Liniensystem

Liniensystem is a German term that translates to “line system” and is used in different disciplines to describe a coherent arrangement of lines forming a structured network or collection. The exact meaning depends on context, but the term generally denotes an organized set of lines that interact to achieve a common purpose.

In mathematics, the term is often used as a translation of linear system. A linear system is a set of linear equations with the same variables. Solving such a system involves finding values that satisfy all equations simultaneously. In higher mathematics, linear systems also appear as spaces of sections of line bundles or as projective spaces associated with divisors, focusing on linear relationships among elements.

In transportation and urban planning, Liniensystem denotes the planned network of lines—such as bus, tram, or subway lines—that operate within a metropolitan area. The concept emphasizes interoperability, transfers at interchange points, and coordinated timetables to ensure coverage, reliability, and efficient passenger flows.

In cartography, surveying, or civil engineering, a Liniensystem may refer to a grid or set of reference lines used for measurement, mapping, or alignment, such as a map grid or construction line network. These lines provide a framework for positioning and coordination across projects.

Because the term is polysemous, its precise meaning varies with context. See also linear system, line network, grid, and transit network for related concepts.