Problem: S1: In the semi-finals , the teams play second in the pools , the first place teams from the other swimming pool .
S2: In the semi-finals the teams in second place in the pools , play the first place teams from the other pool .

Do S1 & S2 convey the same information?

A: yes

Problem: S1: If the n vectors are linearly independent , equality in Hadamard 's inequality 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

Problem: S1: The Hospet taluk , the Mallapuram taluk , the Siruguppa taluk and a small area of the Mysore State sub-taluk were detached from the Bellary .
S2: The Hospet taluk , the Mallapuram taluk , the Siruguppa taluk and a small area of the Subtaluk Mysore State were detached from the Bellary .

Do S1 & S2 convey the same information?

A:
yes