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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).”
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