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Recently I updated my TeX Live distribution via the TeX Live Utility. I notice it installed three Packages: l3experiemtal, l3kernel, l3packages and lt3graph.

I was wondering if can compile my document with this l3 packages? or are these packages just for information porpouses? enter image description here

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    You can use them with LaTeX-2e but you could not, I don't think, compile your document using nothing but those packages. At least, as far as I know. See the documentation ltx3info.pdf for some information about them.
    – cfr
    Commented Sep 20, 2014 at 1:47
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    No, but many packages make use of them 'under the hood' (or not); e.g., siunitx, xparse, l3keys, etc. They are designed so that you can use "LaTeX3" things in LaTeX2e.
    – jon
    Commented Sep 20, 2014 at 2:37
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    Note that lt3graph is not a LaTeX3 Team package: the convention is that we ask that l3... is left for team use.
    – Joseph Wright
    Commented Sep 20, 2014 at 8:42

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These are just packages that provide a new - currently experimental - way of coding, almost like an interface. You still compile your documents with LaTeX.

You can definitely learn how to use this new coding/interface by studying the documentation.

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