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How to introduce yourself to a girl
Gauge the situation.
Is she alone, or in a group? Is she relaxed, or is she deeply absorbed in her work? Try to approach her at a point when she'll be open to meeting someone new. You want to make a good first impression.
If she's alone, consider what she's doing. If she's in the library, with her headphones in, obviously working, then you shouldn't bother her.