Fritsch and Carlson [SIAM J. Numer. Anal., 17 (1980), pp. 238-246] developed an algorithm which produces a monotone C 1 piecewise cubic interpolant to a monotone function. We show that their algorithm ...
A key fact in the theory of Boolean functions f: {0, 1}n → {0, 1} is that they often undergo sharp thresholds. For example, if the function f: {0, 1}n → {0, 1} is monotone and symmetric under a ...