1054 – Siward, Earl of Northumbria, invades Scotland and defeats Macbeth, King of Scotland, somewhere north of the Firth of Forth.
1189 – Friedrich Barbarossa arrives at Niš, the capital of Serbian King Stefan Nemanja, during the Third Crusade.
1202 – Georgian–Seljuk wars: At the Battle of Basian the Kingdom of Georgia defeats the Sultanate of Rum.
1214 – Battle of Bouvines: Philip II of France decisively defeats Imperial, English and Flemish armies, effectively ending John of England's Angevin Empire.
1299 – According to Edward Gibbon, Osman I invades the territory of Nicomedia for the first time, usually considered to be the founding day of the Ottoman state.
1302 – Battle of Bapheus: Decisive Ottoman victory over the Byzantines opening up Bithynia for Turkish conquest.
1549 – The Jesuit priest Francis Xavier's ship reaches Japan.
1663 – The English Parliament passes the second Navigation Act requiring that all goods bound for the American colonies have to be sent in English ships from English ports. After the Acts of Union 1707, Scotland would be included in the Act.
1689 – Glorious Revolution: The Battle of Killiecrankie is a victory for the Jacobites.
1694 – A Royal charter is granted to the Bank of England.
1714 – The Great Northern War: The first significant victory of the Russian Navy in the naval battle of Gangut against the Swedish Navy near the Hanko Peninsula.
1775 – Founding of the U.S. Army Medical Department: The Second Continental Congress passes legislation establishing "an hospital for an army consisting of 20,000 men."
1778 – American Revolution: First Battle of Ushant: British and French fleets fight to a standoff.
1789 – The first U.S. federal government agency, the Department of Foreign Affairs, is established (it will be later renamed Department of State).
1794 – French Revolution: Maximilien Robespierre is arrested after encouraging the execution of more than 17,000 "enemies of the Revolution".
1816 – Seminole Wars: The Battle of Negro Fort ends when a hot shot cannonball fired by US Navy Gunboat No.
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As of March 1 (O.S. February 17), when the Julian calendar acknowledged a leap day and the Gregorian calendar did not, the Julian calendar fell one day further behind, bringing the difference to 13 days until February 28 (O.S. February 15), 2100. The year 1900 also marked the Year of the Rat on the Chinese calendar. January 1900 January 2 – U.S. Secretary of State John Hay announces the Open Door Policy, to promote American trade with China. January 3 – The United States Census estimates the country's population to be about 70 million people.
January 1 - The Kingdom of Italy establishes Eritrea as its colony in the Horn of Africa. January 2 The steamship Persia is wrecked off Corsica; 130 lives are lost. Alice Sanger becomes the first female staffer in the White House. January 11 – 1890 British Ultimatum: The United Kingdom demands Portugal withdraw its forces from the land between the Portuguese colonies of Mozambique and Angola (most of present-day Zimbabwe and Zambia). January 15 – Ballet The Sleeping Beauty, with music by Tchaikovsky, is premiered at the Imperial Mariinsky Theatre in St.
This year is noted for the end of the First World War, on the eleventh hour of the eleventh day of the eleventh month, as well as for the Spanish flu pandemic that killed 50–100 million people worldwide. Below, the events of World War I have the "WWI" prefix. January 1918 January – 1918 flu pandemic: The "Spanish flu" (influenza) is first observed in Haskell County, Kansas. January 4 – The Finnish Declaration of Independence is recognized by Soviet Russia, Sweden, Germany and France. January 9 – Battle of Bear Valley: U.
The study of random walks finds many applications in computer science and communications. The goal of the course is to get familiar with the theory of random walks, and to get an overview of some appl