Loops and Control Structures (Mathematica Tutorial)

The execution of a Mathematica program involves the evaluation of a sequence of Mathematica expressions. In simple programs, the expressions to be evaluated may be separated ...

Introduction to Advanced Numerical ... (Mathematica Tutorial)

The Mathematica function NDSolve is a general numerical differential equation solver. It can handle a wide range of ordinary differential equations (ODEs) as well as some ...

Permutations (Mathematica Tutorial)

Permutations are basic elements in algebra. They have a natural non-commutative product (as matrices do as well), and hence can encode highly nontrivial structures in a ...

Plotting Search Data (Mathematica Tutorial)

The utility functions FindMinimumPlot and FindRootPlot show search data for FindMinimum and FindRoot for one- and two-dimensional functions. They work with essentially the ...

Solve (Built-in Mathematica Symbol)

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 ...

Finite Fields Package (Finite Fields Package Tutorial)

A field is an algebraic structure obeying the rules of ordinary arithmetic. In particular, a field has binary operations of addition and multiplication, both of which are ...

Exporting XML (XML Package Tutorial)

You can export XML data from Mathematica using the standard Export function. Exporting files. The first argument of the function specifies the file to which the data should ...

ZTransform (Built-in Mathematica Symbol)

ZTransform[expr, n, z] gives the Z transform of expr. ZTransform[expr, {n_1, n_2, ...}, {z_1, z_2, ...}] gives the multidimensional Z transform of expr.

Specifying Derivatives (Mathematica Tutorial)

The function FindRoot has a Jacobian option; the functions FindMinimum, FindMaximum, and FindFit have a Gradient option; and the "Newton" method has a method option Hessian. ...

ContourPlot3D (Built-in Mathematica Symbol)

ContourPlot3D[f, {x, x_min, x_max}, {y, y_min, y_max}, {z, z_min, z_max}] produces a three-dimensional contour plot of f as a function of x, y, and z. ContourPlot3D[f == g, ...