ToRadicals[expr] attempts to express all Root objects in expr in terms of radicals.

f /: lhs = rhs assigns rhs to be the value of lhs, and associates the assignment with the symbol f.

In two decades of intense algorithmic development, Mathematica has established a new level of numerical computation. Particularly notable are its many original highly ...

ToNumberField[a, \[Theta]] expresses the algebraic number a in the number field generated by \[Theta]. ToNumberField[{a_1, a_2, ...}, \[Theta]] expresses the a_i in the field ...

SetSystemOptions["name" -> value] resets the value for the internal system option with the specified name.

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

Complex Polynomial Systems Real Polynomial Systems Diophantine Polynomial Systems

RootApproximant[x] converts the number x to one of the "simplest" algebraic numbers that approximates it well.RootApproximant[x, n] finds an algebraic number of degree at ...

The first argument given to DSolve is the differential equation, the second argument is the unknown function, and the last argument identifies the independent variable. Here ...

Complement[e_all, e_1, e_2, ...] gives the elements in e_all which are not in any of the e_i.