Mathematics MOC

Homogenous function

A function is said to be homogenous of degree iff ==multiplying its arguments by a scalar is equivalent to multiplying the result by a given power of the scalar ==, #m/def/general i.e.

for any scalar . A linear map is by definition homogenous of degree 1.

The properties of homogenous functions allow for the solution of a special class of differential equation. See Homogenous first-order differential equation.


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