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 $𝑠 𝑛$ ==, #m/def/general i.e.

𝑓 (𝑠 ⃗ 𝐯) = 𝑠 𝑛 𝑓 (⃗ 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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