Gaußscher

Gaußscher is the German adjective meaning Gaussian or Gauss-related, named after the 18th–19th century German mathematician Carl Friedrich Gauss. It is used in German-language technical writing to describe concepts that either originate with Gauss or share Gaussian properties. In mathematical and scientific contexts the term appears in a variety of established phrases.

Common usages include the Gaußsche Normalverteilung (Gaussian distribution), a continuous probability distribution characterized by a bell-shaped curve with parameters such as mean and standard deviation. The Gaußsche Funktion (Gaussian function) refers to a fundamental bell-shaped function used in analysis and as a kernel in smoothing. In numerical methods, das Gaußsche Eliminationsverfahren (Gaussian elimination) is a standard procedure for solving systems of linear equations. In probability theory and machine learning, der Gaußprozess or Gaußprozess (Gaussian process) describes a collection of random variables with Gaussian distributions for any finite subset. In image processing, die Gaußsche Unschärfe (Gaussian blur) is a widely used smoothing filter.

The exact ending of the adjective varies with gender and case of the noun it modifies; both Gaußsche and Gaußscher forms occur in German, depending on grammatical context. In English-language writing, the corresponding term is Gaussian. The term Gaußscher thus serves as the German-language label for concepts associated with Gauss or with Gaussian properties across mathematics, statistics, and related fields.