gleichförmigen

Gleichförmigen is the inflected form of the German adjective gleichförmig, meaning uniform, regular, or constant in form, rate, or degree. It is used to describe processes, structures, or patterns that do not vary over time or space. In general, gleichförmig connotes consistency and sameness across the subject it modifies.

In physics and everyday technical language, gleichförmige Bewegung refers to motion with constant velocity: speed and direction remain unchanged, resulting in a straight-line path at a steady pace. This is contrasted with ungleichförmige or accelerated motion, where velocity changes over time. The term is often taught in introductory kinematics.

The word also appears outside physics to describe regularity in other domains. For example, eine gleichförmige Zusammensetzung indicates a composition that is uniform throughout a substance or sample. In statistics or probability, terms like eine gleichförmige Verteilung are used to describe a uniform distribution where all outcomes are equally likely. In design, biology, or materials science, gleichförmige Muster or Strukturen describe regular, evenly spaced, or homogeneous arrangements.

Grammar note: Gleichförmigen is an attributive adjective form used with nouns in plural or certain singular cases (e.g., die gleichförmigen Bewegungen; mit gleichförmigen Mustern). The corresponding singular forms include gleichförmige Bewegung (nominative) and others depending on case and gender.