Under certain conditions therefore , equivalence classes of statistical ensembles have the structure of a convex set .
Equivalence classes of convex ensembles thus have the structure of a statistical set under certain conditions .

Are these two sentences paraphrases of each other?
no

Karoli started his school in Brasso and finished in Nagykaroly . In 1556 he went to the Wittenberg Academy . In 1566 he ordered the Synod of Gonc .
Karoli started his school in Nagykaroly , graduated in Brasso , went to the Wittenberg Academy in 1556 and ordered the Synod of Gonc in 1566 .

Are these two sentences paraphrases of each other?
no

AB InBev remains the largest brewery in second place with SABMiller and Heineken International is third .
AB InBev remains the largest brewery , second with Heineken International , and SABMiller in third place .

Are these two sentences paraphrases of each other?
no

Herbert Hepburn Calvert was born on December 30 , 1870 in London and was the first son of the journalist Thomas Calvert and his wife Grace ( near Hepburn ) .
Thomas Calvert was born on 30 December , 1870 in London . He was the first son of journalist Herbert Hepburn Calvert and his wife Grace ( nee Hepburn ) .

Are these two sentences paraphrases of each other?
no