Background for duals

duals

/ˈduːəlz/ /ˈdjuːəlz/

Illustration duals - Image 1

noun

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

Examples :

"My shoes are a pair; the left shoe is one of the duals to the right shoe. "

Illustration duals - Image 1

noun

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."

Illustration duals - Image 1

noun

(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 :

""Ancient Greek used duals when referring to exactly two of something, like 'two hands' or 'two eyes'." "

grammar linguistics language

Illustration duals - Image 1

noun

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 :

"In linear algebra homework, we often calculate the duals of given vectors to explore the relationship between vectors and linear transformations. "

math space function