Explaining Cobb-Douglas with the New Mathematics of Inteduct

The Cobb-Douglas production function is used for around a hundred years and describes the macro economic reality very well. Though nobody doubts its validity, there is no rigorous derivation of it. Giving this derivation is done in this publication for the first time. We start with the most general version of a production function just assuming that there exists such function of an arbitrary number of variables (all possible input factors). We then make a Taylor expansion of this function still containing many variables. We then average over groups of variables via an inteduct. The groups can be e.g. labor and capital leading exactly the well-known version of the Cobb-Douglas production function. As we know how to derive this function, we also know the origin of the normally small deviations between Cobb-Douglas and the reality.