'FIle > Close' closes the current document window (you can open multiple documents from within the same inkscape instance). If you have only a single document window open, the command closes the window and quits Inkscape (since Inkscape is document-oriented, the application does not stay open without any open document window).
'File > Quit' closes all open document windows and quits Inkscape
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> where is the difference between (…)
'FIle > Close' closes the current document window (you can open multiple documents from within the same inkscape instance). If you have only a single document window open, the command closes the window and quits Inkscape (since Inkscape is document-oriented, the application does not stay open without any open document window).
'File > Quit' closes all open document windows and quits Inkscape
(see also bug #170550, comment #1).
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