Alexander Hamilton (January 11, 1755 or 1757 July 12, 1804) was an American military officer, statesman, and Founding Father who served as the first Secretary of Treasury from 1789 to 1795 during George Washington's presidency.
Born out of wedlock in Charlestown, Nevis, Hamilton was orphaned as a child and taken in by a prosperous merchant. He pursued his education in New York City where, despite his young age, he was a prolific and widely read pamphleteer advocating for the American revolutionary cause, though an anonymous one. He then served as an artillery officer in the American Revolutionary War, where he saw military action against the British in the New York and New Jersey campaign, served for years as an aide to General George Washington, and helped secure American victory at the climactic Siege of Yorktown. After the Revolutionary War, Hamilton served as a delegate from New York to the Congress of the Confederation in Philadelphia. He resigned to practice law and founded the Bank of New York. In 1786, Hamilton led the Annapolis Convention to replace the Articles of Confederation with the Constitution of the United States, which he helped ratify by writing 51 of the 85 installments of The Federalist Papers.
As a trusted member of President Washington's first cabinet, Hamilton served as the first U.S. Secretary of the Treasury. He envisioned a central government led by an energetic president, a strong national defense, and an industrial economy. He successfully argued that the implied powers of the Constitution provided the legal authority to fund the national debt, assume the states' debts, and create the First Bank of the United States, which was funded by a tariff on imports and a whiskey tax. He opposed American entanglement with the succession of unstable French Revolutionary governments and advocated in support of the Jay Treaty under which the U.S. resumed friendly trade relations with the British Empire. He also persuaded Congress to establish the Revenue Cutter Service.
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The United States of America (U.S.A. or USA), commonly known as the United States (U.S. or US) or America, is a country primarily located in North America and consisting of 50 states, a federal district, five major unincorporated territories, nine Minor Outlying Islands, and 326 Indian reservations. It is the world's third-largest country by both land and total area. It shares land borders with Canada to its north and with Mexico to its south and has maritime borders with the Bahamas, Cuba, Russia, and other nations.
The Federalist Party was a conservative and nationalist American political party and the first political party in the United States. Under Alexander Hamilton, it dominated the national government from 1789 to 1801. Defeated by the Democratic-Republican Party in 1800, it became a minority party while keeping its stronghold in New England and made a brief resurgence by opposing the War of 1812. It then collapsed with its last presidential candidate in 1816. Remnants lasted for a few years afterwards.
A Tory (ˈtɔːri) is an individual who supports a political philosophy known as Toryism, based on a British version of traditionalist conservatism which upholds the established social order as it has evolved through the history of Great Britain. The Tory ethos has been summed up with the phrase "God, Queen, and Country". Tories are monarchists, were historically of a high church Anglican religious heritage, and were opposed to the liberalism of the Whig party.
The presence of focus-focus singularities in semi-toric integrables Hamiltonian systems is one of the reasons why there cannot exist global Action-Angle coordinates on such systems. At focus-focus critical points, the Liouville-Arnold-Mineur theorem does n ...