Extrapolation methods are a class of arbitrary-order methods with automatic order and step-size control. The error estimate comes from computing a solution over an interval ...

lhs != rhs or lhs != rhs returns False if lhs and rhs are identical.

LabelingFunction is an option for charting functions that specifies a function to apply to determine labeling of chart elements.

TraceDialog[expr] initiates a dialog for every expression used in the evaluation of expr. TraceDialog[expr, form] initiates a dialog only for expressions which match form. ...

Typical stylesheets make Mathematica automatically organize notebook cells into convenient groups. You can override this behavior, or control it in any way, using menu items, ...

First-order PDEs are usually classified as linear, quasi-linear, or nonlinear. The first two types are discussed in this tutorial. A first-order PDE for an unknown function ...

ClusteringComponents[array] gives an array in which each element of array is replaced by an integer index representing the cluster in which the element ...

Flat is an attribute that can be assigned to a symbol f to indicate that all expressions involving nested functions f should be flattened out. This property is accounted for ...

You can tell a lot about what "type" of expression something is by looking at its head. Thus, for example, an integer has head Integer, while a list has head List. In a ...

PrivateNotebookOptions -> {opt_1 -> val_1, opt_2 -> val_2, ...} is an option for notebooks that specifies various low-level notebook settings.