Taxonomy vs Bijection - What's the difference?
taxonomy | bijection |
The science or the technique used to make a classification.
A classification; especially , a classification in a hierarchical system.
(taxonomy, uncountable) The science of finding, describing, classifying and naming organisms.
(set theory) A one-to-one correspondence, a function which is both a surjection and an injection.
* 2002 , Yves Nievergelt, Foundations of Logic and Mathematics ,
* 2007 , C. J. Date, Logic and Databases: The Roots of Relational Theory ,
* 2013 , William F. Basener, Topology and Its Applications ,
As nouns the difference between taxonomy and bijection
is that taxonomy is the science or the technique used to make a classification while bijection is (set theory) a one-to-one correspondence, a function which is both a surjection and an injection.taxonomy
English
(wikipedia taxonomy)Noun
(taxonomies)Synonyms
* alpha taxonomyDerived terms
* folk taxonomy * scientific taxonomySee also
* classification * rank * taxon * domain * kingdom * subkingdom * superphylum * phylum * subphylum * class * subclass * infraclass * superorder * order * suborder * infraorder * parvorder * superfamily * family * subfamily * genus * species * subspecies * superregnum * regnum * subregnum * superphylum * phylum * subphylum * classis * subclassis * infraclassis * superordo * ordo * subordo * infraordo * taxon * superfamilia * familia * subfamilia * ontologybijection
English
(wikipedia bijection)Noun
(en noun)page 214,
- The present text has defined a set to be finite if and only if there exists a bijection' onto a natural number, and infinite if and only if there does not exist any such ' bijection .
page 167,
- Note in particular that a function is a bijection if and only if it's both an injection and a surjection.
unnumbered page,
- The basic idea is that two sets A and B have the same cardinality' if there is a '''bijection''' from A to B. Since the domain and range of the '''bijection''' is not relevant here, we often refer to a '''bijection''' from A to B as a '''bijection between the sets''', or a ' one-to-one correspondence between the elements of the sets.