#serious-discussion
1 messages · Page 374 of 1
Or just use "they"
You have quite the variety
Hi
Elo
I thought I'd try.
Again I like lattice modles, so a lot of stuff like this can come up with them.
What's the connection between your lattices and Cannon-Thurston maps?
Is anyone here from Singapore?
no
Uhh, more so trees and Cannon-Thurston maps if anything.
Oh sure, I guess limit sets of representations from the Bers slice are dendrites, or injective images of R-trees
Yeah, that's one way to look at it.
I'm in this weird space between curves, trees, graphs over trees, and encodings. Which is cool and all, but like very deep if you let it be.
I'm still stuck at the surface and haven't defined anything too deep yet, because I have to work my way up to it properly.
Yeah I mean these things can get very involved very quickly. R-trees in general are wild, but there are pretty strong structural results once you impose a group action in the background. Geometric group theory is able to say a lot about R-trees and graphs over trees and other spaces you seem to be interested in
What interests me are just the embedings.
Like a topology or flat space can be represented by an alphabet and a curve. And a point on that curve can be a point on a lattice or tree. This allows me to talk about a topology easier, and make me wonder about different embedings using things like a mixed radix.
Or even Roman numerals for example VI = IVII = 4 but symbolically VI isn't equal to IVII. So, what's the curve or topology this represents?
I can start to ask things like this.
I'm not sure I follow, but seems cool
It's a weird concept, but how you encode your data matters is literally the whole thing.
Like if IIIV = VIII = 2 then is this a way to represent f(x) = abs(x)? If so then I can talk about the absolute of x just with a random different encoding. On the surface this seems boaring, but what it imply is something also deep.
A mathematics book costs $8.90 and a science book costs $6.90. Calvin has $100 and intends to buy a minimum of 5 books for each subject. Find the maximum number of books he can buy for the two subjects
I need answers
That's tragic @foggy meadow
For some reason this Kleinian groups remind me of the Prüfer group.
Interesting. I'm curious why, since Kleinian groups are usually far from abelian. We have a good handle on what abelian subgroups of Kleinian groups look like
There almost like 3d apollonian gaskets, but I don't know how this is exactly space filling on a sphere. Or space filling at the boundary, but it's certainly interesting.
disoneguy do u mind helping me with a question
#❓how-to-get-help Idk if it's like a simple math problem then 50/50.
this one from Calegari's post is an example of a plane in H^3 arising from a complete hyperbolic structure on a 3-manifold fibered over S^1. The theory tells you that it meets the boundary sphere in a space-filling curve. This is a finite approximation to what the space-filling curve looks like
That looks more space filling, but what if I don't go to infinity, but only can limit towards it?
Then you live on the embedded plane
But the Cannon-Thurston theory says that there's a continuous extension to the boundary so it's ok
dang what level math is this
This is hyperbolic geometry and Kleinian groups
Well then what's the embeded plain?
The embedded plane is all of the yellow and brown stuff in the picture
It looks disconnected because of how the program decides to approximate
Passed highschool math and some colledge prolly.
Well, now I have a complicated task.
A good case study for some of this is Schottky groups, which is how he generates the universal cover of the handlebody inside H^3
;-;
Well the point of having a space filling curve like a z-ordered curve is so I can use that embeding.
Basically my question becomes, what's the encoding of this curve?
If I can't use it for encoding then it becomes somewhat useless for me.
I don't think I understand what you mean by encoding a curve. The curves and pictures above arise naturally from discrete subgroups of PSL(2, C)
Are you trying to see if a given curve arises as the limit set of a Kleinian group? That seems really hard
What's the discrete subgroups of PSL(2, C)?
That's the definition of a Kleinian group
Is it a finite group?
It can be, usually isn't
Okay, is there a link to the finite ones?
Hii
The finite ones are exactly the finite subgroups of SO(3)
So they're either cyclic, dihedral, or the symmetry of a Platonic solid (so A_4, S_4, or A_5)
There's a lot of interesting geometry around the finite ones too though, I think the thing to look into is the McKay correspondence. I'm not so familiar with this story, but I think the idea is that once you have a finite subgroup G of SL(2, C), you can form the quotient C^2 / G which is identified with some hypersurface in C^3. I guess the hypersurface singularities reflect the structure of G or something like that
but anyways the finite subgroups of SO(3) can be classified by hand just using orbit-stabilizer. That's a fun exercise
whoa this is an awesome illustration
i rly haven’t looked at 3d hyperbolic geometry at all
Looking at the finite subgroups of SO(3) there are the Regular tetrahedron, Cube or regular octahedron or Regular icosahedron. All of these shapes are made out of squares or triangles which can self tile. But around their vertices there will be slightly higher density. The icosahedron might be the best to use, but still will be off slightly in the long run. And then there's the fact of me having to figure out what rotation operations equate to. Each one will have it's own regular sort of boaring space filling curves then.
Idk what to do now. Like this just is the same as me saying "a point on the circle is just a point on the boundary of a quad tree." Which is sort of underwhealming.

It's really amazing, I didn't know much about it until this past year. Something people talk about a lot is the relationship between 3d hyperbolic geometry and 2d conformal geometry at the boundary. This really does get exploited a lot in the subject and is incredibly fruitful
i should pester you more about conformal stuffs
I'm guessing this is used in physics a lot?
I have no idea. I think the AdS/CFT correspondence has something to do with this, but possibly in higher dimensions. In 3d it's especially strong since conformal geometry in dimension 2 is none other than complex analysis, which is also 2d hyperbolic geometry by uniformization
Huh.
I'm going to have to learn more math, and probably sets in such to talk about the things I want to talk about.
I feel like it should end up being simple.
There's a lot out there to think about
Well I'm more so trying to program stuff and finding the best approch to do that.
Interesting
Type ADE stuff is what got me interested in rep theory
ADE stuff is what got me interested in rep theory
Awesome
this isnt specifically what got me interested but this is such a good reason to be interested in rep theory
tfw all other dynkin diagrams are quotients of ADE by graph automorphisms
I'm a little insecure about the university I'm attending; it's ranked 30th in my country, it's not the best, but was the one that best suited my context. Could you help me "rating" the list of subjects I'll be taking throughout my undergraduate studies?
What's your major
That's the problem, in my country there's no such thing as "major or minor". I'm studying mathematical engineering, (I'm looking for an outside perspective. I have a list of all the courses I'll be taking; I can share it here if that's appropriate.)
idk, well here is the list, https://ctxt.io/2/AAD4ewykFg
any feedback would be very helpful; some courses don't make much sense, they could even be considered filler, idk, in total my degree last 4 years (I'm in my second year)
Some look legit
I don't understand how would you take measure theory if you don't have any analysis
I know, it's strange; maybe they'll include something like an introduction? who knows... how would you rate it from 1 to 10? I'm looking to do a master's degree in the future to make up for it a bit.
Are you in the US?
Mexico
Oh I see
Yeah idk anything about mathematical engineering but I can say things about the math courses
I see numerical analysis and similar courses there which are very useful to know if you want to do applied stuff
So that's a good sign
Yet again another homework I could only turn in partially complete. Well, I did turn it in fully complete, with only 2.5/5 questions I'm sure I even got right and didn't just get
how does this keep happening? this is even with extensions.
This is what I do with the disability aids and shit. With tutors and help.
what happened
Turned in an assignment complete but botched
damn bro what disability was happened
Well, actually the accommodations I have are only really for the tests, I think... I never actually talked to disability services in a while
but still, I keep failing in the same ways over and over again
there's "improvement" but not enough to matter
realsame
keep trying bro
i am so cooked for discrete maths
talk to the services if you need help
I wonder if help will even matter at this point, it's all 6/10s for the scores for the past whatever hws
I believe in you!
You can get those full marks!
I just had an insane thought
you know how water goes through A LOT of treatment before its safe to drink?
why not just boil it
and add flouride after
filter out debris, boil, add flouride
boom, water
Hazardous solvents:
You think there is only bacteria in there?
I did 
for what x is the following statement true?
x^2 - 13x + 42 = 0
you have a calculator?
do mode 5 3 and enter the numbers
it is called mode 5 3 around the world it seems
casio supremacy
?
mode 5 3 is what you use on a casio to get the roots of a polynomial
anyone wanna solve it
*quadratic
@honest thorn are u here
Ok for the first one isnt that just euler
no, euler is umm wait i guess
but his method does not add angles does it
i mean , like basically, we do the XY rotation, and then we do anothe one in XZ but this time by the tilt angle of the plane
We use the same method to rotate
should i explain further
Idk maybe im misunderstanding
yeah
ok so if u are confused with my explanation, what should I elaborate for u?
essentially, we do one planar rotation by theta and then do 1 or 2 subsequent rotations by alpha and beta which are the tit angles
tilt
this was the first method, and it works well for single point rotations, but the setup process kills it when used for multiple points around the same tilted plane
ok whats the other?
we need to calculate 2 radii or 3 depending on the numebr of tilted dirrrections and 2 or 3 tans and then just 2 or 3 adds
..............................
The other one is based on unit vectors
ok
wait
we use this formula found off the web:
Pnew = Pold + ((cos(theeta) - 1 * u^ +sin(theta) *v^
we kind of drag the projection of our point by theta on the tilted plane using u hat and v hat the basis vectors of that plane
so i belivee u hat is 0 degrees and v hat is 90 degrees on that plane
and we find u hat and v hat by starting out with a unit circe on XY of either 0(for u) or 90(for v) degrees
using tan
but we normalize x and y so r = 1
so then, we perform 2 planar rotatiojs, one in XZ using the first tilt angle of the tilted plane and then in YZ using the other (if given) tilt angle of that plane
how do we perform them, well we just take the existing angle which is generally 0 the first time around and if we do it for the second time for like a double tilted plane, we calculat eatan. add the angle to be rotated to it. Calculate tan of that new angle and update the poins.
Oh and yeah we take the normalized values of tan i guess and and have the answer interms of X an Y or X and Z
or rather X and Z or Y and Z
we do this twice for u hat and v hat
and use the formula
you got all that
@honest thorn
I'm not an expert but i feel like your rotations are still in the euler coordinate system?
not really
they are similar to matrices if anything
this formula is actually a variation of the rodrigues projection formula for abitrary planes
sooooo... what do u think?
Oops im dumb
isnt it really hard to calculate rotations here compared to other systems
why, whats the problem
once u get up and going no
you just use the fomula
and done
I suspect it is faster than matrices, in rotations where u rotate a bunch of points in the same plane
and that to me... is all that matters
.....................................................
i just wanted your thoughts on this
if u do have esperience in rotations and control theory, could u provide some advice on this
for rodriges you need like a bunch of trig stuff, divisions, ect ect
matrix multiplication is pretty cheap compared to that
this is not rodrigues, it is a varitation based off that concept
yeah but
once u find u hat and v hat
its just 13 ops or less and really just 2 to 3 if used with SIMD and FPU addition optimizations
should be competitive with matrices
i suspect at-least
..............
any other things i should look into
dont you still need tan?
I actually wasn't aware of matrices or of this formula at all until a couple of days ago when i saw that i had already found a solution for u hat and v hat and just had to figure out how to implement it
But other than that, this badboy and most of my work has been completely indepndent and without any research
yeah
you do
but you only compute it twice or thrice ONCE fo ru hat and v hat
then, that just apply this formula with u and v hat for every point
.....................................
i mean we can just compute cos and sin to once
and then use those for the formula again and again
yeah but you only do it once
and normalization actually makes it faster
it is much much faster than computing the basis vectors and the right rotation matrix which u also do only one. That takes about 100+ ops. This, just 30
once
...........................................................................
honestly i think my real question has gone un-answered for the most part
also doesnt normalisation need a square root
not really
yeah sorry im not an expert
no no
i just wanted to ask if i should continue
do you think i should, or should i learn the basics first
like linear algebra, quaternions, and vectors like properly
that is the real question
yes for sure
its like 30 ops or something
btw
so i should continue this project?
wait exactly 30 i just looked it up
ohhh, i get what u are saying, i should learn the basics first
yeah
probably
i don't think the methods are faster tbh
yeah
they are in like 2 to 3 constrained scenarious
but i need to properly test
might be with heavy optimization
probs not best at everything
but like good for 2 to 3 applications
good luck tho!
so i know it sounds stupid, but i have been thinking about formaizing all of this and publishing online on Xarchive, I mean there is a lot more I have not talked about, including potential applications of this in deformation and gravity wells
particularly documenting all of my work
and also seeing within the next 2 months, if i can optimize and produce something meaningful
like, i only worked about 60 hours on everything, i think if i put in like 50 more, i can actually get some results and provide meaningful optimizations
.......................................................
if u know someone who i can contact about rotations, hit me up
If it's written up well and you find something why not
Also doesn't the second method exist already
So what's the difference
but the unit vector particularly u hat and v hat method does not for the most part
like how to find it
that is the key
cuz it uses up my previous 2 planar methods
and it treats 3d rotation not as projection but as planar rotations
What's the input output
and at the very least, optimizing all of this, not done before at like a wide scale cuz everybody uses matrices
input output?
wdym
i mean u input u hat, v hat and theta and your point
and the output is just the updated point - after rotation
How do you get u hat v hat and theta tho
by the planar rotation method i told u about
earlier
like ok wait
for u hat, u start of at (1,0,0
and then rotate this in the YZ plane by alpha
if the tilted plane is tilted in 2 directions, then u rotate the updated point by Beta the second tilt angle in the XZ plane
and u get u hat
for v hat, u start of at XY angle 90 and do all the aforementioned steps
boom, done
you do have to use like 2 tans, and maybe 1 or 2 atans in between depending on the tilted plane but yeah this is the gist of it
you can just use a vertical normalized lookup table for that
............................................
if u know someone else I can talk to about this, could u provide me their id or username or whatever @honest thorn
oh yeah and theta is just provided by angle we want to rotate by
@honest thorn could u help with that
very inaccurate???
what?
no no
it is but i just want speed
that is all i care about here
and u can kind of interpolate between increments of 0.0 and 0.01 degrees and make it more accurate
it is faster than manual calculation using either the taylor series polynomials or other optimized formulae
that is what matters
then why not use the rotation for a rotation matrix
???
cuz like the formula itself is faster
and lookup just speeds up the preparation thing
i mean it is still 30 vs 100 for the vector finding phase
so it does not really matter
plus, the setup costs dissolve to obsecurity over time as more points get added
.............................................................
ok it was nice talking to you, I am sure I wasted your time with this. Srr if I did, I just needed someone to talk to this about, but if u could just do the other thing too - like provide me any useful contacts that might help me with this, someone who is experienced in rotations, that would help out a ton, thanks again a lot. @honest thorn
what about the contact thing
I have no context but I see rotations and some difficulty and matrices. Usually most of the difficulty goes away when using quaternions.
Too long of a conversation for me to go back and understand but hopefully this helps.

Hi ngroupoid
howdy
just had to use an ex's birthday to log into an old account 
Top 10 anime betrayals
Quaternions are literally as easy as rotating objects in tears of the kingdom
Engineers :
quat is just axis-angle
Yeah, you just exp(axis*angle)[x]
Where f[x] is fxf^-1
holyyy those actually look so good
thanks xD
my minecraft is so basic😭
does it cost money to add that quality?
wdym cracked
wait what tlauncher
Yes lol how else would I have it
😭
ohh damn i didn’t know that was possible
so you can play mc but you can't connect to
a lot of servers because they don't allow "cracked" clients
Yea makes sense
you can change ur username and such to anything but like yeah
they dont allow them
anyway, since you have genuine mc
download modrinth launcher
sign in and all
yess alr thanks for telling me🙏
pretty good tool for modpacks and such, even if you don't use modpacks just download the fabulously optimised modpack
it'll like quadruple ur fps
and ur pc will thank u
well makes sense
mhm
:))
if u want shaders, like, ur gonna have to fisrt
unlink the instance (which isn't hard js go to settings)
(the instance is that particular like, uh, launch)
and then you'll just have to go to "browse content" (aka search mods) and go to shaders
and pick one you like
🙏 🙏 🙏 alrr
the rest is simple it's in minecraft's video settings
ye
prolly tutorials for this too check em out
anyway im gonna go eep now, cya
yep true I will
lmk if u need help
alr cyaaa
<@&268886789983436800>
Don't advertise here
thanks james munkres i understand this perfectly
the subspace one makes sense enough but i'm still in the process of trying to parse the order topology diagram
Is this graphic a comparison between the induced order topology and the subspace topology?
yes. after some pondering i did get it
hello guys
today I did a huge math exercise. legit took me one hour or more
I really need to study math better
I love the word ponder so much for no reason
yeah i don't think this diagram is great at explaining it 
not sure how one would even make a better one though
After practicing a bit more u will be able to solve it in 20 minutes
I
Hi everyone,
I’m looking for the solution manual for Applied Numerical Methods with MATLAB for Engineers and Scientists (5th Edition) by Steven C. Chapra.
My exam is tomorrow, so I’d really appreciate any help. Thanks in advance!
if my balls were to smack against another persons balls at 150 mph what would happen
are you indian
by chance
Blud.

Does your body get dragged at that speed too?
If yes both of you turn into chunky salsa
search it up on google should be first result
that's what I hope
my university entrance exams are in June so..
Hey everyone! 👋
I create short math animation videos using Manim (similar to 3Blue1Brown style). If you’d like, I can make a clean, visually engaging video explaining any math concept of your choice (up to ~2 minutes), and even include your name or branding in it.
If you're interested, feel free to DM me — I offer this for a small fee depending on the request. Looking forward to working with some of you!
@viral python bhai meri 12th start hogyi hai but mera 11th kaa 4-5 chapters kaa backlog hai like ellipse hyperbola limits and derivatives statics probablility and solution of triangles
damn bhai
physics mai bhi and chemistry mai bhi
ellipseand lcd and aod very imp
orobability bhi hai but if you undetprstand pnc and set notations then easy hai
aod toh 12th mai hai
pnc mai thodi tough lagi thi but hai completed hai
oh mujhe nahi idea zyada mein toh order mein karta hun
hmm
English please
its not necessary is it
what order mann .......
Beta I said English please...
there's no such chapter like aod in class 11th
arey matlab algebra phir calculus phir coord aur last mein vectors
maine aise kiya

aur haan sry sabse pehle trigo
uhhh......... u build different
arey bhai yahan pe laude lag rhe hain😭
kyu
u already done in order
and that;s not the order ig
bhai yeh chemistry tough kyu hai
bhai physicsal chhodkar saaare tough hai
mein koi coaching nahi kr rha hun na
kittabon sai
bdia hai bhai
marks nahi aa rhe hai lekin😭😭
maine try kiya tha but muje rotational motion kaa kuch nhi smja toh maine lectures chose kare
practice ...jst practice
haan rotational thoda tricky hota hai
bhai for advance everyy topic is tricky
chlo mai jaa rha muje chem grind karni hai bye
acha mein chala sone
el nivel :v

Hi aki
hai
oh well convo is over
:v
Hey Deltoid :)
Chat
Chat Chat
Is there a formula I could use to calculate the radius of a circle needed for a staircase to come out at the same spot
Bro that makes no sense.... OKAY LOOK
I dont have image perms...
No it does
Like a spiral staircase?
ye
Im in mc and im trying to make a spiral staircase that has a certain height seperating it
Wait idk if thats possible without weird curves
I wanted 15 blocks but I dont think thats achievable
You can loop but it wont be the same dieection
yeah so ima just do more than 15
You’d be turned 180
I really like all "X are Y, but not all Y are X" explanations.
"All strictly dominant strategies are the best strategies, but not all of the best strategies are strictly dominant," kind of carried me.
For example, if I (and an opponent) were to pick a point from 1-10 and whoever staked the most territory from the edges to the closest claim, then picking 3 doesn't dominate 2 but it is better.
I almost like to think of it as a matter of game balance. A strategy dominates when it is better in every situation, and thus needs to be nerfed (so every strategy remains useful).
Although you might need to replace strategies with something like classes in TF2.
question, after learning discrete math, what should I study next? options, algorithms, linear algebra, advance probability and statistics?
Linear algebra
ty
but why? the truth is, I'm undecided between algorithms and linear algebra
Because linear algebra is infinitely more useful imo
You'll use it in algorithms anyways
So why not get a starter on it
gotcha gotcha, tysm for the advice, I was thinking of using the book Linear Algebra Done Right by Sheldon Axler to study a little more in-depth
Make sure you learn determinants properly before reading Axler since it's known for doing such a horrible job
@zealous garden Do you want to hear about tree thing?
Well dang.
🌳
One day someone will help me with this idea, but for now it's just me on this island alone.
guys has anyone here tried salvia?
it is preety safe
yeah that's the beauty of it
ig... depends what u see
no you're not doing it right if you're not being a complete fucking moron about it
my homie was being chased by a shark
i was the shark
i chased him to his class
and I was staring at him through the window
and he started to cry... the professor kicked him out

i guess the main reason why i want to take it is to let my mind run wild
for once
alcohol isnt enough
no no it's fkn stupid
not as wild as Mister Window over here
lmao
everyone turned to zippers for me
and I took off in a full sprint behind the classroom bungalows
i just want to have this otherworldly experience end never be the same again
zippers sound mid
yeah thats kinda meh
in other words... there's people that wear us as clothes
it was just my mind accepting that
try something else for what u are looking for
like maybe meditation
hm
but salvia won't introduce u to nothing but fears u can't accept
could work
but its harder
to master meditation
than jus ttaking something
i guess it is more rewarding, though
who says salvia sightings arent real
salvia and meditation is both make-believe
tricking of the brain
its jsut 2 different methods
our fears can never be real only overcame
wdym
it's an illusion like a dirty trick into bringing something to life
the purpose of meditation is tricking your brain into thinking that everything is ok
so you re saying that being zen is the natural state
of the mind
hmmm... maybe this is where my opinion really kicks in, it's just a belief of mine that it is. Confusion is caused to only perplex us or destabilize.
yeah but the "zen" isnt really found in the universe
i think zen comes from accepting that the world is chaotic
because people look for the universe out there when the light pours in
and learning to live with that chaos
that's a great point too
what does this mean
your eye only receives light
hm
ok
so you would say that meditation is the best way to create a strong mind
or?
I would say it's like eating ur vegetables and drinking water, vital, but not the whole equation.
and drugs
are junk food
and soda
fun until u get diabetes
at the end of the day
there arent any humans who have mastered their mind
so me wanting this is kinda unrealistic
still
i do wish to get as close as possible
somehow
i encourage u... thanks for the chat gtg 
it was older edition
How to master your mind?
this is what i have been trying to find out for man yyears
i dont know the answer yet
it seems that there are some periods in which i am close
?
but then it all goes away
basically you control your own thoughts, feelings
Oh damn
I can control my thoughts but I can't control my feelings
If I'm angry.. I remain angry
yes
Anger is the most powerful emotion in me
you have to reach a state in which nothing bothers you anymore
in which you are the master
This is not possible
you control everything
I have job, rent, girlfriend, parents, friends.. these things bother me
I'm angry for about 15 minutes then I'm calm
thats preety good
But I can't control everything
do you feel like you have a strong mind?
Yes I believe in that
great
i dont
this is what im working on
i think i will try meditation
because i knoiw
that my mind is capable of a lot of things
but im actively restricting it
for some reason
becuase im afraid
or ashamed
i need to get rid of the barriers
in general, a mastered mind isnt influenced by the outside
you notice the outside
and you decide
how you want to feel
about it
yeah thats a sign of a weak mind
Another superpower I have is being comfortable alone
With no smartphone or other stimulation
Yes
True
see?
this is where we differ
in times of trouble
i dont have such support
i think a girldfirend is a huge plus
yes, sometimes it can be annoying/ a lot of work
but it is also rewarding
so i think it's worth it
it definitely helps in the journey of having a strong mind
It is
I've spent years in search of gf and the grind definitely paid off 10x back
yes
good for you
1 day
i will also be satisfied
although im trying not to make it my primary goal
because then there s a risk to get distroyed
i wish to view it
But ur right about developing a strong mind. It's a good thing
i think its the most important thing
i guess when i said that i wanted to try stuff like salvia
i wanted to take the easy way out
but true mastery isnt achieved quickly
Salvia isn't a good drug to do
instead i think i have to work on it a lot
yeah
i had hoped that it somehow opens my mind
but i guess it has more negative effects than positive ones
If u want to open your mind you need shrooms or lsd
@inland raft
Those will reveal your inner world to you
thank you
Salvia is a scary traumatizing drug
so i've heard
It's not even a psychedelic. It's a deliriant
ok
then i will look for those
and start meditation
it's such a pity that they are illegal
good advice
@inland raft if u have a bad trip on lsd or shrooms and u manage to stay strong and calm then that's a big achievement
so you're saying that this should be my goal
nah actually the goal would be to stay strong while on salvia
i think if i can do that it means i've mastered the mind
That would take an insane amount of self control
so this is what i should strive towards
but first i will try meditating
and if i can get my hands on some shrooms or lsd
i will give it a go
yeah but how
I've managed to turn off anxiety whenever it happens for me
yeah thats impressive
i dont know how to do it
like
i have anxiety
in the most normal circumstances
like
in everyday scenarios
I don't have it because I've got a hormonal error@inland raft
Whenever my body is supposed to release adrenaline, it releases feel good hormones instead
I feel a warm high for a brief moment that completely turns off any anxiety
An anxiety kind of adrenaline.. not anger adrenaline
Hi, can anyone provide the solution manual for Applied Numerical Methods with MATLAB for Engineers and Scientists (5th Edition) by Steven C. Chapra?
I really need it for my studies. Any help would be greatly appreciated!
wow
that sounds cool
and useful
i cant find it anywhere online
it appears that it's not sold
does that textbook itself have the solutions inside it?
if so i can get access to the textbook.
hii
Hello
i have text book,but they dont provide answer 🥲
hi
hi👋
you can open a help channel if you want to check your answers
Hey y'all, I'm a recent graduate, earning a B.S. in mathematics. I'm having trouble finding work right now, and I'm looking for some career advice
Try #advanced-lounge
i did smh
Oh I didn't see that sorry
anybody knows where to get calculus 1 questions and answers
Hey do you ever want to become a mathematiciam
I suppose that would be nice yeah
highly recommend learning some programming
or you can go into the teaching route and get a masters in education
Yeah,I know html, css, python, r, git, and java
Teaching is not for me
try adding a minor in cs if you want to go that route, however we have no clue how ai will take over programming
or you can go into some sort of finance related field, accounting, etc
i'm a junior getting my B.C. mathematics & computer science combined degree, and planning to maybe go into some sort of finance depending on how many programming jobs are still available by the time i graduate
Hi foxy
I've already graduated, so...
oh ok nvm i thought i read that you're still earning your BS
maybe go back to school for a masters program?
Minors don’t even add onto your degree
At least in Canada
They aren’t displayed on your degree, only on your transcript
Minors are a waste of time IMO. They dont do much for you. They still cost money, require time and effort, but have basically no real benefit. Whatever youd learn in a minor course, youre better off just self researching.
😭🥀
wtf that's weird
careers cooked🥀
overqualified for mcdonald's underqualified for wendy's ahh situation
i was a cs major and quit that bc of ai. it is literally replacing every programming language and most people just writing prompts
which takes about 2 minutes instead of 2 weeks LMFAO
right, my mom works as a software developer and she has no clue how long she'll still have a job
however it's a huge company so idk
even then they're writing more prompts for claude and testing lines rather than writing code
so the entire workday is mostly meetings
yea
also, if your mom already had a software developer before, then that makes sense honestly, because it wasn’t as cooked as we are today lmao
well yeah shes been working in the same company for ~20 years so it was nowhere close to what it is now
wasnt even developed actually
autocorrect was barely out atp 😭
yeah that makes sense
its crazy how time flies fr
if you are getting replaced by AI then you were never a competitive engineer to begin with and prob wouldn't have gotten a job anyways
I don’t know who you’re talking to, but I was never replaced by AI when I was into programming stuff ¯_(ツ)_/¯
well ai hasn't gotten far enough yet to replace all programmers
but it'll get there
or very close
if you quit CS because of AI then you effectively were
AI is good but it is nowhere near "replacing every programming language"
that's just false
come on
don;'t fall for the hype
No, people literally put zero effort into their code, and it was a pain to manage that. I was into programming way before AI was even a thing lol
Yea people put zero effort into their code and that is a problem
it'll get pretty damn close
AI is not going to replace all programmers / programming languages
there will just be more slop code
we will need engineers still
that's what testers are for
and engineers?
whos going to write the fixes
quitting CS just because of AI is really silly imo
I mean if you literally buy a paid subscription, you will definitely fix the issue no?
that doesn't mean it won't replace any programmers
not necessarily
you're acting like chatgpt has the capacity to replace
the entire workforce of a large company
do you know how complex large codebases are
claude has effectively replaced at least 3-4 departments that i know of in my moms company
i've seen so much junk code and security issues online since the dawn of AI
people who believe the AI replacing CS narrative are just buying into a lie imo
Not only because of that but job market is also cooked
They need 10+ years of experience
i have a question, but idk if it would fall under help, its also kind dumb
Can anyone brainstorm me on agritech ideations?
Go ahead
ok so im in a dumb argument with a friend. i cant send the images into this chat
dont laugh if this is a dumb question but a rhombus isnt considered a cylinder right?
its level curves are all congruent along one axis, so its a cylinder
this is their point that it is
Any body selected to MIT in 2026 in international
pauls notes
would polynomials be algerbra?
Polynomials are algebras over the coefficient ring yes
But fr polynomial stuff is algebra, may be ring theory, galois, fields or whatever
Depends on what you're doing to them
thanks
—SLOTS—
—————-
❤️😜😜
—————
—SLOTS— \
—————- \
💀 💀 💀 \
————— \
You win! calculate how much you earned: \
$\int_{-\pi}^{\pi} \frac{x^5 , e^{\sin(x^2) + \cos^4 x}}{\sqrt{1 + x^8} + \ln(1 + x^2) + \cos^2 x},dx$
stuffed
I win nothing 💔
odd function 
good source to use when learning calculus
provides exercises and explanations
and most importantly lessons
Congrats u made it here
Arent u the one in the other discord
Wdym
Yes.
anyone want to participate here with me
https://midnightcodecup.org/
Least suspicious link
🥀
guys is it legal to print an aops softcopy that i have?
I mean yes?
If you're directly photocopying the book you've purchased irl and the copy is just for your own personal use, I don't see why that would be inherently problematic
If you're doing it to distribute someone else's intellectual property without documented confirmation, that's at best a shitty thing to do. By the books, it is illegal, and you can be penalized
hello
good day
@acoustic girder
according to this website, math majors have the second highest employment right, like wut? https://www.nu.edu/blog/best-college-degrees-for-employment/
this one says it's the number 8 in demand: https://www.indeed.com/career-advice/finding-a-job/majors-in-demand
this one also puts math at number 2: https://poetsandquantsforundergrads.com/news/the-best-college-majors-for-jobs-in-2026/
wtf can't I find a job
Graduate stuff?
the job could be mcdonalds though 
Optimize the profits of McDonalds with linear programming?
perhaps X E.
"All as per one might be maybe or might not be maybe, maybe or maybe not, maybe" means "X E".
?????
satire?
It means X.E. X.E
thank you this clears everything up X E
You're very welcome
I just take it as a textual tic
It's a conversation starter
are there number systems where arithmetic operations between infinities are all defined? would it even be useful?
The simplest example would probably be the extended real line, which allows some arithmetic operations where infinities are involved.
You can't fully extend the real number arithmetic to infinite values in a way that would be consistent and intuitively make sense.
ok so that wasnt much more than riemann sphere
Yep
If you go in the direction of cardinality (distinguishing between infinities of various "sizes"), then you do have cardinal and ordinal arithmetic.
But only a bit of that (mostly what pertains to countability) is broadly useful, past that I'd call it a bit more niche (if very fun)
Extended reals are very useful in subjects such as measure theory (and they show up when discussing limits in calculus, although often not framed as "extended reals")
Oh, there's also nonstandard analysis which gives a general rigorous framing to the concepts of "infinitely small" and "infinitely large" numbers: https://en.wikipedia.org/wiki/Nonstandard_analysis
As a fun consequence this allows the practice of treating dy/dx as a fraction to make actual sense.
it'
it's a little different since there's 2 infinities
so you don't allow dividing by 0 still
extended real line is more useful in eg measure theory and analysis, riemann sphere is more useful in complex analysis and projective geometry
meh. it's the standard part of a fraction. That doesn't seem much better to me than the limit of a fraction.
I've never really joined the nonstandard analysis hype train. It's a decent idea, but law of conservation of difficulty applies
this is incredibly useful if you are doing differential geometry the way algebraic geometers tend to think about things
although this approach is not really so nonstandard from this perspective and one usually uses other names like synthetic differential geometry or whatever
Algebraic geometry approach to analysis is like R[x]/<x^2> right
yeah exactly
very very useful to have this in differential geometry for obvious reasons
I'm not particularly recommending nonstandard analysis, it's nonstandard for a reason and apparently tends to be more trouble than its worth
kinda like geometric algebra lmao
hii guys
Greetings friends, how do you do?
I'm looking for intellectual discourse, sharing information your excited about and studied and so will I.
Intelligent people without logical fallacies only.
i am good what about you
you don’t want your basic analysis to depend on arbitrary non-principal ultrafilters?
non-standard geometric algebra 
yeah, part of the point of my comment though was that even in NSA, it's not a fraction
With that logic a square or triangle too becomes a cylinder
And if like every consistent cross section is a cylinder then we are just talking about prism?
ALBERT ESINTEN GENERATION HERE
The most interesting one is the surreals. Somehow big enough to contain the average discord mod
it has some elegant proofs though
Why’s that
bolzano–weierstrass ends up being a one-liner which is cute
well for one thing it's very useful to have representing objects for things like tangent bundles
If you think of T=Spec(R[x]/(x^2)) as a square-zero thickening of a point then this represents tangent bundles in the sense that TX=Map(T,X)
replace x^2 with x^n and the same is true for jet bundles
there's also a cute construction of lebesgue measure on [0,1] in nonstandard analysis: let N be infinite, consider the set T = {0, 1/N, 2/N, ..., (N-1)/N}, the measure of A is just the number of times it intersects T (or gets infinitesimally close), divided by N, so lebesgue measure is just an infinite version of counting measure
Semantic interpretations of good, reach N^2 complexity
I mean... to be fair this weaker than the axiom of choice, you don't really need to invoke an ultrafilter if you accept the axiom of choice
yeah i just think it’s a funny construction
wth is n^2
Hm, is every hyperreal field isomorphic to some ultrapower of R?
Category error
Why?
by the Löwenheim-Skolem theorem you can simply take elementary extensions countably many times to get an elementary extension of the real field (equipped with all its structure) of cofinality ω, which is therefore not realized as an ultrapower.
Hm so I guess the answer is no, according to Joel David Hamkins
I mean, I love me some arbitrary non-principal ultrafilters, I just don't find them particularly helpful for doing my analysis.

If you're doing analysis without the axiom of choice you have bigger problems than ultrafilters
I like my unions of countably many countable sets to be countable, thank you very much.
yeah especially since you can't describe one on N afaik
yea although assuming CH, I think all constructions using ultrafilters on N are isomorphic
it's to be expected you can't describe a canonical one explicitly tho bc it's basically a way to do (a weaker version of) the axiom of choice
do you think that a group is brown
what’s the operation of the brown group
It's brown
Thm. There exists a brown group.
There are no green groups.
The Brown Group refers to several distinct entities, with the most common being a full-service real estate development and investment company focused on land use, construction, and property management. They typically handle the entire lifecycle of residential and commercial projects.
The brown group is the additive group of brown colors
Mit students thare here
<@&268886789983436800> check user's pronouns
Ah the transphobes one joke.
Though some of these transphobes are the type to say "I am not transphobic" while actively putting down the struggles, feelings, and identity of trans individuals.
the backstory of the attack helicopter is pretty bleak, from what i gather there’s not really anything inherently transphobic to the story it’s just been co-opted as am anti-trans meme
oh actually nvm seems the story was based on an already existing anti-trans meme

<@&268886789983436800>
Uh one of the keys on my keyboard broke I tinq
The letter commonly used conjugate to q
The one that is associated with urine
What do I do lol
I need to be able to tyqe that letter (ironic)
use a mirror
it will help you to write it :)
LOL
Fix
alt NUM112 for lowercase p
alt NUM80 for capital P
what about them?
iirc the author was trans (but hadn't fully come out yet) and thought that the term was old enough to be co-opted at that point to make an interesting story out of it and then they got so much hate from trans people on the internet that they basically got bullied off
the author entered a psychiatric hospital afterwards because of all the hateful vitriol/threats and decided to abandon transitioning
it's a truly egregious incident
research
you can have a masters degree or hop directly on to a phd program
But the main goal is to do research
I'm actually a first-year graduate student, in neuroscience; I graduated with a math degree last year
That sounds very cool
I've heard that intelligence if somewhat genetically inherited from parents
I really don't wanna believe in that because my dad isn't the smartest person in the world and my mom sucks at math
Somewhat, but like, I'd say in my experience it's mostly nurture. Both my parents were high school dropouts and neither of them are any good at math
So its possible to become way smarter than your parents combined?
I really hope im not limited by my genetics lmao
that would suck
Fr
Guys i know this is a long shot, but does anyone know/can be an IB AI HL tutor for like 20 CHF/EUR/USD an hour? I know its a long shot but i found a physics tutor for like 20 euro an hour for Physics SL and im m26 so i have about a month until my math exams. Thanks!
martsh to neurosci
so tuff
Any good resources for convex optimization
sure
the thing to realize is that genetics is usually a statistical phenomenon
there might be general trends across a population but you can't conclude anything about your specific abilities
it's not helpful to try, unless you think you might have a genetic disease that should be looked at
Intelligence isn’t really something cleanly quantified by a linear order.
Maybe a partial order at best.
It is strange though that skill across a wide variety of domains seems to be roughly correlated, I wonder what that says about the organization of our brains
I would've expected them to be mostly independent
it's like trying to order R^omega lol
Don't want to comment too much on it since it borders on server rules but
The problem isn't intelligence or any of its ordering. The problem is assigning value to it.
My thinking is that what makes up peoples’ brains and intelligence is a mosaic of characteristics (moreover it’s mutable). So then we see quality in certain characteristics manifesting as skill in disciplines most strongly rewarding those characteristics.
No clue what precisely those characteristics would look like though ofc.
Does anyone have any recommendations of good books to use to self teach maths post A level? I would like to learn a bit more at a higher level
Thanks
I didnt have that chanel originally im a dummy
