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Terence Tao Mastodon
A concrete example of how AI advances in solving key open problems could inihibit the future development of a mathematical field can be found in the global regularity problem for the incompressible Navier-Stokes equations (as well as its counterpart for the Euler equations). Until recently, this problem was on track to be one of the most promising examples of an AI-assisted success story, in which AI tools could be used both to solve the problem and to set the stage for the next round of progress in the field. While the problems remain open for now, there is now an increasingly realistic scen…
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korrents.com
Temperature is a rare conceptual lever that lets you use physics to reason usefully about a biological problem.Their words
Basically what that gives you is like you can apply a lot of theoretical sort of um a lot of theoretical toolkit used in physics to model parts of this question in ways that are actually useful. And it is just not true that you can use like equations from physics to think usefully about almost any other problem in biology.
18 December 2025
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22 December 2024
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Their words
But here's the problem with all of those proposals is they all need something. The thing you added, the little fictional term you added into the equations is something called exotic matter and it doesn't exist. It's really just something we dreamed up to make the equation to do what we wanted them to do.
22 April 2024
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Their words
I tear my hair out when people who are not physicists accuse physicists, like you say, of losing the plot because they need dark matter and dark energy. I don’t want dark matter and dark energy; I want something much cooler than that. I’ve tried. But you got to listen to the equations and to the data.
1 June 2020
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Ordinary Differential EquationsTheir words
If you want to understand differential equations, but more from the pure math side of things, Arnold gives a wonderful picture of what the field is all about, with a mixture of high-level intuitions and low-level details, with a satisfying focus on visual and physical intuition along the way.
18 May 2011
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