berechne

Berechne is a German verb form derived from berechnen, meaning to calculate or compute. The core sense is to determine a numeric value, a result, or an estimate through calculation, whether by hand or by algorithm. The prefix be- adds a sense of applying or performing the action to a specific case. The noun Berechnung denotes the act or result of calculation, and related compounds include Berechnungsverfahren (calculation method), Kostenberechnung (cost calculation), and Funktionsberechnung (function evaluation).

Grammar and forms: berechnen is a regular verb. Typical present tense forms include ich berechne, du berechnest, er berechnet, wir berechnen, ihr berechnet, sie berechnen. The informal imperative for the du form is berechne; the formal imperative for Sie is Berechnen Sie. The past forms include präteritum ich berechnete and perfekt ich habe berechnet. In many contexts, berechne appears in compound phrases such as sich berechnen, though the reflexive use is less common here.

Usage: In mathematics, science, economics and everyday language, berechnen appears in contexts such as "Berechne die Fläche eines Kreises" or "Wir berechnen die Gesamtkosten." In computing and statistics, the term Berechnung is used to refer to the process of determining results algorithmically, and related terms such as Berechnungsverfahren and Berechnungszeit describe methods and runtime. The adjective berechenbar means computable or predictable, used in computability theory as "berechenbare Funktionen" or "berechenbare Probleme."

Overview: Berechne connects the action of computing with specific applications, illustrating how German distinguishes the act (Berechnung) from the process (berechnen) and its attributes (berechenbar).