A same meaning or not problem: OPTIONS:
- no
- yes
For the recording of this album , a new drummer , Heyden Wilson , joined the band , as did a second guitarist Dave Traves .
A new drummer , Dave Traves , joined the band for recording this album , as did a second guitarist Heyden Wilson .
****
[A]: no

Same meaning?
It formally investigated the mechanics of social networks and articulated the mathematical consequences of these ( including the degree of connectedness ) .
It formally articulated the mechanics of social networks , and explored the mathematical consequences of these ( including the degree of connectedness ) .

OPTIONS:
- no
- yes

Answer: no

Problem: S1: 64 Democrats and 64 Whigs were declared elected to the New York State Legislature of the 73rd New York State Assembly .
S2: In the New York State legislature of the 73rd New York State Assembly , 64 democrats and 64 whigs were elected .

Do S1 & S2 convey the same information?

OPTIONS:
- no
- yes

A: yes

Problem: (1) The full octahedral group is the cross product of the symmetric group Sand the cyclic group Z .
(2) The symmetric octaedrian group is the full product of the cross group Sand of the cyclic group Z .

Do (1) and (2) mean the same thing?

OPTIONS:
- no
- yes
A: no

Please check if these have the same meaning.
Murfreesboro is part of the TN Metropolitan Statistical Area -- Davidson -- Hickman County -- Franklin , Nashville .
Hickman County is part of the Nashville Metropolitan Statistical Area - Davidson - Murfreesboro - Franklin , TN .
OPTIONS:
- no
- yes
Answer: no

A same meaning or not problem: OPTIONS:
- no
- yes
Dudi Sela won the title after defeating Thomas Fabbiano 4 -- 6 , 6 -- 4 , 6 -- 3 in the final .
Thomas Fabbiano won the title after defeating Dudi Sela in the final with 4 : 6 , 6 : 4 , 6 : 3 .
****
[A]:
no