# Linearization

From AMS Glossary

## linearization

A process of reduction to linear form by appropriate change of variables or by approximation.

For example, 1) the equation

*Y*=*Ae*^{bx}becomes*y*=*a*+*bx*by the transformation*y*= log*Y*;*a*= log*A*; or 2) the function exp(*x*) can be approximated by the linear Taylor polynomial 1 +*x*for small .