Quaternion groupIn group theory, the quaternion group Q8 (sometimes just denoted by Q) is a non-abelian group of order eight, isomorphic to the eight-element subset of the quaternions under multiplication. It is given by the group presentation where e is the identity element and commutes with the other elements of the group. Another presentation of Q8 is The quaternion group Q8 has the same order as the dihedral group D4, but a different structure, as shown by their Cayley and cycle graphs: In the diagrams for D4, the group elements are marked with their action on a letter F in the defining representation R2.
Tramway trackTramway track is used on tramways or light rail operations. Grooved rails (or ) are often used to provide a protective flangeway in the trackwork in city streets. Like standard rail tracks, tram tracks consist of two parallel steel rails. Tram rails can be placed on several surfaces, such as with on sleepers like railway tracks, or with grooved rails on concrete sleepers into street surfaces (pavement) for street running. Tram rails in street have the disadvantage that they pose a risk to cyclists.
Fundamental groupIn the mathematical field of algebraic topology, the fundamental group of a topological space is the group of the equivalence classes under homotopy of the loops contained in the space. It records information about the basic shape, or holes, of the topological space. The fundamental group is the first and simplest homotopy group. The fundamental group is a homotopy invariant—topological spaces that are homotopy equivalent (or the stronger case of homeomorphic) have isomorphic fundamental groups.
Railway trackA railway track (British English and UIC terminology) or railroad track (American English), also known as a train track or permanent way, is the structure on a railway or railroad consisting of the , fasteners, railroad ties (sleepers, British English) and ballast (or slab track), plus the underlying subgrade. It enables trains to move by providing a dependable surface for their wheels to roll upon. Early tracks were constructed with wooden or cast iron rails, and wooden or stone sleepers; since the 1870s, rails have almost universally been made from steel.
Engineering educationEngineering education is the activity of teaching knowledge and principles to the professional practice of engineering. It includes an initial education (bachelor's and/or master's degree), and any advanced education and specializations that follow. Engineering education is typically accompanied by additional postgraduate examinations and supervised training as the requirements for a professional engineering license. The length of education, and training to qualify as a basic professional engineer, is typically 5 years, with 15–20 years for an engineer who takes responsibility for major projects.
Landing pageIn online marketing, a landing page, sometimes known as a "lead capture page", "single property page", "static page", "squeeze page" or a "destination page", is a single web page that appears in response to clicking on a search engine optimized search result, marketing promotion, marketing email or an online advertisement. The landing page will usually display directed sales copy that is a logical extension of the advertisement, search result or link. Landing pages are used for lead generation.
Basilica of Saint-DenisThe Basilica of Saint-Denis (Basilique royale de Saint-Denis, now formally known as the Basilique-cathédrale de Saint-Denis) is a large former medieval abbey church and present cathedral in the commune of Saint-Denis, a northern suburb of Paris. The building is of singular importance historically and architecturally as its choir, completed in 1144, is widely considered the first structure to employ all of the elements of Gothic architecture.
La Chaux-de-FondsLa Chaux-de-Fonds (laʃodəfɔ̃) is a Swiss city in the canton of Neuchâtel. It is located in the Jura mountains at an altitude of 1000 m, a few kilometres south of the French border. After Geneva, Lausanne and Fribourg it is the fourth largest city in the Romandie, the French-speaking part of the country, with a population () of . The city was founded in 1656. Its growth and prosperity are mainly bound up with watch making. It is the most important centre of the watch-making industry in the area known as the Watch Valley.
Millau ViaductThe Millau Viaduct (Viaduc de Millau, vja.dyk də mi.jo) is a multispan cable-stayed bridge completed in 2004 across the gorge valley of the Tarn near (west of) Millau in the Aveyron department in the Occitanie Region, in Southern France. The design team was led by engineer Michel Virlogeux and English architect Norman Foster. it is the tallest bridge in the world, having a structural height of . The Millau Viaduct is part of the A75–A71 autoroute axis from Paris to Béziers and Montpellier.
OrganizationAn organization or organisation (Commonwealth English; see spelling differences), is an entity—such as a company, an institution, or an association—comprising one or more people and having a particular purpose. The word is derived from the Greek word organon, which means tool or instrument, musical instrument, and organ. There are a variety of legal types of organizations, including corporations, governments, non-governmental organizations, political organizations, international organizations, armed forces, charities, not-for-profit corporations, partnerships, cooperatives, and educational institutions, etc.