I got an email from someone asking for my "Essential Trigonometry for Calculus" cheat sheet, which I give to my calculus students. So, I thought I'd put it on GitHub for anyone to download (compiled PDF and source code). https://github.com/divisbyzero/Essential-Trig-for-Calculus
**Request**
I am looking for accounts (related to my interests) to follow, any suggestions will be greatly appreciated.
For all my academic colleagues who now work at the University of Bums on Seats - or if you are in the US and dont speak English, the University of Butts in Seats (they share BS in common)
@academicchatter #academics #universities #bumsonseats #buttsinseats #misinformation #pressreleases #advertising #sciencecommunication #science #astrobiology.
@bibliolater @ai I cannot for the life of me imagine why lawyers still do this. There was that Mata v. Avianca case back in 2023 where a lawyer got flamed by the court for doing it, and ok, I have a little sympathy for him because he probably sincerely thought that ChatGPT was a fancy natural-language search interface. Under those circumstances it was an understandable error, though it's NEVER ok to cite things without checking that the citation supports the proposition you're citing it for even if you're copying out of a treatise or another case, so the guy deserved what he got. However, one of the things he got was a vast amount of mainstream media exposure, and at this point this has come up so often that there's really no excuse for not knowing how bad an idea it is. There's a guy in France who's trying to keep track of all the times it's happened; his database is up to 139 entries, and I'm sure there are a lot of cases he doesn't know about.
🇺🇸 **When Does US Debt Become Genuinely Bad?**
“_The U.S. national debt is on its way to $30 trillion dollars and is projected to be more than 100% of GDP at the end of this year. So is that… bad?_”
#Video length: seven minutes and thirty-five seconds.
🔗 https://www.youtube.com/watch?v=Xi7RvweuIUk.
#WSJ #USA #US #UnitedStates #Debt #Economy #Economics @economics
🇬🇧 💻 **Lawyers face sanctions for citing fake cases with AI, warns UK judge**
“_A senior judge lambasted lawyers in two cases who apparently used AI tools when preparing written arguments, which referred to fake case law, and called on regulators and industry leaders to ensure lawyers know their ethical obligations._”
#AI #ArtificialIntelligence #Technology #Tech #Legal #Ethics #UK #UnitedKingdom @ai
"AI companies claim their tools couldn't exist without training on copyrighted material. It turns out, they could — it's just really hard. To prove it, AI researchers trained a new model that's less powerful but much more ethical. That's because the LLM's dataset uses only public domain and openly licensed material."
tl;dr: If you use public domain data (i.e. you don't steal from authors and creators) you can train a LLM just as good as what was cutting edge a couple of years ago. What makes it difficult is curating the data, but once the data has been curated once, in principle everyone can use it without having to go through the painful part.
So the whole "we have to violate copyright and steal intellectual property" is (as everybody already knew) total BS.
🇨🇭 🏦 🇺🇸 **Swiss National Bank denies currency manipulation after being put on U.S. watch list**
#Business #Finance #Currency #Forex #Switzerland #USA #US #UnitedStates
**Vikings in Cornwall?**
#Video length: one hour and eleven minutes.
📖 **The Foundations of Geometry by David Hilbert**
“_Read or download for free_”
🔗 https://www.gutenberg.org/ebooks/17384.
#ProjectGutenberg #Read #Download #Ebook #Bookstodon #Maths #Mathematics #Math #Geometry @bookstodon
Race, ethnicity don’t match genetic ancestry, according to a large U.S. study
https://www.science.org/content/article/race-ethnicity-don-t-match-genetic-ancestry-according-large-u-s-study
Data from the All of Us program confirm what many geneticists have long promoted
Full paper here https://www.sciencedirect.com/science/article/abs/pii/S0002929725001739 (paywalled)
🇺🇸 **Is It Really The End Of The Bromance?**
Just arrived home after spending the day away from the news. It seems that the bromance that was the Trump-Musk relationship has ruptured. Who could have envisaged this outcome at the start when all those hundreds of millions of dollars were first donated by Musk to Trump's MAGA presidential campaign?
#Bromance #Elon #Musk #ElonMusk #Trump #DonaldTrump #Politics #USPol #US #USA #UnitedStates
🇬🇧 **Five outstanding manuscripts acquired for the nation**
“_Together, these manuscripts shed exceptional light on the study of Hebrew by Christian monks in medieval England, on the administration of a medieval English town, and on spiritual devotion in medieval England and Ireland._”
#Manuscripts #Medieval #Medievodons #History #Histodons @medievodons @histodons
🇺🇸 **When the Founding Fathers Spoke Yiddish**
🔗 https://mishpacha.com/when-the-founding-fathers-spoke-yiddish/.
**Nearly 40% of the world’s glaciers are already doomed, scientists say**
"_Researchers estimate glaciers will eventually lose 39% of their mass relative to 2020, a trend that is already irreversible no matter what comes next and will likely contribute a 113-millimeter increase to global sea level rise._"
🔗 https://edition.cnn.com/2025/06/02/climate/worlds-glaciers-future-study-intl-scli.
#Climate #ClimateChange #Envirnoment #Glaciers #Science #Research @climatechange @science
Not a bot, just a chap in his fifties who occasionally reads things.
Toots are humanities, science, non-fiction, books, maps, charts and graphs related. Some toots containing videos may also find their way into the timeline.
Toots or follows or boosts or mentions ≠ endorsements of any particular notion or notions.
Finis