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Physics
PROF. H. A. WILSON is best known for his experimental researches, but this book shows that he is also able to give clear expositions of the more theoretical aspects of modern physics. As he has
On the necessity of Reidemeister move 2 for simplifying immersed planar curves
In 2001, Oestlund conjectured that Reidemeister moves 1 and 3 are sufficient to describe a homotopy from any generic immersion from the circle into the plane to the standard embedding of the circle.
Quantum logic as motivated by quantum computing
TLDR
In this note, some observations about quantum logic as motivated by quantum computing are made and it is hoped more people will explore this connection.
Some non-braided fusion categories of rank 3
We classify all fusion categories for a given set of fusion rules with three simple object types. If a conjecture of Ostrik is true, our classification completes the classification of fusion
Fermionic Modular Categories and the 16-fold Way
We study spin and super-modular categories systematically as inspired by fermionic topological phases of matter, which are always fermion parity enriched and modelled by spin TQFTs at low energy. We
On Arithmetic Modular Categories
Modular categories are important algebraic structures in a variety of subjects in mathematics and physics. We provide an explicit, motivated and elementary definition of a modular category over a
Some non-braided fusion categories of rank three
We classify all fusion categories for a given set of fusion rules with three simple object types. If a conjecture of Ostrik is true, our classification completes the classification of fusion
Solving differential equations with unknown constitutive relations as recurrent neural networks
TLDR
This work extends TensorFlow's recurrent neural network architecture to create a simple but scalable and effective solver for the unknown functions, and applies it to a fedbatch bioreactor simulation problem.
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