Sentence 1: Condition 1 implies that the functions are smooth and globally bounded and condition 2 means that the kinetic energy of the solution is globally defined .
Sentence 2: Condition 1 implies that the functions are smooth and globally defined , and condition 2 means that the kinetic energy of the solution is globally limited .
Question: Do Sentence 1 and Sentence 2 express the same meaning? Yes or No?