kontinuerlige

Kontinuerlige is the Danish and Norwegian plural form of the adjective kontinuerlig, meaning continuous or ongoing. It describes things that proceed without interruption or without distinct steps. In Danish and Norwegian grammar it is used to modify plural nouns, for example kontinuerlige prosesser (continuous processes) or kontinuerlige signaler (continuous signals).

In mathematics, kontinuerlige funksjoner describe functions that have no jumps or breaks in their graph across a domain. A function f is continuous at a point if small changes in the input produce small changes in the output. The concept is fundamental to calculus and analysis, with common examples including polynomials and trigonometric functions.

In statistics and data science, kontinuerlige variabler refer to variables that can take any value within an interval, such as height, temperature, or time. This contrasts with diskrete variabler, which take only distinct values. Kontinuerlige fordelinger describe probability distributions over real-valued outcomes, such as the normal or uniform distribution, characterized by probability density functions.

In science and engineering, kontinuerlige concepts describe systems or signals defined over a continuum rather than discrete points. Examples include continuous-time signals in electrical engineering and continuous models in physics and control theory, where quantities vary smoothly over time or space.

Etymologically, the term derives from Latin continuus and has cognates across Nordic languages, reflecting the idea of uninterrupted progression. See also related terms: kontinuerlig, kontinuerlighet, continuous and continuous variable.