His central result, known as Abel's theorem, is the basis for the later theory of Abelian integrals and Abelian functions, a generalization of elliptic function theory to functions of several variables.
Our data suggest that constitutive levels of octopamine, dopamine, or serotonin influence the way that the neural circuits involved in cognitive generalization function.
Our finding that the generalization function for memory decay is wider than for memory formation suggests that the balance between memory formation and decay may tend to favor decay for intermediate contexts.
Then, a generalization to functions of several variables on invex subsets of is introduced.
In the presence of externalities, Thrall and Lucas (1963) introduce games in partition function form as a generalization of characteristic function form games. Recently, some game theorists study extensions of the Shapley value for games in partition function form.
The most common parameterization of the beta density is in terms of its two shape parameters {p,q}: f y ; p, q = Γ p + q Γ p Γ q y p - 1 1 - y q - 1 In the parameterization given above we assume p > 0, q > 0, y ∈ (0,1) and use to denote the gamma function (a generalization of the factorial function to non-integer arguments).
Gulati et al. [11] defined the generalized ( F, α, ρ, d ) -V-type I function-a generalizatiof of convexity.
Breckner [16] introduced the s-convex functions, and Varošanec [17] presented the h-convex functions as a generalization of convex functions.
In order to achieve this goal, we apply the softmax function, regarding it as a generalization of sigmoid function for the multi-SVM case.
Pini [21] introduced the concept of prequasiinvex functions as a generalization of invex functions.
