MATHEMATICA HOW TO

# 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:

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Or use List, which automatically is changed to :

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Use Range with one argument to create a list of integers starting at 1:

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Or use Range with two arguments to create a list of integers starting higher:

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With three arguments the offset can be different than 1:

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This squares each element of the list:

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Or use Table to create the first 10 squares:

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Just like Range, Table can start higher or jump by any amount:

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Use NestList to create a list of the results of applying to for 0 through 3 times:

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Use Array to create a list of length 4, with elements :

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This gives a 3×2 array:

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Use List to create lists of strings:

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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 ):

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Use MatrixForm to see as a 2D matrix:

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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:

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Length gives the length of a list:

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Use Map to apply a function to the elements of a list (not needed for math functions):

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This uses Map to apply Length to each sublist:

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Similarly, this finds the maximum of each sublist:

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