TASK DEFINITION: In this task, you are given two sentences in the English language (Sentence 1 and Sentence 2). Your task is to identify the connecting word between the two sentences.
PROBLEM: Sentence 1:Under this method , the stated rate of return offered by the government is the maximum rate of return allowed . Sentence 2:However , investors can accept lower rates of return , including zero percent in some cases .

SOLUTION: however

PROBLEM: Sentence 1:The inability of the MIU system to express or deduce facts about itself , such as the inability to derive MU , is a consequence of its simplicity . Sentence 2:However , more complex formal systems , such as systems of mathematical logic , may possess this ability .

SOLUTION: however

PROBLEM: Sentence 1:She told both of her ex-boyfriends , devoted Todd and sexy Devon , that she needed time to stand on her own . Sentence 2:But now she 's totally alone , without a prom date !

SOLUTION:
but