In mathematics, an automorphism is an isomorphism from a mathematical object to itself. It is, in some sense, a symmetry of the object, and a way of mapping the object to itself while preserving all of its structure. The set of all automorphisms of an object forms a group, called the automorphism group. It is, loosely speaking, the symmetry group of the object.
Alexander Hamilton was an American statesman and one of the Founding Fathers of the United States. He was an influential interpreter and promoter of the U.S. Constitution, as well as the founder of the nation's financial system, the Federalist Party, the United States Coast Guard, and the New York Post newspaper. As the first Secretary of the Treasury, Hamilton was the main author of the economic policies of George Washington's administration. He took the lead in the Federal government's funding of the states' debts, as well as establishing a national bank, a system of tariffs, and friendly trade relations with Britain. His vision included a strong central government led by a vigorous executive branch, a strong commercial economy, a national bank and support for manufacturing, and a strong military. Thomas Jefferson was his leading opponent, arguing for agrarianism and smaller government.
In mathematics, the quaternions are a number system that extends the complex numbers. They were first described by Irish mathematician William Rowan Hamilton in 1843 and applied to mechanics in three-dimensional space. A feature of quaternions is that multiplication of two quaternions is noncommutative. Hamilton defined a quaternion as the quotient of two directed lines in a three-dimensional space or equivalently as the quotient of two vectors.
The dicotyledons, also known as dicots, are one of the two groups into which all the flowering plants or angiosperms were formerly divided. The name refers to one of the typical characteristics of the group, namely that the seed has two embryonic leaves or cotyledons. There are around 200,000 species within this group. The other group of flowering plants were called monocotyledons or monocots, typically having one cotyledon. Historically, these two groups formed the two divisions of the flowering plants.
In group theory, a Dedekind group is a group G such that every subgroup of G is normal.
All abelian groups are Dedekind groups.
A non-abelian Dedekind group is called a Hamiltonian group.
Lewis Carl Davidson Hamilton is a British racing driver who races in Formula One for Mercedes-AMG Petronas Motorsport. A five-time Formula One World Champion, he is often considered the best driver of his generation and widely regarded as one of the greatest drivers in the history of the sport. He won his first World Championship title with McLaren in 2008, then moved to Mercedes where he won back-to-back titles in 2014 and 2015 before winning back-to-back titles again in 2017 and 2018. The most successful British driver in the history of the sport, Hamilton has more World Championship titles (5) and more race victories (74) than any other British driver in Formula One. He also holds records for the all-time most career points (3,061), the most wins at different circuits (26), the all-time most pole positions (84) and the most grand slams in a season (3).
In abstract algebra, the biquaternions are the numbers w + x i + y j + z k, where w, x, y, and z are complex numbers, or variants thereof, and the elements of {1, i, j, k} multiply as in the quaternion group and commute with their coefficients. There are three types of biquaternions corresponding to complex numbers and the variations thereof:
Amidines are a class of oxoacid derivatives.
Hamilton Field was a United States Air Force base, which was inactivated in 1973, decommissioned in 1974, and put into a caretaker status with the Air Force Reserves until 1976. It was transferred to the United States Army in 1983 and was designated an Army Airfield until its BRAC closure in 1988. It is located along the western shore of San Pablo Bay in the southern portion of Novato, in Marin County, California.
The Hamilton Spectator, founded in 1846, is a newspaper published every day but Sunday in Hamilton, Ontario, Canada.
Tartarus Colles are a group of knobby hills in the northern plains of Mars.
Universal Systems Language (USL) is a modeling language and formal method for the specification and design of software and other complex systems. It was designed by Margaret Hamilton based on her experiences writing flight software for the Apollo program. The language is implemented through the 001 Tool Suite software by Hamilton Technologies, Inc. USL evolved from 001AXES which in turn evolved from AXES all of which are based on Hamilton's axioms of control. The 001 Tool Suite uses the preventative concept of Development Before the Fact (DBTF) for its life-cycle development process. DBTF eliminates errors as early as possible during the development process removing the need to look for errors after-the-fact.
The 566th Air Defense Group is a disbanded unit of the United States Air Force. Its last assignment was with the 28th Air Division at Hamilton Air Force Base, California where it was inactivated on 18 August 1955. The group was originally activated as a support unit for a combat group at the end of World War II but never deployed before it was inactivated in 1945.
The McMaster University Medical Centre (MUMC) is a major Ontario hospital with three key services: McMaster Children's Hospital, Women's Health Centre and Adult Outpatient Services. It is a teaching hospital in Hamilton, Ontario, Canada. It is a part of McMaster University, but operated by Hamilton Health Sciences. The hospital was recently ranked 2nd in Canada for research according to Research Infosource Inc.
The Chedoke Hospital was an non-acute care hospital in Hamilton, Canada. It was operated by Hamilton Health Sciences.
In 1906 the Mountain Sanatorium was founded to provide care for people from Hamilton and the surrounding communities who were ill with tuberculosis.
The 2016 FIA Formula One World Championship was the 70th season of the Fédération Internationale de l'Automobile (FIA)'s Formula One motor racing. It featured the 67th Formula One World Championship, a motor racing championship for Formula One cars which is recognised by the sport's governing body, the FIA, as the highest class of competition for open-wheel racing cars. Teams and drivers took part in twenty-one Grands Prix—making for the longest season in the sport's history—starting in Australia on 20 March and finishing in Abu Dhabi on 27 November as they competed for the World Drivers' and World Constructors' championships.
Greenwood/Hamilton is a neighborhood located within the city of Trenton in Mercer County, New Jersey, United States.
Hamilton: An American Musical is a sung-and-rapped through musical about the life of American Founding Father Alexander Hamilton, with music, lyrics and book by Lin-Manuel Miranda, inspired by the 2004 biography Alexander Hamilton by historian Ron Chernow. Incorporating hip hop, R&B, pop, soul, traditional-style show tunes, and color-conscious casting of non-white actors as the Founding Fathers and other historical figures, the musical achieved both critical acclaim and box office success.
