r/mathematics

SO I've been thinking about majoring in math for a while, Ive done competitions, love the subject on a spiritual level, I am ok with putting in a lot of hard work. But the only problem is that it doesn't pay really well, and I am starting to think if I am cornering myself into a niche subject. All of this along with AI now partially giving an idea for an Edos problem is now making it a difficult choice to major in. I would like to live a life where I dont work under someone and am self employed. I don't know if there are any paths like this after a math degree? I understand that just because there is no clear path doesnt mean you shouldnt pursue what you want, What are your thoughts and advice?

how do i know if ill be able to keep up with all the studying? how to know if i will even understand it? (i live in poland so no AP classes to take) can a person understand all that advanced math by just working hard or its meant for big brains?
edit: i’m talking about applied math/computer math

(Sorry if my English is a little bad)

I'm asking that because my best friend wants to study mathematics to be a teacher but she's scared that she won't have a high enough grade to enter that degree

So I want to give her a set of Hagoromo chalks to encourage her to not give up on her dream

It's like if I was saying that she WILL BE ABLE to become a teacher and when she does she will have the best chalks in the whole world to write with

OpenAI says one of its general-purpose reasoning models found a construction disproving the conjectured n^{1+O(1/log log n)} upper bound in Erdős’s planar unit-distance problem.

The linked post includes a proof PDF and an abridged chain-of-thought writeup. The proof statement says the original model output was later checked by an AI grading pipeline and by mathematicians, and that Will Sawin simplified and strengthened the argument.

The mathematical claim, as I understand it, is that there are finite point sets in the plane with more than n^{1+δ} unit distances for some fixed δ > 0 and infinitely many n, so the expected near-linear upper bound cannot hold. The true growth rate is still open, with the classical upper bound around O(n^{4/3}).

Curious what people here think of the construction itself, especially the use of Golod-Shafarevich/class-field-tower ideas in what looks at first like a discrete geometry problem.

hi my name is Abdallah and i want to learn mathematics i love space and i think if i learned math well i can understand some theories and formulas of Einstein and Maxwell

My experience aligns with essentially all material senses dropping away. Do other people experience this trance-like state?

ie

https://en.wikipedia.org/wiki/Pratyahara

Soo I'm in grade 10 academic math. My math grade on my midterm report card was a 40% and i got a 41% on my midterm exam. School ends in a month, finals are yet to come, I'm terrified. I got a 30 something percent on my last test. My final is worth 30% of my grade I think but I'm nervous because I haven't been doing great all semester. Is it possible for me to still pass? My attendance is honestly really bad, I'm trying my best to improve it-- it's not that i'm necessarily bad with numeracy but I haven't been there to properly learn everything. We still have another 2 whole units. I'm soo scared for my final exam. I really want to pass. The class I'm taking right now is a pre-req, I'm worried I may have to give that up. Can I still pass or am I for sure gonna fail?

I have been studying Discrete mathematics lately, and while studying about Boolean algebra, I wondered what specfici feature about it differs it from other types of algebras?

From my linear algebra class, I remember linear algebra being defined as a vector space with the additional operation of element-multiplication yielding a result within the same vector space.

Boolean algebra can also be defined under the same rules as for linear algebra, we can use XOR for vector addition, with a set of scalars as {0,1} we can also define scalar multiplication and we have the AND operation for vector multiplication.

Would we then also say that this linear algebra is just a powerset in disguise?

I just don't understand how a set which is a collection of elements, with the partially ordered relation of subset, can be equivalent to boolean algebra. It doesn't click for me.

There's a discount currently running at Springer. A lot of books that are usually under 100 are now for sale (ebook or softcover only) for 18.99 a piece (in whatever your currency is).

I am looking for recommendations in the field of operator algebras especially von Neumann algebras and their use in quantum information and quantum field theory. It can be either pure mathematics or mathematical physics.

2 books I am definitely getting are

- Quantum Entropy and Its Use by Petz D, Ohya M

- Quantum f-divergences by Hiai F

Feel free to share recommendations in other areas as well, maybe other people will find that helpful!

Var(X) = E(X^2)-(E(X))^2

And not simply :

Var(X) = E(X^2)-E(X)^2

Hey guys, what are some good resources to study for Exam FM that are more theory-based? I find that almost all the free PDF resources lack mathematical theory. They’re very application-based, which I know many students prefer because:

a) they’re concise
b) they provide direct practice for the actual exam

But I feel like these PDFs are more like bullet-point summaries of an actual textbook. I tend to perform best in math exams when my theoretical understanding is 10/10, because then applying the math becomes much simpler. I guess I’ve gotten used to this approach since it’s how I’ve been learning math for the past 2–3 years. Any advice would be much appreciated!

I am a first year undergrad at a university with a top 10 math department. However, i took the honors sequence proof based linear algebra course with no prior experience in linear algebra (they filled up before my enrollment and did not want to fall behind), and scored a 23/100 on the midterm (C letter grade).

I spent so long studying and i do not know what to do. I want to pursue a phd in math but a C would probably ruin my chances? What can i do?

My current method for preparation was doing each homework problem until i could do them perfectly without notes. We dont strictly follow a textbook

Yo. garbage gambling 3rd world website thats never faced a mathatician before. The aviator follows a pattern thats predictable. Ik becuase i predict it based on basic pattern recognition but i want certainty

can someone tell me how to interprate this data, im mathematically illiterate. tried log graphs, averages and frequency tables. trying to figure out a way to see how long it takes on average for the outliers to return to the baseline.

Theory is that there is a multiplier budget, and a sequence of number ranges, where the numbers within a range are weighted random but the sequence order follows a patter.

if someone makes something real ill share profits.

Show me an uncommon math hack that you know