$Echo (Built-in Mathematica Symbol)

$Echo gives a list of files and pipes to which all input is echoed.

$UserName (Built-in Mathematica Symbol)

$UserName gives the login name of the user who invoked the Mathematica kernel, as recorded by the operating system.

$VersionNumber (Built-in Mathematica Symbol)

$VersionNumber is a real number which gives the current Mathematica kernel version number, and increases in successive versions.

Algebraic Operations on Polynomials (Mathematica Tutorial)

For many kinds of practical calculations, the only operations you will need to perform on polynomials are essentially structural ones. If you do more advanced algebra with ...

Complex Polynomial Systems (Mathematica Tutorial)

The Mathematica functions Reduce, Resolve, and FindInstance allow you to solve a wide variety of problems that can be expressed in terms of equations and inequalities. The ...

Controlling the Precision of Results (Mathematica Tutorial)

In doing numerical operations like NDSolve and NMinimize, Mathematica by default uses machine numbers. But by setting the option WorkingPrecision->n you can tell it to use ...

Counting and Isolating Polynomial Roots (Mathematica Tutorial)

Counting roots of polynomials. CountRoots accepts polynomials with Gaussian rational coefficients. The root count includes multiplicities. This gives the number of real roots ...

Defining Output Formats (Mathematica Tutorial)

Just as Mathematica allows you to define how expressions should be evaluated, so also it allows you to define how expressions should be formatted for output. The basic idea ...

Finding the Structure of a Polynomial (Mathematica Tutorial)

Finding the structure of polynomials written in expanded form. Here is a polynomial in two variables. This is the polynomial in expanded form.

Formats for Text in Graphics (Mathematica Tutorial)

Specifying formats for text in graphics. Here is a plot with default settings for all formats. Here is the same plot, but now using a 12-point bold font.