identity (EN)

noun

noun “identity”

1. the unique characteristics that define an individual or group as distinct from others
   Mellen Iech un, fir d'Iwwersetzungen vun den Beispillsätz an d'monolingual Definitioune vun all Wuert ze gesinn.

   After moving to a new country, she struggled to maintain her cultural identity.
2. the condition of being the same as something else
   The identity of these two samples required laboratory testing.
3. the persona or facade that a person presents to others
   He assumed a false identity to escape from the police.
4. an equation that is true for all values of its variables
   In trigonometry, sin^2(x) + cos^2(x) = 1 is a fundamental identity.
5. a function that returns the same element it was given
   The identity function in programming simply returns the value that was passed as an argument.
6. an element in mathematics that, when combined with another element in a specific operation, leaves that element unchanged
   In matrix multiplication, the identity matrix leaves other matrices unchanged when it is used as a multiplier.