nontrivial function
1Chebyshev function — The Chebyshev function ψ(x), with x < 50 The function ψ( …
2Riemann zeta function — ζ(s) in the complex plane. The color of a point s encodes the value of ζ(s): dark colors denote values close to zero and hue encodes the value s argument. The white spot at s = 1 is the pole of the zeta function; the black spots on the… …
3Riemann zeta function — ▪ mathematics function useful in number theory for investigating properties of prime numbers (prime). Written as ζ(x), it was originally defined as the infinite series ζ(x) = 1 + 2−x + 3−x + 4−x + ⋯. When x = 1, this series is called the… …
4Green's function — In mathematics, Green s function is a type of function used to solve inhomogeneous differential equations subject to boundary conditions. The term is used in physics, specifically in quantum field theory and statistical field theory, to refer to… …
5Cryptographic hash function — A cryptographic hash function (specifically, SHA 1) at work. Note that even small changes in the source input (here in the word over ) drastically change the resulting output, by the so called avalanche effect. A cryptographic hash function is a… …
6Pfaffian function — Not to be confused with Pfaffian. In mathematics, the Pfaffian functions are a certain class of functions introduced by Askold Georgevich Khovanskiǐ in the 1970s. They are named after German mathematician Johann Pfaff. Contents 1 Basic definition …
7Prime-counting function — In mathematics, the prime counting function is the function counting the number of prime numbers less than or equal to some real number x cite book |first=Eric |last=Bach |coauthors=Shallit, Jeffrey |year=1996 |title=Algorithmic Number Theory… …
8Mertens function — to n=10,000 Mertens function to n=10,000,000 In …
9Stretched exponential function — Figure 1. Illustration of a stretched exponential fit (with β=0.52) to an empirical master curve. For comparison, a least squares single and a double exponential fit are also shown. The data are rotational anisotropy of anthracene in… …
10Activation function — In computational networks, the activation function of a node defines the output of that node given an input or set of inputs. A standard computer chip circuit can be seen as a digital network of activation functions that can be ON (1) or OFF (0) …
