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USAMO
The United States of America Mathematical Olympiad (USAMO) is a highly selective high school mathematics competition held annually in the United States. Since its debut in 1972, it has served as the final round of the American Mathematics Competitions. In 2010, it split into the USAMO and the United States of America Junior Mathematical Olympiad (USAJMO). Top scorers on both six-question, nine-hour mathematical proof competitions are invited to join the Mathematical Olympiad Program to compete and train to represent the United States at the International Mathematical Olympiad. Eligibility In order to be eligible to take the USAMO, a participant must be either a U.S. citizen or a legal resident of the United States or Canada. Only US citizens and permanent residents could be invited to the USAMO until 2003, other students legally residing in the US can be invited since 2004. Starting from IMO 2022, only U.S. permanent residents and citizens may join the American IMO team. In a ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
American Mathematics Competitions
The American Mathematics Competitions (AMCs) are the first of a series of competitions in secondary school mathematics Mathematics is a field of study that discovers and organizes methods, Mathematical theory, theories and theorems that are developed and Mathematical proof, proved for the needs of empirical sciences and mathematics itself. There are many ar ... sponsored by the Mathematical Association of America (MAA) that determine the United States of America's team for the International Mathematical Olympiad (IMO). The selection process takes place over the course of roughly five stages. At the last stage, the US selects six members to form the IMO team. There are three AMC competitions held each year: * the AMC 8, for students under the age of 14.5 and in grades 8 and below * the AMC 10, for students under the age of 17.5 and in grades 10 and below * the AMC 12, for students under the age of 19.5 and in grades 12 and below The AMC 8 tests mathematics through the 8t ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
AHSME
The American Mathematics Competitions (AMCs) are the first of a series of competitions in secondary school mathematics sponsored by the Mathematical Association of America (MAA) that determine the United States of America's team for the International Mathematical Olympiad (IMO). The selection process takes place over the course of roughly five stages. At the last stage, the US selects six members to form the IMO team. There are three AMC competitions held each year: * the AMC 8, for students under the age of 14.5 and in grades 8 and below * the AMC 10, for students under the age of 17.5 and in grades 10 and below * the AMC 12, for students under the age of 19.5 and in grades 12 and below The AMC 8 tests mathematics through the 8th grade curriculum. Similarly, the AMC 10 and AMC 12 test mathematics through the 10th and 12th grade curriculum, respectively. Before the 1999-2000 academic year, the AMC 8 was known as the AJHSME (American Junior High School Mathematics Examination), an ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Mathematical Olympiad Program
The Mathematical Olympiad Program (abbreviated MOP; formerly called the Mathematical Olympiad Summer Program, abbreviated MOSP) is an intensive summer program sponsored by the Mathematical Association of America. The main purpose of MOP, held since 1974, is to select and train the six members of the U.S. team for the International Mathematical Olympiad (IMO). Selection Process Students qualify for the program by scoring highly on the United States of America Mathematical Olympiad (USAMO) or United States of America Junior Mathematical Olympiad (USAJMO). Before 2012, the top twelve American scorers from all grades formed the "black" group. The approximately eighteen next highest American scorers among students from 11th grade and below form the "blue" group. In 2004, the program was expanded to include approximately thirty of the highest-scoring American freshmen and sophomores each year, the "red" group; this was later split into two, forming the "green" group, which consists ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
American Invitational Mathematics Examination
The American Invitational Mathematics Examination (AIME) is a selective 15-question, 3-hour test given since 1983 to those who rank in the top 5% on the AMC 12 high school mathematics examination (formerly known as the AHSME), and starting in 2010, those who rank in the top 2.5% on the AMC 10. Two different versions of the test are administered, the AIME I and AIME II. However, qualifying students can only take one of these two competitions. The AIME is the second of two tests used to determine qualification for the United States Mathematical Olympiad (USAMO), the first being the AMC. The use of calculators is not allowed on the test, with only pencils, erasers, rulers, and compasses permitted. Format and scoring The competition consists of 15 questions of increasing difficulty, where each answer is an integer between 000 and 999 inclusive. Thus the competition effectively removes the element of chance afforded by a multiple-choice test while preserving the ease of automated ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Mathematics Competitions
Mathematics competitions or mathematical olympiads are competitive events where participants complete a mathematics, math test. These tests may require multiple choice or numeric answers, or a detailed written solution or proof. International mathematics competitions * Championnat International de Jeux Mathématiques et Logiques — for all ages, mainly for French-speaking countries, but participation is not limited by language. * China Girls Mathematical Olympiad (CGMO) — held annually for teams of girls representing different regions within China and a few other countries. * European Girls' Mathematical Olympiad (EGMO) — since April 2012 * Integration Bee — competition in integral calculus held in various institutions of higher learning in the United States and some other countries * International Mathematical Modeling Challenge — team contest for high school students * International Mathematical Olympiad (IMO) — the oldest international Olympiad, occurring annually sin ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
List Of Mathematics Competitions
Mathematics competitions or mathematical olympiads are competitive events where participants complete a math test. These tests may require multiple choice or numeric answers, or a detailed written solution or proof. International mathematics competitions * Championnat International de Jeux Mathématiques et Logiques — for all ages, mainly for French-speaking countries, but participation is not limited by language. * China Girls Mathematical Olympiad (CGMO) — held annually for teams of girls representing different regions within China and a few other countries. * European Girls' Mathematical Olympiad (EGMO) — since April 2012 * Integration Bee — competition in integral calculus held in various institutions of higher learning in the United States and some other countries * International Mathematical Modeling Challenge — team contest for high school students * International Mathematical Olympiad (IMO) — the oldest international Olympiad, occurring annually since 1959. ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
External Links
An internal link is a type of hyperlink on a web page to another page or resource, such as an image or document, on the same website or domain. It is the opposite of an external link, a link that directs a user to content that is outside its domain. Hyperlinks are considered either "external" or "internal" depending on their target or destination. Generally, a link to a page outside the same domain or website is considered external, whereas one that points at another section of the same web page or to another page of the same website or domain is considered internal. Both internal and external links allow users of the website to navigate to another web page or resource. These definitions become clouded, however, when the same organization operates multiple domains functioning as a single web experience, e.g. when a secure commerce website is used for purchasing things displayed on a non-secure website. In these cases, links that are "external" by the above definition can conce ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Game Theory
Game theory is the study of mathematical models of strategic interactions. It has applications in many fields of social science, and is used extensively in economics, logic, systems science and computer science. Initially, game theory addressed two-person zero-sum games, in which a participant's gains or losses are exactly balanced by the losses and gains of the other participant. In the 1950s, it was extended to the study of non zero-sum games, and was eventually applied to a wide range of Human behavior, behavioral relations. It is now an umbrella term for the science of rational Decision-making, decision making in humans, animals, and computers. Modern game theory began with the idea of mixed-strategy equilibria in two-person zero-sum games and its proof by John von Neumann. Von Neumann's original proof used the Brouwer fixed-point theorem on continuous mappings into compact convex sets, which became a standard method in game theory and mathematical economics. His paper was f ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Graph Theory
In mathematics and computer science, graph theory is the study of ''graph (discrete mathematics), graphs'', which are mathematical structures used to model pairwise relations between objects. A graph in this context is made up of ''Vertex (graph theory), vertices'' (also called ''nodes'' or ''points'') which are connected by ''Glossary of graph theory terms#edge, edges'' (also called ''arcs'', ''links'' or ''lines''). 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. Definitions Definitions in graph theory vary. The following are some of the more basic ways of defining graphs and related mathematical structures. Graph In one restricted but very common sense of the term, a graph is an ordered pair G=(V,E) comprising: * V, a Set (mathematics), set of vertices (also called nodes or points); * ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Number Theory
Number theory is a branch of pure mathematics devoted primarily to the study of the integers and arithmetic functions. Number theorists study prime numbers as well as the properties of mathematical objects constructed from integers (for example, rational numbers), or defined as generalizations of the integers (for example, algebraic integers). Integers can be considered either in themselves or as solutions to equations (Diophantine geometry). Questions in number theory can often be understood through the study of Complex analysis, analytical objects, such as the Riemann zeta function, that encode properties of the integers, primes or other number-theoretic objects in some fashion (analytic number theory). One may also study real numbers in relation to rational numbers, as for instance how irrational numbers can be approximated by fractions (Diophantine approximation). Number theory is one of the oldest branches of mathematics alongside geometry. One quirk of number theory is ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Combinatorics
Combinatorics is an area of mathematics primarily concerned with counting, both as a means and as an end to obtaining results, and certain properties of finite structures. It is closely related to many other areas of mathematics and has many applications ranging from logic to statistical physics and from evolutionary biology to computer science. Combinatorics is well known for the breadth of the problems it tackles. Combinatorial problems arise in many areas of pure mathematics, notably in algebra, probability theory, topology, and geometry, as well as in its many application areas. Many combinatorial questions have historically been considered in isolation, giving an ''ad hoc'' solution to a problem arising in some mathematical context. In the later twentieth century, however, powerful and general theoretical methods were developed, making combinatorics into an independent branch of mathematics in its own right. One of the oldest and most accessible parts of combinatorics ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
