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Therefore, the periodicity of user interests is reflected in the information diffusion dynamics, where it is possible that the number of infected nodes does not converge to a specific value but rather fluctuates according to a time period determined by user interest periodicity.
Contrary to previous works, we focus on the impact of user interest and its features (e.g., interest periodicity) on the dynamics and control of diffusion of useful information within such complex wireless-social systems.
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Note that this pmf says nothing about other symbols; they could be randomly occurring or also perfectly periodic, but most often we are interested in the periodicity of a particular symbol or symbols.
These methods frequently do not detect the periodicity of interest if the significance of the period is close to that of other periods, even if the significance is high.
The time continuous interests' functions take sinusoidal forms to express users' time periodicity of their interest with respect to the propagated information.
Now consider the dynamics for smaller values of the torque ((D < B)), taking into account the existence of solutions going monotonically to an equilibrium and (without loss of generality because of periodicity) restricting our interest to the intervals ([u_{S}, u_{S}+2pi]) or ([u_{U}, u_{U}+2pi]).
In problems where the strength of periodicity is of interest, resampling methods are applicable.
The periodogram shows the amplitude (=power) of periodicities in the time series for all periods of interest (between 20 and 31 h in 3 min steps).
These periodicities occur for signals of interest in well defined manners due to underlying periodicities such as sampling, scanning, modulating, multiplexing, and coding.
Of particular interest are the mid-term periodicities (1 2 yrs).
Grid cells are of great interest to computational neuroscientists as their periodicity allows them to form highly efficient spatial representations and to act as a metric for spatial calculations [ 5 7].
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