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osu! & math

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kesoooo
2 posts
Joined February 2021
Topic Starter
kesoooo
hi i'm an IB student (math ai sl) and i wanted some sort of idea about how i could use any aspect of osu! and turn it into a math research question for my paper

Of course there's many areas i could focus from pp calculation, star rating calculation and many more other features.

something i wanted to work on was a topic related to "Statistics & Probability" i want to focus on studying the correlation of play count of a map and accuracy. there's many other aspects i could use.

this is all just a mess, but please let me know if you have any suggestions or ideas for anything related to osu! and maths
DM FOR MUTUAL
606 posts
Joined March 2021
DM FOR MUTUAL
Yoooo I remember doing this when I was in highschool, I don't remember what I wrote about though. If I remember correctly, you had to use maths from the IB curriculum in the essay, so that's probably where I'd start to make sure you have your bases covered.

A few ideas of the top of my head:

Starting from vectors, maybe you could use them to find the distance your cursor has to travel in a beatmap. I'm guessing you could find the coordinates of the circles in the .osu file of the map, and maybe you could make a script to calculate the cursor travel distance from that. After that, you could run it on a few different maps and see how cursor travel distance compares to the star rating or length of the map or something.

Starting from calculus, you could look at improvement rates. This is a pretty relevant topic in osu discourse, and lots of people have already done some maths about this, so you could find stuff by digging around. For example, there this post, but I don't know the source of the graph. Maybe you could look at different player's pp/rank vs time/hours-played graphs, and find the derivatives of them to get an equation for people's improvement rates. After that, you could maybe see if people improve differently or if everyone has a similar equation.

There's probably a shitton of stuff you could do with statistics and probability as well.
abraker
Global Moderator
8,327 posts
Joined July 2014
abraker
Here is the google drive for my pp research. A lot of statistics and probability related stuff. The juicy stuff stuff is in "accepted concepts" and maybe "pending concepts" folders. This should be plenty for inspiration: https://drive.google.com/drive/u/0/folders/1h3RpYnhBuBaoXDRU-cTj_7v3v0pefL8b
Last edited by abraker , edited 4 times in total.
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