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[ "Byzantium", "Istanbul", "Constantinople", "Rome" ]
Constantine also permanently moved the capital of the empire from Rome to the city of Byzantium (modern-day Istanbul) which was renamed Constantinople in his honour in 330 CE.
[ "risk factors", "tobacco smoking", "obesity", "high blood pressure", "high blood sugar", "physical inactivity", "alcohol consumption" ]
The most harmful risk factors were poor diet, tobacco smoking, obesity, high blood pressure, high blood sugar, physical inactivity, and alcohol consumption.
[ "Carolingian Renaissance", "Renaissance" ]
The term "Europe" is first used for a cultural sphere in the Carolingian Renaissance of the 9th century.
[ "Mussolini had been executed", "Italian resistance movement", "de" ]
Later that afternoon, Hitler was informed that Mussolini had been executed by the Italian resistance movement on the previous day; this likely increased his determination to avoid capture.
[ "peephole viewing of motion picture devices", "Lagos", "Palaver", "Geoffrey Barkas", "Fincho", "shot in colour", "cinema", "films", "Nigeria" ]
Film as a medium first arrived in Nigeria in the late 19th century, in the form of peephole viewing of motion picture devices. These were soon replaced in the early 20th century with improved motion picture exhibition devices, with the first set of films screened at the Glover Memorial Hall in Lagos from 12 to 22 August 1903. The earliest feature film made in Nigeria is 1926's Palaver produced by Geoffrey Barkas; the film was also the first film ever to feature Nigerian actors in a speaking role. As of 1954, mobile cinema vans played to at least 3.5 million people in Nigeria, and films being produced by the Nigerian Film Unit were screened for free at the 44 available cinemas. The first film entirely copyrighted to the Nigerian Film unit is Fincho (1957) by Sam Zebba; which is also the first Nigerian film to be shot in colour.
[ "Hebrew University of Jerusalem" ]
Einstein was a figurehead leader in the establishment of the Hebrew University of Jerusalem, which opened in 1925.
[ "Gordon Plotkin", "Ehud Shapiro" ]
Gordon Plotkin and Ehud Shapiro laid the initial theoretical foundation for inductive machine learning in a logical setting.
[ "Berlin", "German Socialist Party", "Hermann Esser", "de", "Munich", "Nazi Party" ]
In June 1921, while Hitler and Eckart were on a fundraising trip to Berlin, a mutiny broke out within the Nazi Party in Munich. Members of its executive committee wanted to merge with the Nuremberg-based German Socialist Party (DSP). Hitler returned to Munich on 11 July and angrily tendered his resignation. The committee members realised that the resignation of their leading public figure and speaker would mean the end of the party. Hitler announced he would rejoin on the condition that he would replace Drexler as party chairman, and that the party headquarters would remain in Munich. The committee agreed, and he rejoined the party on 26 July as member 3,680. Hitler continued to face some opposition within the Nazi Party. Opponents of Hitler in the leadership had Hermann Esser expelled from the party, and they printed 3,000 copies of a pamphlet attacking Hitler as a traitor to the party. In the following days, Hitler spoke to several large audiences and defended himself and Esser, to thunderous applause. His strategy proved successful, and at a special party congress on 29 July, he was granted absolute power as party chairman, succeeding Drexler, by a vote of 533 to 1.
[ "Peter Kropotkin", "anarchism", "Chinese anarchists", "Cai Yuanpei", "social revolution", "women's equality", "Mouvement Travail-Études", "Hunan", "Marxism", "Peking University" ]
Becoming "more and more radical", Mao was initially influenced by Peter Kropotkin's anarchism, which was the most prominent radical doctrine of the day. Chinese anarchists, such as Cai Yuanpei, Chancellor of Peking University, called for complete social revolution in social relations, family structure, and women's equality, rather than the simple change in the form of government called for by earlier revolutionaries. He joined Li's Study Group and "developed rapidly toward Marxism" during the winter of 1919. Paid a low wage, Mao lived in a cramped room with seven other Hunanese students, but believed that Beijing's beauty offered "vivid and living compensation". A number of his friends took advantage of the anarchist-organised Mouvement Travail-Études to study in France, but Mao declined, perhaps because of an inability to learn languages. Mao raised funds for the movement, however.
[ "Ronald Reagan", "New Deal" ]
One factor in the revisiting of these issues in later decades was the election of Ronald Reagan in 1980, who opposed the New Deal.
[ "Rashid Ali al-Gaylani", "Prime Minister of Iraq", "Italian", "Italy", "German" ]
Anti-British sentiments were widespread in Iraq prior to 1941. Rashid Ali al-Gaylani was appointed Prime Minister of Iraq in 1940. When Italy declared war on Britain, Rashid Ali had maintained ties with the Italians. This angered the British government. In December 1940, as relations with the British worsened, Rashid Ali formally requested weapons and military supplies from Germany. In January 1941 Rashid Ali was forced to resign as a result of British pressure.
[ "Thomas C. Hart", "Asiatic Fleet" ]
Late that year, Admiral Thomas C. Hart, commander of the Asiatic Fleet, was given orders to that effect.
[ "double-headed eagle", "coat of arms", "heraldry" ]
Russia's national symbol, the double-headed eagle, dates back to the Tsardom period, and is featured in its coat of arms and heraldry.
[ "Alan Turing" ]
The concept of a neural network appears to have first been proposed by Alan Turing in his 1948 paper Intelligent Machinery in which he called them "B-type unorganised machines".
[ "balance of power", "Concert of Europe", "Europe" ]
For much of the 19th century, the major European powers maintained a tenuous balance of power among themselves, known as the Concert of Europe.
[ "universe" ]
With Eddington's eclipse observations widely reported not just in academic journals but by the popular press as well, Einstein became "perhaps the world's first celebrity scientist", a genius who had shattered a paradigm that had been basic to physicists' understanding of the universe since the seventeenth century.
[ "Politburo" ]
By late 1937, all remnants of collective leadership were gone from the Politburo, which was controlled entirely by Stalin.
[ "LINC" ]
Designed in 1962, the LINC was an early laboratory computer especially designed for interactive use with laboratory instruments. Some of the early LINC computers were assembled from kits of parts by the end users.
[ "inland waterways", "fifth-longest" ]
The country's inland waterways are the world's fifth-longest, and total 41,009 km (25,482 mi).
[ "its armed forces", "Operation Silver Fox", "Siege of Leningrad", "German" ]
Finland maintained command of its armed forces and pursued war objectives independently of Germany. Germans and Finns did work closely together during Operation Silver Fox, a joint offensive against Murmansk. Finland took part in the Siege of Leningrad. Finland was one of Germany's most important allies in its war with the USSR.
[ "Protectorate of Bohemia and Moravia" ]
The Protectorate of Bohemia and Moravia was created from the dismemberment of Czechoslovakia.
[ "Heinrich Himmler", "governor-general", "ethnic cleansing", "de", "Hans Frank" ]
Another dispute pitched one side represented by Heinrich Himmler and Greiser, who championed ethnic cleansing in Poland, against another represented by Göring and Hans Frank (governor-general of occupied Poland), who called for turning Poland into the "granary" of the Reich.
[ "living organisms", "bacteria", "quantized light" ]
In October 2018, physicists reported producing quantum entanglement using living organisms, particularly between photosynthetic molecules within living bacteria and quantized light.
[ "program", "de" ]
Once told to run this program, the computer will perform the repetitive addition task without further human intervention. It will almost never make a mistake and a modern PC can complete the task in a fraction of a second.
[ "J. Robert Oppenheimer", "Los Alamos Laboratory", "New Mexico", "gun-type fission weapon", "Little Boy", "implosion-type nuclear weapon", "Fat Man", "plutonium-239", "uranium-235", "Manhattan Project", "plutonium" ]
The work of the Manhattan Project took place at dozens of sites across the United States, and even some outside of its borders. It would ultimately cost over US$2 billion (equivalent to about $24 billion in 2021) and employ over 125,000 people simultaneously at its peak. Groves appointed J. Robert Oppenheimer to organize and head the project's Los Alamos Laboratory in New Mexico, where bomb design work was carried out. Two different types of bombs were eventually developed: a gun-type fission weapon that used uranium-235, called Little Boy, and a more complex implosion-type nuclear weapon that used plutonium-239, called Fat Man.
[ "Kuomintang", "Republic of China" ]
Wang's insistence on his regime being the true Nationalist government of China and in replicating all the symbols of the Kuomintang led to frequent conflicts with the Japanese, the most prominent being the issue of the regime's flag, which was identical to that of the Republic of China.
[ "Pan-Asianism", "West" ]
Japan invoked themes of Pan-Asianism and said that the Asian people needed to be free from Western influence.
[ "Ta Kung Pao", "feminist", "Karl Kautsky", "The Communist Manifesto", "Yang Changji", "socialism", "Hunan", "Changsha", "Confucianism" ]
Zhang banned the Student Association, but Mao continued publishing after assuming editorship of the liberal magazine New Hunan (Xin Hunan) and offered articles in popular local newspaper Ta Kung Pao. Several of these advocated feminist views, calling for the liberation of women in Chinese society; Mao was influenced by his forced arranged-marriage. In fall 1919, Mao organized a seminar in Changsha studying economic and political issues, as well as ways to unite the people, the feasibility of socialism, and issues regarding Confucianism. During this period, Mao involved himself in political work with manual laborers, setting up night schools and trade unions. In December 1919, Mao helped organise a general strike in Hunan, securing some concessions, but Mao and other student leaders felt threatened by Zhang, and Mao returned to Beijing, visiting the terminally ill Yang Changji. Mao found that his articles had achieved a level of fame among the revolutionary movement, and set about soliciting support in overthrowing Zhang. Coming across newly translated Marxist literature by Thomas Kirkup, Karl Kautsky, and Marx and Engels—notably The Communist Manifesto—he came under their increasing influence, but was still eclectic in his views.
[ "fresh water" ]
Russia, home of over 100,000 rivers, has one of the world's largest surface water resources, with its lakes containing approximately one-quarter of the world's liquid fresh water.
[ "Milan", "revolution" ]
In Milan, in May 1917, Bolshevik revolutionaries organised and engaged in rioting calling for an end to the war, and managed to close down factories and stop public transportation.
[ "progressive", "South" ]
Roosevelt rallied the progressive supporters of the Wilson administration while also appealing to many conservatives, establishing himself as the leading candidate in the South and West.
[ "Cold War", "arms race", "proxy wars", "between", "proxy war", "political" ]
The long period of political tensions and military competition between them, the Cold War, would be accompanied by an unprecedented arms race and number of proxy wars throughout the world.
[ "Ryuichi Shimoda v. The State", "obiter dictum", "Treaty of San Francisco", "Nagasaki", "Hiroshima" ]
In 1963 the bombings were subjected to judicial review in Ryuichi Shimoda v. The State. The District Court of Tokyo ruled the use of nuclear weapons in warfare wasn't illegal, but held in its obiter dictum that the atomic bombings of both Hiroshima and Nagasaki were illegal under international law as it existed at that time, as an indiscriminate bombardment of undefended cities. The court denied the appellants compensation on the grounds that the Japanese government had waived the right for reparations from the U.S. government under the Treaty of San Francisco.
[ "AMD", "64-bit", "microprocessor", "Opteron", "Athlon 64", "IBM", "PowerPC 970", "Power Mac G5", "Intel", "Xeon", "Pentium 4", "servers", "workstations", "PowerPC", "workstation" ]
In 2003, AMD shipped its 64-bit based microprocessor line for desktop computers, Opteron and Athlon 64. Also in 2003, IBM released the 64-bit based PowerPC 970 for Apple's high-end Power Mac G5 systems. Intel, in 2004, reacted to AMD's success with 64-bit based processors, releasing updated versions of their Xeon and Pentium 4 lines. 64-bit processors were first common in high end systems, servers and workstations, and then gradually replaced 32-bit processors in consumer desktop and laptop systems since about 2005.
[ "breed", "water dog" ]
The Poodle, called the Pudel in German and the Caniche in French, is a breed of water dog. The breed is divided into four varieties based on size, the Standard Poodle, Medium Poodle, Miniature Poodle and Toy Poodle, although the Medium Poodle is not universally recognised. They have a distinctive thick, curly coat that comes in many colors and patterns, with only solid colors recognized by breed registries. Poodles are active and intelligent, and are particularly able to learn from humans. Poodles tend to live 10–18 years, with smaller varieties tending to live longer than larger ones.
[ "an offensive into the Arakan region" ]
The first, an offensive into the Arakan region in late 1942, went disastrously, forcing a retreat back to India by May 1943.
[ "free-ranging dogs' potential", "sympatric", "feral" ]
Although dogs are the most abundant and widely distributed terrestrial carnivores, feral and free-ranging dogs' potential to compete with other large carnivores is limited by their strong association with humans. For example, a review of the studies in dogs' competitive effects on sympatric carnivores did not mention any research on competition between dogs and wolves. Although wolves are known to kill dogs, they tend to live in pairs or in small packs in areas where they are highly persecuted, giving them a disadvantage facing large dog groups.
[ "experiments", "or" ]
Also, as shown in laboratory experiments, people care about fairness and sometimes altruism, not just personal gain.
[ "Radio Rossii", "Vesti FM", "Echo of Moscow", "Radio Mayak", "Russkoye Radio" ]
Among the 3,000 licensed radio stations nationwide, notable ones include Radio Rossii, Vesti FM, Echo of Moscow, Radio Mayak, and Russkoye Radio.
[ "telegraph", "A Treatise on Electricity and Magnetism", "field theory", "differential geometry", "manifolds", "Lorentz transformations", "history of Lorentz transformations", "differential", "geometry" ]
The telegraph required an explanatory system, and the 1873 publication of A Treatise on Electricity and Magnetism instituted a field theory of forces and required differential geometry for expression. Linear algebra is flat differential geometry and serves in tangent spaces to manifolds. Electromagnetic symmetries of spacetime are expressed by the Lorentz transformations, and much of the history of linear algebra is the history of Lorentz transformations.
[ "My Early Life" ]
Hoping that the Labour government could be ousted, he gained Baldwin's approval to work towards establishing a Conservative-Liberal coalition, although many Liberals were reluctant. In October 1930, after his return from a trip to North America, Churchill published his autobiography, My Early Life, which sold well and was translated into multiple languages.
[ "Germany" ]
The Revolution of November was followed in December by an armistice and negotiations with Germany.
[ "expanding eastward", "Soviet Union", "Western Europe" ]
The EU originated in Western Europe but has been expanding eastward since the fall of the Soviet Union in 1991.
[ "Western Roman Empire", "culture that developed in its place", "fall of the Western Roman Empire" ]
However, following the fall of the Western Roman Empire, the culture that developed in its place, linked to Latin and the Catholic church, began to associate itself with the concept of "Europe".
[ "Republican Party", "Senate election", "Senate" ]
In November 1918, the Republican Party won the Senate election by a slim margin.
[ "Istanbul", "Asia", "art" ]
While Istanbul has the highest total city population, it lies partly in Asia.
[ "Speaker of the Chamber of Deputies", "Prime Minister", "Chamber of Deputies", "President of the Senate", "Chamber", "Senate" ]
In the case when the President is unable to perform his/her duties or if the presidency becomes vacant for any reason, the duties are divided between the Speaker of the Chamber of Deputies and the Prime Minister. Should the Chamber of Deputies be dissolved at the time, the duties which normally fall to the Chamber's speaker fall to the President of the Senate, who also assumes the President's responsibility for calling elections for the Chamber even when the Chamber is not dissolved.
[ "Nina Gold", "pilot", "Catelyn Stark", "Jennifer Ehle", "Tamzin Merchant", "Kit Harington", "Jon Snow", "Michelle Fairley", "Viserys Targaryen", "Jack Gleeson", "Catelyn", "Emilia Clarke", "Stark", "Daenerys Targaryen", "Peter Dinklage", "Joffrey", "Mark Addy", "Harry Lloyd", "Sean Bean" ]
Nina Gold and Robert Sterne were the series' primary casting directors. Through a process of auditions and readings, the main cast was assembled. The only exceptions were Peter Dinklage and Sean Bean, whom the writers wanted from the start; they were announced as joining the pilot in 2009. Other actors signed for the pilot were Kit Harington as Jon Snow, Jack Gleeson as Joffrey Baratheon, Harry Lloyd as Viserys Targaryen, and Mark Addy as Robert Baratheon. According to Benioff and Weiss, Addy was the easiest actor to cast for the series because of his audition performance. Some characters in the pilot were recast for the first season. The role of Catelyn Stark was played initially by Jennifer Ehle, but the role was recast with Michelle Fairley. The character of Daenerys Targaryen was also recast, with Emilia Clarke replacing Tamzin Merchant. The rest of the first season's cast was selected in the second half of 2009.
[ "surrendered" ]
Individual surrenders were uncommon; large units usually surrendered en masse.
[ "space exploration records", "Russian", "space exploration" ]
Many other Soviet and Russian space exploration records ensued.
[ "North Sea" ]
In the same month, the navy transported 120,000 British troops to France and began a blockade of Germany's North Sea ports.
[ "Western Roman Empire", "culture that developed in its place", "Carolingian Renaissance", "Western Church", "Eastern Orthodox", "Islamic world", "Renaissance", "continent", "fall of the Western Roman Empire" ]
The Roman Empire did not attach a strong identity to the concept of continental divisions. However, following the fall of the Western Roman Empire, the culture that developed in its place, linked to Latin and the Catholic church, began to associate itself with the concept of "Europe". The term "Europe" is first used for a cultural sphere in the Carolingian Renaissance of the 9th century. From that time, the term designated the sphere of influence of the Western Church, as opposed to both the Eastern Orthodox churches and to the Islamic world.
[ "Ashkenazi Jews", "Hermann Einstein", "Pauline Koch" ]
His parents, secular Ashkenazi Jews, were Hermann Einstein, a salesman and engineer, and Pauline Koch.
[ "Cairo International Film Festival", "International Federation of Film Producers Associations", "MENA region", "Egyptian", "Egyptian Arabic", "Samir Kassir", "Misr Studios", "MENA", "Bombay", "Cairo", "films", "Egypt", "national", "Hollywood", "film production" ]
Since 1976, the capital has held the annual Cairo International Film Festival, which has been accredited by the International Federation of Film Producers Associations. There is also another 12 festivals. Of the more than 4,000 short and feature-length films made in MENA region since 1908, more than three-quarters were Egyptian films. Egyptian films are typically spoken in the Egyptian Arabic dialect. Since then, more than 4,000 films have been produced in Egypt, three quarters of the total Arab production. Historian Samir Kassir notes (2004) that Misr Studios in particular, "despite their ups and downs, were to make Cairo the third capital of the world's film industry, after Hollywood and Bombay but ahead of Italy's Cinecittà." Egypt is the most productive country in the Middle East in the field of film production, and the one with the most developed media system.
[ "General Quarters" ]
Men aboard US ships awoke to the sounds of alarms, bombs exploding, and gunfire, prompting bleary-eyed men to dress as they ran to General Quarters stations.
[ "Treaty of Versailles", "Knox–Porter Resolution", "Warren G. Harding", "Termination of the Present War (Definition) Act 1918", "Germany", "United States" ]
A formal state of war between the two sides persisted for another seven months, until the signing of the Treaty of Versailles with Germany on 28 June 1919. The United States Senate did not ratify the treaty despite public support for it, and did not formally end its involvement in the war until the Knox–Porter Resolution was signed on 2 July 1921 by President Warren G. Harding. For the United Kingdom and the British Empire, the state of war ceased under the provisions of the Termination of the Present War (Definition) Act 1918 with respect to:
[ "pre-school", "education" ]
Russia's pre-school education system is highly developed and optional, some four-fifths of children aged 3 to 6 attend day nurseries or kindergartens.
[ "knowledge" ]
Mathematics is an area of knowledge that includes the topics of numbers, formulas and related structures, shapes and the spaces in which they are contained, and quantities and their changes.
[ "logically equivalent", "Playfair's axiom", "parallel postulate", "axioms" ]
Many alternative axioms can be formulated which are logically equivalent to the parallel postulate (in the context of the other axioms). For example, Playfair's axiom states:
[ "axiomatic system", "theorems", "non-Euclidean geometry", "Euclid", "axioms", "geometry" ]
Euclidean geometry is an axiomatic system, in which all theorems ("true statements") are derived from a small number of simple axioms. Until the advent of non-Euclidean geometry, these axioms were considered to be obviously true in the physical world, so that all the theorems would be equally true. However, Euclid's reasoning from assumptions to conclusions remains valid independently from the physical reality.
[ "League of Nations", "Chile" ]
The League of Nations labeled Chile the country hardest hit by the Great Depression because 80% of government revenue came from exports of copper and nitrates, which were in low demand. Chile initially felt the impact of the Great Depression in 1930, when GDP dropped 14%, mining income declined 27%, and export earnings fell 28%. By 1932, GDP had shrunk to less than half of what it had been in 1929, exacting a terrible toll in unemployment and business failures.
[ "Kokura" ]
Three bomb runs were made over the next 50 minutes, burning fuel and exposing the aircraft repeatedly to the heavy defenses around Kokura, but the bombardier was unable to drop visually.
[ "Ottoman Empire", "Middle East" ]
The Ottoman Empire was soon replaced by Turkey and several other countries in the Middle East.
[ "mathematical problems", "Numerical analysis", "analysis", "functional analysis", "approximation theory", "approximation", "discretization", "rounding errors", "matrix", "graph theory", "computer algebra", "symbolic computation", "algebra", "function" ]
Computational mathematics is the study of mathematical problems that are typically too large for human, numerical capacity. Numerical analysis studies methods for problems in analysis using functional analysis and approximation theory; numerical analysis broadly includes the study of approximation and discretization with special focus on rounding errors. Numerical analysis and, more broadly, scientific computing also study non-analytic topics of mathematical science, especially algorithmic-matrix-and-graph theory. Other areas of computational mathematics include computer algebra and symbolic computation.
[ "Japanese" ]
As a growing number of younger Japanese are not marrying or remaining childless, Japan's population is expected to drop to around 88 million by 2065.
[ "Beveridge Report" ]
The Beveridge Report with its five "Giant Evils" was published in November 1942 and assumed great importance amid widespread popular acclaim.
[ "Red Foley", "country", "Old Shep", "shy", "Tupelo" ]
In September 1941, Presley entered first grade at East Tupelo Consolidated, where his teachers regarded him as "average". He was encouraged to enter a singing contest after impressing his schoolteacher with a rendition of Red Foley's country song "Old Shep" during morning prayers. The contest, held at the Mississippi–Alabama Fair and Dairy Show on October 3, 1945, was his first public performance. The ten-year-old Presley stood on a chair to reach the microphone and sang "Old Shep". He recalled placing fifth. A few months later, Presley received his first guitar for his birthday; he had hoped for something else—by different accounts, either a bicycle or a rifle. Over the following year, he received basic guitar lessons from two of his uncles and the new pastor at the family's church. Presley recalled, "I took the guitar, and I watched people, and I learned to play a little bit. But I would never sing in public. I was very shy about it."
[ "formalized set theory", "axiomatic method", "set" ]
It was eventually solved in mainstream mathematics by systematizing the axiomatic method inside a formalized set theory.
[ "androecium", "thecae", "pollen", "gametophyte", "meiosis", "stamen", "whorl", "anther" ]
The androecium, or stamens, is the whorl of pollen-producing male parts. Stamens consist typically of an anther, made up of four pollen sacs arranged in two thecae, connected to a filament, or stalk. The anther contains microsporocytes which become pollen, the male gametophyte, after undergoing meiosis. Although they exhibit the widest variation among floral organs, the androecium is usually confined just to one whorl and to two whorls only in rare cases. Stamens range in number, size, shape, orientation, and in their point of connection to the flower.
[ "agricultural collectivisation", "dekulakisation", "a famine in 1930–1933" ]
Forced agricultural collectivisation and dekulakisation contributed to severe disruptions in grain production and a famine in 1930–1933 which killed millions.
[ "grays", "rads", "sievert" ]
The reporting of doses in terms of absorbed energy in units of grays and rads – rather than the biologically significant, biologically weighted sievert in both the SMR and cognitive performance data – is typical.
[ "optimism", "la belle époque", "Lost Generation", "fought" ]
The optimism of la belle époque was destroyed, and those who had fought in the war were referred to as the Lost Generation.
[ "Naruhiko Higashikuni", "Hideki Tojo", "Hirohito" ]
Hirohito refused the recommendation to appoint Prince Naruhiko Higashikuni in his place, choosing War Minister Hideki Tojo instead.
[ "Tokyo", "nation's capital", "largest city", "Yokohama", "Osaka", "Nagoya", "Sapporo", "Fukuoka", "Kobe", "Kyoto" ]
Tokyo is the nation's capital and largest city, followed by Yokohama, Osaka, Nagoya, Sapporo, Fukuoka, Kobe, and Kyoto.
[ "Politburo of the Communist Party of the Soviet Union", "Russians", "Politburo", "Russian Soviet Federative Socialist Republic", "Soviet Union", "autonomous republics" ]
They also disagreed on the nature of the Soviet state. Lenin called for establishment of a new federation named the "Union of Soviet Republics of Europe and Asia", reflecting his desire for expansion across the two continents and insisted that the Russian state should join this union on equal terms with the other Soviet states. Stalin believed this would encourage independence sentiment among non-Russians, instead arguing that ethnic minorities would be content as "autonomous republics" within the Russian Soviet Federative Socialist Republic. Lenin accused Stalin of "Great Russian chauvinism"; Stalin accused Lenin of "national liberalism". A compromise was reached, in which the federation would be renamed the "Union of Soviet Socialist Republics" (USSR). The USSR's formation was ratified in December 1922; although officially a federal system, all major decisions were taken by the governing Politburo of the Communist Party of the Soviet Union in Moscow.
[ "wave equation", "normal modes", "Fourier transform" ]
The Klein–Gordon equation is a wave equation, so its solutions can be expressed as a sum of normal modes (obtained via Fourier transform) as follows:
[ "wavefunction" ]
This sum is defined only if the index x is discrete. If the index is over R {\displaystyle \mathbb {R} } , then the sum is replaced by an integral. The quantity ψ ( x ) {\displaystyle \psi (x)} is called the wavefunction of the particle.
[ "Blue Division", "Agustín Muñoz Grandes", "Soviet Union", "German" ]
When Germany invaded the Soviet Union in 1941, Franco immediately offered to form a unit of military volunteers to join the invasion. This was accepted by Hitler and, within two weeks, there were more than enough volunteers to form a division – the Blue Division (División Azul) under General Agustín Muñoz Grandes.
[ "Battle of Cambrai", "Dominion" ]
On 8 October the line was pierced again by British and Dominion troops at the Battle of Cambrai.
[ "class conflict" ]
Though these views have been discounted as "myths", they are common. They have dynamically changed according to contemporary influences, reflecting in the 1950s perceptions of the war as "aimless" following the contrasting Second World War and emphasising conflict within the ranks during times of class conflict in the 1960s. The majority of additions to the contrary are often rejected.
[ "Auguste and Louis Lumière", "Cinématographe", "Workers Leaving the Lumière Factory", "L'Arroseur Arrosé", "film", "film projection" ]
In the latter half of 1895, brothers Auguste and Louis Lumière filmed a number of short scenes with their invention, the Cinématographe. On 28 December 1895, the brothers gave their first commercial screening in Paris (though evidence exists of demonstrations of the device to small audiences as early as October 1895). The screening consisted of ten films and lasted roughly 20 minutes. The program consisted mainly of actuality films such as Workers Leaving the Lumière Factory as truthful documents of the world, but the show also included the staged comedy L'Arroseur Arrosé. The most advanced demonstration of film projection thus far, the Cinématographe was an instant success, bringing in an average of 2,500 to 3,000 francs daily by the end of January 1896. Following the first screening, the order and selection of films were changed often.
[ "dog" ]
In 2022, a genetic study found that membership of a dog breed is not a good predictor of an individual dog's behavior, and the type of breed should not be used to select a pet dog.
[ "Elsa Löwenthal" ]
In 1912, Einstein entered into a relationship with Elsa Löwenthal, who was both his first cousin on his mother's side and his second cousin on his father's.
[ "French" ]
Tulips spread rapidly across Europe, and more opulent varieties such as double tulips were already known in Europe by the early 17th century. These curiosities fitted well in an age when natural oddities were cherished and especially in the Netherlands, France, Germany and England, where the spice trade with the East Indies had made many people wealthy. Nouveaux riches seeking wealthy displays embraced the exotic plant market, especially in the Low Countries where gardens had become fashionable. A craze for bulbs soon grew in France, where in the early 17th century, entire properties were exchanged as payment for a single tulip bulb. The value of the flower gave it an aura of mystique, and numerous publications describing varieties in lavish garden manuals were published, cashing in on the value of the flower. An export business was built up in France, supplying Dutch, Flemish, German and English buyers. The trade drifted slowly from the French to the Dutch.
[ "communist-led revolution", "Soviet–Afghan War", "Afghanistan" ]
In 1979, after a communist-led revolution in Afghanistan, Soviet forces invaded the country, ultimately starting the Soviet–Afghan War.
[ "Peano arithmetic", "numbers", "natural numbers", "arithmetic", "reason" ]
For example, in Peano arithmetic, the natural numbers are defined by "zero is a number", "each number has a unique successor", "each number but zero has a unique predecessor", and some rules of reasoning.
[ "twist endings", "antagonist", "protagonist", "Rebel Without a Cause", "Psycho", "drama", "Hollywood", "cinema" ]
Post-classical cinema is the changing methods of storytelling in the New Hollywood. It has been argued that new approaches to drama and characterization played upon audience expectations acquired in the classical period: chronology may be scrambled, storylines may feature "twist endings", and lines between the antagonist and protagonist may be blurred. The roots of post-classical storytelling may be seen in film noir, in Rebel Without a Cause (1955), and in Hitchcock's storyline-shattering Psycho.
[ "third-longest" ]
The total length of common-used railway tracks is the world's third-longest, and exceeds 87,000 km (54,100 mi).
[ "Uralic languages", "Estonian", "Finnish", "Hungarian", "Erzya", "Komi", "Mari", "Moksha", "Udmurt", "Estonia", "Finland", "Hungary", "Russia", "art", "language", "Indo-European" ]
A distinct non-Indo-European family of Uralic languages (Estonian, Finnish, Hungarian, Erzya, Komi, Mari, Moksha and Udmurt) is spoken mainly in Estonia, Finland, Hungary and parts of Russia.
[ "time dilated", "clock" ]
For light, and with the receiver moving at relativistic speeds, clocks on the receiver are time dilated relative to clocks at the source. The receiver will measure the received frequency to be f r = γ ( 1 − β ) f s = 1 − β 1 + β f s . {\displaystyle f_{r}=\gamma \left(1-\beta \right)f_{s}={\sqrt {\frac {1-\beta }{1+\beta }}}\,f_{s}.} where
[ "or" ]
This does not mean that there is no place for creativity in a mathematical work.
[ "logic", "philosophy", "proofs", "mathematical objects", "set" ]
Before this period, sets were not considered to be mathematical objects, and logic, although used for mathematical proofs, belonged to philosophy and was not specifically studied by mathematicians.
[ "Candlestick Park", "rock", "rock 'n' roll" ]
The band performed none of their new songs on the tour. In Chris Ingham's description, they were very much "studio creations ... and there was no way a four-piece rock 'n' roll group could do them justice, particularly through the desensitising wall of the fans' screams. 'Live Beatles' and 'Studio Beatles' had become entirely different beasts." The band's concert at San Francisco's Candlestick Park on 29 August was their last commercial concert. It marked the end of four years dominated by almost non-stop touring that included over 1,400 concert appearances internationally.
[ "League of Nations mandates", "German colonies", "France", "Belgium", "League of Nations", "annexation" ]
France, along with the British Dominions and Belgium, opposed League of Nations mandates and favored annexation of former German colonies.
[ "Tablets", "touch screen", "computer" ]
Tablets are portable computers that use a touch screen as the primary input device. Tablets generally weigh less and are smaller than laptops.
[ "Hiroshima" ]
He was seriously burnt on his left side and spent the night in Hiroshima.
[ "backpropagation", "Leibniz", "chain rule", "automatic differentiation", "reverse accumulation", "Seppo Linnainmaa", "Frank Rosenblatt", "Henry J. Kelley", "Bryson", "dynamic programming", "control theory", "backpropagation", "parameters", "Paul Werbos", "Rumelhart", "Hinton", "Williams", "internal representations" ]
The backpropagation algorithm is an efficient application of the Leibniz chain rule (1673) to networks of differentiable nodes. It is also known as the reverse mode of automatic differentiation or reverse accumulation, due to Seppo Linnainmaa (1970). The term "back-propagating errors" was introduced in 1962 by Frank Rosenblatt, but he did not have an implementation of this procedure, although Henry J. Kelley and Bryson had dynamic programming based continuous precursors of backpropagation already in 1960–61 in the context of control theory. In 1973, Dreyfus used backpropagation to adapt parameters of controllers in proportion to error gradients. In 1982, Paul Werbos applied backpropagation to MLPs in the way that has become standard. In 1986 Rumelhart, Hinton and Williams showed that backpropagation learned interesting internal representations of words as feature vectors when trained to predict the next word in a sequence.
[ "United States" ]
In the United States, agricultural organizations sponsored programs to teach housewives how to optimize their gardens and to raise poultry for meat and eggs.
[ "Battle of Appomattox Court House", "Union", "Union Army" ]
In April 1865, following the Union Army's victory at the Battle of Appomattox Court House, the Confederacy surrendered and soon collapsed.
[ "invaded and occupied Manchuria", "international condemnation of the occupation", "League of Nations" ]
In 1931, Japan invaded and occupied Manchuria; following international condemnation of the occupation, it resigned from the League of Nations two years later.