NumberFieldSignature (Built-in Mathematica Symbol)

NumberFieldSignature[a] gives the signature of the field \[DoubleStruckCapitalQ][a] generated by the algebraic number a.

CharacteristicPolynomial (Built-in Mathematica Symbol)

CharacteristicPolynomial[m, x] gives the characteristic polynomial for the matrix m. CharacteristicPolynomial[{m, a}, x] gives the generalized characteristic polynomial with ...

DifferenceRootReduce (Built-in Mathematica Symbol)

DifferenceRootReduce[expr, n] attempts to reduce expr to a single DifferenceRoot object as a function of n.

The Limits of Mathematica (Mathematica Tutorial)

In just one Mathematica command, you can easily specify a calculation that is far too complicated for any computer to do. For example, you could ask for ...

Simplifying with Assumptions (Mathematica Tutorial)

Simplifying with assumptions. Mathematica does not automatically simplify this, since it is only true for some values of x. Sqrt[x^2] is equal to x for x≥0, but not otherwise.

Nand (Built-in Mathematica Symbol)

Nand[e_1, e_2, ...] is the logical NAND function. It evaluates its arguments in order, giving True immediately if any of them are False, and False if they are all True.

Functions That Do Not Have Unique Values (Mathematica Tutorial)

When you ask for the square root s of a number a, you are effectively asking for the solution to the equation s^2a. This equation, however, in general has two different ...

Normal (Built-in Mathematica Symbol)

Normal[expr] converts expr to a normal expression, from a variety of special forms.

And (Built-in Mathematica Symbol)

e_1 && e_2 && ... is the logical AND function. It evaluates its arguments in order, giving False immediately if any of them are False, and True if they are all True.

Mathematical Functions (Mathematica Guide)

Mathematica has the most extensive collection of mathematical functions ever assembled. Often relying on original results and algorithms developed at Wolfram Research over ...