serious-discussion

[shut thunder]

Depending on a lot of things, the electric conductivity might be better or worse

[night wadi]

I see

[shut thunder]

just as a quick example, temperature is a huge factor, even if its doesnt really sound like it should affect the inner structure

cold things transmit electricity better

[night wadi]

hmm

this temperature we speak about, what exactly is vibrating here? is it the atom or the electron or the 'proton neutron' nucleus?

and why tho? I don't understand a single fundamental force that would do such work

[shut thunder]

all of them, and temperature is basically just the kinetic energy that stays inside the system

[night wadi]

mmmm

[shut thunder]

like, assume we have a piece of metal at 0K

[night wadi]

yea

[shut thunder]

So its absolute zero, so no energy

[night wadi]

mmmm okay

[shut thunder]

apart from the fact that just being exposed to air would heat it up
If i were to hit it, some part of it would make it sound, vibrate, bounce, whatever

some would stay "trapped" inside

and we consider that to be temperature

[night wadi]

hmm

that is really hmm

right say something hit our atom

[shut thunder]

no particle has a temperature on its own, first, because its not an actual thing beyond kinetic energy

and 2nd, cause it needs somewhere to go to

inside a piece of metal, the "somewhere to go to" would be nearing atoms

[night wadi]

nothing would force it to be non vibrating right, like nothing to stop it from just vibrating in empty space, sort of hard to understand where the vibration starts but it's just vaguely that right?

[night wadi]

I get it but how does this release energy even?

you don't physically touch any other atom

we're just vibrating in empty space

doesn't feel like that releases energy or transfers it

[shut thunder]

im ignoring the fact that the nucleus can vibrate within, but from a full atom perspective

It requires something else to give that kinetic energy

inside a solid, thats any atom on its vicinity

[night wadi]

yea I agree

hmm

[shut thunder]

on a macroscopic scale

[night wadi]

I seee I see

[shut thunder]

maybe your hand when you touch it

[night wadi]

yea

I can understand the vibration phenomenon here, it's just like your surrounding influencing you

and from here, two things

The atom vibrating, does it actually lose energy from making even more atoms vibrate likewise? and then, what makes a nucleus vibrate on it's own then?

[shut thunder]

to the first, yes.

For a whole solid piece, it just averages out all energy

so, once all the energy disperses, it stays at a constant temperature through the whole piece

[night wadi]

I see

[shut thunder]

on the nucleus vibrations

particles have their own mass, and therefore, its own kinetic energy

[night wadi]

hmm hmm

[shut thunder]

some particles dont have mass but have energy nontheless too, lmao

[night wadi]

yea like photons although I definitely wanna debate on that, why waste my time on doing that first before learning something like this

hmm are you saying that

because it has nothing to transfer the energy to right now

it vibrates on its own like with the energy it carries

like a man who's in pressure who stresses out

as he cannot relieve it

[shut thunder]

from a theorical standpoint, a particle

as in, a single point

cannot vibrate, its kinetic energy is just a movement in some direction

when you have a lot of them, then they can clash against each other,

[night wadi]

wait, as in a 2 dimensional point?

[shut thunder]

which we appreciate as vibration

[night wadi]

I see

so because of the 8 neutron 8 electron set up

[shut thunder]

i was just giving the idea, i refrained from saying atom, cause it has an inner vibration in the nucleus too

[night wadi]

mhm yea

[shut thunder]

but if we ignore that, yeah, a lone atom, if given kinetic energy, it will just shoot off somewhere

[night wadi]

I see

now because they can't shoot off in together moles, like atomic solids and proton-neutronic nucleus

they instead vibrate

am I right?

[shut thunder]

yep, like, this is literally the same idea as the wave thing

[night wadi]

right hmm

but

[shut thunder]

Like, at first it will radiate and distribute in a known way, eventually all the distribution will basically turn into chaos, that when looked at from the macroscopic side, just averages to a steady state

[night wadi]

wait yea that's like this

That's so cool

[shut thunder]

In this sort of simulations you can see that

you have a cold side and a hot side

it radiates

and eventually it all averages out

[night wadi]

hmm yeah

now a question, can particles move without vibrating at all, at 0 kelvin

[shut thunder]

its just the same idea as waves dispersing through a medium

Instead of looking at the actual mechanics of it, we care for the part of the energy that we """lost"""

[night wadi]

hmm hmm yeah

[shut thunder]

yes they can, again, temperature is just the distribution of that kinetic energy on a medium into a "locally chaotic" and macroscopically uniform way.

[night wadi]

sort of feels like they should be able to utilize their kinetic energy in actually moving through space without actually vibrating at all

[shut thunder]

But if all the kinetic energy is used in actual coordinated movement, then the object will just move significantly through space.

[night wadi]

but what is the difference, between vibrating and moving in a direction, I feel like even if we utilize a particle to move in a direction, it counts as vibration in a definition way. and it should be like non 0 (0.something ish kelvin)

[shut thunder]

If you think about it in a atom-by-atom basis
All atoms a speed vector.

If all the vectors point randomly, theyll be clashing and the movement of the object averages to 0

if all the vectors point to the same direction, then the object is moving

[night wadi]

right hmm

but, to a physical standpoint, I don't feel it can ever be 0 of anything, temperature and total movement

I mean coming back to gravity here

even if u keep some atoms perfectly still

[shut thunder]

no, it will never happen that you have absolute 0K or 0 Movement

[night wadi]

ah yeah this is what I was thinking

[shut thunder]

just to start with, earth is moving at about 200km per second.

[night wadi]

I just wanted to get rid of the thought that someone in the world thinks it's possible for everything to be mathematically 0 , let alone most people

[night wadi]

I mean yea all of this is really like physical errors and not what's actually impossible

anyways

a lot of meaningful ideas here

I think I'll let it sink in for some time yeah

Thank you so much for all of this

single handedly exponentiated everything I thought I knew

[shut thunder]

imma head off, gotta study for a test

[night wadi]

yeah thank you so much soo so much

[polar temple]

Thanks. I have a delicious gourmet ready to eat in 36 minutes.

[fresh comet]

[unkempt moat]

[foggy meadow]

differentials

[idle steppe]

is that a normal distribution but tilted sideways?

the shape in green

[empty mirage]

To til the normal dis sideways is to either write is as a function of y or to write it as a multivalued function

Roinguas

[granite torrent]

Any graduate students here?

[granite torrent]

I’m wondering how often y’all skip working through proofs and just take statements for granted

[hot lion]

depends, though I will say often the value in proofs is learning the methods used b/c they tend to come up a lot

but if the proof technique is not a standard technique or its from another area where the methods might not be as applicable to your own work or interests, then perhaps you can skip it

though its hard to know if a proof technique is standard when you first see it

[granite torrent]

Yeah I’m having a hard time fine tuning being thorough and going through every proof vs skipping through some stuff to keep up to pace with lectures

Lots of times I don’t know if a proof I’m reading will be illustrative or introduce concepts important for future material, or if it’s just a technical exercise

[hot lion]

this is where a good lecturer helps, although tbh I find most don't really highlight whats important in the way I would like

you can also try to kinda skim and just note what the main techniques or steps used are, and then come back and study in more detail if they come up again

trying to have a kinda high level idea of how the proofs go I think is good

[night wadi]

hey if I were to be learning physics, what are the most important/beneficial concepts in math that would come a long way? I mean ideas that help formulate equations in areas such as particle/quantum physics as well as mundane classical physics' such as developing instruments for human use

in your opinion.

[spring vortex]

linear algebra for QM

[night wadi]

hmm sure

[spring vortex]

a LOT of QM is dependent on that

[night wadi]

hmm well yeah

[night wadi]

right so here, after doing all those statistics and calculus

why is it that a particle would move in the least action possible

actually I think I get it

it's like because you use potential energy and kinetic energy

and that basically narrows it down because of the idea of what potential energy actually is, but I still don't clearly get it

mmmm let me just calibrate over the idea right quick

[spring vortex]

?

[crude pendant]

Has anyone here learned linear algebra in a pure theoretic way (without matrices and determinants)

[glass peak]

Yes (although determinants are useful and used in actual LA, Axler just has an axe to grind there)

As are matrices to be fair, but I know what youre saying

[crude pendant]

I am curious because I am currently taking a linear algebra course and the professor (very good at teaching and enthusiastic) hates matrices and determinants. He introduced us to morphisms, dual spaces, tensors etc

[glass peak]

Is your professor named Sheldon Axler

Or perhaps Steven Roman

[crude pendant]

and although I appreciate this way (and like it very much), i can't find similar resources anywhere else even LADR is unlike how this guy is teaching this course

[crude pendant]

no I looked up his book and my course is even more theoretical

[glass peak]

Maybe Steven Romans book "Advanced Linear Algebra"

[crude pendant]

I will look into it

[glass peak]

Does your course not have a recommended reading list / textbook its following?

[crude pendant]

but one interesting thing to note is that this is an introductory linear algebra course (first course in the undergrad study) for math majors

[glass peak]

I will say, while I see the advantages of doing things very generally for further algebra, matrices and determinants are incredibly useful and nice and not teaching them seems unwise IMHO

Especially in intro LA

[crude pendant]

he has his own pdf

which is more than enough but I am just curious if there is anywhere else where linear algebra is taught in a similar way

[crude pendant]

but once you do it generally isn't it quite easy to pickup matrices and determinants for wherever we need them?

I must admit I like the way it is taught without matrices and determinants and wonder why is this not standard across the world

[glass peak]

Because theyre useful, and I think it obsucates a lot of what makes linear algebra nice in the first place. Im not saying the more abstract approach is bad, but I think its important to be comfortable with both. Im kinda a fan of a very geometric computational first course in LA, followed up by something very abstract

[crude pendant]

fair enough

[vale plover]

how do y'all prepare ur oatmeal if u eat it

[ocean harbor]

microwave

[vale plover]

what else do you put in it

[ocean harbor]

literally anything

especially for milk

[vale plover]

i've had success with salt, pepper, cinnamon, and butter

[junior veldt]

determinants are good but morphisms are also based

[daring fog]

determinants on spaces of linear maps exist as a concept

[warm lance]

area/volume?

[daring fog]

no

[warm lance]

ok

[daring fog]

a map that transforms composition into multiplication and is 1 on some specified mappings

[hot lion]

There are advantages and disadvantages to this approach. Imo it's worth learning in both ways and being able to convert back and forth

[idle arrow]

Nope that doesn't in exam

[ocean harbor]

[cerulean sinew]

hola, alguno habla español?

[north topaz]

sí, qué necesitas?

[cerulean sinew]

De casualidad sabes de algun grupo en el que hablen español? hay cosas que entiendo aqui pero como no entiendo bien del todo el ingles hay veces que me pierdo

[north topaz]

ay, desafortunadamente yo no sé

quizás puedes buscarlo en el Discord search?

[night wadi]

a good old trustable person on the internet told me that it's not actually what a particle takes AFTER we see what it takes, but all possible paths it COULD take (like before it even starts moving to position b)
now somewhere in my mental intuition (not Institution, intuition), that raises some questions as to why are we even caring about all the possible paths, and then they proceeded to tell me that the paths would just cancel out to the path of least action.

now somewhere in my mind again, what exactly is cancelling out, if it really cancels out, what's the intuition behind it? is it just cancelling out by vectors pulling the particle in each direction? and again, what exactly is action.
and this cancelling out to the path of least action, how to explain it mathematically? Are you gonna just show the proof to a few directions cancelling out out of the infinitely many, and then proceed to use something like summation and say it's correct for every cancelling out that they result in least action

[idle steppe]

because for the path with least action, the first derivative is 0, so taking a small step away, the output is only proportional to the 2nd power and higher ones, of said small step. the arrows near the one correspoding to the path of least action constructively interfere

im not a physicist tho

[night wadi]

mmmm

[idle steppe]

thats for a classical system

[vivid halo]

there is a bit of a leap of faith one has to take when thinking about path integrals like this (these things can be made mathematically precise in some situations, but in general it's very hard and a major open problem in physics)

but very roughly speaking what is happening is that you are computing some path integral \int exp(iS(\phi)) d\phi where S is the action of some possible path or trajectory \phi, the exponential exp(iS(\phi)) is the phase

what is supposed to happen is that the phases of those paths or trajectories \phi which are very far away from those of least action should interfere destructively, whereas the phases of those paths or trajectories \phi which are very close to those of least action should interfere constructively and these should be responsible for the main contributions to the output of such a path integral

what typically happens when you try to make these things precise is that such path integrals should localize on the critical points of the action, so the classical solutions to the Euler Lagrange equations with action S are responsible for the leading term in the perturbative expansion

[cinder zephyr]

matrices are useful in many ways and it'd be hard to get around them

determinants come up naturally once you look at higher level multi-linear algebra

A good book may be Friedberg, Insel, and Spence

I like it better than Axler's text anyways

[opaque hazel]

🩵 Discussy 2 should be THE general disscusy (⁠人⁠ ⁠•͈⁠ᴗ⁠•͈⁠)

[foggy meadow]

This is the real general

[fresh comet]

would discussion become the discussion-2 then?

[foggy meadow]

discussion is like a grease trap.

[brave flare]

hell yeah grease me up

[near badger]

@pulsar crown sorry to ping you, but the channel closed by time i saw the reply. For making B = 1 (the easiest choice), can we do that ONLY if we know all the other coefficients (in this case, the only unknown being A)?

for eigenvectors

[pulsar crown]

did you ping the wrong person? If my admittedly poor memory is to be trusted, Ive never even chatted in this discord server. Although, if you send me the context, I can try to answer your question.

[sharp mulch]

@hardy vessel

[acoustic goblet]

Anyone wanna check out and gimme their thoughts on this cool series I made?

[ocean harbor]

sure

[acoustic goblet]

I cant send photos is it alright if I just dm you?

[ocean harbor]

no but send it in #chill

[acoustic goblet]

Alright i sent it in chill

[nocturne tusk]

hi discussion 2

[north topaz]

@blazing depot ay, have you watched Building Beautifully's train racing video?

[fresh comet]

[blazing depot]

Oh snap, I have not

I didn't even realise that channel had train racing videos, sounds neat.

[north topaz]

https://www.youtube.com/watch?v=9qROFCd6gK8

[blazing depot]

I'm guessing you are also a Sydneysider?

[north topaz]

nah

[blazing depot]

o

[raw narwhal]

i think my parents are failures they chose to have me because they need help paying rent cause theyre so poor so i give them money constantl $10,000+ i get really upset at my situation when i compare myself to my peers because im looking at everyone else and its the exact opposite; how it should be because i never asked to be born and if i did i sure would of liked not to be born into this poor family. everyone else their parents covers their tuition for them and they dont have to help their parents with rent its pathetic i told them "i have never seen or heard in my life someone else in my situation where the parent has to depend on the child why should that be the case? i dont owe you a single thing i never asked to be born into this poor family" its an actually pathetic situation

[jagged forge]

sigh

what is pathetic is you begging for attention for multiple days in a row

[echo pumice]

crazy

how about you give me that 10k so they dont bother you anymore

[lunar ruin]

Entirely self inflicted problem. Just don't send money. Problem solved

[tawny knoll]

😭

I agree

We'll split it 5k each

[neat lintel]

there’s plenty of people whose parents put them in situations like this

some parents never really got their shit together all their lives, they scrapped it out

don’t feel bad for yourself, you can help once, but be explicit, no more money is coming afterwards.

if they can’t appreciate the gift money, then they’re not worth your time

[echo pumice]

how about 70 and 15 15

ong

[neat lintel]

blocked

you just exposed yourself

[agile fiber]

@night wadi please don't verbally abuse other users in this server

(mod ping deleted)

[tawny knoll]

GHOST PING

Oh

Oh

Nevermind

Ok

[tight copper]

you must be really starved for attention man

ill give you 15 seconds of my life because i feel sorry for you putting yourself at such a low level

[pale monolith]

lip skin tastes so yummy

[hardy vessel]

the vid established that A had to be 0, it's not unknown at this point
if you have other arbitrary coefficients, you have much more leeway in picking a basis
here your eigenspace is 1d though, so just picking B = any non-zero number will give you a basis of it

[cerulean sage]

man ur not gonna believe me i dreamed about your username IDK WHY 😭

[hardy vessel]

[marble nova]

hello

[timid arch]

ladies and gentlemen

I present to you an ancient unsolved riddle

99 mathematicians and 2 physicists are stored in a room

one physicist is bored and needs to go home to eat dinner

how many mathematicians need to leave

to make the room consist of 89% mathematicians

[warm lance]

1?

the two physicists are partially mathematicians

[sharp mulch]

#❓how-to-get-help

[timid arch]

both are wrong

[warm lance]

,calc .89*99

[fathom swallow]

Result:

88.11

[timid arch]

slightly chuckles and strokes my chin beard

this is why the ancient riddle is unsolved

[warm lance]

,calc 99-88.11

[fathom swallow]

Result:

10.89

[warm lance]

10 mathematicians. and one of the physicist is 89% mathematician

[timid arch]

I will now reveal the answer

the physicist who was in a hurry leaves the room

[warm lance]

oh wait

does the other physicist become a mathematician

[timid arch]

no no no

once a physicist always a physicist

[warm lance]

,calc 100/101

[fathom swallow]

Result:

0.99009900990099

[timid arch]

the occupations are unchanged

now

||the ratio is x/x+1||

||where x is the amount of mathematicians||

actually

I will not reveal the answer

but there’s a great hint

awaiting further guesses….

[warm lance]

||you can use spoiler tags||

[timid arch]

good point

[warm lance]

https://youtube.com/shorts/6w-MZ0fjS9A?si=O2Wue7hyUd4mHmEp

[idle steppe]

91? cuz then you would have 1 physicist and 8 mathematicians and 8/9 ×100% is 89%

[near fox]

So there are 10.89 mathematicians and 0.11 physicists?

[warm lance]

yea didn't really work

[acoustic ferry]

heya guys

yall think its possible for me to complete 30 lessons of math in 4 days of time?

[warm lance]

i didn't understand the problem

[near fox]

You can have 10.89 mathematicians if you allow it

[warm lance]

7-8 lessons per day?

[near fox]

If it's some kind of highly abstract math you're doing

[acoustic ferry]

ehh nahh

[near fox]

Like turning spheres inside out type stuff

[warm lance]

I'm about to sleep soon

[acoustic ferry]

its basic 10 th grade shyt

[near fox]

Damn

Okay

[warm lance]

,ti

[fathom swallow]

The current time for usrcard is 23:46, 15/11/2025.

[near fox]

,ti

[fathom swallow]

You haven't set your timezone! Set it using the interactive timezone picker with ,ti --set.

[acoustic ferry]

like trigonometry , quadratic equations etc etc

but im fr scared lol

[near fox]

I haven't got that far yet

[acoustic ferry]

im tryna get a 95%

oh nice

[near fox]

I kinda stopped math

I did music all day today

[acoustic ferry]

oh nicee

[near fox]

Right

[acoustic ferry]

i love music

[near fox]

I lovemusic

XD

It's my favorite niche genre

I don't listen to mainstream

[acoustic ferry]

oh nice

[near fox]

Are you from India?

[acoustic ferry]

ye

[near fox]

Knew it

[acoustic ferry]

how ?

[near fox]

You've got an indian accent

Lol

[acoustic ferry]

BRO WHAT

i literally typed and u said "indian accent"

[near fox]

Yes because everyone speaks with an accent

[acoustic ferry]

ok bet lemme become frech rq

french*

hon hon hon baguette

[civic pivot]

what's my accent

[near fox]

You can't if you are Indian

[acoustic ferry]

je suis un personne

et toi?

[civic pivot]

it takes one to know one

[near fox]

@acoustic ferry I mean your English has Indian tone to if

It*

[acoustic ferry]

oh alr

[near fox]

It's super easy to spot an Indian from text alone

[acoustic ferry]

could be

i did not even type proper sentences lol

[near fox]

Lol

And you say stuff typical to indians

That's the giveaway

[acoustic ferry]

kk brotha

[near fox]

I have a weird us/finnish/Russian accent

[acoustic ferry]

i bet its the "oh nicee"

[near fox]

Yep

[acoustic ferry]

[near fox]

Indians say: ohk, okh, tnx

or oh nice

[acoustic ferry]

stereotype goin crazy but mostly true

[near fox]

If you check indian comments on yt

[tawny knoll]

Oh nice

[near fox]

That's when the accent is the strongest

[acoustic ferry]

[tawny knoll]

Accent and comments???

[near fox]

yes

[tawny knoll]

Accent is the way you speak...

[timid arch]

hello everybody

how are we all doing today

[tawny knoll]

Do you mean grammar 😭

[near fox]

Yes

Grammar

[acoustic ferry]

good wbu

[tawny knoll]

Fair enough but I'd say most non native speakers type that way lol

[near fox]

am ohk how're u doing

Just finished listening to Alan walker

Aap kese ho bhai

/s

[ocean harbor]

what that way?

[tawny knoll]

Whatever he was talking about

I'm too lazy to type it out 🥀

[ocean harbor]

ah I have missed that iguess

speaking of that, I'm also non-english speaker but I don't write the that you'd see!

[glass peak]

The biggest give away that people are indian online is always the use of the word doubt lol

[tawny knoll]

Oh hmm very true

[tawny knoll]

You're special

[velvet dagger]

I was gonna say "I feel like I say the word doubt a non-trivial amount" but I have an honorary Indian passport so

[agile fiber]

the specifically indian use of doubt is noun def. 2 here https://en.wiktionary.org/wiki/doubt

[glass peak]

Surely verb defintion 2 is used outside of Scotland

This cannot be another "outwith"

Like, I am Scottish, so ive just never thought about it before. But surely the phrase "I doubt well make it in time" is just a perfectly standard thing to say?

[dry cargo]

i doubt this..

[analog abyss]

That’s more meaning 1 imo

(To lack confidence in)

[glass peak]

I dont see how its different to their examples of:

"so examples include not just "I doubt he's lying," but also "I doubt we'll arrive before dark.""

But even those look perfectly normal to me, like are those not normal things to say?

[analog abyss]

But the line between 1 and 2 is blurry at best

[icy heron]

Yeah, looking at the example given in verb definition 2, he says "I doubt I have slain John Comyn", meaning he suspects he has slain him? This is kinda the opposite of the usage of "doubt" I'm familiar with

[analog abyss]

Bleh I can’t read negatives

[analog abyss]

Yeah this

[agile fiber]

according to the usage notes the scottish usage is to say "I doubt he's lying" to mean you suspect he may be lying, whereas outside scotland it would mean you suspect he's not lying

[glass peak]

Oh yeah I was reading that wrong. Yeah then in that case I dont think ive heard anyone ever use the word that way

[lean canyon]

yo

tf is this

we discussin literature now

[mystic hill]

Grammar, but you get the gist

Its not math

[timid arch]

pompous laughter and strokes my chin beard philosophically

members of this community

I present to you an unsolved ancient riddle

99 mathematicians and 2 physicists are stored in a room

one physicist leaves the room because he needs to tend to something important

how many mathematicians must leave to make the room consist of 98% mathematicians

the difficulty of the riddle is not to be underestimated

[idle steppe]

50 mathematicians need to leave

counterintuitive i know

because then u have 49 mathematicians and 1 physicist

49/50=98/100 so 98% is mathematicians

[ocean harbor]

https://tenor.com/view/kitten-scream-cat-scream-cat-kitten-scream-gif-4797886964431233753

[timid arch]

correct

it’s…

gulps and is barely able to speak

the answer is correct

50 mathematicians must leave the room

is startled

for centuries the riddle has spurred the most fiery of debates

culminating in the crucifixion of pythagoras himself

and today I stand behind a computer screen

staring at the correct answer to the riddle

I need time to think

good night everybody 😴

[violet wraith]

...

[teal niche]

@dusky tinsel aerospace engineering is good especially for money but it does come with difficulties as do many degree courses. You have to ensure you dont put anything behind and that your always on top of work. It also requires a lot of social skills because you do a lot of presentations and group works which can fail you. Overall I enjoy it but it is slightly challenging.

If you enjoy maths and enjoy in depth learning of pretty much ALL air/aero vehicles then its very good

[deft kite]

how do i get help

[dusky tinsel]

@teal niche oh thank u, I was in doubt if I want do aerospace engineer or maybe Physics/Mathematics

[dusky tinsel]

#1021175428326633542

[dusky tinsel]

really I am in doubt

[teal niche]

i mean it depends on your future i guess, i personally wouldnt do maths if you want to get into Aerospace though. Physics is still a good counterpart to Aerospace engineering

It depends on what you want to do with your life to put it simply

like i want to be a pilot or get into the defence/war sector so i chose aerospace with pilot studies

[visual breach]

How do I restart my life got too old without achieving anything

[teal niche]

if you ask me, getting old is the achievement bro

some people dont even get old

[visual breach]

Hmm maybe

[dusky tinsel]

this put me in a checkmate, I love mathematics demonstrations, Physics, military planes, rocket.

at same time, I love scientific research, what is nice for physics

[teal niche]

alot of maths will be covered in engineering or physics

[dusky tinsel]

atomistic

[teal niche]

i prefer engineering maths because the maths is purposeful not just theoretic

i can see it working in day to day things as im learning

like bridges, footpaths, planes, helicopters, rockets, gliders, kites, cars, buildings it all becomes numbers too me now

[dusky tinsel]

the beauty of engineering and physics, its see the math on the life

[dusky tinsel]

thats nice

[teal niche]

it is nice its enjoyable to know

also if you tell people "i do aerospace engineering, yeh its just rocket science" you get hella aura

[teal niche]

^

[dusky tinsel]

ohhhh

u are the first person than I talk in my all life that study aerospace engineer

this is for me infinity aura

[ocean harbor]

how old? it really depends on what you want to achieve. i have classmates in their 40s and 50s who are 1st years in my current major. they prove that restarting your life is just a matter of deciding what's next. it's never too late to achieve something meaningful 🙂

[visual breach]

Thanks, I should not beat myself up too much

[topaz trout]

does anyone else get good grades on math homework but do not as good but still passing in a midterm.

[dreamy ore]

should i put a full stop at the red point or not?

[agile fiber]

yes

[dreamy ore]

oh
thanks

[agile fiber]

grammatically the equation is part of the sentence and should be punctuated as such

[dreamy ore]

right
so i should put commas if commas make sense there

[agile fiber]

yes

[dreamy ore]

thanks

[neat lintel]

they just need to drop each other and they'll learn physics. so only one needs to be dropped a few times, and he leaves in a stretcher. The other one was trained from him so we have 97 mathematicians and 1 physician, and 1 both, meaning we have 98 mathematicians and 2 physicians and it is 98%

aren't i smart

[idle steppe]

i thought that too until i learned about some of the theoretic stuff

[idle steppe]

"physician"

[neat lintel]

ok so like how did newton become a physician

[idle steppe]

physician means a medical doctor

its physicist, not physician

[neat lintel]

potato potatan

you still get the point

[idle steppe]

yeah

[neat lintel]

i rekon my answer's better

less people have to leave

[idle steppe]

nah

[sharp reef]

what to learn

very bored

[idle steppe]

group theory

[jovial echo]

Differential Geometry

(use it in physics)

[idle steppe]

https://www.math.colostate.edu/~pries/467/Judson12.pdf

[steep moth]

@tropic pivot damn I didnt know how fun bullying is 😭🥀

[tropic pivot]

Why did you bring me underground to this #serious-discussion? @steep moth

[tropic pivot]

who bullied? Me?

[steep moth]

nah, the bananan

[tropic pivot]

I'm not the mod bro. Any saying for me?

[steep moth]

[mellow karma]

It's my first time getting high honors in my entire life and I had a 97 (a +5 from my initial grade from the first quarter) in maths which might let me enter the top 10 highest math grades in our batch out of 400 students

I study in a science high school in the Philippines it's quite prestigious and you get more school hours than usual in science highschools so it's quite impressive

This math group thing helped me a lot the help channels thing really helps a lot of the Helpers are really patient Man I can't express enough how much I love this group.
I had 94.8 ave this quarter and 94.3 last quarter (not quite high honor) I think it's a guarantee for me in my last two quarters of my Senior year to get high honors unless something happens like our research group received a final verdict of rejected or something

[gritty heath]

Computing* the continuous discretely

is a book you can read

For fun

[timid arch]

and perhaps it has become incumbent on us

to recognize the androids as a new form of intelligent life

faints and dies

[idle steppe]

are u gonna be a math major or nah?

[hollow crest]

hii

[tawny knoll]

Hey!

Who is that character in your pfp?

[dawn thorn]

is this ur alt account

[humble path]

What are the best ways to self study pre-calc?

[dry current]

heelo

can sm1 help me ?

[ocean harbor]

#❓how-to-get-help

[ocean harbor]

read books or watch videos

[humble path]

I already do that!! 🙂

What books do you recommend?

[ocean harbor]

I don't remember what book I used to learn precalc

since I learned precalc and calc at the same time during hs

<@&268886789983436800> ad

[quick beacon]

@tender zenith no advertising

[ocean harbor]

I used this book

[quick beacon]

@tender zenith if you're looking for people to fill out your survey you can try /r/SampleSize instead, if you haven't already

[ocean harbor]

advanced functions means precalc in canada so ur welcome to use it and if u want to learn about calc in this book, free feel, just sharing what book I have used

[spark light]

hey guys

[cerulean sage]

yo

[worldly horizon]

un-yo

[cerulean sage]

https://tenor.com/view/can-i-get-uhhh-uh-uhh-uhhhh-uhhhhh-gif-16027964425850179471

[worldly horizon]

[cerulean sage]

https://tenor.com/view/crying-cat-sad-cat-me-when-i-dont-get-orod-tickets-gif-13399313231964052110

[worldly horizon]

why kittie cry

[cerulean sage]

why so serious 🗣️🗣️

[worldly horizon]

🥀

[mystic hill]

When will we take over from discussion pals?

There is no slowmode hindering us here

[rose ridge]

Yeah that's not happening

[worldly horizon]

@radiant sparrow you would not believe the heart attack I had when I saw I had a notification from you.

[idle steppe]

do practice problems

[radiant sparrow]

Hahah am I really that scary I'm often around lurking, I would have said "always" but that's not as accurate these days

Hope you've been chilling though

[worldly horizon]

You could be the nicest moderator in the world, if I see a notification I’m going to freak the hell out lol.

[worldly horizon]

[radiant sparrow]

That is fair enough, can't blame ya there

[radiant sparrow]

And happy to hear

[solid yarrow]

Bananone

[sleek acorn]

how do u calculate the path integrals? especially in principle of least action. what exactly are the path integrals doing here? and how?

[sleek acorn]

@shut thunder know something about this? I'm somewhat contradicted intuitively that math predicts a physical path to be something with some crazy idea

[bright pagoda]

Can u send a n example?

Please

[shut thunder]

cant tell about how to strictly do em, cause to start with, i dont know

[sleek acorn]

hmm I mean, there's a lot of steps mate I can't just tell it to u in a sentence or a few

[shut thunder]

But the vague idea is that its like a line integral

done over a lot of paths

and using a prob. distribution to average them out

Action is used here to know which are more probable than others

Still, consider, path integrals are not** totally perfect rn as a theory, its just an aproximation

[sleek acorn]

I meannn... that's nice but it's impossible to know a line integral of a one dimensional direction towards anywhere in the universe right

[sleek acorn]

not only is it constantly changing, we don't know what even is there

right?

[sleek acorn]

hmm I see

but the principal of least action, is it confirmed

[shut thunder]

fields are a pretty non-intuitive thing to start with, given, you are always working with things that arent truly particles, but instead with wave equations

[shut thunder]

rn theres two leading theories in physics

special relativity and the standard model

relativity explains gravity, and is basically the furthest extension of "classic physics"

So, any event on the macroscopic level, as long as objects go, can usually be explained by it.

[sleek acorn]

Right hmm

[shut thunder]

In relativity, yes, the principle of least action applies

in the standard model > and therefore quantum mechanics

it works*

as everything else in quantum physics, it boils down to probability

So, yeah, you can be finding paths taken that dont respect the principle of least action, but the average of all of them (and therefore the most common) will do.

[sleek acorn]

hmmm

[shut thunder]

if you wanna start getting the hang of this concept, actually, id advice you find yourself some info on brownian motion

[sleek acorn]

what is brownian motion

in layman terms

[shut thunder]

random motion

but hard™ (continuous)

iirc it started from the concept of discrete random walks.

[sleek acorn]

right

what other type of motion is there

other than brownian

[sour jay]

apart from it's application in physics least action is also a very neat optimization technique

[shut thunder]

might surprise you but
non random

its usually given a lot more names

[sleek acorn]

not random?

[shut thunder]

yk, predictable orbit paths
geodesics
parabolic throw, etc...

[sleek acorn]

how does that work out

[sour jay]

say you want to find the curve which occupies the least amount of surface area for a given boundary condition, you can apply least action and euler lagrange to get the answer quick

[sleek acorn]

it's vaguely not random tho

like so vaguely

[shut thunder]

lmao

[sleek acorn]

in our 13.9 billion light year particle cloud, nothing will be truly not random right?

or does something NOT RANDOM exist

[shut thunder]

i appeal to the reductionist approach

[sour jay]

this would depend on what you would define as true randomness

which is not trivial

[shut thunder]

mfw the cow is spherical

[sleek acorn]

something that you cannot know of with certainty even if you can formulate an idea of where it might/can/is exist(s)

[shut thunder]

some people would disagree

There is a nice approach to this in Information Theory

[sleek acorn]

say the exact position of a particle, say true 0 kelvin. these are something u can formulate but u can't know it's gonna be for sure,
Even if u wanna know the 0.03848294 kelvin or a position of a particle with enough accuracy, it won't be possible.
Like even the accruacy of a position of a particle is not something u can truly know ever

[sleek acorn]

right then what is random and not random then?

[sour jay]

Even positions are measured with respect to some reference, without a true reference we can't exactly know where something is either way

[shut thunder]

Recalling to the thing i just said to information theory

A truly random set is that which cannot be reduced by any sort of algorithm, which implies that reducing it, makes you lose information
On a more human language, a random string of 0s and 1s is pure randomness

It happens to be, that for humans, randomness is meaningless

[sleek acorn]

without a true reference certainly you cannot know anything yeah.
But even with a reference, say from a particle's perspective, nothing is truly stationary and no other particle's position is something u can know to the true extent of

[sleek acorn]

really?

[shut thunder]

Theres no information encoded in a random noise image, just black and white pixels distributed somewhat uniformly.

[sleek acorn]

I can support this idea

actually a very good idea

now when has something ever has gotten meaning though?

in our world

[shut thunder]

And 0 randomness is just blatantly obvious information.

say, a string made purely of 1s

therefore, useful information must lay somewhere in the middle.

it happens to be that relativity is very close to the low-side on the randomness scale, again, through reductionism, you can get really interesting results, that, for anyone's purposes, are right.

[sleek acorn]

true, but the blatantly obvious information like a string made entirely of 1s , is in boiling water to come down to the idea of humans. what is humanely meaningful and meaningless.
In the physical world nothing really exists as a string of 1s tho does it, it's just atoms giving out their photons in a peculiar, truly random way just as ever.
how did they do that? well comes down to us again.
Do you have proof that a non random motion, which has meaning, exists other than humans percievance.

And for this argument, I'll go easy by not saying that nothing can have meaning and meaning doesn't exist.
If you show me in the physical world that something even vaguely seems to have meaning, I'll agree with your other motions

[sour jay]

This would be a more philosophical dilemma than a physical one, the very nature of experiment and measurement fails because the measurement itself alters the system we're trying to observe, so while it is true that we can never truly know where something is, we can always know where it *was * in a general area to a pretty good accuracy
Though what was your original question

[sonic sequoia]

what are you guys talking about

[shut thunder]

No one is counting the mol amount of molecules throughout a metal piece times its molar mass to find the whole mass.

[shut thunder]

more like, philosophy on math

[sonic sequoia]

(just joined the server)

[shut thunder]

thanks for coming, diddy

[sleek acorn]

"to a pretty good accuracy " That you do not even know what the accruacy is to the true extent.
which again, is random just as predicting it with 0.001% accuracy

and it's not truly philosophical

[sour jay]

So would you say if I detect a photon on a sensor of area 500nm^2 the photon could have been outside that area?

[sleek acorn]

right but here's the thing, where does non random motion exist? in classical / quantum physics.
Let's not try to sum it up by huge billion atomicular masses, because those are just extra numbers multiplied to atomic behavior

[shut thunder]

physics is an empirical science

[sleek acorn]

no

the photon certainly would not be over (y axis something x axis something z axis something)
And you can narrow it down pretty decently

[shut thunder]

the word certainly is wrong btw

[sleek acorn]

but not till true certainty in any physics, because of the tiny disturbing movements it constantly makes (random, brownian motion)

[sleek acorn]

I mean

let's not take some things to a

Literal sense

but like

yea you're right

[shut thunder]

thats what i meant, nobody cares if theres a remote posibility.

prob. distribution of a particles position is non-zero everywhere
But you wont be counting down your luck on a tennis balls phasing through a wall through quantum tunneling

[sleek acorn]

nobody cares yeah for us even a ball rolling down the hill is not random motion

but it's like random motion at it's core, u won't be able to measure a position to true 100%/ you won't know the exact extent of the accruacy you measured the position of a particle

[sour jay]

Again what's true certainty? Our knowledge extends to our models, beyond that we are blind, we can't know what true certainty is just as we can't know what the true underlying principles of the universe are, but we do know things up to a certain accuracy of which we are confident

[sleek acorn]

it's not even like pi computing circles make every guess innacurate cuz of pi having mathematical infinite digits

but it's different, impossible to know even if a math perfectionist

[shut thunder]

on this analogy
this is what classic physics tells you over a rolling ball on a hill

[sour jay]

that's clearly a wall smh

[shut thunder]

this is what brownian motion tells you

[sleek acorn]

I'm saying, even in our models, with perfect mathematic calculators. we can't know true certainty that just brings us to a randomess (also this is not in qm for better understanding)

[shut thunder]

Supposing you dont know how the hill is distributed to its own perpendicular
aka it has bumps

[sour jay]

That's what I also said, our models will always be imperfect

[shut thunder]

how bumpy determines how much it can deviate

[sleek acorn]

That's not classical physics, that's human, error filled, not taking into the account of 13.9 billion light years span of particles forces and all fundamental forces vanished,
mere measly money gaining physics

classical physics tells us about particles as well

[shut thunder]

so, yeah, classical physics

[sleek acorn]

that brings in randomess at it's core even without quantum electron clouds

don't they

[sleek acorn]

this is just brownian motion in any physical world, with a better accuracy than the second picture (fun fact you don't even know to the true extent that you're 100% true that it's a better accuracy but you guess it with decent measurements, an educated guess that God would tick right probably)

[sour jay]

I'm not entirely sure what you're going about here

[shut thunder]

recall

[sleek acorn]

okay so classical physics makes particles into a fixed point/ball like physics right.
so do you think that brings in certainty?

[sour jay]

as in?

[sleek acorn]

as in something that you can know the position, movements of till the true extent

[sour jay]

No like certainty in what sense?

[sleek acorn]

say the position of an atom

till 100% accuracy

[shut thunder]

Lemme ask you, by watching the ball, are you sure to a true extent of its current position?

[sleek acorn]

me being sure is a human error, because I make decent mistakes in calculation that far out wit physical impossibilities

[sour jay]

Classical physics is just an idealisation to describe physical phenomenon, and it's only a description, any model will always fail at some point lol

[sleek acorn]

I'm not saying that it fails

[sour jay]

well by observation it does

[shut thunder]

turns out that a omni-present being is also tied to error when observing things

[sleek acorn]

yeah

yeah that's my point

even God can't know that the ball rolling down the hill in perfect straight line, is truly non random motion

[shut thunder]

And yeah, we have a theory to predict how far off he will be

[sleek acorn]

and he can know that it is not

[sour jay]

I think this is some heavy philosophy stuff

[sleek acorn]

right but that's also not truly accurate because well, I'm just being a pesky tantrum thrower here but

I appreciate your accuracy

but how does this prove that something can not be random

it's just gonna be the similar equivalent of something being random right

if you get where I'm coming from

[sour jay]

Nobody said it can

Randomness is not well defined

[sleek acorn]

yea now there's the atomic model, where does randomess come at all now if u multiply it by billions of atoms as well

If the atomic model can't be not random

[sleek acorn]

sorry for confusing, I meant not randomness, where does it come from

[sleek acorn]

right

how is it

not well defined

it's just multiple e defined

but like all of them are saying quite the same thing

[sour jay]

Yeah that's a problem

[sleek acorn]

I feel like this tho, u can tell me wrong

[sleek acorn]

yea but I feel, personally, all of them don't contradict each other and say the same things.

and wait hold up

if randomness is not defined correctly

then how do non random motions exist

[sour jay]

Not exactly, we can't measure randomness per se, we can't comment on how something is more random than something else, it's very subjective and mostly a human construct

[sleek acorn]

it's all brownian random motion isn't it

[sour jay]

it's like asking why things are the way they are

[sleek acorn]

right

I mean like no no stop

this is exactly the equivalent of saying "meaning doesn't exist and is human perceptionally" which I warned u about

[sleek acorn]

but we're skipping over a few things over here and allowing some things to be taken as meaning

say in all of the logical meanings randomness has, if some motion, violates even some thing in those meanings.
Say "predictibility" For example, I will agree that non random things exist

[sleek acorn]

I'm not presenting an argument that says randomness cannot be differentiated or etc.. Because of humane minds and it doesn't exist in physical world

I know that argument can be true but

we sort of wanna make it convenient to ourselves here and argue

That's philosophical

I'm tryna, like mess it up for both of them here (both physics and philosophy)

[fresh comet]

welcome to the mathcord @sleek acorn @sour jay

[hollow ginkgo]

No slow mode here, it seems

[sleek acorn]

hey yeah uh we're in the middle of a debate about how non random motions exist ( I on the side that it's all random brownian motion)

and I assume we both are not that higher up in education (maybe him/her I'm not)

so mind helping us if you can/want

[sour jay]

I don't think this conversation will go anywhere from here ngl cause I'm out of arguments and the nature of this discussion again is very philosophical, and again I really think without a concrete definition of random we can't proceed
Also yeah using your arguments non random motion as in the motion we predict using our models can't exist cause we can't account for everything, say a gamma ray engulfs the earth so the ball rolling down the hill doesn't even make it, but like that's very subtractive from the nature of physics as an empirical science

[sour jay]

thank you

[sleek acorn]

me too, yeah it seems philosophical but I'm not really saying that something could happen that stops the ball from rolling perfectly. more saying it in rigorous physics terms that the ball cannot roll perfectly because of tiny movments by particles at core that are unpredictable.
Along with the positions

[sleek acorn]

more like what is happening instead of what could happen

Have a great day though

lovely person you are, god bless you with your life ahead

[sour jay]

yes, and we can account for that to a certain extent and in turn make qualitative and quantitative assessments which tell us how well the model fits to actual reality, again not perfectly but enough for us to appreciably reproduce the same situation again most of the time

you too

[hoary cargo]

Hey anyone here?

[ocean harbor]

no

[true zinc]

!da2a

[quasi jetty]

No need to ask “Can I ask…?” or “Does anyone know about…?”—it’s faster for everyone if you just ask your question!

[worldly horizon]

No unfortunately.

[lofty mango]

Hello

[finite flower]

Hey guys my math teacher said that the 2 geometric series formulae (when r >1 and when r < 1) are completely different and It is necessary to use the "right" formula unless you get the wrong answer. He also said that a geometric progression can "never have a common ratio of 1". What do yáll think?

[ocean harbor]

https://tenor.com/view/anime-wave-hatsune-miku-gif-22384247

[unkempt moat]

If it has a ratio of 1 it’d just be 1 1 1 1 1 forever

[night wadi]

@wide ridge

[unkempt moat]

Which isn’t really a progression

[wide ridge]

ok

[night wadi]

right so what about this? From where are you getting the angular word

[finite flower]

I disagree

[wide ridge]

@night wadi why is this important to you

[sudden bone]

intuition is good for visualization

[wide ridge]

questioning the existence of every fibre of reality isn't gonna make your life better

and will slow your rate of learning

[night wadi]

I mean it's not but if you call something that I think is not what you should call it, it's your responsibility to explain why you're calling it like that.

[unkempt moat]

Tell your teacher that not me

[sudden bone]

sollely using intuition is not recommended

[wide ridge]

scientists and mathematicians sufferef for their whole careers to make this shit easy to understand by revealing the basics you're asking for, so just understand it the easy way!

[night wadi]

intuition is just a complex word for saying understanding what's going on

it's not like taking a frame of reference (the atomic quantum physics) and applying it to everything

[wide ridge]

but who are you to think it's not what yo should call it?

[night wadi]

like but I'm not actually calling it just momentum

I'm just asking it why it is called angular momentum when it does not spin

and the angular part only comes by definition when it spins irl

[wide ridge]

Al I'm trying to help u here man

[night wadi]

😔 I don't mean to impose my ideas on something tho as what you might be assuming.

and if I understand why it's called angular momentum, (the significance and meaning of it)
then I'll understand more things betterly yeah

[wide ridge]

just look these questions up on google

have a good day

[sudden bone]

uh, how'd you understand you would get a basic idea

[night wadi]

yeah um, you too.

[night wadi]

mmmm yea but it's sort of related to picturing the setting of the concept in my mind

I don't think I'm a very perfect definition giver but

something related to that yeah, just how well you get it and how likely are you to get more things in it meaningfully

[spring vortex]

comes from the (wrong) preconception that it is due to rotation of an electron

that's what bohr's model does

and that's where the term angular momentum comes from

[night wadi]

so it's wrong

and if I call it momentum

makes just as much as sense

yeah thank you

took a lot of frenzy to get this answer as u can see from the above mssgs

[outer crown]

1. Transcendentals = Forms in Nous (Plotinus V.1)
2. Sensible world must participate in them (Plotinus III.2)
3. Participation requires descent of Soul (Plotinus IV.3)
4. Descent = divine presence in matter
5. Only a hypostasis can descend personally
6. Plotinus: World Soul is impersonal
7. ∴ Plotinus fails
8. ∴ Only Incarnate Logos grounds transcendentals

The point is plutonius understood to ground transcendals goodness, virtue, joy and mainly truth there needs to be an incarnation look at this syllogism and how closely it aligns

1. The Logos is eternal God:

"In principio erat Verbum, et Verbum erat apud Deum, et Deus erat Verbum".

(L)(L = Logos ^ Eternal(L) L = God).

2. All things are created in and through Him: (Vx)(Being(x) → Created(x, by L)). Hence: vx(Logos grounds x).

(vx)(Being(x)→ 3l (1 = logos(x) A 1 € Logos)).

3. The logoi (Aóyot) of creatures - their rational essences, their metaphysical forms - are pre-contained in the Logos as eternal archetypes:

4. Incarnation is not contingent upon sin but necessary de ratione rerum (from the very logic of things): Since the logoi require embodiment in time to communicate divine intelligibility, the Logos must enter into temporality to fulfill them. Thus: (vI)(1 e Logos Fulfilled(1)
   Incarnation(Logos)).

@gray island even plutonius philosphically reduced the incarnation dont see how thats possible if the idea is untrue

[tropic wagon]

i mean imagine if it had the common ratio of 1

a, a, a, a, a....

its js a

not a geometric progression anymore-

wait wouldnt a GP w r > 1 js diverge

or is it js abt the nth sum

or r u not even talking abt sums

[pseudo gull]

hola

[shut thunder]

To know how an integral domain works you need at least a basic knowledge on what a ring is.

[pseudo gull]

ah yes i know what a ring is

[shut thunder]

Okay, so you know / have a slight clue about the ring axioms then

[pseudo gull]

ah yes

so its addition

[shut thunder]

Well, a commutative ring is a ring into which you add the property of ab = ba

[pseudo gull]

and multiplication over associativity

[pseudo gull]

yess

[shut thunder]

Well, now, there is a certain series of rings which we call integral domains

Basically, theres no zero divisors

or in human terms

no pair of non-zero numbers will have 0 as its multiplication

[pseudo gull]

how can two nonzero elements be zero tho

[shut thunder]

you know about congruence classes, right?

like, mod n and stuff

[pseudo gull]

no+

oh yess i know that

OHHHH

[shut thunder]

2 * 2 = 0 in mod 4

[pseudo gull]

we use mod gotcha gotcha

[pseudo gull]

yesss

[pseudo gull]

i forgot about thag

[shut thunder]

I wont give you the precise "why"

But this has 1 implication1

that work as an iff
so it goes two way

All non zero numbers have a multiplicative inverse.

[pseudo gull]

[tropic pivot]

Have you you reached the artinian and noetherian part?

[shut thunder]

mb i mixed them with UFD

[pseudo gull]

no

[tropic pivot]

Shit I forget full form.

[shut thunder]

and thats about it with integral domains

[tropic pivot]

Unique factorization domain?

[shut thunder]

All elements have a unique ""prime"" factorization under multiplication

the prime thing is just a recall to Z elements being the product of prime factors

thats how i learnt it, some people skip that

[tropic pivot]

I forgot the definition too.

[pseudo gull]

aye that was a nice recap

thanks

[shut thunder]

np

[shut thunder]

for congruence classes (so mod), all mod p classes with p a prime are integral domains

Iirc that fact is part of the proof for Fermats Little Theorem, but i might be wrong

[pseudo gull]

wdym by p classes

[tropic pivot]

What your year in graduation or post graduation?

[shut thunder]

So, mod n

but n is a prime number

aka, 2, 3, 5, 7, 11, etc...

[pseudo gull]

ohhh I don't really remember it by names

so have difficulty in recalling like that

[pseudo gull]

niceeee

[tropic pivot]

May you help me with field theory stuff?

[shut thunder]

If you draw up the multiplication table for Z/pZ youll see that the only numbers that give out 0 are those with 0 multiplying

[frigid oyster]

pdiddy classes

[shut thunder]

ik nothing about it tbh

im mostly self taught

[tropic pivot]

You haven't read Galois theory?

[shut thunder]

nope

Im tackling an abstract algebra book by myself quite slowly

[tropic pivot]

Sorry bro for hassling you. Keep it you're going all good.

[manic valley]

no need to even check it since Z/pZ is a field

[tawny ridge]

There French here ?

[glass peak]

I’m guessing if you don’t know Z/pZ is an ID you don’t know that it’s a field

[manic valley]

well if you know that pZ is a maximal ideal, then you don’t need to reason about prime ideal or ID. so you can know about special case without knowing about more general case

[rose ridge]

@cerulean sage

Frenchiest french

[cerulean sage]

lmao

[mortal chasm]

Mdr

[undone rapids]

Yo

@jovial forge

Is EE basically applied math

[toxic obsidian]

Yes

[willow herald]

Does romanian count?

Also a romance language

[verbal quest]

https://tenor.com/view/woman-cries-in-romanian-cry-sad-tear-gif-11864378

[manic valley]

why would it be?

[vast wraith]

the second part (abt the number 24) is so trippy https://www.youtube.com/live/LKcYqMY234I

[raw narwhal]

what happens if i fail a college class no credit

[glass peak]

You’ll probably need to check your own unis website

[raw narwhal]

should i withdraw from the class

before failing it

[glass peak]

I would speak to your personal tutor rather than us because it’s hard for us to say.

I would imagine yes, if it isn’t worth any credits I don’t see any harm in withdrawing but a fail does look bad

[raw narwhal]

i have no tutor

[fathom lance]

why are you failing..

[toxic obsidian]

Yes

[toxic obsidian]

You will just have to retake the class

[ocean harbor]

@rose ridge hi since I know ur already familiar with mesh and nodal analysis from grade 11, would u mind helping me with a question?

for ur reference, I didn’t take any science courses after gr 10 in hs, so everything is new to me and my prof is so bad at teaching 💔

[violet skiff]

My math teacher was psychotic enough to write out the test on paper when the internet went out 💔

[true zinc]

That's not "psychotic"

that's a very standard procedure

[willow herald]

Why not, they both come from latin 🙃

[manic valley]

as well as Spanish, Portuguese and Italian

[willow herald]

Exacly! :D

Include everyone

[rose ridge]

I would recommend watching videos on it to make it easier to understand there's alot of videos explaining it simply

[wintry shuttle]

how do i lock in for my exam thats here in a week

im actually so freaking locked out its insane

[ocean harbor]

I knew u would say this 🙄

I think I get it though

[ocean harbor]

get off discord and start locking in

[rose ridge]

There's so many videos that can explain it better than i can

In english I can't really explain it well

[ocean harbor]

no it's just making the 2 equations doesn't look correct when I'm doing it and my prof is just have it memorized, which is kinda annoying

[brave flare]

https://tenor.com/view/tsubame-amaya-gakuen-idolmaster-idolmaster-umamusume-pretty-derby-umamusume-gif-16495327355463111326

[ocean harbor]

first step is hardest when do it wrong and the rest are fine

[rose ridge]

hmm yeah you kinda have to memorize it

Bro what does they pay him for isn't he supposed to teach

[ocean harbor]

memorize this? no u need to make equations for this as an example

[ocean harbor]

no idea he used to be chill guy when first sem started and I think I'm changing my mind 💔

I hope I don't have him again for ac

also

Nodal and mesh analysis are generally not taught in grade 11. These are advanced circuit analysis techniques typically covered in the first or second year of a university electrical engineering curriculum.

[rose ridge]

I think organic chem tutor has explanation video on this topic

[rose ridge]

That's true i only learned basics

[ocean harbor]

ah that makes sense

[lofty mango]

Nah ig in 1 st sem they taught me thevenin, nortan etc and I'm not even eletrical engineering student

[ocean harbor]

they probably just taught u the basics and tell u things gets later on

[lofty mango]

I don't wanna do deeper in this basics was enough for me to bang my head

[river wedge]

Pessimistic man

U knows philosophy here mechavalisim

[mystic hill]

Most of us don't respect the orthodox; It's a Me- I mean Math server.

[lofty mango]

Dw we use pde there

[mystic hill]

Because it's a pain in the hindquarters most of the time

[river wedge]

Hello broo

Bro u are muslim broo

I am also brooi

Where are u frm? Broo

Nice 👍

[ocean harbor]

no u got it wrong here bc they were flexing on me 💔

#discussion message

[mystic hill]

Unfortunate; I apologixe on their behalf

[ocean harbor]

i asked all ppl i know who took physics in gr11 and they never learned it until entering engineering so i was just making sure 🙂

[pastel quarry]

hmmm

i seeeee

studiess

is anyone here good at english IB

?

[ocean harbor]

no

[pastel quarry]

why

[ocean harbor]

bc im bad at it

[pastel quarry]

ur in ib?

[ocean harbor]

try a stem server though

[ocean harbor]

nah but im bad at english in general

[pastel quarry]

oh

shi-

[ocean harbor]

not an english speaker

[river wedge]

Why almond are foolish

[mystic hill]

I don't really know.

[restive rover]

allahu akbar

allahu akbar

allahy akbar

[worldly horizon]

God is good i think

[neat lintel]

Why in a math group we are chatting about God??

It's a "math" discussion channel

Not a philosophical or religious group

You understand what I mean mi Amore

But the channel is for mathematics

Anyway continue

[true zinc]

Because this is not the mathematics discussion channel, if you looked at the channel description, you would see that this channel is for the "General discussion of any (appropriate) topic, no particular focus on mathematics."

[neat lintel]

What the hell fr

[wild lantern]

Yeah

You as well

[river wedge]

Helo

[atomic citrus]

erm guys can someone help me with a ctf challenge

[true zinc]

Go to the CS server

or the cybersecurity discord

[atomic citrus]

ok

[lament peak]

[wraith magnet]

what is it? also is it from an ongoing ctf?

[atomic citrus]

yes

[wraith magnet]

dont ask for help if it's an ongoing ctf.

[atomic citrus]

alright. its my first time tho

i was confused

thanks for info

[wraith magnet]

yeah, wait until after the ctf, then read some other people's writeups or ask for help

[bronze pelican]

Hi wiwi

New winter banger is a banger

[solid yarrow]

Hello :3

[wraith magnet]

haii

https://cdn.discordapp.com/attachments/1033504060487250050/1439064722887676004/togif.gif

[solid yarrow]

https://tenor.com/view/fox-let-me-in-clawing-at-door-knocking-at-door-waiting-at-door-gif-10636413725109957056

[vast wraith]

why ai slop when: https://youtu.be/cso87inf29Q

[ocean harbor]

cat fish

[ocean harbor]

<@&268886789983436800> ad

[quick beacon]

Try /r/samplesize, we don't allow surveys here

[ocean harbor]

lab just ended here feeling good

[steady root]

ok

[fierce olive]

MODS SLIME HIM OUT

[sharp mulch]

[dim forge]

bruh what?

[fresh comet]

[near fox]

Mclovin

[solid yarrow]

da goat

[cosmic apex]

General discussion of any (appropriate) topic, no particular focus on mathematics. If you need help with a question, read ⁠❓how-to-get-help.

This channel should have higher-quality discussion than ⁠chill. Please try to act professional or at least civil.

[neat lintel]

I understand bro

[cosmic apex]

nice bro

[near fox]

bro

[shut thunder]

resuming, space is mostly empty/void/things photons dont interact with

we are absurdly massive and dense.

[night wadi]

"we" are massive, but "we" are mostly atoms and other particles and not electrons, they're incredibly tiny

[night wadi]

so why doesn't something like this happen?

[shut thunder]

compared to gravity, electromagnetic forces are really strong

[night wadi]

wait hold up, what's an electro magnetic "force"

[shut thunder]

like, iirc, the constant for electromagnetism is about 8 orders of magnitude compared to the one from gravity

[shut thunder]

there are 4 fundamental interactions

1, gravity
2, electromagnetism
3,4 strong and weak nuclear

[night wadi]

I know the other 2 but weak nuclear and electromagnetism never really got to me

what is an electro magnetic force?

is it something like the electro magnetic wave/photon, pulling other electrons?

or electrons themselves pulling other electrons

or is it electrons pulling electro magnetic waves

[shut thunder]

Electromagnetism is a really packed phenomenom, simplifying it down a lot, its basically the interaction that dictates how electricity and magnetism work, considering that the two are just two ways to present the same thing

When we say electromagnetic force

we are essentially talking about electric attraction

Take 2 electrically charged objects, and they will excert a force over one another

[night wadi]

what is an electrically charged object

[shut thunder]

If their charges line up in sign, they repel
if they are opposite, they attract

[night wadi]

every atom has electrons

what does charged mean

[shut thunder]

electrons are electrically charged objects

[night wadi]

So everything is electrically charged

mmm?