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Aware of German plans to attack through Belgium, French Commander-in-Chief Joseph Joffre asked his government for permission to cross the border and pre-empt such a move.

The brewing industry is a global business, consisting of several dominant multinational companies and many thousands of other producers known as microbreweries or regional breweries or craft breweries depending on size, region, and marketing preference. More than 133 billion liters (3.5×10 U.S. gallons; 2.9×10 imperial gallons) are sold per year—producing total global revenues of $294.5 billion (£147.7 billion) as of 2006. SABMiller became the largest brewing company in the world when it acquired Royal Grolsch, brewer of Dutch premium beer brand Grolsch. InBev was the second-largest beer-producing company in the world and Anheuser-Busch held the third spot, but after the acquisition of Anheuser-Busch by InBev, the new Anheuser-Busch InBev company is currently the largest brewer in the world.

In 1991, Jürgen Schmidhuber also published adversarial neural networks that contest with each other in the form of a zero-sum game, where one network's gain is the other network's loss. The first network is a generative model that models a probability distribution over output patterns. The second network learns by gradient descent to predict the reactions of the environment to these patterns. This was called "artificial curiosity." In 2014, this principle was used in a generative adversarial network (GAN) by Ian Goodfellow et al. Here the environmental reaction is 1 or 0 depending on whether the first network's output is in a given set. This can be used to create realistic deepfakes. Excellent image quality is achieved by Nvidia's StyleGAN (2018) based on the Progressive GAN by Tero Karras et. al. Here the GAN generator is grown from small to large scale in a pyramidal fashion.

Another example is the black drongos and the cattle egrets found in India. These birds feed on insects on the back of cattle, which helps to keep them disease-free. Destroying the nesting habitats of these birds would cause a decrease in the cattle population because of the spread of insect-borne diseases.

Japan has a large industrial capacity and is home to some of the "largest and most technologically advanced producers of motor vehicles, machine tools, steel and nonferrous metals, ships, chemical substances, textiles, and processed foods".

In the history of architecture, the first Chicago School was a school of architects active in Chicago in the late 19th, and at the turn of the 20th century.

This, along with Germany's use of combined arms, were among the key elements of their highly successful blitzkrieg tactics across Poland and France.

Many religious buildings were demolished, most notably Moscow's Cathedral of Christ the Saviour, destroyed in 1931 to make way for the (never completed) Palace of the Soviets.

The Lophotrochozoa includes the molluscs, annelids, brachiopods, nemerteans, bryozoa and entoprocts. The molluscs, the second-largest animal phylum by number of described species, includes snails, clams, and squids, while the annelids are the segmented worms, such as earthworms, lugworms, and leeches. These two groups have long been considered close relatives because they share trochophore larvae.

The U.S. ranks as second-highest emitter of greenhouse gases, exceeded only by China.

The Japanese Army and Burma nationalists, led by Aung San, seized control of Burma from the United Kingdom during 1942.

Mao Zedong (26 December 1893 – 9 September 1976), also known as Chairman Mao, was a Chinese politician, political theorist, military strategist, poet, and communist revolutionary who was the founder of the People's Republic of China (PRC), which he led as the chairman of the Chinese Communist Party from the establishment of the PRC in 1949 until his death in 1976. Ideologically a Marxist–Leninist, his theories, military strategies, and political policies are collectively known as Maoism.

Lambic, a beer of Belgium, is naturally fermented using wild yeasts, rather than cultivated. Many of these are not strains of brewer's yeast (Saccharomyces cerevisiae) and may have significant differences in aroma and sourness. Yeast varieties such as Brettanomyces bruxellensis and Brettanomyces lambicus are common in lambics. In addition, other organisms such as Lactobacillus bacteria produce acids which contribute to the sourness.

Stalin claimed to have embraced Marxism at the age of fifteen, and it served as the guiding philosophy throughout his adult life; according to Kotkin, Stalin held "zealous Marxist convictions", while Montefiore suggested that Marxism held a "quasi-religious" value for Stalin. Although he never became a Georgian nationalist, during his early life elements from Georgian nationalist thought blended with Marxism in his outlook. The historian Alfred J. Rieber noted that he had been raised in "a society where rebellion was deeply rooted in folklore and popular rituals". Stalin believed in the need to adapt Marxism to changing circumstances; in 1917, he declared that "there is dogmatic Marxism and there is creative Marxism. I stand on the ground of the latter". Volkogonov believed that Stalin's Marxism was shaped by his "dogmatic turn of mind", suggesting that this had been instilled in the Soviet leader during his education in religious institutions. According to scholar Robert Service, Stalin's "few innovations in ideology were crude, dubious developments of Marxism". Some of these derived from political expediency rather than any sincere intellectual commitment; Stalin would often turn to ideology post hoc to justify his decisions. Stalin referred to himself as a praktik, meaning that he was more of a practical revolutionary than a theoretician.

Soon after, US president Woodrow Wilson attempted to intervene as a peacemaker, asking in a note for both sides to state their demands and start negotiations. Lloyd George's War Cabinet considered the German offer to be a ploy to create divisions amongst the Allies. After initial outrage and much deliberation, they took Wilson's note as a separate effort, signalling that the United States was on the verge of entering the war against Germany following the "submarine outrages". While the Allies debated a response to Wilson's offer, the Germans chose to rebuff it in favour of "a direct exchange of views". Learning of the German response, the Allied governments were free to make clear demands in their response of 14 January. They sought restoration of damages, the evacuation of occupied territories, reparations for France, Russia and Romania, and a recognition of the principle of nationalities. This included the liberation of Italians, Slavs, Romanians, Czecho-Slovaks, and the creation of a "free and united Poland". On the question of security, the Allies sought guarantees that would prevent or limit future wars, complete with sanctions, as a condition of any peace settlement. The negotiations failed and the Entente powers rejected the German offer on the grounds that Germany had not put forward any specific proposals.

German strategy in 1914 was to first defeat France then transfer forces to the Russian front. However, this failed, and by the end of 1914, the Western Front consisted of a continuous line of trenches stretching from the English Channel to Switzerland. The Eastern Front was more dynamic, but neither side could gain a decisive advantage, despite costly offensives. As the war expanded to more fronts, Bulgaria, Romania, Greece, Italy and others joined in between 1915 and 1917. In early 1917, the United States entered the war on the side of the Allies, while in late 1917, the Bolsheviks seized power in the Russian October Revolution and made peace with the Central Powers in early 1918.

British economist and Versailles negotiator John Maynard Keynes summarized this position as attempting to "set the clock back and undo what, since 1870, the progress of Germany had accomplished."

Shortly after the conference, Lenin and Grigory Zinoviev decided to co-opt Stalin to the committee.

If the international Jewish financiers in and outside Europe should succeed in plunging the nations once more into a world war, then the result will not be the Bolshevisation of the earth, and thus the victory of Jewry, but the annihilation of the Jewish race in Europe!

In November 1901, he was elected to the Tiflis Committee of the Russian Social Democratic Labour Party (RSDLP), a Marxist party founded in 1898.

Roosevelt maintained contacts with the Democratic Party during the 1920s, and he remained active in New York politics while also establishing contacts in the South, particularly in Georgia. He issued an open letter endorsing Al Smith's successful campaign in New York's 1922 gubernatorial election, which both aided Smith and showed Roosevelt's continuing relevance as a political figure. Roosevelt and Smith came from different backgrounds and never fully trusted one another, but Roosevelt supported Smith's progressive policies, while Smith was happy to have the backing of the prominent and well-respected Roosevelt.

He initially supported the use of British troops to assist the anti-Communist White forces in the Russian Civil War, but soon recognised the desire of the British people to bring them home.

The Beatles have a core catalogue consisting of thirteen studio albums and a compilation of UK singles and EP tracks.

The programme of the Nazi Party was laid out in their 25-point programme on 24 February 1920. This did not represent a coherent ideology, but was a conglomeration of received ideas which had currency in the völkisch Pan-Germanic movement, such as ultranationalism, opposition to the Treaty of Versailles, distrust of capitalism, as well as some socialist ideas. For Hitler, the most important aspect of it was its strong anti-Semitic stance. He also perceived the programme as primarily a basis for propaganda and for attracting people to the party.

He was welcomed to New York City by Mayor John Francis Hylan, and then spent three weeks giving lectures and attending receptions.

"Craft brewing" is a more encompassing term for developments in the industry succeeding the microbrewing movement of the late 20th century. The definition is not entirely consistent but typically applies to relatively small, independently owned commercial breweries that employ traditional brewing methods and emphasize flavor and quality. The term is usually reserved for breweries established since the 1970s but may be used for older breweries with a similar focus. A United States trade group, the Brewers Association, interested in brand transparency, offers a definition of craft breweries as "small, independent and traditional". The craft brewing process takes time and can be considered an art by the brewmasters. In the United Kingdom, the Assured Independent British Craft Brewer initiative is run by the Society of Independent Brewers (SIBA), who ensure that any breweries using the Independent Craft Brewer logo are relatively small, independent and brewing quality beer.

Nevertheless, the concept of "rigor" may remain useful for teaching to beginners what is a mathematical proof.

None of the nominations in 1921 met the criteria set by Alfred Nobel, so the 1921 prize was carried forward and awarded to Einstein in 1922.

Although Japanese forces were sometimes welcomed as liberators from European domination, Japanese war crimes frequently turned local public opinion against them.

Regarding Hirohito's exemption from trial before the International Military Tribunal of the Far East, opinions were not unanimous. Sir William Webb, the president of the tribunal, declared: "This immunity of the Emperor is contrasted with the part he played in launching the war in the Pacific, is, I think, a matter which the tribunal should take into consideration in imposing the sentences." Likewise, the French judge, Henri Bernard, wrote about Hirohito's accountability that the declaration of war by Japan "had a principal author who escaped all prosecution and of whom in any case the present defendants could only be considered accomplices."

Ethnically Georgian, Stalin grew up speaking the Georgian language, and did not begin learning Russian until the age of eight or nine.

Thereafter, Chinese volunteer forces continued the resistance to Japanese aggression in Manchuria, and Chahar and Suiyuan.

The first problem is corrected by allowing the procedure to change the policy (at some or all states) before the values settle. This too may be problematic as it might prevent convergence. Most current algorithms do this, giving rise to the class of generalized policy iteration algorithms. Many actor-critic methods belong to this category.

He also read Das Kapital, the 1867 book by German sociological theorist Karl Marx.

For example, he opposed an increase in military expenditure; he supported a Liberal bill to restore legal rights to trade unions; and he opposed the introduction of tariffs on goods imported into the British Empire, describing himself as a "sober admirer" of the principles of free trade.

Writing about the Spanish Civil War, he referred to Franco's army as the "anti-red movement", but later became critical of Franco.

Fig. 6-1 (top). Consider a system of plane waves of light having frequency f {\displaystyle f} traveling in direction ϕ {\displaystyle \phi } relative to the x-axis of reference frame S. The frequency (and hence energy) of the waves as measured in frame S′ that is moving along the x-axis at velocity v {\displaystyle v} is given by the relativistic Doppler shift formula which Einstein had developed in his 1905 paper on special relativity:

Credits of £25 million each from the Bank of France and the Federal Reserve Bank of New York and an issue of £15 million fiduciary note slowed, but did not reverse the British crisis.

Following the implementation of the treaty, Upper Silesia was initially governed by Britain, France, and Italy. Between 1919 and 1921, three major outbreaks of violence took place between German and Polish civilians, resulting in German and Polish military forces also becoming involved. In March 1921, the Inter-Allied Commission held the Upper Silesia plebiscite, which was peaceful despite the previous violence. The plebiscite resulted in c. 60 per cent of the population voting for the province to remain part of Germany. Following the vote, the League of Nations debated the future of the province. In 1922, Upper Silesia was partitioned: Oppeln, in the north-west, remained with Germany while Silesia Province, in the south-east, was transferred to Poland.

African Americans from the South went to California and other West Coast states for new jobs in the defense industry.

Since Mayor Senkichi Awaya had been killed while eating breakfast with his son and granddaughter at the mayoral residence, Field Marshal Shunroku Hata, who was only slightly wounded, took over the administration of the city, and coordinated relief efforts.

Before the introduction of the IBM PC, portable computers consisting of a processor, display, disk drives and keyboard, in a suit-case style portable housing, allowed users to bring a computer home from the office or to take notes at a classroom. Examples include the Osborne 1 and Kaypro; and the Commodore SX-64. These machines were AC-powered and included a small CRT display screen. The form factor was intended to allow these systems to be taken on board an airplane as carry-on baggage, though their high power demand meant that they could not be used in flight. The integrated CRT display made for a relatively heavy package, but these machines were more portable than their contemporary desktop equals. Some models had standard or optional connections to drive an external video monitor, allowing a larger screen or use with video projectors.

Other flowers commonly used by floral designers include peruvian lilies, cosmos, freesias, gardenia, hyacinth, kalanchoe, larkspur, lavender, lilac, lilies, limonium, lupine, peonies, phlox, protea, ranunculus, sedum, solidago, sunflowers, tulips, and zinnias.

On 23 March 1933, the Reichstag assembled at the Kroll Opera House under turbulent circumstances. Ranks of SA men served as guards inside the building, while large groups outside opposing the proposed legislation shouted slogans and threats towards the arriving members of parliament. After Hitler verbally promised Centre party leader Ludwig Kaas that Hindenburg would retain his power of veto, Kaas announced the Centre Party would support the Enabling Act. The Act passed by a vote of 444–94, with all parties except the Social Democrats voting in favour. The Enabling Act, along with the Reichstag Fire Decree, transformed Hitler's government into a de facto legal dictatorship.

In the first decades of the 21st century, the U.S. faced challenges from terrorism, with the September 11 attacks leading to the war on terror and military interventions in Afghanistan and Iraq.

Finney, Gleeson, Oldman and Lithgow all won major awards for their performances as Churchill.

Contemporary Japanese culture combines influences from Asia, Europe, and North America.

English writer Michael Jackson, in his 1977 book The World Guide To Beer, categorised beers from around the world in local style groups suggested by local customs and names. Fred Eckhardt furthered Jackson's work in The Essentials of Beer Style in 1989.

The Holocaust and Germany's war in the East were based on Hitler's long-standing view that the Jews were the enemy of the German people, and that Lebensraum was needed for Germany's expansion.

It was widely used in the CPUs and floating-point units of mainframe and other computers; it was implemented for the first time in EDSAC 2, which also used multiple identical "bit slices" to simplify design. Interchangeable, replaceable tube assemblies were used for each bit of the processor.

The ideology of Maoism has influenced many Communists, mainly in the Third World, including revolutionary movements such as Cambodia's Khmer Rouge, Peru's Shining Path, and the Nepalese revolutionary movement. Under the influence of Mao's agrarian socialism and Cultural Revolution, Pol Pot and the Khmer Rouge conceived of his disastrous Year Zero policies which purged the nation of its teachers, artists and intellectuals and emptied its cities, resulting in the Cambodian genocide. The Revolutionary Communist Party, USA, also claims Marxism–Leninism-Maoism as its ideology, as do other Communist Parties around the world which are part of the Revolutionary Internationalist Movement. China itself has moved sharply away from Maoism since Mao's death, and most people outside of China who describe themselves as Maoist regard the Deng Xiaoping reforms to be a betrayal of Maoism, in line with Mao's view of "Capitalist roaders" within the Communist Party. As the Chinese government instituted market economic reforms starting in the late 1970s and as later Chinese leaders took power, less recognition was given to the status of Mao. This accompanied a decline in state recognition of Mao in later years in contrast to previous years when the state organised numerous events and seminars commemorating Mao's 100th birthday. Nevertheless, the Chinese government has never officially repudiated the tactics of Mao. Deng Xiaoping, who was opposed to the Great Leap Forward and the Cultural Revolution, stated that "when we write about his mistakes we should not exaggerate, for otherwise we shall be discrediting Chairman Mao Zedong and this would mean discrediting our party and state."

The number of deaths by starvation during the Great Leap Forward is deeply controversial. Until the mid-1980s, when official census figures were finally published by the Chinese Government, little was known about the scale of the disaster in the Chinese countryside, as the handful of Western observers allowed access during this time had been restricted to model villages where they were deceived into believing that the Great Leap Forward had been a great success. There was also an assumption that the flow of individual reports of starvation that had been reaching the West, primarily through Hong Kong and Taiwan, must have been localised or exaggerated as China was continuing to claim record harvests and was a net exporter of grain through the period. Because Mao wanted to pay back early to the Soviets debts totalling 1.973 billion yuan from 1960 to 1962, exports increased by 50%, and fellow Communist regimes in North Korea, North Vietnam and Albania were provided grain free of charge.

Denmark sold agricultural and industrial products to Germany and made loans for armaments and fortifications.

Firing off every flare on board to alert the field to his emergency landing, the Bockscar came in fast, landing at 230 km/h (140 mph) instead of the normal 190 kilometers per hour (120 mph).

In March 1910, he was arrested again and sent back to Solvychegodsk.

It is the world's oldest surviving federation, and, according to the World Economic Forum, the oldest democracy as well.

Following the ousting of Khrushchev in 1964, another period of collective rule ensued, until Leonid Brezhnev became the leader. The era of the 1970s and the early 1980s was later designated as the Era of Stagnation. The 1965 Kosygin reform aimed for partial decentralisation of the Soviet economy. In 1979, after a communist-led revolution in Afghanistan, Soviet forces invaded the country, ultimately starting the Soviet–Afghan War. In May 1988, the Soviets started to withdraw from Afghanistan, due to international opposition, persistent anti-Soviet guerrilla warfare, and a lack of support by Soviet citizens.

Creatively, however, the rapid transition was a difficult one, and in some ways, film briefly reverted to the conditions of its earliest days. The late '20s were full of static, stagey talkies as artists in front of and behind the camera struggled with the stringent limitations of the early sound equipment and their own uncertainty as to how to use the new medium. Many stage performers, directors and writers were introduced to cinema as producers sought personnel experienced in dialogue-based storytelling. Many major silent filmmakers and actors were unable to adjust and found their careers severely curtailed or even ended.

In his book The Economic Consequences of the Peace, John Maynard Keynes referred to the Treaty of Versailles as a "Carthaginian peace", a misguided attempt to destroy Germany on behalf of French revanchism, rather than to follow the fairer principles for a lasting peace set out in President Woodrow Wilson's Fourteen Points, which Germany had accepted at the armistice. He stated: "I believe that the campaign for securing out of Germany the general costs of the war was one of the most serious acts of political unwisdom for which our statesmen have ever been responsible." Keynes had been the principal representative of the British Treasury at the Paris Peace Conference, and used in his passionate book arguments that he and others (including some US officials) had used at Paris. He believed the sums being asked of Germany in reparations were many times more than it was possible for Germany to pay, and that these would produce drastic instability.

Nepali film does not have a very long film history, but the industry has its own place in the cultural heritage of the country. It is often referred to as 'Nepali Chalchitra' (which translates to "Nepali films" in English). The terms Kollywood and Kallywood are also used, as a portmanteau of "Kathmandu" and "Hollywood"; "Kollywood" however is more frequently used to refer to Tamil cinema. Chhakka Panja has been considered the highest-grossing film of all time in Nepali film industry and Kohinoor the second highest. The Nepali films The Black Hen (2015) and Kagbeni (2006) received international acclaim. The Nepali feature film White Sun (Seto Surya) received the Best Film award at the 27th Singapore International Film Festival (SGIFF) in 2016.

Quantum mechanics arose gradually from theories to explain observations that could not be reconciled with classical physics, such as Max Planck's solution in 1900 to the black-body radiation problem, and the correspondence between energy and frequency in Albert Einstein's 1905 paper, which explained the photoelectric effect. These early attempts to understand microscopic phenomena, now known as the "old quantum theory", led to the full development of quantum mechanics in the mid-1920s by Niels Bohr, Erwin Schrödinger, Werner Heisenberg, Max Born, Paul Dirac and others. The modern theory is formulated in various specially developed mathematical formalisms. In one of them, a mathematical entity called the wave function provides information, in the form of probability amplitudes, about what measurements of a particle's energy, momentum, and other physical properties may yield.

In the rest frame of the object, the time component of the four-force is zero unless the "invariant mass" of the object is changing (this requires a non-closed system in which energy/mass is being directly added or removed from the object) in which case it is the negative of that rate of change of mass, times c. In general, though, the components of the four-force are not equal to the components of the three-force, because the three force is defined by the rate of change of momentum with respect to coordinate time, that is, dp/dt while the four-force is defined by the rate of change of momentum with respect to proper time, that is, dp/dτ.

The United Nations predicts that Europe will decline its population between 2022 and 2050 by −7 per cent, without changing immigration movements.

A finite potential well is the generalization of the infinite potential well problem to potential wells having finite depth. The finite potential well problem is mathematically more complicated than the infinite particle-in-a-box problem as the wave function is not pinned to zero at the walls of the well. Instead, the wave function must satisfy more complicated mathematical boundary conditions as it is nonzero in regions outside the well. Another related problem is that of the rectangular potential barrier, which furnishes a model for the quantum tunneling effect that plays an important role in the performance of modern technologies such as flash memory and scanning tunneling microscopy.

Let V be a finite-dimensional vector space over a field F, and (v1, v2, ..., vm) be a basis of V (thus m is the dimension of V). By definition of a basis, the map

Before the German occupation, in 1933, filmmaker and animator Irena Dodalová [cs] established the first Czech animation studio "IRE Film" with her husband Karel Dodal.

Japan entered into conflict against the Chinese in 1937. The Japanese invasion and occupation of parts of China resulted in numerous atrocities against civilians, such as the Nanjing Massacre and the Three Alls Policy. The Japanese also fought skirmishes with Soviet–Mongolian forces in Manchukuo in 1938 and 1939. Japan sought to avoid war with the Soviet Union by signing a non-aggression pact with it in 1941.

Large populations of Buddhists are found in Kalmykia, Buryatia, Zabaykalsky Krai, and they are the vast majority of the population in Tuva.

The earliest foundations of what would become computer science predate the invention of the modern digital computer. Machines for calculating fixed numerical tasks such as the abacus have existed since antiquity, aiding in computations such as multiplication and division. Algorithms for performing computations have existed since antiquity, even before the development of sophisticated computing equipment.

Speer linked this use of amphetamine to Hitler's increasingly erratic behaviour and inflexible decision-making (for example, rarely allowing military retreats).

To alleviate tensions within the band and improve the quality of their live sound, Harrison invited keyboardist Billy Preston to participate in the last nine days of sessions. Preston received label billing on the "Get Back" single – the only musician ever to receive that acknowledgment on an official Beatles release. After the rehearsals, the band could not agree on a location to film a concert, rejecting several ideas, including a boat at sea, a lunatic asylum, the Libyan desert, and the Colosseum. Ultimately, what would be their final live performance was filmed on the rooftop of the Apple Corps building at 3 Savile Row, London, on 30 January 1969. Five weeks later, engineer Glyn Johns, whom Lewisohn describes as Get Back's "uncredited producer", began work assembling an album, given "free rein" as the band "all but washed their hands of the entire project".

Besides these basic concepts, linear algebra also studies vector spaces with additional structure, such as an inner product. The inner product is an example of a bilinear form, and it gives the vector space a geometric structure by allowing for the definition of length and angles. Formally, an inner product is a map

When Prime Minister of Japan General Hideki Tojo refused American demands that Japan withdraw its military forces from China, a confrontation became more likely.

Cognition refers to "the mental action or process of acquiring knowledge and understanding through thought, experience, and the senses." Cognitive science is the interdisciplinary, scientific study of the mind and its processes. Cognitive linguistics is an interdisciplinary branch of linguistics, combining knowledge and research from both psychology and linguistics. Especially during the age of symbolic NLP, the area of computational linguistics maintained strong ties with cognitive studies.

The general trend in the development of cinema, led from the United States, was towards using the newly developed specifically filmic devices for expression of the narrative content of film stories, and combining this with the standard dramatic structures already in use in commercial theatre. D. W. Griffith had the highest standing amongst American directors in the industry, because of the dramatic excitement he conveyed to the audience through his films. Cecil B. DeMille's The Cheat (1915), brought out the moral dilemmas facing their characters in a more subtle way than Griffith. DeMille was also in closer touch with the reality of contemporary American life. Maurice Tourneur was also highly ranked for the pictorial beauties of his films, together with the subtlety of his handling of fantasy, while at the same time he was capable of getting greater naturalism from his actors at appropriate moments, as in A Girl's Folly (1917).

The Execution of Mary Stuart, produced in 1895 by the Edison Company for viewing with the Kinetoscope, showed Mary Queen of Scots being executed in full view of the camera. The effect, known as the stop trick, was achieved by replacing the actor with a dummy for the final shot. The technique used in the film is seen as one of the earliest known uses of special effects in film.

Caudillo Francisco Franco's Spanish State gave moral, economic, and military assistance to the Axis powers, while nominally maintaining neutrality.

Analytical and computational techniques derived from deep-rooted physics of disordered systems can be extended to large-scale problems, including machine learning, e.g., to analyze the weight space of deep neural networks.

In March 2018, Google announced TensorFlow.js version 1.0 for machine learning in JavaScript.

Mathematicians can find an aesthetic value to mathematics.

Some researchers have expressed skepticism that scalable quantum computers could ever be built, typically because of the issue of maintaining coherence at large scales, but also for other reasons.

Leonhard Euler (1707–1783), the most notable mathematician of the 18th century, unified these innovations into a single corpus with a standardized terminology, and completed them with the discovery and the proof of numerous theorems.

Timed to coincide with the Bulgarian Declaration of Independence from the Ottoman Empire, this unilateral action was denounced by the European powers, but accepted as there was no consensus on how to resolve the situation.

In the 1980s the reforms of Mikhail Gorbachev and the Solidarity movement in Poland weakened the previously rigid communist system. The opening of the Iron Curtain at the Pan-European Picnic then set in motion a peaceful chain reaction, at the end of which the Eastern bloc, the Warsaw Pact and other communist states collapsed, and the Cold War ended. Germany was reunited, after the symbolic fall of the Berlin Wall in 1989 and the maps of Central and Eastern Europe were redrawn once more. This made old previously interrupted cultural and economic relationships possible, and previously isolated cities such as Berlin, Prague, Vienna, Budapest and Trieste were now again in the centre of Europe.

He lived in Vienna later in the first decade of the 1900s before moving to Germany in 1913.

From March 1944, Germany also contributed to the design and construction of the M-05 and M-06 prototypes of the Mareșal tank destroyer: Alkett contributed to the Romanian design team and Telefunken radios along with Böhler armor were provided.

Following the pollination of a flower, fertilization, and finally the development of a seed and fruit, a mechanism is typically used to disperse the fruit away from the plant. In Angiosperms (flowering plants) seeds are dispersed away from the plant so as to not force competition between the mother and the daughter plants, as well as to enable the colonisation of new areas. They are often divided into two categories, though many plants fall in between or in one or more of these:

The interval AC in the diagram is 'space-like'; that is, there is a frame of reference in which events A and C occur simultaneously, separated only in space. There are also frames in which A precedes C (as shown) and frames in which C precedes A. But no frames are accessible by a Lorentz transformation, in which events A and C occur at the same location. If it were possible for a cause-and-effect relationship to exist between events A and C, paradoxes of causality would result.

Whereas in fertilization only plasmogamy, or the fusion of the whole sex cells, results, in Angiosperms (flowering plants) a process known as double fertilization, which involves both karyogamy and plasmogamy, occurs. In double fertilization the second sperm cell subsequently also enters the synergid and fuses with the two polar nuclei of the central cell. Since all three nuclei are haploid, they result in a large endosperm nucleus which is triploid.

The Renaissance and the New Monarchs marked the start of an Age of Discovery, a period of exploration, invention and scientific development. Among the great figures of the Western scientific revolution of the 16th and 17th centuries were Copernicus, Kepler, Galileo and Isaac Newton. According to Peter Barrett, "It is widely accepted that 'modern science' arose in the Europe of the 17th century (towards the end of the Renaissance), introducing a new understanding of the natural world."

During the war, Japan brought as many as 670,000 Korean conscripts to Japan to work as forced labor.

The other members of the Central Powers signed treaties containing similar articles.

In June 1943, the British and Americans began a strategic bombing campaign against Germany with a goal to disrupt the war economy, reduce morale, and "de-house" the civilian population. The firebombing of Hamburg was among the first attacks in this campaign, inflicting significant casualties and considerable losses on infrastructure of this important industrial centre.

However, over time, attention moved to performing specific tasks, leading to deviations from biology.

A major drawback of statistical methods is that they require elaborate feature engineering. Since 2015, the statistical approach was replaced by neural networks approach, using word embeddings to capture semantic properties of words.

In the 14th century, Indian mathematicians gave a non-rigorous method, resembling differentiation, applicable to some trigonometric functions. Madhava of Sangamagrama and the Kerala School of Astronomy and Mathematics thereby stated components of calculus. A complete theory encompassing these components is now well known in the Western world as the Taylor series or infinite series approximations. However, they were not able to "combine many differing ideas under the two unifying themes of the derivative and the integral, show the connection between the two, and turn calculus into the great problem-solving tool we have today".

Sidney Drew was the leader in developing "polite comedy", while slapstick was refined by Fatty Arbuckle and Charles Chaplin, who both started with Mack Sennett's Keystone company. They reduced the usual frenetic pace of Sennett's films to give the audience a chance to appreciate the subtlety and finesse of their movement, and the cleverness of their gags. By 1917 Chaplin was also introducing more dramatic plot into his films, and mixing the comedy with sentiment.

At Los Alamos, technicians worked 24 hours straight to cast another plutonium core.

The strength of beer is a general term for the amount of alcohol present. It can be quantified either indirectly by measurement of specific gravity, or more directly by other methods.

The British and French opened overseas fronts with the Gallipoli (1915) and Mesopotamian campaigns (1914).