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How do I find out what fonts are used in a document/picture?

I like the font in "What is ...?" of Notices of the AMS. For instance see this document http://www.ams.org/notices/201005/rtx100500608p.pdf. Does somebody know the name of this font? Is it free?

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c.p.
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    If you look at the properties of the PDF (e.g. File->Properties->Fonts), the names of the fonts are there. LucidaBright/Italic/Demi/Smallcaps-Demi LucidaNewMath/Italic/Symbol/Extension. – alfC Oct 09 '12 at 22:46

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The font is Lucida Bright. It is not free.

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