#serious-discussion
1 messages · Page 182 of 1
to take trig next year
and then pre calc year after
and finishing school off
with calc
or ap calc
How do I use $50,000 to enhance my looks to attract more women besides limb lengthening surgery which I may seriously consider getting
Lasik Eye Surgery to gewt them glasses off u XD
Gym if lifechanging for you and others
Tren - For GYM (Trenbolone is an androgen and anabolic steroid)
At what level of study?
Undergraduate, Grad, etc...
i have stats in my undergrade but didn't study
and i want to study for my postgraduate
okay by postgrad do you mean like going for a Masters or PhD or even beyond that
master
Have you studied real analysis yet?
Okay
Our uni requires courses on stochastics, probability, etc...
so we'll give you books on those topics
yeah
My first sem:
Linear programming
Python
Queuing System
Inventory Management
Statistics
Goin to join university from next week
if you don't mind sharing, can you tell us what uni you're going to (you can say in DM's if you want) so we can check their syllabi for the classes?
ok
check dm
done
Have you taken real analysis yet?
(via a book like Abbott, Rudin, etc...)
Nope
Well at this point I think just Blitzstein and Hwang's stat110 book is all you need if you need to refresh undergrad probability, if they go further, then we can suggest more advanced readings
Thanks bro for ur help
me?
is this a joke
if you have 50,000 you should save or invest it
50,000 can still pay off college if invested

depends how much risk you want to take
50,000 in US government bonds can still become 100,000 in 20 years
https://www.bloomberg.com/markets/rates-bonds/government-bonds/us
yeah 10 year is 4% annual yield
erm
fine.
hlo
What the fuck?
Dont recommend tren to people
Fuck is wrong with you
- what is tren
- why is that person recommending it
its a steroid
but its normally used to juice up cattle
it has insanely bad effects on the body
I mean it does get you huge
Just at the cost of like years of your life and your general health
and your testicles
Do they permanently shrink or is it just while your test levels are like 200x natural?
that’s a good question, i have no idea 
For the aspiring minotaur 🐄
Oh is it that bad? 💀
I have a friend who uses tren and he was pretty casual about it
it totally fucks your body
How badly
very badly
Well, that's cool, I'm really happy for you
no way people actually use tren
pretty sure it can go back to normal + if you take HCG along with it then it can help avoid them from shrinking
Freaky
do you think all undergrad math can be self taught from internet/books?
I wanna learn all math I can but its too late to change my major lol
this is mostly directed at courses like complex analysis, algebraic topology and such
yes
most yes. some is tricky to get the right sources
unless one can read any books, then sure you can self-taught
a RealLifeLore video said that if civilisation were to start again, it would be in Bangladesh

it's crazy that half a billion people fit in a circle with radius of 450 km tho
just that part of the world alone
and also some of it is ocean
half the world
indeed, the density is insane
I hate the circle under this projection
I watched some more related videos
and starting in 2050 or something the world population centre is going to move west
by 2100 it will be in Saudi Arabia
cause of Africa
that's so boring
react to this song Hanumankind- Big Dawgs
yes that's it
You’ve said this like 5 times 
@wise bloom hey
have you noticed that most of the people just ask questions in Help Forum and then disappear
I've noticed.
Yes
But it's fine
that's kinda lame
I've checked about 100 forums now, and only <20 are somewhat solved
Yes
I k that
I feel people post their queries to get immediate help but it often leads to the opposite
In the help forum
The only solution to this is either we equalise the help forum with the channels or we increase the no of channels i mean like double or triple it
And also decrease the timeout time so that channels refresh faster after getting solved
There are many hidden channels
what are they for?
Maybe I am wrong and it's only for the helpful?
Idk maybe u need a specific role to access them
idk I can't access it
maybe it'll be something else
No i feel
It's a refreshing chamber or section
Where after the help channels get closed
They refresh and then come back to
The
Original help section
That's why it says hidden maybe?
I am not sure
Which is true
I've never seen those numbered channels being used
Idk
@verbal root sorry I passed out hard last night 
Its ok broski
🫡
nice gif you got there very original
SMH ILL FIND A MORE ORGINAL ONE TO USE SOON
What is thiscplace
what is this fking place
So true
hlo
yooo
hoi
supp?
not much, how're you today?
soo hectic..
what?
Opinions on stimulant use in math?
specifically adhd style medications (prescribed of course)
do they provide an advantage to learning?
well, if you have adhd they certainly can help you focus. i don’t know (because i have NO data, even anecdotal) whether it helps people learn if they don’t have adhd
if the opioid crisis told you anything, it's that stimulants aren't worth risking your life for if you're not the person who needs them to function
i already finished ap calculus ab as a school subject should i try to see if i can skip my normal math classes in grade 12 :P
cause the school lets you skip physics if you took ap physics 1
me and my friend took calculus one year earlier, so possibly we could lobby the principal into giving us a free period as in ap physics
the alternatives are (1) study stats instead of calc (2) take calc class but ask for reduced tasks
the stats teacher is already very laid-back so i think it would be the better of the two options
but im not sure if taking stats in school is worth it
in summary the three options are (1) stats (2) calc but slack off a bit (3) slack off entirely
me ._.
if your school offers the BC section of calc BC as a full year course at your school, you should consider taking it, becuase calc BC only covers 1 or 2 months of content. It's a good option if you're not planning on taking the test
What did you guys do for entertainment in high school? I find online games quite fun and connective to other online people, but it seems to affect my memory of academic subjects like maths/chemistry/biology…
"seems to affect" 
i code
and play games
ofc
y laugh 
if you're gaming during class you don't hear the teacher (unless you're good)
I'm talking about your free time at home or break time at school...
i am taking calc bc, but it won't show up in my report card
my school "offers" calc bc as in they'll do a course audit for collegeboard and i self-study but occasionally consult with the calculus teacher
💀
im not sure if this counts as abusing the course audit system but i think its based of the school cause its useful to be able to take aps
Any course that a school labels “AP” must receive authorization through a process called the AP Course Audit, which confirms teacher awareness of course scope and occasional exam changes, and ensures that confidential practice exams and other resources are only accessible to real AP teachers verified by a school administrator.
^this makes it sound like what my school is doing is within the system
did your class do the same curriculum as the BC calc curriculum?
i took ap calc ab
that's what i meant in "taking calc one year earlier"
ap calc ab has a proper teacher and classes and everything
(but its after school cause my school is shit 💀)
so, you're gonna take BC calc and an additional math class next school year, becuase the BC calc class doesn't show on your transcript?
☠️
im gonna take BC but its not gonna show up on my report card. i can choose to take stats or calc, but i can also probably convince the principal to let me skip math classes for senior year altogether (since i already have enough math credit). if i choose to take (essentially retake since i learned everything) calc classes, i might be able to negotiate a lower workload. if i choose to take stats, the good thing is that the teacher is laid back so additional workload isn't much of an issue.
oh my god i was taking eight hour-long classes in a row with like 10 minute break to eat lunch while everyone was getting an hour long recess and goes home after six hour-long classes. im surprised i survived 11th grade.
it's worth it now though if i can skip two classes daily
💀
honeslty im glad school is over soon
i want my summer break to end quicker so i can just get through 12th
never had that feeling before
you still got 2-8 (more if you want to be a doctor) years of college left man
true
Most of the things taught in school are just hard to retain if you’re not constantly practicing and applying what you’ve learned.
I’m good in the gaming department. Wish I could improve on the coding part
what coding do you alr know
Print(“this is all I know”)
first, use single instead of double quotes
💀
I don’t like the look of single quotes. Reminds me of every time I got points off for poor spelling in English class
try syntax highlighting
makes em look a lot better
i use https://vscode.dev for school coding
and then i use WRECKED for running the code
I wish I knew what that meant
this stuff works on school chromebook
Bro, my school blocks all the actual IDE because kids kept doing malicious stuff with the code
this is where my bypass kit comes in
💀
I got no idea, I’m not really a computer science guy
No idea
I don’t really want to jail break my chromebooks anyway
is even like repl.it blocked?
it's not jailbreaking
my tech is completely sandboxed in the browser, the way they like it
replit has copyright problems so its banned everywhere
oh just a proxy of some sort?
or more complicated
not even a proxy
its a program that runs programs
huh right
WRECKED = Working Runtime Environment Creation Kit Enabling Debugging
file:/// uri based program
School blocking things in general is dumb imo
yeah, so easy to bypass
the district is out for me
My uni never blocked anything on their ethernet
lol
.
I think that's just their stupid internet
so they block stuff
Hi
hi
@left pewter just moved the convo to here, how do you like the remarkable tab? helpful for self-studying math?
I've had it for 3/2 years and I love it, I had a 50cm stack of notebooks before and now I can carry 100 times that in my hands
((not based on calculations))
nice, i was looking at those
i have a couple wacom tablets
they were super cheap on eBay
It's also great for reading papers and articles! If you don't have a printer/want to print everything out
Ooo
i cant stand printing
Because it's too much paper?
Yeah it would become a lot after a short while if you don't recycle it regularly
Hmm well in which aspects?
taking notes, and reading book specifically
Both have an internet connection, the ipad has apps (including browser) while the remarkable doesn't, taking notes and reading I think work well on both, the main difference being that the remarkable doesn't emit light and is relatively dim (even compared to paper, not a huge difference tho) unless you have a bright light. The pro with that is that it's so much easier on the eyes, the con is that you need a good light source
I don't own an ipad personally
I've heard you can get a screen protector that makes it more paperlike to write on
i wonder if maybe i can pick up a remarkable used on eBay
Perhaps
It cost me about 420 dollars to buy it new, but honestly it's been one of my best purchases even though I'm a poor student
But
can you export a PDF off of the remarkable?
its totally worth it i would think! especially in your scenario
Yeah
You press a button and it sends it to your email
how do you get content onto it?
They have an app on both desktop and mobile
On desktop you just drag and drop
One of the main criticisms people have on the remarkable is that it comes with an optional subscription service, so if it's important to you that documents are synced indefinitely between the remarkable and the app or that you can access stuff via google drive then you would need to subscribe to that
cool, do you happen to know if it works with Linux? i am using ubuntu
I haven't and it's not been a problem for me as everything I would do on paper works perfectly well
It doesn't unless they've introduced it lately, but you can upload stuff to the remarkable on the web instead
oh yeah then it wouldn't matter what OS you have
hmm, thanks for answering these questions, ive been curious about remarkable for a long time, so its good i talked to you
Not really, the desktop app is just a bit nicer
maybe i will start bidding on one and get one for a low price at some point
No problem :^)
because the wacom tablets do just fine
Hope you can find one at a reasonable price
also, i have a GPD win max, if you know what that is
i can write on that
so if i need to go portable, i can write code, read PDFs, and take physical notes on the touchscreen
Ooo I haven't heard of that
Woah, handheld gaming laptop
yeah it's cool, i use it for doing math though, and writing code, not for gaming lol
That's really nice for coding at different places hehe
yeah it's cool, and it's really good for an airplane
because it fits on the tray table
Oooo yess
I would love that when I used to work on programming projects all the time
Before university 😢
when im learning math, i like to code as many of the problems as possible, to keep up with coding skills at the same time
any calculation related problem, i write a python program to do it
or R
yeah if you're interested in that sort of thing, you should check out Jupyter Notebook and Python
oh there you go!
that's awesome
It's different from working on a project though heh
oh for sure
agree
Which I used to have
you will have it back when you finish your degree(s)
Hopefully, at least partly
but you can just integrate the coding in with anything really
there isn't much that coding can't help with
Yess that's part of why I chose to study space engineering instead of computer science
hey guys let paly this
yeah smart
i wish i had thought like you when i did my degree
I want to apply my programming skills to different areas and widen my knowledge of other stuff
But I am occasionally curious about computer science stuff that you learn in university
i think you can just pick up a book or do leet code programs for that
I only have knowledge from programming projects and reading online and nerding about between ages 14-18
So like the practical part I have nailed down, I spent like most of my free time on it for many years
I know too much about c++
It's more the theoretical parts and more low level stuff I lack
But yeah I should find some interesting book hehe
if i were you i would enjoy your time in college, and dont rush to join the industry
i miss those times
Well now I don't really feel like working as a programmer. I'm much more scientifically and mathematically inclined nowadays and want to do something good for the planet and not some random company
But enjoying my time in college I do because I love to learn
enjoy man
Thanks, will do :^)
hi
hai
Hi Akira the hun
henlo 992
hello
Hello
hi higher :3
hello f0xy :3c
Hey yall are any of yall interested in seeing a random ahh kid learn calculus while being an idiot and struggling a lot at random intervals?
that is everyone in math lol
No that's not me
If you want someone to watch and (maybe please help) dm me
Maybe read #❓how-to-get-help
Hmm
I am going back to learning math as an adult now and it's so cool to learn it not for exams
you really feel motivated to deeply understand concepts in calc and it's nice
3blue1brown really helps too
I have a medical degree so it's also weird going back to freshman level math again but I really feel like I missed out on how beautiful and mind expanding these concepts are
/ reflection
Hi, can someone check out my help channel, #48, plz?
Please do not advertise your help channel or thread in other parts of the server. There are many people who need help, so advertising can quickly turn into spam.
@flint plover hey you still got an issue with that exercise?
hey
because then it lets you easily multiply and add variances idk
why square? not mod?
again idk
this I think
that's not correct
i also think
this is very wrong
sqrt(2+2) = sqrt(4) = 2
sqrt(2) + sqrt(2) = 2.828
i know i am generally saying
because the square root of variance ends up being the std. deviation that doesn;t means that
we literally had this discussion in general chat a bit ago, f(x+y) = f(x) + f(y) is only valid for linear operators
i think they're agreeing with you
oh
well most people don't use mean absolute deviation, an alternative way of thinking about the variance where we don't square, but we take absolute values of the differences to the mean and add them all up
check that out if you're interested
like i said in discussy, check https://en.wikipedia.org/wiki/Cauchy's_functional_equation
it has pathological nonlinear solutions but there's only nonconstructive proof
alr
They're still linear over Q tho
yeah they are expected to act rationally on Q
is modular arithmetic linear algebra in 1D?
the integers modulo any prime is a vector space over itself
Z/pZ is a field, so it's a 1D vector space
But modular arithmetic is not linear algebra
I mean, you can do linear algebra over these finite fields
This is something people study extensively
So you'd be interested in Z/pZ-linear maps between vector spaces

So in what sense were you making the analogy between 1D linear algebra and finite fields
It seems like you actually have good intuition lol
Thank you maam, i think im gonna cry
i think i vibe too much with math (very loosely)
at this moment i dont know what a vector is and i dont know what modular arithmetic is
yet
You're onto something, keep it up 🫡
i cant, i think ive lost it, thats the painful part
really appreciate the words of encouragement though, ive not had a good time
Vector= https://despicableme.fandom.com/wiki/Vector
Modular arithmetic = 🕰️
all of jumbled mess couldve been sorted had i figured a way to relearn it as how a 4 year old would do
i need to reset my brain somehow and still be me
Consume brainrot
If it's any consolation, I was nearly failing math in high school until I started getting motivated
I have a failed math test pinned to my corkboard to keep me humble lol
its not even about failure in instituition at this point, cant care any less about them
its my mind
I really appreciate it though
LIKE REALLY
I get that though
I really didn't think I would even graduate from college until I started tbh
As a mind thing
Ive tried to relearn stuff but it almost feels like the past experiences are influencing too much with what im TRYING to learn
youd be surprised by the number of times ive asked what is a vector in this chat and walked away with satisfaction and yet somehow i again dont know anything
my feelings about them isnt that straight forward
i havent passed anything and yet somehow an honourable thinks i have good intuition
IT MOVED ME
SERIOUSLY
thank you guys, imma head out
ive had intuition about equivalence classes
you guys gonna make my eyes wet again no way
by thinking about a question that goes
why is 5 in set of natural numbers needs to be equal to 5 in the set of integers
if you get the point of the question
youll get what im trying to convey
boring answer
it need not to be
Equal
we have MADE it equal
actively
it is not, actually, if you are trying to break it down set-theoretically. integers are equivalence classes of pairs of integers :) (the equivalence classes are given by (a,b) \equiv (c,d) if a+d = b+c in N)
this is real analysis i think
blud pulled out the grothendieck group
the sets are sort of constructed in such a sophisticated manner that it will not disturb the already existing grassroots of mathematics that allows things to be consistent
grothendieck copied ME! I'm touched, really
the smay group
hence we decided to make 5 in N equal to 5 in Z
some would disagree
Oh yeah Norman Wildberger definitely would
We can construct both sets and write down an injection from one to the other in the obvious way, which is what I would formalize what you're saying as
Wildberger 
inclusion map 
i like him though
yes, thats what professor did as well
no, i mean like if you are trying to be pedantic about what it means to be equal, then someone who is familiar about how Z is constructed would say that the set N and the set consisting of positive elements of Z are not equal. there is only an injection from N to Z (see: bacono's message above me)
He's a bit of a crank among mathematicians, just for your information
i cant think about stuffs again, my mind isnt allowing me to, i simply can engage FUCK
oh yeah ive followed him for years
he thinks the foundations are oxymoronic
What we're saying is that the formal process of identifying a set as a subset of another set is done through writing down a 1-to-1 map from one to the other
So 5 in N and 5 in Z are equal because 5 in Z is the image of 5 in N under this mapping
most notably, I think he just outright rejects notions of infinity
yes
ive wrote stuff about things like these before, i cant believe i wrote it myself as i can no longer understand anything in them
I think the fact that you're thinking about ideas like this deeply is great
This is the essence of understanding formalism in mathematics
i want to attach some images
i need to cry again
i wrote it not so long ago either #chill message
i feel like a complete idiot reading them 🤣🤣🤣
Lol I should send some things I wrote in notepad a couple years ago before I got better at math
For the record this is like 70% gibberish
LOOOOOL
I thought I was just having a stroke and being dumb
Yeah the answer is "equality is whatever we say it is" lol
AMAZING GUYS
Did you know that 2 * 2 is 2
I love nice assholes
tbh
ive had
a crush
on an olympian
not sexually heavy (if at all)
mathematics olympian or just straight up olympian
goals tbh
Everything is vibes
ive started to feel better without engaging in any way or form
vibes do be vibing yeah
God I remember in freshman year of HS I had a huge crush on this one girl, I literally never talked to her and then one day I asked her on an outing after feeling brave and she said "thanks but I don't know you"
zamn
In retrospect, that was the obvious outcome lol
Moral: be normal and have normal relationships with people before you ask them on an outing
Yes exactly
ive been writing pages worth of otherworldly shit to email to her lol
while having 'be normal' on the back of my mind
I'm gonna say probably don't cold email her with pages of otherworldly shit
yes been contemplating this all evening
lol
thankfully i have never had this sorta experience before (approached only one girl before and had a really normal relationship)
like as normal as it can get
i was happy i managed to pull it off so nicely
Laid back attitude
I also remember thinking in high school "I think I'm pretty normal, I don't think I'll look back at myself and cringe" 
oh yeah that happens all the time
i was insanely sensative to that
until i got mentally disturbed outta nowhere
why the fuck ive had the concept of entropy mentioned in the pages
the analogy shoulda made me puke like 4 years ago
i wouldnt actually give it a shot 4 years ago though
I have so many funny snippets in these notes
isometry 
The second question is actually an interesting one
That one was like a year or two into undergrad
even if you throw the dardenest of shits at me
i never managed to operate with higher dimensional terms with the same fluidity as opposed to pre college math
so yeah
i am recently thinking about probability as absence of enough data
you keep telling me these things as if you don't know anything but these are great instincts
That's literally the idea behind Bayesian statistics
Bayesian probability ( BAY-zee-ən or BAY-zhən) is an interpretation of the concept of probability, in which, instead of frequency or propensity of some phenomenon, probability is interpreted as reasonable expectation representing a state of knowledge or as quantification of a personal belief.
The Bayesian interpretation of probability can be se...
thats all i have left now :sobsuncontrollably:
someone else told me its measure theory the other day
Probability theory is built on measure theory yes, but I mean philosophically how we interpret probability
Frequentists believe that probability says "if I repeat this enough times, the ratio of successes to failures will converge to the probability"
the name made too much sense to me lol
Bayesians think of probability in terms of priors and known information
i just can't appreicate this currently.
im pretty sure i wouldve loved this
my situation is so fucked
im neither an engineer nor a mathematician
i have no leverage over people pursuation now (nor like i ever wanted to achieve that but now i think it wouldve been handy)
basically due to my new attachments (unforunately?)
man i still think about the iconic oneliners of this server
subsubsub field so niche that youre basically one of the worlds three experts in it
or something in a similar vein
where the heck is buncho bananas when you need him
Buncho micro pps
Are you a college grad already?
i am mentally a 16 year old
i just dont want to grow
ive had the best experiences of my life around that age
something that has sustained even to this unlike some forcibly acquired concepts
if i can still think of math the way i can do, id thank my 14-15 year old self
ive had trouble framing sentences man
the kind of pit i was in
Thank you so much talking to me
i knew yall always had my back
i will never forget that
damn you okay
<@&268886789983436800> ?
m higher
😔
huh actually that may have been innocent lmao
but coming right after an actual spammer made it look bad
ill lift the ban
no i shouldve checked as well
but link masking with a vague description made it suspicious
the link was just to one of those "dude scrolls through the top posts on a subreddit" reaction videos
which i will not consider GOOD content, but is not nefarious lmao
lmao
Hi
Is there a calculator where I can input in latex expressino?
I want to input my latex expression, and then have the calculator evaluate it
I try putting it into wolfram alpha, but it messes up the latex format when I put it in! : (
Desmos
Wait
Okay nvm
U can use chatgpt wolfram plugin
Hii!
@spring niche I apologize about last night. I simply fell asleep
Pls watch-> #1272921984417927263
@true zinc lets talk here
sure
ok according to project orion we need 25 million 1-megaton fusion bombs to get to 10% of the speed of light
for like
that is
a lot of energy
ok so
well i have 2 black hole ideas
first one is to generate power
second one is orion drive
Also, speedy I think the reason we haven't tried to literally harness black holes is because either A: it's currently impractical and/or B: we don't know how to
there is a theory that extremely small black holes are produced in particle collisions
not to shut you down, but we have a feeling some particle physicist somewhere would have already tried to run the numbers before
I thought they created antimatter
oh i'm sure
they also do that
depends on what collisions you're doing i think
,w mass of top top bottom hadron / mass of proton
,w (2 * (top quark mass) + bottom quark mass) / proton mass
,w muon mass / proton mass
,w tau mass / proton mass
imma step away to get some food
,w 1.306 QeV / 373.2
so thats about 3.5 ReV
better
but still very impractical
what about less energy
3.5 YeV for 1 kt of tnt
3.5 ZeV for 1 t of tnt
3.5 PeV for 1 kg of tnt
hmm
this isn't working
wait
could you make a gun
that shoots high energy hadrons together
to cause decent sized explosions
a hydrogen bomb?
for that size you need quetta eV levels
but for like
hand grenades
you only need like 10 TeV
assuming ttb hadron
ok what about this
what if we somehow captured all that energy
then we can
shoot protons together
the mass of the protons is converted into energy
the gain of this is like 1.0000000000001x the energy you put in
I'm slightly available
Is the standard mathematical logic (zero, first and second order logic) a classical logic?
all good. would you be able to help now? I have one question left
what is that?
I can try.
helllo evry1
Usually yes. It’s noted for its use of LEM.
But I need to go soonish
can someone talk boolean algebra with me
isnt boolean algebra sorta qualitative analysis more than quantitative analysis
is it in any way a truer reflection of operators in hand (qualitative)
boolean algebra is just algebra on values which can only take two states.
in other words, it's applying the ideas of "addition" and "multiplication" to true and false.
@quiet geode
I mean
Yes. A boolean algebra is the same thing as a commutative F_2-algebra
you aren't usually doing addition
that's why I put them in quotes
usually boolean algebra is AND and OR
"or" doesn't behave like addition
AND, OR, NOT as a gateset are equivalent to +, * for addition modulo 2 and AND
the actual operation that works like addition is xor
Yes, I know
this is like the stock standard definition
Well it does behave like a kind of addition. But if you forget NOT for a moment and consider the structure with OR, AND. It will be a rig (or semi ring) rather than a ring.
please talk more along these lines
its like say
OR is the same as +
you arent worried about the exact value
1+3 = 4, 1+0 = 1
it is just that addition 'increases'
it can be looked at that way, but why would you
because why not lol
whats better than operators that are consistent across bases
or atleast they are already consistent but only their qualitative part and not their quantitative part
its sorta also like the idea of abstraction we used in relations and functions
aRb, depending upon the exact nature (qualitative and quantitive) of R we will determine the order of a and b in a set
when i break the abstraction with a>b or a<b i also can now determine the order of a and b in the set
so by breaking abstraction of the relation (quantitative abstraction), i can determine the order of its operands in a set, similarly if i break the abstraction of a and b with constants, we can pay the relation back by letting it categorise in reflexive, transitive, symmetric or any other
boolean algebra feel similar
only difference is numbers with different bases are involved
is this making any sense at this point?
more like once its reflexive, transitive, symmetric or anything else for that matter, it would remain consistent regardless of all a and b
how to think clearly
if we're using F_2 we can define AND as multiplication, XOR as addition, and OR as the sum of AND and XOR. i.e. OR: F_2xF_2 (a,b) -> F_2, a * b + a+b. We can test each possibility. (0, 0) -> 0 * 0 + 0 + 0 = 0, (1, 0) -> 1 * 0 + 1 + 0 = 1, (1, 1) -> 1 * 1 + 1 + 1 = 1
and now it's just F_2 with some custom function names.
what even
1+1= 3
Does inclusion exclusion principle measure difference of OR and + on F_2
you know, that's a good observation. I think you're correct, but I've never considered it in that way
Hello anyone here have any opinions on reasons to memorising axioms, corollaries, lemmas, proofs, conjectures, definitions, theorems, generalizations and extensions and etc.????
If so, how would you do it?
Im going to copypaste the same message here and there as i want opinions and matter of fact on whats a plausible solution
use them until they’re second-nature to you
yeah thats literally repetition
spaced repetition
did i say it wasn’t
where
ehh its not that serious, dw
if you say so
gm
gm
Definitions you just have to know else you can’t parse anything else. I learn these by learning to understand what the definition really means, and motivating it through a healthy stock of examples, and also why it’s the definition we take rather than something else.
Proofs. I never try to memorize proofs. I learn techniques, I learn to understand the techniques and what’s generally useful, I remember the techniques by using it over and over for different proofs (this just happens naturally while doing math, I don’t even need to do separate practice for this).
Axioms to me are almost always just definitions.
Corollaries, lemmas, theorems always fall into the same bucket and are differentiated by vibes, they’re theorems: In general I don’t remember these and often go back to reference them as needed. Instead I have gotten good at recognizing the theorems that are really important to an area and just learn those theorems really well. Everything else I just learn to prove on the fly as needed or to try to generally piece together different results using as few necessary as possible. This way there’s very little to remember and what I do have to remember I use all the time which makes it even easier to remember.
Hi all
Got a great question for science lovers.
If i make a coil pancakes like make them to act 2 electromagnets
Can i make them to work like one inside other ?
Watch this video and asnwer. Me pls ping me.
Like make one to work as a below electromagnet
And using 2nd above electromagnet to levitate the 2nd electromagnet.
Like the voltage can be something that the electromagnet cant melt down.
Next step
Using super capacitors and capacitors make a pulses of high voltage which can make that electromaget device jump higer and stay in they air.
Might look something like vibrating in the ground if its wrong frequency.
If we use a frequency that can synchronize thats gonna work
"Anyi gravity" device.
Thory.*
Theoretically*
just think about them exhaustively
Just a math term question, what does [a fortiori] mean
did you delete your message there?
yes
Going thru 18.03 Diff Eqns course on mit ocw... and there's a separate pdf for every page. Is there a less annoying way to go thru the course?
i remember having the same issue on ocw lol
For a quiz, they have one pdf for the question, one pdf for the choices (it's a multiple choice question)... geez
Did you survive this or give up? I'm trying to figure out if it's worth it 😄
i was able to power through the annoyances, this was back on the old site and many years ago when i had more time though
I guess I'll get working then. 😅
lmfao i took a CS class in undergrad that had one pdf for the question, one png file for the figure but with boxes that said things like "value [a]", a separate pdf with a list of all the values, and a .tex file we needed to fill out to submit
for every question (except the .tex file was shared across questions)
i am assuming it was structured this way so that the same question could be given with different values to different students?
to prevent cheating? idk though we only got one shared "instructor solutions" pdf
maybe it was for reuse across semesters???
Perhaps problem bank kind of thing
Laziest way to redo the exam with only some exchanges
ti-84 plus ce or ti-nspire non cas?
ppl say nspire is hard to use but ill be happy to learn it if its reasonably better
get the cheaper one imo
i find that it doesnt really matter what graphing calculator you have, as long as you know how to use it
hello
good
what about u?
browsing on my pc
trying to find something to learn at maths
where are u from?
Iraq
nice to meat u
yeah
I dont sure exacily how much
but I can say I whatched more than 100 anime
cool
Hello, I am comp sci and maths 3rd year at Uni and I am looking for people to learn discrete/pure/abstract maths with me, we can work on proofs together since a lot of these books don't have solutions and we could make our solutions, also this subject benefits a lot from learning it with a group to discuss things. I am currently reading Proofs: a Long-Form Mathematics Textbook by Jay Cummings. DM me if interested.
hi, is anyone familiar with the triangle inequality for the norms of the differences of matrices. I have a non-trivial problem I am trying to prove
$| A-B|{F}\le | A-C |{F} + | C-B |_{F}$
Alex
Doesn't a norm satisfy triangle inequality by definition?
Yes but here A and C are fixed. We are free to choose B given some constraints that limit the search space
constraints being that norm(A-C) = X and norm(C-B) = Y
I don't get it... maybe I am missing something. But you want to prove the expression you posted above? which is the triangle inequality?
Sorry I haven't give the full idea I am considering. I have Hamiltonian that is formed by interaction coefficients eta_i which is a list of num_qubits - 1 numbers. The individual numbers have specific +/- locations that have been specifically chosen (for eigenvector decoding but not relevant here). In this example, H_1=A, H_3=C and we are trying to find H_2 such that it simultaneously satisfies norm(H_1-H_2) = X and norm(H_2-H_3) = Y for fixed X and Y. Essentially, H_1 and H_3 are formed by eta_i coefficients that are different in magnitude but have the same positivity/negativity. We need to choose some eta_i coefficients for H_2 that ALSO obey the positivity/negativity of H_1 and H_3.
My dilemma is, are we restricted in the search space for H_2 because of the sign constraint? Or because we can vary both norm(H_1-H_2) and norm(H_2-H_3) continuoulsy individually by just changing the magntiude of the H_2 eta_i coefficients, then there is no restriction?
So your "norm" does not satisfy triangle inequality?
thats precisely what im trying to determine
Ahh, I see, so deciding if triangle inequality is respected
yes, given this sign constraint
ah okay, will do if i have no luck here
@austere hound so are u a jew?
Kodix I didn’t expect your message like that
Why
Also he asked me first. Now I'm asking him back
ohh my dears
I love jews don't get me wrong
hi
Hi
im tunis
Tunis jew
hi
Hi
Hi
Hi?
hi
Hi
I feel bad when I see other people talk about topics in math I know much less about. Since I'm so slow at learning, feels unreachable for me to reach that level
Do other people feel same way?
This is probably a really bad attitude to have, and the fact I have this attitude makes me think of myself as flawed and makes it all seem even more unreachable because of my flaws
yes, all the time
but I’ve gotten better at managing it over time
mhm
One person can't know every topics in math, tho. So that is quite common
this is something I’ve struggled with for a long time in general (not just math)
What helped with getting better?
yes, but i try to follow my own advice that i say to people, which is to realize that everyone is somewhere, and it's okay to just stop and appreciate the things that you find beautiful right now without having to "reach a level"
and that's really what math is about (you will get better just by talking about the things you find meaningful in math)
realizing and accepting that it’s okay to not know, and that it’s okay to be “slow”. mathematics is not a race or a competition, after all
It's not just about an abstract idea of "reaching a level". More like. There are things I find very interesting but I don't have enough background to explore them. And then I find myself stuck at things that should be elementary and feels really frustrating and like I'm so far away from ever getting into those interesting things.
For example, I've heard about stuff like manifolds admitting multiple smooth structures, and that sounds quite interesting. But then to do something as basic as proving the stereographic projections of S^n give a smooth atlas it took me like 30 minutes and I kept making mistakes
i don’t feel bad i just feel awkward lol
i have limited time these days and i’m not a mathematician so i don’t worry about knowing everything
but i do end up feeling like an awkward bystander in many discussions
I used to. But not anymore.
I should probably stop feeling that way too, as it is likely a disadvantage
I should use my energy to learn more math, not to feel bad about knowing too little math
Yeah we have limited time and can’t learn everything. Best to just be happy with what we can learn.
this is something I still need to work on myself, but I’m getting there step by step
Imo it’s really cool we get to experience it at all. So much of this math just didn’t exist last century.
(or if it did, not nearly in as elegant of a form as today)
Last century meaning 1999?
Yes
same here, especially when they happen to be younger or at an earlier stage of education
sometimes I'm open about how I feel about myself and the same people keep reassuring that I'm not so bad (math people are super supportive) which actually helps a bit
I never accepted “not knowing” and being “slow” i dont think ill be able to any time soon
but you surely cannot know everything
there's just too much mathematics out there to know it all
i accept that i will probably never know what stacks are
you have to accept that there will always be some parts of it you will never know about
this is not to discourage you
it's just how math is in this century
Not if I never die
i don't think it should be thought of in categories of advantage or disadvantage
like, it's not a competition, as long as you can sustain yourself somehow then it's already good
since you already know some areas of math well it means that you are capable of learning the ones that interest you, even if it takes some time
just enjoy the process
I'm not thinking of it as competing with others but as the cool things I hear about and would like to work with seem so far away
And if I don't work more efficiently I may never reach them
I really don't feel like I know any area of math well. I know some elementary stuff in many areas but nothing very deep
you won't reach some things as it's impossible like higher said
you just have to accept it ig
So far I haven't reached almost anything
giving up on goals and dreams is painful but sometimes necessary
though i might be biased as i have already given up on all of them 😅
you might have not reached whatever you want to eventually reach
but you surely made some progress
I don't have anything that gives my life purpose other than math so if I give up on that I don't know what I'll do after
just do what you enjoy
doing maths just because it's interesting and not because you feel the need to achieve something is very liberating
Sounds like a good book
if there is one thing i may brag about, it is my ability to find good books mwahahaha
Yep, if you can (e.g. if you're just self-studying), just try to have fun!
I think that's a nice way to learn
i so wanna read this
You can improve your understanding by messing around with stuff
so far it’s very fun
i probably wont find it anywhere here though which kinda sucks
no access to any uni library?
they only keep academic books really, i doubt they would have this, but i will check
You can always find it online 
How deep are you in this book? Any highlights?
"its none of your business" lmao what a chad
just a couple dozen pages in, it reads quite sincere and i like his sense of humour, but i definitely haven’t gotten to the meat of the book yet
I see
ahaha
What I did not learn was how to study, or, for that matter, what studying meant. I was just barely smart enough to know that it did not mean memorizing—but I did think that to have learned something meant mainly to remember it.
Most of the content of my first-year mathematics courses is no longer taught in respectable universities; a part of it is relegated to high-schools and the rest is forgotten. Is that good? I don’t know, I really don’t.
I can

find them online
facebook marketplace also works, some people give away old used books
nice people in my area
oh
🫢
openstax got some
nice
how do u even get image perms
be active
huh
do you have MTW?
it's real that a big part of people who reach Phd level then leave academia due to difficulties in finding a job?
(which pays to live)
just becomea. professor
easy
@gusty socket You're a mod now? Smh.
grass jokes are good
i just realized rock paper scissors has more than one nash equilibrium
randomly picking between paper and scissors with 50/50 probability can't be beat
doesn't that lose to always scissors?
doesn't that lose to energy drinks?
what
Pick between all 3 to win more often sotrue
rock paper scissors is about reading body language
theoretical RPS
if you're leaking information, have limited computation, and can't pick options with uniform probability then yeah the game is gonna become complicated
a bit embarassed to ask but how do i start off with studying math? like at this point i've realised i'm just a dumbass who can't understand all this jargon and i don't rlly get all the material i've learned from school intuitively
https://www.khanacademy.org is what i usually recommend, don’t worry about the “grade level”, just start where you’re comfortable.
and ask a bajillion questions because part of learning is interacting with people
unless you want stuff beyond calculus
ic tysm for the advice and reccomendation man
one caveat, you HAVE TO do the problems
otherwise it doesn’t work
well i'm currently studying precalc and i feel like i'm cooked 💀
okay, then this is the right resource
you have to do a lot of problems (i really can’t emphasize this enough)
you're capable, all you need to do is practice a lot
yeah that's what i'm gonna do man nothings better than getting hands on experience after all ty again
and the best way to practice is to do problems
where do i get practice problems n all? is there a good site for it?
Khan Academy itself should have many problems
nvm i'll try getting a grasp of stuff first bfr asking again 😭
no, you should use this discord server to ask for help
we do not care and do not judge people for their background in math
this is a safe space
safe space
you object? 
it should be a safe space for all
if something is making you feel very uncomfortable, you can DM @polar panther if you're not in a hurry or ping mods if you are
the set {9/8, 3/4, 1/2, 1/3, 2/9, …. } what is the formula to get the next succeeding numbers
anyone goated can help
you should open a help channel for math questions 
its multiplying by 2/3 every time
holy fuck i was reading the first one as 8/9 for some reason and i got so confused
a_n = (2/3)^(n-1) * 9/8
thats your formular
your secret formular
but its not secret because
i just said it
wow ur the goat thanks
[R.L. Moore] was teaching a class in which several of the students were obnoxious and unruly. So one day he walked into the lecture hall, opened his briefcase, took out a pistol, set it on the table in front of him, and then began to lecture as usual. He had no further trouble with the rowdy students.
america moment 😭
probably not true though
precalc is easy if you used calc 
that's what I did
when he says students were obnoxious and unruly
he probably had some racismi n that
moore is a well known pos and racist
Studying while Black
That said, whomst among us hasn't fantasised about murdering their students at one time or another
Except for cranks

Hi
hi

