AlgebraicFunction(R, F)

algfunc.spad line 257 [edit on github]

• R: Join(Comparable, IntegralDomain)

• F: FunctionSpace R

This package provides algebraic functions over an integral domain.

^: (F, Fraction Integer) -> F if R has RetractableTo Integer

x ^ q is x raised to the rational power q.

belong?: BasicOperator -> Boolean

belong?(op) is true if op is an algebraic operator, that is, an nth root or implicit algebraic operator.

definingPolynomial: F -> F if R has RetractableTo Integer

definingPolynomial(f) returns the defining polynomial of f as an element of F. Error: if f is not a kernel.

droot: List F -> OutputForm

droot(l) should be a non-exported function.

inrootof: (SparseUnivariatePolynomial F, F) -> F

inrootof(p, x) should be a non-exported function.

iroot: (R, Integer) -> F if R has RetractableTo Integer

iroot(p, n) should be a non-exported function.

minPoly: Kernel F -> SparseUnivariatePolynomial F if R has RetractableTo Integer

minPoly(k) returns the defining polynomial of k.

operator: BasicOperator -> BasicOperator

operator(op) returns a copy of op with the domain-dependent properties appropriate for F. Error: if op is not an algebraic operator, that is, an nth root or implicit algebraic operator.

rootOf: (SparseUnivariatePolynomial F, Symbol) -> F

rootOf(p, y) returns y such that p(y) = 0. The object returned displays as 'y.

rootSum: (F, SparseUnivariatePolynomial F, Symbol) -> F

rootSum(expr, p, s)