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Mathematica > Core Language > Expressions > Expression Structure >

Built-in Mathematica Symbol

Depth

Depth[expr]
gives the maximum number of indices needed to specify any part of expr, plus one.

Depth works on any expression, not just lists:

Depth does not distinguish heads:

All numbers have depth 1:

Depth works with SparseArray objects:

Find how deeply nested results from integrals are:

Find the depths of combinator expressions [more info]:

Depth gives the length of the maximum index, plus 1:

Successive elements from NestList have larger depths:

Depth does not count depth in the head: