dual
English
Alternative forms
- du. (abbreviation, grammar)
Pronunciation
Adjective
dual (not comparable)
- Exhibiting duality; characterized by having two (usually equivalent) components.
- Acting as a counterpart.
- Double.
- dual-headed computer
- (grammar) Pertaining to grammatical number (as in singular and plural), referring to two of something, such as a pair of shoes, in the context of the singular, plural and in some languages, trial grammatical number. Modern Arabic displays a dual number, as did Homeric Greek.
- (linear algebra) Being the space of all linear functionals of (some other space).
- 2012, Doug Fisher, Hans-J. Lenz, Learning from Data: Artificial Intelligence and Statistics V, Springer Science & Business Media →ISBN, page 81
- Accordingly, a hyperplane in the sample space is dual to a subspace in the variable space.
- 2012, Doug Fisher, Hans-J. Lenz, Learning from Data: Artificial Intelligence and Statistics V, Springer Science & Business Media →ISBN, page 81
- (category theory) Being the dual of (some other category); containing the same objects but with source and target reversed for all morphisms.
- 1992, Colin McLarty, Elementary Categories, Elementary Toposes, Clarendon Press →ISBN, page 77
- Every category is dual to its own dual, so if a statement holds in all categories so does its dual.
- 1992, Colin McLarty, Elementary Categories, Elementary Toposes, Clarendon Press →ISBN, page 77
Synonyms
- (category theory): opposite
Translations
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- The translations below need to be checked and inserted above into the appropriate translation tables, removing any numbers. Numbers do not necessarily match those in definitions. See instructions at Wiktionary:Entry layout#Translations.
Noun
dual (plural duals)
- Of an item that is one of a pair, the other item in the pair.
- (geometry) Of a regular polyhedron with V vertices and F faces, the regular polyhedron having F vertices and V faces.
- The octahedron is the dual of the cube.
- (grammar) dual number The grammatical number of a noun marking two of something (as in singular, dual, plural), sometimes referring to two of anything (a couple of, exactly two of), or a chirality-marked pair (as in left and right, as with gloves or shoes) or in some languages as a discourse marker, "between you and me". A few languages display trial number.
- (mathematics) Of a vector in an inner product space, the linear functional corresponding to taking the inner product with that vector. The set of all duals is a vector space called the dual space.
Translations
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See also
Verb
dual (third-person singular simple present duals, present participle (UK) dualling or (US) dualing, simple past and past participle (UK) dualled or (US) dualed)
- (transitive) To convert from single to dual; specifically, to convert a single-carriageway road to a dual carriageway.
- 1994, Great Britain. Parliament. House of Commons, Parliamentary Debates
- I have to declare an interest and I do so with some ambivalence because if the road is dualled it is likely to take half of my front garden.
- 1998, Great Britain. Parliament. House of Commons, Parliamentary Debates
- Way back in 1971, the Government of the day first published plans for a high-capacity road network, which included the dualling of the A47 from King's Lynn to Great Yarmouth.
- 2006, David Lowe, Intermodal Freight Transport, p. 163
- The power generation and propulsion systems are dualled to accommodate component failure and maintain propulsion at reduced speed should any part of one system be lost.
- 1994, Great Britain. Parliament. House of Commons, Parliamentary Debates
German
Pronunciation
- IPA(key): [duˈaːl]
- Hyphenation: du‧al
Audio (file)
Declension
number & gender | singular | plural | |||
---|---|---|---|---|---|
masculine | feminine | neuter | all genders | ||
predicative | er ist dual | sie ist dual | es ist dual | sie sind dual | |
strong declension (without article) |
nominative | dualer | duale | duales | duale |
genitive | dualen | dualer | dualen | dualer | |
dative | dualem | dualer | dualem | dualen | |
accusative | dualen | duale | duales | duale | |
weak declension (with definite article) |
nominative | der duale | die duale | das duale | die dualen |
genitive | des dualen | der dualen | des dualen | der dualen | |
dative | dem dualen | der dualen | dem dualen | den dualen | |
accusative | den dualen | die duale | das duale | die dualen | |
mixed declension (with indefinite article) |
nominative | ein dualer | eine duale | ein duales | (keine) dualen |
genitive | eines dualen | einer dualen | eines dualen | (keiner) dualen | |
dative | einem dualen | einer dualen | einem dualen | (keinen) dualen | |
accusative | einen dualen | eine duale | ein duales | (keine) dualen |
Irish
Pronunciation
- IPA(key): /d̪ˠuəlˠ/
Etymology 1
From Old Irish dúal (“tress, lock of hair”), from Proto-Celtic *doklos, from Proto-Indo-European *doḱlos (compare Icelandic tagl (“horse’s tail”), Old English tæġl, English tail).
Noun
Declension
First declension
Bare forms:
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Forms with the definite article:
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Derived terms
Verb
dual (present analytic dualann, future analytic dualfaidh, verbal noun dualadh, past participle dualta)
Conjugation
singular | plural | relative | autonomous | ||||||
---|---|---|---|---|---|---|---|---|---|
first | second | third | first | second | third | ||||
indicative | present | dualaim | dualann tú; dualair† |
dualann sé, sí | dualaimid | dualann sibh | dualann siad; dualaid† |
a dhualann; a dhualas / a ndualann*; a ndualas* |
dualtar |
past | dhual mé; dhualas | dhual tú; dhualais | dhual sé, sí | dhualamar; dhual muid | dhual sibh; dhualabhair | dhual siad; dhualadar | a dhual / ar dhual* |
dualadh | |
past habitual | dhualainn | dhualtá | dhualadh sé, sí | dhualaimis; dhualadh muid | dhualadh sibh | dhualaidís; dhualadh siad | a dhualadh / ar dhualadh* |
dhualtaí | |
future | dualfaidh mé; dualfad |
dualfaidh tú; dualfair† |
dualfaidh sé, sí | dualfaimid; dualfaidh muid |
dualfaidh sibh | dualfaidh siad; dualfaid† |
a dhualfaidh; a dhualfas / a ndualfaidh*; a ndualfas* |
dualfar | |
conditional | dhualfainn / ndualfainn‡‡ | dhualfá / ndualfᇇ | dhualfadh sé, sí / ndualfadh sé, s퇇 | dhualfaimis; dhualfadh muid / ndualfaimis‡‡; ndualfadh muid‡‡ | dhualfadh sibh / ndualfadh sibh‡‡ | dhualfaidís; dhualfadh siad / ndualfaidís‡‡; ndualfadh siad‡‡ | a dhualfadh / ar dhualfadh* |
dhualfaí / ndualfa퇇 | |
subjunctive | present | go nduala mé; go ndualad† |
go nduala tú; go ndualair† |
go nduala sé, sí | go ndualaimid; go nduala muid |
go nduala sibh | go nduala siad; go ndualaid† |
— | go ndualtar |
past | dá ndualainn | dá ndualtá | dá ndualadh sé, sí | dá ndualaimis; dá ndualadh muid |
dá ndualadh sibh | dá ndualaidís; dá ndualadh siad |
— | dá ndualtaí | |
imperative | dualaim | dual | dualadh sé, sí | dualaimis | dualaigí; dualaidh† |
dualaidís | — | dualtar | |
verbal noun | dualadh | ||||||||
past participle | dualta |
* Indirect relative
† Archaic or dialect form
‡‡ Dependent form used with particles that trigger eclipsis
Noun
Declension
First declension
Bare forms:
|
Forms with the definite article:
|
Derived terms
- dualach2
- dualbhata
Etymology 3
From Old Irish dúal (“that which belongs or is proper to an individual by nature or descent”), from Proto-Indo-European *dʰewgʰ-.
Adjective
dual (genitive singular masculine duail, genitive singular feminine duaile, plural duala, comparative duaile)
Declension
Singular | Plural (m/f) | |||
---|---|---|---|---|
Positive | Masculine | Feminine | (strong noun) | (weak noun) |
Nominative | dual | dhual | duala; dhuala² | |
Vocative | dhuail | duala | ||
Genitive | duale | duala | dual | |
Dative | dual; dhual¹ |
dhual; dhuail (archaic) |
duala; dhuala² | |
Comparative | níos duale | |||
Superlative | is duale |
¹ When the preceding noun is lenited and governed by the definite article.
² When the preceding noun ends in a slender consonant.
Mutation
Irish mutation | ||
---|---|---|
Radical | Lenition | Eclipsis |
dual | dhual | ndual |
Note: Some of these forms may be hypothetical. Not every possible mutated form of every word actually occurs. |
Further reading
- "dual" in Foclóir Gaeilge-Béarla, An Gúm, 1977, by Niall Ó Dónaill.
- “1 dúal” in Dictionary of the Irish Language, Royal Irish Academy, 1913–76.
- “2 dúal” in Dictionary of the Irish Language, Royal Irish Academy, 1913–76.
- Entries containing “dual” in English-Irish Dictionary, An Gúm, 1959, by Tomás de Bhaldraithe.
- Entries containing “dual” in New English-Irish Dictionary by Foras na Gaeilge.
Scottish Gaelic
Etymology 1
From Old Irish dúal (“that which belongs or is proper to an individual by nature or descent”), from Proto-Indo-European *dʰewgʰ-.
Derived terms
Etymology 2
From Old Irish dúal (“tress, lock of hair”), from Proto-Celtic *doklos, from Proto-Indo-European *doḱlos.
Noun
Mutation
Scottish Gaelic mutation | |
---|---|
Radical | Lenition |
dual | dhual |
Note: Some of these forms may be hypothetical. Not every possible mutated form of every word actually occurs. |