Bratwurst Bucyrus, Ohio (which calls itself the "Bratwurst Capital of America") has held the three-day Bucyrus Bratwurst Festival annually since 1967. Bratwurst Bratwurst () is a type of German sausage made from veal, beef, or most commonly pork. The name is derived from the Old High German "Brätwurst", from "brät-", finely chopped meat, and "Wurst", sausage, although in modern German it is often associated with the verb "braten", to pan fry or roast. While sausage recipes can be found as early as 228 AD, the first documented evidence of the "Bratwurst" in Germany dates to 1313 and can be found in
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