Mathematics MOC

Homogenous function

A function is said to be homogenous of degree 𝑛 iff ==multiplying its arguments by a scalar 𝑠 is equivalent to multiplying the result by a given power of the scalar 𝑠𝑛==, general i.e.

𝑓(𝑠⃗𝐯)=𝑠𝑛𝑓(⃗𝐯)

for any scalar 𝑠. 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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