(philosophy) A form of functionalism (philosophical paradigm of mind) based on the rejection of behaviorist theories in psychology and their replacement with empirical cognitive models of the mind.

plural of sigmoid function

(mathematical analysis, statistics) Any of various real functions whose graph resembles an elongated letter "S"; specifically, the logistic function y=(eˣ)/(eˣ+1)=1/(1+e⁻ˣ).

(number theory) A function, denoted by S(n) for some positive integer n, that yields the smallest number s such that n divides the factorial s!. For example, the number 8 does not divide 1!, 2!, 3!, but does divide 4!, so S(8) = 4.

(mathematics) In harmonic analysis, any of a complete orthogonal set of functions that can be used to represent any discrete function.

(combinatorics) A Boolean function f: Z ₂ⁿ→ Z ₂ whose Walsh transform has constant absolute value.

plural of bent function

plural of Walsh function

(combinatorics) A function from the natural numbers to the set {−1, 0, 1} which maps perfect squares to 0, prime numbers to −1, and is multiplicative.

plural of functional water