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Another big problem will be that the chiral fermion determinants are complex-valued - numerical lattice simulation methods require real (positive) fermion determinants.
Definition of complex spherical harmonics will be reserved for the complex-valued functions normalized to unity.
This book is the first monograph ever on complex-valued neural networks, which lends itself to graduate and undergraduate courses in electrical engineering, informatics, control engineering, mechanics, robotics, bioengineering, and other relevant fields.
What advantages do the complex-valued neural networks have?
Each path is assigned a complex-valued probability amplitude, and the actual amplitude we observe is the sum of all amplitudes over all possible paths.
(which is often parameterised as a complex-valued function of the position space).