This yields the diagonal factor decomposition , and the normal entries of Smith invariant form are the invariant factors .
This results in invariant factor decomposition and the diagonal entries of the Smith - normal form are the invariant factors .

Are these two sentences paraphrases of each other?
no

Wall Township is located in the 30th Congressional District and is part of New Jersey 's 4th state legislative district .
Wall Township is located in the 30th Congressional District and is part of the 4th State Legislative District of New Jersey .

Are these two sentences paraphrases of each other?
yes

Sigmatel was sold to Freescale Semiconductor later .
Freescale 's semiconductor was later sold to Sigmatel .

Are these two sentences paraphrases of each other?
no

Narayangad is a fort near Narayangaon , 80 km from Pune , 8 km from Pune and 5 km from the village of Khodad .
Narayangad is a hill fort near Pune , located 80 km from Pune , 8 km from Narayangaon and 5 km from Khodad village .

Are these two sentences paraphrases of each other?
no