There is much truth to this post about about #math textbooks.
#math
See tagged statuses in the local BookWyrm community
> Dr. Gladys West, Mathematician Whose Work Made GPS Possible, Dies at 95
https://thezebra.org/2026/01/18/dr-gladys-west-mathematician-whose-work-made-gps-possible-dies-at-95/
#RIP #history #math #GPS #science #BlackHistory #BlackMastodon
Can anyone aim me at any learning resource(s) for learning how to properly use a slide rule?
I'm ok with websites, books, whatever. I'd just like to learn how to use one properly, especially since I found my grandfather's which he used for a very long time.
(Boosts / Replies preferred)
Can anyone aim me at any learning resource(s) for learning how to properly use a slide rule?
I'm ok with websites, books, whatever. I'd just like to learn how to use one properly, especially since I found my grandfather's which he used for a very long time.
(Boosts / Replies preferred)
You know you are in Japan when...
You get an email from Amazon.jp that says:
"The used book you ordered is ready to ship. But. In checking it, we determined that, although it's readable, its condition is nowhere near that of something that could be called a "product", so we are refunding charges for both the book and the shipping."
The book isn't here yet, but I'm betting it's in way better shape than many of my purchased used English-language math textbooks.
You know you are in Japan when...
You get an email from Amazon.jp that says:
"The used book you ordered is ready to ship. But. In checking it, we determined that, although it's readable, its condition is nowhere near that of something that could be called a "product", so we are refunding charges for both the book and the shipping."
The book isn't here yet, but I'm betting it's in way better shape than many of my purchased used English-language math textbooks.
Creative Commons licenses need an nAI option added to their usual SA BY NC ND list to explicitly rule out copyrighted work being fed to an AI for training. I am surprised this isn't yet a thing. The ArXiv should give us the option to add such an option to our uploaded material.
#cc #creativecommons #licenses #coding #programming #opensource #arxiv #math #maths #artificialintelligence #ai
Creative Commons licenses need an nAI option added to their usual SA BY NC ND list to explicitly rule out copyrighted work being fed to an AI for training. I am surprised this isn't yet a thing. The ArXiv should give us the option to add such an option to our uploaded material.
#cc #creativecommons #licenses #coding #programming #opensource #arxiv #math #maths #artificialintelligence #ai
Even if, like me, mathematics is not your forté, "The Thrilling Adventures of Lovelace and Babbage: The (Mostly) True Story of the First Computer" is a fascinating graphic novel—part Victorian era biography, part history of computer science, part steampunk alternate universe story. Sydney Padua satirizes Ada Lovelace and Charles Babbage with love and humour, and her depiction of Queen Victoria is hilarious.
I've always found it cool that if you double the smaller acute angle in a 3-4-5 triangle you get the larger acute angle in a 7-24-25 right triangle. You can see this as a consequence of the double angle formula for sine. If \( \alpha \) is the smaller acute angle in a 3-4-5 triangle, then
\[ \sin (2\alpha) = 2\sin\alpha\cos\alpha=2\frac{3}{5}\frac{4}{5}=\frac{24}{25}\]
In fact, if the sine and cosine of an angle are both rational, then so will be the sine and cosine of twice that angle. This gives a way to turn Pythagorean triples into new Pythagorean triples!
For example, suppose \( \alpha \) is an acute angle in a right triangle with \(a^2 + b^2 = c^2 \). Then
\[ \sin 2\alpha = \frac{2ab}{c^2} \]
\[ \cos 2 \alpha = \frac{a^2-b^2}{c^2} \]
By the Pythagorean identity
\[ \left(\frac{2ab}{c^2} \right)^2 + \left(\frac{a^2-b^2}{c^2} \right)^2 = …
I've always found it cool that if you double the smaller acute angle in a 3-4-5 triangle you get the larger acute angle in a 7-24-25 right triangle. You can see this as a consequence of the double angle formula for sine. If \( \alpha \) is the smaller acute angle in a 3-4-5 triangle, then
\[ \sin (2\alpha) = 2\sin\alpha\cos\alpha=2\frac{3}{5}\frac{4}{5}=\frac{24}{25}\]
In fact, if the sine and cosine of an angle are both rational, then so will be the sine and cosine of twice that angle. This gives a way to turn Pythagorean triples into new Pythagorean triples!
For example, suppose \( \alpha \) is an acute angle in a right triangle with \(a^2 + b^2 = c^2 \). Then
\[ \sin 2\alpha = \frac{2ab}{c^2} \]
\[ \cos 2 \alpha = \frac{a^2-b^2}{c^2} \]
By the Pythagorean identity
\[ \left(\frac{2ab}{c^2} \right)^2 + \left(\frac{a^2-b^2}{c^2} \right)^2 = 1\]
And so
\[ \left(2ab \right)^2 + \left(a^2-b^2 \right)^2 = \left(c^2\right)^2\]
which of course also follows directly from algebra.
For example, using this process
\[ (3,4,5) \mapsto (7,24,25) \mapsto(336,527,625)\]
Power in Numbers was great! And this book really shows what one good teacher can do to propel a student to greatness. Almost every woman in the book mentioned one teacher or professor who really helped them on their way. And I fucking love that!
Time for a new #introduction!
I live on the border, where #Arizona, #Mexico and #NewMexico all come together.
I mostly post about #cooking, #gardening, #hiking and #publiclands
I'm interested in #music, #art, #anime, #manga, #comics, #math, #videogames, #retrogaming and #retrocomputing
I switched from #Amiga to #linux and #bsd so I actually know very little about MS Windows.
Time for a new #introduction!
I live on the border, where #Arizona, #Mexico and #NewMexico all come together.
I mostly post about #cooking, #gardening, #hiking and #publiclands
I'm interested in #music, #art, #anime, #manga, #comics, #math, #videogames, #retrogaming and #retrocomputing
I switched from #Amiga to #linux and #bsd so I actually know very little about MS Windows.
Finally, you get my FULL mathematical conceptualization of a 1:1 conversion between Eorzean calendar dates and Gregorian calendar dates.
Enjoy! (Or if you hate math, suffer!) But with love. 💙
#FFXIV #FinalFantasyXIV #FFXIVRP #FF14 #MMORPG #RP #Roleplay #WritingCommunity #FanTheory #Lore #FFXIVLore #Eorzea #Worldbuilding #Chronology #Ludonarrative #GameDesign #Essay #Longform #EorzeanCalendar #SeventhAstralEra #Isochronal #Math #Algebra #Phenomenology #Extradiegetic #ActuallyAutistic #Neurodivergent #Philosopy #Existentialism #MurderOfArcwolves #EllisArcwolf
EDIT: TFW you find you redefined a word instead of explaining it.
Oops, and fixed! The key moment:
…Finally, you get my FULL mathematical conceptualization of a 1:1 conversion between Eorzean calendar dates and Gregorian calendar dates.
Enjoy! (Or if you hate math, suffer!) But with love. 💙
#FFXIV #FinalFantasyXIV #FFXIVRP #FF14 #MMORPG #RP #Roleplay #WritingCommunity #FanTheory #Lore #FFXIVLore #Eorzea #Worldbuilding #Chronology #Ludonarrative #GameDesign #Essay #Longform #EorzeanCalendar #SeventhAstralEra #Isochronal #Math #Algebra #Phenomenology #Extradiegetic #ActuallyAutistic #Neurodivergent #Philosopy #Existentialism #MurderOfArcwolves #EllisArcwolf
EDIT: TFW you find you redefined a word instead of explaining it.
Oops, and fixed! The key moment:
True mathematical randomness: quarter lands on heads 100 times in a row with low probability but zero shame
Lived experience of randomness: actually stochasticity, not randomness