Nice to see the ability to export a LyX file as a cropped PDF in version 2.1.0.x. However, the document is actually exported as a file, whereas it would more useful if it were instead or also placed on the clipboard for pasting into another document--that would fully allow LyX to be used as a standalone equation editor for other applications.
I use OS X and I notice that LyX is now AppleScriptable. Maybe there's a solution using AppleScript. Jerry
