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For a test on Wednesday

velvet dagger
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And my job as a parent is to do my part to make your goals/dreams a reality

hidden bone
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@deep mango did u go to Berkeley

deep mango
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i feel like as a kid i rebelled against my parents being like "you should do what you want and enjoy the moment, it's not good to plan too far ahead" mentality and this is what led me to be very structured and ambitious

velvet dagger
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It's possible I look at things too much as a success/failure mindset, in particular I'm very risk/failure averse relative to other people

deep mango
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maybe that's why i think my parents had a good strategy

hidden bone
velvet dagger
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But I think there's some merit to that mindset

hidden bone
deep mango
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there is none

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or

hidden bone
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What

deep mango
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i guess there is one

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but it's just discrete math

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and linear algebra

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both show you how to write proofs

velvet dagger
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And that for most people, reducing barriers to success and having it such that the cards are in your favor is a good thing

deep mango
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idk, i usually opt to make things more difficult for myself when i can because i'm not doing the thing for whatever the thing does, i'm doing the thing for personal growth

hidden bone
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I also realized something in college

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U have to actually pay attention

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In lectures

vagrant kestrel
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D:

hidden bone
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Like in HS I never paid attention to class

deep mango
hidden bone
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And used YouTube to survive

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But like YouTube don’t help anymore

deep mango
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youtube can still help if you find the right channels

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there's a lot of advanced math on youtube now

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since covid

hidden bone
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Really

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What are good proof channels

deep mango
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uhhh

velvet dagger
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Yeah I tend not to look at things that way. Like... idk for me a lot of the point of personal growth is that it helps you "enjoy life" rather than as an end in itself?

deep mango
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richard borcherds is like the best

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but is also for more advanced classes

hidden bone
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Is he math sorcerer

deep mango
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(abstract algebra and stuff)

deep mango
hidden bone
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Also did y’all do competition math

deep mango
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if you drive me to the top of a hill to show me a view then i don't care about it nearly as much as if i hike up the hill

deep mango
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in high school i got to the AIME twice, did terribly on it

velvet dagger
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Hmmm, for me it depends. Low stakes challenges that are about... idk if I should say strategy but are somehow mental

deep mango
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competition math is a meme

velvet dagger
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Are the types of challenges I vibe with

hidden bone
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Does it help for college

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Competition math

deep mango
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not really

velvet dagger
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If it's a matter of pure grit or if it's actually a high stakes challenge, like failure comes with a nasty cost

deep mango
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maybe if you do like

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combinatorics classes

velvet dagger
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Then I think I'd rather have it smooth

deep mango
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alright well

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careful if you want to project that onto your kids

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i don't think what i'm saying is the norm but i also don't think it's terribly uncommon

velvet dagger
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I'd wager people find challenges that are purely a matter of grit more rewarding than I do

deep mango
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(although it's possible when people say things like this, they're just coping)

hidden bone
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Well if I have kids I’m forcing them into competition math or science

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Makes u a better problem solver and test taker

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Imo

velvet dagger
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But I'd say when it comes to high vs low stakes most people are hard on my end

velvet dagger
deep mango
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what do you mean

velvet dagger
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I think it's much easier to be okay with "high stakes" risk vs... actually high stakes risk

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So I'd wager a lot of people who enjoy difficulty in the sense of, failure comes with a price

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That price isn't as high as could be

hidden bone
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@deep mango do u know anyone who never studied for anything in math or stem and did well

velvet dagger
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You're sorta confident that you can bounce back from failure and things will be okay

deep mango
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i really have very little idea of what you mean by failure or stakes of stuff

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i don't have a measure for that

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i just do stuff and having to deal with tough situations is fun

hidden bone
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I’m failing rn

velvet dagger
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I guess as an example

hidden bone
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Lol

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I have a C in Econ

velvet dagger
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When my dad moved from NY to Texas to start a business that was a gamble

deep mango
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ok not all of them do well

velvet dagger
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It's a big move and a risk but I don't think it was a thrilling one

deep mango
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but most of them

hidden bone
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Like went to college

velvet dagger
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Because the cost of failure is, he's in debt probably for the rest of his life

hidden bone
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Aced every math class

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Never studied

velvet dagger
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When that's the reality that's facing you

deep mango
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oh

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i see

velvet dagger
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Difficulty becomes way less appealing

deep mango
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i thought you meant "never studied any math or science"

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not "never studied FOR math or science"

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lol

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no, i do not know anyone who never had to study

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everyone met their cap at some point

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where they couldn't rely on natural ability

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sometimes it took a while to find that cap

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the harder they fall, etc etc

hidden bone
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I mean also in college how do u retain everything

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For like math stuff

deep mango
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you dont

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you forget some stuff after your exams

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and then later you might need to know it again

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so you look it up and it comes back really quickly

leaden skiff
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well, if you actually understood it then it comes back easier than if you blindly memorized it

deep mango
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yeah

leaden skiff
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I don't think I could remember any of the Stat formulas I learned in school even if I looked them up cause I never understood them 😔

deep mango
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same

primal crater
eager crescent
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where discussion-0

real lantern
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Has anyone done the mit ocw 6.042j math for cs? Not sure which one to do, the 2016 or 2010 because the 2010 has full lectures.

limber perch
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6.042 is a nice course

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it’s basically an intro to proofs class for the cs majors there

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the ocw year shouldn’t really matter

vale dawn
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hey if we have to square a number like if we want to square 100
we can find the sum of first 100 odd numbers which is equal to that but why this thing happens
is this any sequence or series

vagrant kestrel
vale dawn
leaden torrent
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if youre familiar with induction, try to prove it.

vale dawn
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is there any thing

vale dawn
leaden torrent
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weird phrasing

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there are many reasons this identity is true, from geometric to combinatorial

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but its good induction practice as well

vale dawn
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ok thanks

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👍

hazy fiber
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if you project a sphere onto a tangent plane like this
https://en.wikipedia.org/wiki/Orthographic_map_projection
is the result a full hemisphere or is it off by some infinitesimally small amount
like, say true north is at 0 degrees latitude; if you do a projection like this at the equator, is the northernmost point 0° or is it like 0.000000000001°

Orthographic projection in cartography has been used since antiquity. Like the stereographic projection and gnomonic projection, orthographic projection is a perspective (or azimuthal) projection in which the sphere is projected onto a tangent plane or secant plane. The point of perspective for the orthographic projection is at infinite distance...

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apologies if this isn't relevant to anything, just curious

untold sapphire
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it would contain the northernmost and southernmost point

hazy fiber
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cool

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thx

jovial ember
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@inner finch hi Mizzy

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🫂 bund mara loru

devout nacelle
jovial ember
deep mango
atomic cypress
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i unironically havent studied for a school exam in forever, one of the reasons why my grades were very wonky

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studying important kids

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on the other hand i had plenty of time to study for things like the math gre

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so i did

odd narwhal
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Tips for studying for the GRE? Everyone says just review but my calc classes were very non-computational so I don't have that experience

atomic cypress
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just practice integrals and series from single amd multi variable

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and know basic definitions and concepts in analysis, topology, algebra

bronze pelican
glad grove
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If I cry hard enough on the GRE will they let me pass

narrow rock
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don't do the GRE sully

glad grove
narrow rock
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don't do the GRE sully

cold needle
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i hope i don't have to do the gre

limber thunder
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there's also mock GRE sheets you can actually use to practice, that's your best bet for these kinda tests

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lots of repetition

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hopefully you won't have to do it tho

odd narwhal
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Problem is there aren't a lot of previous GREs

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So you can run out of official material p quickly

narrow rock
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don't do the GRE sully

atomic cypress
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don't do the GRE sully

sick burrow
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when should I start studying for the GRE

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I'm currently at the start of my Junior year of undergrad

narrow rock
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don't do the GRE sully

jovial ember
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I’m gonna do the GRE

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I’m gonna do it 1000000000x times

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I’m gonna give ETS 3 billion kajillion dollars

bronze pelican
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What does ETS do with the money

eager crescent
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They buy tomatoes to throw at people

languid gyro
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Fuck ETS

limber perch
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the ETS is owned by Pearson

bold ferry
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general gre really bad

devout nacelle
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I am do the GRE.

inner finch
deep mango
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OC

cold needle
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OC

jovial ember
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🫂

inner finch
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🫂 chand mara

neat lintel
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nMizzoid

inner finch
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good point

jovial ember
gentle bay
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Google Translator exists.

toxic schooner
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which can be explained in a single sentence

pale orchid
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what is chand mara

toxic schooner
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Chand means moon

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i think its a slang-y way to say gand mara

gentle bay
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For further explanation of this you are recommend to use Google Translator.

weary garnet
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are there cases where you can't express something without parametric equations or are parametrics just to make things neater and easier?

bronze pelican
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nMizzoid

sick burrow
weary garnet
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can any parametric curve be expressed in terms of x and y or whatever variables without the parameter

leaden torrent
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sure, but your expression might be a complicated piecewise mess of relations

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parametrizations are often much simpler

leaden skiff
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is there any situation where the parametric is really ugly/complicated, but the direct equation isnt?

sick burrow
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This isn't maybe the best example, but I'd rather express a circle by the relation x^2 + y^2 = r^2 than with a parametric

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Or how about this. Imagine a set of nested circles with each integer radius from 1 to n, with a vertical line connecting all of them into one path. That's easy to describe with "sqrt(x^2 + y^2) is an integer, or x=0" but i really do not want to parameterize it.

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You could probably think of more annoying examples if you tried

meager sonnet
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Oh hey Mirza is back

leaden skiff
fathom swallowBOT
wild lantern
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It seems like you could always make a parametric equation of a curve messy.

leaden skiff
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imo the parametric is always as messy or less

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i cant think of many situations where it's worse

wild lantern
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Like rather than (cost,sint) it seems like you could have (cos(t(u)),sin(t(u))) where t(u) is some nasty function that still lets you plot the same curve as (cost sint).

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Oops I meant rcost, rsint.

leaden skiff
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there is always a parametric equation that can model a curve better than or as good as any "normal" equation

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what's the word for a "normal" equation again?

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like y = f(x) or f(x,y) = C

high rivet
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Is it weird to feel like a genius when you're buzzed on caffeine?

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I get really egotistical about my intelligence when that happens

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Like I see myself as a genius when I do

vivid halo
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I mean yes that’s how dopaminergic drugs work

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If you’re really sensitive to that kind of thing

dawn orchid
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lul

brave hollow
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why do I feel like shit when I drink coffee then 😦

neat lintel
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Oh interesting

timid spindle
atomic cypress
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If I can even write a definition as densely as Taylor does I feel like a genius

neat lintel
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I’m in maths rn

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double period😟

primal crater
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I was in the ML discord server, they are not as active and beginner friendly as this server

leaden torrent
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so theyre sane

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unlike us

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we pretend to have an academic veneer but 99% of this server is high school students looking for hw help

primal crater
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like there's literally a rule saying ask beginner question in #beginner-question or you'll get banned!

neat lintel
#

square root of 3 is about 1 + 1/2 = 1.5 thinkies
https://www.youtube.com/watch?v=PJHtqMjrStk

This math trick allows you to work out the square root of any number - NOT JUST PERFECT SQUARES - instantly. With decimals. With ease. Can you work faster than a calculator? With this tecmath trick you just might! The math shortcut magic is back!

To donate to the tecmath channel:https://paypal.me/tecmath

To support tecmath on Patreon: ht...

▶ Play video
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$\sqrt(3) = 1.7320508075688772935274463415059$

fathom swallowBOT
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Bleidorb

bronze wren
bronze wren
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Y is literally f(x) that’s how functions work

leaden skiff
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what are you not sure about

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like what don't you understand about what i said?

bronze wren
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Functions where y isn’t f(x) non-“normal” functions if you will

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I don’t think they exist lol

leaden skiff
bronze wren
leaden skiff
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cause theres ways to describe curves that aren't in the form y = f(x)

leaden skiff
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$\vec{r}(t) = (x(t), y(t))$

fathom swallowBOT
leaden skiff
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that's a parametric equation of a curve

bronze wren
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Shit idk what that is

leaden skiff
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it's not of the form y = f(x), although sometimes it can be reduced to one

leaden skiff
fathom swallowBOT
leaden skiff
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that's a circle, but it's not of the form y = f(x)

bronze wren
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Ohhhhh

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I gotcha

leaden skiff
bronze wren
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*y

bronze wren
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Ones where domain is t

leaden skiff
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that would be, yes

zinc lily
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Yes, Mathematics server is the most friendly one I hv been.

deep mango
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Is this you? banach_alg_hermitian_involution

odd narwhal
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I think here we have 3 effects:

  1. To humiliate the person and hint that he is dealing with C * -algebras (because everyone hates them)
  2. To humiliate people who do not know what a C * -algebra is and to hint that they are illiterate
  3. To confuse people who thinks that badges should be related to the text of the message
frank abyss
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Guys when you see this

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what do u understand frm it?

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im so confused as to what its saying

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whats the (1) and (0)

fast ivy
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What's the context exactly?

frank abyss
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My textbook says the following:

The Historical Model, it is assumed that the correlation coefficients in the previous
period will give the best estimate of the correlation coefficients in the future.
So the correlation coefficient matrix keeps the same as the previous period. The
idea of Historical Model is very simple, we use the historical matrix in this study
as a benchmark against with other models can be evaluated.

fast ivy
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I don't know if that tells us much

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Could you take a screenshot or something?

frank abyss
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ok

sonic sentinel
leaden torrent
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sorry, thats not possible in general as the space of all math homework does not surject into online homework submission platforms

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in other words, uploading homework is not epic

vast surge
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The fact that it's not surjective doesn't mean that it's not an epimorphism; consider the category of rings.

leaden torrent
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try again

vast surge
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And the category of rings isn't?

crystal stream
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can I get away with using the residue theorem in my mathematics for engineering class

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i have to compute inverse z transforms and I found a method that makes it like, super trivial

vast surge
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Ask your professor

analog salmon
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just prove the residue theorem first

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EZ

high rivet
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Is getting a 1390 on my SAT good if I was only 15?

distant vortex
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Sure, getting a 1600 at 15 would be even better

pale orchid
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you should just look at what your target unis are asking for

distant vortex
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More specifically, good for what goal?

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Yeah, I don't think unis will take your age into account that much. The score is more important.

velvet dagger
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I think age was being mentioned since like

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He'll have multiple shots to improve

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And with that in mind I'm generically happy with 1390. When I was applying some time back (out of 2400), the target was 2100. If you pass that you're at a point where the SAT is not responsible for your rejections

sick burrow
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I mean it depends on the school though right?

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Like isn't the mean SAT score at MIT like 1520

velvet dagger
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I mean 2100+ is where it's like, not even the top school are likely to make a thing out of it. At least then

sick burrow
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Also aren't a lot of school test optional now anyways

velvet dagger
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Now my advice is a bit different since the test got easier and has only two sections

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Let's say 700+ each section and at least 750 on one/1450 total?

sick burrow
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Hm?

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Isn't it two sections that are each worth 800

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Out of 1600 max

velvet dagger
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Yeah

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I'm saying out of 1600 you probably want at least 1450

vivid halo
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is getting a 1090 on an SAT good if you're only 9?

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getting a 400 on the SAT when you're 1

sick burrow
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Is getting a 1080 on the SAT good when you're a gpu??

distant vortex
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Getting a 69 on the sat is good at any age

sick burrow
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Or should I be taking the AMD exam instead

pale orchid
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someone crunch the numbers and do a regression

crystal stream
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,w plot 650ln(x)

fathom swallowBOT
crystal stream
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looks about right for a sat score curve

odd narwhal
blazing pawn
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at top universities at least

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But in general its very good

vivid halo
velvet dagger
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Yeah I mean like I said now I think 1450 is kinda the replacement minimum since the test got easier? Or maybe 1500?

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Definitely 1500

blazing pawn
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i mean you just want to be at

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at least the median score for where you are applying

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preferably higher

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which tops out at like 1520ish most ivies and stuff and maxes out at like 1540 for caltech

velvet dagger
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I mean do they weigh it that hard? I feel nobody cares about the difference between 1500 and 1600 lmfao

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Like that's borderline statistical noise

blazing pawn
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Uh it depends on the place

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most dont really

velvet dagger
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That's where you've sorta hit the bar you need to hit for SAT and now they focus on your actual shit like grades, ECs, essays

last oxide
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youre borderline statistical noise catThink

blazing pawn
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But if there are a lot of people applying and you see two pretty similar app but one person has a 1500 and the other has a 1540 its going to have an impact

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even if its minor

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and u dont really want to be in the position of someone seeing ur score and going "well, thats a little bit below our average..."

velvet dagger
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Would it really? I feel like with how much they care about holistic admissions I'd likely expect that except at Caltech

blazing pawn
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it wouldnt make or break ur application though

velvet dagger
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They just see is SAT > X?

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If so coo we now forget what your SAT score is

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Definitely GRE is pretty much like that

blazing pawn
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I dont think theyre gonna forget considering ur app is reviewed for like 10 minutes lolz

velvet dagger
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And back in the day 2100 was effectively that, maybe there's a bit of a difference between 2100 and 2200 lol

blazing pawn
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or let me put it like this

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if i was applying somewhere and i could retake for free

velvet dagger
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But 2200 vs 2400 is no effect

blazing pawn
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i would if i was below the median

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i wouldnt if i was above it

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But i would still apply either way

zinc lily
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You got partial me

blazing pawn
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also it kind of depends on how ur applying and where bc these stats get deflated a bit by people who have non academic "spikes" or whatever theyre good at and get in with like 1300s and such

zinc lily
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Are they chess ratings?

blazing pawn
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No lol

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SAT scores

zinc lily
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ok,
I was going to say 2200 and 2400 are entirely different 😄

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Do ppl score full in SAT?

blazing pawn
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occasionally

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u can just google like

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"SAT 1600"

zinc lily
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Do we hear about them later?

blazing pawn
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No idea what u mean by that hmmCat

leaden torrent
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perfect scoring the sat isnt particularly noteworthy

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a decent chunk of top students do so every year

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its certainly not "the norm" but it happens

blazing pawn
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I think that once u reach just under the median they start becoming like

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exponentially less valuable

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at most hard to get into places

zinc lily
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Which is the best college for math in US? And to get into it we give SAT right?

leaden torrent
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a sat alone will not be enough for any top school in the us

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theyre gonna look at your grades, your essays, your ecs, your background/demographics

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anyway, there isnt a clear "best"

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especially at the undergrad level

blazing pawn
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The best school is wherever i end up

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to be decided

leaden torrent
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at the grad level the traditional "big 6" are princeton/stanford/mit/harvard/berkeley/chicago

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but this is very rough

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since advisor quality is way more important than school prestige

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harvard, despite its prestige, has kind of been bleeding good advisors in most fields recently

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i still wouldnt complain about going there but

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it makes comparison hard

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at the undergrad level, you have even more factors to consider

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like program quality

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do they let you skip courses to take more advanced material? do they have strong reus or other opportunities for undergrad research? etc

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i'd rather an unrestricted program with plentiful research opportunities at a top 20 than a restrained program with hyper competitive research positions at a top 5

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but thats just me

blazing pawn
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Nami do u think that would be relevant to me at all as an undergrad

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Probably not right

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The advisor thing

leaden torrent
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idk

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im a bad judge of this

#

the point is that theres so many factors that its hard to make an informed decision imo

#

without direct, personal advice from someone very knowledgable about you and your goals, at least

odd narwhal
leaden torrent
#

not really, thats factored into scholarships though

#

but unless your parents are "donating" massive sums

#

thats not supposed to play a role in admissions

#

just aid

limber thunder
#

nepotism moment

vast surge
#

Just out of curiosity, why do some people have emojis in their names now?

#

Wait why do I have an emoji in my name now?

surreal sapphire
#

its linked to the role

#

new discord feature

vast surge
#

Oh awesome

tropic tulip
#

How do you study for a chemistry test?

odd narwhal
#

Probably like how you study for any other test

light needle
#

thonk

sick burrow
#

What is the origin of the banach_alg_hermitian_involution role

eager crescent
#

I don't see no emoji

odd narwhal
#

Update your discord

spark dirge
#

my open math is

#

the worst webstie

eager crescent
leaden torrent
crystal stone
#

FIGHT ME

#

I don't really care that much

#

I'm just salty that berkeley has now rejected me twice

#

Gonna make it thrice soon

#

Also socal is better than the bay area

deep mango
#

cope city

#

bay area >>>> socal

maiden lily
#

C*

dapper pivot
#

is consciousness a bunch of chemicals ?

deep mango
#

yes

#

but they're all my chemicals

dapper pivot
#

it’s so interesting though how can we put a bunch of chemicals together and it works 😭

eager crescent
#

magic

velvet dagger
#

My impression is that socal is probably more pleasant but Bay area weather is better

#

Like Bay Area seems to have optimal weather

velvet dagger
crystal stone
#

The beay area weather being better

#

bay*

#

Irvine has like perfect weather

#

And you can't beat it

velvet dagger
#

Socal summer seems unpleasant

#

In my mind Bay Area is like

#

Breezy and 50-70 for the vast majority of the year

crystal stone
velvet dagger
#

I guess in what way is it better? Like what's a time of year that you'd rather be in socal than norcal?

crystal stone
#

Every time of the year

#

The food in socal, particularly LA and OC are far superior to the food in bay area

#

Even down in SD the food is really good

velvet dagger
#

I buy the food being better in socal for sure

#

But I mean even if beach in summer is fine, I don't think it beats having 60s in the summer

wild lantern
#

I doubt food is really any better or worse in the bay area compared to socal.

#

Maybe socal has more good big name places?

deep mango
#

i heard this from a lot of socal people in berkeley

#

it smells like bullshit to me

velvet dagger
#

It seems quite plausible tbh, if only because Bay Area just doesn't seem like... Idk a place you especially associate with food. Socal not really either but it stands to reason that they have stand out good Hispanic food

crystal stone
#

LA and OC are just OP when it comes to good food

#

There's a vietnamese place in OC that got a michelin star

#

So fuck you Bay Area

latent forge
#

how do people get permastudying?

#

is that a soft ban lol?

neat lintel
#

ask mod

deep mango
#

permastudying just removes you from general discussion channels

latent forge
#

tim onbrian

#

im pretty sure

#

also im kinda sad to lose ivory tower

deep mango
#

tim is a seethie still

#

you would still be able to see ivory with permastudying

#

that's the only off topic channel that isnt blocked

latent forge
#

i just need to become honorable trusted or adv helper or helper or very cool ppl or misc roles

#

johan just slightly off topic

#

but do you know anything about geometric realization

deep mango
#

johan just slightly off topic

#

but do you know anything

latent forge
#

ryc do you

#

in class today

deep mango
#

🐙

latent forge
#

we were talking about showing equivalence of categories for category of chain complexes and something else

#

some phd chad mentioned using geometric realization and I think he said its used to show something, but I wasnt able to follow so easily

deep mango
#

i have no idea

#

this seems like something someone here will write you a big blogpost about

latent forge
#

but I think first I need to understand homotopy category

deep mango
#

that nobody asked for

latent forge
#

meh

#

i hate life

#

why cant i become older like you and know lots of math

deep mango
#

well you're learning math i don't know now sully

latent forge
#

give me two years back from league of legends or highschool and id be happy

#

i want to learn the cool analysis you know but im straying further away

deep mango
#

i just wasted 5 hours watching survivor, then big brother, and then playing celeste and beating 1 level

#

so

latent forge
#

sounds comfy ngl

#

cooking and rock climbing and anime have been my cope

deep mango
#

not as much anymore

#

i'm bad at it

#

well i'm pretty good at celeste but i've played it for a long time so i should be

#

dabbed! loL!

latent forge
#

i dont know if this is a thing but you ever feel anxious for no reason because you can’t remember a definition. yesterday I was just filling up my water bottle thinking about definition for submersions immersion imbedding and constant rank. but i forgot them and was thinking of how to rebuild the definitions but then i realized I dont remember if submersion was one with constant rank dimension of M or N given a smooth map from M to N.

deep mango
#

i am bound in the suffocating gauze of your relentless torment...

latent forge
#

is there a anxiety called definition anxiety

#

tbh its in top 10 most stressful feeling ive had recurring

deep mango
#

i feel like this happens to me often

latent forge
#

next to getting harrased by others for no reason

deep mango
#

but i've gotten good at just ignoring it and going to look in a book to remind myself later

forest jackal
#

it shouldn't stress you out as much as it sounds like it does

latent forge
#

i need a cure or prescription or something

#

it has me sweating tbh

forest jackal
#

lol

latent forge
#

like i notice my back and armpits sweat

#

hands get clamy

velvet dagger
#

I don't know if definition anxiety is a thing in itself

#

It's prob one of those things where

#

You'd get anxious whenever you feel like you're lacking in something important

#

And it just so happens to be the case that you put importance on definitions, so when you forget you're like fuck I should know this

#

But I would be truly surprised if it's like

#

You find being able to do X as a more important endeavor than knowing definitions

#

Yet X doesn't make you anxious while definitions do

latent forge
#

yea but i think its a bit unhealthy for me. on sunday I got stuck in woods with my friend, 5 km deep on truck road and car broke down. I was more stressed about not finishing homework or remembering the problem correctly than getting back home. So maybe it is a combination of things.

Also its not just definitions you are right, but sometimes its just theorems and not remembering correctly

#

every weekend im just hoping ill catch up on learning but the cycle just repeats

velvet dagger
#

I mean it's probably general anxiety. If this anxiety were strictly tied to math, and other similarly stressful endeavors didn't do this to you

latent forge
#

if i get caught up for diff top the problem becomes algebra, if its algebra problem becomes algebraic topology and it keeps going

forest jackal
#

My memory is terrible compared to what I would like it to be, but its fine. That gives you lots of little exercises to piece things together in your mind.

latent forge
#

the only time ive felt more anxious is when I ran track in highschool

forest jackal
#

and being distracted by math when doing non-mathematical things is a rite of passage for mathematicians, it's almost impossible not to be.

latent forge
#

typical anxious activites like public speaking dont get me

forest jackal
#

if its anxiety and no good feelings though, that's a different matter.

latent forge
#

i feel relieved when I check and remember definitions correctly

#

Also another sligtly off topic but I think I need to follow ryc path and learn more applied and physics stuff

eager crescent
#

Try forcefully thinking about something else when that happens?

#

Idk if it would work

#

Surprised too

latent forge
#

Talked to someone today about operators on wave functions and I dont know what either are precisely. I was told that operators when applied to wave functions give you a probability density of physical observables or something or the other?
Also wave functions generally have information on the system being worked in? Im not exactly sure what operators are supposed to be so I kept thinking of operators like in math.

#

All in all I am shit at understanding physics language and need to branch out to some other applied field

eager crescent
#

physics is cool

#

I wish I had kept studying physics in parallel to maths

latent forge
#

Is there a topic like physics besides computer science that uses loads of math and is useful irl. I had an awakening that math felt truly useless without society or being applied to something. I always felt like it was a super tool that would help me solve a ton of problems but when confronted with outside problems im at a loss.

eager crescent
#

engineering

#

robotics

latent forge
#

same ish

eager crescent
#

social science

latent forge
#

engineering is always cool though

eager crescent
#

archeology catThin4K

latent forge
#

but when i meant loads of math i meant outside of pdes

deep mango
#

What is that supposed to mean...

#

I don't know a lot of physics but I undeniably know a little sully

eager crescent
#

information theory, it's not cs or physics but more of a mix

latent forge
#

I was thinking of heading down a statistics rabithole

eager crescent
#

Oh statistics too yes

latent forge
#

because I honestly find lots of methods interesting

deep mango
#

What is a statistics rabbithole

eager crescent
#

Why didn't I think of that, I study stats sully

deep mango
#

it goes like 2 feet down

latent forge
#

learning stats so much that i feel removed from math

deep mango
#

teafortwo lurkie....!

eager crescent
#

Stats is maths sully

latent forge
#

lurkieturkey

#

nlab is way cooler than I thought

atomic cypress
#

Pick up Laszlo et al, Gine and Nickl, and Keener to do mathematically challenging stats.

#

Nothing else is that compelling mathematically.

latent forge
#

ok

eager crescent
#

Statistical thinking can be somewhat philosophical

latent forge
#

my largest problem is finding time and commitment ive noticed

eager crescent
#

At least I see some statisticians try themselves at philosophy sully

latent forge
#

Is there a khan academy for analysis?

atomic cypress
#

Laszlo does convergence of learning methods, has a stochastic dynamical systtems feel. Gine and Nickl do "how do I estimate things I can't discretely parametrize". Keener does statistical foundations and theoretically you can read just Keener and know more stats than most MS students in stats.

eager crescent
velvet dagger
#

I see Laszlo and immediately think Babai and I'm like :0

latent forge
#

why ppl shit on stats so much

atomic cypress
#

literally who is lehman

velvet dagger
#

Idk how much shitting on stats I see

#

People def don't like it much

#

Because it can be painful

#

That's actually really good

atomic cypress
#

stats taught right is reverse probability theory. instead of knowing the distribution and figuring out its action, you know the action and figure out the distribution.

eager crescent
atomic cypress
#

anyways feel free to shit on statisticians, they dont know measure theory

#

Gator talk to your average stats phd

eager crescent
#

Tbh it's true

#

As much as I hate it

#

French statisticians know measure theory though

atomic cypress
#

yes, but the frenchies do stats like math people do prob

#

pascal didnt know anything

#

he just randomly wrote down things until he was correct

#

its how i write papers

#

game recognize game

eager crescent
latent forge
#

they dont?

#

do physicists?

atomic cypress
#

no lol

#

physicists write measures but cant tell if what they wrote makes sense

#

believe me, im working on formalizing measure garbage physicists thought worked but actually runs off to infinity

latent forge
#

i wouod be interested to hear but probably over my head

#

i need to level up my analysis so much

#

i think ill take grad analysis senior year

eager crescent
latent forge
#

also where do you give talks irl

atomic cypress
#

theoretical statisticians and physicists actually do math seriously

latent forge
#

i wanna practice giving more math talks and getting grilled by math audisnces

atomic cypress
#

your uni should have seminars

latent forge
#

yea but they are classes

#

so ur telling me i gotta sign up for seminar classes

#

bruh moment

atomic cypress
#

oh hey i have a lehmann book i "found" but never read

#

never saw the point but maybe itll change

#

keener is high stats theory, he's good shit

latent forge
#

weener

atomic cypress
#

i should probably also rec van der Vaart, he's also stat theeory

latent forge
#

also wtf

eager crescent
#

Especially laszlo

latent forge
#

i looked in analysis pinned

eager crescent
#

Can't find the name

latent forge
#

where tf gomez get all the time to review those books

atomic cypress
#

laszlo called nonparametric regression, gine and nickl is infinite dimensional, keener called theoretical stasts, van der vaart called asymptotic stats

#

i have more recs but theyr specific to my interests, you should also pick up a book on monte carlo methods, there are some oddly nontrivial things there

eager crescent
velvet dagger
latent forge
#

nvm it was sloth

velvet dagger
#

Oh lol

eager crescent
#

Tbh I have never read it, only seen excerpts

latent forge
#

in bookrec

atomic cypress
#

imagine estimating points

i just draw them at random

velvet dagger
#

That was because for those subjects I was literally looking for good books

eager crescent
#

Monte Carlo is a vast topic

#

Can be very fun as well

atomic cypress
#

yes, i love running monte carlos, so much fun

latent forge
#

Lso you said aluffi has bad exercises

eager crescent
#

Mathematically fun

velvet dagger
#

Like I start with D&F, nah boring. Artin, nah it mixes the group theory with the linear algebra and I'm trying to speedrun group theory. Herstein is good for GT but later not anymore so I need something new

latent forge
#

which ill agree some of them are lazily worded

atomic cypress
#

just learn algebra off wiki

velvet dagger
#

I help a friend through Aluffi problems, they make me wanna pull my hair out

latent forge
#

actually though

velvet dagger
#

I read Jacobson and it's just nice

#

Etc

latent forge
#

like which problem wad the worst?

#

im on part e of the book

atomic cypress
#

read aluffi and do dummit and foote problems

velvet dagger
#

Ider but like

latent forge
#

part 3*

velvet dagger
#

I feel Aluffi just kinda has a bunch of problems which are just

atomic cypress
#

i say that but i havent done anything but skim aluffi 😂

latent forge
#

aluffi is shit at defining things ill say that

velvet dagger
#

Yeah this proof is easy but it's long and I don't wanna write it

latent forge
#

i had to use wikipedia to find what univeral property is more formally

velvet dagger
#

So I'll just give it to you even though it's not that interesting and probably not very informative

atomic cypress
#

aluffi is hilarious

#

you shut ur dirty mouth

velvet dagger
#

Maybe you can make a case that it's largely repeating a textbook proof to solidify or whatever

#

But it feels lazy

latent forge
#

it is lazy

#

the chapters are lazy I can verify

atomic cypress
#

dummit and foote had a bunch of "write the jordan form" problems

#

holy moly

latent forge
#

some intution is built but at other times im wondering how can I use this category theoretic concept I just learned to to make this problem easier

#

when its shouldnt really be done

#

Also I have a smol question

velvet dagger
#

Yeah jnf problems are painful

latent forge
#

We have that for category of modules direct sum is the product and coproduct

#

But if we take an infinite product this changes

#

We have that infinite product stays the same but infinite coproduct has these weird conditions

gloomy breach
#

homies

#

where do i publish math papers

#

i got trolled twice now

#

so please not again

atomic cypress
#

vixra

latent forge
#

I think I might have to just go and work out a bunch of examples

atomic cypress
#

if you have a real paper reach out to a prof

deep mango
#

is this dude's name even pingable?

gloomy breach
#

yet i have a real paper

deep mango
#

do you though?

gentle bay
#

Maybe he is not doing a PhD.

#

Doing Masters or Bachelor's or HS or something and wants to publish.

atomic cypress
#

if you have a real paper reach out to a prof and theyll know

deep mango
#

collatz or riemann?

latent forge
#

senku isnt perma studying?

gentle bay
latent forge
#

oh thst is tim

gentle bay
atomic cypress
#

tfw they never claim to solve the bsd

latent forge
#

i thought you were tim o brian

gentle bay
#

Oh okay.

neat lintel
#

remember paying california's rent price is harder than publishing paper

latent forge
#

bsd a deez nuts joke?

gloomy breach
#

okay homies

#

thanks

#

see you in the textbooks

latent forge
#

😓

gentle bay
eager crescent
#

reach out to a prof if you want to be published, they'll know which journal is relevant

#

And also if it's worth the journal's time

gentle bay
#

Leave it.

velvet dagger
#

Senku has a different energy than Tim but their avatars gave vaguely similar vibes

neat lintel
#

if there are some mistakes, they will let you know that you'll have to revise

gentle bay
#

Oh do they.

#

Mine is a Tardigrade.

#

The strongest.

#

The most surviving.

#

And his/her/their is a cat.

#

The supremacy.

#

Mine is stronger and chiller thought devilish .

gloomy breach
#

Cats>Dogs

gentle bay
#

Yessssss.

neat lintel
#

yes

latent forge
#

oh rip

#

i want to do research soon

#

idk who I even ask and idk the topic tbh

#

presumably the topic would be on one of the classes im taking but all the classes feel like I need more prereqs before I begin research

gentle bay
#

You are doing PhD?

latent forge
#

no bachelors

#

but it seems like getting math research is one of those hard to do things

#

I should only ask profs once im well adjusted anywayd

gentle bay
#

Oh cool.

#

Which year?

latent forge
#

im year three

#

covid wasted my potential methinks

eager crescent
#

I didn't even need covid to waste my potential smugsmug

#

More seriously though try to ask profs to do a research internship with them

#

Research is usually done after a masters though

#

Well in the usa you can enter a phd right after undergrad but I think it includes masters?

gentle bay
atomic cypress
#

In theory it should be possible to get a PhD without an MS in the US, but the requirements often overlap

#

So it's often as simple as just applying for the MS.

pale orchid
#

how does that work? you write a thesis about 2~3 years into the program?

devout nacelle
#

So you effectively spend the same time as an MS just taking classes/giving quals?

pale orchid
#

but you have to pass the quals for a masters as well? i know you do to go on with the more research side of a phd

devout nacelle
#

Hmmm, makes sense

pale orchid
#

so the question was more like for those ~6 year programs where you go in as a bsc and directly go for a phd

#

what do you do in the middle to also get a master's degree, if you want one?

#

i see

#

that's pretty handy

#

right, i see it mainly as a fallback measure

#

pretty reasonable, too. i can imagine a lot of people jumping straight into phd from bachelor might find out they're not that into academia

#

lol yeah

atomic cypress
#

A PhD can be a path to a free Masters.

#

No question about funding.

#

Of course that's a good way to burn bridges

pale orchid
#

yeah, especially if the funding came from a project

eager crescent
#

Europe master race

pale orchid
#

wait, i've seen this one before

#

not really true

#

isn't education super expensive in netherlands? also uk and switzerland, but i suppose those don't count

#

i guess i was looking at it from a foreigner's perspective

#

epfl is as expensive as netherlands for foreigners

#

ofc being born in a 1st world country is life on ez mode

#

i'm already there 😛 did msc and doing phd there

#

i was just commenting on the truth of "free education"

#

the bad kind cuz i'm an eng

#

bad multilinear algebra, statistics, and optimization in a trench coat

#

commonly known as signal processing

#

wdym by filter theory

#

like inverse problems and stuff?

#

LSI systems and junk

#

yeah

#

it includes what i mentioned, but goes more in depth

#

i do a lot of the basic form of that

#

yeah, electrical engineers run the kid version of this in bsc

#

some of it includes this, yeah

#

stuff like "beamforming" is optimal filtering based on the observed data's probability distribution

#

telecom is more like it

#

like you have antenna arrays and feed them specific signal patterns so that the radiated fields have a specific shape

#

this is the same as applying filters in spatial domain

#

thüringen 🥲

#

you in thüringen too?

#

sachsen

#

afd ftw

#

go blue

#

2 years ago, ye

#

no, so far i have only assisted in a handful of compressed sensing lectures

#

but i do supervise a bunch of students doing masters

#

they have some small research projects, like the so-genannte hauptseminars

#

gutachten as well

#

i'm hired at the uni as wissenschaftlicher mitarbeiter, so

#

if the prof wills it, it happens

surreal sapphire
#

i think you need the degree you are grading

#

so if they are doing a masters and you have a masters, all good

#

i know there were some issues when i was grading exams for bachelor classes and didnt have a degree yet

#

no

pale orchid
#

i also don't usually do it "alone". there's a chief researcher above me who has a phd, but usually i handle it myself

surreal sapphire
#

habilitation is distinct from a phd

#

(and kinda going out of fashion)

atomic cypress
#

oh do you also do spdes

#

what area

#

oh grats

pale orchid
#

nice

atomic cypress
#

well spdes is a meme, have fun

#

best area of math

pale orchid
#

i see spdes in related stuff, like people simulating acoustic fields for seismology and ultrasound

#

i don't do it myself tho

atomic cypress
#

I'm in the US, I do the intersection of SPDEs, analytic geometry, and physics

#

It's not that bad, I just learn less of each thing opencry

surreal sapphire
#

i start my master thesis soon(tm)

#

then probably phd in crypto

#

ye

atomic cypress
#

yeah crypto big

#

what particular subarea

#

just general?

surreal sapphire
#

i do nt and graph theory most

pale orchid
#

Lochverstärker verstärkt Löcher

atomic cypress
#

nt?

surreal sapphire
#

and the idea is isogeny based cryptography

devout nacelle
#

Zahlen theorie

surreal sapphire
#

which is kinda both

#

nt = number theory

atomic cypress
#

neato

surreal sapphire
atomic cypress
#

yeah i know what nt is, i just meant that as a followup

surreal sapphire
#

oh ok

atomic cypress
#

i coauthored one paper on lwe lattice crypto

#

it was very cool, but i decided not to pursue crypto

surreal sapphire
#

my bachelor/master thesis advisor knows some guy and they know the top researcher in post quantum crypto

atomic cypress
#

name?

surreal sapphire
#

luca de feo

#

and they already paired up a math and a cs grad to research that

#

so the idea is that i do the same

atomic cypress
#

3rd round NIST postquantum submission

surreal sapphire
#

yeah

#

this is the latest stuff

icy forge
#

That acronym

surreal sapphire
#

its a spin on elliptic curve crypto based on random walks in isogeny graphs

icy forge
#

are the people involved zoomers

pale orchid
#

@lilac raven this is the sort of stuff i more often deal with, related to your filtering stuff https://ieeexplore.ieee.org/stamp/stamp.jsp?arnumber=1197303

surreal sapphire
pale orchid
#

that and subspace techniques to separate signal components from noise

#

prolly

#

how about here

#

petre stoica shows up a lot in this type of stuff

#

you can kinda ignore it

#

it mostly defines the structure of what ultimately boils down to y \approx Ax + n, with different statistics for n and a different structure for A depending on the application lol

#

and different properties for the expected value of (Ax + n)(Ax + n)^T

atomic cypress
#

Van der Vaart had this very cool terminating chapter on semiparametric statistics with the parameter on a manifold.

#

I'm loosely speaking looking at flow and transport equations that have singular geometric interactions that are useful in physics, which break symmetries that we can tackle by stochastically renormalizing things. There's also some SUSY on the horizon which is making me blobsweat but I'll pretend I'm not doing any of that yet.

#

whats with the sus eyes

#

oh

#

as ive been discovering, neither do i

#

basically think of it this way

#

navier stokes on bounded domain

#

water hit wall

#

no more differentiable

#

turbulence what happen????

#

yes, im basically staring at the problem like a dispersive pde

#

looking at the transport of 2-forms that have symmetry up until collision with the wall

#

at which point it's time to start doing big brain things like uhh checks notes stochastic ricci flow? OhNo_cat

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a meme

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math thing, for 3d flow you defind as the calculus curl of velocity field

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you can treat it as a differential 2-form

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well that's vorticity but anyways

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i have no idea

inner finch
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capon beamforming thonk

atomic cypress
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who knows what people do in continuum mechanics

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everyone has a different idea of whats interesting or useful

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whoa that cool

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what the fuck

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physics departments would get wrecked by this class

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is this math

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why would math people teach continuum mechanics lmao

pale orchid
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they probably do it with discrete approximations

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then it fits well

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efficient algorithms, memory-aware computing, matrix-free methods, etc

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robust opt

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turns out the way you write the stuff on paper is often not at all how you actually do it cuz you wouldn't have enough resources

latent forge
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oh

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i recently learned that vector fields are related to sections for vector bundles

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makes sense

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i think i understand the basic idea of constructing a fiber bundle now too

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but it seems applied to almost everything in a way i cant describe well

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applied to a lot of things I should say

thorn brook
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bundles stare

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me:🚶‍♂️

deep mango
cinder zephyr
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Fiber bundles

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ECE majors crying over the fact that's not what they think it is

blazing pawn
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Bundles are poggies

vivid halo
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elementary formalization

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in differential cohesion

latent forge
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engineering civil engineering

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wait

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kernel is a fiber?

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at 0

cinder zephyr
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Electrical and Computer Engineering

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Uh

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Idk

latent forge
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i think so

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because you have a map from A to B

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kernel is when map on A is 0 in B

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fiber at 0 in B is subset of objects in A mapped to 0 in B

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sounds foolproofed

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oh

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i now know what a fiber bundle is

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So a vector bundle of a linear transformation f X to Y is {f-^-1(y)}_y in Y such that f^-1(y) isomorphic to some subspace of Y?

fast ivy
# latent forge kernel is a fiber?

Yeah, the fiber of a function $f : X \rightarrow Y$ at a point $y \in Y$ is simply defined as $f^{-1}(y)$. This is a very general definition.

fathom swallowBOT
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MisterSystem

fast ivy
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Mainly because if f : X -> Y is a linear map between two vector spaces, in general f^-1(y) is not a subspace of X.

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We can guarantee that for y=0 tho

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Prolly the nicest way to get a vector bundle that is induced by a linear map T : X -> Y may be like taking ker(T) or Im(T), but these are trivial vector bundles. I suppose you were trying to define something more interesting.

latent forge
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uh

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nah

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i think I just need each fiber to map isomorphic ally tonsome subspace of of Y

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or nvm

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i just read nlab definition and was remembering covering space definition for manifolds where each fiber is locally diffeomorphic to something

fast ivy
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So it doesn't make sense to ask for an isomorphism

neat lintel
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Hello?

blazing pawn
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Need to write this section of my paper

crimson python
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hello guys, is here anyone with knowledge about network adapters ? my wifi dis - and reconnects every 5-10mins, i already un -and reinstalled it again with no success

eager crescent
cyan cave
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hey guys~

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I NEed welp abut something thats pretty ez for u guys

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u guys know elo system? uwu

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Ik how to calculate in a 1v1

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but how to calculate in a 2v2 or 3v3 or 4v4 etc etc

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^^ makes it more easier to calculate

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the k-factor is the cap for elo changes

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higher ur elo, higher the lose k-factor
higher ur elo, lower the win k-factor

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WELp

neat lintel
leaden skiff
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hey why do schools force kids to memorize a bunch of trig functions and identities

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when eulers formula makes deriving them trivial

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would it really be that hard to teach 9th graders complex numbers?

last oxide
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probably not tbh

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I dont think thats that far off of a take

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but maybe better for like 10th grade or smth

pale orchid
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maybe mathematical maturity

sonic sentinel
#

Hello, 212.72.223.99! Welcome to Wikipedia, I have seen your recent contributions and have determined your edit is garbage. As such, I have reverted your edits on Employment in Hong Kong. Please read WP:NC, WP:BOLP, WP:IUP, WP:NPOV, WP:OR, WP:V, WP:!, WP:NAD, WP:AGF, and WP:ABF before daring to touch our holy encyclopedia. Fuck you, and if you don't read the aforementioned policies I will press the geolocate button on your page. -Abraham Quinten Andreas Tijn that's my name! (talk) 4:39, 1 October 2021 (UTC)

neat lintel
sonic sentinel
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seriously

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conversation on anything rarely lasts more than a few lines on #chill

leaden skiff
# last oxide but maybe better for like 10th grade or smth

in 9th grade we learned trig but like only with triangles and not the unit circle definition, in 10th we learned abt the unit circle.

imo trig would go way better if instead you only taught it in 10th grade, after complex numbers, and also teach the unit circle definition