The function f(x,y)=x2+y2 is homogeneous of degree 2 because f(αx,αy)=α2f(x,y).
When there are a group of kids who all look and dress exactly the same, this is an example of a homogeneous group.
Origin of homogeneous
- From Medieval Latin homogeneus from Greek homogenēs homo- homo- genos kind heterogeneous
From American Heritage Dictionary of the English Language, 5th Edition
- From Medieval Latin homogeneus, from Ancient Greek ὁμογενής (homogenēs, “of the same race, family or kind”), from ὁμός (homos, “same”) + γένος (genos, “kind”). Compare homo- (“same”) and -ous, adjectival suffix.