multivariate function

The above arithmetic can be generalized to calculate second order and higher derivatives of multivariate functions.

Partial composition is possible for multivariate functions.

The Kolmogorov-Arnold representation theorem then states that every multivariate function is a member of for some finite .

In a sense, they showed that the only true multivariate function is the sum, since every other function can be written using univariate functions and summing.

This is not the only generalization of big O to multivariate functions, and in practice, there is some inconsistency in the choice of definition.

A box spline is a multivariate function () defined for a set of vectors, , usually gathered in a matrix .

Multivariate functions can be handled with the same efficiency and mechanisms as univariate functions by adopting a directional derivative operator.

Generally, optimal sphere packing and sphere covering lattices are useful for sampling multivariate functions in 2-D, 3-D and higher dimensions.

In general, the composition of multivariate functions may involve several other functions as arguments, as in the definition of primitive recursive function.

Gradient, in vector calculus, a vector field representing the maximum rate of increase of a scalar field or a multivariate function and the direction of this maximal rate.

The Fourier Amplitude Sensitivity Test (FAST) uses the Fourier series to represent a multivariate function (the model) in the frequency domain, using a single frequency variable.

They are a natural extension of wavelets to accommodate the fact that multivariate functions are typically governed by anisotropic features such as edges in images, however, wavelets as isotropic objects are not capable of capturing such phenomena.

In mathematical analysis, and applications in geometry, applied mathematics, engineering, natural sciences, and economics, a function of several real variables or real multivariate function is a function with more than one argument, with all arguments being real variables.