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Fun random fact: the sample rate of Audio CD format is 44100Hz. The Nyquist frequency for audible sound is roughly double the upper limit of human hearing, which is 20kHz.
So why is the CDDA sample rate more than 40kHz, but only a little bit more?
The prime factorization of 44100 is 2^2•3^2•5^2•7^2, which gives a LOT of options for computationally cheap downsampling and playback speed reduction. 😁
Edit: See replies for more reasons this sample rate was chosen! 💙
#math #electronics #audio
I'm absurdly excited to learn that 2024 = 2³+3³+4³+5³+6³+7³+8³+9³.
...and it's because:
2025 = 45², and
45=1+2+⋯+9, and
(1+⋯+𝑛)²=1³+⋯+𝑛³ !
Via https://www.reddit.com/r/math/comments/18tr14a/2024_2³3³4³5³6³7³8³9³/.
Pythagorean Theorem Found On Clay Tablet 1,000 Years Older Than Pythagoras
"The conclusion is inescapable. The Babylonians knew the relation between the length of the diagonal of a square and its side: d=square root of 2," mathematician Bruce Ratner writes in a paper on the topic.
Pythagorean Theorem Found On Clay Tablet 1,000 Years Older Than Pythagoras
It predates Pythagoras by over 1,000 years.James Felton (IFLScience)
Just saw this on the X site... hard to believe people like this exist, but now apparently simple arithmetic is subject to opinion...
I made a post on my (rarely used) blog thinking about my pursuit of higher mathematics and about how/where to apply for grad schools. I would love some advice from those who have pursued their love for Mathematics and it's application in other fields in grad school! I have some concerns and I feel very stuck.
https://freddy.us/thoughts/2023/10/06/thinking-about-grad-school.html
#Math #Mathematics #Mathstodon #Physics #ComputerScience #GradSchool #PhD #Theory #GetFediHired
Thinking About Grad School & Math (Help Wanted)
I have been wanting to apply for grad school for a long time, but as the mathematically obsessed person I am feels frozen trying to find direction and suitable programs to apply to.Frederick Morlock
https://youtu.be/qIZL5qeEKj0
#math, #anime
Congruent Angles Anime OP - A Cruel Angle's Thesis
Math tutorials are the best anime. Re:Zero and Attack on Titan is nothing compared to this.filler vidAn Evangelion Opening ParodyBGM: A Cruel Angel's Thesis ...YouTube
Source: https://www.math.ucla.edu/~marks/talks/circle_squaring_talk.pdf
#math #geometry
Bitwise Operators in GIFs
They Say a GIF is Worth a 2¹⁰ Words... Friendly Animations for Bitwise Operations!Ariella Eliassaf (Wokwi Makers Blog)
I'm a software developer in the AEC industry, typically working to automate engineering workflows in CAD software (revit etc.). I studied Mathematics, so naturally I love functional programming (and luckily get to use F# for most of my work!).
In my free time I enjoy walking, photography, custom keyboards, and any other hobbies my ADHD brain latches onto.
#software #math #tech #adhd
i'm derek, he/him. currently in central california and have lived in new york for a bit too
originally went through #music school up through #dma (lol i'd be surprised if that hashtag actually worked and referred to doctor of musical arts) studying #percussion with aspirations of being a "new music" percussionist but didn't stick the landing in music academia. i got a #math degree somewhere along the way and had been getting heavily into #computermusic and #creativecoding sorts of things working at a media lab during the dma so when covid, hit decided to go back to (online) grad school studying computer science. things i'm really into studying cs-wise are #ai/#ml things (more leaning on the ai-side but we'll see) and "soft-cs"/"extra-cs" sorta intersectional things like #hci and #education and starting to read about #computationalcreativity and other things. not sure where my cs studies will go yet but it'd be nice be able to research ai things more. also, i'm really into #foss / #linux sorta things.
other things i'm into are anime and manga (mostly iyashikei, mecha, and ikuhara things), video games, riichi mahjong, animals (mostly cats, sea otters and puffins), stars are cool, and also vast desolate expanses.
think my website better sums up things: https://derekxkwan.com/