The Fuhrer spent too much time painting rather than learning the marvels of mathematics
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Simple mathematics
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Just completed my notes on neural networks and thought I'd share them. I've essentially got a 10th-grade mathematics background, so this feels like a big accomplishment to me :) reddit.com/gallery/kvonpv
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The deep trench of mathematics
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Buying Bitcoin Is Choosing the Laws of Mathematics Over the Arbitrariness of Corrupt Humans medium.com/in-bitcoin-we-…
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β€œWhile most people imagine mathematicians doing arithmetic all day, with really big numbers, the truth is that the discipline requires a remarkable amount of creativity and visual thinking. It is equal parts art and science.” On what makes mathematics beautiful. pairagraph.com/dialogue/8…
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You know this moment if you love doing mathematics questions.
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TIL Bee's waggle their bodies in the hive when they walk around. They use mathematics to tell other bees the distance, direction and angle to point others towards flowers, water or a new hive. en.wikipedia.org/wiki/Wag…
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Stop passing on your personal distaste for mathematics, and shame on you

I made a post about this before but it came up for me again with one of my schools.

Stop playing into the cultural stereotype of math being hard, or using math as a punishment. We're already working so hard against all kinds of messages from tv to ill-educated parents that all give social credit to hating mathematics, the language of patterns.

Catch yourself please if you see yourself about to say some detrimental garbage like "if you guys don't pay attention we'll do MATH PROBLEMS ("awwww booooo")

If you need reminders of the beauty of mathematics go ahead and ask me or /r/math or /r/learnmath or /r/askmath there are many passionate people who will help you overcome the block you pass on to your students

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What is the mathematic's community's stance on philosophy? Do you read or think about it?

I thought this was the best sub for this, since actual mathematicians hang here. If this is too off-topic, please direct me to a better sub. Thanks!

My department got this mass email (whose subject is not relevant) from a fellow mathematician which has this line, "...mathematics is the ultimate tool for discovering objective reality..." I read some philosophy; not a whole lot, but enough to look at a claim like this and realize that it subscribes to one of many theories in metaphysics and otherwise, some of which are contradictory to the others. It not only presupposes the existence of an objective reality, it also claims that mathematics - and so from context the hard sciences - is the best tool we have for discovering this objective reality.

After reading this line, I suspect that many scientists take this stance too - even if they haven't read about or thought about alternative theories of "reality". Perhaps many of them take this as truth off the bat and that is that, without thinking otherwise. This is disappointing to me personally. The implicit claims made by such statements are never discussed among scientists or mathematicians.

I think it's important to explore this topic, among other philosophical topics, especially for STEM folks, since many of them take this empiricist/realist stance without thinking about it!

I'd love to hear some answers on this, even if you flat out think philosophy as a whole is pointless. If so, why? If not, feel free to elaborate on your thoughts please.

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Social distancing limits in MYER Melbourne. Gotta love mathematics
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Certain levels of mathematics should not be standardized.

Heavy subjects in math have shown to be very unneccessary to fundementally navigate the modern world and could be better filled on a childs schedule with elective classes which easily has shown to give kids better aspirations, future experience, and visions on what they would like to push for later in life.

Advanced subjects of trigonomotry and Calculus are barely used in the modern world other than for industry jobs which were often the path for students in the era that created and formed how we see modern education. Math has easily turned from a way to measure standardized knowledge to a way to measure a childs comprehension, to just how much teachers they are randomly placed in care to help them comprehend. Exams have to be curved on the a state by state level because the heavy standards that math has placed on kids is often unatanable with usually atleast 60% failing to meet the initial benchmarks.

There is no doubt the higher levels of standardized math have little place in a modern world and could be replaced with much better subjects.

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Mathematics are universal, religion is not

Ancient civilizations, like in India, Grece, Egypt or China. Despite having completly differents cultures and beeing seperated by thousand of miles, have developed the same mathematics. Sure they may be did not use the same symbols, but they all invented the same methods for addition, multiplication, division, they knew how to compute the area of a square and so on... They've all developed the same mathematics. We can't say the same about religion, each of those civilization had their own beliefs. For me it's a great evidence that the idea of God is purely a human invention while mathematics and science are universal.

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β€œThe recommended level is 30, mathematics tells us level 11 is close enough.”
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πŸ‘€︎ u/Joyfulldoggo
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A single issue with Rust that kills me every time with mathematics (rust repo issue 20671)

Ok, so I was going to make this as a blog post like I often see on this sub, but I thought I might as well write it out in a post here. I really just want to bring attention to this issue / get suggestions.

I've used rust a lot over the past few years. It's become by go to language for writing mathematical code (pure mathematics, usually research code). I've found that it strikes the perfect balance in making me productive in development (aka not having to spend long hours in gdb just to find a small error, and instead reading a panic message), while giving me optimized code competitive with, and often faster than, my peers' C and C++ code. An example project that I worked on was this combinatorics project, where I found that creating a python interface to my optimized Rust code was a killer combination that got a lot of use out of my peers who were able to take advantage of its raw speed in a very convenient interface.

But in all of my projects, I've run into the same problem. First, when I want my code to be as generic as possible, I use something like the alga crate, or create my own solution (for example when working with weirder things like polynomial rings). This simplifies my code and makes it very generic! Then, I can conveniently say something like "this function takes in two elements of any ring and outputs an element of the same type", etc. The thing that always kills me is that I can't add / do other operations with references of elements with these type constraints. Let me explain a bit...

I would really like to have a trait that expresses "this type's references can be added together". That's fine, you can do that:

trait RefAdd
where for<'a,'b> &'a Self: std::ops::Add<&'b Self, Output=Self> {}

The problem is that this trait is unusable. These constraints after the "where" clause don't automatically get inferred, so if you write a function:

fn my_fun<T: RefAdd>(x: &T) -> T {
    x + x
}

This doesn't compile. Why? Because when you write T: RefAdd, the compiler complains that you don't know if you can add &T's together. But that's what I want to constrain! So, you have to do:

fn my_fun<T: RefAdd>(x: &T) -> T
where for<'a, 'b>: &'a T: std::ops::Add<&'b T, Output=T> {
    x + x
}

Which makes the trait useless to me, since it doesn't simplify anything! Th

... keep reading on reddit ➑

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22 year old mathematics major. Let me have it
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If people do not believe that mathematics is simple, it is only because they do not realize how complicated life is. - John Von Neumann [850X400]
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Does mathematics make you emotional?

After a long time trying to pursue a bachelor's in mathematics, I finally finished my first semester.

At times, when studying mathematics, contemplating its beauty, I get an emotional rush that almost makes me cry out of happiness. Do any of you get this too? Does it eventually fade away?

Shhhh, please don't tell my fiancee, but I think I am falling in love ;)

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πŸ“…︎ Jan 22 2021
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LPT: the most important branch of mathematics you can study in college is statistics. All modern scientific research uses statistical jargon that you will struggle to understand without taking a couple courses on statistics.

I can't emphasize this enough. When I was in college as a STEM undergrad, I hailed calculus as the holy grail of math and spent most of my time studying that. My math courses that ended up being the most useful in the long run and which I still rely on today are the statistics one. Statistical jargon is at the center of most research papers today, and if you don't have a grasp of it, you will not be able to understand the paper's findings in depth.

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First semester of mathematics done 😎
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The mathematics of getting Children. (And how they are in our favour)

"According to a 2017 report from the U.S. Department of Agriculture,Β the average cost of raising a child from birth through age 17 is $233,610. "

So... choose wisely

1 Child (= $233,610)

or

1 Ferrari Portifino (= $218,750) +

2 Weeks 5 Star Vacation 2 People, Hawaii Inn, No children (= $7,350) +

1 extremely powerfull gaming PC (= $5348) +

2 Bottles of 1990 Latour wine (= $1990) +

1 Dinner for 2 at my local restaurant pizza and dessert (= $150) +

1 Pack of premium condoms (= $22)

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What's an area between programming, mathematics and physics?

I'm very interested in mathematics and the branches of physics with lots of math, an recently I've been getting into programming and I think it's lots of fun. Any suggestions as to what area I should be looking at?

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How do I balance studying technique (how to do mathematics) with theory (why these techniques actually work)?

Alright, so I'm a 30 year old guy and I just started a CS degree and will be minoring in mathematics. When I was in high school I did great in mathematics, but I didn't actually understand why I was using the techniques used in maths. I understood how to use the quadratic formula, but had zero clue why the quadratic formula worked. As such, none of the techniques I learned in high school mathematics actually stuck.

I now want to learn mathematics the right way, but I'm not sure how to organise my studying so that I keep up with the classes while also understanding the why behind the techniques we're learning in class. I don't even know why, when dividing a fraction by another fraction, you multiply the first fraction by the reciprocal of the second (a/b)/(c/d) = (a/b)x(d/c), I just know that's what I'm supposed to do. It's so much easier to just memorise these techniques without understanding them, and understanding them takes so damn long.

So I've considered splitting my studying time up between learning techniques (how) versus learning theory (why). Obviously the theory will lag behind the technique, but that's just how she goes. Anyway I'm not sure how to go about this in an efficient way, such as how much time to spend on one versus the other, or what theory needs to be prioritised (I'm learning basic algebra right now with calculus later on).

Any advice you guys have would be appreciated, thanks.

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Hearthstone Mathematics has no credibility.

Introduction

I think it’s long past time people stopped taking β€œHearthstone Mathematics” (u/HS_Mathematician) seriously, for those that ever did. This person tries very hard to wrap themselves in a veil of mathematical authority, yet doesn’t seem to have even a basic grasp of how statistics or data analysis is actually done, and I seriously doubt they have any formal mathematical training. I can see only two possibilities: they are talking out of their ass, or they know better but don’t care because they have a narrative they are trying to push and just want to get there with the least effort possible.

Bold Claims

This individual recently posted what I will generously call an infographic with the headline β€œThe number of players who are willing to invest money has been reduced by almost half, 33% of players continue to boycott Blizzard. What should "Team 5" do to earn your trust?” https://www.reddit.com/r/hearthstone/comments/k7ujtc/the_number_of_players_who_are_willing_to_invest/

Hard Evidence?

What evidence is provided to support such strong claims? The certainty of the headline suggests hard evidence, like quarterly earnings reports with appropriate loss of revenue and statements from Blizzard promoting that narrative explanation. You won’t find one, and the most recent Q3 2020 report from ActBlizz itself (which it should be noted will not include backlash from the battle pass--we’ll have to wait for Q4 for that, or even Q1 2021), shows growth and an increase in hours played year over year. When you look at virtually all metrics, 2020 has been one of their best years. We have a lack of hard data, and what we do have doesn’t support these claims.

Bad Statistics

However, there are other ways to know things. What we were given are the results from two Youtube polls conducted by Hearthstone Mathematics with the implied comparison intended to show a decline in player purchasing behavior. Any person who has done data analysis knows that there is as much art as science to it. We have powerful mathematical theorems to help us, but they often assume perfect conditions that are simply not met in practice. Considerable effort and years of education and training are needed before a person can confidently employ best practices in regards to administering and interpreting polls. Expertise that I, someone with a formal mathematical educatio

... keep reading on reddit ➑

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πŸ“…︎ Dec 07 2020
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mathematics
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In your opinion, what is the most advanced and difficult branch of mathematics that you can think of?

In your opinion, what is the most advanced and difficult branch of mathematics that you can think of?

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Korean Contributions to Modern Mathematics

I was wondering if there have been any notable mathematical contributions from those of Korean descent in modern times. There’s been Japanese, Vietnamese and Chinese laureates but unfortunately no Koreans yet. Who are some of the more prominent Korean mathematicians today that are leaders in their respective fields, and may show signs of promising research and a chance at the Fields Medal down the line.

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πŸ“…︎ Jan 18 2021
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Engineering mathematics 1,2,3,4
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πŸ“…︎ Jan 03 2021
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Mathematics benchmarks for 8th graders - TIMSS 2019
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How do I gain proficiency in mathematics through self study?

I am an engineer by profession, so math is not an alien subject for me. I fared alright in school and college, but I never really had a deep interest in the subject to explore it in greater depth. For some time now, I seem to have developed a new appreciation for the subject for its feature as a rigorous exercise in logic. I would love to experience the fluency that comes with expertise in mathematics and the ability to understand and solve complex problems that I would inevitably face in my career.

How do I go about studying on my own? What resources would be the best to use?

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Mathematics in the medical field

Hello, I'm a medical student and was wondering about mathematical concepts in the medical field other than those related to statistics, so could you tell me if there are any topics that are useful in the medical field especially in research?

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πŸ“…︎ Dec 29 2020
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Hearthstone Mathematics just realesed this table yt3.ggpht.com/kqE0sP0GRuC…
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πŸ“…︎ Dec 01 2020
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Racism and hounded out of Mathematics PhD program in the US

A shorter synopsis of some of the events here: https://academia.stackexchange.com/questions/155185/how-to-proceed-after-being-threatened-and-treated-poorly-by-university-faculty-a

I've been hounded out of the program at a time when I was among the most productive PhD students in our department. It's shocking what little recourse a foreign student has in these circumstances; even though I was trying to get back to India a couple of years back with the toxicity of the situation, it would have been poor to leave a program midway and I kept on.

This is not meant to be a criticism of the US in general; many Indians have very nice memories from their time in the US and in general Americans are super nice and friendly people, and in 98% of PhD programs in the US, I would think such things will not happen. I myself was in such a super nice environment prior to coming to this place. Among many things, this place also wants to be admired for being the first American institute to proclaim that they take caste based discrimination seriously within it's university (https://www.insidehighered.com/news/2019/12/20/university-adds-caste-nondiscrimination-policy).

The university first took the strategy of hiring lawyers to threaten me with very deceptive insinuations and outright falsehoods, as I kept telling them I'll make things public. Then they wanted a kind of written statement where I would write how I "threatened, bullied, harassed people", all to do with the fact that I had kept telling them I'd make things public. The other matter is that my work was going very well, despite this constant harassment, so the ethics of their strategy comes under the scanner even more.

My(now deleted) long post on StackExchange from March of last year. Detailing a lot of garbage from our Math department; it's hard to get across the context in which these comments were made, and a couple of these could be deemed somewhat inoffensive here, but mostly the environment was such that even the couple of seemingly mild incidents mentioned here seemed extremely serious, compared to another PhD environment I had been in till 2016. Frankly, looking back, I wrote this in a very measured tone. The biggest trigger initially for me to want to make these things public

... keep reading on reddit ➑

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Age 18, playing guitar and solving mathematics instead of studying for my biology exam. Make me feel to so I can study.
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πŸ‘€︎ u/_Raven_Black_
πŸ“…︎ Jan 10 2021
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Mathematics lesson in Soviet Union, 1982
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πŸ‘€︎ u/GiorgioPerlasca
πŸ“…︎ Jan 10 2021
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What are the best Mathematics books? I mean not academic ones, one that can make anyone Love Mathematics.

I HAVE FINISHED ALEX'S ADVENTURE IN NUMBERLAND , looking forward to read other books like this.

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πŸ‘€︎ u/SpeedyHok
πŸ“…︎ Jan 13 2021
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Filipino Grade 4 students finished last in an international study assessing their mathematics and science proficiency.
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πŸ“…︎ Dec 10 2020
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Learning Mathematics Fundamentally

Not so quick question,

The last math courses that I took in college were finite, calculus, and statistics, all of which I hardly understood and did poorly in because professors who do math usually shouldn't teach it. However, I've become very fascinated with computer science, particularly machine learning/AI, and I would like to improve my math skills so I can really understand what is going on, and eventually contribute to the field.

However, before I start delving into linear algebra textbooks, I want to unlearn everything that I've been taught in school so that I can truly understand it. If I'm not mistaken, math in the way that's taught in school is drastically different from the way that mathematicians approach it. How would someone go about learning about math the way that an actual mathematician would think about things? Or, how would you learn about math to have a gears level understanding? I don't know exactly how to describe what I'm going for, but you might be the picture.

Thanks!

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πŸ“…︎ Jan 14 2021
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Concrete, well understood but non trivial applications of modern mathematics

First of all, Ive been here long enough to anticipate some answer so Ill start by saying what this post is not about: This is not a thread about general applications of mathematics neither to "the real world" nor to vague broad areas of knowledge. I know about crypto.

Now with that out of the way:

Earlier today I was reading this thread in MO https://mathoverflow.net/questions/153740/why-we-need-to-study-representations-of-matrix-groups ( it has some nice answers, highly recommend it btw ) and it got me wondering about whether there are completely fleshed out highly non trivial examples of uses of relatively modern and abstract results.

My understanding of the development of math is that people went from heating rods of metal , looking at the sky, noticing interesting patterns in numbers , or even solving problems probably related to land and economic calculations to an absurd volume of different subbranches of mathematics dealing with hyperspecific circumstances arising from trying to understand all these things further. We are really good at abstracting away very difficult problems and isolating different obstacles and then developing whole theories dediated to it, just to repeat the process when a new challenge shows up.

But then I think its rare to see written down instances where people look back into whatever the original problem was ( perhaps not the 'original' but one halfway of the abstracting process ) and see how much one can say about it, using all the sub-tree of mathematics that branched out of that problem.

So, for example one could say ok we know a lot of representation theory of groups now! We thus understand group theory a little bit better than we did before, but why did we care about groups? Well because we wanted to understand some symmetries of some objects, so can we now understand these symmetries better? But why did we care about the symmetries? Perhaps to understand better some equations, equations which corresponded with some geometric problem we physically cared for.

Of course we dont need any hightech representation theory to solve some of these classic theorems, but maybe it illustrates my point. It seems to me that in fact it is these more famous solve

... keep reading on reddit ➑

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πŸ‘€︎ u/AngelTC
πŸ“…︎ Dec 16 2020
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I have an obsession with 3, 6, and 9 and their relevance to vortex mathematics. My wife crocheted a blanket for me using my favorite numbers! Basically: 3 rows of 3 red string, 3 rows of 12 white string, and the ends have 6 red strings.
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πŸ“…︎ Dec 28 2020
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How modern mathematics emerged from a lost Islamic library bbc.com/future/article/20…
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πŸ‘€︎ u/homealonso
πŸ“…︎ Dec 05 2020
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Where is mathematics currently?

Hello,

I have traced the "history of mathematics" up and until zermelo and Fraenkel's ZFC. My question is especially on the post Godel period. Beginning with Hilbert's program, Hilbert tried to find some axiomatic system from which we can deduce all of mathematics. Godel's first and second incompleteness theorems prove that whatever axiomatic system Hilbert brings--indeed, whatever formal system anyone brings--will have some statements that the system can not prove nor disprove and the system is unable to prove the consistency of its own axioms, respectively.

My question is: If Hilbert's attempt at logicism has failed, where does that leave modern mathematics? Are we still trying to "find" such a complete consistent foundation? Do we just take ZFC as the foundation of all math and just live with the fact that we can not prove its consistency? What happened after Godel? Any readings on the history of maths that cover this period?

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Start Learning Mathematics on YouTube

Hello everyone,

I have created a video series on YouTube that covers stuff that one needs when one starts learning mathematics.

https://youtube.com/playlist?list=PLBh2i93oe2qtbygdXz4u6Mkh7c_hMLBA8

My goal was to build a bridge between introductions that are too fast and the formal foundations of mathematics. Therefore, it is a mix of different styles and I hope that this can be helpful for a lot of different people. Have fun!

The last part of the series is still in production. So you can tell me if you miss some particular content :)

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What's the name for the field of mathematics in formula construction?

I'm doing a project where I need to create a formula for a certain domain of numbers, but I don't even know how to search for this field of mathematics to learn about it.

Basically, what do you call the studies in: how to make a formula using various operations without just guessing what operations to use?

All responses and help are appreciated, thank you (also sorry if the flair doesn't quite fit, I wasn't sure which one to use)

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Can't argue with mathematics
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What's up with all the mathematic symbols in anime titles

We got Tokyo Ghoul √A

We got 5-toubun no Hanayome ∬ ( double integral lmao)

Rosario + Vampire

Yuru Campβ–³ ( If you count it as delta)

Fate/Zero (I'm joking)

Blood+

Ranma Β½

My new anime series is coming out soon: Kyoto Heist Σ limf(x) d/dx ∬ √A

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[O Levels] 4048 Mathematics Paper 2 Megathread

As per the title, all discussion about the above paper should go in here. How did everyone do?

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TIL after graduating college at 13 with a degree in Mathematics, child genius Promethea Pythaitha received considerable unwanted attention from the Greek-American Community, including an obsessive stalker who was killed in front of her house. en.goodtimes.my/2017/12/1…
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What kind of jobs can you get with a mathematics bachelor's

Hello and I'm sorry if this has been asked many times before but I couldn't find any.

Soo my question is pretty simple, what are the jobs that someone with a bachelor's in mathematics can apply?

My question comes that when I think about it myself, the first answer and sometimes the only one is that they can teach, but since I heard that job opportunities for maths are anywhere, that you can get a job really easy, or do just math bachelor's continue further education (master's, PhD,etc.)

So if you have any idea or are someone with a maths degree, and you work, please let me know what you think.

Thanks

Edit: thanks so much for your responses!!

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