The Birmingham Dribbler is an informal term that can refer to a type of pedestrian or urban phenomenon in Birmingham, UK, often reflecting local slang or colloquial expressions related to the culture of the city. However, as of my last update in October 2023, it does not refer to a widely recognized concept, group, or event.

The Casino Model Railway Museum is a specialized museum located in Casino, New South Wales, Australia. It is dedicated to the exhibition and preservation of model railways and railway memorabilia. The museum features an extensive collection of model trains, dioramas, and displays that showcase various rail systems and historical railway scenes. Visitors to the museum can explore intricately detailed layouts that often include operational trains, landscapes, and miniature towns.

The Computer Model Railroad Interface (CMRI) is a system designed to facilitate communication and control of model railroads using computers. It provides a framework that allows hobbyists to integrate digital controls with their model railroads, enabling features such as automated train operation, remote control of switches and signals, and monitoring of train positions and statuses.

Hornby Track Master is a model railway system produced by Hornby, a well-known British manufacturer of model trains and accessories. The Track Master system is designed to allow hobbyists and enthusiasts to create intricate railway layouts with various track configurations. It typically features a range of track pieces, including straight tracks, curves, junctions, and other specialized components to enable a variety of train operations.

The Lionel Wartime Freight Train refers to a series of model trains produced by Lionel during World War II, specifically between 1942 and 1945. Due to material shortages and government restrictions on production during the war, Lionel adapted its offerings to focus on simpler designs that used fewer resources. This included a limited set of freight cars themed around the wartime context, featuring military motifs or designs that resonated with the prevailing sentiments of patriotism and support for the war effort.

Live steam refers to the use of steam power in miniature models, often in the context of model railroads and scale locomotives. Live steam models are powered by real steam engines that are typically fueled by alcohol, propane, or other sources, which heat water to create steam. This steam drives the engine's pistons, allowing the model to move and operate much like a full-sized steam locomotive.

FREMO stands for "Freundschafts- und Modellbahn-Express" (Friendship and Model Railway Express), and it is an association for model railroad enthusiasts, particularly in Germany. FREMO is known for promoting modular model railroading, where members create and set up layouts using standardized modules. This allows for flexible and diverse configurations that can be assembled for exhibitions or events. The association encourages collaboration and social interaction among its members, emphasizing the enjoyment of building and operating model railroads.

An activity-driven model is a framework used in various fields, including business process modeling, project management, and systems development, that emphasizes the activities or tasks that are necessary to achieve specific goals or outcomes. Rather than focusing primarily on resources (like people, tools, or capital) or outputs (like products or services), this model prioritizes the workflows and processes that drive success.

Loop-erased random walk (LERW) is a mathematical construct and a type of random walk that is particularly interesting in the fields of probability theory and statistical mechanics. It can be thought of as a model for exploring the behavior of paths in a random environment while avoiding certain obstacles (loops). Here's how it works: 1. **Random Walk**: Begin with a simple random walk on a lattice (for example, the integer grid in two dimensions), starting from an origin point.

Modelling British railway prototypes generally refers to the hobby of creating scale models that represent British railway vehicles, infrastructure, and scenes. This can include a variety of elements, such as locomotives, rolling stock (passenger and freight cars), stations, tracks, and the broader railway environment including scenery and buildings.

Normen Europäischer Modellbahnen (NEM) refers to a set of standards that govern the various aspects of model railroading in Europe. These standards were established to ensure compatibility and interoperability among different manufacturers' products, thus enhancing the overall experience of model railroad enthusiasts. The NEM standards cover a wide range of topics, including but not limited to: 1. **Scale and Gauge**: Definitions of various scales (e.g., H0, N) and respective track gauges.

The Railway of the Prince Imperial, also known as the "Chemin de fer du Prince Impérial," refers to a narrow-gauge railway located in the region of La Réunion, an island in the Indian Ocean that is overseas territory of France. This railway was built in the late 19th century, specifically between 1889 and 1890, to transport tourists to the scenic areas of the island.

Ramsey's theorem is a fundamental result in combinatorial mathematics and graph theory that addresses the conditions under which order must appear in a large enough structure. The theorem essentially states that in any sufficiently large graph, one can find certain types of complete subgraphs.

SuperTrain is an annual model train and hobby show that typically takes place in Calgary, Alberta, Canada. It showcases a variety of model railroads, trains, and related hobbies, attracting enthusiasts of all ages. The exhibition features large operating layouts, vendor booths selling supplies and merchandise, workshops, and family-friendly activities. It's an opportunity for model train enthusiasts to connect, share ideas, and participate in the vibrant model railroading community.

The Biggest Little Railway in the World is an anthology model railway layout located in the United Kingdom, specifically in the town of Bexhill-on-Sea, East Sussex. It is renowned for its intricate design and attention to detail, showcasing a miniature world complete with landscapes, buildings, and operational trains. The railway features various gauges and is designed to entertain both model railway enthusiasts and the general public.

A toy train is a miniature model train used primarily for play and entertainment. Toy trains come in various sizes, materials, and designs, and they can be operated in different ways, such as by hand, battery, or electricity. They can be part of a simple set designed for young children or more complex systems with tracks, scenery, and multiple cars designed for older hobbyists.

"Tracks Ahead" is a television series that focuses on railroads and railroading in the United States. The program, which began airing in the early 1990s, showcases various aspects of rail transport, including trains, rail systems, historical train journeys, and the impact of railroads on communities. It often features interviews with railroad enthusiasts, operators, and historians, as well as discussions about the technology and operations of railroads.

A **Cap set** is a specific configuration in the context of combinatorial geometry and number theory, specifically concerning subsets of integers or points in higher-dimensional spaces. The concept is particularly related to the study of sets that avoid certain geometric configurations or progressions.

Corners theorem, often referred to in the context of graph theory and combinatorial geometry, generally deals with conditions on the arrangement of points or vertices in a specific geometric or combinatorial setting. The theorem states that given a finite set of points in the plane, one can find a subset of these points such that certain geometric or combinatorial properties hold, often involving the vertices (or corners) of a configuration.