Endformel

Endformel (German for "end formula") is a term used in German-language mathematical and scientific writing to denote the final, explicit expression that summarizes the result of a calculation, derivation, or problem solution. The exact meaning is not rigidly defined and can vary by context. In some sources it refers specifically to a final closed-form expression, while in others it is used more generally for the concluding equation of a derivation.

In practice, an endformel appears at the end of a sequence of steps, after intermediate expressions have been presented. It serves as a concise statement of the result that a reader can verify or reuse. The term is common in expository or didactic writing; in many publications the more common labels are Schlussformel or Endergebnis, with Endformel appearing as a stylistic variant.

Relation to closed form: when the final expression is in closed form, some authors explicitly call it the endformel; however not all endformeln are closed-form expressions. Some contexts use it for any final, simplified expression, even if it is not in closed form.

Examples vary by discipline. In algebra, the endformel may present the solved relation z = f(x, y); in physics or engineering, it may denote the final equation of motion or design formula after integration or simplification.

See also: Schlussformel, geschlossene Form, Endergebnis, final expression.