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String compactification refers to the process of reducing the ten or eleven dimensions intrinsic to string or M-theory down to the four dimensions of observable spacetime by assuming that the extra ...
This work develops a geometric framework for understanding quantum decoherence, entropy production, and the emergence of the arrow of time from higher-dimensional physics. The central object of the ...
CryoPARES is a software package for assigning poses to 2D cryo-electron microscopy (cryo-EM) particle images. It uses a supervised deep learning approach to accelerate 3D reconstruction in related ...
The University of Waterloo acknowledges that much of our work takes place on the traditional territory of the Neutral, Anishinaabeg, and Haudenosaunee peoples. Our main campus is situated on the ...
In 1998, astronomers discovered dark energy. The finding, which transformed our conception of the cosmos, came with a little-known consequence: It threw a wrench into the already daunting task of ...
In this video, we explore the relationship between string theory and quantum field theory (QFT). QFT is a mathematical framework that describes nearly all particles and forces in the universe but ...
Abstract: The behaviour of the moment-sums-of-squares (moment-SOS) hierarchy for polynomial optimal control problems on compact sets has been explored to a large extent. Our contribution focuses on ...
Abstract: The projective line PP^1 is the only algebraic curve on which every degree 0 divisor is principal. For any other algebraic curve, it is thus natural to ask when a ‘random’ divisor on the ...
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