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Ord
Ord or ORD may refer to: Places * Ord of Caithness, landform in north-east Scotland * Ord, Nebraska, US * Ord, Northumberland, England * Muir of Ord, village in Highland, Scotland * Ord, Skye, a place near Tarskavaig * Ord River, Western Australia ** Ord Irrigation Area Important Bird Area ** Ord River Floodplain, Ramsar Site ** Ord Victoria Plain * Ord Township, Nebraska (other), name of two townships in Nebraska, US * East Ord, Northumberland, UK * Fort Ord, California, US * O'Hare International Airport (IATA airport code "ORD", FAA LID "ORD", ICAO airport code "KORD"), an airport in Chicago, US Mathematics * Ord, the category of preordered sets * Ord, the proper class of all ordinal numbers * ord(''V''), the order type of a well-ordered set ''V'' * ord''n''(''a''), the multiplicative order of ''a'' modulo ''n'' Businesses * Ord Publishing, an imprint of the German group VDM Publishing devoted to the reproduction of Wikipedia content Fiction * A prefix for sever ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Ordinal Number
In set theory, an ordinal number, or ordinal, is a generalization of ordinal numerals (first, second, th, etc.) aimed to extend enumeration to infinite sets. A finite set can be enumerated by successively labeling each element with the least natural number that has not been previously used. To extend this process to various infinite sets, ordinal numbers are defined more generally using linearly ordered greek letter variables that include the natural numbers and have the property that every set of ordinals has a least or "smallest" element (this is needed for giving a meaning to "the least unused element"). This more general definition allows us to define an ordinal number \omega (omega) to be the least element that is greater than every natural number, along with ordinal numbers , , etc., which are even greater than . A linear order such that every non-empty subset has a least element is called a well-order. The axiom of choice implies that every set can be well-orde ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Order Type
In mathematics, especially in set theory, two ordered sets and are said to have the same order type if they are order isomorphic, that is, if there exists a bijection (each element pairs with exactly one in the other set) f\colon X \to Y such that both and its inverse are monotonic (preserving orders of elements). In the special case when is totally ordered, monotonicity of already implies monotonicity of its inverse. One and the same set may be equipped with different orders. Since order-equivalence is an equivalence relation, it partitions the class of all ordered sets into equivalence classes. Notation If a set X has order type denoted \sigma, the order type of the reversed order, the dual of X, is denoted \sigma^. The order type of a well-ordered set is sometimes expressed as . Examples The order type of the integers and rationals is usually denoted \pi and \eta, respectively. The set of integers and the set of even integers have the same order type, becaus ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
O'Hare International Airport
Chicago O'Hare International Airport is the primary international airport serving Chicago, Illinois, United States, located on the city's Northwest Side, approximately northwest of the Chicago Loop, Loop business district. The airport is operated by the Chicago Department of Aviation and covering ., effective June 12, 2025. O'Hare has non-stop flights to 249 destinations in North America, South America, the Caribbean, Europe, Africa, Asia, the Middle East and the North Atlantic region as of Summer 2024. As of 2024, O'Hare is considered the most connected airport in the United States, and fifth most connected airport in the world. It is also the world's fourth busiest airport and 16th largest airport. Designed to be the successor to Chicago's Midway International Airport, itself once nicknamed the "busiest square mile in the world", O'Hare began as an airfield serving a Douglas Aircraft Company, Douglas manufacturing plant for C-54 military transports during World War II. It w ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Ord Mantell
The fictional universe of the ''Star Wars'' franchise features multiple planets and moons. While only the feature films and selected other works are considered canon to the franchise since the 2012 acquisition of Lucasfilm by The Walt Disney Company, some canon planets were first named or explored in works from the non-canon ''Star Wars'' expanded universe, now rebranded as ''Star Wars Legends''. In the theatrical ''Star Wars'' films, many scenes set on these planets and moons were filmed on location rather than on a sound stage. For example, the resort city of Canto Bight located on the planet Cantonica, seen in '' Star Wars: The Last Jedi'' (2017), was filmed in Dubrovnik, Croatia. ''Star Wars'' canon astrography The ''Star Wars'' galaxy contains several broad sub-regions. Their exact definitions fluctuated somewhat during the ''Legends'' continuity, but were later formally updated by the new canon continuity when Disney purchased Lucasfilm. The new canon map is ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
National Institutes Of Health
The National Institutes of Health (NIH) is the primary agency of the United States government responsible for biomedical and public health research. It was founded in 1887 and is part of the United States Department of Health and Human Services (HHS). Many NIH facilities are located in Bethesda, Maryland, and other nearby suburbs of the Washington metropolitan area, with other primary facilities in the Research Triangle Park in North Carolina and smaller satellite facilities located around the United States. The NIH conducts its scientific research through the NIH Intramural Research Program (IRP) and provides significant biomedical research funding to non-NIH research facilities through its Extramural Research Program. , the IRP had 1,200 principal investigators and more than 4,000 postdoctoral fellows in basic, translational, and clinical research, being the largest biomedical research institution in the world, while, as of 2003, the extramural arm provided 28% of biomedical ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Category Of Preordered Sets
In mathematics, the category PreOrd has preordered sets as objects and order-preserving functions as morphisms. This is a category because the composition of two order-preserving functions is order preserving and the identity map is order preserving. The monomorphisms in PreOrd are the injective order-preserving functions. The empty set (considered as a preordered set) is the initial object of PreOrd, and the terminal objects are precisely the singleton preordered sets. There are thus no zero objects in PreOrd. The categorical product in PreOrd is given by the product order on the cartesian product. We have a forgetful functor PreOrd → Set that assigns to each preordered set the underlying set, and to each order-preserving function the underlying function. This functor is faithful, and therefore PreOrd is a concrete category. This functor has a left adjoint (sending every set to that set equipped with the equality relation) and a right adjoint (sending every set to th ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Multiplicative Order
In number theory, given a positive integer ''n'' and an integer ''a'' coprime to ''n'', the multiplicative order of ''a'' modulo ''n'' is the smallest positive integer ''k'' such that a^k\ \equiv\ 1 \pmod n. In other words, the multiplicative order of ''a'' modulo ''n'' is the order of ''a'' in the multiplicative group of the units in the ring of the integers modulo ''n''. The order of ''a'' modulo ''n'' is sometimes written as \operatorname_n(a). Example The powers of 4 modulo 7 are as follows: : \begin 4^0 &= 1 &=0 \times 7 + 1 &\equiv 1\pmod7 \\ 4^1 &= 4 &=0 \times 7 + 4 &\equiv 4\pmod7 \\ 4^2 &= 16 &=2 \times 7 + 2 &\equiv 2\pmod7 \\ 4^3 &= 64 &=9 \times 7 + 1 &\equiv 1\pmod7 \\ 4^4 &= 256 &=36 \times 7 + 4 &\equiv 4\pmod7 \\ 4^5 &= 1024 &=146 \times 7 + 2 &\equiv 2\pmod7 \\ \vdots\end The smallest positive integer ''k'' such that 4''k'' ≡ 1 (mod 7) is 3, so the order of 4 (mod 7) is 3. Properties Even without knowledge that we are working in the multiplicative ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Fort Ord
Fort Ord is a former United States Army post on Monterey Bay on the Pacific Ocean coast in California, which closed in 1994 due to Base Realignment and Closure (BRAC) action. Most of the fort's land now makes up the Fort Ord National Monument, managed by the United States Bureau of Land Management as part of the National Conservation Lands, while a small portion remains an active military installation under Army control, designated the Ord Military Community. Before construction and official designation as a fort in 1940, the land was used as a maneuver area and field-artillery target range beginning in 1917. Fort Ord was considered one of the most attractive locations of any U.S. Army post, because of its proximity to the beach and California weather. The 7th Infantry Division (United States), 7th Infantry Division was its main garrison for many years. When Fort Ord was later converted to civilian use, space was set aside for the first nature reserve in the United States create ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Ord (Dragon Tales)
''Dragon Tales'' is an animated educational television, educational Fantasy fiction, fantasy children's television series created by Jim Coane and Ron Rodecker, developed by Coane, Wesley Eure, Jeffrey Scott, Cliff Ruby and Elana Lesser, and produced by the Children's Television Workshop (now known as Sesame Workshop), Columbia TriStar Television (now known as Sony Pictures Television) and Adelaide Productions. The series focuses on the adventures of two siblings, Emmy and Max, and their dragon friends Cassie, Ord, and Zak and Wheezie. The series began broadcasting on PBS on their newly-renamed PBS Kids block on September 6, 1999, with its final episode airing on April 11, 2005. The show aired reruns on the PBS Kids block (and sister channel Universal Kids, PBS Kids Sprout) up until August 31, 2010, when it was dropped entirely from the lineup. Yearim, Yearim Productions was responsible for the animation for all seasons (Sunwoo Entertainment and Wang Film Productions only did an ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Ord River
The Ord River is a river in the Kimberley (Western Australia), Kimberley region of Western Australia. The river's catchment covers . The lower Ord River and the confluence with Cambridge Gulf create the most northern estuarine environment in Western Australia. The Ord River Irrigation Scheme was built in stages during the 20th century. Australia's largest artificial lake by volume, Lake Argyle, was completed in 1972. The lower reaches of the river support an important wetland area known as the Ord River Floodplain, a protected area that contains numerous mangrove forests, lagoons, creeks, flats, and extensive floodplains. The traditional owners are the Miriwoong and Gajerrong peoples who have inhabited the area for thousands of years and know the Ord River as . In a letter to the Surveyor General, dated 12 October 1959, Louise Gardiner, Secretary of the Nomenclature Advisory Committee wrote: Cununurra'...means 'Black Soil'. It is the native name for Ord River. Perhaps it may ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Muir Of Ord
Muir of Ord () is a village in Easter Ross, in the Highland (council area), Highland council area of Scotland. It is situated near the western end of the Black Isle, about west of the city of Inverness and south of Dingwall. The village had a population of in and sits above sea level. The Scottish geologist Sir Roderick Murchison was born in the village in 1792. In September 2022, the village came to media attention when a local fish and chip shop owner uploaded a Facebook video celebrating the Death and state funeral of Elizabeth II, death of Queen Elizabeth II with a bottle of champagne. The owner was then chased away from the village by angry locals who vandalized the chip shop with eggs and tomato ketchup. History Named ''Tarradale'' until 1862, historically access to the village was limited by the natural obstacles of the River Beauly and the River Conon. This changed in 1814 with the construction of the Conon Bridge. Cattle drivers used the new routes to transport live ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Ord Publishing
Omniscriptum Publishing Group, formerly known as VDM Verlag Dr. Müller, is a German publishing group headquartered in Riga, Latvia. Founded in 2002 in Düsseldorf, its book production is based on print-to-order technology. The company publishes theses, research notes, and dissertations through its e-commerce bookstores. OmniScriptum is designated as non-academic by the Norwegian Scientific Index, and its subsidiary Lambert Academic Publishing has been described as a predatory vanity press which does "not apply the basic standards of academic publishing such as peer-review, editorial or proof-reading processes." The company also offers print-to order publishing for fiction authors. It previously specialized in publishing and selling Wikipedia articles, but has stated that the practice of publishing Wikipedia content ended in 2013. History The group's first publishing house was founded in Düsseldorf in 2002 by Wolfgang Philipp Müller and relocated to Saarbrücken in Augu ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
