dual background

dual

/ˈdjuː.əl/ /ˈd(j)uː.əl/

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noun

Gegenstück, Zwilling

Of an item that is one of a pair, the other item in the pair.

Examples :

"My sister and I share a bedroom, and the room has a dual desk. "

Meine Schwester und ich teilen uns ein Schlafzimmer, und das Zimmer hat einen Doppelschreibtisch.

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noun

Dual, Gegenteil

Of a regular polyhedron with V vertices and F faces, the regular polyhedron having F vertices and V faces.

Examples :

"The octahedron is the dual of the cube."

Das Oktaeder ist das Dual des Würfels.

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noun

Dual, Zwillingsform

(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.

Examples :

"The grammar lesson focused on the dual number, which describes two things, like a pair of shoes or two friends. "

Die Grammatikstunde konzentrierte sich auf den Dual, der zwei Dinge beschreibt, wie ein Paar Schuhe oder zwei Freunde.

grammar language linguistics number

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noun

Dualvektor, der lineare Funktional

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.

Examples :

"The dual of the vector representing my daily tasks is the functional that measures how much time each task takes. "

Der Dualvektor, der meine täglichen Aufgaben darstellt, ist das Funktional, das misst, wie viel Zeit jede Aufgabe in Anspruch nimmt.

math technical space function

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verb

In eine zweispurige Straße umwandeln

To convert from single to dual; specifically, to convert a single-carriageway road to a dual carriageway.

Examples :

"The city council voted to dual the main road leading to the school, making it safer for students to travel. "

Der Stadtrat stimmte dafür, die Hauptstraße zur Schule in eine zweispurige Straße umzuwandeln, um die Schüler sicherer zu machen.

traffic building

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adjective

Doppelt, zweifach

Exhibiting duality; characterized by having two (usually equivalent) components.

Examples :

"The student's dual citizenship allowed them to participate in both their home country's and their adopted country's cultural events. "

Die doppelte Staatsbürgerschaft des Studenten ermöglichte ihm die Teilnahme an kulturellen Veranstaltungen sowohl in seinem Heimatland als auch in seinem Gastland.

philosophy science

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adjective

Doppelt, zweifach, gegensätzlich

Acting as a counterpart.

Examples :

"My sister and I have dual roles in the family; she is the organizer, and I am the one who handles the details. "

Meine Schwester und ich haben doppelte Rollen in der Familie; sie ist die Organisatorin, und ich bin derjenige, der sich um die Details kümmert.

function system

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adjective

Doppelt

Examples :

"a dual-headed computer"

ein Computer mit zwei Köpfen

number type quality

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adjective

Dual, zweifach

(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.

Examples :

"Modern Arabic displays a dual number, as did Homeric Greek."

Modernes Arabisch weist einen Dual auf, ebenso wie das homerische Griechisch.

grammar language linguistics

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adjective

Dual

Being the space of all linear functionals of (some other space).

Examples :

"The student's understanding of linear algebra relied on a strong grasp of the dual space of vectors. "

Das Verständnis des Schülers von linearer Algebra basierte auf einem soliden Verständnis des Dualraums von Vektoren.

math space function technical

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adjective

Dual, doppelt

Being the dual of some other category; containing the same objects but with source and target reversed for all morphisms.

Examples :

"The dual role of a parent is demanding; they are both the provider and the nurturer. "

Die duale Rolle eines Elternteils ist anspruchsvoll; sie sind sowohl Ernährer als auch Erzieher.

math logic computing technical science