In mathematics, graph theory is the study of graphs, which are mathematical structures used to model pairwise relations between objects. A graph in this context is made up of vertices which are connected by edges. A distinction is made between undirected graphs, where edges link two vertices symmetrically, and directed graphs, where edges link two vertices asymmetrically. Graphs are one of the principal objects of study in discrete mathematics.
A theory of everything, final theory, ultimate theory, or master theory is a hypothetical single, all-encompassing, coherent theoretical framework of physics that fully explains and links together all physical aspects of the universe. Finding a TOE is one of the major unsolved problems in physics. String theory and M-theory have been proposed as theories of everything. Over the past few centuries, two theoretical frameworks have been developed that, together, most closely resemble a TOE. These two theories upon which all modern physics rests are general relativity and quantum mechanics. General relativity is a theoretical framework that only focuses on gravity for understanding the universe in regions of both large scale and high mass: stars, galaxies, clusters of galaxies, etc. On the other hand, quantum mechanics is a theoretical framework that only focuses on three non-gravitational forces for understanding the universe in regions of both small scale and low mass: sub-atomic particles, atoms, molecules, etc. Quantum mechanics successfully implemented the Standard Model that describes the three non-gravitational forces – strong nuclear, weak nuclear, and electromagnetic force – as well as all observed elementary particles.
A theory is a rational type of abstract thinking about a phenomenon, or the results of such thinking. The process of contemplative and rational thinking often is associated with such processes like observational study, research. Theories may either be scientific or other than scientific. Depending on the context, the results might, for example, include generalized explanations of how nature works. The word has its roots in ancient Greek, but in modern use it has taken on several related meanings.
In mathematics and logic, a theorem is a non-self-evident statement that has been proven to be true, either on the basis of generally accepted statements such as axioms or on the basis of previously established statements such as other theorems. A theorem is hence a logical consequence of the axioms, with a proof of the theorem being a logical argument which establishes its truth through the inference rules of a deductive system. As a result, the proof of a theorem is often interpreted as justification of the truth of the theorem statement. In light of the requirement that theorems be proved, the concept of a theorem is fundamentally deductive, in contrast to the notion of a scientific law, which is experimental.
Unitarian or Unitarianism may refer to:
In mathematics, the adjective trivial is often used to refer to a claim or a case which can be readily obtained from context, or an object which possesses a simple structure. The noun triviality usually refers to a simple technical aspect of some proof or definition. The origin of the term in mathematical language comes from the medieval trivium curriculum, which distinguishes from the more difficult quadrivium curriculum. The opposite of trivial is nontrivial, which is commonly used to indicate that an example or a solution is not simple, or that a statement or a theorem is not easy to prove.
A duplex house plan has two living units attached to each other, either next to each other as townhouses, condominiums or above each other like apartments. By contrast, a building comprising two attached units on two distinct properties is typically considered semi-detached or twin homes but is also called a duplex in parts of the Northeastern United States.
The amalgamation of Winnipeg, Manitoba, was the municipal incorporation of the old City of Winnipeg, 11 surrounding municipalities, and the Metropolitan Corporation of Greater Winnipeg (Metro) into a one Unified City of Winnipeg, or Unicity.
St. James-Assiniboia is a major district in Winnipeg, Manitoba. Located in the far western part of the city, it is bounded on the north by the Rural Municipality of Rosser and the Canadian National Railway's Oak Point line, on the south by the Assiniboine River, on the west by the Rural Municipality of Headingley, and on the east by the Canadian Pacific Railway's La Riviere line.
In public transport, a request stop, flag stop, or whistle stop is a stop or station at which buses or trains respectively stop only on request; that is, only if there are passengers or freight to be picked up or dropped off. In this way, stops with low passenger counts can be incorporated into a route without introducing unnecessary delay. Vehicles may also save fuel by continuing through a station when there is no need to stop.
Transport in Winnipeg involves various transportation systems, including both private and public services, and modes of transport in the capital city of Manitoba.
The French Quarter is the oldest section of the city of New Orleans, Louisiana, United States.
Elmwood is a primarily working-class residential area of Winnipeg, Manitoba. It is the only part of the historic city of Winnipeg located east of the Red River.
Unicity Mall was a shopping mall in Winnipeg, Manitoba. It was named for the 1972 unicity restructuring of city management. Originally known as Unicity Fashion Square when it opened in September 1975, the mall was anchored by a Woolco and The Bay, and was one of only three malls in the city, along with Polo Park and Grant Park Shopping Centre. Managed by Trizec Corporation, the mall initially prospered despite one wing being almost completely empty. The food court's McDonald's was the first placed inside a mall in western Canada.
The Unification Church of the United States, sometimes colloquially referred to as the "Moonies", is a religious movement in the United States of America. It began in the 1950s and 1960s when missionaries from Japan and South Korea were sent to the United States by the international Unification movement's founder and leader Sun Myung Moon. It expanded in the 1970s and then became involved in controversy due to its theology, its political activism, and the lifestyle of its members. Since then it has been involved in many areas of American society and has established businesses, news media, projects in education and the arts as well as taking part in political and social activism, and has itself gone through substantial changes.
The history of Winnipeg comprises its initial population by Aboriginal peoples through its settlement by Europeans to the present day. The first forts were built on the future site of Winnipeg in the 1700s, followed by the Selkirk Settlement in 1812. Winnipeg was incorporated as a city in 1873 and experienced dramatic growth in the late 19th and early 20th centuries. Following the end of World War I, the city's importance as a commercial centre in Western Canada began to wane. Winnipeg and its suburbs experienced significant population growth after 1945, and the current City of Winnipeg was created by the unicity amalgamation in 1972.
In mathematics, a uniqueness theorem is a theorem asserting the uniqueness of an object satisfying certain conditions, or the equivalence of all objects satisfying the said conditions. Examples of uniqueness theorems include:
Winnipeg, Manitoba, is subdivided in different ways for different purposes. The suburbs and neighbourhoods of Winnipeg take their names from former administrative districts, parishes, and geographic features.
