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The blue curve is broken into sections of adopters. Diffusion of innovations is a theory that seeks to explain how, why, and at what rate new ideas and technology spread. The theory was popularized by Everett Rogers in his book Diffusion of Innovations, first published in 1962. [1]
The reason this gives a stable distribution is that the characteristic function for the sum of two independent random variables equals the product of the two corresponding characteristic functions. Adding two random variables from a stable distribution gives something with the same values of and , but possibly different values of μ and c.
Figure (a), left, shows a two-dimensional Poincaré plot of the logistic map's state space for r = 4, and clearly shows the quadratic curve of the difference equation . However, we can embed the same sequence in a three-dimensional state space, in order to investigate the deeper structure of the map.
Flow state theory suggests that when individuals are in a state of flow, they experience deep immersion, focus, and intrinsic motivation in their activities. [52] In the context of education, flow has been associated with increased student engagement, which is a key determinant of learning success.
The simplest kind of an orbit is a fixed point, or an equilibrium. If a mechanical system is in a stable equilibrium state then a small push will result in a localized motion, for example, small oscillations as in the case of a pendulum. In a system with damping, a stable equilibrium state is moreover asymptotically stable. On the other hand ...
Other theories and models of arousal do not affirm the Hebb or Yerkes-Dodson curve. The widely supported theory of optimal flow presents a less simplistic understanding of arousal and skill-level match. Reversal theory actively opposes the Yerkes-Dodson law by demonstrating how the psyche operates on the principle bistability rather than ...
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The theory of diffusion of innovations differs from other theories about the processes of change since most changes are improvements, or "reinventions", of a previously existing product or technique. These changes are generally favorably perceived by the members of the group because they usually are more in line with the values and needs of the ...