Steven Strogatz

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Holy cow! Six months! That's how long it took a group (admittedly a large and energized group) of Lean enthusiasts to formalize what Scholze had called "one of his most important results yet"! Project is only ½-way done, but that was the part he was most worried about. Congrats!…
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I had so much fun chatting with @DrBrianKeating on his podcast Into The Impossible. You can watch our wide-ranging conversation here: I am a bit freaked out by it, actually, because Brian got me to drop my guard completely. You'll see the real me!
Infinite Powers by @stevenstrogatz will change the way you look at math. It’s my most often gifted book in the last year. In addition to hosting @QuantaMagazine’s podcast “Joy of X”, he’s a brilliant mathematician, mentor, & mensch! Watch our chat👇
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I'd be curious to hear from any of you (esp. those with expertise in economics) about the idea here:…. Do you agree that inflation risk is the only thing stopping governments with sovereign currencies from ``printing money'' indefinitely? (ht @SamCMaths)
I've been reading Infinite Powers by @stevenstrogatz & loved his section on Archimedes. Reading of the Eratosthenes letter & how Archimedes used an intuitive method before attempting proofs makes him real person I'd like to meet and not just a distant historical figure.
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Our very own ⁦@JSEllenberg⁩ in @nytimes — Funny as ever, and full of great book recommendations (and thanks for the shout out, bruh!)…
Working with @stevenstrogatz, Aiyana Green PAM '22, rescaled the US federal budget comparing it to a family budget. In the @nytimes article, they say “If we can relate big numbers to something familiar, they start to feel much more tangible, almost palpable.” @CornellCHE…
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This video is part of a series that Dan Rubin is making called “Tricky parts of calculus“. It goes beyond the usual fare, and is worth a look if you are interested in something new.…
Tip of the day: Mathematician Dan Rubin is making some very interesting videos, but few people seem to be aware of them. I learned a lot from watching this one: “How people came up with the natural logarithm and the exponential function” via @YouTube
As we discuss in the piece, the basic idea of comparing the federal budget to a family budget came from a 2009 blog post by mathematician Terry Tao:…. And Terry says he got the idea from an article by the economist Greg Mankiw.
So this year, I offhandedly mentioned that I would really appreciate it if someone could update the numbers with a much more recent federal budget. Aiyana was the only student who took me up on it, and this is what it led to.
Whenever I’ve taught the course in the past, I’ve asked the students to analyze the numbers in the US federal budget by rescaling them down to the size of a household budget for a family of four (to make better sense of them) but the only data I’ve had available were from 2008.
Our essay grew out of an exercise that I had the students do in my course “Math Explorations” this past semester!
The backstory behind this piece: My co-author Aiyana Green just finished her junior year as a policy analysis and management major in Human Ecology at @Cornell.
In today’s ⁦@nytimes⁩, Aiyana Green and I discuss how to make sense of big numbers by reframing them in more familiar terms. We illustrate the idea by rescaling President Biden‘s proposed federal budget to the household budget for a family of four.…
🚨 New paper day! 🚨 Numerical renormalization group-based approach to secular perturbation theory -> <- read here This paper took waay longer than expected, because, you know, pandemic and all that. A thread 🧵, 1fGh
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Just submitted a new paper with my grad student Max Lipton @Maxematician and longtime pal and collaborator Rennie Mirollo: If you like group theory and hyperbolic geometry and want to see how they apply to coupled oscillators on spheres, have a look!
I’m only on the first page of this book, and I can already see that I’m going to love it! Check out how it begins (see the next two tweets in this thread):
I was today years old when I learned about \eqref{}.
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In a world before derivatives, Fermat solved optimization by assuming two converging points are not equal (so they don’t divide by 0 in algebra) but are approximately 0 so can be substituted. 🤯 The steps people took to discover modern math is crazy. Now we have autodiff.R
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The invention of graphs and charts was a much quieter affair than that of the telescope, but these tools have done just as much to change how and what we see.
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When Graphs Are a Matter of Life and Death — by mathematician @FryRsquared in @NewYorker.…
Now *that’s* what I call a math meme! 👏 🙌…eIy
Enjoy the series of stunning moves in this classic chess game between Levon Aronian and Vishy Anand, with comments by @DanielKingChess via @YouTube
"Beer Mats make bad Frisbees" (by Johann Ostmeyer, Christoph Schürmann, Carsten Urbach):
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Sticky baseballs: Explaining the physics of the latest scandal in Major League Baseball
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This was a super fun read! A sports physicist (what a cool job) explained how sticky stuff can make curveballs more curvy.…
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La matemática colombiana Tatiana Toro, egresada de la @UNALOficial, ha sido nombrada la nueva directora del Mathematical Sciences Research Institute (MSRI - @mathmoves) en Berkeley, uno de los centros de investigación matemática más importantes del mundo. ¡¡Muchas felicidades!!…
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Here is the unpaywalled version of the Dawson article:…
Released today: my conversation with @seanmcarroll about gerrymandering and Markov chains.…
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A clear introduction to the hyperreals and a discussion of 0.9999... in that context is given by Bryan Dawson here:… (Sorry if it's paywalled for you. I wish I could share the article freely. Maybe write to Bryan Dawson at Union University to ask for it?)
My take on this: It depends which number system you're using. In the reals, 0.999...=1. In the hyperreals, 0.999... requires interpretation. Depending how you interpret it, it's either < 1 or = 1. [e.g., the hyperreal corresponding to the sequence (0.9, 0.99, 0.999, ...) is < 1].
Dr. Delilah Gates (@Harvard’s Black Hole Initiative) joins me to discuss the mesmerizing mysteries of Black Holes! ✅ Cosmic Censorship ✅ Holographic Principle ✅ Spaghettification!
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PS. I’m not going to discuss this when the poll is over. There is plenty of material about this on the Internet already! I’m just curious what you all think.
Consider .999999… where the 9’s continue “all the way out to infinity.” This number is
Be open to different perspectives—you may discover something new. To strengthen my right-brain, I drew an image upside down (so no left-brain analysis). Here’s my first “topsy turvy” try—a reproduction of Picasso’s drawing of Igor Stravinsky (along w/ a genuine flipped Picasso).
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A simple visual aid to see why the area of a circle is half the circumference times the radius. Based on a section of @stevenstrogatz' new Infinite Powers book
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For any new followers who haven’t already seen this:…
2/ #2 Me + Danny + Niall Ferguson on: Doom, catastrophe, optimism, pessimism, failures of imagination, narratives, beliefs, China, totalarianism, Middle East, Israel v Palestine, Kissinger, News + availability bias, the woke movement in academia, science + institutions...
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1/ Just wrapped taping 2 live in-person convos #1 me + Danny: on bias, noise, decision making, intelligence + artificial intelligence, well-being, happiness, reducing suffering, risk perception, why he hates “irrationality”, free will, surprise, error correction, fairness....
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The instrumentalization of the tragedy of Jews who suffered, were humiliated, marked with a yellow star, isolated in ghettos & murdered during the Holocaust, in a debate on different systems that aim at protecting public health is a sad symptom of moral and intellectual decline.…
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Lie groups, or manifolds w/ group structure, are very cool. Their groupiness lends some out-of-the-blue oddities, such as: Every sphere in a lie group can be collapsed to a point The proof is really neat, as you’ll hopefully see in this visceral and very pictographic 🧵 1/
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I learned this one the hard way. Thanks @AdamMGrant for finding this.
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