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Entanglement Detection with Complex-Valued Neural Networks
A key problem of quantum information processing is to determine whether a given quantum state is entangled. In this work, we utilize complex-valued...
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Chaos anti-control of coexisting infinite signals and pinning synchronization of a complex-valued laser chain network
There are many applications of chaos anti-control from its inherent state to the expected chaotic state in different disciplines ranging from...
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Multi-scroll hidden hyperchaotic attractor and extreme multistability with offset boosting in a memristor-coupled complex-valued laser network
The computing chip combining electronics and photonics has been proved to have ultra-fast computing speed and super scalability. In this paper, a...
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Pinning synchronization and parameter identification of fractional-order complex-valued dynamical networks with multiple weights
Compared with single weight networks, multiple weights networks are more practical and universal. Considering the unknown structure and time-varying...
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Calculation of Two-Boson Exchange with Complex-Valued Masses
AbstractA new method for calculating the contribution of two-boson exchange diagrams (boxes) to the cross section for a four fermion process that...
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On an Approximate Method for Recovering a Function from Its Autocorrelation Function
AbstractWhen solving many physical and technical problems, a situation arises when only operators (functionals) from the objects under study...
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Multi-valued Quantum Neurons
The multiple-valued quantum logic is formulated systematically such that the truth values are represented naturally as unique roots of unity placed...
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Tau-function of the B-Toda hierarchy
AbstractWe continue the study of the B-Toda hierarchy (the Toda lattice with the constraint of type B), which can be regarded as a discretization...
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Spectral Theory for the Schrödinger Operator with a Complex-Valued Periodic Potential
In this chapter, wePeriodic potential give complete spectral analysis of the Schrödinger operatorSchrödinger operator L(q) with an arbitrary locally...
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Celestial conformal blocks of massless scalars and analytic continuation of the Appell function F1
In celestial conformal field theory (CCFT), the 4d massless scalars are represented by 2d conformal operators with conformal dimensions h =
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Stability Analysis of Pulses via the Evans Function: Dissipative Systems
Linear stability analysis of pulses is considered in this review chapter. The Evans function is an analytic tool whose zeros correspond to...
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Inequalities Pertaining to Quaternion Ambiguity Function
The quaternion ambiguity function is an expansion of the standard ambiguity function using quaternion algebra. Various properties such as linearity,...
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Memristor-based novel complex-valued chaotic system and its projective synchronisation using nonlinear active control technique
In this paper, a flux controlled memristor-based novel complex-valued chaotic system and its projective synchronisation is investigated. The...
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Wave Function, Schrödinger Equation
In the previous Chapter, we described an interference experiment of atoms which, as we have understood, is both a wave and a probabilistic...
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Series Representations for the Characteristic Function of the Multidimensional Markov Random Flight
We consider the symmetric Markov random flight, also called the persistent random walk, performed by a particle that moves at constant finite speed...
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Short Time Quaternion Quadratic Phase Fourier Transform and Its Uncertainty Principles
In this paper, we extend the quadratic phase Fourier transform of a complex valued functions to that of the quaternion-valued functions of two...
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Theoretical Neuroanatomy:Analyzing the Structure, Dynamics,and Function of Neuronal Networks
The mammalian brain is an extraordinary object: its networks give rise to our conscious experiences as well as to the generation of adaptive behavior...
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The Random Weierstrass Zeta Function I: Existence, Uniqueness, Fluctuations
We describe a construction of random meromorphic functions with prescribed simple poles with unit residues at a given stationary point process. We...
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Lattice calculation of the intrinsic soft function and the Collins-Soper kernel
We calculate the soft function using lattice QCD in the framework of large momentum effective theory incorporating the one-loop perturbative...
