Further Examples: Sort

You can put a list of letters into canonical order.

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The expression to be sorted need not have head List.

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Both of these commands sort the list from largest to smallest.

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Here numbers with a smaller square come before those with a larger square.

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This sorts pairs lexicographically: {x, y} comes before {w, z} if x < w, or if x == w and y < z.

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Here is another example.

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Exact numbers are not sorted according to their magnitude by defaultthat would be too slow.

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Rather, expressions are usually ordered by comparing their parts in a depth­first manner. The first elements that occur at level determine the ordering here.

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This defines the function sortBy which sorts the list according to the values of f of the elements of list.

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Here are five dimensional vectors.

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Here are the vectors sorted by norm.

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Sort puts z10 before z2 because 1 comes before 2.

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Unlike Sort, the function noDigitsSort ignores digits in variable names.

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