George Sellios is an American model builder and owner of Fine Scale Miniatures, a company renowned for its highly detailed model kits and accessories, particularly focused on the railroad and diorama hobby. Sellios is celebrated for his craftsmanship and attention to detail in creating realistic miniature scenes, often reflecting historical themes and urban settings. His work is highly regarded in the model railroading community, and he has contributed significantly to the popularity of detailed, scale modeling through his kits and techniques.

Rod Stewart is a British rock and pop singer and songwriters, known for his distinctive raspy voice and a career that has spanned several decades since the 1960s. He gained fame as a solo artist and through his work with various bands, including The Faces.

The term "30-inch railways" typically refers to narrow-gauge railways that have a track gauge of 30 inches (approximately 76.2 cm). Narrow-gauge railways are often used in mountainous areas or for industrial purposes where tighter curves and steeper gradients can be accommodated compared to standard gauge railways.

Maurice Kraitchik was a prominent mathematician, particularly known for his work in the field of number theory and recreational mathematics. He was born on November 21, 1894, in the Russian Empire and passed away on January 14, 1957. Kraitchik is often recognized for his contributions to various mathematical problems and for promoting the enjoyment of mathematics through puzzles and games.

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.

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.

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.

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.

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.

The Erdős–Hajnal conjecture is a famous conjecture in combinatorial set theory and graph theory, proposed by mathematicians Paul Erdős and András Hajnal in the early 1970s. It addresses the structure of graphs that do not contain certain types of subgraphs, specifically focusing on the clique and independent set sizes.

Milliken's tree theorem is a result in the field of combinatorial set theory, specifically in the area of Ramsey theory. It deals with properties of certain types of trees, which are hierarchical structures that can be thought of as branching diagrams. The theorem states that for any finite coloring of the nodes of a tree, one can find a subtree of a certain structure that is monochromatic (i.e., all nodes in that subtree have the same color) and satisfies certain conditions.

"The Mathematical Coloring Book" is a book written by the mathematician Alexis P. F. K. Myerson. It is designed to introduce readers to various concepts in mathematics through the engaging medium of coloring. The book features a variety of mathematical problems and concepts, encouraging readers to explore different areas of mathematics while participating in a fun and creative activity.

"Slicing the Truth" is a term that may refer to the idea of breaking down information, evidence, or arguments into smaller, more manageable parts to analyze and understand them better. This concept is often applied in various fields, such as philosophy, logic, and critical thinking, where the goal is to examine the components of a statement or belief to assess its validity, truthfulness, or implications.

As of my last update in October 2023, there is no widely recognized concept, product, or individual known as "Shai Evra." It might be a term specific to a niche field, a recent development, or a personal name not widely covered in available sources.

Hilbert's seventeenth problem, formulated by the mathematician David Hilbert in 1900, asks whether every non-negative polynomial in real variables can be represented as a sum of squares of rational functions.

The term "Nash functions" is not a standard term in mathematics or economics. However, it seems to be related to Nash equilibria, named after John Nash, a mathematician whose work in game theory has foundational implications in various fields such as economics, political science, and biology. **Nash Equilibrium**: A Nash equilibrium is a concept within game theory where no player can benefit from unilaterally changing their strategy if the strategies of the other players remain unchanged.

A polytope is a geometric object with "flat" sides, which exists in any number of dimensions. The term is commonly used in the contexts of both geometry and higher-dimensional mathematics. Here are some key points about polytopes: 1. **Definition**: A polytope is defined as the convex hull of a finite set of points in a Euclidean space. Essentially, it is the shape formed by connecting these points with flat surfaces.

Sum-of-squares optimization is a mathematical approach used primarily in the context of optimizing functions, particularly in the fields of statistics, data fitting, and machine learning. The term generally refers to minimizing the sum of the squares of differences between observed values and values predicted by a model. This method is often employed in regression analysis and linear modeling.