/usr/share/axiom-20170501/src/algebra/RADCAT.spad is in axiom-source 20170501-3.
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1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 | )abbrev category RADCAT RadicalCategory
++ Description:
RadicalCategory() : Category == SIG where
SIG ==> with
sqrt : % -> %
++ sqrt(x) returns the square root of x.
nthRoot : (%, Integer) -> %
++ nthRoot(x,n) returns the nth root of x.
_*_* : (%, Fraction Integer) -> %
++ x ** y is the rational exponentiation of x by the power y.
add
sqrt x == x ** inv(2::Fraction(Integer))
nthRoot(x, n) == x ** inv(n::Fraction(Integer))
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