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00:03
@M.A.R. Two teenagers (one of them now studying pharmacy) amazed the Math academic community by their new proof for Pythagorean theorem. Their work is fast tracked to be published in the American Mathematical Monthly. Girl power!
00:33
@GratefulDisciple Be nice if they explained what they did.
@Robusto For laymen (like me) there's enough teaser in there, using only trigonometry:
> Despite thousands of proofs—ranging from Euclid to modern algebraic approaches—it was widely believed that a purely trigonometric proof was impossible. Why? Because trigonometry itself is built upon the very theorem it seeks to prove. Any attempt at using sine, cosine, or tangent to verify Pythagoras’ equation seemed destined to rely on the theorem itself, leading to a circular argument. But two high school students refused to accept this limitation.
@GratefulDisciple Yeah, I read that too. But I'd like to see the proof.
Quick googling led me to this powerpoint slides seemingly to contain the proof (enough details that make my head spin). But the real deal is of course the journal article.
Surprisingly, the journal article is out already (Oct 2024) and is free to download.
00:54
@Robusto Hmm I suppose those letters look the same as mine, thanks.
Somehow it seems to be a subtly different from what it used to be, not sure.
Maybe it has something to do with the rendering.
@GratefulDisciple Not sure it has a name, but you might call it Graeco-Roman polytheism.
Though plenty of temples around the Mediterranean were of different panthea.
01:28
Connections
Puzzle #606
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Purple sucks.
The rest is fine.
02:09
@GratefulDisciple well I constantly amaze myself for being able to do double-digit multiplication at work
@Cerberus no it's the same boring sans serif, why?
02:23
@CowperKettle TL;DW?
@M.A.R. I don't know, it somehow looks slightly different to me.
Maybe more compact, maybe rounder shapes. But very subtly so.
@Cerberus it looks a bit thinner, but I think that's just my tired eyes
Hmm.
If you see something, too...
Time to panic!
Exactly!
02:29
Or complain. That works too
That's my current course of action.
I'll ask around on meta
Exciting.
02:56
@M.A.R. I often do that in my head. It's actually kind of easy. Unless I'm distracted by lots of shit.
03:09
I do it when needed, but I find it super annoying to do.
Going over all the partial products several times to make sure I'm not misremembering any.
OK I just did 87 x 98.
8526.
@Cerberus I just translate that into 8700 - 196.
Wait, I goofed.
@Robusto I did do 8700 - 174.
But it's still super annoying to do.
I don't trust myself to make no mistakes.
No, but I mainly do it for approximations.
So I need to check and double check every step, while trying not to forget earlier steps.
Sure, approximations are easy.
67 x 43, exact.
2881?
Woohoo I got it right.
And I closed mine eyes immediately after typing the multiplication.
Haha, I mentioned distractions. I was trying to do that while playing a video game with friends.
03:20
@M.A.R. Whenever I need to relax, I just check the news. Always so much to smile about! /s
03:47
Why the "/s"?
Is that needed?
 
1 hour later…
05:16
Let’s start at the top, since it’s the simplest there. If we’re talking about web pages, our presentation layer is going to consist of CSS. We could also go for <font> tags with color attributes, but favor is definitely turning from that sort of thing.
How do you guys understand "favor is definitely turning from that sort of thing"?
Is this saying that if you're going to use that sort of thing (font tags with color attributes), it is going to be favorable to us?
It sounds odd to me, but I would understand "turn from" = move away from. So favour is moving away from that thing = people no longer favour that thing.
05:44
@Cerberus Thank you very much. But let's wait and see what other people have got to say about it.
05:59
@MichaelRybkin I agree with @Cerberus about the meaning. The idiomatic way to say this is: this sort of thing is falling out of favor. (It’s not clear to me what “sort of thing” is meant by color-coded fonts.)
@Xanne Thank you very much.
@M.A.R. "We've been using up the Earth's resources at an accelerating rate"
06:11
@MichaelRybkin Sounds strange, should be what Xanne suggested: "..., but this sort of thing is falling out of favor", with "this sort of thing" referring to using "<font> tags with color attributes"
@MichaelRybkin No, it's the other way around: using CSS to define font color is more favored over "<font> tags with color attributes"
06:24
@Mitch LOL
@GratefulDisciple Got it. Thank you.
 
6 hours later…
12:33
@Robusto but can you do it while three customers are staring at you, each asking for something specific they've heard on social media is good for something and they're all wrong and you have to lecture each one for 10 minutes because of ethics and stuff?
@CowperKettle for renewable energy? Yeah probably those wind turbines and solar panels use some rare metals and stuff and that's not renewable, but as they get more efficient that's gonna become less problematic. You can't do anything about fossil fuel or emission
in Tavern on the Meta on Meta Stack Exchange Chat, 4 hours ago, by Shadow Wizard
@M.A.R. not really slight, it's quite different indeed:
We were right. Time for some indignant jubilation, ho ho ho!
New vs old font I think
12:56
Connections
Puzzle #606
🟩🟩🟩🟩
🟨🟨🟨🟨
🟦🟦🟦🟦
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1 hour later…
@M.A.R. No. I can't do that.
14:23
El Cantar de mio Cid (lit. 'The Song of my Cid', or 'The Song of my Sidi ('lord')'), or El Poema de mio Cid, also known in English as The Poem of the Cid, is the oldest preserved Castilian epic poem. Based on a true story, it tells of the deeds of the Castilian hero and knight in medieval Spain Rodrigo Díaz de Vivar—known as El Cid—and takes place during the eleventh century, an era of conflicts in the Iberian Peninsula between the Kingdom of Castile and various Taifa principalities of Al-Andalus. It is considered a national epic of Spain. The work survives in a medieval manuscript which is now...
The Life of Lazarillo de Tormes and of His Fortunes and Adversities (Spanish: La vida de Lazarillo de Tormes y de sus fortunas y adversidades [la ˈβiða ðe laθaˈɾiʎo ðe ˈtoɾmes i ðe sus foɾˈtunas jaðβeɾsiˈðaðes]) is a Spanish novella, published anonymously because of its anticlerical content. It was published simultaneously in three cities in 1554: Alcalá de Henares, Burgos and Antwerp. The Alcalá de Henares edition adds some episodes which were most likely written by a second author. It is most famous as the book establishing the style of the picaresque satirical novel. == Summary == Lázaro is...
I reposted this on Twitter, and used Twitter's new built-in feature for explaining pictures and posts
@M.A.R. He also says that we seemingly can't do anything to stop this ever-speeding machine of humanity that gobbles more and more resources.
Starting from primeval times, we were evolutionarily tuned to spread and consume.
Mom said that she can't delete two calls from the phone's call log.
14:40
@CowperKettle Yes, it's often garlanded with the prize of being the first-ever "picaresque" novel, one whose thematic mode per Northrop Frye's anatomy of criticism should be classified as Low Mimetic or even Ironic because it is a tale about someone not whom we look up to but more of a common man we look across to or even a lower character whom we look down to.
I tried to do this, and the phone produces a 'deletion' sound, but upon returning to the call log, D'oh! The two calls are still there.
@tchrist I've downloaded Confederacy of the Dunces but still haven't listened to it
"A Confederacy of Dunces"
@CowperKettle And most likely since the Archean or even the Hadean Era, not merely since the Pleistocene.
> - I'd blame parents, except he hasn't got 'em
- Gotta eat to live, gotta steal to eat,
Tell you all about it when I got the time
15:01
#travle #785 +0 (Perfect)
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https://travle.earth

#WhenTaken #345 (06.02.2025)

I scored 771/1000🏅

1️⃣📍11.1K km - 🗓️17 yrs - 🥉64/200
2️⃣📍37.7 m - 🗓️3 yrs - 🥇197/200
3️⃣📍2.1K km - 🗓️4 yrs - 🥈145/200
4️⃣📍1.6 km - 🗓️5 yrs - 🥇195/200
5️⃣📍836 km - 🗓️5 yrs - 🥈170/200

https://whentaken.com
Wordle 1,328 4/6

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Connections
Puzzle #606
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Strands #340
“I'm a person of my word”
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15:21
Daily Octordle #1109
8️⃣9️⃣
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Score: 67

Daily Sequence Octordle #1109
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Score: 67

Daily Extreme Octordle #1109
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8️⃣5️⃣
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Score: 63
15:47
To best derive an adjective from the noun Apartheid, whether tidily or otherwise, use:

01. Apartheidy
02. Apartheidal
03. Apartheided
04. Apartheider
05. Apartheidic
06. Apartheidly
07. Apartheific
08. Apartheidful
09. Apartheistic
10. Apartheidish
11. Apartheidist
12. Apartheistic
13. Apartheidened
14. Apartheidicky
15. Apartheiderine
16. Apartheiderist
17. Apartheidistic
18. Apartheistical
19. Apartheidickish
20. Apartheideristic
21. Apartheideristical
Sometimes variable width fonts are just not fit for purpose.
@CowperKettle A rising tide boils all boats.
Looks like that 2 °C threshold by 2100 is coming way sooner than feared.
16:10
Tightrope, a daily trivia game | Britannica

Feb. 6, 2025

T I G H T R O P E
✅ ✅ ✅ ✅ ✅ ✅ ✅ ✅ ✅ 🎉

My Score: 1800
This January was the warmest I've ever lived in.
 
1 hour later…
17:13
I was browsing Perplexity and came across cases of "capillary teleangiectasia" which might look like gliosis on MRI but represent a mostly innocent collection of blood vessels. Maybe that's what I have. Some patients with this thing also have special effects like headaches.
I should order a vascular CT or MRI, and specifically point out that I want to focus on this area and check if there's this vascular telangiectasia.
17:37
@Robusto Never had I the least doubt that it would.
18:27
If ever we thought we would see a greater narcissist than Trump, wait no more. Presenting Elon Fucking Musk.
19:19
Old joke but mostly true: A person who speaks two languages is bilingual; one who speaks three languages is trilingual; but what do you call a person who speaks only one language? ANSWER
20:11
@CowperKettle Contrarily, this was a relatively colder January for New England for the past ten years. Still I'd say warmer than the 50 year average.
50 year average: snow starts in mid to Late December (~50% chance of 'White Christmas') ponds freeze over then too, don't melt til late March. Full snow cover Jan to mid March, all side roads narrower by half because of snow plowing.
past ten years: sporadic snow melting within 2-3 days, only substantial snowfall id to late February, melting by early/mid March. avg day temp -5 to 5 C.
@Mitch Also: Guaranteed one major snowstorm in March, just when you think everything's melted.
That's part of the BEFORE picture.
@Robusto and snow piles from plowing don't melt away until early May (maybe late May?)
But past ten years snow piles from plowing melting by late March.
@Mitch I used to see them going into June in Chicago. Especially in shady areas between buildings.
Oops: for past 10 years avg day temp 0-10C (like winter barely shows up)and temp for past 50 years: avg day tem -10 to -5C
@Mitch Yeah, I moved away in the winter of 2015-16, and apparently that was the last really horrible one.
20:21
@Robusto Yes, that was funny. every single week in February we had a huge snowfall... ~10in each time for 4 (maybe 5?) times in a row, maybe one big one right after in March too.
After the first snow, we're all like wow that was a big one, glad winter is over now.
then the second one came and we actually had no where to shovel the snow. The first snow banks took up the whole yard and side of the street.
By the fourth snowfall, the banks of snow where taller than me and we started digging tunnels (for fun).
Anyway, the weather this year so far has been wintry in comparison to past ten years but mild in comparison to last 50.
@Robusto My only memory of snow in Chicago, though I lived there a while, is crossing a street in the Loop, snow pile everywhere lining all the roads, and navigating through the narrow outlets through the snow banks to cross the street, and this one time there was this nice flat un-snowed area up ahead where you could avoid tramping through slushy snow and one step in I went in up to my knee it was just melted snow-salt slushy runoff that filled a car-sized pot hole.
I mean if I had gone all the way I coulda swum home.
@Mitch Yup, sounds like Chicago.
20:46
@Robusto It was classic. I looked around to see if anybody was filming.
There was nobody there to even bother.
50 years from now, when January temperatures are 65 degrees, the city will start deliberately adding potholes to the roads so that you can have a genuine New England winter experience.
Except a pigeon over in the corner of one of the steel piers holding up the el.
on its side.
presumably dead.
I ain't gonna touch that.
Well, assuming that the city's government is still above water, and that the city is also.
@alphabet They're constantly milling and repaving roads that have potholes and badly filled pipe carveouts. We rejoice everytime a nearby street is repaved... we wonder how long it will take after they're done before the first pothole appea... oh already, before they're finished with the whole street.
@alphabet I haven't been to Revere in a while.
I get all my pharmaceuticals from a nearby pharmacy and pay taxes on that purchase like a good citizen.
Hey man that's uncool, disparaging a perfectly fine neighborhood out of prejudice like that.
@Mitch Why Revere? Sorry if I missed a reference.
All I know about Revere is that it has a beach whose only good quality is being accessible via train.
21:16
Named after that lantern guy.
How long until Boston gets occupied by the military again?
21:29
@alphabet No reference other than the general Boston opinion has it that it's not the best. Also I assume it has low lying areas prone to flooding since it is on the coast.
and the one time we went there in the middle of hot summer the beach was empty except for a single guy wearing a coat. I make all my judgements based on that.
22:05
> "I think of myself as slightly left of center, but my father thought of himself as slightly right of center, when he was slightly right of Genghis Khan. So who knows? I do know that I veer left when the right is getting out of hand, which they frequently do."
22:46
The Suebian knot (German: Suebenknoten) is a historical male hairstyle ascribed to the tribe of the Germanic Suebi. The knot is attested by Tacitus in his 1st century AD work Germania, found on contemporary depictions of Germanic peoples, their art, and bog bodies. == Germania == Roman historian Tacitus reports in Germania (98 CE) that the Suebian warriors combed their hair back or sideways and tied it into a knot, allegedly with the purpose of appearing taller and more awe-inspiring on the battlefield. Tacitus also reports that the fashion had spread to neighboring Germanic tribes among ...
> #AI researchers have developed a method to train a reasoning model for under $50, using a distillation process and off-the-shelf models, potentially reducing costs for AI development significantly. doi.org/g836rh
23:14
@Mitch Now that you mention it: I recall that, if you go a few blocks inland from the beach, things quickly get rather...seedy, or sketchy, or whatever you call it.
@Mitch At least he was wearing clothes.
They'll only try to save the rich areas from flooding, of course.

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