One of the highlights in the Robertson-Seymour theory on graph minors is the finiteness (for each fixed surface S) of the set of the minimal forbidden minors for S. Theorem 7.0.1 (Robertson and ...
Abstract Forty years ago, Kleitman considered the numbers of crossings in good planar drawings of the complete bipartite graph ${K_{m,n}}$. Among other things, he ...
Quantum mechanical calculations of atomic systems comprise a suite of computational methods that rigorously apply the principles of quantum mechanics to determine a range of atomic properties. These ...
The research team led by Prof. PENG Xinhua from University of Science and Technology of China (USTC) of the Chinese Academy of Sciences, and the collaborators, achieved for the first time the ...
In cavity quantum electrodynamics (QED), the interaction between an atomic transition and the cavity field is measured by the vacuum Rabi frequency Ω 0. The analogous term 'circuit QED' has been ...
This is a preview. Log in through your library . Abstract We give a short proof of a recent theorem of Ionescu which shows that the Cuntz-Pimsner C*-algebra of a certain correspondence associated to a ...
The best theory for explaining the subatomic world got its start in 1928 when theorist Paul Dirac combined quantum mechanics with special relativity to explain the behavior of the electron. The result ...
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Dirac's Plate Trick, the Hairy Ball Theorem and more: Research probes physics of irregular objects on inclined planes
How gravity causes a perfectly spherical ball to roll down an inclined plane is part of the elementary school physics canon. But the world is messier than a textbook. Scientists in the Harvard John A.
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