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

Are these two sentences paraphrases of each other?
no

He has a son , Seamus , who is seen , but is never mentioned in the series .
He has a son , Seamus , who is mentioned but never seen in the series .

Are these two sentences paraphrases of each other?
no

With the professional products of Linea Pro , the production is mainly dedicated to the industrial market , while the do-it-yourself market is served by the Linea Blu product range .
Production is mainly dedicated to the industrial market , with the Linea Pro professional products ; the DIY market is served by the Linea Blu product range .

Are these two sentences paraphrases of each other?
yes

Belson as an audio director programmed live kinetic visuals and Jacobs programmed electronic music and visual experiments .
Belson as Visual Director programmed live kinetic visuals and Jacobs programmed electronic music and audio experiments .

Are these two sentences paraphrases of each other?
no