Problem: (1) A systematic study of category theory then allows us to prove general results about any of these types of mathematical structures from the axioms of a category .
(2) A systematic study of category theory then allows us to prove mathematical results on each of these types of general structures from the axioms of a category .

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

Problem: (1) On January 20 , 1873 , she again married Paul Kamai , a maternal uncle of Helen Manaiula Lewis Isenberg and her half-sister Abigail Kuaihelani Campbell .
(2) On January 20 , 1873 , she remarried to Paul Kamai , a maternal uncle of Abigail Kuaihelani Campbell and her half-sister Helen Manaiula Lewis Isenberg .

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

Problem: (1) Theoretically , TS can be derived for simple targets such as spheres and cylinders , but in practice it is mostly empirically measured or calculated with numeric models .
(2) TS can be derived theoretically for simple targets such as spheres and cylinders , but in practice , it is usually measured empirically or calculated with numerical models .

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

Problem: (1) Cyril Sieni ( Cyril of Barcelona ) ( died after 1799 ) was a missionary Capuchin and a Spanish bishop .
(2) Cyril Sieni ( Cyril of Barcelona ) ( died after 1799 ) was a missionary Capuchin and Spanish bishop .

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