With its convenient symbolic representation of algebraic numbers, Mathematica's state-of-the-art algebraic number theory capabilities provide a concrete implementation of one ...

 

IsolatingInterval[a] gives a rational isolating interval for the algebraic number a.IsolatingInterval[a, dx] gives an isolating interval of width at most dx.

CoefficientArrays[polys, vars] gives the arrays of coefficients of the variables vars in the polynomials polys.

If you have an equation like 2x==0, it is perfectly clear that the only possible solution is x->0. However, if you have an equation like ax==0, things are not so clear. If a ...

FactorSquareFree[poly] pulls out any multiple factors in a polynomial.

Mathematica handles formulas of all types, from polynomials with millions of terms to complex combinations of higher mathematical functions. It provides powerful general ...

SolveAlways[eqns, vars] gives the values of parameters that make the equations eqns valid for all values of the variables vars.

Quartics is an option for functions that involve solving algebraic equations that specifies whether explicit forms for solutions to quartic equations should be given.

Eliminate[eqns, vars] eliminates variables between a set of simultaneous equations.