In mathematics, a linear function (or map) f (x) is one which satisfies the following properties:

• Additivity, f (x+ y) = f (x) + f (y) • Homogeneity, f (αx) = α f (x)

where α is just a scalar constant. A function f (x) that does not satisfy the criteria for linear functions as listed above is said to be nonlinear. The most common types of nonlinear equations may include polynomial, transcendental, exponential, logarithmic, trigonometric, hyperbolic equations or some combination thereof.