RationalFunctionSign R

sign.spad line 88 [edit on github]

• R: GcdDomain

Find the sign of a rational function around a point or infinity.

sign: (Fraction Polynomial R, Symbol, Fraction Polynomial R, String) -> Union(Integer, failed)

sign(f, x, a, s) returns the sign of f as x nears a from the left (below) if s is the string "left", or from the right (above) if s is the string "right".

sign: (Fraction Polynomial R, Symbol, OrderedCompletion Fraction Polynomial R) -> Union(Integer, failed)

sign(f, x, a) returns the sign of f as x approaches a, from both sides if a is finite.

sign: Fraction Polynomial R -> Union(Integer, failed)

sign f returns the sign of f if it is constant everywhere.