the main problem in this area is to find a nonsingular algebraic variety u, that is birationally equivalent to an irreducible algebraic variety v, such that the mapping f: u v is regular but not biregular.

Please write the text above using proper case.

A: **The main problem in this area is to find a nonsingular algebraic variety U, that is birationally equivalent to an irreducible algebraic variety V, such that the mapping f: U V is regular but not biregular.**

this is yet another batch of applause to trickett for he was able to showcase fantastic result.

Please write the text above using proper case.

A: **This is yet another batch of applause to Trickett for he was able to showcase fantastic result.**

this may be because the stock has turned downwards from this level before, or that many think it is fundamentally expensive.

Please write the text above using proper case.

A: **This may be because the stock has turned downwards from this level before, or that many think it is fundamentally expensive.**

when he again brings in the firstborn into the world he says, 'let all the angels of god worship him.'

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A:
**When he again brings in the firstborn into the world he says, 'Let all the angels of God worship him.'**