Food - Weapon of Conquest with food producers ordered to assist the war aims of the Nazi government. New uses for food products included fat as a component for high explosives, apples to be turned into synthetic fuel and milk made into lubricating oil. German scientists created other synthetic items include a soy substitute for meat, with the purpose of making the nation self-sufficient in food. In Italy, self-sufficiency in food is also a goal for the Fascist regime led by Benito Mussolini who attempted to re-establish Italy's former glory. His efforts to reinvigorate the nation began with a campaign to increase its population, necessitating
Slowly varying function if for all , . A function for which the limit is finite but nonzero for every , is called a "regularly varying function". These definitions are due to Jovan Karamata. Regularly varying functions have some important properties: a partial list of them is reported below. More extensive analyses of the properties characterizing regular variation are presented in the monograph by . . The limit in and is uniform if is restricted to a compact interval. . Every regularly varying function is of the form where Note. This implies that the function in has necessarily to be of the following