different between preimage vs taxonomy

English

Etymology

pre- +? image.

Pronunciation

• Rhymes: -?m?d?

Noun

preimage (plural preimages)

1. (mathematics) For a given function, the set of all elements of the domain that are mapped into a given subset of the codomain; (formally) given a function ƒ : X ? Y and a subset B ? Y, the set ƒ^?1(B) = {x ? X : ƒ(x) ? B}.
   • 1967 [Academic Press], Francois Treves, Topological Vector Spaces, Distributions and Kernels, 2006, Dover, page 22,

     The preimage of a neighborhood U of 0 in E must be a neighborhood of (0,x), since (0,x) is mapped into 0.

   • 2003, Sergei K. Lando, Alexander K. Zvonkin, Graphs on Surfaces and Their Applications, Springer, page 56,

     Previously, maps and hypermaps were constructed as the preimages of a segment joining two of the three critical values.

   • 2005, Oded Goldreich, Foundations of Cryptography: A Primer, now Publishers, page 24,

     Loosely speaking, saying that a function f is one-way implies that given y (in the range of f) it is infeasible to find a preimage of y under f.

Synonyms

• (set of all elements that map into a given subset of the codomain of a function): inverse image

Hyponyms

• (set of all elements that map into a given subset of the codomain of a function): kernel

Derived terms

• preimage attack

Related terms

• image

Translations

Further reading

• Image (mathematics) on Wikipedia.Wikipedia
• Kernel (linear algebra) on Wikipedia.Wikipedia

English

Etymology

Borrowed from French taxonomie. Surface analysis taxo- +? -nomy.

Pronunciation

• (UK) IPA^(key): /tæk?s?n?mi/
• (US) IPA^(key): /tæk?s??n?mi/
• Rhymes: -?n?mi

Noun

taxonomy (countable and uncountable, plural taxonomies)

1. The science or the technique used to make a classification.
2. A classification; especially, a classification in a hierarchical system.
3. (taxonomy, uncountable) The science of finding, describing, classifying and naming organisms.

Synonyms

• taxonomics
• (science of finding, describing, classifying and naming organisms): alpha taxonomy

Coordinate terms

• nomenclature
• ontology

Derived terms

Translations