1.8.12 Advanced Topic: Rearranging Nested ListsYou will encounter nested lists if you use matrices or generate multidimensional arrays and tables. Mathematica provides many functions for handling such lists.
| Flatten[list] | flatten out all levels in list | | Flatten[list, n] | flatten out the top n levels in list | Partition[list, { ,  , ... }] | partition into blocks of size  | | Transpose[list] | interchange the top two levels of lists | RotateLeft[list, { ,  , ... }] | rotate successive levels by  places | PadLeft[list, { ,  , ... }] | pad successive levels to be length  |
A few functions for rearranging nested lists. | This "flattens out" sublists. You can think of it as effectively just removing all inner braces. | |
In[1]:=
Flatten[{{a}, {b, {c}}, {d}}]
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Out[1]=
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| This flattens out only one level of sublists. | |
In[2]:=
Flatten[{{a}, {b, {c}}, {d}}, 1]
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Out[2]=
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There are many other operations you can perform on nested lists. We will discuss more of them in Section 2.4.
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