Table 1 List of basic parameters and variables.
From: Quantum-inspired modeling of social impact in complex networks with artificial intelligent agents
Symbol | Meaning |
|---|---|
\(A_{ij}\) | Element of the\(N\times N\)symmetric adjacency matrix that determines topological properties of the DIS network |
\(\langle k\rangle\) | Average node degree |
\(\zeta\) | Normalized second moment of the node degree |
\(g_i=g\) | NIA – AIA interaction strength |
J | AIA – AIA coupling strength |
\(\Omega _{i}\) | s-photon energy provided by the i-th AIA |
\(\Omega _{0,i}\) | Social energy of the i-th NIA (user) activation |
\(\Delta _i=\Omega _{i}-\Omega _{0,i}\) | Social energy detuning that defines how i-th NIA susceptible to information provided by the AIA |
\(\Gamma _i\) | Deactivation rate of the i-th NIA emotional state |
\(\gamma _{e,i}\) | Rate of spontaneous change of the i-th NIA’s emotions and moods |
\(\gamma _{p,i}\) | External information pump rate for i-th NIA |
\(\kappa _i=\kappa\) | Information loss rate |
\(\alpha _i; E_i =\alpha _i e^{i\Omega _{0,i}t}\) | Complex variables that specify the amplitude of the average coherent information field established by the i-th AIA |
\(\sigma _i^+=(\sigma _i^-)^*\) | Complex variable that specify that average emotional activation (excitation) of the i-th user |
\(\sigma _i^z\) | Average emotional state of the i-th NIA (arousal) experienced in response to the information provided by their AIA |
\(\sigma _{0,i}^z\) | Steady-state arousal of the i-th NIA |
\(\sigma ^{x,y,z}_i\) | Components of the i-th NIA affective vector \(\vec {\sigma }_i = (\sigma ^{x}_i, \sigma ^{y}_i, \sigma ^{z}_i)\) associated with the affective sphere |
\(R_i\) | Affective sphere radius of the i-th NIA |
\(F^{x,y}_i, F_i\) | Forces acting on the i-th NIA from the other network actors |
