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GCD Through Successive Subtractions
GCD may refer to: * Great-circle distance * GCD, Chinese Internet slang for the Chinese Communist Party () * General content descriptor, a wireless device file format * Geneva Consensus Declaration, a non-binding anti-abortion statement signed by a handful of nations * Global Cities Dialogue, an international development organisation * Grand Central Dispatch, a parallel computing framework * Grand Comics Database * Grant County Regional Airport, near John Day, Oregon, United States * Greatest common divisor ** Binary GCD algorithm ** Polynomial greatest common divisor ** Lehmer's GCD algorithm * Griffith College Dublin, in Dublin, Ireland * Yukulta language, spoken in Australia {{disambiguation ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Great-circle Distance
The great-circle distance, orthodromic distance, or spherical distance is the distance between two points on a sphere, measured along the great-circle arc between them. This arc is the shortest path between the two points on the surface of the sphere. (By comparison, the shortest path passing through the sphere's interior is the chord between the points.) On a curved surface, the concept of straight lines is replaced by a more general concept of geodesics, curves which are locally straight with respect to the surface. Geodesics on the sphere are great circles, circles whose center coincides with the center of the sphere. Any two distinct points on a sphere that are not antipodal (diametrically opposite) both lie on a unique great circle, which the points separate into two arcs; the length of the shorter arc is the great-circle distance between the points. This arc length is proportional to the central angle between the points, which if measured in radians can be scaled u ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Chinese Communist Party
The Communist Party of China (CPC), also translated into English as Chinese Communist Party (CCP), is the founding and One-party state, sole ruling party of the People's Republic of China (PRC). Founded in 1921, the CCP emerged victorious in the Chinese Civil War against the Kuomintang and Proclamation of the People's Republic of China, proclaimed the establishment of the PRC under the leadership of Mao Zedong in October 1949. Since then, the CCP has governed China and has had sole control over the People's Liberation Army (PLA). , the CCP has more than 99 million members, making it the List of largest political parties, second largest political party by membership in the world. In 1921, Chen Duxiu and Li Dazhao led the founding of the CCP with the help of the Far Eastern Bureau of the Communist Party of the Soviet Union, Russian Communist Party (Bolsheviks) and Far Eastern Bureau of the Communist International. Although the CCP aligned with the Kuomintang (KMT) during its initia ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
General Content Descriptor
A General Content Descriptor (GCD) is a file which describes downloads like ringtones and pictures to wireless devices. GCD's are plain text In computing, plain text is a loose term for data (e.g. file contents) that represent only characters of readable material but not its graphical representation nor other objects ( floating-point numbers, images, etc.). It may also include a lim ... files. They are required by many wireless carriers to install applications on devices. The name of the file will end with a ".gcd" extension. References {{Wireless-stub Computer file formats Mobile technology ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Geneva Consensus Declaration
The Geneva Consensus Declaration on Promoting Women's Health and Strengthening the Family is an anti-abortion international document created in 2020 and signed at that time by about 30 governments. The declaration "defends the unborn and reiterates the vital importance of the family." There are 40 signatories . It was initially cosponsored in 2020 by Brazil, Egypt, Hungary, Indonesia, Uganda, and the United States. Brazil eventually withdrew from the document and Guatemala was added as a cosponsor. Representatives from 34 countries signed the document on October 22, 2020. Burundi and Chad are among the most recent signatories. Document and history Initiated by U.S. Secretary of State Mike Pompeo, the document is not related to the United Nations' Geneva Consensus Foundation or to other Geneva-based institutions and was not signed in Geneva due to COVID-19 restrictions. Described as "Pompeo's project", the declaration was submitted by U.S. ambassador Kelly Craft to the UN Genera ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Global Cities Dialogue
The Global Cities Dialogue on Information Society (GCD), is a non-profit international association of Mayors and High Political Representatives (HPRs) who believe that the development of the Information Society should be for the benefit of all the citizens, communities and peoples of the world. They committed themselves to become actively involved in creating equal opportunities and access for all citizens built on the principle of sustainable development. History The GCD was launched on November 23, 1999 Helsinki City Hall by twelve founding members who decided to commit themselves to the development of the information society for the benefit of all regardless of race, social position, creed, gender or age. Their commitment started by signing the Declaration of Helsinki for a Global Cities Dialogue on the Information Society. Its current chairman is the mayor of Issy-les-Moulineaux (France), André Santini. The initiative was born while the elected representative became awa ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Grand Central Dispatch
Grand Central Dispatch (GCD or libdispatch) is a technology developed by Apple Inc. to optimize application support for systems with multi-core processors and other symmetric multiprocessing systems. It is an implementation of task parallelism based on the thread pool pattern. The fundamental idea is to move the management of the thread pool out of the hands of the developer, and closer to the operating system. The developer injects "work packages" into the pool oblivious of the pool's architecture. This model improves simplicity, portability and performance. GCD was first released with Mac OS X 10.6, and is also available with iOS 4 and above. The name "Grand Central Dispatch" is a reference to Grand Central Terminal. The source code for the library that provides the implementation of GCD's services, ''libdispatch'', was released by Apple under the Apache License on September 10, 2009. It has been ported to FreeBSD 8.1+, MidnightBSD 0.3+, Linux, and Solaris. Attempts in 20 ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Grand Comics Database
The Grand Comics Database (GCD) is an Internet-based project to build a database of comic book information through user contributions. The GCD project catalogues information on creator credits, story details, reprints, and other information useful to the comic book reader, comic collector, fan, and scholar. The GCD is a 501(c)(3) nonprofit organization incorporated in Arkansas. History One of the earliest published catalogues of comic books appeared in the 1960s, when Jerry Bails and Howard Keltner put together some projects to catalogue the comic books of the " Golden Age". These efforts were Bails' ''The Collector's Guide to the First Heroic Age of Comics'', and ''Howard Keltner's Index to Golden Age Comic Books'', and their collaboration on ''The Authoritative Index to DC Comics''. The next big step in organizing data about comic books was Robert Overstreet's '' Overstreet Comic Book Price Guide'', which is still being published. This guide is sometimes referred to as the ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Grant County Regional Airport
Grant County Regional Airport - GCRA (Ogilvie Field) is in Grant County, Oregon, a mile southwest of John Day, Oregon John Day is a city located approximately north of Canyon City, Oregon, Canyon City in Grant County, Oregon, United States, at the intersection of U.S. Routes U.S. Route 26 in Oregon, 26 and U.S. Route 395 (Oregon), 395. The city was named for the .... The National Plan of Integrated Airport Systems for 2011–2015 FAA airport categories, categorized it as a ''general aviation'' facility. Most U.S. airports use the same three-letter location identifier for the Federal Aviation Administration, FAA and International Air Transport Association, IATA, but this airport is GCD to the FAA and JDA to the IATA. Facilities The airport covers 335 acres (136 hectare, ha) at an elevation of 3,703 feet (1,129 m). It has two Asphalt concrete, asphalt runways: 17/35 is 5,224 by 60 feet (1,592 x 18 m) and 9/27 is 4,100 by 60 feet (1,250 x 18 m). In the year ending August 26, 2 ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Greatest Common Divisor
In mathematics, the greatest common divisor (GCD), also known as greatest common factor (GCF), of two or more integers, which are not all zero, is the largest positive integer that divides each of the integers. For two integers , , the greatest common divisor of and is denoted \gcd (x,y). For example, the GCD of 8 and 12 is 4, that is, . In the name "greatest common divisor", the adjective "greatest" may be replaced by "highest", and the word "divisor" may be replaced by "factor", so that other names include highest common factor, etc. Historically, other names for the same concept have included greatest common measure. This notion can be extended to polynomials (see ''Polynomial greatest common divisor'') and other commutative rings (see ' below). Overview Definition The ''greatest common divisor'' (GCD) of integers and , at least one of which is nonzero, is the greatest positive integer such that is a divisor of both and ; that is, there are integers and such that ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Binary GCD Algorithm
The binary GCD algorithm, also known as Stein's algorithm or the binary Euclidean algorithm, is an algorithm that computes the greatest common divisor (GCD) of two nonnegative integers. Stein's algorithm uses simpler arithmetic operations than the conventional Euclidean algorithm; it replaces division with arithmetic shifts, comparisons, and subtraction. Although the algorithm in its contemporary form was first published by the physicist and programmer Josef Stein in 1967, it was known by the 2nd century BCE, in ancient China. Algorithm The algorithm finds the GCD of two nonnegative numbers u and v by repeatedly applying these identities: # \gcd(u, 0) = u: everything divides zero, and u is the largest number that divides u. # \gcd(2u, 2v) = 2 \cdot \gcd(u, v): 2 is a common divisor. # \gcd(u, 2v) = \gcd(u, v) if u is odd: 2 is then not a common divisor. # \gcd(u, v) = \gcd(u, v - u) if u, v odd and u \leq v. As GCD is commutative (\gcd(u, v) = \gcd(v, u)), those identities st ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Polynomial Greatest Common Divisor
In algebra, the greatest common divisor (frequently abbreviated as GCD) of two polynomials is a polynomial, of the highest possible degree, that is a factor of both the two original polynomials. This concept is analogous to the greatest common divisor of two integers. In the important case of univariate polynomials over a field the polynomial GCD may be computed, like for the integer GCD, by the Euclidean algorithm using long division. The polynomial GCD is defined only up to the multiplication by an invertible constant. The similarity between the integer GCD and the polynomial GCD allows extending to univariate polynomials all the properties that may be deduced from the Euclidean algorithm and Euclidean division. Moreover, the polynomial GCD has specific properties that make it a fundamental notion in various areas of algebra. Typically, the roots of the GCD of two polynomials are the common roots of the two polynomials, and this provides information on the roots without c ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Lehmer's GCD Algorithm
Lehmer's GCD algorithm, named after Derrick Henry Lehmer, is a fast GCD algorithm, an improvement on the simpler but slower Euclidean algorithm. It is mainly used for big integers that have a representation as a string of digits relative to some chosen numeral system base, say ''β'' = 1000 or ''β'' = 232. Algorithm Lehmer noted that most of the quotients from each step of the division part of the standard algorithm are small. (For example, Knuth observed that the quotients 1, 2, and 3 comprise 67.7% of all quotients. Knuth, ''The Art of Computer Programming vol 2 "Seminumerical algorithms"'', chapter 4.5.3 Theorem E.) Those small quotients can be identified from only a few leading digits. Thus the algorithm starts by splitting off those leading digits and computing the sequence of quotients as long as it is correct. Say we want to obtain the GCD of the two integers ''a'' and ''b''. Let ''a'' ≥ ''b''. * If ''b'' contains only one digit (in the chosen base, say '' ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
