In this task, we ask you to elaborate the sentence without changing its general meaning. You can do so by explaining further the input sentence, using more precise wording, adding qualifiers and auxiliary information etc.

Q: It uses differential and integral calculus as well as linear algebra to study problems of geometry .

A: Differential geometry is a mathematical discipline that uses the techniques of differential calculus , integral calculus , linear algebra and multilinear algebra to study problems in geometry .
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Q: More importantly , the discovery of celestial bodies orbiting something other than the Earth dealt a blow to the then-accepted Ptolemaic world system .

A: More importantly , the discovery of celestial bodies orbiting something other than Earth dealt a blow to the then-accepted Ptolemaic world system , which held that Earth was at the center of the universe and all other celestial bodies revolved around it .
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Q: The French , the Dutch and the Portuguese all fought to have the Parai ́ ba region to grow sugarcane in .

A:
The area soon proved perfect for sugar production , with the French , the Dutch and the Portuguese all constantly fighting to control the Parai ́ ba region to grow the lucrative sugarcane in .
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