Now dealing with GKP equation with an arbitrary nonlinear coefficient k u), there are some important points to make here: Firstly, one can see from Eqs. (11), (12) that the nonlinear term k u) plays a crucial role for constructing different forms of potential functions and explicit solutions of GKP equation.
Various issues are associated with applying nonstationary modeling to extremes, and in this study, we focus on assessing the need for different forms of nonlinear functions in a nonstationary generalized extreme value (GEV) model of different annual maximum precipitation (AMP) time series.
Investigating different forms of the functions F s) and G(h) represents an interesting avenue for further work.
We have considered the dynamical system (1) with two slightly different forms of the functions G i, called 1A and 1B, arising from two different treatments of intermediate variables (the internal fluxes of certain metabolic reactions) that appear in the database iMC1010v1.
Note that (Z[J]) refers to a functional that maps different "forms" of the function (J t)) over the time domain to a real number.
We separately define three different forms of cost function below.
Leukocytes have different forms of impaired function in a hyperglycemic environment.
The division by the variance of R(g(i)), Var F,) normalized fitness to have comparable values for different forms of R. Function R was a Legendre Polynomials.
Similarly, a meta-analysis revealed that LIFG and pMTG formed a core part of the semantic control network, whereas left inferior and superior parietal lobule and dorsolateral prefrontal cortex were engaged during different forms of executive functioning (KA Noonan, E Jefferies, F Corbett, MA Lambon Ralph, in preparation).
Table 1: Domains of Relativization (y) Table 1 reflects the availability of fine-grained distinctions between different forms of relativism as functions of both objects (x) and domains (y) of relativization.
In both cases, our results exhibit good accuracy compared with previous values using different methods and different forms of trial wave functions.
