Mac....
#serious-discussion
frank orchid
torn willow
What exactly do you want to do with this
frank orchid
Have a calulator on my deivce to run calulations
torn willow
I guess Sage is good if you want to like do algebra and comp number theory
torn willow
Have a calulator on my deivce to run calulations
I don't think you should be using a CAS if base python/julia satisfies your demands without being annoying
summer prairie
nice
fervent zephyr
Typically what you'd do is define in what sense it does make sense to compare them, give that relation a symbol, and derive a symbol for the opposite from that.
(You can also directly specify what it means for them to be different via an apartness relation, but that's a bit less common.)
So in other words, define what it means and pick a symbol for that.
thick spruce
what if I don't do that lol
like, trying to define a way to compare 5/0 to 6/0 in a way that is relevant is hard
since they're both undefined
if I'm understanding correctly you'd have to define them for that to work
fervent zephyr
If you don't do that, then what you write will be meaningless
thick spruce
that's the point lol
I'm trying to say that comparing something to undefined doesn't make sense
long matrix
this is oxymoronic
or whatever the word is
you can only compare things youve defined how to compare
\neq is also a comparison operator
You simply say these 2 objects are not comparable in words, there is no generic symbol used for this.
long matrix
ionic star
it's like <>
long matrix
there is no symbol that is conventionally used
I would not understand what your <> is meant
ionic star
thick spruce
math has a convention???
fervent zephyr
Saying "it doesn't make sense to compare these" only works if you have some notion of comparison already in mind, it doesn't make sense to say it globally.
Maths is basically all convention :')
thick spruce
Saying "it doesn't make sense to compare these" only works if you have some noti...
I mean it's more just me trying to say "I haven't decided how to compare these"
similar to how undefined is like "I haven't decided what number to make this"
fervent zephyr
Mathematics tends not to talk about things that way. Undefined is not "not yet defined", it's undefined.
You can provide a different definition that does define something, but that doesn't (generally) replace the old one.
ionic star
i agree though, it's not conventional
someone may have seen it once, you can't rely on it being understood
thick spruce
well the other awesome thing about math is that I can make any authoritative statement I want lol
as long as it isn't inconsistent
long matrix
never seen it, and i think its nonsensical to use such a symbol to mean what OP was after
fervent zephyr
This sounds to me like it means "in the context of the preporder we're working in, these elements are not comparable"
Which is a claim about some specific relation
Not "these elements are not comparable in some nebulous sense"
long matrix
by introducing such a symbol, you introduce a comparison operator
ionic star
but that's what they are asking about
fervent zephyr
well the other awesome thing about math is that I can make any authoritative sta...
I'm afraid you'll find that what you're trying to do does not actually make sense
ionic star
that's 5 vs hamburger
long matrix
no.
fervent zephyr
No; there's no preorder defined there
long matrix
In math, you dont work in the universe of everything
thick spruce
by introducing such a symbol, you introduce a comparison operator
cool with me lol
long matrix
its always in some set, class or something
ionic star
okay
fervent zephyr
"I don't have a relation to compare these with" is a statement that can be meaningful in a discussion, but it's not a mathematical claim.
long matrix
In this case, a set with some kind of order would have been defined
Youre working in this set
and they would be using this notation to indicate certain elements of this set cannot be compared
thick spruce
what if I just say A x B is true if not A < B and not A > B and not A=B
in the context of reals
fervent zephyr
Then a classical mathematician will tell you it is never true.
thick spruce
wait fuck it couldn't I just say A∉ℝ
fervent zephyr
That said, you can define such a relation, and constructively it might make sense.
long matrix
wait fuck it couldn't I just say A∉ℝ
thats bad usage of symbols
im assuming youre in your original example with hambuger
fervent zephyr
wait fuck it couldn't I just say A∉ℝ
Uhm, you said "in the context of the reals" so you're saying a real isn't a real here, so again, never true
thick spruce
ok lemme reword lol
long matrix
\notin operator being used generally implies theres a universal set containing it youre working in
fervent zephyr
That said, I do think some kind of set non-membership claim could be what you want.
thick spruce
hamburger∉ℝ
fervent zephyr
Some more context would help.
long matrix
thats bad notation unless its understood what universal set we're working in
thick spruce
working in the real domain
long matrix
youd have to define it first
fervent zephyr
If you're working in the reals, then hamburger better be a real number.
long matrix
since its nonconventional
thick spruce
If you're working in the reals, then hamburger better be a real number.
but I just said hamburger∉ℝ
fervent zephyr
Because it's not clear what it is otherwise.
thick spruce
I'm so lost lmao
long matrix
read what I said.
thick spruce
thats bad notation unless its understood what universal set we're working in
reals?
fervent zephyr
but I just said hamburger∉ℝ
Okay, so that claim is false, and?
long matrix
then hamburger isnt in it is it
fervent zephyr
Again, what are you trying to do here?
thick spruce
I'm trying to say you can't relate hamburger to 5 when working in reals because it's not an element of it
so you'd just say hamburger∉ℝ and you're done right
fervent zephyr
No; you can't talk about hamburger when working in the reals.
long matrix
its like trying to get your int32 computer to understand 2^100 > 1
to give a loose analogy
fervent zephyr
The statement you're making is nonsensical
long matrix
Universal set means all objects you will consider
fervent zephyr
No, you're trying to express "statement X is nonsensical"
long matrix
so you dont consider hamburger
and it makes little sense to state hamburger isnt in R
fervent zephyr
But instead your whole statement becomes nonsensical, and hence doesn't say what you want it to
long matrix
symbolically, its worse
thick spruce
what do I do then LOL
fervent zephyr
But again, unless you provide more context on why you want to do this, that's probably all we can say
long matrix
Heuristically its completely tautological, what ur trying to say
if U is the universal set
then for any x, x WILL be in U
because all the x you can consider are in U
===
Youre trying to say the things not in everything arent in everything... well yes?
thick spruce
But again, unless you provide more context on why you want to do this, that's pr...
trying to correct when someone divides by 0
like if someone makes the mistake of 2(0/0)=2 I'm trying to correct it by replacing the equals sign with the correct relation
I know I don't have to do that necessarily
long matrix
xy problem smfh
the correct thing to do
is to inform them this expression is not defined
to make sense of this expression, you recursively parse it (bidmas)
until you get to the 0/0 part
fervent zephyr
There is no correct relation symbol there.
long matrix
if one part of the expression is undefined, the entirety is
thick spruce
wait so is there no correct relation symbol because nobody made one or because it's literally impossible to make one
long matrix
and if either expression in a binary relation is undefined, then so is the relation
thick spruce
what's wrong with notating an undefined relation
fervent zephyr
It makes no sense to make one. Mathematics talks about structures. If you violate the rules of the structure, there's nothing meaningful to say.
thick spruce
I mean I would argue "you just violated the rules of the structure" is meaningful
what do I not understand here lol
long matrix
have you programmed before
thick spruce
yea
long matrix
or have an understanding
ok, then how should one go about writing a program that judges if my poetry is happy or sad
molten flint
How can I socialise?
fervent zephyr
I mean I would argue "you just violated the rules of the structure" is meaningfu...
Once you've violated the rules of the structure, you are outside the structure. Trying to use a relation to denote that doesn't make sense, because the relation is inside the structure. You need to make some external claim.
long matrix
so write a function that takes a string and returns a boolean
but satisfies my requirements
fervent zephyr
(This is when you take a specific interpretation of division by zero, by the way, where it is really not permitted. In other contexts undefined is treated more meaningfully, and e.g. there's a Kleene equality notation that permits both sides to be undefined.)
(In a setting like that, you could define the operator you're talking about but it would not see much usage because it is not very interesting.)
long matrix
(This is when you take a specific interpretation of division by zero, by the way...
but under the hood, all they've done is gone and define it
this new undefined is like undefined2, a new notion of undefinedness
fervent zephyr
Yes, hence the different treatment of undefined.
thick spruce
Once you've violated the rules of the structure, you are outside the structure. ...
is there a shorthand for this
fervent zephyr
No
long matrix
you are obsessing over symbols needlessly
thick spruce
I love symbols
long matrix
Mathematicians write their papers primarily in words, not symbols
So do I, but I think you're missing the point of them.
fervent zephyr
I think a key point we're trying to communicate is that regardless of whether this can or can't be done, it shouldn't be done.
long matrix
so write a function that takes a string and returns a boolean
The point I make here is that to do such a thing, you have to first define what happy and sad means
and then program it in
This could very well be via ML
ask chatgpt if your text is happy or sad and it will have an answer
tight comet
I have seen a lightning symbol for contradiction
long matrix
But this ONLY makes sense because it has been defined. If it hasnt, your program will fail to make sense of the question.
tight comet
If that's what being sought here
long matrix
If that's what being sought here
not at all.
fervent zephyr
Nah, this is a different notion.
torn willow
No, you're trying to express "statement X is nonsensical"
.
thick spruce
I think a key point we're trying to communicate is that regardless of whether th...
why 😭
long matrix
Mainstream mathematics is not much different from how programs work in a sense
thick spruce
But this ONLY makes sense because it *has* been defined. If it hasnt, your progr...
so the result is that the program would crash if you didn't define it, right?
fervent zephyr
why 😭
Because you're taking attention away from a problem (that the expression is undefined) and giving a useless answer instead.
long matrix
well it would literally tell u whatever the heck ur trying to do isnt defined
like youd try to invoke your is_happy function
and u didnt tell it what thats supposed to do
yes itd crash with this error
===
In the same sense, its nonsensical to talk about hamburgers before first describing the mathematical universe you're working in (which must contain hamburgers)
fervent zephyr
I think the whole hamburger thing was an unfortunate sidetrack.
thick spruce
can I do this
2=2
=> 2(0/0)=2(0/0)
=> step 2 doesn't make sense
I feel like we're going in circles here and I'm not sure why
long matrix
the first implication does not hold
thick spruce
right
fervent zephyr
No, you can't.
long matrix
since B is an undefined relation
and B is undefined due to 0/0 being an undefined expression
fervent zephyr
You can say "the claim "2=2 => 2(0/0) = 2(0/0)" is meaningless because the consequent is not well-defined"
Note that this is not "step 2", there is only one step here.
thick spruce
can I do this
2=2
=>2(0/0)=2(0/0) (this doesn't make sense, don't do this)
tight comet
Is this idea springing from error handling, or it's just a mathematical curiosity
thick spruce
curiosity
tight comet
Because I think thinking about it from an error handling perspective gives use. I'm not sure about otherwise
long matrix
can I do this
2=2
=>~~2(0/0)=2(0/0)~~ (this doesn't make sense, don't do this)
the key point mathematically
fervent zephyr
can I do this
2=2
=>~~2(0/0)=2(0/0)~~ (this doesn't make sense, don't do this)
This still does not make sense.
long matrix
is you can multiply both sides of an equation
by a number
you can divide both sides
by a number that isnt 0
these are the usual algebraic rules whether youre working in R or C
Thats the crux of why this is wrong
thick spruce
so my only option is to step back and articulate that what they just did doesn't make sense
long matrix
only option?
thick spruce
like, break the 4th wall almost
in a way
long matrix
more like the most sensible way to explain it?
you cannot divide by 0
and consequently that 0/0 is not a number
thick spruce
so my only option is to step back and articulate that what they just did doesn't...
I mean in general
fervent zephyr
like, break the 4th wall almost
in a way
Yes, that is key to explaining this.
long matrix
like, break the 4th wall almost
in a way
In the end, its the compiler or interpreter or whatever that has to complain and tell you about your error
and why the thing broke
Your program that broke can do no such thing
long matrix
(This is when you take a specific interpretation of division by zero, by the way...
lol and this is just implementing try catch in math
fervent zephyr
Mmm, not really, the program comparison breaks down there since we tend to talk about non-termination when we're talking about stuff being undefined.
thick spruce
so basically the rule is just that when you point out that something doesn't make sense it can't be within the process
long matrix
that makes sense doesnt it?
long matrix
so basically the rule is just that when you point out that something doesn't mak...
to sum it up
thick spruce
I think so
long matrix
nonsense cannot tell you why it is nonsense
thick spruce
probably the most abstract thing I've learned like ever lol
long matrix
Mmm, not really, the program comparison breaks down there since we tend to talk ...
wym
fervent zephyr
wym
In computability, the reason a term may be undefined is that it computes forever, an error not amenable to try-catch.
long matrix
thats true
fervent zephyr
so basically the rule is just that when you point out that something doesn't mak...
Yeah, basically
thick spruce
cool
gonna write my thesis on mathematically breaking the 4th wall
fervent zephyr
With these kinds of questions, the more context you give of what you're writing, for whom, why, etc., the more productive help can be.
thick spruce
bet
in this case it was just curiosity so I really didn't have that part
fervent zephyr
Then it may be that the answer is "depends".
long matrix
no, they meant a one word answer depends lol
thick spruce
if they elaborate
cool people elaborate
and math people are cool people
therefore math people elaborate
fervent zephyr
There's not much to elaborate unless you give a more specific situation.
thick spruce
damn I'm just never correct huh
molten flint
Vector tucker…are you OK?
steel mantle
one joke
tiny saddle
narrow goblet
How do I get help I don’t see a channel for it
spare forum
what is the command to wrap strings in latex?
hoary yoke
what is the command to wrap strings in latex?
Does anyone know if Greece ever intends to release more letters for us to use in equations?
mint patio
How is analysis used in theoretical or computational fluid mechanics research?
How about in control systems?
river moon
it's the language of these fields
storm sage
Does anyone know if Greece ever intends to release more letters for us to use in...
LOL
neat lintel
does analysis include linear algebra?
river moon
not initially, yes later on
mint patio
it's the language of these fields
How?
river moon
everything is written using objects or operations from analysis
it's like asking "how is swedish used in sweden"
mint patio
LMFAO
storm sage
Yeah literally you can't write down a problem in fluid mechanics without analysis
mint patio
I'm sure you're right
but like
can you give me references or example papers or something so I can see it myself
Or just examples of how analysis is used
Do you know whether it's used in controls or not? I would assume so since controls ties in pretty closely to optimization
river moon
even most basic dynamical systems are nothing but a set of differential equations (that's for control theory and such)
you can't imagine working with those without analysis
storm sage
I just looked up "fluid mechanics analysis"
here's a random paper https://www.sciencedirect.com/science/article/pii/S0045782596010882
You can see that it involves a lot of analysis and linear algebra
Also numerics
mint patio
I see
mint patio
you can't imagine working with those without analysis
Yep!
I see
How selective are grad schools? 🥲
I want to study this shit soooo bad but my grades are mid
river moon
you can just read a book on these topics if you want to
mint patio
It doesn't feel the same
I struggle w self-studying anyways, can't maintain the discipline
tall minnow
How is analysis used in theoretical or computational fluid mechanics research?
Fluid is physics
Physics boils down to differential equations
And you study them by using analysis
mint patio
Well that was straightforward
But insightful in a 4head kind of way
But like
Okay I guess what I don't understand/know about is
What are the practical applications of analysis in those contexts? Like, how do you use it?
In my head I can think of a vague example
You have a set of DE's describing some system
Perhaps an analytic solution is hard or impossible
But you can still analyze the behavior of the solution using general analysis theorems and whatnot
And use it to glean information about the system
tall minnow
What are the practical applications of analysis in those contexts? Like, *how* d...
For instance, how do you show there's a solution to Navier-Stokes (equations for fluids)
Well you start with an approximate solution. You integrate with the heat kernel and the Duhamel formula for each iteration. Eventually you converge to the real solution.
That's analysis. Calculus. Approximation.
The art of analysis is approximation
mint patio
That's sick
Exactly the type of answer I was looking for
Thank you
I know about fluids btw don't worry LOL I'm a mechE student
What's the heat kernel?
tall minnow
Heat kernel, or more accurately the heat semigroup is a time-dependent linear operator. When you apply it to a function you get a solution to the heat equation starting from that function
Navier stokes is basically the heat equation with a transport term
mint patio
tiny mauve
Does anyone know why a negative number multiply by a negative number gives a positive number?
woven whale
Does anyone know why a negative number multiply by a negative number gives a pos...
because -1 * -1 = 1
alpine kindle
Does anyone know why a negative number multiply by a negative number gives a pos...
multiplying by -1 is like rotating the number line 180 degrees
so 2*-1 = -2
which is 2 on the number line rotated by 180 degrees around 0
if you do two 180° rotations, you get to 360°, which is a full turn and back to where you started again
so -1*-1 = 1
and therefore two negative numbers multiply to a positive number
tiny mauve
Thank you😁
alpine kindle
Thank you😁
if you're interested, this idea of rotation brings you to the idea of complex numbers
if you consider rotations by other angles
tiny mauve
Okay
static loom
which is 2 on the number line rotated by 180 degrees around 0
How would we argue this for other rings or fields, like the p-adics?
tall minnow
Not every number system enjoys all the properties of complex and reals
Conformality for instance
torpid frost
@karmic burrow
zealous garden
multiplying by -1 is like rotating the number line 180 degrees
This is cute the first time you hear it, but horribly inaccurate
Multiplying by -1 is a point reflection through the origin
tall minnow
Multiplying by -1 is a point reflection through the origin
I'm not often a nerd emoji user but I'm tempted to give this reply one
in the complex plane, multiplying anything is a rotation.
zealous garden
Rotations are also reflections
tall minnow
well, anything with absolute value 1
tall minnow
Rotations are also reflections
what is the reflection for 90 degree rotation
zealous garden
It is the 2-reflection defined by two hyerplanes meeting at a 45 degree angle of separation with their intersection orthogonal to the plane of rotation
alpine kindle
Multiplying by -1 is a point reflection through the origin
that's literally the same thing as rotation by 180° lmao
zealous garden
Or the spinor (1+i)/sqrt(2), mapped to the appropriate plane
zealous garden
that's literally the same thing as rotation by 180° lmao
For now
tall minnow
It is the 2-reflection defined by two hyerplanes meeting at a 45 degree angle of...
we count 2-reflections as reflections eh
zealous garden
we count 2-reflections as reflections eh
You didn't have a problem when I said point-reflection
I already set the precedent for exotic (non-hyperplane) reflections
tall minnow
so composition of reflections
zealous garden
Yes
tall minnow
how about an actual reflection
zealous garden
What about them
tall minnow
right there is no single reflection to create a rotation so I'm tempted to say ally gives a better answer here
alpine kindle
anyway multiplication by -1 as rotation by π is absolutely valid within the complex plane imo
zealous garden
right there is no single reflection to create a rotation so I'm tempted to say a...
And? That's irrelevant
alpine kindle
I'm viewing -1 as complex, not real
zealous garden
There's no single force to apply and lever length to use to generate a torque
Determining one, freely, then absolutely Determines the other
tall minnow
anyway I'm more interested in why you think ally's answer is "horribly inaccurate"
zealous garden
Because it doesn't generalize
alpine kindle
if you're viewing -1 as a real number acting on the complex plane, then you are probably more correct
tall minnow
it does absolutely generalize
zealous garden
-1 stops being a 180 degree rotation
It doesn't stop being a point reflection through the origin
tall minnow
in the complex plane
alpine kindle
Because it doesn't generalize
it does to any vector space over C
I'm pretty sure
yeah
zealous garden
What about R
tall minnow
it's true there too
alpine kindle
no it's not
zealous garden
It is absolutely not true in R^3
alpine kindle
you're right about R
tall minnow
oh I guess a point for wraith is indeed in odd dimensions
zealous garden
I'll admit the definition is more general than I first thought
tall minnow
but when I think about scalars I only think about reals and complex
tall minnow
anyway all this is truly nerd emoji moment
alpine kindle
we were just in two different base fields
zealous garden
Yes
alpine kindle
anyway all this is truly nerd emoji moment
you are in a MATHEMATICS DISCORD SERVER
you are also the nerd emoji
tall minnow
you are in a MATHEMATICS DISCORD SERVER
even in mathcord there is a pecking hierarchy we must adhere to 
alpine kindle
we are all below daminark
zealous garden
I'm afraid that after my EGG arc comes to a completion I'll be retreating to the catacombs, they have kept forbidden GA from me and I must release the knowledge
alpine kindle
All of you
and you
zealous garden
right there is no single reflection to create a rotation so I'm tempted to say a...
I think I now realize what you meant
zealous garden
To describe it as a single reflection is a bit cumbersome, but a 180 degree rotation corresponds to an (n-2) volume reflection; i.e. a line-reflection in 3D. This is distinct from multiplying by -1 (which, at least in 3D, can be thought of as a sandwich product with the pseudoscalar of VGA, the PSS of VGA is the origin in Mirror Space PGA, and thus -1 is a point reflection through the origin
zealous garden
Through the origin it's simple, everything adopts a -
Homogeneous coordinates makes it easy for every other point
long matrix
it works if ur considering reflection through a n-1 dimensional space in n space
i think
no wait
n-2 maybe
zealous garden
Yes n-2 is a 180 degree rotation, like I said
long matrix
oh yes i should read
zealous garden
We only get (n-2) volume-reflections from 2-reflections when the 2 hyperplanes left invariant by the reflections are perpendicular and intersect in an (n-2) dimensional space
[And the rotation generated is twice the angle of the Mirrors], Thus we only get 180 degree rotations
In 2D, it's a point reflection, and thus point reflections in 2D are 180 degree rotations
fair birch
What is latex
zealous garden
For C^N, we have N different 180 degree rotations being applied when we multiply by -1, one in each complex plane. This n-fold rotation isn't really the same as the idea of rotation we began with, it's the composition of many of them though so it's not too far off.
That is, it's a rotation in the same sense that [general] rotations are reflections
And for R^n, we have the C^floor(n/2) case, plus one last reflection
storm sage
What is latex
it's the software that lets you render pretty mathematical equations
for example [x^2 + 1 = 0]
fathom swallowBOT
mollifiERIC
zealous garden
Hey its Eric!!!
zealous garden
Nope, but what do you think of my reflection rant
long matrix
it's the software that lets you render pretty mathematical equations
the computing nerds wont let u off for that one
zealous garden
the computing nerds wont let u off for that one
I'm letting him go because he's Eric
storm sage
Nope, but what do you think of my reflection rant
Idk what you were talking about but SCHWARZ REFLECTION PRINCIPLE
zealous garden
And because he answered me
storm sage
the computing nerds wont let u off for that one
Wait what
What did I say that was wrong
storm sage
is it not also the software
storm sage
idk, wikipedia calls it a software system
long matrix
ig, when people say software
i think of like
something that appears in my taskbar as an icon
silly me
long matrix
so python is a software?
long matrix
I think of something I can invoke from the command line
yes that counts ok
storm sage
Because I have some stuff like matlab installed but no icon for
amber orbit
I'm afraid that after my EGG arc comes to a completion I'll be retreating to the...
lol
storm sage
so python is a software?
I feel like in general it would be a language but the stuff you download on your computer in order to run python is software? 🤔
Not really sure
long matrix
well theres like
python something something in cmd line
that feels more softwary to me than latex..... but i know little about latex actually
zealous garden
so python is a software?
No
long matrix
it's the software that lets you render pretty mathematical equations
in any case, i suppose this is the most helpful answer 
zealous garden
Python is a language, which is a standard
long matrix
ok but what about the compiler
zealous garden
The interpreter is a software
zealous garden
Is latex a standard which (potentially) different softwares adhere to, or a specific program
long matrix
well like idk
i think u install some plugin in your IDE
to compile it
i know too little
storm sage
I feel like latex is a specific program
long matrix
like to interact with it, I know of no such thing as 'latex'
zealous garden
I unknowns it is too
long matrix
you use overleaf, visual studio, whatever
storm sage
Overleaf just runs latex on their servers
zealous garden
like to interact with it, I know of no such thing as 'latex'
Sure, but you probably don't think about the drivers you use
Or the dozens of pieces of utility software under the hood that your OS launches
But that's all software as well
zealous garden
A simple example is OpenGL or DirectX, those are less pieces of software and more standards for what the actual software (the drivers) should implement
long matrix
zealous garden
In this case, it's the difference between a patent and a product utilizing the patent
That is a very close and appropriate analogy
uncut socket
@marble bobcat
#help-1 message
Fyi, they aren't really trying
molten flint
Can you make jokes on this server?
solar hawk
Can you make jokes on this server?
besides you, nah
molten flint
Good morning
patent quartz
Thats so messed up
solar hawk
IM SORRY
solar hawk
no i said sorry
patent quartz
No no no
molten flint
What are you folks working on today? 😀
patent quartz
You hurt the burritos feelings :((
molten flint
My feelings are good no worries!
patent quartz
What the hell.
slate turret
What are you folks working on today? 😀
Stochastic Processes
molten flint
Nice
slate turret
It's much harder than I expected
Like I really have to review my LinAlg and Prob well
molten flint
I dropped out of a maths master’s because I had that class and did not even know calculus at the time.
Don’t ask me how they even accepted me because I have no idea.
slate turret
Oof
molten flint
It’s OK I got a full refund for the program
slate turret
Taking real analysis is recommended before taking this class
molten flint
Yes
slate turret
It’s OK I got a full refund for the program
Nice
molten flint
I will self study maths and further maths a level
Going through the book
I really enjoy mathematics
slate turret
That's great! I hope you enjoy your journey
I want to self study more as well but I have to cram because of uni
I really enjoy mathematics as well
molten flint
Are you based in the UK?
slate turret
Nope US
slate turret
I'm a bit torn between RemNote and SuperMemo atm
static loom
thank you for your opinion
molten flint
Anki uses an algorithm so that just when you are about to forget the flash card the flash card pops up again to solidify longer term memories.
slate turret
Anki uses an algorithm so that just when you are about to forget the flash card ...
Yes it's really cool
That algorithm comes from a software called SuperMemo. When I looked into it, I found a polethera of other techniques for learning things in the long-term
slate turret
People use SM-2 and SM-5 which are open-sourced but SuperMemo is currently running on SM-17
It's mainly on Windows only
molten flint
I’ll look into it thanks
slate turret
Ofc!
Beware though- don't expect to get a lot out of it immediately
You'll burn yourself out if you do that
It has a steep learning curve and the UI is very old looking
But
If you're willing to deal with all of that, it's definitely worth a shot
slate turret
I’ll look into it thanks
Let me know how your journey goes! I'm curious to see where you go
limpid rock
wow
tiny saddle
Elo
amber cairn
so i have a math question
open bronze
Something has been troublign me
So I have been getting into Deep Learning
and I have noticed that there are many things that I was not aware of earlier that I need to know, especially in Linear Algebra and Information Theory
I wonder how can one get along with Deep Learning while sustaining to read through Linear Algebra
Suggestions?
One thing I do know is that I can skip theoretical formal treatment to Linear Algebra
torn willow
Well apparently this book is designed for people wanting to learn LA for ML
#linear-algebra message
open bronze
Thanks, I will give it a look
I am just done with Mathematical Stats, and I thought many of my problems will go away but then LA struck me too hard
Was not expected
frosty ginkgo
Well apparently this book is designed for people wanting to learn LA for ML
http...
yes you are right!
fierce ether
Probability challenge!
https://math.stackexchange.com/questions/4673514/the-probability-of-throwing-the-same-value-value-not-fixed-on-a-n-sided-fair
fiery tangle
quick question: are the hyperbolic functions defined over the complexes
river moon
you can define them over complex numbers if you want, if that's what you're talking about
fiery tangle
i mean by definition
little vine
does anyone have a whiteboard/notepad app they recommend?
Onenote works fine for me
river moon
there isn't a single definition
fiery tangle
cuz i'm putting down its domain and range
fiery tangle
there isn't a single definition
ohhh
ember urchin
hi
vapid bronze
does anyone have a whiteboard/notepad app they recommend?
Obsidian, notion, concepts ...
alpine kindle
anyone knows what set S is...
the image of the corresponding functions
frigid matrix
inverse tan for example is a partial function because it isnt defined at a couple of points
frigid matrix
https://proofwiki.org/wiki/Definition:Complex_Inverse_Hyperbolic_Function
if you click on the link for each function with domain S it tells you what S is
small wasp
I cant find a channel that does "Theory of Computation" is there any channel here that works with stuff like Finite Automata?
fiery tangle
if you click on the link for each function with domain S it tells you what S is
bruh xd
devout nacelle
I cant find a channel that does "Theory of Computation" is there any channel her...
#discrete-math might be fine, if you have a more theoretical problem, you may consider #foundations instead
neat lintel
what do you guys think are the differences between the learning outcomes in a course named "differential geometry" vs "euclidean and non euclidean geometry"?
devout nacelle
What exactly do you mean by learning outcomes here?
The two classes certainly cover different material I would assume
neat lintel
as in the content you might expect to be covered
small wasp
<#496785905474994186> might be fine, if you have a more theoretical problem, you...
sounds good thanks. i figured out my question for b4 so ill use this for the future 👍
devout nacelle
"Differential geometry" could cover anything ranging from geometry of curves and surfaces in 2 and 3 dimensions to (smooth) manifolds and/or Riemannian geometry or such, assuming it is the first such course at any institution
This can require a certain amount of prerequisites, and can often be an advanced course
"Euclidean and non-Euclidean geometries" might focus broadly on plane Euclidean geometry and alternate geometries that came into being (hyperbolic geo, spherical geo, etc.) at a (presumably) elementary level
Something like Coxeter's Introduction to Geometry can give a reliable guide
I would also guess such a class would have lesser prereqs
alpine kindle
"Euclidean and non-Euclidean geometries" might focus broadly on plane Euclidean ...
it could also be more general looking at n dimensions
depends on the course
neat lintel
Ya'll make some good points
devout nacelle
Hmm, I've generally seen courses of this nature to stress more on plane-old (coordinate-free) Euclidean geometry from school
To bring "non-Euclidean" geometries in contrast
neat lintel
I think I'll go with diff geo
devout nacelle
As the ones that break the parallel postulate
neat lintel
Shock moment when they say parallel lines intersect at infinity
devout nacelle
I think I'll go with diff geo
If you're trying to choose between classes, best to check the course curriculum, prereqs, etc. first
Well it's not all that bad if one stops assuming different geometries from the perspective of Euclidean geometry
It seems wack when we try to "visualise" a lot of these things but that's kind of the point of these alternate versions, that which cannot be visualised the same way can still be formally conceived and generate interesting math
(this is also true of higher dimensional Euclidean geometry I guess, although a little less so)
devout nacelle
I think I have a hard time visualising spaces with constant negative curvature 
alpine kindle
elliptic and hyperbolic geometry aren't that weird in 2d
devout nacelle
Visual presentations still exist though, and they're of course handy
neat lintel
You can code up simulations where the space obeys different geometries
alpine kindle
I think I have a hard time visualising spaces with constant negative curvature <...
i like to think of it how the game hyperrogue does it
on what they call a "hypersian rug"
devout nacelle
I've been meaning to play that game just to get a better feel for the Poincare disc model
neat lintel
maybe I should take computer graphics at some point
alpine kindle
I've been meaning to play that game just to get a better feel for the Poincare d...
they have like a million other visualisations too
alpine kindle
the game has so much content it's absurd
you can play in so many different geometries
there's even a fucking 3d mode
devout nacelle
echo tundra
the game has so much content it's absurd
which game?
alpine kindle
hyperrogue
echo tundra
Interesting
alpine kindle
procedurally generated roguelike in hyperbolic space
cinder zephyr
I cant find a channel that does "Theory of Computation" is there any channel her...
in #old-network there's a CS server
that would probably be the best
small wasp
Honestly it’s half math half computers so was unsure haha
leaden torrent
yeah we dont have an explicit channel here
some topics can fit in certain channels if you squint
like computability can go in #foundations
but unless you have a specific mathematical POV in mind, youre probably likely to have more success in a space dedicated to (theoretical) CS
vale lynx
"Differential geometry" could cover anything ranging from geometry of curves and...
Riemannian geometry of n-space, metric tensors, various curvature concepts and their relationships, covariant differentiation, geodesics, parallel transport.
what would this be in terms of "difficulty"
im taking this next year
devout nacelle
what would this be in terms of "difficulty"
First course in Riemannian geometry, definitely an advanced course but I can't really put a number on it
half remnant
Broo
I have a question
One day at flight school there was a man who wanted to sit on a jet plane named O S N A I R L I N E S and when he saw the word he was confused by the seat number 1895. If the word O S N A I R L I N E S is rewritten as much as possible then the letter 1895 is
??
The right answer S??
Or N??
long matrix
hasty leaf
Woof
quasi phoenix
One day at flight school there was a man who wanted to sit on a jet plane named ...
what is this question
a man saw a word and got confused by a number "1895"
vocal vessel
Or N??
from itertools import cycle
letters = cycle("OSNAIRLINES")
i = 0
for c in letters:
i += 1
if i >= 1895:
print(c)
break
>>> N
word = "OSNAIRLINES"
print(word[1895 % len(word) - 1])
>>> N
rustic wraith
reef crow
Hello, I wasn't too sure where to post this question but it felt the best fit for here. I am a first year, almost second year math and physics student and I was hoping to study GR. However, before even jumping into GR I wanted to understand the math prereqs that I need. Because I want to have a strong understanding of the material before going into the subject. At the moment I am learning topology from munkres' book, I am also in the process of studying from analysis on manifolds by munkres. For my linear algebra background I have gone through hoffman and kunze and LADR. So what is recommanded I do next, after the topology and analysis on manifolds. Thank you
deep mango
Hello, I wasn't too sure where to post this question but it felt the best fit fo...
analysis on manifolds and linear algebra are the most important things, you will also need to learn a little bit of Riemannian geometry for GR (this is like, the next step after analysis on manifolds)
Stuff about metric tensors / connections / geodesics / curvature
And that's about all you need for GR
knowing some basic stuff about the wave equation from PDEs couldn't hurt either
tall minnow
Get this book
https://www.amazon.com/Semi-Riemannian-Geometry-Applications-Relativity-Mathematics/dp/0125267401
reef crow
analysis on manifolds and linear algebra are the most important things, you will...
for riemannian geometry is differential geometry a requirement?
tbh I would imagine so
deep mango
yeah but differential geometry is literally like
analysis on manifolds + riemannian geometry
those are the two areas of differential geometry
reef crow
Oh I see
and what about tensors? We saw them a bit in our linear algebra classes but then I looked online and the physics one was a little different
deep mango
they'll get covered in the way they're needed when you do more manifolds stuff
and riemannian geometry stuff
alpine comet
I am actually in a roundabout here. I'm finishing my undergrad, and applying to MSc programme. I have been doing both CS and Maths my whole life, studying both on high level in HS and doing a double-major degree. But I don't really see a way to continue. Has anyone switched field (CS to Maths, and vice versa)?
I got admitted to CS PhD track where I am allowed to take virtually any courses that I like (include, say, homology), but I'm still not sure if this is the path I wanna go. On the other hand, fundamental maths is a bit, say, too fundamental to me.
tall minnow
I got admitted to CS PhD track where I am allowed to take virtually any courses ...
What do you consider to be fundamental maths
alpine comet
Good question, but I think everything covered in a Pure Maths programme
Say, for instance, Differential Geometry 😄 (I know anything can be applied, but that's another story)
vivid halo
but you mention homology?
alpine comet
As an example. Also they found a way to use it in CS, so I guess it's not so good of an example
tall minnow
Hard to say. If you want to learn maths without learning pure maths you're kinda going into the bushes
vivid halo
I mean there is lots of interesting applied mathematics as well
tall minnow
You should not confuse applications with rigor. There's a lot of applied maths that relies on rigorous foundations
vivid halo
but lots of pure mathematics becomes applied mathematics later, and it helps to understand pure mathematics (as you give the example of persistent homology, this is something where having a background in algebraic topology helps immensely, even if now stuff in persistent homology has been exposited about in a more applied way)
alpine comet
exactly, with topological data analysis and all
tall minnow
One of my phd friends is doing tds
alpine comet
I learned from my thesis that it's soo useful to have a good foundation in Maths, but if I go beyond, I will need some good courses. I cannot just learn from books.
tall minnow
You can just learn from books. This discord is pretty good about it
alpine comet
And if I have to learn advanced maths, better do it now than latter
tall minnow
There are many highschoolers here just learning from books
Uni courses in the end are to make you become a self-learner
If you're already at phd level everything is just self-studying
If you have any questions you can ask here.
vale plover
storm sage
I think it'd be fine to take analysis, but it depends on your specific course
It might help to email your prof to ask if there are any specific prerequisites they recommend
Ah
Yeah it's probably fine
burnt dune
little vine
You could front load with abbott.
coral bison
@queen forge
queen forge
yes.
queen forge
<@966086507754573834>
the reason math pi exists is because the old people who created math decided to not measure the circle because it was too hard.
they were too bias in their thinking.
so they put a point decimal to it that went forever.
queen forge
<@966086507754573834>
what I found fixes that.
so that the circle can be stable and it can be measured like that.
queen forge
<img src="https://upload.wikimedia.org/wikipedia/commons/thumb/7/71/Euler's_formula.svg/180px-Euler's_formula.svg.png" alt="Euler's formula.svg"/>
coral bison
They proved pi repeats infinitely, by analysing what it even means for things to repeat infinitly and stuff, I don't understand it but yeah
queen forge
t = t3 + s + m cubed by itself.
you start by surrounding the entire thing by a cube with this equation.
coral bison
This guy has some interesting content on numbers https://www.youtube.com/watch?v=elvOZm0d4H0
You might like that
queen forge
get out some paper and do it with me.
w + y + d = lt1 with pi,
then t = t3 + s + m cubed by itself.
coral bison
Yeah sorry im lost lol
solid snow
theyre talking nonsense dw
idle slate
If you're already at phd level everything is just self-studying
Well, not entirely. There are graduate courses, or even beyond that there are certain types of conference that are basically just a very advanced classroom course/courses (where everyone is auditing). I'm not sure I'd call that self-study so much as choosing to attend an optional class.
sharp cave
Well, not entirely. There are graduate courses, or even beyond that there are ce...
It is mostly self-studying in the sense that even though you are being taught the material, the material is usually advanced and filled with details that you can't get a proper understanding of the subject unless you self-study. This is opposed to like undergrad level where just paying attention in the class is sufficient to get an understanding of the material.
feral sentinel
hey guys... do you ever feel like you overanalyze problems/theorems??
That's what I feel like rn because i legit take hours thinking over a simple theorem looking for different approaches to understand it, and never feeling satisfied with my understanding of it.
for example, the quadratic formula.... straightforward but i still wouldn't say the concept is clear in my head. if someone quizzed me on it, I would be able to answer confidently, but i can't stop thinking over it until i am forced to move to the next topic...
just wanted to know if you guys go through the same thing
tall minnow
feel free to think, but don't think uselessly and aimlessly
after a while you know whether some kind of thinking is likely to lead to nothing
feral sentinel
after a while you know whether some kind of thinking is likely to lead to nothin...
i dont think i have that ability lmao
this kind of thinking makes my concepts really strong, but there are other ways to strengthen them without thinking for hours
tall minnow
whatever you enjoy do it
You will know when you rush yourself if you have a deadline
for me my time is mostly spent on proving theorems myself
if I can prove it myself without consulting the proof, I understand it well
feral sentinel
my mind usually goes back to previous foundational concepts and i keep going back to them... it really slows down the thought process
feral sentinel
whatever you enjoy do it
You will know when you rush yourself if you have a dea...
that is good advice but i feel really sluggish at this pace
tall minnow
sounds like you already know what to do
feral sentinel
sounds like you already know what to do
maybe i do... idk. im kinda lost rn. all my efforts to stop overthinking go in vain but i guess i have to try anyways
tall minnow
I can't really offer any validation of your methods. I can only speak of myself. And that there are so many more things to prove and learn and I can't wait to get to them
feral sentinel
thanks a lot for taking the time to have a conversation. it cleared my mind up to some extent
will get back to studying... what else can i do lol
alpine comet
hey guys... do you ever feel like you overanalyze problems/theorems??
That's wh...
That's how I learned, especially Olympiad stuff: while one spends hours to solve 10 problems, I solve 1, then think about how to create 9 more
It gives you the ideas and tricks of the proof, which is are far more important. But try to limit yourself to a few hours only, then move on to something else. Find something new to overthink about, that'll be more productive.
balmy elm
this kind of thinking makes my concepts really strong, but there are other ways ...
Could be overthinking , or unproductive thinking ,
I used to have this problem of being inefficient with theme generation, for me my issue was doing overly complex problems ,
so details obscured the theme I was truly interested in .
E.g learning about the theme of organisation from attempting advanced bijection Q , totally unnecessary and would be much easier if I just started with a simpler problem with less distractions
Personally I never focus on individual problems , only the themes behind those problems
i.e thought processes which lead to solutions. i.e . Decision making processes like organisation, chunking , simplification etc
Also
I have much more thoughts than this to share on the topic if your interested
finite stirrup
hey guys... do you ever feel like you overanalyze problems/theorems??
That's wh...
Kinda
For me, answering the questions are easy
But I don't really understand the concept of it
I don't even know what its used for
neat lintel
dreamy bluff
is there a difference between how I should treat help-forums and the individual help channels? Are the help channels more of a one to one forum where we identify the challenges of the individual and help remedy those and the forums more general where we post the general thought process in solving a problem? Or are they practically the same?
dreamy bluff
ok, ty
arctic coyote
Hi
tardy barn
satisfying
Wait till you find out about complex fourier series of the simpsons
long matrix
alpine kindle
wdym by "math people"
alpine kindle
how?
long matrix
i dont think everyones like that
or even close to a majority
But you think a significant portion are like that?
It also depends on how you interact with them.
I mean yeah, I've heard something like this being the case in places.
not sure if ive experienced it.
alpine kindle
what maths communities have you been involved with where that's the case
woven whale
syndicate
torn willow
Did you like see a toxic subset of comp math community
alpine kindle
no i was just wondering where the bad experience was from
not trying to debate you
amber orbit
yes
full vapor
how to gain brain cells?
small dust
i like math people but hate math 🙂
alpine comet
interesting
cold needle
no i get this
it always feels weird to talk to math people for some reason
I hate talking about math to math people sometimes
i cant place my finger as to why though
Even here talking about math is often frustrating
cinder zephyr
I don't quite have this
I kind of have the opposite issue
With exception of like 2-3 math grad students I've met
The math grad students in my classes don't seem to want to talk to me
But the CS grad students I've met have been the nicest people
And then fellow undergrad math majors seem to be very hard to meet, despite taking math classes 💀
cold needle
The math grad students in my classes don't seem to want to talk to me
i sort of have this; the ones in my dept are warming up to me
Talking to other undergrads in my uni would be fine except that most of them just ask about what classes to take so its like
cinder zephyr
All the pure math people I've met in my undergrad classes have been very closed off
cold needle
oof
cold needle
Yeah
cinder zephyr
I've taken more grad courses than the average undergrad so they really only want to take about classes with me
cold needle
like please stop asking me about my classes thats the last thing i want to talk about sob
i can rattle off fun facts maybe
cinder zephyr
And we also have no real math club which sucks
cinder zephyr
I started one
cold needle
good
cold needle
oh i see
cinder zephyr
But running one is one thing
I would like to be like "head empty no thoughts let's go meet fellow math people"
Rather than worrying week after week about upcoming topics and making presentations
cold needle
yeah
cinder zephyr
The CS theory people I've met have been nothing but lovely
And so have the profs
But the math grad students + profs have been hard to interact with
Maybe it's a me issue idk
void spindle
anyone know the best free data visualization software
cinder zephyr
Learn Python and use matplotlib / plotly
void spindle
Learn Python and use matplotlib / plotly
i’ve messed with that a lil bit
any good places to find tutorials?
tall minnow
And we also have no real math club which sucks
I have always found the idea of a math club funny
when you're already in a math dept
cold needle
do you mean that the department ought to already have some sort of regular events that undergrads can come to
tall minnow
there are many such events I have been to. like halloween party, end of month tea party, some beer competitions with other depts
cinder zephyr
I have always found the idea of a math club funny
when you're already in a math...
I think it's nice to have talks that undergrads can understand + a way to meet fellow people in the major outside of classes
Yea see we don't have any of these lol
tall minnow
there should be graduate lounges
or undergrad lounges
or faculty lounges
people pop in and chit chat or eat lunch
cinder zephyr
Undergrad lounge was always very dead and not a good hangout area
And now math building is undergoing renovations so lounges and such will be closed
cold needle
there are many such events I have been to. like halloween party, end of month te...
dang thats rly nice
my dept does not do this
We (the undergrad club) have to do all this ourselves using funding from the dept
we also don’t have an undergrad lounge 
we have other two lounges tho
tall minnow
yeah I guess it sounds nice but I have rarely been in a festive mood as I keep thinking about the projects I'm working on
I suppose other math faculty are also the same
cold needle
chrew
tall minnow
Undergrad lounge was always very dead and not a good hangout area
unironically discord may be the best way to connect
due to its asynchronous nature and people can pop in while they are working / studying
cinder zephyr
We have a UIUC math discord
tall minnow
I once organized a discord for a class during COVID and it was best class I ever taught
cinder zephyr
Very dead + mostly used to ask about classes
tight comet
We have a UIUC math discord
no way
cinder zephyr
It's not official
tall minnow
it was rough to get the ball going but when it did everyone started talking and chatting about anything from math to entertainment
cinder zephyr
Multiple courses at UIUC have large official discords though which is nice in some aspects (easier to discuss than traditional forums)
cinder zephyr
it was rough to get the ball going but when it did everyone started talking and ...
Yea it's very dead lol
tall minnow
you have to know people and give people a purpose to talk. for instance in a class, discussing a problem with each other is a good reason for people to pop in
cinder zephyr
The discord for the math / algos club I started is also quite dead
tall minnow
if people don't have a reason to pop in they won't
cinder zephyr
Yea
Hard to come up with a reason. I had a brain teasers channel but like
Hard to find good brain teasers
It's open for other people to submit some though and that's helped a little bit I think maybe one gets submitted a month
haughty lintel
My uni doesn't really have many undergrad math majors so its been rough to find peers that enjoy math for me as well. There are only 5 students in my honors calc 3 class and 2/5 are CS 1 is econ. so only me and another are actually math students :((
neat lintel
My uni doesn't really have many undergrad math majors so its been rough to find ...
this why I double majored in math and cs. There's more opportunities for socializing on the CS side
cinder zephyr
yea all of my socializing has been in the CS side
which sucks sometimes
cause sometimes I wanna just hang with pure math people
neat lintel
Idk even know what's that like irl
winged token
yea all of my socializing has been in the CS side
yea
cs people are like monkeys sometimes its tough
neat lintel
is there a formula for the common ratio in geometric series
haughty lintel
this why I double majored in math and cs. There's more opportunities for sociali...
i double majored in finance (mistake tbh. I dont even get to take finance classes), so most of mine is through bus kids which well, tend to care a bit less about studies. still a lot of hardworking people but just not really the same haha. CS majors i have met tho have been cool people but yeah sometimes i just wanna chill and talk math
zealous garden
cs people are like monkeys sometimes its tough
ping me next time
cinder zephyr
is there a formula for the common ratio in geometric series
what is the ratio of a geometric series?
can you define it for me?
neat lintel
Who in here likes science
fossil bolt
bronze pelican
is there a formula for the common ratio in geometric series
((n+1)th term)/(nth term)
neat lintel
i double majored in finance (mistake tbh. I dont even get to take finance classe...
I was thinking of minoring in finance cause I have friends who are into finance and my uni is one of the best for finance in the state
There's definitely space in my schedule but idk. I want courses that boost my interpersonal skills and a business minor might offer that
haughty lintel
if there is room i think its prob a good idea then. Im still only a freshman but from my (limited) experience the bus classes are wayyyy easier so i wouldnt worry about that (even the "weed out class" at my uni is a joke compared to mv calc). You will need to do a bit of group work which can help you with that, and actual finance classes are fairly interesting imo. quant feels like a real career choice to me that is kinda the best of both world
i hated it, but bus public speaking did help me a lot
so while its def not as rigorous as stem there are still some really useful stuff there
neat lintel
I was thinking of taking public speaking one day
Pretty useful in all areas work related or otherwise
harsh lion
ye
neat lintel
I'm very happy to be friends with you all
pure cloak
@gray wedge
gray wedge
@pure cloak
pure cloak
hello
willow moon
Hi, are there any ongoing undergraduate reading groups right now?
neat lintel
I'm starting a analysis reading group for over the summer if you wanna join
willow moon
What book?
I'm quite interested actually since next semester I'm taking my first course in real analysis (yay)
wise plover
junior jolt
henlo
neat lintel
what beginner maths algorithm can i implement to improve skill issue in programming??
torn willow
Iterative variant of Extended Euclidean
haughty lintel
I'm starting a analysis reading group for over the summer if you wanna join
i have no analysis background but may i still join 👀
eager pivot
can i use my institutional gpa vs overall gpa for masters program applications
neat lintel
What book?
Abbott is what I plan to use though I'm not 100% certain on it yet
neat lintel
i have no analysis background but may i still join 👀
yep it's an introduction to analysis so anyone is welcome
solid snow
Use tao, use tao
neat lintel
I was thinking about that tbh
little vine
I stan Abbott
Never looked at Tao but Abbott is very well motivated with a lot of historical context
neat lintel
I read a couple pages of both and kinda just liked Abbott's more. though like definitely can't say for certain which is better lol
tight marsh
Is this a guy who wrote flatland
regal night
abbot's flatland was a really fun read to me back in sixth grade. it introduced certain concepts to me relatively earlier, which helped a ton in understanding many other concepts in the future.
oblique prawn
Abbott is what I plan to use though I'm not 100% certain on it yet
yoooo, consider using mathematical analysis by zorich
I plan on reading that series this summer
tight comet
Is Zorich's analysis readable for undergraduate level?
river moon
it's what the soviet and russian undergraduate students read
along with demidovich
it's basically real analysis at year 1
tight comet
dire cradle
Any CPGE students in this server ?
oblique prawn
Is Zorich's analysis readable for undergraduate level?
It is quite comprehensive, but it starts at the basics and ends with vector calculus
paper oyster
Is [a,b] different from [b,a]
fading zealot
(↑Answered in the main discussion channel)
I was reading the article for the number 0 on Wikipedia, and think the second sentence is a bit confusing:
In place-value notation such as the Hindu-Arabic numeral system, 0 also serves as a placeholder numerical digit, which works by multiplying digits to the left of 0 by the radix, usually by 10.
So basically what this means, is that in Hindu-Arabic number system, a 0 elevates the number left to it to the next place
It took me about 2 minutes to figure it out
Classic Wikipedia math article
storm sage
Never looked at Tao but Abbott is very well motivated with a lot of historical c...
I agree, Abbott is quite good (and gentle for newbies)
brittle socket
Like Enderton
vagrant sundial
Hi i apologize for this question but i really want to know. I'm 24, i've always sucked a math my entire life both because i'm a stupid idiot and because my teachers sucked ass. (i was always able to pass years because of my good conduct and because i was decent at other stuff)...
I've been trying to study math and practice on my own every year since i got out of high school and long story short i suck. I suck really bad i think i have some dysfunction in the brain or something. Can anybody confirm this that even though i keep relearning the same fucking shit every single year i still can't solve simple stupid problems without having to be explained a concept before?
For example, i can learn most concepts, i can learn the algorithms to solve stuff, for example how to factor, how to solve for one variable, equations, inequalities etc. But the absolute first moment i need to apply anything to an actual problem i go full fucking useless piece of trash.
I even tried brilliant cause i thought maybe i needed cute pictures. I failed a simple v=d/t problem even though i already knew how to solve for any of the variables and how speed works. Same thing with most new word problems.
tl;dr how can i finally convince myself that i'm too stupid and give up? What is wrong with me?
i like math, and i need it for my job (programming) but i can't stand anymore how it makes me feel
a friend keeps telling me to push through and i always want to believe him but then every day i want to shoot myself dead in the middle of my useless brain because of my stupidity
vocal vessel
I feel you. Math sucks
vagrant sundial
I feel you. Math sucks
Math doesn't suck, it's beautiful when you understand it. I suck
Isn't that just memorizing the algorithm to solve those specific problems
vocal vessel
It’s cool and all but it sucks. Deep down you know it
bright hill
let's not project our own opinions onto other people
woven whale
let's not project our own opinions onto other people
opinion: darq is cool
fact: darq sucks
torn willow
Alternatively you hate your existence more than you hate math
brittle socket
vocal vessel
Didn’t say I hated math. Just that it sucks. It kicks you when you’re down.
summer fog
Someone explain to me what quarter 2 means, personally I think it means quarter past two but apparently it means something way different
hasty leaf
Can it be that the way its taught sucks thou but subject is great
brittle socket
Didn’t say I hated math. Just that it sucks. It kicks you when you’re down.
That's probably dependent on your mindset
summer fog
Cause I get told to come at quarter 2 and I come back at 2:25 but get told to come back at quarter 2
brittle socket
Doing math doesn't inherently affect you negatively
summer fog
Am I just stupid or can I not understand time cause quarter 2 either means 1:45 or 2:25
vocal vessel
It does me 😝
hasty leaf
Shouldn't ideally
vocal vessel
“Quarter to” to me means 15 minutes before the specified hour. But they didn’t say to what? “Quarter to three”?
summer fog
They said quarter 2 which would mean 1.45 in your terms, if they said quarter 3, then it would make more sense 2.45
vocal vessel
Depends on the context that it was said in I guess.
summer fog
I keep getting told quarter 2 at 2pm and I come back 2:25 thinking it’s quarter past 2 but apparently they mean 2.45
alpine kindle
Am I just stupid or can I not understand time cause quarter 2 either means 1:45 ...
i think they were saying "quarter to" not "quarter 2"
vocal vessel
If it’s like 3 and they say we’re taking a short break come back at a quarter to. I’d assume they mean 3:45
summer fog
i think they were saying "quarter to" not "quarter 2"
Oh yeah maybe, quarter to
vocal vessel
That’s literally what I said 😳
alpine kindle
with an implicit 3
summer fog
So much easier when they are more specific, makes it hard to just say quarter to when it 2pm
Better to just say quarter to 3
vocal vessel
Explicit is always better than implicit.
summer fog
Well, that’s sums up everything cause it’s been confusing me for a while now
vocal vessel
The one I hate is “of”. I never know if it’s before or after.
long matrix
Didn’t say I hated math. Just that it sucks. It kicks you when you’re down.
if this isnt skill issue 
math did nothing to u
and to be clear i dont mean math skill issue
proud olive
Didn’t say I hated math. Just that it sucks. It kicks you when you’re down.
#discussion message I am a horrible person with too much freetime
vocal vessel
I know I’ve said it in the past which is why I explicitly said “I didn’t say” referring to this current instance. 😉
Had I claimed to never have said that, I would have said “I never said I hated math”
proud olive
but why are you in a math server when you seem to dislike math so much?
Feels like you've been saying that math sucks for over a month now
To each their own ofc. Not telling you to leave
neat lintel
he should leave though
long matrix
<@&268886789983436800>
leaden torrent
grow up
vocal vessel
For the bants mostly. And occasionally I need math help from people when I’m programming because I’m hopeless at the maths part. This server has helped me twice so far 😅
neat lintel
bruh i was just checking some repo and i saw illum as a contributor
woven whale
bruh i was just checking some repo and i saw illum as a contributor
which one
woven whale
bro
that's not "some repo"
I was part of together java for like 3 years
I was staff there
I have 100k+ messages on the discord
I wrote up the first bot for it myself
neat lintel
holy shit 100k
neat lintel
how do u write bots in java
woven whale
jda
neat lintel
ty
tall minnow
I was part of together java for like 3 years
how old are you now
woven whale
how old are you now
too old
long matrix
hasty leaf
Woof
rocky shuttle
too old
woven whale
discord TOS violation
what?
woven whale
Maybe this gives me a good reason to ban illum?
massimo move
woven whale
it's the only way I can boost my ego
untold sage
We do not welcome pedos in this server.
woven whale
because u joined discord like way before u were 13, i am guessing lol
I am over 13 now
eager reef
massimo move
That would be just banning you
neat lintel
That would be just banning you
technically