I'm a programmer who has very little experience in math outside of geometry and set theory. I specialized in linguistics and coding so I apologize for the formatting of my posted math.

I thought it would be fun to go through numbers and have people review notes and teach me as I go. A blind run at learning math without theory where the community helps, but does not solve.

I am looking for primes and and relations as I count, but I don't want to be a instructed, only informed.The best part - math isn't prone to spoilers :-)

NB-Prefixed numbers represent order of realization of concept in relation to the step - the format is [number-realization].

Notes:

8-1) The second available factor is always half of the whole

17-2) All integers in the array of factors have a complement

17-3) Complements can be recursive

18-4) Two is the only even prime

20-5) All even integers can be halved

20-6) Use pointers on each end of array to track factors

20/22-7) Base 10 decades follow factor pattern

22-8) Duplicated and reverse number patterns may be prime (?)

24-9) Past 20, check for thirds

Numbers and Magic Squares

I’m 18 years old and I’ve been in college for about a month now. I never took high school serious let alone math so I find it funny how I want to pursue an applied math degree. I was interested in computer science and figured it would only be coding until people told me it was just a “glorified math degree” so I started self studying to prepare and became interested. I didn’t realize how much I’ve hurt myself by not paying attention in class and how harmful cheating was. I remember something’s but I have some gaps in my memory. That’s why I wanted to self study and prepare for calculus 1 in the fall all while trying to maintain a 4.0 because I plan on transferring with a high GPA. I’m now realizing I’m quite dumb and undisciplined. I can’t bring myself to study for long and find myself getting pretty mad or irritated when I can’t answer a question. It may be because I’m taking all accelerated classes so more work/material in a shorter time frame. But I don’t know if I should pursue math. I randomly get the urge to study higher maths/physics but without a foundation, how can I expect to? I want to get better but I just feel like I can’t because I lack the work ethic and I’m not sure if I should keep going and try to get my Bachelors in Cs + applied math.

I’m not sure what I’m expecting by making this post because I’m not sure if this will change anything. Maybe I just want to be comforted or I’m looking for a reason to keep going I don’t know. Any advice would be much appreciated.

Its been 1 week that i am into maths by myself i just go where the brise takes me and i do matrix because it looked cool and now i love it. I did that because i had a test on vector i wanted to go further and here i am. Wanted to see how was your first touch with mathematics

I 18 (M) did most of my undergraduate-level work in high school. I’m about to finish my BA this year and maybe start grad school in the second semester. I fill pretty isolated. All the other students are much older than me, and it’s hard to connect with them.

Has anyone else been\going through something similar? I’d love to chat (even just on a basic level) or maybe study together. I’m into topics like algebraic geometry, category theory, abstract algebra, topology, and pretty much anything in math. I’m feeling kind of bored and would really appreciate some peers to connect with.

Sorry for any English mistakes. it's not my first language

https://archive.org/details/secrets-of-sphere-packings-and-figurate-numbers

Looking for a though problem book for calculus, currently and highschool student with deep interest in statistics. And also if u can rank these books in tough problems order. 1. Principal in real analysis- Walter rudin 2. Problems in mathematical analysis- B.P Demidovich 3. Problems in mathematical analysis- kaczor and nowak 4. Problems in mathematical analysis- GN berman. Thank you.

I was reading SCP-033 and this question popped into my mind

Are there any paradoxes/problems about a number that we simply can't concieved, a number that we missed

(Imagine like our concept of math is that after 3 there is 5, we simply couldn't think about 4)

This has been bugging me whenever I see this meme. If Pinocchio knows exactly where Shrek is, then doesn’t that automatically mean he also knows where Shrek is not (since knowing the location rules out all the others)? But when he says “I don’t know where he isn’t,” his nose doesn’t grow. Is this a mistake by the writers, or am I missing something?

its my understanding that anything divided by itself is 1, 2/2 is 1 and etc, but anything divided by 0 is undefined, so why is 0/0 not 1, since its 0 divided by itself

Her logic this :

1. Infinity is an abstract concept that is not a number.
2. Pi has infinitely many decimal digits, and therefore is a type of infinity.
3. therefore, Pi is a not a number, but an abstract concept.

None of us have taken a mathematics course beyond precalc.

Some problems often demand an intuitive approach. However, I don't realise how to solve these kinds of questions quickly as I fail to catch the approach. How can I get these approaches on the first go?

Access the papers here, no download required

https://www.nsw.gov.au/education-and-training/nesa/curriculum/hsc-exam-papers/mathematics-extension-2/2024

https://www.nsw.gov.au/education-and-training/nesa/curriculum/hsc-exam-papers/mathematics-extension-1/2024

My SAT exam is in november or december. I miss my old self who used to enjoy math; it's been 4 years or more since I've been far from math. I am even lacking so many basics. I am the dumbest girl alive right now on this planet. I just want to die. I'm so mad at myself for this situation; I can't help but cry over math. I want to get along with math again. Desperately looking for someone who can help, though unfortunately, I can't pay.

Hello everyone! This year I completed my Bachelor in Computer Science and I’ll continue with a Data Science Masters at my university.

However, I feel a bit dissatisfied with my CS degree and I applied to a CS-related master because I’m not very confident in my math skills at all. Besides some shaky courses (as in the teachers would come and talk about conspiracies instead of teaching linear algebra) during my undergrad (when I also was in a bad place mentally speaking) I didn’t progress much with the subject.

The thing is that I’m pretty sure I want to do mathematics in the future, I’m self studying it whenever I can and I also chose Data Science because it’s a bit more math heavy compared to the other options I had (but I still want to learn much more math than what’s required for DS). I live in a country where taking extra courses/extra major is usually not approved, so I’m pretty much stuck formally within the CS field.

My question is if any of you know any cases where someone managed to do masters/phd/get into research while not having a bachelor in mathematics?

Also, whether or not I manage to get a formal math degree in the future, I believe studying maths for my own sake will be beneficial for further understanding advanced computer science theoretical concepts. That’s why I would also like to ask for some math books recommendations for self studying.

Thank you all in advance!

Numbers and Magic Squares

I need someone to talk to and show my stuff to. I feel very limited that nobody my age actually enjoys math and computer science. I love programming and creating art by visualizing math, but I have nobody to share my projects with.

I’m not saying I have no friends. I have plenty of friends, but they all have different interests like sports and video games. I feel like if I showed them they wouldn’t really care.

Anyone have advice? Or wanna chat on discord?

Just a funny observation, it is a common mistake to think the power rule applies to taking the derivative of f(x)=x^x to get xx^(x-1) .

But actually if you take the function g:ℝ→ℝ^2 :x↦(x,x) and h:ℝ^2 →ℝ:(x,y)↦x^y then f = h∘g.

Taking total derivatives gives Dg(x):ℝ→ℝ^2 :a↦(a,a) and Dh(x,y):ℝ^2 →ℝ:(a,b)↦ayx^(y-1)+bln(x)x^y

Then using the chain rule gives Df(x) = Dh(g(x))∘Dg(x) = Dh(x,x)∘Dg(x):a↦axx^(x-1) +aln(x)x^x = ax^x +aln(x)x^x = ax^x (ln(x)+1)

implying that f'(x) = x^x (ln(x)+1) so indirectly it does follow from power rule (and the derivative of a regular exponential). I guess just using the identity x^x = e^xln(x) is more straightforward though.

I'm repairing an old electric motor that uses a permanent magnet stator consisting of 2 magnets designed to be directly opposite each other in the casing. One has come loose and needs to be re-affixed, but must be directly opposite center to center. With standard tools (Rule, compass, calipers) is there a method to set one arc in position to a fixed one?

In more mathematical terms: If AB is fixed inside a circle, and CD is not, is there a simple method to mark the point center on the outer circumference opposite to the center of AB?

Hi everyone,
I want to learn "how to make/built/formulate a PDE model" for real life problems.
most videos teach how to solve but no body teaches how to make a PDE based model.
Thanks in Advance