A nonlinear transformation, based on the sinh function, can be employed to remove or damp out the rapid variations of the nearly singular kernels.
It arises from the nonlinear transformations of random variables that often are applied in obtaining the derived quantity.
Linear and nonlinear transformations are often dealt with via digital image processing.
Replace each component by a nonlinear transformation of field variables on each lattice point and the coupling term on suitable, chosen neighbors.
The Möbius transform is also a nonlinear transformation, only possible for integer sequences.
Wili recognized the composition of linear and nonlinear transformations: Inside his head, Wili had played with those through most of the winter.
However, use of a nonlinear transformation requires caution.
The Belinski-Zakharov (inverse) transform is a nonlinear transformation that generates new exact solutions of the vacuum Einstein's field equation.
Such an equation can be solved by writing as a nonlinear transformation of another variable which itself evolves linearly.
These methods include averaging and other forms of filtering, repetition of measurements, nonlinear transformations to avoid saturation, etc.