different between domain vs surjection
domain
English
Etymology
From Middle English demayne, demain (“rule”), from Old French demeine, demaine, demeigne, domaine (“power”), (French domaine), from Latin dominium (“property, right of ownership”), from dominus (“master, proprietor, owner”). See dame, and compare demain, danger, dungeon. Doublet of demesne.
Pronunciation
- (Received Pronunciation) IPA(key): /d??me?n/, /d???me?n/
- (General American) IPA(key): /do??me?n/, /d??me?n/
- Rhymes: -e?n
Noun
domain (plural domains)
- A geographic area owned or controlled by a single person or organization.
- The king ruled his domain harshly.
- A field or sphere of activity, influence or expertise.
- Dealing with complaints isn't really my domain: get in touch with customer services.
- His domain is English history.
- A group of related items, topics, or subjects.
- (mathematics) The set of all possible mathematical entities (points) where a given function is defined.
- (mathematics, set theory) The set of input (argument) values for which a function is defined.
- (mathematics) A ring with no zero divisors; that is, in which no product of nonzero elements is zero.
- Hyponym: integral domain
- (mathematics, topology, mathematical analysis) An open and connected set in some topology. For example, the interval (0,1) as a subset of the real numbers.
- (computing, Internet) Any DNS domain name, particularly one which has been delegated and has become representative of the delegated domain name and its subdomains.
- 2000, BIND 9 Administrator Reference Manual (9.3.2), Internet Software Consortium [3]
- Every name in the DNS tree is a domain, even if it is terminal, that is, has no subdomains.
- 2000, BIND 9 Administrator Reference Manual (9.3.2), Internet Software Consortium [3]
- (computing, Internet) A collection of DNS or DNS-like domain names consisting of a delegated domain name and all its subdomains.
- (computing) A collection of information having to do with a domain, the computers named in the domain, and the network on which the computers named in the domain reside.
- (computing) The collection of computers identified by a domain's domain names.
- (physics) A small region of a magnetic material with a consistent magnetization direction.
- (computing) Such a region used as a data storage element in a bubble memory.
- (data processing) A form of technical metadata that represent the type of a data item, its characteristics, name, and usage.
- A characteristic of a field. A data domain specifies a data type and applies the minimum and maximum values allowed and other constraints.
- (taxonomy) The highest rank in the classification of organisms, above kingdom; in the three-domain system, one of the taxa Bacteria, Archaea, or Eukaryota.
- (biochemistry) A folded section of a protein molecule that has a discrete function; the equivalent section of a chromosome
Usage notes
- (collection of information): Used in a context in which domain name services, or kindred services, are managed in a fashion that is integrated with the management of other computer and network related information.
- (collection of computers): Used in the same context as the collection of information domain sense.
Synonyms
- (geographic area): demesne
- (where a function is defined): domain of definition
- (collection of DNS names): domain name, hostname
Antonyms
- (domain of definition of a function): range
- (domain of definition of a function): codomain
Hyponyms
Derived terms
Related terms
Translations
Further reading
- Domain (biology) on Wikipedia.Wikipedia
- domain in The Century Dictionary, New York, N.Y.: The Century Co., 1911.
- domain in Webster’s Revised Unabridged Dictionary, G. & C. Merriam, 1913.
Anagrams
- Amidon, Imonda, daimon, domina
Indonesian
Etymology
From English domain, from Middle English demayne, demain (“rule”), from Old French demeine, demaine, demeigne, domaine (“power”), (French domaine), from Latin dominium (“property, right of ownership”), from dominus (“master, proprietor, owner”). Doublet of dame.
Pronunciation
- IPA(key): [d?o?ma?n]
- Hyphenation: do?ma?in
Noun
domain (plural domain-domain, first-person possessive domainku, second-person possessive domainmu, third-person possessive domainnya)
- domain
- Synonyms: daerah, ranah, wilayah
Further reading
- “domain” in Kamus Besar Bahasa Indonesia (KBBI) Daring, Jakarta: Badan Pengembangan dan Pembinaan Bahasa, Kementerian Pendidikan dan Kebudayaan Republik Indonesia, 2016.
Spanish
Noun
domain m (plural domains)
- (Internet) domain
domain From the web:
- what domain are humans in
- what domain is fungi in
- what domain do humans belong to
- what domain are protists in
- what domains contain prokaryotes
- what domain is protista in
- what domain is eubacteria in
- what domain do protists belong to
surjection
English
Etymology
From French surjection, introduced by Nicolas Bourbaki in their treatise Éléments de mathématique.Ultimately borrowed from Latin superiecti? (“a throwing over or on; (fig.) an exaggeration, a hyperbole”).
Pronunciation
- IPA(key): /s??(?).d??k.??n/
Noun
surjection (plural surjections)
- (set theory) A function that is a many-to-one mapping; (formally) Any function for which for every , there is at least one such that .
- 1992, Rowan Garnier, John Taylor, Discrete Mathematics for New Technology, Institute of Physics Publishing, page 220,
- In some special cases, however, the number of surjections can be identified.
- 1999, M. Pavaman Murthy, A survey of obstruction theory for projective modules of top rank, Tsit-Yuen Lam, Andy R. Magid (editors), Algebra, K-theory, Groups, and Education: On the Occasion of Hyman Bass's 65th Birthday, American Mathematical Society, page 168,
- Let be the (irredundant) primary decomposition of . We associate to the pair the element , where is the equivalence class of surjections from to induced by .
- 2003, Gilles Pisier, Introduction to Operator Space Theory, Cambridge University Press, page 43,
- In Banach space theory, a mapping (between Banach spaces) is called a metric surjection if it is onto and if the associated mapping from to is an isometric isomorphism. Moreover, by the classical open mapping theorem, is a surjection iff the associated mapping from to is an isomorphism.
- 1992, Rowan Garnier, John Taylor, Discrete Mathematics for New Technology, Institute of Physics Publishing, page 220,
Synonyms
- (function that is a many-to-one mapping): surjective function
Related terms
- bijection
- injection
- surject
Translations
References
French
Etymology
Formed after bijection and injection.
Pronunciation
- IPA(key): /sy?.??k.sj??/
Noun
surjection f (plural surjections)
- (set theory) surjection
Derived terms
- surjectif
surjection From the web:
- what is surjection and injection
- surjective function
- what does surjective mean
- what is surjection bijection
- what does surjective
- what means surjection
- what is surjection in english
- define injection and surjection
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