QUESTION: Fix punctuation: developed a general residue theory on complex manifolds and applied it to the investigation of concrete integrals depending on parameters arising from solving the Cauchy problem
ANS: ... developed a general residue theory on complex manifolds and applied it to the investigation of concrete integrals depending on parameters arising from solving the Cauchy problem.
QUES: Heres a look at the moving parts in the buying decision

correct the punctuation.

CORRECTED: Here's a look at the moving parts in the buying decision:
Question: These are general hotel policies for Hotel San Paolo As they may vary per room type please also check the room conditions
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Answer: These are general hotel policies for Hotel San Paolo. As they may vary per room type; please also check the room conditions.
Home ENGLISH Logitech announces new cases for Samsungs Galaxy Note Pro and Galaxy Tab

Can you repeat this sentence, but add in punctuation?
Home ENGLISH Logitech announces new cases for Samsung's Galaxy Note Pro and Galaxy Tab...
input: Knowledge alone doesnt give any fellowship or brotherhood
fixed: "Knowledge alone doesn't give any fellowship or brotherhood.
Relief engraving in Acrylic Laser cutter and laser engraver

Can you repeat this sentence, but add in punctuation?
Relief engraving in Acrylic - Laser cutter and laser engraver