Problem: S1: Mount Morris Township is located in Ogle County , Illinois .
S2: Mount Morris Township is located in the Ogle County , Illinois .

Do S1 & S2 convey the same information?

A: yes

Problem: S1: Brett Steven won the tournament and struck Thomas Enqvist in the final , 4 -- 6 , 6 -- 3 , 7 - 6 ( 0 ) .
S2: Thomas Enqvist won the tournament , beating Brett Steven in the final , 4 -- 6 , 6 -- 3 , 7 -- 6 ( 0 ) .

Do S1 & S2 convey the same information?

A: no

Problem: S1: If the n vectors are linearly independent , equality in the inequality of Hadamard is achieved if and only if the vectors are orthogonal .
S2: If the n vectors are linear orthogonal , equality is achieved in Hadamard 's inequality if and only when the vectors are independent .

Do S1 & S2 convey the same information?

A:
no