Mathematica's symbolic character allows it to provide deep integrated support for algebraic numbers. At the core are Root objects, which provide exact implicit ...

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

Mathematica automatically uses sophisticated algorithms to track the precision of approximate numbers. Particularly for some verification applications, however, it is ...

ZetaZero[k] represents the k\[Null]^th zero of the Riemann zeta function on the critical line.ZetaZero[k, t] represents the k\[Null]^th zero with imaginary part greater than ...

Solve[expr, vars] attempts to solve the system expr of equations or inequalities for the variables vars. Solve[expr, vars, dom] solves over the domain dom. Common choices of ...

Mathematica provides a full suite of tools needed for the classical analysis and design of control systems, leveraging Mathematica's hybrid symbolic-numeric arithmetic ...

Mathematica's strengths in algebraic computation and graphics as well as numerics combine to bring unprecedented flexibility and power to geometric computation. Making ...

Mathematica immediately allows you to do arithmetic not only with individual numbers, but also with arbitrary lists or arrays—as well as symbolic and algebraic forms. ...

Resultant[poly_1, poly_2, var] computes the resultant of the polynomials poly_1 and poly_2 with respect to the variable var. Resultant[poly_1, poly_2, var, Modulus -> p] ...

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