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Taxonomy vs Preimage - What's the difference?

taxonomy | preimage |

As nouns the difference between taxonomy and preimage

is that taxonomy is the science or the technique used to make a classification while preimage is the set containing exactly every member of the domain of a function such that the member is mapped by the function onto an element of a given subset of the codomain of the function. Formally, of a subset B of the codomain Y under a function ƒ, the subset of the domain X defined by.

taxonomy

Noun

(taxonomies)
  • 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.
  • Synonyms

    * alpha taxonomy

    Derived terms

    * folk taxonomy * scientific taxonomy

    See 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 * ontology

    preimage

    English

    (Function)

    Noun

    (en noun)
  • (mathematics) The set containing exactly every member of the domain of a function such that the member is mapped by the function onto an element of a given subset of the codomain of the function. Formally, of a subset B'' of the codomain ''Y'' under a function ƒ, the subset of the domain ''X defined by
  • f^{-1}(B) = \{x \in X : f(x) \in B\}.
    For example, the preimage of {4, 9} under the squaring function is the set {?3,?2,+2,+3}.

    Synonyms

    * inverse image