Permutation vs Substitution - What's the difference?
permutation | substitution |
(mathematics) A one-to-one mapping from a finite set to itself.
(mathematics, combinatorics) An ordering of a finite set of distinct elements.
(music) A transformation of a set's prime form, by applying one or more of certain operations, specifically, transposition, inversion, and retrograde.
the act of substituting or the state of being substituted
a substitute or replacement
(chemistry) (especially in organic chemistry) the replacement of an atom, or group of atoms, in a compound, with another
As nouns the difference between permutation and substitution
is that permutation is a one-to-one mapping from a finite set to itself while substitution is the act of substituting or the state of being substituted.permutation
English
Noun
(wikipedia permutation) (en noun)- This permutation takes each element to the one following it, with the last mapped back to the first.
- There are six permutations of three elements, e.g. {abc, acb, bac, bca, cab, cba}.
