dual (EN)

adjective, noun

adjective “dual”

1. having two of the same
   Mellen Iech un, fir d'Iwwersetzungen vun den Beispillsätz an d'monolingual Definitioune vun all Wuert ze gesinn.

   The smartphone features a dual-camera system for better photo quality.
2. in grammar, used for describing a form that represents exactly two items
   In Ancient Greek, nouns had a dual form to specifically denote two items, like two eyes or two hands.
3. in mathematics and physics, showing a relationship where two properties or concepts are related in a way that one can be transformed into the other
   In quantum mechanics, particles have a dual nature, behaving both as particles and waves.
4. in linear algebra, related to a space consisting of all linear functions from another space
   In linear algebra, the concept of duality is illustrated by how every vector space has a corresponding dual space consisting of all its linear functionals.

noun “dual”

1. in geometry, a shape that has the same number of faces as another shape has vertices, and vice versa
   In geometry, the dodecahedron and the icosahedron are duals, with the number of faces and vertices swapped between them.
2. in mathematics, a function related to a vector that involves calculating the product of that vector with another vector
   In our project, we explored how each vector in our dataset has a corresponding dual in the dual space, which we used to calculate inner products efficiently.