In Other Branches
One may similarly define free products of other algebraic structures than groups, including algebras over a field. Free products of algebras of random variables play the same role in defining "freeness" in the theory of free probability that Cartesian products play in defining statistical independence in classical probability theory.
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“A good word is as a good tree
its roots are firm,
and its branches are in heaven;
it gives its produce every season
by the leave of its Lord.”
—QurAn. Abraham 14:29-30, ed. Arthur J. Arberry (1955)
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