Built on powerful and elegant long-standing principles, the core Mathematica language has been gradually enhanced under tight control over its twenty-year history. Version ...

Although Diophantine equations provide classic examples of undecidability, Mathematica in practice succeeds in solving a remarkably wide range of such equations—automatically ...

On[symbol::tag] switches on a message, so that it can be printed. On["name"] switches on a named group of messages.On[s] switches on tracing for the symbol s. On[m_1, m_2, ...

MapAt[f, expr, n] applies f to the element at position n in expr. If n is negative, the position is counted from the end. MapAt[f, expr, {i, j, ...}] applies f to the part of ...

Clear[symbol_1, symbol_2, ...] clears values and definitions for the symbol_i. Clear["form_1", "form_2", ...] clears values and definitions for all symbols whose names match ...

Converting between numbers and lists or strings of digits. Here is the list of base 16 digits for an integer. This gives a list of digits, together with the number of digits ...

VectorQ[expr] gives True if expr is a list or a one-dimensional SparseArray object, none of whose elements are themselves lists, and gives False otherwise. VectorQ[expr, ...

You will find the Documentation Center, Function Navigator, and Virtual Book essential in learning Mathematica's vast programming language and functionality.

The history of an interactive Mathematica computation is both maintained in a fully editable Mathematica notebook, and is stored symbolically in a sequence of In and Out ...

Typical ways to enter characters. All printable ASCII characters can be entered directly. Those that are not alphanumeric are assigned explicit names in Mathematica, allowing ...