The problem of testing whether a given polynomial over a finite field is a permutation polynomial can be solved in polynomial time .
The problem of testing whether a given polynomial is a permutation polynomial through a finite field can be resolved in polynomial time .

Are these two sentences paraphrases of each other?
yes

Feliciano Centurion ( March 29 , 1962 in Buenos Aires , Argentina -- November 7 , 1996 in San Ignacio , Paraguay ) was a Paraguayan painter .
Feliciano Centurion was a Paraguayan painter ( 29 March 1962 in Buenos Aires , Argentina -- November 7 , 1996 in San Ignacio , Paraguay ) .

Are these two sentences paraphrases of each other?
yes

He has a son ( vintage 2000 ) from a previous relationship with TV presenter Angela Gessmann , who married Birgit Schrowange in July 2011 .
He has a son ( born 2000 ) from a previous relationship with TV presenter Angela Gessmann . In July 2011 Lanz married Birgit Schrowange .

Are these two sentences paraphrases of each other?
yes

A few weeks later , in an interview with HumansVsZombies.org , Fixell defended his position .
A few weeks later , Fixell defended his stance in an interview with HumansVsZombies.org .

Are these two sentences paraphrases of each other?
yes