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/mg/ - Math general

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Thread replies: 314
Thread images: 35

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No physishits edition.

What are you studying, /mg/?
>>
physics
>>
>>9130740
Please use the physics thread to discuss physics. This is a math thread.
The relevant thread is attached below.
>>9130690
>>
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Let's see you do this introductory excercise in algebraic topology. Undergrad 3rd semester.
>>
>>9130747
what's the exercise?
>>
how do i apply muh mamadicks to ask grills out /mg/
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>>9130751
Did you ever do an excercise in math? Obviously you have to proove it.
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>>9130761
Proof: Think.
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>>9130758
>>>/b/
>>
>>9130761
wtf is hom inverse?
>>
>>9130769
I believe it's an integral. Try asking here >>9130690
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>>9130766
I tried asking them but they just said I have ass burgers
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>>9130773
don't you have math friends?
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>>9130777
Nah, try asking in >>9130690
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>>9130779
no one else is here to help you with your homework so why not engage in a conversation?
>>
>>9130782
I don't know, try asking in >>9130690
>>
>>9130784
i'm sorry you're having such a hard time with math. are you new to 4chan?
>>
>>9130789
I'm not really sure how to answer that, try asking in >>9130690
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>>9130769
Chapter on cofiber bundles, section 2.
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>>9130794
i don't have that book.
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>>9130747
>>9130794
>mathematics
Please move to the math thread. This one has been defiled by dog-eaters.
>>
>>9130793
have a (You)
>>
>>9130799
I don't really know how to respond, you might be better off posting these types of posts in >>9130690
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>>9130796
Try different one then. I can't explain it concisely enough here, not to mention i'm not entirely confident in my understanding of it. I've already done my homework, i just want to see if there's a simple way to prove it.
>>
>>9130805
>i just want to see if there's a simple way to prove it.
Just claim that it is intuitively clear. We do that all the time in physics :D
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>>9130817
just because you can't answer my question doesn't make me right
>>
>>9130817
No you don't. I'm on a project with theoretical physicists and apart from wonky notation, they're quite rigorous. If you can't prove my excercise, please refrain from distracting everyone else that might.
>>
>>9130829
>I'm on a project with theoretical physicists
Same here :D
We mainly use our physical intuitions though. Ain't got time for that "rigor" bs
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>>9130830
Yeah you use your intuition to know fields representing fermions anticommute, but you still prove it when you have to.
>>
>>9130864
>but you still prove it
Nope. I use physical intuitions and experiments. I literally do not believe in math.
>>
>>9130869
>can't into physics
>is jealous of physics fags for being able to appreciate various fields of knowledge
sad!
>>
>>9130870
>can't into physics
I'm a pretty good physicist though. I have an extremely developed physical intuition. There is no need for proofs.
>being able to appreciate various fields of knowledge
Nah, fuck math.
>>
>>9130872
>mathfag attempt at parody
just stop
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>>9130875
How can I be a "mathfag" when I don't even use math?
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>>9130878
good point you're a pop sci fanboy now get >>>/out/
>>
>>9130879
I'm a theoretical physicist, not a pop-sci fanboy. I just despise math and I don't use it.
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>>9130881
prove you're a theoretical physicist
>>
>>9130884
I don't believe in proofs.
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>>9130888
neither do most people you have only proven you aren't a mathematician
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>>9130890
I couldn't care less about "most people". They're mostly fucking retarded anyway.
>>
>>9130892
all you've proven is you're one of the people who doesn't care about proofs, which puts you outside of the set of mathematicians, nothing more.
>>
>>9130890
I see. I didn't notice that you didn't notice.
You asked me to "prove I'm a physicist". I can't "prove" this since I don't believe in "proofs".
>>
>>9130893
I can't "prove" I'm a physicist since I don't believe in "proofs". You're pretty retarded, even for a mathfag.
>>
>>9130897
well then i can't take your word on anything you say that's physics related. sorry senpai. you're basically an engineer.
>>
>>9130894
You can prove it to others because others believe in proofs. Anyway, theoretical physicist with aversion towards math is doomed to failure.
>>
>>9130899
My words make sense to my physical intuitions. That's all that really matters in this world. You can go fucking kill yourself.
>>9130900
I don't engage in the activity of "proofs".
>theoretical physicist with aversion towards math
A lot of us actually despise math. Not everyone is so vocal about it though. And I'm pretty successful as far as I'm concerned.
>>
>>9130902
You're OP you friggin dumdum.
>>
>>9130904
That pic uses math. I don't use math.
Aren't mathfags supposed to be "good" at "logic"?
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>>9130905
You're OP and I suggest you leave your thread.
>>
>>9130910
That pic uses math and I have stated on multiple occasions that I don't use math.
Aren't mathfags supposed to be "good" at "logic"?
>>
>>9130727
i have found a formula, how do I prove it?
>>
>>9130913
Since when is using a pic that uses math the same thing as using math?
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>>9130917
You don't. You experimentally test it and check if it conforms to your physical intuitions.
>>
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Does anyone here know any decent math books that cover all the topics present in the art of problem solving books: volume 1 and 2?

I already have the first book but can't seem to find the second one anywhere so I think I will have to give up on this series.

Here's the list of contents of the 2 two books:
>Vol .1
https://s3.amazonaws.com/aops-cdn.artofproblemsolving.com/products/aops-vol1/toc.pdf

>Vol. 2
https://s3.amazonaws.com/aops-cdn.artofproblemsolving.com/products/aops-vol2/toc.pdf

If something like this is impossible then what are the best books for teaching yourself mathematics from the basics till prealgebra and precalculus.

Thank you.
>>
>>9130921
Please use the mathematics thread.
This thread has been defiled by dog-eating physishits
>>
Trig is definable by pure geometry.
>>
>>9130747
There is no topology there.
>>
>>9130918
I have stated that I despise math. I wouldn't want to further its existence by using math pictures.
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>>9130929
Physicists use math :D
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>>9130926
It's just some random garbage someone thought up. It has no real physical meaning.
>>9130930
I'm a theoretical physicist and I don't use math. Physical intuitions and experiments which confirm these intuitions are enough.
>>
>>9130932
>i want physicists to seem obnoxious so i can be left alone in my safe space
>ends up being the only person anyone in the thread is annoyed with
>>
>>9130933
This. Math is just pure made up garbage with no real physical meaning or interpretation.
You don't even really need it in physics if you're any good.
>>
>>9130934
I don't care much about other physicists. They are free to use math if they feel like it. I'll just fucking laugh at them for doing so.
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>>9130727

Took me forever to solve it but the answer was so simple: 60
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>>9130940
Cool. Nobody gives a fuck though. Math is just a waste of time.
>>
op can you make another thread? there are too many physishits in here. thanks.
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>>9130950
This is a physics thread now. You mathfags can fuck right off.
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>>9130747
Fuck this made up garbage.
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>>9130955
ok well i want more physicist to come to this thread so can you make one for physicists so that they know to use that thread?
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>>9130964
You could make one yourself if you care so much. I just want to discuss physics here, not math.
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>>9130966
it's just you who wants to discuss physics though and people are getting confused cuz it's in a math thread
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>>9130970
Nope, this isn't a math thread anymore. I have experimentally verified math to be invalid.
>>
>>9130973
HOw? I don't understand experiments at all but I don't think that's how they work.
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>>9130980
I just Showed that math is fucking garbage by showing that it produces answers which are simply not valid and not possible in our world.
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>>9130982
answers to what kinds of questions?
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>>9130983
To sensible questions. In others words things which are not made up garbage (like math).
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>>9130727
>Up on that new shit
>>
>>9130991
>math
Fucking garbage.
>>
>>9130769
That's actually h(m^{-1})
Basically, just follow the arrows from L_n bar to K_{n-1}.
It's all algebraic topology is about anyway
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>>9130805
Man you litteraly just have to write down what an exact sequence is, and just check that it indeeds work everytime, bc your diagram is full of exact sequences.
You just have to follow the arrows...
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Any ideas how to prove this? Or some good textbook on number theory, i suck at it.
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>>9131493
pretty non-trivial theorem if i remember it right, probably not easy to come up with your own proof
>>
>>9131500
Well there's a pretty big hint leading to ramification theory, since that's the section in which it is. But i still can't figure it out after two days. It's supposed to be freshman book, i'm about to start uni so i should be able to solve it, but i can't think of anything. A tiny nudge in the right direction is all i ask.
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>>9131519
http://www.jstor.org/stable/2319208?origin=crossref&seq=1#page_scan_tab_contents

> An Elementary Proof of the Kronecker-Weber Theorem
>>
Brainlet here

Through a glitch in my university's class registration system I'm somehow able to register for calc 1 without having taken any trig/precalc. My highest math course is college algebra. FWIW I got an A in that class.

Should I go through it? The prerequisites aren't part of any degree requirement.
>>
>>9131532
You should have learned that stuff in high school. If you did, register for the course. If you don't know it, you won't be able to do calc without mastery over that stuff.
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>>9131532
If you're a burger, your calc 1 is highschool stuff so you'll be alright. If you're yuropoor read Kolmogorov and you'll be able to pass it.
>>
>>9130940
brainlet here
how'd you do it?
>>
Let us say that I have a sequence of numbers.
I have found a formula for n-th term in this sequence
How do I prove that this formula is true?
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>>9132215
induction
>>
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Just finished Algebra 1, you can't call me a brainlet anymore, /sci/.
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>>9130940
Hahaha
Good job
Can't be 60 tho
Loser
>>
>>9130940
That is definitely not what I got.
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>>9132796
Actual brainlet here. How did you do it anon?
>>
What's wrong with physics?
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>>9130940
pretty sure the diagram isn't consistent
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>>9132887
Nothing.
OP is just an immature weeb.
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>>9132887
They make OP feel insecure because they are marginally less autistic and bully her relentlessly for it.
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>>9131662

I assumed line AB and DE are parallel. The diagram is visually very inaccurate.
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>>9132887
You mean other than it being garbage?
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>>9132998
If they were parallel, then DEC would equal 80 and alpha + DEC would be 140. Which is impossible as BEA is 30. The diagram is just so fucked up it's unsolvable (I think).
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>>9133053
>>9132998
Fuck I'm stupid, nvm. They are parallel, you just took the wrong angle. Alpha is 70.
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>>9130940
>>9131662
>>9132880
>>9132998
>>9133053
>>9133065
>>9133065
Alpha can realy be any number in (0,130), if you try to solve the system of equations

0 < a < 130
b = 130-a
c = 150-a
d = a+10
>>
hey i'm a physics grad math undergrads are retards
>>
>>9131493
The galois group of Q(nth root of unity)/Q is isomorphic to the multiplicative group (Z/nZ)^*
This group has order phi(n) where phi is the euler function. i feel like it should have an abelian subgroup, which would prove the claim
>>
>>9133169
(Z/nZ)^* is abelian so of course it has abelian subgroups
>>
Is it true?

> Why more physics can help achieving better mathematics
https://arxiv.org/abs/1708.07735

In this paper, we discuss the question whether a physical "simplification" of a model makes it always easier to study, at least from a mathematical and numerical point of view. To this end, we give different examples showing that these simplifications often lead to worse mathematical properties of the solution to the model. This may affect the existence and uniqueness of solutions as well as their numerical approximability and other qualitative properties. In the first part, we consider examples where the addition of a higher-order term or stochastic noise leads to better mathematical results, whereas in the second part, we focus on examples showing that also nonlocal models can often be seen as physically more exact models as they have a close connection to higher-order models.
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>>9133150
I ended up finding this anyone confirm?
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>>9133150
u can determine a singe value for alpha with trig, so u are wrong m8
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>>9133150
>>9130727
The solution is fucking insane btw
https://www.youtube.com/watch?v=HQc-54hQ8kw
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>>9133229
Can confirm. Degenerate system of equations.
>>
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Anyone got some good tips and tricks for b and c?
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Got this.

Am I retarded, /sci/?
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>>9133311
You can't assume it makes a 90° angle
>>
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What did they mean by this.?
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>>9130727
How to solve this with trigonometry?
>>
What would a real analysis course cover that I wouldn't have already learned in EE classes?
>>
>>9130727
>No physishits edition.
t. butthurt mathematicians get anally annihilated by the fact that physicists are better than them.
Keep crying, mathematard.
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>>9133571
>physishits are better than them
How can subhumans be better than humans?
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>>9133613
>humans
kek

We all know physicists have never seen sunlight because they are ugly subhuman filth.
There is a reason no mathematicians ever reproduce.
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>>9133617
>We all know physicists have never seen sunlight because they are ugly subhuman filth.
There is a reason no mathematicians ever reproduce.
sorry i meant mathematicians.
The jews confused me.
>>
>>9132887
>>9132905
>>9132913
>>9133152
>>9133565
>>9133571
>>9133619
Hey guys :) get back to your containment board!!!
>>>/toy/
>>
>>9133619
Assuming anything that is not proven (except axioms lol) cannot yield a proof. Any mathematician thinking otherwise is an idiot.
Those mathematicians that dislike the supposed "lack of rigor" in physics should also reject statements proven assuming generalized RH/CH.
>>
>>9133617
>We all know physicists have never seen sunlight because they are ugly subhuman filth.
Indeed.
>>
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>>9130727

Has /math/ ever heard of the strange case of Steven P. Haataja?

http://www.nydailynews.com/news/crime/math-professor-burned-bound-body-puzzles-nebraska-ranching-town-article-1.250799

Haataja, a newly-minted PhD and algebraist who took up a post in Chadron, Nebraska (pop. ~6,000), was found dead in a quite appaling fashion some months after moving into the town - bound to a tree and burned, in the dead of winter. It is easy to suspect foul play in such a situation, but there is also reason to believe that Haataja took his own life - he had suffered from depression, and after all, he was a PhD living in rural nebraska, and didn't have a car or a gf.

Haataja did impress himself upon the locals as being wicked-smart, but also a nice enough guy who would carry on normal conversations and actually go outside and such. Haataja's death and its impact on the people of Chadron is the subject of the flamboyantly-titled documentary "Love and Terror on the howling Plains of Nowhere", based on a book of the same name written by local and also-depressive-frustrated author Poe Ballantine.

I can only find two items associated with Haataja: the dissertation and a paper along the same lines done with his advisors:

https://search.proquest.com/docview/305273734

https://arxiv.org/pdf/1007.1192.pdf
>>
>>9133623
Choke on my dick, you little ass-pie.

:)
>>
>>9135169
>>>/r/taiwan
>>>/r/dogs
>>
>>9135117
that's weird man, maybe something snapped in him and he made the trek into the hills despite his physical state and did it to himself
>>
>>9135260

My father put me onto the film and I re-watched bits of it recently There is an image of a commutative diagram which appears in the film, which is similar but not identical to one which appears in the above links. Also an interesting graphic with circles based on Fibonacci which I should see about again. Dad is no math-guy but I am (at least to the point of having finished undergrad in it and generally enjoying the subject).

The connection is that dad's old bandmate retired and moved into the community, and so became aware of the story. Dad's friend gives dad a copy of the DVD after they last meet up a year or three back, and then it filters down to me. The thing plays like a small-town mystery but after actually watching it and weighing the elements, I incline towards believing that Haataja took his own life in a dramatic fashion - dad agrees, based on what had been described.

Dad's old bandmate plays chess with the autistic kid sometimes, last I heard.
>>
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>>9130727
Hey, I solved that one
>>
>>9133229
This can't be done with elementary equations. However, it can be solved using Law of Sines, as shown in >>9135577
>>
Is calculus II supposed to be hard or should i be concerned that im a brainlet?
>>
>>9130727
70 deg is you assume BA and ED are parallel
>>
>>9135599
if you have to ask...
>>
>>9135599
Calc II is hard at first but once you get it it gets easier
>>
>>9130727
Depending on your definitions, math is just a more general form of physics.

>>9130932
>Theoretical physicist
>Don't use math

pick one.
>>
>>9135622
>Depending on your definitions, math is just a more general form of physics.
lol no
>>
>>9130727
Vector calc for now
>>
>>9135626
Lol yes.
>what is an axiom
>>
What exactly does it mean when, at the beginning of a formal math paper, the paper is further introduced as having been "communicated" by such-and-such, in smaller language?

I generally take this to mean that the "communicator" facilitated the production of the paper by introducing the thing to such-and-such journal, generally helping, etc, but maybe there's another aspect to this. It's a goofy thing IMO.
>>
>>9135633
physics is the study of physical phenomenon it has nothing to do with math as a science
>>
>>9135596
no trig allowed tho, so we have to do it the degenerate way
>>
>>9135644
Where do you get your concept of counting, or geometry from? You get it from an experience of the universe, which is an analysis of physical phenomena (however qualitative to begin with).

If physics is the study of all physical phenomena, and all of your concepts of mathematics are derived from physical phenomena, then mathematics is a more generalised form of physics, which is not necessarily controlled by the boundary conditions of the universe.

It's kind of a play on words, but I do believe physics and math should be synonymous, with our current usage of the word physics changed to applied math or applied physics.
>>
>>9135663
they're different processes by a lot and i think that that's what defined them, not the qualities of knowledge they produce.
>>
>>9135676
Math is like the general equation, arrived at by proving logical consistency, physics is like the boundary conditions, arrived at by theory and experiment. They are two sides of the same coin, and I don't like the fact that people separate math as some kind of transcendental (excuse the pun) concept. Math is created by humans. Humans have brains that are part of the universe. Math is part of the universe. When you generalise things enough that it becomes totally divorced from reality, it is easy to make the mistake of thinking that it is separate from reality. Physics just constrains what parts of math are actually represented in nature.
>>
>>9135690
"physics" is some tools from math used to measure things. math describes things perfectly. they're so incredibly different.
>>
>>9135692
I could say physics separates the useful parts of math from the pointless parts. Math doesn't describe things perfectly, but it does a hell of a good job, and physics is exactly that job. Using math to describe things.

It sounds like you don't know much about physics, anon. It isn't just about measuring things. That's just how you prove a theory is correct. Yes, math is used in a more engineering sense for this. But there is also the development of theories, which is pretty close to pure math all by itself. The only difference, as I said, is that physics uses the universe for boundary conditions.
>>
>>9135720
>It sounds like you don't know much about physics, anon
bs but was taking grad courses as an undergrad. hbu?
>>
>>9135720
>But there is also the development of theories, which is pretty close to pure math all by itself
not even close
>>
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>>9135724
>bs but was taking grad courses as an undergrad. hbu?
>>
>>9135745
so high school diploma and a couple courses at a community college gotcha
>>
>>9135724
>"physics" is some tools from math used to measure things
>bs but was taking grad courses as an undergrad

You know shit all about physics if you think it's all about using math to measure things. And yes, I took a couple of grad courses when I was an undergrad. It's not that special.

>>9135727
Particle physics is basically group theory.
GR is basically differential geometry.
I could go on.
>>
>>9135759
>You know shit all about physics if you think it's all about using math to measure things.
It is though. That's all it's ever been. It's not a big special "has all the answers" place.
>And yes, I took a couple of grad courses when I was an undergrad. It's not that special.
Never said it was I was just telling you my background. You seem to be intimidated by it for some reason.
>>9135759
>GR is basically differential geometry.
the theory of GR uses tools from differential geometry i'd agree with you there. GR is a theory that uses results from mathematics..
I'd wager you don't know enough about math to be saying things like this.
>>
tbqh I am trying to figure out a way of how to prove by induction that if gcd(a,b)=1 then (a, b^n)=1 for all n>=1 without prime factorization but I may be too drunk but I must keep my ego intact. would appreciate any hints in the right direction
>>
>>9135764
p divides a and b^n <=> p divides a and b
>>
>>9135762
>It is though. That's all it's ever been. It's not a big special "has all the answers" place.
No, it's a "has the best answers we can deduce" place. It literally is math constrained by the universe.

Yes, GR uses results from mathematics, relates them to physical phenomena and hey presto, you get a theory. Did I miss the measurement somewhere in there?

Measurement is just how you verify that you weren't talking shit behind the universe's back the whole time.
>>
>>9135776
ok so with your new definition of physics how is this mathematics?
>>
>>9135790
I was using the old definition of physics...
>>
>>9135793
well do it anyways
>>
>>9135771

I was thinking about using proof by contradiction tho, which is what I think you are implying. Just having gcd(a,b^n)=d and assuming for sake of contradiction that d>1 which by def of gcd there is a positive int (lets say c) that divides d and c is less than or equal to d but the problem arises from the fact that d>1 and after solving we see that gcd(a,b^n)=> c where c can equal one which causes a contradiction with the assumption that gcd(a, b^n)=d and d>1
>>
I'm thinking of getting an applied math minor. I'll be taking Calc 3 (required), linear algebra (option), and analysis (option). My major is environmental science. Thoughts?
>>
>>9135810
environmental science is a shit major so yeah you should do that
>>
>>9135794
I think you missed my point. I was saying MATHEMATICS should be renamed physics, and physics should be renamed applied physics. Or the other way around. So long as you have one "applied" and one "normal".

Just now, physics is simply the study of the iteration of mathematics that our universe takes. It is, in a sense a subset of mathematics. In practice, this isn't entirely true, seeing as there is a back-and-forth between them.

But if we are talking about orders of generality, currently, we have:

Math>theoretical physics>experimental physics

But, seeing as math is initially derived from the universe itself, then generalised, it should be:

physics>applied physics>experimental physics

Clear things up for you?
>>
>>9135813
i was mostly arguing over the fact that you said "math is a general form of physics" like i could say "math is a general form of aerosol cans" and i'm not really saying anything of value am i?
>>
>>9135812
The major is recommended for the master's I'm interested in.
>>
>>9130727
Is OP still butthurt that his threads are consistently shit? As a math major I refuse to post in his threads due to anime cancer.
>>
>>9135826
>Is OP still butthurt that his threads are consistently shit? As a math major I refuse to post in his threads due to anime cancer.
And who are you?
>>
>>9135817
Physics is far more general than aerosol cans. In fact, between math and physics, you get the most general form of anything. So what I was saying has value, but what you are saying has little value.
>>
>>9135833
I'm someone who's not shit at making threads (like you). Face it OP, your time has come. Stop making shit threads and then maybe we can talk.
>>
>>9135838
you're just trying to paraphrase that shitty xkcd comic. there's no use in categorizing math and physics compared to each other because they study different things.
>>
>>9135842
>I'm someone who's not shit at making threads (like you). Face it OP, your time has come. Stop making shit threads and then maybe we can talk.
I didn't make this thread, I just don't see why it would matter whether you post in these threads or not.
>>
>>9135997
Because my contributions to threads are of great value.
>>
>>9136389
>Because my contributions to threads are of great value.
Like?
>>
What level of calculus is Spivak? What are the Spivak tier books recommended for algebra and analytical geometry?
>>
>>9135577
>>9135603
wait so the answer using trigonometry is 43.5 and using elementary geometry is 70? how is this possible? which one is right?
>>
>>9135690
>proving logical consistency
Fuck off to >>>/r/eddit/ with your pop-sci garbage.
>>
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Why is it the case that the vast majority of physishits are simply incapable of even the most basic mathematics beyond simple calculations?
>>
>>9137251
Perhaps that is why they chose to do physics in the first place. Kek
>>
>>9137096
bump for curiosity
>>
>>9130727
how to not get confused at solving derivatives ?
>>
Not another one of these goddamned threads.
>>
Is the "sigma j" just a shorthand notation for "for all j:s" or am I completely misunderstanding it?
>>
>>9138450
>physishits
Not a subhuman thread. Use something else.
>>
>>9138490
Yes, essentially. In number theory you will sometimes see "d|k" under the sigma, or "all positive d's that divide k." So in this case, whatever domain the j's are in are fair game. Physics and computer science books can be frustrating about specifying their summands because they don't have the same autistic level of fixation about that sort of thing...
>>
>>9138409
d for add one
i for minus one
>>
Hello /mg/ should I devote myself to math or physics?

You say math is beautiful, I wanna see this beauty too
But I also like physics explications for nature phenomena
>>
>>9139446
If you're asking this question you've probably done neither in serious detail. Go read up on proof based math up to real analysis. This will give you a solid mathematical background to do physics if you decide you still like it after seeing what real math is like.
>>
>>9139509
>proof based math
There is no other kind.
>>
>>9137096
bump
>>
>>9137096
Trigonometry is false, so 70 is the right answer.
>>
>>9140061

proof is a social construct
>>
>>9140061
>i just took real analysis 1 in college look at me
>>
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Any jugglers in /mg/?
https://www.youtube.com/watch?v=sBHGzRxfeJY
https://www.youtube.com/watch?v=38rf9FLhl-8
>>
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>>9141742
>claude shannon is a better juggler than you
>>
>>9140977
how is trigonometry false?
>>
>>9141645
So?
>>
>>9141675
I don't believe in analysis.
>>
>>9141930

math is like religion
>>
>>9142577
So?
>>
>>9142802

it is literally muh feelings, a language-game

so?

it is only some kind of convention, pretty useful, but only a convention
>>
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>law of excluded middle
>>
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>>9142867
>axiom of choice
>>
>>9142813
So?
>>
What's /mg/'s go-to textbook for undergrad analysis?
>>
>>9142962
This is a pretty good website
http://www.storynory.com/archives/fairy-tales/
>>
Does anyone have that animu cartoon with the math undergrad being handed different books?
>>
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>>9142987
>>
>>9142912

so you are a nu virgin male loser sitting whole day in a library or in your room, improving somebody's result by 1/20, watching each detail, earning nickels while complacent chads on the loose fuck around, earn heaps of money while spewing out bullshit because they are just so adorable

so their strategy is better, that is they are smarter
>>
When reviewing Calculus is it necessary to start from calc 1 or should reviewing from calc 3 be good enough? I finished the calc series last spring and i have a month to review before fall semester.
>>
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20
>>
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Currently stuck on this problem, any help would be appreciated
>>
>>9143336
read the hint brainlet
>>
>>9143336
Some things to note:
1. [math] A_1 \supseteq A_2 \supseteq A_3 \supseteq \ldots [/math]
2. [math] A_i [/math] is compact for all i. (Try to figure out why)
>>
>>9137096
>>9141755
bump
>>
>>9143336
Consider the sequence [math]( A_i ) [/math]. Since [math] X[/math] is compact, every sequence has a convergent subsequence, call it [math]A_i_k [/math], with its limit [math]A [/math]. Then [math] A = \lim_{k \to \infty}A_i_k = \lim_{k \to \infty}f(A_i_{k-1}) = f(A)[/math] since f is continuous.

idk this sounds wrong
>>
>>9130747
How are the rows long exact if long exact sequence is infinite, while obviously 6 isn't equal to infinity
>>
>>9143407
Sequences of points in compact spaces have convergent subsequences. In this cases however, [math] A_i [/math] is a sequence of sets, not points. It's kind of tricky to say what we even mean by a sequence of sets converging.
>>
>>9143375
this is the correct answer. I'm certain that in your textbook there is a theorem about "nested sequences of closed sets in a compact space", probably on the same page.
>>
post anime + math pictures lads
>>
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Where do I start with math? I wanna git gud. The last class I passed was college statistics.
>>
>>9143308
My man!
>>
>>9143579
don't fall for the calculus meme
instead learn linear algebra, first by dr strang youtubes then by axler's Linear Algebra Done Right
>>
>>9143655
Calculus is absolutely neccesary if you want to do physics. If he wants to do physics, he should go for Calculus. If he does math just 4 fun, then why not let him learn whatever he wants...

It really depends on what you want to learn, >>9143579
>>
>>9143680
it's an unpopular opinion, but I also think it's actually better to first learn linear algebra. finite-dimensional vector spaces are literally the tamest, most comfy objects to work with. calculus then makes much more sense as an idea of linearization.
>>
Reaching the first exercises of Rudin's RCA, wish me luck m8s.
>>
>>9143579
discrete math with an emphasise on proofs
also >>9143655 >>9143694 this
>>
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>>9143694
Won't argue with that.
>inb4 i am still learning Algebra I
>>
>>9143579
https://www.youtube.com/watch?v=V49i_LM8B0E&index=1&list=PLPH7f_7ZlzxTi6kS4vCmv4ZKm9u8g5yic
lectures 1-3, thank me later
>>
>>9143702
GTFO
>>
>>9142982
Keked

>>9142962
Baby Rudin is the only answer. Analysis without starting with a bit of topology is plain stupid. Also great as a reference since Rudin has no motivational bullshit.

>>9143579
Depends. Do you want to apply math with any kind of precision? Then start with more advanced calculus (Apostol is nice). If you want pure math start with baby anaysis or linear algebra, you can skip calculus if you had any class about it at all (i.e. you know why derivatives and integrals are relevant)
>>
>>9143707
stfu, at least i am trying to learn something

dont act like you werent at my point a long time ago
>>
>>9143712
Not him, but what do you mean by Algebra 1? Just curious.
>>
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>>9143718
I actually know about 70% of this, i just practice beacuse i am not rly good at what i already know

after mastering the things ive already learnt, i will advance to the parts i dont know
>>
>>9143702
>>9143712
Redditors aren't welcome here.
>>
>>9143848
>Redditors aren't welcome here.

not an argument
>>
>>9143852
You seem to be mistaken. Reddit trash isn't welcome here.
>>
>>9143867
still not an argument

Next?
>>
>>9143722
>>9143883
Redditors simply aren't welcome here.
>>
>>9143848
>>9143867
>>9143917
>trying to be the internet police
Yikes
>>
>>9143962
>Yikes
see >>9143917
>>
>>9143294
Bump...
>>
Why no redditors tho...
>>
>>9144163
I never stated I am a redditor...
>>
>>9144148
>>9144198
read the global rules page. you will find a rule stating that advocating a different forum on 4chan is ban-able offense. hence there is a meme on 4chan about telling people to fuck off to reddit for being low quality posters.

no fuck off.
>>
>>9143410
pls respond
>>
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>>9143410
>"""equal to infinity"""
End your life, retard.
>>
>>9144716
https://en.wikipedia.org/wiki/Extended_real_number_line
>>
Found a sketchy argument in Rudin's RCA: I think in theorem 1.33 he assumes it for real functions implicitly (|u| <= \alpha f implies same for integrals). IMO this is too big a jump, but it can be fixed using u^+ - u^- = |u|. Anyone interested in checking it?
>>
>>9144752
Entirely irrelevant here. Kill your own retarded self.
>>
>>9144782
>Entirely irrelevant here.

which part confused you?
>>
>>9144786
I don't expect your kind to understand.
>>
>>9144843
the extended reals are pretty standard to learn eventually, if you're in math you'll probably see them in some upper year class when you get there
>>
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So in this picture they ask to change the variable to calculate the integral but I don't understand how is it supposed to help
Any idea ?
>>
>>9144857
Please brush your teeth at least.
>>
>>9144892
> il connaît pas les règles de Bioche foutredieu de merde
>>
What's the career opportunities like for a pure Math BSc graduate?

>inb4 muh 300k starting
>>
>>9135117
he had the phenotype
>>
>>9144967
Any job you like. A certain sum of money starting.
>>
>>9137096
Simple geometry wouldnt give you a decimal. If your proofs are correct, then 70 is correct.
>>
>>9144967
>pure Math
Are you suggesting there is an "impure" math?
>>
Fresh outta highschool, gonna be a graphic design major. Parrents want me to take a math. How difficult is college level geometry or algebra /mg/?
>>
>>9145098
>Are you suggesting there is an "impure" math?
yes it's called applied math, it's another subfield of math (usually has more intersection with other fields of study)

there's some examples of it here
https://en.wikipedia.org/wiki/Applied_mathematics
>>
>>9145103
>applied math
It can't be shown to exist.
>>
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>>9130727
im still trying to figure out what this is
>>
>>9145125
Displacement core, you're welcome.
>>
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>>9145125
it's a displacement core u fkn div
>>
>>9145145
it core's displacement
>>
>>9145135
>>9145145
What does a displacement core do?
>>
>>9135577
"that means no trigonometry"
When will these brainlets ever learn?
>>
>>9145280
Wanna get married?
>>
>>9130936
>>9130933
He's a prime example of intuition which is faulty
>>
I have been self studying modern algebra from a basic undergrad introductory text. I thought everything was making sense, but I am worried I'm not seeing the big picture. I realize the number systems we use of course have all of this built in structure, but what exactly does all of this have to do with the elementary algebra we learned in highschool?
>>
>>9145239
Displacement
>>
>>9130747
>it's just fucking function composition
wow so abstract
>>
>>9145414
>hurr durr i only know these symbols as composition of functions, nothing else
>>
>>9145414
Kill yourself.
>>9145416
>hurr durr
You too.
>>
>>9145416
>homomorphisms are not functions
spot the brainlet
>>
>>9130747
What book is this from?
>>
>>9145424
>homomorphisms
>when the diagram shows simplical homologies of delta complexes
>>
>>9145426
Hatcher
>>
>>9145433
Which are just morphisms of a category, brainlet.
>>
>>9145436
>"of a category"
Which category?
>>
>>9144938
Ah bah merci j'imagine
>>
https://arxiv.org/pdf/1708.01209.pdf
>>
wwwww
>>
>>9144782
Then why they called a finite exact sequence a long exact sequence?
>>
>>9135596
>This can't be done with elementary equations
proof?
>>
>>9144768
Well, I suppose you're right in that you need to prove it for real valued functions first, but that's obvious enough by linearity. That's nowhere close to sketchy by Rudin standards.
>>
Why are all physicsposters such obnoxious attention-seekers?
>>
Heres a problem Im having.
I have two points. 1 is bound to the surface of a sphere of radius R. I want to determine where on the sphere the point is using a second point off in the distance. I know theres going to be multiple possible positions relative to the sphere, but that can be narrowed down with more points in the distance.
>tfw majored in math
>tfw can only think of matrix groups to solve anything dealing to motion
Im also trying to program this on an arduino so I dont want to use anything too complicated. But its been too long since I took calc and I cant think of how to set this up.
>>
where did ad-bc come from?
>>
https://www.youtube.com/watch?v=VdLhQs_y_E8&list=PLelIK3uylPMGzHBuR3hLMHrYfMqWWsmx5&index=1

https://www.amazon.ca/Algebra-2nd-Michael-Artin/dp/0132413779

where do i donwload this book? i remember theres a russian website for torrenting shit?
>>
>>9146532
AP * BP = 0
In vector thing and make it 3d while youre at it
>>
>>9146784
2x2 determinants
>>
>>9146843
>where do i donwload this book? i remember theres a russian website for torrenting shit?
http://gen.lib.rus.ec/
>>
>>9146924
yes but how did it came to be? seems to come out of nowhere, my text doesnt explain it either.
>>
>>9146935
https://en.wikipedia.org/wiki/Determinant#Definition
>>
>>9146935
A motivator to use the ad-bc thing is to have the determinant of the 2x2 unit matrix be 1, as you want the determinant function to be a homomorphism.
>>
>>9130869
>I use physical intuitions and experiments. I literally do not believe in math.
lol what is this, a new physfag troll? this will neber be a meme btw so might as well stop
>>
>>9130940
You basically have to find every other angle in the diagram before you get the answer.
>>
>>9146928
abstract algebra by michael arden doesnt exist
good alternative?
>>
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does anyone know were i can find a pdf of pic related?
>>
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>>
>>9147218
this
>>
>>9147614
>real numbers
>>>/x/
>>
>Game Theory and Optimisation
>Calculus III
>Statistics and Probability II

Which module should I pick?
>>
>>9145125
https://en.wikipedia.org/wiki/Linear_variable_differential_transformer

?
>>
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G'day fellow geniuses, stats brainlet here: any tips for this problem?
>>
>>9148107
>>>/sqt/
>>
>>9148107
d) Assumption that blood group is not a factor when choosing a partner. IRL blood group tends to be correlated with ethnicity, which inevitably is a factor, implicitly if not explicitly. Hence your answers in a) to c) are pretty meaningless, which is why I didn't bother working them out.
>>
>>9146784
pattern recognition like all low level math.
Its a number theory thing. Would be impressive if it worked in different bases.
>>
New thread
>>9148411
>>
>>9146443
I meant sketchy as in he could have mentioned that it was obvious in the real case.

Maybe I'm just stuck in the PoMA mindset still.
Thread posts: 314
Thread images: 35


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