As compared to the wave function, using the electronic density has three main advantages: it is a measurable property, it is more manageable from a mathematical point of view, and it possesses an intuitive meaning. DFT calculations are based on the two Hohenberg-Kohn theorems (Hohenberg and ...
\(\sigma _\text{c}\), and\(n_\text{c}\)are satisfied, an abrupt transition is identified. As the dates of such transitions often occur in clusters, the precise date for a transition within such a cluster is determined by the maximum\(D_\mathrm{{KS}}\)value found within the ...
And board turnover can abruptly transform the extent of a leader’s support, meaning the results of state elections can have direct professional consequences for presidents. “You can come in with a board that is fully supportive, and after a period of time, that changes,” Gearhart ...
In this example, as the removal of any individual timepoint still led to an “abrupt” trajectory, all orange dots were located in the “abrupt” trajectory panel (Fig. 3D). The NRMSE for the “abrupt” trajectory was 0.38 meaning that 38 % of the variation remained unexplained by the ...
The solution to the Lorenz Equation (1) changes significantly in the pink and green sections, demonstrating a kind of abrupt change. This abrupt change is caused by the bifurcation of Lorenz Equation (1), so it should have some physical meaning. For a dynamical system with more than two ...
To appreciate the physical meaning of IF, it is useful to recall that Equations (14) and (15)) can also be expressed in terms of entropy S or mutual information I (see Equations (17) and (23) in [16]), for instance, as follows: T 2 → 1 = ∂ t S [ x 1 ( t ) ] −...