$BaseDirectory (Built-in Mathematica Symbol)

$BaseDirectory gives the base directory in which systemwide files to be loaded by Mathematica are conventionally placed.

$BatchInput (Built-in Mathematica Symbol)

$BatchInput is True if input in the current session is being fed directly to the Mathematica kernel in batch mode.

$MessageGroups (Built-in Mathematica Symbol)

$MessageGroups is the list of rules that gives named message groups used in functions like On and Quiet.

$UserBaseDirectory (Built-in Mathematica Symbol)

$UserBaseDirectory gives the base directory in which user-specific files to be loaded by Mathematica are conventionally placed.

Bernoulli Equations (Mathematica Tutorial)

A Bernoulli equation is a first-order equation of the form The problem of solving equations of this type was posed by James Bernoulli in 1695. A year later, in 1696, G. ...

Linear Second-Order Equations with ... (Mathematica Tutorial)

The simplest type of linear second-order ODE is one with constant coefficients. This linear second-order ODE has constant coefficients. Notice that the general solution is a ...

Manipulating Expressions like Lists (Mathematica Tutorial)

You can use most of the list operations discussed in "Lists" on any kind of Mathematica expression. By using these operations, you can manipulate the structure of expressions ...

Mathematical Constants (Mathematica Tutorial)

Mathematical constants. Euler's constant EulerGamma is given by the limit γUnderscriptBox[lim, RowBox[{m, , ∞}], LimitsPositioning -> True](UnderoverscriptBox[∑, RowBox[{k, ...

MathLink Interface 3 (Mathematica Tutorial)

The library now fully supports the Unicode character encoding forms UTF-8, UTF-16, and UTF-32. Use the following new API functions to put or get Unicode characters to or from ...

Orthogonal Polynomials (Mathematica Tutorial)

Orthogonal polynomials. Legendre polynomials LegendreP[n,x] arise in studies of systems with three-dimensional spherical symmetry. They satisfy the differential equation ...