1. Such a function as is called a homogeneous function of degree 1. 2. Intuitively, these symbol classes generalize the notion of positively homogeneous functions of degree m. 3. Positive homogeneous functions are characterized by "'Euler's homogeneous function theorem " '. 4. Positive homogeneous functions are characterized by "'Euler's homogeneous function theorem " '. 5. The equivalence of the two equations results from Euler's homogeneous function theorem applied to " P ". 6. The earliest example of an infinitesimal transformation that may have been recognised as such was in Euler's theorem on homogeneous functions . 7. The result is complicated and non-linear, but a homogeneous function of \ tilde { E } _ i ^ a of order zero, 8. Defines an absolutely homogeneous function of degree 1 for; however, the resulting function does not define an F-norm, because it is not subadditive. 9. *PM : Euler's theorem on homogeneous functions , id = 7121-- WP guess : Euler's theorem on homogeneous functions-- Status: 10. *PM : Euler's theorem on homogeneous functions, id = 7121-- WP guess : Euler's theorem on homogeneous functions -- Status: