What is the F'ing equation to find the length of these equilateral triangle sides? Without using the hieroglyphic symbols, just simple numbers and simple words. Like radius multiplied by whatever.

https://preview.redd.it/3x7rnn4r6jge1.png?width=1039&format=png&auto=webp&s=a42d0be1f919c0402354b667bc7761a1177c2082

It's been all most 30 years since I learnt math at school. I need to solve this equation but completely forgot how to do it. Any assistance would be greatly appreciated. How do I find x and y?

40x + 53y = 517.44

As the title says, I barely passed Calc 1 with a C- almost 5 years ago when I was at uni. I don't think I remember a single thing from the class. Calc 2 is the very last class that I need to graduate. I haven't been to college in 2 years now and am just really stuck on what to do. I am currently taking an online 16 week Calc 2 class at my local community college but have no clue what is going on and it's only the first week of class. Should I drop the class and retake Calc 1 instead? Problem is that a week has gone by so l'll be a bit behind. I just feel like I'm falling behind in life and am starting to lose hope. I'm currently working part time and am just completely stressed out. I'm not even sure if I would be able to pass Calc 1 at this point as I haven't taken math in such a long time and feel that my precalc, algebra, and trig knowledge is little to none as well. Can anyone give me any advice on what to do from here? I'm lost. Thanks.

Hi everyone,

Learning about open and closed sets and I’ve read that a single point can be both open and closed. Would somebody shed some light on this for me?

Thanks so much!

If anyone has advice, I am ready to listen. My question is, I want to pursue pure math and graduate studies, research. But I want to double major in comp sci. I mostly want bs degree and no humanities, I am obsessed with STEM. If I choose math primary I will have ba degree and lots of humanities requirements. If I choose cs primary, and I then choose math secondary will it hinder the amount of advanced math courses that I can take, or the rigor of preparation for my graduate studies in pure math? I want the highest amount of advanced courses in pure math. I think cs first could cause problems in doing that, I but need advice.

Also cs degree could have lots of applied math requirements which would be extra because I want pure math. What should I do, math first ba cs second bs or cs first bs math second ba?

I'm an undergraduate first year studying applied mathematics. I already have to take a few physics classes, and was wondering if I would benefit at all from minoring in it? Will it help me get into a more computational/engineering centered career? Or would it be a waste of my time and money.

Hello all !!

I am a high school senior. For the entirety of my education I have sucked at math. I paid little to no attention in my classes because my teachers were mean, discouraging, and just unwilling to help me. So like a good 50% of all people, i gave up! it wasn’t until I had an awesome, amazing teacher for both physics and pre calc that I learned I’m actually not bad at all!! I love calc and I love physics. I would love to major in finance and math in college but I’m afraid I don’t have the basic math skills to excel! My question is : I begin college in the fall of 2025, are there any courses or online classes I take to relearn my basic algebra, geometry, and calc basics ?? I am willing to self teach in a sense and put in the work! From all you math majors out there, is it possible???

https://youtu.be/XLNHPQS4hZY?si=GonKFG6eL0vrS8uY

Check this series out. It's been around for a while and I'm surprised no one has decided to post it here. I don't believe the Mathematics being described here are necessarily real or insightful but I'd love to get a perspective from someone with an actual background in math. It touches on some complex concepts and poses that the idea of math is in some way an infection, definitive set reality is abnormal in the "multiverse" if you will.

For context: I'm an engineer and it's been a while since I looked at some good mathematics including probability theory.

I was looking at this post in NoStupidQuestions. All the top comments tried to prove OP's statement wrong by giving analogies or other non-mathematical answers. There is now an itch in my head to frame an answer that is 'math-sounding'.

I think the statement "everything has a 50/50 probability" is flawed since that assumes the outcomes are a) either it happens; b) or it doesn't, and hence, the probability of it happening is 50%. This can be shown wrong by just pure absurdity - the chance of dinosaurs coming back to life next Thursday are 50/50 since it will either happen or it won't. Surely, that's not right.

But I'm looking for answer that uses mathematical terms from probability theory. How would you answer this?

Limit[Sum[((t+1-x)((t+x)^x)-((t^x)(t+x)))/(t*(1-x)*(t+x)),{t,1,∞}],x->1]

I went looking for the Euler Mascheroni gamma constant without using Euler's number, the gamma function, logarithms, π, complex numbers, primes, factorials, the floor function, integrals, the Riemann zeta function, double series or nested summations.

I had previously got to a limit with a larger summand, and it did fit the criteria, but it was larger and uglier. Despite being large and ugly, it looked like it wouldn't simplify. Then I performed a reparametrization, on a hunch I guess, and it gave me this limit. This expression might be considered simpler than the other because it avoids fractional powers and uses fewer factors in the numerator, making it easier to compute for most algebraic purposes. And, because when x=1 is plugged into the sum it becomes 0÷0, it's easy enough to use L'Hopital's Rule to prove it converges to the Euler-Mascheroni constant. I can show that in the comments if desired.

I just reckon it's a nice thing. I can't say if it could be useful though.

Really just had to get that off my chest. My apologies

Hello all,

I was hoping to get some advice from anyone who majored in mathematics. I am currently an undergrad college student, I am learning accounting but I am heavily leaning towards math. I worry about fully taking the leap and majoring in mathematics because I’m not really sure what I’d do with that degree. Becoming a high school math teacher was my main idea, but r/teachers heavily recommended against that, and also I myself just think I’d be too overwhelmed to have my whole job be public speaking to a class of hormonal teenagers. I’ve also looked into becoming an actuary, I’m not super into statistics, but I feel like it’s something I might be able to do. I don’t know, I’m mainly looking for job security and decent pay (preferably with the ability to get into 6 figs once I have the experience).

I tried to summarize what I love about math in hopes that it would help me better understand what I’d like. I’m going to attach that below.

“I love the feeling of not understanding a problem and then having someone sit down and explain it to me, I love doing similar problems over and over until I grasp the concept. I love how structured math is, I love memorizing formulas and then using them repeatedly and they work every time because it’s a set fact! I love the feeling of finally understanding a math process and then being able to put it to use. I just love the feeling of learning and understanding math problems. I can definitely do word problems, but I heavily prefer like those basic high school math homework sheets we’d get where there’s 20 similar problems on the page and you just gotta solve them all. I really enjoy high school algebra, geometry, and trig, and I’m currently learning about summations in my college math class and that’s pretty interesting. I’m not really into coding or stats, and when math starts to get into imaginary numbers and becomes really abstract, I can get pretty confused, but also I haven’t really taken any courses like that. I feel like if i took a specific class for it, I could most likely figure it out. Idk, I’m not the greatest at math, I had to retake a semester of algebra 2 in high school (that’s when I fell in love with it), and I have to take an additional support class with my current college math course because of my past grades in high school. Math isn’t something that I’m particularly gifted at, but I can understand it well when I put in the time and energy. And the amazing thing about math is that I’m genuinely interested in it and I have a want to practice and get better! I can’t really say that about most/if any of the other subjects/classes I’ve taken.” -summary

If anyone has any advice on what careers they went into as a math major, that’d be super helpful! Also if anyone has any career ideas that fit my above description, that’d be amazing.

I’m also curious, to anyone that has a math-related career and is queer and/or transgender, does that affect your career at all? I’m sure it heavily depends on the location and type of job, but are there any specific jobs/fields I should avoid as a queer trans person?

In several works about calculus on manifolds, differential forms, etc. I've seen authors state that differential forms are only a small subset of possible integrands in the context of calculus on differential manifolds. They might give an example or two of integrands that are not differential forms, but never with enough context to understand the wider landscape of possible integrands.

Please recommend a source that explains this in great detail, at the level of a student who has completed, say, H.M. Edwards' Advanced Calculus: A Differential Forms Approach or Munkres' Analysis on Manifolds, but does not require any prerequisites they do not absolutely require. Something at the same level of mathematical maturity assumed of United States undergraduate third year at the kinds of universities that offer a BS or BA in mathematics but don't offer graduate mathematics courses or programs and don't have TAs.

So when I was in secondary school(I think in America it’s high school or sumt) I would ALWAYS avoid and never cared about Logs and Vectors.

I’m telling you I never once cared about these topics because they’re consider the ‘bigger’ topics in secondary school. Typically these bigger topics only come for 1/2 questions in exams. So I still managed to Ace and topped my cohort in mathematics without them.

Post secondary, I still did the same thing towards Log and Vectors. Topped my cohort in mathematics again. For some reason, they weren’t big topics either.

I started university, I’m in aerospace and I realise how much trouble I’m in. All these years I’ve been trying to avoid Log and Vectors, they finally caught up to me.

I never once paid attention to these two topics and they’re a huge part of uni now and I just don’t even know where to begin. So yeah, what is that one topic in math u hated so much that eventually caught up with you?

Title itself.

Interesting things in point set topology, metric spaces or anything else in other math areas applying or related to these are welcome.

I always hear my math teacher and top students confidently proving theorems and propositions, and honestly, I find it not just cool but really interesting. I want to develop this skill too, but I don’t know where to start. How do I learn to construct solid mathematical proofs? What mindset, techniques, or resources should I focus on?

Hello, any number divided by zero is undefined I know. But I think logically the answer is 0. Here's my explanation:

Logically Dividing means this, if you have 4 carrots and 2 people so each person will get 2 carrots (4/2=2) simple. So if the carrots are none (0) then everybody gets no carrots. But what happens when there is no people? Well there is still 4 carrots but 0 people so how many carrots will each person get? If there is no one there so no one will get any carrots! So the answer is zero. I mean this has to be correct in some way am I right?

Edit: I'm Wrong 😅

Why do we have, groups, subgroups, commutative groups, rings, commutative rings, unitary rings, subrings, fields, etc... Why do we have so many structures. The book that I'm studying from presents them but I feel like there's no cohesion, like cool, a group has this and that property and a ring has another kind of property that is more restrictive and specific.... But why do they exist, why do we need these categories and why do these categories have such specific properties.

I am a Physics undergrad who wants to be a mathematician. I am thinking of doing a Reading project in a pure math topic under a prof, for the sake of knowledge itself and also to build my profile.

But how do I produce proof of doing this project? This is not a part of an official program. I was hoping that I could use this for further projects and grad admission opportunities.

Let G be a integer partition of a non-negative integer. Let H be a sub partition of G. H's sum must be greater than one.

If all parts of H are equal to each other then all parts of H must change such that there must not be any equalites. H's sum must not change after this action.

Because H is a subset of G, G's parts corresponding to H also change too.

Let's play a scenario where G=3+1+1+1. The new sub partitions for H were arbitrarily picked because for this game because there can be multiple different partitions that H could go to; that obey my rules.

G=3+1+1+1, H subset of G H=1+1+1 so H -> 3 so G -> 3+3

G=3+3, H subset of G H = 3+3, so H -> 5+1, so G -> 5+1

G=5+1

What sort of properties associated with this particular system would you find that are interesting?

Hey guys, I'm a third-year undergraduate Applied Math & Physics major debating which dept to apply to next year. I'm really interested in Theoretical Physics, particularly in Quantum Information Sciences and Numerical Methods applied to physics. I'm also interested in related topics like condensed matter, AMO and stochastic processes, although QIS is likely the topic I want to research.

I'm checking out both math and physics departments in other schools and there are specific professors from both departments whose research I'm interested in.

I know some graduate programs have you not work with a specific PI, but you're accepted into the department and you do rotations to find out who you are ultimately working with (QIS research is rare in the math department, so I might have to work on other mathematical subjects, most of which I'm not very fond of). Also, there are questions of GREs, what type of graduate classes I should take for the rest of my undergrad, department culture, and the type of work you do in the field (proofs vs experimental vs computational).

I was wondering if I could apply to both types of programs, just depending on the specific professors research or if I should focus my efforts on one type of program. I've taken graduate classes in both subjects and have research experience in both subjects (primarily math though). Any advice?

If anybody knows how to clean up this notation, please comment, otherwise, enjoy my complex-but-useless math breakthrough!

Would you say that someone with a PhD in mathematics and that has not studied engineering generally has the same qualification to be an engineer as someone with an M.sc in engineering?.

As i am not an engineer i came up with this question on the prejudice that physics and thus enginering, is in essence math. Also on the assumtion that you are generally not qualified to be an engineer without "university level" math skills.