473 – Gundobad (nephew of Ricimer) nominates Glycerius as emperor of the Western Roman Empire.
724 – Empress Genshō abdicates the throne in favor of her nephew Shōmu who becomes emperor of Japan.
1575 – Mughal Emperor Akbar defeats Sultan of Bengal Daud Khan Karrani's army at the Battle of Tukaroi.
1585 – The Olympic Theatre, designed by Andrea Palladio, is inaugurated in Vicenza.
1776 – American Revolutionary War: The first amphibious landing of the United States Marine Corps begins the Battle of Nassau.
1779 – American Revolutionary War: The Continental Army is routed at the Battle of Brier Creek near Savannah, Georgia.
1799 – The Russo-Ottoman siege of Corfu ends with the surrender of the French garrison.
1820 – The U.S. Congress passes the Missouri Compromise.
1845 – Florida is admitted as the 27th U.S. state.
1849 – The Territory of Minnesota is created.
1857 – Second Opium War: France and the United Kingdom declare war on China.
1859 – The two-day Great Slave Auction, the largest such auction in United States history, concludes.
1861 – Alexander II of Russia signs the Emancipation Manifesto, freeing serfs.
1873 – Censorship in the United States: The U.S. Congress enacts the Comstock Law, making it illegal to send any "obscene literature and articles of immoral use" through the mail.
1875 – The first ever organized indoor game of ice hockey is played in Montreal, Quebec, Canada as recorded in the Montreal Gazette.
1878 – The Russo-Turkish War ends with Bulgaria regaining its independence from the Ottoman Empire according to the Treaty of San Stefano.
1891 – Shoshone National Forest is established as the first national forest in the US and world.
1910 – Rockefeller Foundation: John D. Rockefeller Jr. announces his retirement from managing his businesses so that he can devote all his time to philanthropy.
1913 – Thousands of women march in the Woman Suffrage Procession in Washington, D.C.
1918 – Russia signs the Treaty of Brest-Litovsk, agreeing to withdraw from World War I, and conceding German control of the Baltic States, Belarus and Ukraine.
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The course covers several exact, approximate, and numerical methods to solve the time-dependent molecular Schrödinger equation, and applications including calculations of molecular electronic spectra.
Explores phase space, the Poisson bracket, and Hamiltonian mechanics concepts.
Explores division polynomials, theorems, spectral values, and minimal polynomials in endomorphisms and vector spaces.
Explores eigenvalues and minimal polynomial, emphasizing their importance in linear algebra.
January 2 The Standard Oil Trust is secretly created in the United States to control multiple corporations set up by John D. Rockefeller and his associates. Irish-born author Oscar Wilde arrives in the United States for an extended lecture tour; when asked by a customs official if he has anything to declare, he replies "I have nothing to declare but my genius" according to later tradition. January 5 – Charles J. Guiteau is found guilty of the assassination of James A.
473 – Gundobad (nephew of Ricimer) nominates Glycerius as emperor of the Western Roman Empire. 724 – Empress Genshō abdicates the throne in favor of her nephew Shōmu who becomes emperor of Japan. 1575 – Mughal Emperor Akbar defeats Sultan of Bengal Daud Khan Karrani's army at the Battle of Tukaroi. 1585 – The Olympic Theatre, designed by Andrea Palladio, is inaugurated in Vicenza. 1776 – American Revolutionary War: The first amphibious landing of the United States Marine Corps begins the Battle of Nassau.
January 1 A strike of 500 Hungarian steel workers occurs; 3,000 men are out of work as a consequence. Germany takes formal possession of its new African territories. January 4 – The Earl of Zetland issues a declaration regarding the famine in the western counties of Ireland. January 5 The Australian shearers' strike, that leads indirectly to the foundation of the Australian Labor Party, begins. A fight between the United States and Indians breaks out near Pine Ridge agency.