7284
There are various proofs of this theorem , by either analytic methods such as Liouville 's theorem , or topological ones such as the winding number , or a proof combining Galois theory and the fact that any real polynomial of " odd " degree has at least one real root .
 person: Liouville; person: Galois
Given options, please tell me the categories of all the listed entity words.Output format is "type1: word1; type2: word2". 
Option: location, person, organization 
Text: {0} 
 Entities: Liouville, Galois 
Answer:
 person: Liouville; person: Galois