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HeyStudentsBears's avatar

Big news making the rounds in math and physics circles

OpenAI Says It Has Cracked One of Math’s ‘Millennium Problems’

The company’s announcement is the most dramatic sign yet that artificial intelligence is fundamentally transforming the field of higher mathematics.

https://www.nytimes.com/2026/09/08/science/openai-proof-millennium-problem.html?unlocked_article_code=1._1A.NDUN.t-gJyWqI22Nv&smid=url-share

HeyStudentsBears's avatar

the Navier-Stokes formula is basically Newton's 2nd law, F=ma, for fluid dynamics. Each part of the fluid has it own dynamics subject to various constraints of being part of a bigger picture.

https://en.wikipedia.org/wiki/Navier%E2%80%93Stokes_equations

Wiata78's avatar

That is a correct description of the Navier-Stokes equations. However, the problem that was allegedly solved is the “Navier-Stokes existence and smoothness problem”:

“For the three-dimensional system of equations, and given some initial conditions, mathematicians have neither proved that smooth solutions always exist, nor found any counter-examples. This is called the Navier–Stokes existence and smoothness problem.”

https://en.wikipedia.org/wiki/Navier%E2%80%93Stokes_existence_and_smoothness#Statement_of_the_problem_in_the_whole_space

Indeed, the NYT article notes that the NS problem “ has no clear practical value”.

HeyStudentsBears's avatar

yes, this is all true too.

it is interesting that some of the Millennium prize problems are purely math puzzles as opposed to useful breakthroughs

HeyStudentsBears's avatar

Digital diversions

Justbear's avatar

#Worldle #1692 (09.09.2026) 2/6 (100%)

🔥 Current Win Streak: 2 days

🟩🟩🟩🟨⬜⬅️

🟩🟩🟩🟩🟩🎉

https://worldle.teuteuf.fr/share

HeyStudentsBears's avatar

started off very far away

#Worldle #1692 (09.09.2026) 3/6 (100%)

🔥 Current Win Streak: 2 days

🟩⬜⬜⬜⬜⬅️

🟩🟩🟩⬜⬜↙️

🟩🟩🟩🟩🟩🎉

https://worldle.teuteuf.fr/share

heyalumnigo's avatar

#Worldle #1692 (09.09.2026) X/6 (93%)

🔥 Current Win Streak: 0 days

🟩🟩🟩⬜⬜↙️

🟩🟩🟩🟨⬜⬅️

🟩🟩🟩🟩🟨↘️

🟩🟩🟩🟩🟨↘️

🟩🟩🟩🟩🟨↘️

🟩🟩🟩🟩🟨↘️

https://worldle.teuteuf.fr/share

Did not do well.

heyalumnigo's avatar

Daily Octordle #1689

🕚5️⃣

🔟6️⃣

7️⃣8️⃣

3️⃣9️⃣

Score: 59

heyalumnigo's avatar

🙂 Daily Quordle 1689

6️⃣5️⃣

8️⃣7️⃣

m-w.com/games/quordle/

HeyStudentsBears's avatar

Wordlebot didn't like my 2nd guess, I guess. Admittedly lucky on guess 3 on a 50/50 guess

Wordle 1,908 3/6*

🟨⬛🟩⬛🟨

🟨🟨🟩⬛⬛

🟩🟩🟩🟩🟩

WordleBot

Skill 82/99

Luck 61/99

FiatSlug's avatar

Proving once again that it is better to be lucky than good. Here's my score from today -

Wordle 1,908 4/6

🟨⬜⬜🟨⬜

⬜⬜⬜🟩🟩

⬜🟨🟨🟩🟩

🟩🟩🟩🟩🟩

WordleBot

Skill 94/99

Luck 44/99

Justbear's avatar

Wordle 1,908 3/6*

🟩⬜🟨⬜⬜

🟩⬜⬜🟨🟨

🟩🟩🟩🟩🟩

heyalumnigo's avatar

Wordle 1,908 3/6*

🟨🟨⬛🟨⬛

⬛🟨🟨🟩🟩

🟩🟩🟩🟩🟩

WordleBot

Skill 87/99

Luck 69/99

Wiata78's avatar

Wordle 1,908 4/6

🟨⬜⬜🟨⬜

⬜⬜⬜🟩🟩

⬜🟨🟨🟩🟩

🟩🟩🟩🟩🟩

WordleBot

Skill 93/99

Luck 44/99

FiatSlug's avatar

I don't get it. Your board looks just like mine and yet your luck score is 1 point below mine. How could that be?

Wiata78's avatar

That’s a good question! Though I think you meant that my skill score is 1 point lower, as the luck score is the same. We could probably tease out some more info, but I’m reluctant to give away any guesses here.

FiatSlug's avatar

You're right; it was the skill score.

heyalumnigo's avatar

49ers' Alfred Collins (knee) injured in practice, out for season

https://www.espn.com/nfl/story/_/id/49875661/49ers-alfred-collins-knee-injured-practice-season

MELBOURNE, Australia -- San Francisco 49ers starting defensive tackle Alfred Collins suffered a torn patellar tendon in the team's Tuesday practice in Australia, an injury that will keep him out for the 2026 season.

heyalumnigo's avatar

Ben Shelton stuns Carlos Alcaraz in late-night US Open marathon

https://www.espn.com/tennis/story/_/id/49877286/ben-shelton-stuns-carlos-alcaraz-5-set-late-night-epic-make-us-open-semifinals

Ben Shelton ended Carlos Alcaraz's title reign in the latest-finishing match in US Open history, pulling out a 6-7 (5), 6-1, 6-3, 1-6, 7-6 (10-7) victory in a marathon tussle that ended at 3:33 a.m. ET Wednesday.

Macarolina's avatar

What a win for Shelton. USOpen.org has some great highlights from the match on its homepage.

HeyStudentsBears's avatar

the womens match went 3 sets and so this one didnt even start until about 1100p ET and then it went a full 5 sets

heyalumnigo's avatar

Giants use long ball and starting pitching to beat Cardinals 2-1

https://www.mccoveychronicles.com/san-francisco-giants-scores-standings/111450/giants-cardinals-recap-bryce-eldridge-christian-koss-landen-roupp

The season is winding down, which can only mean one thing: it’s time for the greatest hits to be replayed. It happens in every baseball season, good, bad, or mediocre. September arrives on the calendar, and the team starts reprising all the things that made the season what it was.

heyalumnigo's avatar

Tarik Skubal, Teoscar Hernández extend Dodgers win streak to 6 games (beat the Reds 3-2)

https://www.truebluela.com/dodgers-scores-standings/123936/tarik-skubal-teoscar-hernandez-win-streak

LOS ANGELES — Tarik Skubal pitched his longest start since joining the Dodgers, and Teoscar Hernández continued his excellent homestand in a 3-2 win over the Cincinnati Reds.

HeyStudentsBears's avatar

Super bowl rematch to start NFL season

Wiata78's avatar

Craig Woodson, safety from Cal, playing for the Patriots.

Newellbany's avatar

I legitimately forgot that Seattle won the Super Bowl. I would have had to really think about it to get there.

Not sure if this is because I'm primarily a Saturday football guy, or if the Seahawks are a forgettable NFL champion.

Justbear's avatar

That's because it was the first time a USC QB won the super bowl and we erased it from our memory.

heyalumnigo's avatar

Me too. I was thinking HSB was referencing when Seattle passed.