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#mathematics

12 posts12 participants0 posts today
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Paysages Mathématiques

"[Mathematical induction] is a tool that allows us to move from the finite to the infinite. This tool is always useful because it allows us to skip as many steps as we want, sparing us long, tedious, and monotonous verifications that would quickly become impractical. However, it becomes indispensable as soon as we aim at the general theorem, whose analytical verification would bring us closer and closer [...]" – Henri Poincaré (1854-1912)
#quote #mathematics #math #maths #induction

Photographic portrait of Henri Poincaré, and a quote : "[Mathematical induction] is a tool that allows us to move from the finite to the infinite. This tool is always useful because it allows us to skip as many steps as we want, sparing us long, tedious, and monotonous verifications that would quickly become impractical. However, it becomes indispensable as soon as we aim at the general theorem, whose analytical verification would bring us closer and closer without ever allowing us to reach it."
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Bicycling Monterey 💚🌎🌍🌏

"Ultimately it’s a film that poses a question fundamental to #democracy: if we can’t understand a system that governs us, how much power do we actually have?"
countedoutfilm.com/#about

List of screenings throughout USA: countedoutfilm.com/screenings

On #PiDay, March 14, #Monterey Public Library is hosting a free screening, for teens and adults, of #CountedOut, 4-6PM. Registration required. eventbrite.com/e/monterey-publ BTW, we won’t be surprised if @Schlining ("Turning the beauty, complexity, and wonder of the deep-sea into long strings of ones and zeros”) is among those present.
Other #MontereyCounty screenings include March 13 at #CSUMB.

From trailer: “How is it that we can use math to understand the world, and also change the world?” …“Did you know that if you insert a single statistic into an assertion, people are 92% more likely to accept it without question?”

Counted Out, from filmmaker Vicki Abeles of #RaceToNowhere.

Counted OutCounted OutCounted Out is a math documentary that investigates the biggest crises of our time—political polarization, racial and economic inequity, a global pandemic, and climate change—through an unexpected lens: math.
#Math#Mathematics#USA
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Pustam | पुस्तम | পুস্তম🇳🇵

33-year-old mathematician Wang Hong from the Courant Institute of Mathematical Sciences (CIMS-NYU) has proved the century-old Kakeya conjecture in three dimensions with collaborator Joshua Zahl!

The problem is rooted in the question: what's the smallest area that an infinitely thin needle can sweep out if it has to be turned to point in every possible direction?

News:
[1] scmp.com/news/china/science/ar
[2] english.jagran.com/world/chine

2023 piece from Quanta Magazine on their earlier progress on the problem:
quantamagazine.org/new-proof-t

@tao
#WangHong #CIMS #NYU #JoshuaZahl #Kakeya #KakeyaConjecture #ThreeDimensions #Needle #Geometry #QuantaMagazine #Conjecture #AdvancingMaths #Maths #Mathematics #CenturyOld #Tao #TerenceTao

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