That's correct. Please close the window.
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CliveThat's correct.Please close the window.Thank you Clive then "Would you mind closing the window?" = Please close the window.
Clivemind > object toWould you mind closing the window? is a more indirect and thus a more polite request than Please close the window.Ok, thank you Clive. Then in fact the first person is doing his request in a question form to make it more polite. Right?