tidsavhengi

Tidsavhengi is a term used in Norwegian-language discussions to refer to temporal dependence, the quality of a system, process, or dataset whose behavior changes over time. It is closely related to the concept of time dependence or non-stationarity in various scientific fields.

Etymology and usage notes: the word combines tids (time) with avhengig (dependent). In standard Norwegian, the common spellings are tidsavhengig or tidsavhengighet, while tidsavhengi may appear as a dialectal or informal variant or as a misspelling. In formal writing, tidsavhengig are preferred, but tidsavhengi can still be encountered in some texts or contexts.

Conceptual definition: a tidsavhengi system exhibits time-dependent properties, parameters, or dynamics. This means that its state, output, or statistical characteristics cannot be fully described without explicit reference to time. In mathematical terms, the system is often modeled with time-varying functions or parameters, such as x(t) or A(t), and may be governed by differential equations or time-dependent statistical models.

Applications and examples: in physics and engineering, a time-dependent (tidsavhengi) process may involve differential equations with coefficients that change over time, such as a(t)x' = f(x,t). In signal processing, filters with time-varying gains are tidsavhengi. In economics or climatology, non-stationary data with evolving trends and variances are described as tidsavhengi phenomena.

Relation to other terms: tidsavhengi is often used interchangeably with tidsavhengig or tidsavhengighet, though the latter are the standard forms in formal Norwegian. Distinctions typically center on whether time dependence is explicit (time-varying) versus implicit (non-stationary or evolving). See also tidsavhengighet, non-stationarity, and time-dependent models.