$SystemCharacterEncoding (Built-in Mathematica Symbol)

$SystemCharacterEncoding gives the default raw character encoding for the computer system on which Mathematica is being run.

$System (Built-in Mathematica Symbol)

$System is a string describing the type of computer system on which Mathematica is being run.

Overview of Ordinary Differential ... (Mathematica Tutorial)

There are four major areas in the study of ordinary differential equations that are of interest in pure and applied science. Of these four areas, the study of exact solutions ...

The Representation of Derivatives (Mathematica Tutorial)

Derivatives in Mathematica work essentially the same as in standard mathematics. The usual mathematical notation, however, often hides many details. To understand how ...

Reducing Expressions to Their Standard ... (Mathematica Tutorial)

The built-in functions in Mathematica operate in a wide variety of ways. But many of the mathematical functions share an important approach: they are set up so as to reduce ...

Setting Up Functions with Optional ... (Mathematica Tutorial)

When you define a complicated function, you will often want to let some of the arguments of the function be "optional". If you do not give those arguments explicitly, you ...

ParameterRanges (Vector Analysis Package Symbol)

ParameterRanges[] gives the intervals over which each the of the parameters in the default coordinate system may range. ParameterRanges[coordsys] gives the ranges for each of ...

Exists (Built-in Mathematica Symbol)

Exists[x, expr] represents the statement that there exists a value of x for which expr is True. Exists[x, cond, expr] states that there exists an x satisfying the condition ...

Introduction to Differential-Algebraic ... (Mathematica Tutorial)

The systems of equations that govern certain phenomena (in electrical circuits, chemical kinetics, etc.) contain a combination of differential equations and algebraic ...

Naming Pieces of Patterns (Mathematica Tutorial)

Particularly when you use transformation rules, you often need to name pieces of patterns. An object like x_ stands for any expression, but gives the expression the name x. ...