#serious-discussion
1 messages · Page 148 of 1
#feather
as k varies from [0, infty)
This gives us a very nice visual indication for the stability of the system as k increases
basically if the root locus is on the positive real axis, all of those values of k would make the system unstable
this all sounds interesting, but I clearly don’t have the technical knowledge to follow along nicely
Now, one type of controller we use is called a lead (or lag) controller, in which there are three design parameters: p, z, and k
k is the gain as before
it’s okay though, I’ll listen anyways
p and z are the poles and zeros of the controller transfer function, and the idea is
by selecting p and z smartly
why can "pull" the root-locus plot more to the left
which means less of it will be in the positive real half of the complex plane
which means we get more values of k that let our system be stable!
now the way you pick p and z depends on some design parameters, the idae is given some design parameters (the controller should respond this fast, the controller should achieve that steady state for this input, etc) you can pick some points in the complex plane that you want your RL plot to intersect, and then you pick p and z such that it does intersect that
and that's what I was trying to do
the astersisk were the points I wanted to intersect
here let me show you the original plot
can someone pls help me w a permutation and combination question i have my test coming soon
lla
pls*
this is the original plot, without using the pole-zero controller
do you see how much less of the blue and green hyperbola lie in the left half of the plane?
yes, actually
it's nowhere near the asterisks, the values I want to intersect in order to meet the design specifications
now look at the real axis
you can see three x's
just like remember the location of those x's to compare with the next photo
now here's the system with the controller I designed
can you see at the very left, that green line on the real axis with the x?
that's the pole I added using my controller
and now if you look near the origin
you'll see a circle, an o (like in tic tac toe)
that's the zero I added!
and you see how by adding those
I kinda "pulled" the root-locus plot around them, as if they had their own gravitational field or something
hmm
and I got it much closer to my desired values (and more importantly, more into the left half of the complex plane)
so the difficult part of the problem is actually choosing p (pole) and z (zero) correctly to get the root locus to look how I want
which I clearly didn't do right 
but I got close!
so how would one choose p and z correctly
what approach would they use
for that matter, what do you plan on doing?
so
#feather
#feather
so basically we just compute the sum of angles
see how much it overshoots 180 degrees
then guesstimate a location for z, there's some heuristics for where to place it but at the end of the day it's purely an engineer's choice, there's no fixed or algorithmic way to select it
then you just solve for \angle p
and find the appropriate point
here's what I mean by the angles btw
I want to go into control theory, which is what this subject is about :) it's about how we can design controllers to control the behavior of a dynamical system so it responds the way we want it to
It's heavily used for automation/automotive processes (as in automated, not cars)
Like think of a thermometer
The controller is what tells the thermometer what input it should send your AC system so it can reach the desired temperature you set
and if it's unstable...
well everyone dies of heat stroke or hypothermia :D
plane autopilots are another great example
actually, a really interesting example I learned about in this class
so look at a commercial airliner
control theory seems kinda cool; there was a program for linking up UG math students with grad students to study a subject of the grad students' choice
control theory is so based
and i applied for the control theory one
it's so much deeper than I expected 
well, one of them i applied to was that at least
you see how the wings sweep backwards?
i applied to a couple others too
the wings sweeping backwards makes the plane naturally stable
if it tilts a bit
it'll automatically want to tilt the other way
How did it go?
so it maintains a net zero angle
mfw stable equilibruim
now look at this type of plane
i didnt get in 😔
Oh
in general, it's hard for first years to find research oppurtunities here
this design is inherently unstable
yf-23?
if you turn it a bit it's going to want to spiral and crash
idk what plane it is LOL
now the interesting thing is
even though it's unstable
the benefit is it responds extremely fast
like if it tilts a little bit it tilts more really quickly, it's a really fast change
How much higher is the skill level of a professor than that of a grad student?
so in practice, a human could never control this
fly by wire innit
but using a controller...
apparently X-29
Like if a PhD student takes 2 years to complete his thesis, could a professor in the same field do that much quicker?
well it can react very fast and predict the right inputs to make it not go terrorist mode
i'll control it
i can fix him.
but how do you quickly stop tilting when you've achieved your desired tilt level?
and crash so i can end my misery
that's not quite how it works i don't think
As in complete the same thesis ?
Yeah
You don't! You just tilt back the other way a bit, you're always tilting back and forth around your desired equilibrium tilt
No.
and then tilting back the other way makes you want to tilt even more that way, so you have to tilt back the original way after
my life story in a nutshell
it's like trying to balance a pencil on its tip using your finger
ah okay
you move your finger back and forth to try and keep it straight
PID loop ftw
A thesis is a personal essay about your own discovery/insight et cetera on a subject - unless you have someone working with you, no one usually knows it like you do.
yeah :3 I wanna get into geeometric control eventually, that uses differential geometry techniques
sounds super fascinating
Diff geo + control theory!!
ayaya 😁
this is why i have a lot of respect for engineers lol
I mean.... it's not really like a "personal essay" lol
I read some stackexchange story about something similar happening to a math phd student: apparently he had been trying to solve some problem for his research for like 2 years already, he showed his problem to some very talented peer, and after some days, he gave him the solution 
i dont know how to think about this type of stuff
and design stuff using that knowledge
well mathematicians formed the basis for it :3 it's a collaborative effort <3
I thought using simple words would help.
that's why fighter aircraft are inherently made more unstable
i feel like design is harder than theory in a lot of ways
This is why I hold the opinion that you should always give up after 2 hours
especially because lives are often at risk
yeah there's a lot of variables we can't predict exactly 😔
You can't compare them
they're completely different
I agree
neither is easier than the other
So wouldn't it be similar for a professor, one could imagine he just does things much quicker than someone less experienced without all the knowledge?
perhaps i should have said for myself
i am the worst experimentalist you will ever meet
@mint patio would not be pleased to have me as a lab partner
LOL
You can do all the math and writing and theory and I'll do the computations and figures :P
just give it to chapGTP
i've not forgotten about this
it's such a crime
did this lab turn out okay in the end, feather?
we got a 75 but I don't think it was because of that 💀 we forgot to put some stuff

It's funny this is the first lab class I've had trouble with
thats why you play the blame game and push all the faults on your labmates
It definitely was that coupled with everything else that was missing.
(joking)
I think they blamed me actually 
for what
they said we forgot because our docs were all over the place and that was kinda my bad
I don't rlly think that's how we forgot, I think it was just an honest oversight
but owell
i see
i hate doing labs lmao
i know they're important, but i just cant find them fun for some reason
maybe it's a first year physics problem
and the later years have more interesting stuff
Just do labs in your garage
Lol definitely is a first year problem
i'll become nilered if i do that
it gets more and more interesting as time goes on
design and build a car engine 
why build a car engine when could design and make a nuclear reactor
(afaik, some have done this before)
you gotta start small 
like young's modulus or like F = kx spring constants
i'll build a thermonuclear bomb one day
k, unfortunately
some neat math there
Support the channel: https://ko-fi.com/jkzero
Step-by-step guide on how to derive and solve the neutron diffusion equation to determine the critical mass of an atomic bomb. It involves solving a partial differential equation but every step is presented. In the end a general formula for a nuclear critical mass is found.
Relevant links:
• Criti...
elastics are beyond the scope of our course
I believe he has some other bomb videos
One day :D
I was just gonna link this
sniped >:)
this is also really good btw https://www.youtube.com/watch?v=gXeAp_lyj9s&t=1s
Support the channel: https://ko-fi.com/jkzero
Story of how Planck discovered the blackbody radiation formula and why he introduced energy quantization as a math trick
Errata:
08:10 instead of Pringscheim should be Pringsheim, thanks to @petermarksteiner7754 for notifying this
14:40 after the integration there is an extra minus sign that should...
bet
bold of you to assume i'll take a course on continuum mechanics (who knows, i might)
oh is this method of perturbation
continuum mech is based
well hopefully!!!
hello
i've seen this video i think
oh btw the engineer folk are here
i love math
you guys should watch this then
The blue LED was supposed to be impossible—until a young engineer proposed a moonshot idea. Head to https://brilliant.org/veritasium to start your free 30-day trial, and the first 200 people get 20% off an annual premium subscription.
If you’re looking for a molecular modeling kit, try Snatoms, a kit I invented where the atoms snap together mag...
very good 
Shuji Nakamura is so based
true
Yeah this is on my watch list
I'm in class
once I get home say less

so you're ignoring the class to type on discord?
based
I'm good at writing and analysis
I'll be ight
I say that like I don't ignore most of my classes for Discord anyways 😂
please teach me how to write coherently
i have a severe vocabulary problem
and phrasing problem lmao
wait did the math server remove stickers?
cant ever describe my thoughts without retyping what i wrote 100 times
uhh honestly just read a lot and analyze what you're reading, you learn what good writing looks like
This is completely normal
The most renowned authors do this
It's good to do that
when i wrote essays in hs, i spent 2 weeks doing 1 essay 
different type of analysis 
When I wasn't cramming mine the night before, me too hehe
issue is that i've gotten way worse at reading
because i do it less than i used to
same
I was a big reader as a kid so I'm glad that paid off, I could never do it now. ADHD too cancer
Backwards or forwards, you're still learning :)
i read a ton when i was younger too
my reading skills are going backwards, and my math skills are going backwards too it seems 
maybe you've just gone FTL in your learning speed
about writing, i actually need to learn how to write properly because i'm applying for research opps
and statement of interest is a thing so...
You can do it :)
ty
Also using "math vocabulary" in normal writing 💯
"One can trivially see the fact that ..."
How is this channel more active than #discussion
It's not?
It isnt?
The last message, before mine, was 2 hours and 50 minutes ago
In discussion, probably at most a few mins
this channel is basically overflow lol
feather and I were originally talking in #math-discussion but moved here because there was another convo in that channel
"I leave it as an exercise to the reader to complete my reasoning in favour of school uniforms"
just realized a course I was planning on taking next semester has a prereq that won't be available for another year zzzz
nothing is ever easy 😭
Welcome back.
What's that course?
Multivariate statistical analysis. It has Linear Models as a prereq and they’re normally taught one course a year. Somehow though it got skipped this year so my cohort (2 year program) won’t be able to take Multi
gonna talk to them to see what our options are but it’s just a mess
,ti 1043973524961902612
The current time for ishigamisenku_ is 10:59 PM (WAT) on Wed, 06/03/2024.
kensukeken is 6 hours behind, at 04:59 PM (EST) on Wed, 06/03/2024.
well i wanted to say "I have a test happening in night school" and it went like horrible I suppose
nah
then I realized you were sleeping so I couldn't bother much 
gn
you are going to sleep?
yeah
alright gn
,ti
The current time for ishigamisenku_ is 11:00 PM (WAT) on Wed, 06/03/2024.
sleep well
lol
or not getting kidnapped

Sounds splendid.
Early.
Be a bother.
fun fact: if you disturb someone, you might get blocked or ignored 
or whatever
i posted earlier today that I won't be able to take the course I planned on in the fall for my stats program, but as a blessing in disguise I might be able to substitute it with a real analysis course and just hope the pure math students will adopt me nicely lol
Is it a common occurrence to get confused by syntax definition overlap? Like I just encountered an expression w(x), which I interpreted as a function, but I just found out it was actually just w times x but the x was in parentheses
Perhaps, I’ve never feared either.
me either
but i keep disturbing all my friends
Sometimes I think 🤔 but then I Forget 👺
yeah it's pretty common to get confused by this
usually the author makes it clear from context
e.g. if w is a number then w(x) is multiplication not function application
but there are times when it's not very clear which is annoying
ah ok I'm glad someone else can empathize with that
cause it's been a trend for me
mainly from authors who have engineering background (i.e. computer vision) is where it's been big for me
Hi. Can anybody that feels chronically lonely due to social anxiety share some coping mechanisms?
Maybe title them as enemies from now on and watch your guilt vanish.
kinda not sure what you mean by that
like in a bad way or good way?
!help
To ask for mathematics help on this server, please open your own help channel or help thread. See #❓how-to-get-help for instructions.
Hey there, pursuing a doctorate in psychology; loneliness induced by social anxiety is usually because your mind is bombarded with fearful thoughts concerning the scenarios or outcomes of situations or realities that have not happened.
It’s the fact of unpredictability that causes the anxiety, perhaps to cope either:
1.) Learn to appreciate loneliness as solitude (play chess, sudoku , read or listen to lofi).
2.) Or pop culture communities as a newbie in small increments of time to master comfortability in being among but not controlling the environment (karaoke, chess, Discord Jedi vs Sith Lord evaluation etc).
In every way.

I mean thats completely true and false
I have some boring friends and some fun friends
esp the irl friends are indeed boring
Thanks man. I learnt to appreciate my loneliness by reading and imersing myself in other worlds, it's pretty great. Math also helps as well, but sometimes it just comes rushing down and i feel pretty shitty and empty. I will try finding some communities as a safety net for when things get rough
Hiiii
go to the gym
This is math server
But yeah easy way to cope
Is to not talk to anyone
LOL yeah, i see
I realized i feel far more depressed when i interact too much with other people
Also how do you know you are anxious?
People have thought Im anxious and I dont think I am
I thought its a feeling you know when you feel it
I can't interact in crowds at all, i mean it's pretty bad
It's not mild, it's very evident honestly
Sure
Like do you think people are aware of every feeling they have?
I mean, many things run in the background
Yeah
Most people are unaware of things most of the time
What if anxiety is one of those things that can be aware and unaware
Talking about me
Im not saying you arent or are
Bruh
Dont delete the messages
I cant read that fast
Yeah
I dont think there is a solution
Not everything needs to be resolved
Like if you are angry, you shouldnt work towards not being angry
But how do you propose dealing with the problem?
Is it a problem?
Or do you see it like that because it interferes with things you have to do?
It's pretty impairing, it turns you into a pariah because people think you dislike them because of the way you behave
It impacts every facet of life
Maybe thats a symptom of anxiety
Ive met really anxious people and assumed they were weird
Could be
But it’s because I didnt know what anxiety was
Its still not a problem though
Unless the goal is to be very likeable
It's pretty distressing to actually try existing when you feel most people you interact with actually hate or dislike you
Yeah thats probably a symptom and idk if there is any solution
I know people have drugs to reduce anxiety
It's a problem, i've been trying to deal with it.
I could always say im not a therapist, but thats a dismissive answer
Nah i dont think so
We live in a society after all, you need to interact with other people. If the interactions you have all lead you to feel miserable then you will live a miserable life
I mean you interact online right?
Yeah, but it's not the same
I feel nothing, there is no filling of the black hole of emptiness that loneliness in real life leaves
Thats poetic
It just doesn't work the same
Yeah i can see it sometimes
I do personally think people idolize real life interactions over online ones
I do prefer real life because its easier usually
The funny thing is that when i isolate myself i can just choose not to care, i just do my things and live my life. The problems start when i have to actually leave my room and am forced to interact with other people
And that is just inevitable
Yeah I dont think i have had serious social anxiety, the closest is shyness
So i cant give any advice from my own life
Yeah, i get it.
Ive felt really anxious before
But it was justified
Like right before a race
Or asking someone out
Not the same tho
Yeah, you had a little taste of what it feels like i suppose
I dont think there is a solution personally but I could be wrong
Drugs have helped people I know with anxiety
I mean, there is therapy, but it usually takes years and i just don't have the money to pay for it
Oh so ur a traditional student?
Yep
Rip
LOL thanks for your words
They were honest if that means anything
They do, it was a good talk
I dont know what its like but if it happens to me I probably would just play RPGs and go to work and nothing in between
Sounds like a good plan
Im pretty content with not being universally liked
I still have close friend group
And i dont have problems making new friends irl or online
Oh, i'm fine with it as well
Yeah but you want to be likeable
But being universally disliked is hell
You arent though
Yeah, but my brain is an asshole i suppose
I mean if its really bad other people can tell and pity you
The cunt must want to feel like shit
Huh
The brain that is
Im not british idk
Me neither, i just usually use mixed language
My english was mostly learnt browsing the web so it's a mix
Is it like number 1 priority in your life?
Or are there other things you wish could change
Nah, i can deal with it
Isolation is a pretty good technique that works
I dont think isolation is always intentional though lol
But there is always a yearning, you know? For something more
Isolation is great when intentional
More time to do what I like
What you like?
I mean you have option to hang out with friends
Do you do any math?
I do yea, i'm not completely alone. If i was i think i would have killed myself a long time ago honestly
What math do you like?
Yeah no other choice
I wondered if math was a phase
I dont think it will be but idk what ill be doing in 10 years
Do you do any programming?
Ye
maybe more math! Wouldn't that be great?
No
hahaha
I probably wouldnt approach math the way I am now
What you mean?
Like I know Ill always have a general interest in math
But I dont know how I will be praying 10 years from now
I dont think I will be reading from textbokks
Are you in high school still?
I already work a job doing CS stuff
And not as much math as you would think
It depends on what you are doing ofc
But in general not really
Yeah, if you really want to do math then you either gotta go industry and have it as a hobby or go the academic path, which is pretty bad
That's cool
Yea
For sure
But I am a little worried where my interest will go
If I think about past passions when I was younger
They just stopped
And I still remember them
Just explore and go where it takes you honestly, if it stops then it stopped
No point in doing anything else
Nah im worried about that though
What could I be doing in replacement?
And why am I not doing it now
I mean, if you force yourself to hold some interest then you're inevitably gonna dislike it
Then why not explore?
And no external pressures make me want to do math rn
You'll probably find something if end comes to end, the world is full of little wonderful things that you can discover
I see, that is a fair worry and i guess you just gotta accept the uncertainty
There is nothing to be done
Yea tru
Im pretty anxious about the future
But it doesnt really matter because I have plans anyways
If I didnt have plans Id be more anxious
Yeah, that's fair
Worrying about the future actually helps to some extent
But it can impair you if you do it too much
Good talking to you but i gotta go
Good night
Gn
same dude
its insane
and i will get so upset with myself after the fact
deleting reddit is a good start
I have deleted both youtube and reddit
from my phone
but my phone isn't the issue most of the time
youtube is useful so id keep it
it's my PC
lots of useful videos
youtube is the main problem 
do you study from texts usually?
having a study space helps a fuckton btw
same here
indeed
if you have the space for it
I guess I should just go to the library
do u need to go on pc?
if you have a close library that would be very good yeah
There is like a huge public library near my college but you can't take your own books into it 
nah no way
not even something to write on ?
yeah then you are good, surely they have analysis books and such
embed fail
ok
L
Mods!
yea it is insane they have every book from intro analysis and algebra to spectral geometry and differential algebra and K-theory and whatnot
it's a huge library
well then whats the problem
just go there and literally study for 10 hour
they only have 1st edition Abbott 
if it helps, dont bring your phone lol
no 2nd edition
is it that big of a diff?
use carother's real analysis
over the course of 2 months
will u tho?
that seems kinda squigee
talking about breaking habits gives the same feeling as actually breaking the habits
instead of spending 4 hours a day, I'll spend 3.5 hours a day next week for the whole week
same with talking about the plan and stuff
and then only 3 hours the next week
hmm i see
and then only 2.5 hours the week after that one
It's about keeping the 1st derivative low yk?
20 hours per week 💀
just progressively taking it down

i still remember the old neam
what do you think about that James?
i think i do
No no, old old neam from like 3 years ago
before the physics server even
oh?
diff geo and func anal in my first year neam 
this was back when I talked a bunch in mathcord
ohh
I found physcord through mathcord
is the plan to study 4 hours a day, i didnt follow
but it is okay
slack off 4 hours per day
everyday

im generally not a fan of specific numbers, i would prefer you set goals and try to reach them
I only slack off 3.5 hours everyday
study when you want to but just commit to it
this is just an example
it doesn't work like that because I literally can't control it 
learn to 
well the plan is to phase it out entirely
setting rules like "slack off X amount" is a punishment
rewarding yourself for reaching a goal is good
i dont think you should phase it out either
just tone it down
spending time on youtube and discord is clearly something you enjoy
well it's more like short term pleasure
it's fun in the moment
but then when I'm going to sleep it's just "ugh I just wasted the whole day I hate myself"
Literal addiction 
how old are you neam
19
then its a decade too early to worry about wasting time, you are at uni no ?
as long as you are passing courses and studying enough life is good
if not then you try to study a bit more
i was in the same spot at you, i left twitch and my friends and removed discord to mega grind
the result was i just got more depressed
well what about megagrind + selfcare 
now i still waste time on these fun things but i set study goals
and i reach them thankfully
but i definitely waste time
There is a difference between wasting time and taking breaks 😔
and thats okay
balance is good
if you over waste time then reduce it, dont cut it off
I would like to cut it off and replace it with different fun things
like
going outside
touching grass
etc
I don't play much video games these days
but hey, its your life
I would like to
just dont over stress yourself, you are doing alright
but I just waste my time with youtube and discord too much to play video games
that's what I mean

what does a study account entail?
an alt email where you only watch study videos
and you dislike/tell alg you dont wanna see norm videos
i have one as well
alright I'll just choose one from the 17 different alt emails I have
make a new one instead :3
I need help with physics but i cant join the physics server because i dont have a phone number so can someone help me
this is a late reply but i actually do agree that this can be good for you and is something i started doing in college as well
i mean maybe you dont need to cut it out entirely but yes i agree that for most people and probably you this is not really enriching or bettering your life and trying to replace it with other hobbies is good
i think you can get apps/programs that hard limit the amount of time you can spend on certain websites or platforms
This does not help when amount you can study in discord is restricted..
:weebsrapture:
Bro do not tell me these notes do not look hot
this font is weird
but it's a nice weird

They are my notes
It looks good, while being verbose
Ing, goodbye to ur kneecaps

One kneecap two kneecap ZERO KNEECAP
It’s not my handwriting
LOL MY HANDWRITING
it’s a don’t
Don’t
FONT
fucking hell
See
Good handwriting
Ty
ING wanna continue the proof
I cannot write cursive as readable as yours
That’s cursive?
LOL
can you read this
NOPE
Isn't it roughly in cursive style
i have never written cursive in my life
We learned it in 3rd grade
thats just how my writing is
Maybe I forgot I’m writing cursive
Equicontinuous
what do we think this says
equi is right
Chippi chippi
mine

whats his first name though
my english teacher told me i had the worst handwriting she'd ever seen when she handed me back my exam
i still got 100% on said exam
Hmm, I've never heard of equipotential
why does nobody believe me when i say that my writing is awful
i can read that just fine what do you mean bad???
i'm literally not being overdramatic
it says equipotential, right?
yes
thats just like, shorthand cursive
i literally do not see it lol
What is equipotential
to be fair i am super anti cursiv4
,w equipotential
lmfao
i dont write cursive

i have never practiced cursive ONCE
cursive is pretty bad yeah, idk why we use it
Hello guys
i can’t read my own handwriting
Where can i get a math level like harvard students?
If we are racing to the bottom
harvard
I can join with my handwriting
that is doctor levels of shit handwriting
Stop it.
U can
Graphicize
Sequences
Visualize sequences
By draw tadpole
Every time.
this is readable
O_O who wrote that
Yeah but bad handwriting
Prolly with a mouse
Nah, it’s a pen
iPad pen
Guys can you recommend some basic math books?
Wild
Ok, thanks
literally the only way to parse it wdymmmm lmao
read it one letter at a time starting from the beginning
Aw man, your roasting is on fine level
😭😭😭
IM SORRY I DIDNT KNOW
I genuinely thought since it was so thin and stuff
i think i might write better with a mouse instead of a pencil lol
The joker when he sees ur ass walking in: “ha ha ha haa waa waa 😭”
LMAO
LOL
Ing who did you even think 😭😭YOU LITERALYL REAXTED TOO?!?!?
i'm a cautious person
What is the best way to get a pro math level?
just tested it and i am wrong...
if i'm gonna be roasted, i want to at least know people are laughing in my face
study i guess
but do you see the word now @solar hawk
or just do math you enjoy
in this
🐸🐸💔💔
you are now obligated to reveal your handwriting.
Ok, but i don't have resources
youtube,com group theory college lecture course
google.com group theory book
like i mean, its not like everything costs money
there are plenty of free resources
why is it drawn like that
They should make one for 15-75-90
Why
those side lengths are not equal blud
It isn’t on the test
Common ratio
lmao
It isn’t even for me
Figures aren’t scaled properly, it’s normal ig
It’s for my friends
that kinda stuff messes with me big time
I don’t give a shit about special triangles 
Don’t use your eyes, use your heart
Use trig
ah i didnt know you made it im soryyy 😭
it looks great i was just juicing it up for clout
napoleon
It’s like Jennifer Laurence going around
And
Shit talking herself with people
And then saying I’m Jennifer Laurence
Pls tell me im not the only one who saw that
that sounds like something napoleon would do too
That would be so awkward
Idk much Napoleon
French Person
Prolly dead af
oh yeah uber dead
Ye
@solar hawk round 2
There was like plane
plane is correct
😭😭😭😭🐸💔
maybe me saying that this is for physics would help
line plane
Twirl??
Ah like plane
Fluid
i'm not doing twistor theory
i can see that actually, and its kind of closeish
Girl
Curl
Divergence
Gradient
no
TWIRL 😭😭🐸💔
what does the divergence operate on
FIELD!
there you go
wwas??!
now the second word...
Maybe “wwhy”??
💀
it's a verb
yes
Learns??
is this a children's story
||field curls like plane|| you definitely wrote worse than usual lmao, no way you arent spicing it up
no i did not!
Ayo spicing it up?
Oh
LOL
curls is not right
and i did not write poorly intentionally
"looks"
I already guessed curls
OH curves lmfao
it better not fucking be looks
Laceration
it is!
ARE YOU SHITTING ME
“Use context” BRO
JAIL
WHAT CONTEXT
LMFAOOO

no
the electric field generated far from a flat conductor with a small tip jutting out looks like a plane of charge!
as in, it looks like it was generated by one
Bro started speaking physics
All my ass knows is div E =
Ummmmmm
Something something phi over epsilon
Idk
i just realized a not terrible proof for the derivative of ln(x) equaling 1 /x
x = e^ln(x).
d/dx(x) = d/dx e^ln(x). 1 =
(d/dx(ln(x)))* e^ln(x).
1 = d/dx(ln(x)) *x.
d/dx(ln(x))) = 1/x
tho it only works for x>0 but like
rho/epsilon naught
Yes whatever
no, ln(i) is NOT pi/2*i stop it
What’s naught
0
Bruh
epsilon_0
lmfao

Hard for me to read the Curls part


soon my friend
