Ricky decides to fight for Nate and confirmed his love for her .
Nate decides to fight for Ricky and confirms his love for her .

Are these two sentences paraphrases of each other?
no

In March 2016 , Macquarie Group acquired a 9.9 % stake in the Southern Cross Media Group from Nine Entertainment Co. Ltd .
In March 2016 , Macquarie Group purchased a 9.9 % stake in Southern Cross Media Group from the Nine Entertainment Co .

Are these two sentences paraphrases of each other?
yes

An alternative extension to compact groups is the Peter -- Weyl -- Theorem , which proves results about representations of compact groups analogous to those on finite groups .
An alternative extension to compact groups is the Peter Weyl theorem , which proves results about representations of finite groups analogous to those about compact groups .

Are these two sentences paraphrases of each other?
no

Ricardo Lingan Baccay was ordained a priest on April 10 , 1987 by Diosdado Aenlle Talamayan .
Aenlle Talamayan was ordained a priest on April 10 , 1987 by Ricardo Lingan Baccay .

Are these two sentences paraphrases of each other?
no