Please check if these have the same meaning.
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 .
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 .
OPTIONS:
- no
- yes
Answer: no

Problem: On June 14 , Jackson served in a duel on behalf of his junior officer Jesse Benton as the second against William Carroll , the brother of Thomas .
On June 14 , Jackson served as a second in a duel on behalf of his junior officer William Carroll against Jesse Benton , the brother of Thomas .
OPTIONS:
- no
- yes
-+-
A: no

In computer - complexity theory , randomized polynomial time ( RP ) is the complexity class of problems for which a probabilistic turing machine exists with these characteristics :
In computational complexity theory , randomized polynomial time ( RP ) is the complexity class of problems for which a probabilistic Turing machine exists with these properties :

Are these two sentences paraphrases of each other? OPTIONS:
- no
- yes
yes

1. In a liquid state it appears as a white powder , but it forms a solid crystal when heating .
2. In a liquid state , it appears as a white powder , but when heated it forms a solid crystal .
OPTIONS:
- no
- yes

yes

A same meaning or not problem: OPTIONS:
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- yes
The season 1982 -- 83 National Basketball Association was the 37th season of NBA .
The 1982 -- 83 NBA season was the 37th season of the National Basketball Association .
****
[A]: yes

Please check if these have the same meaning.
Chief Pabawena wrote Utah Senator Arthur V. Watkins in 1949 to report :
In 1949 , Pabawena wrote to Utah Senator Arthur V. Watkins to report :
OPTIONS:
- no
- yes
Answer:
yes