Sequence (Built-in Mathematica Symbol)

Sequence[expr_1, expr_2, ...] represents a sequence of arguments to be spliced automatically into any function.

Splice (Built-in Mathematica Symbol)

Splice["file"] splices Mathematica output into an external file. It takes text enclosed between < * and * > in the file, evaluates the text as Mathematica input, and replaces ...

StringSkeleton (Built-in Mathematica Symbol)

StringSkeleton[n] represents a sequence of n omitted characters in a string printed with Short. The standard print form for StringSkeleton is an ellipsis.

Unique (Built-in Mathematica Symbol)

Unique[] generates a new symbol, whose name is of the form $nnn. Unique[x] generates a new symbol, with a name of the form x$nnn. Unique[{x, y, ...}] generates a list of new ...

$Canceled (Built-in Mathematica Symbol)

$Canceled is a symbol returned when notebook input is canceled, for example from a dialog box.

Defining Derivatives (Mathematica Tutorial)

You can define the derivative in Mathematica of a function f of one argument simply by an assignment like f'[x_]=fp[x]. This defines the derivative of f(x) to be fp(x). In ...

Exact Equations (Mathematica Tutorial)

Here is an example of an exact ODE. This verifies the solution. Here is a contour plot of the solution.

Higher-Order Euler and Legendre ... (Mathematica Tutorial)

An Euler equation is an ODE of the form The following is an example of an Euler equation. The Legendre linear equation is a generalization of the Euler equation. It has the ...

Exact Higher-Order Equations (Mathematica Tutorial)

A linear ordinary differential equation of order n is said to be exact if The condition of exactness can be used to reduce the problem to that of solving an equation of order ...

Homogeneous Equations (Mathematica Tutorial)

Here is a homogeneous equation in which the total degree of both the numerator and the denominator of the right-hand side is 2. The two parts of the solution list give ...