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Mathematica > Core Language > List Manipulation > Rearranging & Restructuring Lists >

Built-in Mathematica Symbol

Complement

Complement[e_all, e₁, e₂, ...]
gives the elements in e_all which are not in any of the e_i.

Complement[e_all, e₁, ..., SameTest->test] applies test to each pair of elements in eall and the e_i to determine whether they should be considered the same.

Find which elements in the first list are not in any of the subsequent lists:

Complement works with any head, not just List:

Find divisors of 20 that are not also divisors of 12:

Find which triples of digits do not occur in the binary decomposition of 12345:

Find which options to Plot are not also options to Graphics:

Find which length-5 sequences never occur after 2 steps in any elementary cellular automaton: