/r/mathematics
r/mathematics is a subreddit dedicated to focused questions and discussion concerning mathematics.
/r/mathematics is a subreddit dedicated to focused questions and discussion concerning mathematics. Submissions should state and outline problems or questions about a given field or link to an especially insightful article about a mathematical concept.
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Hello everyone, i would like to share an equation i developed for the Sierpiński Carpet and its perimeter, as far as im aware one that is known does not exist.
By the way, if we are considering the iterative growth inwards, then simply divide the result 2SCp by 3^k. (k being the iteration here.)
Hi all,
So I am 25 finance lawyer. As most lawyers, I chose it because I hated math:)
As I start to get interested in economics, physics etc I want to understand the analysis behind it. But, it requires math. So, as my skill or knowledge behind math is lost long ago (I can count of course, but everything including formulas is already no go (and I was terrible at school with them as well)), what resources (textbooks, courses etc) would you recommend to learn math to get to "OKAY" level for math analysis. For example, I got book by L. Susskind "Quantum Mechanics theoretical minimum", so get to a level for me to at least minimally understand it.
Many thanks in advance!
So I have been diagnosed with dyscalculia and I want to become better at math and numbers and I'm not sure how to or where to start any kind of advice is greatly appreciated
Hello everyone,
I’ll soon be completing my undergrad in maths and will be applying for jobs but i didn’t find many on internet that i can apply with undergrad maths.
I need your advice that what type of jobs should i apply for or even apply for with math undergrad.
I was thinking about going to grad school but it doesn’t seem possible for me because of family responsibilities.
Hi everyone, I'm a 17yo, who is really interested in self studying Physics. I would really appreciate it if someone provided me with a roadmap of all the Mathematics I need to know to be able to have a strong foundation in Physics.
Thank you for reading!
it definitely has something to do with long division, but this notation is just completely different to what I know
Would a platform for generating practice exams be helpful?
Wikipedia says if you want n objects to be placed in k bins The total ways is (n-1) C (k-1) . And Stirling numbers of second kind gives a recursive formula that if those k bins were indistinguishable The total ways given is a recursive formula. So if I divide stars and bars total ways divided by k! Why would I not get it equal to Stirling numbers of second kind.
I know it is not equal. Heck there is no guarantee when I divide by k!, it comes integer of decimal.
See see, the way wikipedia derives is that out of n-1 places between n objects you can place k-1 boundaries of each boxes. So why I can't divide it by k! If I want the placings to be order irrevelant??
Pls explain. Thankyou
Edit: ok don't divide by k! But multiply by k! If kth bar is inserted somewhere it can mean all boxes from after previous birth and till kth bar placed will be inside kth box and multiplying k! You can decide which balls will be present in kth box this way.
How important do you think research experience for undergrads is, particularly for grad school admissions in general?
HI!
I got a 90 on last year's AMC 10 (cutoff was 105 I think). I haven't studied competition math at all since then. Is it possible to reach a qualifying score with the 2-3 weeks remaining? If so, how should I study?
I have already completed high school and university however I feel like my knowledge in math is average or even below at best. Yes I know multiple formulas, rules, shortcuts and how to solve many equations. What I am suffering from is the why. Like why solve this, how some methods, rules were developed and general applications. I already finished Algebra 1 (foundation and introduction)
Therefore my main question is this: Can I skip Algebra 2, college algebra, Algebra and trigonometry and jump straight to precalculus ? (Most people online recommend that or algebra one and then jump to algebra and trigonometry)
Context: I want sufficient knowledge in order to revise university (introductory)physics as soon as possible.
Recently, I read Euler's gem, a book by David S. Richeson. I really like that it conveyed some of the big thematic ideas about topology and differential geometry in a casual and fun pace. I also liked that it went through some key theorems and gave sketches of proofs in an intuitive way.
I am wondering if there are other books like this where it reads more like a non-fiction fun read rather than a text book. It could be for any more advanced topic in mathematics but I was specifically looking for something to do with PDEs, maybe in a more analysis and theoretical approach.
Any suggestions would be greatly appreciated! Thanks!
Why z* should and has to be used for complex numbers? if the actual form is z = a + b and z* = a-b, it just means a sign change. This, in the other hand, doesn't happen at all with, for example, the linear equation y = mx +c there's no such thing as y* but the inverse of the function, which does not happen with complex numbers. What is the necessity/reason why of a z* conjugate?
I'm studying Data Science, and my professor assigned us to interview a researcher from any scientific field, provided they've published research. I'd love to ask you some questions about your work, as I'm very interested in pursuing theoretical mathematics, possibly with a focus on algorithms or statistics.
My questions are as follows:
Additionally, only if you’re comfortable with it (don't be forced), could you share your name and academic background? (They’re required for the assignment.) Feel free to send them by inbox if you prefer.
Hello all, I’m asking this question for my niece who’s having trouble choosing two schools for math. She started studying CS at a private school last year, which has a pretty good engineering program and is a target school (CS and engineering) for many companies. She doesn’t really enjoy the vibe and learning environment there and wanted to transfer somewhere else. Her actual interest lies in math and engineering, but she chose CS due to the better job opportunities. The applied math program in this private school is not that great and again, because she doesn’t really enjoy the learning environment there, she is thinking of switching to become a math major at a mid-tier state school (regional) that is much closer to her home. And because my sister’s family is paying full tuition for the private school, switching to the state school would save them a lot of money. My niece is not sure whether it is a good move because she worked very hard to get into the private school, and the state school is not that selective and probably doesn’t offer as many research opportunities as the private school. (Yet she’s not entirely sure whether she wants to go for a PhD afterwards, but there is a good chance she will get a master’s afterwards.) The state school, however, has some industry connections to surrounding aerospace companies, and she is interested in that field. If it helps, she is not that interested in finance/business and more in either aerospace engineering or the physical sciences.
My intuition tells me that the ranking doesn’t really matter if she’s not interested in business/finance. But should she switch?
Hi. I am currently enrolled in a computer science bachelor’s in Europe. Would it be possible to do a master’s in mathematics at a university in the US given my background? I would still do it even if they asked me to take an additional year or so to take additional maths classes required for the master’s. Is this possible?
What are interesting facts about the modified Dirichlet function Defined as follows:
F(0)=0 ; F(x)= 0 if X in R\Q ; F(x) =p if X=p/q in Q
It is unbounded almost everywhere, but what else can be said ?
I don’t want to do any rigorous work—just fun or casual reading that is entertaining or informative and keeps me on my math learning journey.
https://github.com/stevius10/gai-Riemann-Hypothesis/tree/main explores a unique approach using spectral operators to frame the non-trivial zeroes of the Riemann Zeta function and related L-functions as eigenvalues. The authors propose an iterative spectral method where these zeroes align symmetrically along the critical line \Re(s) = 1/2 , potentially supporting RH.
Here’s a breakdown of the approach:
• They define a spectral operator that they hypothesize has the zeroes of the Zeta function as eigenvalues.
• Extending beyond the Zeta function, they also apply this framework to Dirichlet L-functions and Modular Forms.
• Numerical analysis on the first 10,000 zeroes shows alignment with RH, although it’s not a formal proof.
While this is promising, the approach is still heavily dependent on numerical evidence, which is suggestive but not definitive. Extending this framework to modular forms is a leap, given their more complex symmetries, and the theoretical justification for the spectral operator needs more development.
Would love to hear thoughts on this. Could this spectral perspective pave new ways to tackle RH, or is it another numerically attractive but theoretically insufficient attempt?
It was removed so I spending the least effort as i could just took a screenshot of the post : )
My friend wants to study for the ASVAB (US army test), and has asked me to help them, they are also interested in learning math since I told them about the practical applications. For reference I have taken up to an Ordinary differential equations level math class. I am going to start them off with Algebra (unless you suggest something else) because they stopped paying attention in maths after COVID.
The trouble is I also want to make sure they are inspired and see the beauty and usefulness of math (something I know only the best teachers can accomplish). But I think I have an edge here since we are friends and they seem eager to learn. I really would like some help in what topics to cover, and in what order works best. My plan right now is to come at it from an in-context approach, which means not just teaching a concept but also about the history and stories of whatever we happen to be learning, as well as its practical applications for invigorating the desire to learn math. I understand this might be difficult since trying to teach every little formula or trick being used might require much higher-level math. OH GOD please help
It is relevant for my research to find some sort of reasoning behind posing the Heawood Conjecture, but all I find are citations of:
Heawood, P. J. (1890). "Map colour theorem". Quarterly Journal of Mathematics. 24: 332–338.
I can't find any original text or writing related to this by Heawood, does anyone have a lead or is it normal to lose such texts?
So i graduated with a BS in Applied Math and I’ve been substitute teaching for the last year while i figure out what i want to do next. I decided I wanted to become a community college math professor because i really enjoy teaching and i would like to teach higher education classes. So I started taking some prerequisites to get an MS in Math Education because I feel there’s a lot to learn about teaching at the community college level and one of the best math professors i ever had got a masters in math education, but now I’m rethinking and I’m considering an MS in Pure Math or MS in Applied Math to maybe not limit myself. A masters in math education allows me to teach at CCC but not a university whereas a masters in pure or applied allows me to teach at CCC or university. Also, an MS in applied would better prepare me for a career in industry if i ever decided to go down that route. I feel that i don’t really have a strong background in pure math given that my BS was in applied so I fear that I’ll find it more challenging, but the curriculum seems super interesting and i think it would be nice to study a different side of math. Then again, applied math has seems super rigorous and like it’ll break me lol but i really like computational math and if it’ll allow me to teach AND prepare me for industry I think that’s a double plus. Then again taking numerical analysis was one of the hardest classes that i didn’t really enjoy in undergrad and it’s like one of the defining courses to applied math, but i did enjoy PDEs, optimization, and other computational courses. I’m really just stuck deciding between the three. My question is which of the three would you choose or recommend? My goal at the moment IS to teach so I’m just curious to hear perspectives from others who have a masters in math.
Now that I find myself in calc ab and starting courses, I found that many of the techniques I clung to for arithmetic and algebra to be not-so usable. I often thought to myself the past couple years, “This concept in algebra would’ve helped me in arithmetic” or “this concept in trig helps with my interests in physics” and when I was a bit younger something along the lines of “this way of conceptualizing this helps with that” and so on and so forth. What order would you introduce major concepts to a 5 year old, knowing you hypothetically (or maybe for parents who plan on homeschooling; literally) had an obligation to tutor this student until grad school or a doctorate? Maybe for people who are a bit more creative than I am you’d think about some physics concepts or something. I’m asking because I find myself plateauing a little bit in calculus and it’s frustrating. I want a bit of inspiration on topics to maybe revisit, ect ect.
I'm a fourth year university student in mathematics, and I've been having a hard time with my studies for a while now. When I started out my grades were great, but on the 3rd and the 4th year they've really been slipping. I don't really know the other people from my school so I don't really have anyone I could discuss the math topics with or learn things with, and on lectures I feel like if I miss one detail the rest of it is a waste of time so I don't attend them. I have no idea if this stuff is as hard for everyone else as it is for me, but when I attend lectures I get the sense other people are doing better than me.
So basically I've studied pretty much everything by myself, and I feel like I'm reaching the end of my rope with how far that will take me. Some of the concepts are really difficult, and while I can eventually understand them if I approach them at my own pace and try to put the pieces together, there's just so much stuff to learn on each course it's really overwhelming. I love solving problems and have always been good at learning math through seeing it like a puzzle, but I'm really struggling with stuff like, reading and memorization, and there's so much of it. Theory I can get if I take my time but I gotta be honest, that's not my strong suit either. I have some attention issues so it's just easier to maintain attention on figuring something out than it is to cram new theory into my head.
Are there things I could do to study more effectively? I know that practice makes perfect, and honestly I wouldn't even mind adding an extra hour or so to my study time for solving math problems and memorization, but I'd love to hear takes other than just "study more". Thanks!
Like the title says, if given a polynomial P(x) with integer coefficients and domain ℤ, and an integer n, is there an easy way to determine the range of P(x) mod n? By easy I don't mean in terms of computational efficiency, I'd ideally like something easily computable by hand.
Even if there's no easy trick, is there any technique, algorithm or procedure that's an improvement over factorising the polynomial or just substituting the numbers from 0 to n-1 and manually computing the outputs mod n?