Here are some notes about how to create, change , and plot data stored by lists. Many examples come from the book An Elementary Introduction To The Wolfram Language.

### Make a plot of the first 10 squares, starting at 1.

``ListPlot[Range^2]`` ### Make a combined list of the first 5 squares and cubes (numbers raised to the power 3), sorted into order

`Sort[Join[Range^2, Range^3]]`
{1, 1, 4, 8, 9, 16, 25, 27, 64, 125}

### Find the number of digits in 2^128.

`IntegerDigits[2^128]`
{3, 4, 0, 2, 8, 2, 3, 6, 6, 9, 2, 0, 9, 3, 8, 4, 6, 3, 4, 6, 3, 3, 7, 4, 6, 0, 7, 4, 3, 1, 7, 6, 8, 2, 1, 1, 4, 5, 6}
`Length[IntegerDigits[2^128]]`
39

### Find the first 10 digits in 2^100

`Take[IntegerDigits[2^100], 10]`
{1, 2, 6, 7, 6, 5, 0, 6, 0, 0}

### Find how many zeros appear in the digits of 2^1000

`Count[ IntegerDigits[2^1000], 0]`
28

### Make a line plot of the sequence of digits that appear in 2^128

`IntegerDigits[2^128]`
{3, 4, 0, 2, 8, 2, 3, 6, 6, 9, 2, 0, 9, 3, 8, 4, 6, 3, 4, 6, 3, 3, 7, 4, 6, 0, 7, 4, 3, 1, 7, 6, 8, 2, 1, 1, 4, 5, 6}
`ListLinePlot[IntegerDigits[2^128]]` ### Use Take and Drop to get the sequence 11 through 20 from Range

`Drop[Take[Range, 20], 10]`
{11, 12, 13, 14, 15, 16, 17, 18, 19, 20}

### Make a list of the first 10 multiples of 3

`Range*3`
{3, 6, 9, 12, 15, 18, 21, 24, 27, 30}

### Make a pie chart of the sequence of digits that appear in 2^32.

`PieChart[IntegerDigits[2^32]]` ### Make a list of pie charts for the sequence of digits in 2^20, 2^40, 2^60

`List[PieChart[IntegerDigits[2^20]], PieChart[IntegerDigits[2^40]], PieChart[IntegerDigits[2^60]]]` Categories: Math

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