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- W1966010238 abstract "and 2jk(f) = --UZjk(t) + /h;(t -. T) Q(f), (3) where i, j, k = 1, 2 ,..., n, and fi :> 0. Ve will establish global limit and oscillation theorems for the nonnegative solutions of (*) when (*) has any fixed number of variables (n > 2) and T is any fixed nonnegative time lag. (*) arises as an example of a nonstationary prediction theory, or learning theory, whose goal is to discuss the prediction of individual events, in a fixed order, and at prescribed times ([l], [2]). In this theory, (*) describes a machine M subjected to inputs C -7 (Zi , I, ,..., I,,) by an experimenter E, who records the outputs S = (.x1 , .Y~ ,..., s,J created thereby. E has only the inputs C and outputs X at his disposal with which to describe (*), and in terms of these variables (*) takes the form 2(t) = -c&(f) -jB(X,) X(t T) + C(f), (4) where R(X,) is a matrix of nonlinear functionals of X(W) evaluated at all past times w E [-T, t] with entries" @default.
- W1966010238 created "2016-06-24" @default.
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- W1966010238 date "1968-06-01" @default.
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- W1966010238 title "A prediction theory for some nonlinear functional-differential equations. II. Learning of patterns" @default.
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- W1966010238 doi "https://doi.org/10.1016/0022-247x(68)90190-x" @default.
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