Scaling is a homothetic transformation , and a special case of homothetic transformation . In most cases , the non-linear transformations are linear transformations .
Scaling is a homothetic transformation and constitutes a special case of homothetic transformation ; in most cases , non-linear transformations are linear transformations .

Are these two sentences paraphrases of each other?
yes

Born in 1949 , Lars Elinderson is a Swedish politician from the Moderate Party .
Born in 1949 , Lars Elinderson is a moderate politician of the Swedish party .

Are these two sentences paraphrases of each other?
no

After a brief conversation , Peter Bavasi made it clear to Hardy that Mattick would not be fired this way .
After a brief conversation , Hardy made it clear to Peter Bavasi that Mattick would not be fired in this way .

Are these two sentences paraphrases of each other?
no

Daley married Anne Marie ( 1918-1986 ) , parents of Blanche Daigle , Rosemary , Daniel and Timothy in 1945 .
In 1945 , Daley married Anne Marie ( 1918-1986 ) . They were the parents of Blanche Daigle , Rosemary , Daniel , and Timothy .

Are these two sentences paraphrases of each other?
yes