Problem: (1) If a lower number is required , the changes are calculated to improve the score .
(2) When a lower number is calculated , changes are required to improve the score .

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

Problem: (1) Different choices for the free variables may lead to different descriptions of the same solution set .
(2) Different choices for the same variables may lead to different descriptions of the free solution .

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

Problem: (1) Westman was the son of the postmaster Carl Johan Westman and Tonny Westman .
(2) Johan Westman was the son of the postmaster Karl Gustaf Westman and of Tonny Westman ( Andersson ) .

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

Problem: (1) The region was the cradle of various ancient civilizations such as Ancient China , ancient Japan , ancient Korea , and the Mongol Empire .
(2) The region was the cradle of various ancient civilizations , such as ancient China , old Korea , ancient Japan , and the Mongolian Empire .

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