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 ...

Algebraic Numbers (Mathematica Tutorial)

The representation of algebraic numbers. When you enter a Root object, the polynomial that appears in it is automatically reduced to a minimal form. This extracts the pure ...

Wronskian (Built-in Mathematica Symbol)

Wronskian[{y_1, y_2, ...}, x] gives the Wronskian determinant for the functions y_1, y_2, ... depending on x.Wronskian[eqn, y, x] gives the Wronskian determinant for the ...

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.

Or (Built-in Mathematica Symbol)

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

Quasi-Newton Methods (Mathematica Tutorial)

There are many variants of quasi-Newton methods. In all of them, the idea is to base the matrix B_k in the quadratic model on an approximation of the Hessian matrix built up ...

Change the Form of Input and Output (Mathematica How To)

The user interface for Mathematica provides many options for formatting input and output.

Make Mathematica Speak (Mathematica How To)

Starting in Version 7, Mathematica includes expression-to-speech functionality. In principle, any Mathematica expression can be translated in this way.

ExpToTrig (Built-in Mathematica Symbol)

ExpToTrig[expr] converts exponentials in expr to trigonometric functions.

Numerical Mathematics in Mathematica (Mathematica Tutorial)

One of the important features of Mathematica is its ability to give you exact, symbolic, results for computations. There are, however, computations where it is just ...