He proved this by giving a constructive method for finding all of the invariants and their generators, but was not able to carry out this constructive approach for invariants in three or more variables.
12.
It's likely that the architects who worked at the Russian Empress'court, including Rastrelli himself, who was the chief court architect, were familiar with the basic precepts of this work and often resorted to the constructive methods of its author.
13.
He adhered to Scribe's constructive methods, which combined the three old kinds of comedy the comedy of character, of manners and of intrigue with the " drame bourgeois ", and blended the heterogeneous elements into a compact body and living unity.
14.
Given the system and the associated transformation group being considered, there exists a constructive method to determine E ( \ hat x, u, y ), W ( \ hat x ), I ( \ hat x, u ), based on the moving frame method.
15.
Given the considered system and associated transformation group, there exists a constructive method to determine E ( \ hat x, u, y ), W ( \ hat x ), I ( \ hat x, u ), \ eta ( \ hat x, x ), based on the moving frame method.