How to | Create Lists
Lists are very important and general structures in Mathematica. They allow you to treat collections of all kinds of objects as a single entity. There are many ways to construct them.
Use the shorthand notation 
to make a list:
| Out[1]= |  |
Or use List, which automatically is changed to 
:
| Out[2]= |  |
Use Range with one argument to create a list of integers starting at 1:
| Out[3]= |  |
Or use Range with two arguments to create a list of integers starting higher:
| Out[4]= |  |
With three arguments the offset can be different than 1:
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This squares each element of the list:
| Out[6]= |  |
Or use Table to create the first 10 squares:
| Out[7]= |  |
Just like Range, Table can start higher or jump by any amount:
| Out[8]= |  |
Use NestList to create a list of the results of applying 
to 
for 0 through 3 times:
| Out[9]= |  |
Use Array to create a list of length 4, with elements 
:
| Out[10]= |  |
This gives a 3×2 array:
| Out[11]= |  |
Use List to create lists of strings:
| Out[12]= |  |
A matrix in Mathematica is a list of lists.
Use RandomInteger to create a 4×4 matrix of random integers between 0 and 10 (stored as 
):
| Out[13]= |  |
Use MatrixForm to see 
as a 2D matrix:
Out[14]//MatrixForm= |
| |  |
You can apply functions to a list.
You can directly apply math functions to a list:
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Math functions keep going deeper:
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Some functions give a number as a result:
| Out[17]= |  |
Length gives the length of a list:
| Out[18]= |  |
Use Map to apply a function to the elements of a list (not needed for math functions):
| Out[19]= |  |
This uses Map to apply Length to each sublist:
| Out[20]= |  |
Similarly, this finds the maximum of each sublist:
| Out[21]= |  |
