Everything about Hierarchy Mathematics totally explained
In
mathematics, a hierarchy is a
preorder, for example an ordered set. The term is used to stress a natural
hierarchical relation among the elements. In particular, it's the preferred terminology for
posets whose elements are
classes of objects of increasing
complexity. In that case, the preorder defining the hierarchy is the class-containment relation.
Containment hierarchies are thus special cases of hierarchies.
Related terminology
Individual elements of a hierarchy are often called
levels and a hierarchy is said to be infinite if it has infinitely many distinct levels but said to
collapse if it has only finitely many distinct levels.
Example
In
theoretical computer science, the
time hierarchy is a classification of
decision problems according to the amount of time required to solve them.
Further Information
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