One of the strongest application of algebraic geometry in this field is the application of algebraic method for constructing sum of square optimization. These sum of square optimization can then be solved by using semidefinite programming
I watched , 2024 biggest breakthroughs in computer science, by quanta magazine ruclips.net/video/fTMMsreAqX0/видео.html It mentions difficulty of making sense of overall calculated Hamiltonians , so let's do sum of squares and polynomial relaxation :)
Thanks, that is a beautiful summary of the state of the arts: “elegant equations describe toy models’’ and as soon as it gets to a real world problem there is nothing you can say. 🤔 Ok, the real world is difficult, we all know that More exciting is if a simple toy system, when slightly altered, can quickly become unpredictable and chaotic. My favorite example is honey dropping on a moving conveyor belt - is a great visual representation of how small changes in initial conditions can lead to vastly different outcomes, a key principle of chaos theory. I know that I saw this on RUclips, but I cannot find the video anymore 😢
@@VisualMath My Blog comes to the rescue. I searched it for "Honey" and I got two posts: one with your Navier-Stokes video and this video ruclips.net/video/CMYISqxS3K4/видео.html and that reminds me. G.G. Stokes is supposedly buried in a cemetery here in Cambridge, England, in his wife's grave, but I can't find the grave. They say it's in the corner by a house, and I've looked all around and see no sign of it. Isn't that weird? For someone so famous.
One of the strongest application of algebraic geometry in this field is the application of algebraic method for constructing sum of square optimization. These sum of square optimization can then be solved by using semidefinite programming
A beautiful application of real (numbers) algebraic geometry; thanks for sharing ☺
I watched , 2024 biggest breakthroughs in computer science, by quanta magazine
ruclips.net/video/fTMMsreAqX0/видео.html
It mentions difficulty of making sense of overall calculated Hamiltonians , so let's do sum of squares and polynomial relaxation :)
Thanks, that is a beautiful summary of the state of the arts: “elegant equations describe toy models’’ and as soon as it gets to a real world problem there is nothing you can say. 🤔
Ok, the real world is difficult, we all know that More exciting is if a simple toy system, when slightly altered, can quickly become unpredictable and chaotic. My favorite example is honey dropping on a moving conveyor belt - is a great visual representation of how small changes in initial conditions can lead to vastly different outcomes, a key principle of chaos theory. I know that I saw this on RUclips, but I cannot find the video anymore 😢
@@VisualMath My Blog comes to the rescue. I searched it for "Honey" and I got two posts: one with your Navier-Stokes video and this video ruclips.net/video/CMYISqxS3K4/видео.html and that reminds me. G.G. Stokes is supposedly buried in a cemetery here in Cambridge, England, in his wife's grave, but I can't find the grave. They say it's in the corner by a house, and I've looked all around and see no sign of it. Isn't that weird? For someone so famous.