Work with Lists in Mathematica

The Table function allows you to create lists of data into recognizable patterns effortlessly. Once the data is captured into a list, Mathematica's other functions allow for easy data manipulation.

An Easy Example

In the following example, you create a list of sin(x) evaluated from 0 to 6 pi in intervals of pi/2.

You can also create two-dimensional lists, allowing you to keep records of ordered pairs.

Formatting Your Lists

To view this list as a table, use the TableForm command. In this example, % refers to the most recently evaluated results.

0	1
1	e
2
3
4
5

Extracting Results

There are many ways of extracting information or specifying parts of the lists you have created. Examples using the Extract and Part commands can be seen below.

You can specify the Part function one of two ways, both of which are illustrated in the following example.