Functions like Read and Find are most often used for processing text and data from external files. In some cases, however, you may find it convenient to use these same ...

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 ...

There are many situations where you want to write a particular algebraic expression in the simplest possible form. Although it is difficult to know exactly what one means in ...

When you give a list of equations to Solve, it assumes that you want all the equations to be satisfied simultaneously. It is also possible to give Solve more complicated ...

Mathematica includes a very large collection of mathematical functions. "Mathematical Functions" gives the complete list. Here are a few of the common ones. Some common ...

As discussed in "The Structure of Graphics and Sound", Mathematica includes a full graphics programming language. In this language, you can set up many different kinds of ...

Particularly when you write procedural programs in Mathematica, you will often need to modify the value of a particular variable repeatedly. You can always do this by ...

Mathematica allows you to use special notation for many common operators. For example, although internally Mathematica represents a sum of two terms as Plus[x,y], you can ...

Spheroidal functions. The radial spheroidal functions SpheroidalS1[n,m, γ,z] and SpheroidalS2[n,m,γ,z] and angular spheroidal functions SpheroidalPS[n,m,γ,z] and ...

Invisible characters. In the input there is an invisible comma between the 1 and 2. Here there is an invisible space between the x and y, interpreted as multiplication.