About this document
Homogeneous Functions and Their Properties by RJ Diana is a document available to read on EtoBox.
The document discusses homogeneous functions, which are functions where f(tx) = tf(x) for any scalar t. It proves that a continuously differentiable function f is homogeneous of degree k if and only if it satisfies a particular equation involving its partial derivatives. It also shows that the partial derivatives of a homogeneous function are homogeneous of lower degree. Examples of homogeneous functions are given, including applications to economics like the Cobb-Douglas production function.
- Author
- RJ Diana
- Language
- EN