The Arctan trend: precursor of smooth transition functions
1 2 w = ( f(t ) ) b 1 2 for f(t) = b( t 0). A simple arctan function is illustrated in Figure 1 with its derivative shown in the lower figure; in both cases these are compared with the centred logistic function L(x) = 1/[1 exp( \x )] 0.5], so that L(x) 2 o r 1 for x o r f. (For comparability, the arctan function is in units of radians and the ... ................
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