Gausssche

Gausssche is the German adjectival form derived from the surname Gauss (Carl Friedrich Gauss). It is used to signal that a term, theorem, method, or law is named after Gauss and thus associated with his work. The standard spelling in modern German is Gaußsche, while Gausssche is an alternative used when the ß character is not available or in older texts. In English-language contexts, equivalent terms are Gaussian or Gauss’s.

Common uses include Gaußsche Verteilung (Gaussian distribution), Gaußsche Eliminationsverfahren (Gaussian elimination), Gaußsche Summenformel (Gauss sum formula), Gaußsche Krümmung (Gaussian curvature), Gaußsches Gesetz (Gauss's law), and Gaußsche Fehlerfortpflanzung (Gaussian error propagation). These terms appear across statistics, linear algebra, differential geometry, and electromagnetism, reflecting Gauss’s wide-ranging contributions to mathematics and physics.

Carl Friedrich Gauss (1777–1855) was a German mathematician and physicist whose work significantly shaped number theory, astronomy, statistics, and magnetism. Terms bearing his name encapsulate methods or properties established in his research or named in his honor by later scientists.

See also: Gaussian distribution, Gauss's law, Gaussian curvature, Gaussian elimination, Gauss sum.