:: " The exact calculation of [ variances ] of nonlinear functions of variables that are subject to error is generally a problem of great mathematical complexity.
22.
When a fixed set of nonlinear functions are used to transform the value ( s ) of a data point, these functions are known as basis functions.
23.
"Fire growth is a nonlinear function of time, " said David Martell, a professor of forestry at the University of Toronto who runs a fire management laboratory there.
24.
Second, because the magnetic field B and force are nonlinear functions of the current, depending on the nonlinear relation between B and H for the particular core material used.
25.
In these methods, the signal is mapped to a high-dimensional linear feature space and a nonlinear function is approximated as a sum over kernels, whose domain is the feature space.
26.
Tables of random numbers ( such as 256 random 32-bit integers ) can provide high-quality nonlinear functions to be used as hash functions or for other purposes such as cryptography.
27.
The function " F " is some nonlinear function, such as a polynomial . " F " can be a neural network, a wavelet network, a sigmoid network and so on.
28.
In most of the cases, it is not easy or even feasible to compute the MLE under the restricted model when c ( \ beta ) include some complicated nonlinear functions.
29.
At any given time step, each non-input unit computes its current activation as a nonlinear function of the weighted sum of the activations of all units from which it receives connections.
30.
Furthermore, for each input prediction there may be several inputs which are nonlinear functions of P " i " ( 1 ) in addition to stretch ( P ( 1 ) ).