Problem: (1) He has three colored stripes on his head , and in the '' Street Fighter Alpha '' series , he wears a turban that he removes before the battle .
(2) He has three colored stripes adorning his head and in the '' Street Fighter Alpha '' series , he removes a turban that he wears before battle .

Do (1) and (2) mean the same thing?
A: no

Problem: (1) Although Fresnel did not know that electromagnetic waves are light , he managed to construct the world 's first coherent theory of light .
(2) Although Fresnel did not know that electromagnetic waves are light , he managed to construct the first coherent theory of light in the world .

Do (1) and (2) mean the same thing?
A: yes

Problem: (1) Now the new matrix representation for the symmetric bilinear form is given by
(2) The New Matrix Representation for Symmetric Bilinear Form is Now Given

Do (1) and (2) mean the same thing?
A: yes

Problem: (1) The problem of checking whether a given polynomial is a permutation polynomial over a polynomial field can be solved in final time .
(2) The problem of testing whether a given polynomial over a polynomial field is a permutation polynomial can be solved in finite time .

Do (1) and (2) mean the same thing?
A:
yes