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{pgfmath} concerns the pgfmath library used for internal computations in TikZ-pgf but which is also available for other computations in (La)TeX.

The tag concerns the pgfmath library in TikZ-pgf. pgfmath enables computations in TikZ-pgf but can also be used independently. The library enables features which are much more powerful than the similar ones in the calc package. Another packages with similar features is fp.

See the TikZ-pgf manual section on the pgfmath library for details.