This paper proposes a mathematical formalism for describing the machinery of human mind creativity. Since some functions of mind support discreteness of cognition, but others support its continuity, while time in physics is always continuous, an attempt to overcome the continuous/discrete duality of mind performance is implemented via utilization of special critical points: terminal attractors ...

Reference Model #1 is a tidal turbine operating in a narrow, tidal channel. The site is a generalized version of Tacoma Narrows, Puget Sound, Washington. The resource is a mixed, mainly semidiurnal tidal regime with two ebbs and floods each day of unequal strength (i.e., a diurnal inequality in which a strong ebb/flood exchange is followed by a weak exchange). The diurnal inequalities provide e...

This model was suggested to Ising by his thesis adviser, Lenz. Ising solved the one-dimensional model, ..., and on the basis of the fact that the one-dimensional model had no phase transition, he asserted that there was no phase transition in any dimension. As we shall see, this is false. It is ironic that on the basis of an elementary calculation and erroneous conclusion, Ising’s name has beco...

In other words, full conditional distribution of Xn depends of only on the neighbors Xn−1 and Xn+1. In the 2-D setting, assume that S = {1, 2, . . . , N} × {1, 2, . . . , N} is the set of N2 points, called sites. For a fixed site s define a neighborhood N(s). For example for the site (i, j) the neighborhood could be N((i, j)) = {(i− 1, j), (i + 1, j), (i, j − 1), (i, j + 1)}, where one may take...