$MessagePrePrint (Built-in Mathematica Symbol)

$MessagePrePrint is a global variable whose value, if set, is applied to expressions before they are included in the text of messages.

$ProcessorType (Built-in Mathematica Symbol)

$ProcessorType is a string giving the architecture of the processor on which Mathematica is being run.

$ReleaseNumber (Built-in Mathematica Symbol)

$ReleaseNumber is an integer which gives the current Mathematica kernel release number, and increases in successive releases.

Automatic Numbering (Mathematica Tutorial)

Two ways to set up automatic numbering in a Mathematica notebook. These cells are in DisplayFormulaNumbered style. DisplayFormulaNumbered style is available in the default ...

Constrained Optimization (Mathematica Overview)

Introduction Linear Optimization Numerical Nonlinear Local Optimization

Documentation Constructs (Mathematica Tutorial)

When you write programs in Mathematica, there are various ways to document your code. As always, by far the best thing is to write clear code, and to name the objects you ...

Introduction to Initial and Boundary ... (Mathematica Tutorial)

DSolve can be used for finding the general solution to a differential equation or system of differential equations. The general solution gives information about the structure ...

Inhomogeneous Linear Second-Order ... (Mathematica Tutorial)

If the given second-order ODE is inhomogeneous, DSolve applies the method of variation of parameters to return a solution for the problem. This solves an inhomogeneous linear ...

Riccati Equations (Mathematica Tutorial)

A Riccati equation is a first-order equation of the form This equation was used by Count Riccati of Venice (1676–1754) to help in solving second-order ordinary differential ...

Nonlinear Systems of ODEs (Mathematica Tutorial)

Following are two examples of nonlinear systems of ODEs that can be solved symbolically using DSolve. The first three equations in this system of four nonlinear ODEs can be ...