- What is the Cox-Zucker machine?by /u/be_have_do_say on July 31, 2021 at 8:10 pm
I don’t understand the algorithm at all. Someone pointed me towards it for meme reasons but I’m way out of my depth, anyone have an explanation? One that doesn’t involve a garden hose or a golf ball, preferably. submitted by /u/be_have_do_say [link] [comments]

- On common advice given for self-studyby /u/ACuriousStudent42 on July 31, 2021 at 6:25 pm
This is a more general post on the topic which is why I decided to make a separate post for it rather than ask it in the education thread. What are actual strategies for self study long term? Currently a lot of people both here on reddit and on other discussion forums give self study advice as ‘read from this book and learn’. For example someone asks for how to learn undergrad real analysis and people will say well read little rudin and do all the exercises. Of course if you’re a genius this is okay advice, but I feel like for most people this is a bit wasteful (not to mention giving rudin for someones first time learning just shows that you don’t know what you’re talking about). I myself took advice like this a year or so ago and am slowly going through a book on analysis and algebra however at one point I kinda got annoyed at how slowly it takes me to go through things. I further had my suspicions confirmed when I asked some people who study mathematics at a university in my state about what they learn and how quickly they learn it. They seemed to cover things as a much more rapid pace and consequently learnt more. For example if I read through a chapter in a book and do all the exercises it might take me say, 6 hours. However for them for the same 6 hours they would cover at least twice the amount of content in a lecture and then spend maybe an hour or two doing a tutorial where they do problem sets based on what they learnt in that lecture. As such I feel the general advice given out ‘just read the book and do all the exercises’ as a bit wasteful as I spend just as much time as my peers if not more but learn 2x less. How can I or people in general who are interested in self study learn more efficiently? Obviously students studying mathematics at college are primarily studying through lectures and lecture notes, and then if needed going into a book for further information, not primarily learning out of the book. Perhaps the common advice should be read X person’s lecture notes rather than go through a book and do everything in it? A common rebuttal to that might be that the lectures themselves provide important additional context to the lecture notes but from what I’ve been told half my friends can’t be bothered watching an entire lecture and just learn from the written notes anyway. Sorry if comes off as a bit rambling, this has been on my mind for a while now. submitted by /u/ACuriousStudent42 [link] [comments]

- How Civil Rights Leader Bob Moses Used Math Literacy to Push for Racial Equalityby /u/AngelaMotorman on July 31, 2021 at 5:52 pm
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- Why does this balloon have -1 holes?by /u/some-freak on July 31, 2021 at 5:30 pm
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- A Problem with Rectangles – Numberphileby /u/some-freak on July 31, 2021 at 4:17 pm
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- What problems could be solved with this superpower?by /u/Frosted-Midnight on July 31, 2021 at 2:50 pm
Let’s say you had the ability to manipulate time. Here’s an example of how it works: Suppose you’re microwaving noodles for 3 minutes. You don’t feel like waiting, so you make 3 minutes pass for the microwave, essentially finishing the task immediately. Basically, the superpower is making it so that a certain amount of time passes for a certain object. You can do this as many times as you want (until the object expires from whatever) and however much time you’d like. Now applying this to a computer, what math problems could be solved with this power? Below is a side question that I thought about while making this one: What if the superpower was instead “Finish this task immediately?” What’s the difference and which superpower would be better for this application? submitted by /u/Frosted-Midnight [link] [comments]

- Anyone use a drawing tablet for writing out equations on a MAC? Looking for recommendationsby /u/Thew211 on July 31, 2021 at 8:13 am
Trying to learn math again and would prefer a drawing tablet as opposed to pen/paper. Anyone have any good recommendations for someone using a MAC? I’m using Khan Academy to learn. submitted by /u/Thew211 [link] [comments]

- Why is math usually harder to do in reverse than forward?by /u/DoctorMixtape on July 31, 2021 at 2:44 am
It seems like doing the reverse of a expression is always more difficult to compute. For example, division is relativity allot more difficult to do compared to multiplication. It makes sense that it’s more difficult for a computer to compute because how the architecture is set up. We decided that architecture is adding based. The same goes for derivatives and anti-derivatives. Those are usually significantly more difficult to compute(by hand). My question is why does this happen? Is there a mathematic expression that’s easier to do in reverse than forward? Is it just because our minds are set to think of math in a forward way? Or is there something deeper to this? submitted by /u/DoctorMixtape [link] [comments]

- Good references on KAM theory?by /u/lafripoui11e on July 30, 2021 at 11:13 pm
Hi everyone. I’m currently looking for good references in books/articles for KAM theory. I’ve been reading “a tutorial on KAM theory” by R de la Llave, and while this allowed me to get a good idea on the general methods, I find that there are a lot of details that are missing. More specifically, I came across a problem in my research where I have to study the poinacré map of a 2D time dependant periodic Hamiltonian, which is a perturbation of another time dependant hamiltonian whose poincaré map have nice invariant circles. So if you have any references on these types of problems (kam theory for symplectic maps), where the author gives a good treatment of technical details, I’d be really grateful. submitted by /u/lafripoui11e [link] [comments]

- Open Source Society University is curating an undergraduate math curriculum from free resourcesby /u/waciumawanjohi on July 30, 2021 at 9:10 pm
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- Scholze’s review of Mochizuki’s paper for Zentralblattby /u/ninguem on July 30, 2021 at 7:45 pm
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- Holes: A Questionby /u/Aethi on July 30, 2021 at 6:37 pm
I was watching the latest Stand-up Maths video, and I was kind of speculating on what 2D holes could be defined as. I tried googling it, but I didn’t find success, so I pose my question here: Is a 2D hole any 2D manifold that separates 3D space into two separate regions, and you have to go through the 2D manifold in order to go from one region to the other (unless you can use the fourth dimension to “rotate” around it). If that isn’t super clear, let me demonstrate with the 1D hole: A circle seems to divide 2D space into two separate sections from the perspective of that 2D space. You can move around the circle, but if you want to get inside the circle, you need to actually pass THROUGH the circle–unless you can move in the 3rd dimension. Then it has a “hole” in it. The only issue I see with this explanation is that it also allows infinite D-manifolds to be D-holes because they divide D+1 space into two untraversable regions, but. Does this count as a hole too, then? submitted by /u/Aethi [link] [comments]

- polynomial in non-commutative algebraby /u/aleks_kleyn on July 30, 2021 at 5:21 pm
In the book ‘Skew Fields’ on pages 48-49 professor Cohn assumed that in non-commutative algebra we can introduce maps alpha:A->A and delta:A->A such that at=t alpha(a)+delta(a). Map alpha is endomorphism and map beta is derivation. However there is no clear expression for these maps. Does somebody know how to represent these maps (for instance) in quaternion algebra or matrix algebra or in any other algebra submitted by /u/aleks_kleyn [link] [comments]

- What’s your favorite LaTeX editor that integrates nicely with Google Drive?by /u/marksteve4 on July 30, 2021 at 4:47 pm
Because for some reason Google Drive doesn’t handle tex files natively I tried overleaf. but they lack google drive integration (they can read, but not support edit) submitted by /u/marksteve4 [link] [comments]

- This Week I Learned: July 30, 2021by /u/inherentlyawesome on July 30, 2021 at 4:00 pm
This recurring thread is meant for users to share cool recently discovered facts, observations, proofs or concepts which that might not warrant their own threads. Please be encouraging and share as many details as possible as we would like this to be a good place for people to learn! submitted by /u/inherentlyawesome [link] [comments]

- Domain of a surface differentialby /u/judge-p on July 30, 2021 at 3:25 pm
If we consider a map between two surfaces f: S – > N the differential of f at point p from S is defined on the tangent space of S at p. Why is the domain not S itself, like it would be in classical analysis? Somehow I don’t get through this, I think I’m missing something thats directly in front of me…😅 Thanks for any help submitted by /u/judge-p [link] [comments]

- The Simplest Math Problem No One Can Solveby /u/ImJustPassinBy on July 30, 2021 at 3:04 pm
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- R^n isn’t homeomorphic to R^n+1 , proof ?by /u/creepymagicianfrog on July 30, 2021 at 11:38 am
i am looking for an idea to prove that R^n isn’t homeomorphic to R^n+1 without using brouwer’s fixed point theorem. i was able to prove it for n=1 and 2 (mainly because i was able to visualize the problem and it helped me ) , i was thinking that the proof for n=1,2 would help me find an idea to prove it for n, but nada. submitted by /u/creepymagicianfrog [link] [comments]

- learning algebraic number theoryby /u/meetjoshi__ on July 30, 2021 at 8:55 am
I’m a high school student interested in learning algebraic number theory. My background is Group theory up to the sylow theorems, basic ring theory from Pinter’s “a book of abstract algebra” and elementary number theory. I don’t know if it’s relevant but I know some analysis from the book called “yet another introduction to analysis” and also some basic linear algebra. I really like algebra and number theory (at least what I’ve studied till now) and I wish to learn algebraic number theory. My question is what are the prerequisites for studying algebraic number theory (eg. how much field theory do I need to know) and what are some good resources/books for learning algebraic number theory. Thanks in advance. NOTE: I made a similar post couple of days ago on r/learnmath but it didn’t got any attention so I’m posting here. submitted by /u/meetjoshi__ [link] [comments]

- Books that newcomers should study/keep closeby /u/dsengupta16 on July 30, 2021 at 7:41 am
As a senior student/worker of math which books would you recommend a newcomer in the field to keep closer? The books that you really liked or treasure for some reason. My list: Analysis 1 and 2 by Tao Linear Algebra Done Right by Axler Naive Set Theory by Halmos Probability Theory V1 by Feller Problem solving strategies by Arthur Engel It doesn’t have to be 5 books. It could be less or more. submitted by /u/dsengupta16 [link] [comments]

- Is there an “ultimate” generalization of the Riemann integral?by /u/-p-e-w- on July 30, 2021 at 6:47 am
Almost all real-valued functions are not Riemann integrable, so it is natural to search for more general integral formulations that allow for integration of larger classes of functions. At minimum, we want such integral concepts to agree with the Riemann integral for functions where it is defined, as well as possess certain properties shared by all integrals, especially linearity of the integration operator. Lebesgue integration is the most famous generalization of Riemann integration, but the existence of non-measurable sets means that once again there are functions that cannot be integrated, such as the indicator function of a Vitali set. Is there an “ultimate” generalization of the Riemann integral in the sense that it is impossible to extend the class of functions which it can integrate without violating basic assumptions about the integration operator, such as linearity? Is it theoretically possible to define an integration operator that applies to every bounded function on a bounded interval, or do we run into Banach-Tarski type issues where functions can be decomposed into sums in multiple different ways, integrated separately, and then reassembled in a way that gives contradictory results? submitted by /u/-p-e-w- [link] [comments]

- What made you become interested in math?by /u/MathematicalPassion on July 30, 2021 at 1:24 am
For me, I have enjoyed math for as long as I can remember. During high school mathematics became a hobby of mine. Outside of school I devoted time to learning math on my own and I became active in several online math communities. During undergrad and graduate school math has continued to amaze and inspire me. submitted by /u/MathematicalPassion [link] [comments]

- I love math to death, but I’m afraid of failure.by /u/YacineTheDev on July 29, 2021 at 9:17 pm
Hello I loved math since a very young age, always loved numbers, and i even fell in love with it more since I started learning computer graphics, how those equations turn into amazing renders is just incredible to me. the problem is this, and I may sound like a coward but… I doubt my abilities, I always procrastinate to dive into complicated subjects because my mind is always like “You can’t do it” “it’s too hard for you bro” and this loop continues until I find myself doing absolutely nothing but avoiding the work i should do. do you have any tips, maybe another approach I should take? Thank you so much in advance for your time. submitted by /u/YacineTheDev [link] [comments]

- How can you tell if the research problem you’re working on is solvable (versus impossible to solve)?by /u/grothendieck1 on July 29, 2021 at 5:26 pm
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- Does mathematics give meaning and/or purpose to your life?by /u/westernleg9 on July 29, 2021 at 5:18 pm
I want to know what it means/represents to you. Do you see it as a great puzzle/problem to solve, or a world to explore, perhaps? submitted by /u/westernleg9 [link] [comments]

- Career and Education Questions: July 29, 2021by /u/inherentlyawesome on July 29, 2021 at 4:00 pm
This recurring thread will be for any questions or advice concerning careers and education in mathematics. Please feel free to post a comment below, and sort by new to see comments which may be unanswered. Please consider including a brief introduction about your background and the context of your question. Helpful subreddits include /r/GradSchool, /r/AskAcademia, /r/Jobs, and /r/CareerGuidance. If you wish to discuss the math you’ve been thinking about, you should post in the most recent What Are You Working On? thread. submitted by /u/inherentlyawesome [link] [comments]

- Quick Questions: July 28, 2021by /u/inherentlyawesome on July 28, 2021 at 4:00 pm
This recurring thread will be for questions that might not warrant their own thread. We would like to see more conceptual-based questions posted in this thread, rather than “what is the answer to this problem?”. For example, here are some kinds of questions that we’d like to see in this thread: Can someone explain the concept of maпifolds to me? What are the applications of Represeпtation Theory? What’s a good starter book for Numerical Aпalysis? What can I do to prepare for college/grad school/getting a job? Including a brief description of your mathematical background and the context for your question can help others give you an appropriate answer. For example consider which subject your question is related to, or the things you already know or have tried. submitted by /u/inherentlyawesome [link] [comments]