shape function
21Smooth function — A bump function is a smooth function with compact support. In mathematical analysis, a differentiability class is a classification of functions according to the properties of their derivatives. Higher order differentiability classes correspond to …
22Polynomial and rational function modeling — In statistical modeling (especially process modeling), polynomial functions and rational functions are sometimes used as an empirical technique for curve fitting.Polynomial function modelsA polynomial function is one that has the form:y = a… …
23Gaussian function — In mathematics, a Gaussian function (named after Carl Friedrich Gauss) is a function of the form::f(x) = a e^{ { (x b)^2 over 2 c^2 } }for some real constants a > 0, b , c > 0, and e ≈ 2.718281828 (Euler s number).The graph of a Gaussian is a… …
24Magnetic shape-memory alloy — Magnetic shape memory alloys (MSMAs), or ferromagnetic shape memory alloys (FSMAs), are ferromagnetic materials which exhibit large strains under the influence of an applied magnetic field due to martensitic phase transformation. Magnetic shape… …
25Functional equation (L-function) — In mathematics, the L functions of number theory are expected to have several characteristic properties, one of which is that they satisfy certain functional equations. There is an elaborate theory of what these equations should be, much of which …
26Iterated function system — In mathematics, iterated function systems or IFSs are a method of constructing fractals; the resulting constructions are always self similar.IFS fractals as they are normally called can be of any number of dimensions, but are commonly computed… …
27Probability density function — Boxplot and probability density function of a normal distribution N(0, σ2). In probability theory, a probability density function (pdf), or density of a continuous random variable is a function that describes the relative likelihood for this… …
28Error function — Plot of the error function In mathematics, the error function (also called the Gauss error function) is a special function (non elementary) of sigmoid shape which occurs in probability, statistics and partial differential equations. It is defined …
29Cumulative distribution function — for the normal distributions in the image below …
30Holomorphic function — A rectangular grid (top) and its image under a holomorphic function f (bottom). In mathematics, holomorphic functions are the central objects of study in complex analysis. A holomorphic function is a complex valued function of one or more complex …
