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Hamilton made outstanding contributions to classical mechanics and optics. His first discovery was in an early paper that he communicated in 1823 to John Brinkley, who presented it under the title of Caustics in 1824 to the Royal Irish Academy. It was referred as usual to a committee, which recommended further development and simplification ...
In the same song, a nine-year-old Philip Hamilton claims, "I have a sister, but I want a little brother"; Philip already had two of his five younger brothers when he was age 9: Alexander Hamilton Jr. and James Alexander Hamilton. Miranda jokefully notes in Hamilton: The Revolution, "And, boy, did he get little brothers! Five of them, actually ...
Hamilton was born on January 11, 1755 or 1757, [a] in Charlestown, the capital of Nevis in the British Leeward Islands, where he spent the early part of his childhood. Hamilton and his older brother, James Jr., [7] were born out of wedlock to Rachel Lavien (née Faucette), [b] a married woman of half-British and half-French Huguenot descent, [c ...
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The son of a dealer in old books, Hamilton was born in London. He taught himself from books in his father's shop, acquiring a knowledge of languages and music. He translated major works in foreign languages, as well as compiling instructional and music theory books. [1] Hamilton sold his copyrights, drank, and died in poverty on 2 August 1845. [2]
Hamilton's equations have another advantage over Lagrange's equations: if a system has a symmetry, so that some coordinate does not occur in the Hamiltonian (i.e. a cyclic coordinate), the corresponding momentum coordinate is conserved along each trajectory, and that coordinate can be reduced to a constant in the other equations of the set.
[9] [10] [n 1] Since the topic's resurgence, the principal source of contention is divided into three perspectives: whether music began as a kind of proto-language (a result of adaptation) that led to language; if music is a spandrel (a phenotypic by-product of evolution) that was the result of language; or if music and language both derived ...
During the 19th century, the focus on sheet music had restricted access to new music to middle and upper-class people who could read music and who owned pianos and other instruments. Radios and record players allowed lower-income people, who could not afford an opera or symphony concert ticket, to hear this music.