The Verkehrsverbund Rhein-Ruhr (abbreviated VRR) is the public transport association covering the area of the Rhine-Ruhr conurbation in Germany. It was founded on 1 January 1980, and is Europe’s largest body of such kind, covering an area of some 5,000 km² with more than seven million inhabitants, spanning as far as Dorsten in the north, Dortmund in the east, Langenfeld in the south, and Mönchengladbach and the Dutch border in the west.
In 2004, roughly 1 billion trips were made by way of the VRR network.
With the introduction of the VRR in 1980 a new line numbering systems for all bus, tram and Stadtbahn lines in the VRR area was introduced. The VRR was dividied into ten sections getting a key number (e.g. 4 for Dortmund), the first number in the three-digit line numbers represents these key numbers. The last two numbers are the actual identifying numbers. These are the key numbers:
VRR (a Vector-based gRaphic editoR) is a free and open source vector graphics editor application designed especially for creating illustrations of mathematical articles.
VRR has a simple but powerful operation set: creating, manipulating and transforming basic graphic primitives, which are points, segments, rational Bézier curves, elliptic arcs etc. All objects can be determined not only by absolute coordinates, but also by geometric dependencies on other objects – intersections, significant points, other curves etc. When an object is changed, the dependent objects are recalculated automatically. This enables you to modify the image easily without breaking the lines visually tied together.
VRR has a sophisticated system for working with text. In addition to common text objects, it allows you to create text objects typeset by TeX and make them part of your image. This is especially useful for including math expressions into the picture.
The editor is able to import from and export to files in common data formats (export to PDF, PS, EPS and SVG, import from IPE5 and SVG).
VRR may refer to: