I am 17 doing further maths and maths a level, and do more outside of curriculum. I want to do maths at uni so to help, I want to do a startup business over the holidays that I can also run during school so preferably online. I also have good skills in programming, any ideas?

I am nearing my thesis for my BS Mathematics. I have looked at a few topics to date, but I was curious if anyone had any suggestions for a thesis involving accounting (minor).

I have a little 3D geometry problem I am trying to solve. Suppose I have a vector v = (v1, v2, v3) and an angle, a. The vector represents the axis of a right circular cone. The angle represents the size of the cone. A vector, denoted by b, is considered a boundary vector of the cone if the angle between b and v is equal to a.

I’m trying to find an algorithm for computing a sample of these boundary points all the way around the central axis for any given vector and angle.

hello everyone,

i'm thinking about getting a bachelor's degree in mathematics. in high school i took AP math and i found it quite easy, barely had any problems, tbh i barely studied. in my country the exams after high school are ones that let you in to university and i was in the top 10% on a national scale.

my only concerns are the following:

• i'm afraid i won't be able to keep up, that it's too hard for me because after all it's not the same as high school mathematics

• i'm also concerned about further job opportunities and what type of master's i can take after a bachelor's in math since maybe i won't want it to be math as well. I don't necessarily want to be a teacher or a professor, on the internet i saw that a math degree is "super useful" and gives "many perspectives" in business, science and IT fields as well. is there anyone who can confirm that.

if you have a bachelors degree in math please do share your experiences, how hard it was in comparison to high school and are you satisfied with your current job both financially and intellectually

thank you

I'm searching for Richard I. Hess' over 7000 puzzles book

I saw this post just yesterday and figured I would post this pseudo-paper that I've been working on for the past month and a half or so. I formalized a part of Terry's paper, and it's not clean or technically impressive, but almost all of it is a jumbled mess so I tried my best. I've gone through so many iterations but I think I'm pretty close to formalizing at least up to the beginning of the geometric structure of his paper.

Link to the paper here. Please let me know if you find any glaring issues or if there's something totally stupid (besides the whole paper).

EDIT: I want to stress that this is completely unfinished. Please don't take this as a final product. It is very much a rough draft of a rough draft of a rough draft.

I created a calculator to work with an extended base ten number system where letters represent their place in the alphabet's power of ten.

https://letternumberscalc.tiiny.site/

It is quite beautiful and short to write AB=C and B^A=T

A^A=J means 10^10=1,00000,00000

What do you think?

https://preview.redd.it/onw7vkkhlzdd1.png?width=367&format=png&auto=webp&s=10d787a2c7c76ced04c76b666c5ef16c9ddc69ef

Twenty two over seven.

Yo, I had posted this a while ago but didnt give much info so I figured id repost a better version and see if anyone has anything different to say (I recall being told this is a table of coprime integers, but still). I discovered this specifically trying to organize musical intervals of just intonation, where A starts at a perfect 5th and includes all just intervals in one octave, and B starts at the octave and includes all just intervals across the whole frequency spectrum, both excluding unsimplified fractions. Im assuming this has more general applications.

https://preview.redd.it/x6kqffpv3zdd1.jpg?width=2216&format=pjpg&auto=webp&s=6cf00c466bcbc67ff1f150797e5d2be1ec5ba0f9

Hello everyone, last year, I shifted into a computer engineering program and I found out how I sucked so hard at calculus. The program has 3 calculus courses, in which we take 1 per semester, beginning with Differential Calculus. I passed the subject yet I couldnt really pat myself on the back because if our professor just didnt show us any mercy. I know I wouldve deserved a failing grade. For the second semester, we took up Integral Calculus which I found surprisingly easy at first but when it came to integration that involved trigonometry, I crumbled. I, again, passed due to the mercy of the professor. Next semester, we will take up our last calculus course focused on differential equations.

My questions are:

1.) How should I tackle calculus so that I may find it easier to digest? 2.) Where should I start? Algebra? Trigonometry? 3.) Based on my past experiences from differential and integral calc, how and what should I expect from differential equations? is it any harder? easier?

I can do and I understand the very basics, rudimentary forms of differentiation and integration.

I can say that my algebra is okay in the sense that I always finish top 30 out of the whole department, whenever pure algebra is on the table. However, when it comes to calculus, I always crumble.

Does anyone here know of any research that has been done on the asymptotic density of number fields, or monic irreducible polynomials if you prefer, with a given fixed Galois group? It seems to me like this would be a fascinating research topic!

you solve each and every problems from start to finish or just skim through everything? what's ur revision strategy looks like?

This was something I came up with years ago in hs and I remember neither I nor my maths teacher back then couldn't come to any conclusion about this operation. But since then, this has always made me Wonder if there's a logical solution to this.

What would this operation end up as? Or what would it approach to? Or, is there any way to prove this operation can or cannot be calculated into anything that makes sense?

(Dots don't appear to be very visible I guess: after 3, it proceeds to 4+1/(5+1/(6+1/...) )

I'm not a mathematician myself, but I recently came across a Facebook post by a public school teacher, who teaches Math, and claims to have made a significant mathematical discovery. The post garnered a lot of attention—many people were wowed and loved it, but there were also a number of laughing reactions.

Curious about the mixed reactions, I checked the profiles of those who laughed, and most of them turned out to be mathematics majors. This has left me wondering if the discovery is legitimate or if there's something about it that I'm missing.

I wanted to reach out to the experts here to get some insights.

PS. The picture below is an email sent to the President of the Philippines.

I’m 15 years old and im starting high school in August, here in sweden you have to choose a specific ”specialization” to study, and i’ve chosen Science. I became really interested in math and physics last winter and im now looking for recommendations as to what part of math i could study at home that will help me further on in high school, the Science program is the most intense program you can choose from and we study the courses mathematics 1-5 In just 3 years so im really trying to prepare myself and spare my free time from studies later on, so i’m curiousin in what way could i prepare myself and what basics and rules would be the most helpful in all of the mathematical categories?

As for now i have started to understand and study Tangent, Sinus and cosinus in Trigonometry in right angled triangles from math 1 course and i have also learned the most basic stuff in Calculus, such as very basic integrals, im also starting to understand the basics of primitive functions.

I am good at math, generally. I would say I'm even good at both abstraction(like number theory and stuff) and visualization (idk calc or smth) but when it comes to specifically competition level geometry I find myself struggling with problems that would seem basic compared to what I can do relatively easily outside of geo. Why is this? What should I do?

The Golomb ruler is a mysterious and elegant combinatorial object with many real-life applications:

https://medium.com/cantors-paradise/a-king-among-rulers-2f521b6a0baf?sk=d1d884f0991072f4788188a5a3986c47

Hey all,

Two quick questions if you kind soils can help!

When exactly can we differentiate both sides of an equation and what does this reveal fundamentally about equations that I didn’t learn ? I was taught that it absolutely is always valid to do any operation as long as it’s done on both sides. Simple example is x=0 and then differentiating gives 1=0. So there must be something more fundamental missing behind the magic of equations.

If you look at the first pink underlined in the snapshot, why is he saying after differentiating we get dy/dx = 2x? Shouldn’t it be 1=2x? Why is he leaving the dy/dx there ?

Trigger warning: Terrence Howard

Terry is obviously wrong about mathematics. However, some part of me is genuinely curious how we could model his version of multiplication into a mathematical structure, even though it'll just have an arbitrary operation which adds nothing interesting to regular addition and multiplication. I haven't been able to find any Terryology times tables, which would have been helpful, but his "proof" that 1x1=2 and other resources give insights.

From what I've seen, the best model would just consist in making multiplication the same as addition. Here's why: he uses a so-called law of universal equilibrium, by which all equations should be "balanced", as if every number has a weight and both sides of the equation must weigh the same. He also seems to think that the square root of a number is the same as it's half: “One times one is two because the square root of four is two”.

Another candidate is that a*b for Terry is just a*(b+1), since what he confusingly calls the associative and commutative laws, state that “When a and b are positive integers, a*b is equal to a added to itself as many times as there are units in b.” Ironically this makes multipication neither associative or commutative, and is not distributive over addition.

I keep asking Dall-E and Midjourney to do things like make a 9-pointed star, but no matter how many times I ask, and even when I upload a sample, it can't create a 9 pointed star.

Do AI programs exist in the wild that CAN do this??

Guys. this is one of my college friend from Chemistry. And I'm from Physics. He claims to be isro researcher working directly under Nambi Narayanan. He has isro letters claiming to receive INR 20 crore for research in "spectroscopy of ultracold atoms". When we(physics students) exposed him, he blocked all of us and complaint to our HOD with fake allegations. Now we have thought to expose him on large scale. Please guide me/us how to register his complaint with isro.

Find attached DRIVE link for proof

https://drive.google.com/drive/folders/1LEyXTQbm3x19Ba4dsuKxjxdteLbEsPj9?usp=drive_link

I once owned a cute little booklet about mathematical curiosities. It was at most 120 pages (therefore thin, say ⅓"), and it was a small-format paperback, say at most 6"×4½", with a glossy yellow (iirc) cover. Its title was (or contained) a "funny" number, funny in the sense that certain combinations of mathematical operations always yield that particular number regardless of what number they start with. I think the number was something like 1389 or 1789, or something similar. One chapter in the book was about this curious number and the operations that yielded it. I remember other chapters about the derivation of Euler's equation, and various formulas for pi. I recall that the booklet tried wherever it could to link these mathematical "phenomenona" to behaviors exhibited by physical systems. It was a remarkable little booklet because it was small but not superficial, and very fascinating.

Does anyone know which booklet this was? It was in English, btw, and at the time I bought it (~2010) gave the impression of being a recent publication.