All sorts of non-linear functions of the explanatory variables can be fit by the model.
Generally, the numerically generated seismic data are non-linear functions of the earth model parameters.
Additionally, negative values of R may occur when fitting non-linear functions to data.
If a non-linear function is available and thought useful such functions can be substituted for the functions used here.
The original form assumed a strictly linear structure, but this assumption can be weakened to allow for non-linear functions.
It is a typical example of non-linear multimodal function.
The following properties are known to hold for the escaping set of any non-constant and non-linear entire function.
This process essentially linearizes the non-linear function around the current estimate.
For non-linear functions, the rate of change varies along the curve.
More generally, condition numbers can be defined for non-linear functions in several variables.