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In January 1993, Jackson won three American Music Awards: Favorite Pop/Rock Album (Dangerous), Favorite Soul/R&B Single ("Remember the Time"), and was the first to win the International Artist Award of Excellence. In February, he won the "Living Legend Award" at the 35th Annual Grammy Awards in Los Angeles. He attended the award ceremony with Brooke Shields. Dangerous was nominated for Best Vocal Performance (for "Black or White"), Best R&B Vocal Performance ("Jam") and Best R&B Song ("Jam"), and Bruce Swedien and Teddy Riley won the Grammy for Best Engineered – Non Classical.

He attracted a group of supporters through his classes in socialist theory and co-organised a secret workers' mass meeting for May Day 1900, at which he successfully encouraged many of the men to take strike action.

Jackson's philanthropic activities went beyond just monetary donations. He also performed at benefit concerts, some of which he arranged. He gifted tickets for his regular concert performances to groups that assist underprivileged children. He visited sick children in hospitals around the world. He opened his own home for visits by underprivileged or sick children and provided special facilities and nurses if the children needed that level of care.

He said he had sympathy for the impersonal pantheistic God of Baruch Spinoza's philosophy.

In medical informatics, deep learning was used to predict sleep quality based on data from wearables and predictions of health complications from electronic health record data.

Even taken as is, general relativity is rich with possibilities for further exploration. Mathematical relativists seek to understand the nature of singularities and the fundamental properties of Einstein's equations, while numerical relativists run increasingly powerful computer simulations (such as those describing merging black holes). In February 2016, it was announced that the existence of gravitational waves was directly detected by the Advanced LIGO team on 14 September 2015. A century after its introduction, general relativity remains a highly active area of research.

Unrest soon spread across the Russian Empire in what came to be known as the Revolution of 1905.

France, the Netherlands, Portugal and Spain are also transcontinental (or more properly, intercontinental, when oceans or large seas are involved) in that their main land areas are in Europe while pockets of their territories are located on other continents separated from Europe by large bodies of water.

Although Emperor Franz Joseph was shocked by the incident, political and personal differences meant the two men were not close; allegedly, his first reported comment was "A higher power has re-established the order which I, alas, could not preserve".

The Ethiopian Empire was on the verge of entering World War I on the side of the Central Powers before Iyasu's overthrow at the Battle of Segale due to Allied pressure on the Ethiopian aristocracy.

In 1917, the new Russian Soviet Federative Socialist Republic under Vladimir Lenin in March 1918 signed the Treaty of Brest-Litovsk, amounting to a surrender that was highly favourable to Germany.

Hiroshima was the primary target of the first atomic bombing mission on 6 August, with Kokura and Nagasaki as alternative targets.

This correlates with reports of two torpedoes fired at the light cruiser St.

Japan has the highest ratio of public debt to GDP among advanced economies, with national debt estimated at 248% relative to GDP as of 2022.

Mao desired to become a teacher and enrolled at the Fourth Normal School of Changsha, which soon merged with the First Normal School of Hunan, widely seen as the best in Hunan. Befriending Mao, professor Yang Changji urged him to read a radical newspaper, New Youth (Xin qingnian), the creation of his friend Chen Duxiu, a dean at Peking University. Although he was a supporter of Chinese nationalism, Chen argued that China must look to the west to cleanse itself of superstition and autocracy. In his first school year, Mao befriended an older student, Xiao Zisheng; together they went on a walking tour of Hunan, begging and writing literary couplets to obtain food.

Two economists of the 1920s, Waddill Catchings and William Trufant Foster, popularized a theory that influenced many policy makers, including Herbert Hoover, Henry A. Wallace, Paul Douglas, and Marriner Eccles. It held the economy produced more than it consumed, because the consumers did not have enough income. Thus the unequal distribution of wealth throughout the 1920s caused the Great Depression.

On 25 November 1915, Churchill resigned from the government, although he remained an MP. Asquith rejected his request to be appointed Governor-General of British East Africa.

As mentioned above, a state of a quantum system is given by a unit vector in a Hilbert space. More generally, if one has less information about the system, then one calls it an 'ensemble' and describes it by a density matrix, which is a positive-semidefinite matrix, or a trace class when the state space is infinite-dimensional, and has trace 1. Again, by the spectral theorem, such a matrix takes the general form:

The Selective Service Act of 1917 drafted 2.8 million men, although training and equipping such numbers was a huge logistical challenge.

The Empire of Japan created a number of client states in the areas occupied by its military, beginning with the creation of Manchukuo in 1932.

In 1833, scientific study of a stroboscopic illusion in spoked wheels by Joseph Plateau, Michael Faraday and Simon Stampfer led to the invention of the Fantascope, also known as the stroboscopic disk or the phenakistiscope, which was popular in several European countries for a while. Plateau thought it could be further developed for use in phantasmagoria and Stampfer imagined a system for longer scenes with strips on rollers, as well as a transparent version (probably intended for projection). Plateau, Charles Wheatstone, Antoine Claudet and others tried to combine the technique with the stereoscope (introduced in 1838) and photography (introduced in 1839) for a more complete illusion of reality, but for decades such experiments were mostly hindered by the need for long exposure times, with motion blur around objects that moved while the reflected light fell on the photo-sensitive chemicals. A few people managed to get decent results from stop motion techniques, but these were only very rarely marketed and no form of animated photography had much cultural impact before the advent of chronophotography.

The P versus NP problem, which remains open to this day, is also important for discrete mathematics, since its solution would potentially impact a large number of computationally difficult problems.

The years before 1914 were marked by a series of crises in the Balkans as other powers sought to benefit from Ottoman decline. While Pan-Slavic and Orthodox Russia considered itself the protector of Serbia and other Slav states, they preferred the strategically vital Bosporus straits to be controlled by a weak Ottoman government, rather than an ambitious Slav power like Bulgaria. Since Russia had its own ambitions in northeastern Anatolia and their clients had over-lapping claims in the Balkans, balancing these divided Russian policy-makers and added to regional instability.

Historically influenced by Chinese law, the Japanese legal system developed independently during the Edo period through texts such as Kujikata Osadamegaki. Since the late 19th century, the judicial system has been largely based on the civil law of Europe, notably Germany. In 1896, Japan established a civil code based on the German Bürgerliches Gesetzbuch, which remains in effect with post–World War II modifications. The Constitution of Japan, adopted in 1947, is the oldest unamended constitution in the world. Statutory law originates in the legislature, and the constitution requires that the emperor promulgate legislation passed by the Diet without giving him the power to oppose legislation. The main body of Japanese statutory law is called the Six Codes. Japan's court system is divided into four basic tiers: the Supreme Court and three levels of lower courts.

In 1918, Einstein was one of the founding members of the German Democratic Party, a liberal party.

At the same time, separate Japanese task forces attacked Thailand, British Hong Kong, the Philippines, and other targets.

The United States has the third-largest combined armed forces in the world, behind the Chinese People's Liberation Army and Indian Armed Forces.

Jackson is regarded as a prolific philanthropist and humanitarian. Jackson's early charitable work has been described by The Chronicle of Philanthropy as having "paved the way for the current surge in celebrity philanthropy", and by the Los Angeles Times as having "set the standard for generosity for other entertainers".

The memorials in Hiroshima and Nagasaki contain lists of the names of the hibakusha who are known to have died since the bombings.

Stalin attended the Potsdam Conference in July–August 1945, alongside his new British and U.S. counterparts, Prime Minister Clement Attlee and President Harry Truman. At the conference, Stalin repeated previous promises to Churchill that he would refrain from a "Sovietization" of Eastern Europe. Stalin pushed for reparations from Germany without regard to the base minimum supply for German citizens' survival, which worried Truman and Churchill who thought that Germany would become a financial burden for Western powers. He also pushed for "war booty", which would permit the Soviet Union to directly seize property from conquered nations without quantitative or qualitative limitation, and a clause was added permitting this to occur with some limitations. Germany was divided into four zones: Soviet, U.S., British, and French, with Berlin itself—located within the Soviet area—also subdivided thusly.

Czech music can be considered to have been "beneficial" in both the European and worldwide context, several times co-determined or even determined a newly arriving era in musical art, above all of Classical era, as well as by original attitudes in Baroque, Romantic and modern classical music. Some Czech musical works are The Bartered Bride, New World Symphony, Sinfonietta and Jenůfa.

A member state of the United Nations since 1956, Japan is one of the G4 nations seeking reform of the Security Council. Japan is a member of the G7, APEC, and "ASEAN Plus Three", and is a participant in the East Asia Summit. It is the world's fifth-largest donor of official development assistance, donating US$9.2 billion in 2014. In 2021, Japan had the fourth-largest diplomatic network in the world.

Conscription during the First World War began when the British government passed the Military Service Act in 1916.

About 200 of the machines sold before the company announced the Apple II as a complete computer. It had color graphics, a full QWERTY keyboard, and internal slots for expansion, which were mounted in a high quality streamlined plastic case. The monitor and I/O devices were sold separately. The original Apple II operating system was only the built-in BASIC interpreter contained in ROM. Apple DOS was added to support the diskette drive; the last version was "Apple DOS 3.3".

Machine languages and the assembly languages that represent them (collectively termed low-level programming languages) are generally unique to the particular architecture of a computer's central processing unit (CPU). For instance, an ARM architecture CPU (such as may be found in a smartphone or a hand-held videogame) cannot understand the machine language of an x86 CPU that might be in a PC. Historically a significant number of other cpu architectures were created and saw extensive use, notably including the MOS Technology 6502 and 6510 in addition to the Zilog Z80.

Both Cecil Hepworth and Robert W. Paul experimented with the use of different camera techniques in their films. Paul's 'Cinematograph Camera No. 1' of 1895 was the first camera to feature reverse-cranking, which allowed the same film footage to be exposed several times, thereby creating multiple exposures. This technique was first used in his 1901 film Scrooge, or, Marley's Ghost. Both filmmakers experimented with the speeds of the camera to generate new effects. Paul shot scenes from On a Runaway Motor Car through Piccadilly Circus (1899) by cranking the camera apparatus very slowly. When the film was projected at the usual 16 frames per second, the scenery appeared to be passing at great speed. Hepworth used the opposite effect in The Indian Chief and the Seidlitz Powder (1901). The Chief's movements are sped up by cranking the camera much faster than 16 frames per second, producing what modern audiences would call a "slow motion" effect.

The country has the world's highest vodka consumption, while beer is the most popular alcoholic beverage.

Churchill was a prolific writer. His output included a novel (Savrola), two biographies, three volumes of memoirs, several histories, and numerous press articles. Two of his most famous works, published after his first premiership brought his international fame to new heights, were his six-volume memoir, The Second World War, and the four-volume A History of the English-Speaking Peoples. In recognition of his "mastery of historical and biographical description" and oratorial output, Churchill received the Nobel Prize in Literature in 1953.

Canine hip dysplasia (CHD) is an orthopaedic condition resulting from abnormal development of the hip joint and surrounding tissue causing the instability and partial dislocation of the hip joint, resulting in pain, inflammation, lameness, and potentially osteoarthritis of the joint. German Shepherds are genetically predisposed to CHD and the University of Veterinary Medicine in Germany found its prevalence estimated to be approximately 35% of veterinary cases associated with the disorder.

Around 1715, Herman Moll produced a map showing the northern part of the Ob River and the Irtysh River, a major tributary of the Ob, as components of a series of partly-joined waterways taking the boundary between Europe and Asia from the Turkish Straits, and the Don River all the way to the Arctic Ocean. In 1721, he produced a more up to date map that was easier to read. However, his proposal to adhere to major rivers as the line of demarcation was never taken up by other geographers who were beginning to move away from the idea of water boundaries as the only legitimate divides between Europe and Asia.

There is a long history of Jewish life in Europe, beginning in antiquity.

The secretive Third Front construction involved massive projects including extensive railroad infrastructure like the Chengdu–Kunming line, aerospace industry including satellite launch facilities, and steel production industry including Panzhihua Iron and Steel.

Despite losing the popular vote to Labour, the Conservatives won an overall majority of 17 seats in the October 1951 general election and Churchill again became Prime Minister, remaining in office until his resignation on 5 April 1955. Eden, his eventual successor, was restored to Foreign Affairs, the portfolio with which Churchill was preoccupied throughout his tenure. Future Prime Minister Harold Macmillan was appointed Minister of Housing and Local Government with a manifesto commitment to build 300,000 new houses per annum, Churchill's only real domestic concern. He achieved the target and, in October 1954, was promoted to Minister of Defence.

Of the fifteen million Americans who served in World War II, more than half benefitted from the educational opportunities provided for in the G.I.

A new list of seven important problems, titled the "Millennium Prize Problems", was published in 2000.

Like Compton, many U.S. officials and scientists argued that a demonstration would sacrifice the shock value of the atomic attack, and the Japanese could deny the atomic bomb was lethal, making the mission less likely to produce surrender. Allied prisoners of war might be moved to the demonstration site and be killed by the bomb. They also worried that the bomb might be a failure, as the Trinity test was that of a stationary device, not an air-dropped bomb. In addition, although more bombs were in production, only two would be available at the start of August, and they cost billions of dollars, so using one for a demonstration would be expensive.

Artificial neural networks (ANNs) were inspired by information processing and distributed communication nodes in biological systems. ANNs have various differences from biological brains. Specifically, artificial neural networks tend to be static and symbolic, while the biological brain of most living organisms is dynamic (plastic) and analog.

The demand for consistency between a quantum description of matter and a geometric description of spacetime, as well as the appearance of singularities (where curvature length scales become microscopic), indicate the need for a full theory of quantum gravity: for an adequate description of the interior of black holes, and of the very early universe, a theory is required in which gravity and the associated geometry of spacetime are described in the language of quantum physics. Despite major efforts, no complete and consistent theory of quantum gravity is currently known, even though a number of promising candidates exist.

Soviet Foreign Minister Vyacheslav Molotov had informed Tokyo of the Soviet Union's unilateral abrogation of the Soviet–Japanese Neutrality Pact on 5 April.

As of 2008, researchers at The University of Texas at Austin (UT) developed a machine learning framework called Training an Agent Manually via Evaluative Reinforcement, or TAMER, which proposed new methods for robots or computer programs to learn how to perform tasks by interacting with a human instructor. First developed as TAMER, a new algorithm called Deep TAMER was later introduced in 2018 during a collaboration between U.S. Army Research Laboratory (ARL) and UT researchers. Deep TAMER used deep learning to provide a robot the ability to learn new tasks through observation. Using Deep TAMER, a robot learned a task with a human trainer, watching video streams or observing a human perform a task in-person. The robot later practiced the task with the help of some coaching from the trainer, who provided feedback such as “good job” and “bad job.”

At 08:09, Tibbets started his bomb run and handed control over to his bombardier, Major Thomas Ferebee.

The United States was a neutral country at the time; the attack led to its formal entry into World War II on the side of the Allies the next day.

Like its predecessor, this plan was repeatedly amended to meet changing situations; there was for instance an increasing emphasis placed on armament production after Adolf Hitler became German chancellor in 1933.

A treaty of alliance was concluded between the Ba Maw regime and Japan was signed by Ba Maw for Burma and Sawada Renzo for Japan on the same day in which the Ba Maw government pledged itself to provide the Japanese "with every necessary assistance in order to execute a successful military operation in Burma".

Euclid believed that his axioms were self-evident statements about physical reality. Euclid's proofs depend upon assumptions perhaps not obvious in Euclid's fundamental axioms, in particular that certain movements of figures do not change their geometrical properties such as the lengths of sides and interior angles, the so-called Euclidean motions, which include translations, reflections and rotations of figures. Taken as a physical description of space, postulate 2 (extending a line) asserts that space does not have holes or boundaries; postulate 4 (equality of right angles) says that space is isotropic and figures may be moved to any location while maintaining congruence; and postulate 5 (the parallel postulate) that space is flat (has no intrinsic curvature).

Most of the dimensionality reduction techniques can be considered as either feature elimination or extraction.

A striking aspect of the interaction between mathematics and physics is when mathematics drives research in physics.

Berlin surrendered on 2 May. The remains of the Goebbelss, General Hans Krebs (who had committed suicide that day), and Hitler's dog Blondi were repeatedly buried and exhumed by the Soviets. Hitler’s and Braun’s remains were alleged to have been moved as well, but this is most likely Soviet disinformation. There is no evidence that any identifiable remains of Hitler or Braun—with the exception of dental bridges—were ever found by them. While news of Hitler's death spread quickly, a death certificate was not issued until 1956, after a lengthy investigation to collect testimony from 42 witnesses. Hitler's demise was entered as an assumption of death based on this testimony.

At the start of the war, German cruisers were scattered across the globe, some of which were subsequently used to attack Allied merchant shipping. The British Royal Navy systematically hunted them down, though not without some embarrassment from its inability to protect Allied shipping. For example, the light cruiser SMS Emden, which was part of the German East Asia Squadron stationed at Qingdao, seized or sank 15 merchantmen, as well as a Russian cruiser and a French destroyer. Most of the squadron was returning to Germany when it sank two British armoured cruisers at the Battle of Coronel in November 1914, before being virtually destroyed at the Battle of the Falkland Islands in December. The SMS Dresden escaped with a few auxiliaries, but after the Battle of Más a Tierra, these too had either been destroyed or interned.

The pouring process has an influence on a beer's presentation. The rate of flow from the tap or other serving vessel, tilt of the glass, and position of the pour (in the centre or down the side) into the glass all influence the result, such as the size and longevity of the head, lacing (the pattern left by the head as it moves down the glass as the beer is drunk), and the release of carbonation. A beer tower is a beer dispensing device, usually found in bars and pubs, that consists of a cylinder attached to a beer cooling device at the bottom. Beer is dispensed from the beer tower into a drinking vessel.

At the time, parachutes were too heavy to be used by pilots of aircraft (with their marginal power output), and smaller versions were not developed until the end of the war; they were also opposed by the British leadership, who feared they might promote cowardice.

Pierre de Fermat (1607–1665) never published his writings; in particular, his work on number theory is contained almost entirely in letters to mathematicians and in private marginal notes. In his notes and letters, he scarcely wrote any proofs—he had no models in the area.

Churchill was Great Britain's representative at the post-war Potsdam Conference when it opened on 17 July and was accompanied at its sessions not only by Eden as Foreign Secretary but also, pending the result of the July general election, by Attlee.

In two weeks, the offensive had been repulsed, the Soviets advanced to Vienna, and captured the city.

A popular student, in 1915 Mao was elected secretary of the Students Society. He organised the Association for Student Self-Government and led protests against school rules. Mao published his first article in New Youth in April 1917, instructing readers to increase their physical strength to serve the revolution. He joined the Society for the Study of Wang Fuzhi (Chuan-shan Hsüeh-she), a revolutionary group founded by Changsha literati who wished to emulate the philosopher Wang Fuzhi. In spring 1917, he was elected to command the students' volunteer army, set up to defend the school from marauding soldiers. Increasingly interested in the techniques of war, he took a keen interest in World War I, and also began to develop a sense of solidarity with workers. Mao undertook feats of physical endurance with Xiao Zisheng and Cai Hesen, and with other young revolutionaries they formed the Renovation of the People Study Society in April 1918 to debate Chen Duxiu's ideas. Desiring personal and societal transformation, the Society gained 70–80 members, many of whom would later join the Communist Party. Mao graduated in June 1919, ranked third in the year.

Mao himself claimed that a total of 700,000 people were killed in attacks on "counter-revolutionaries" during the years 1950–1952. Because there was a policy to select "at least one landlord, and usually several, in virtually every village for public execution", the number of deaths range between 2 million and 5 million. In addition, at least 1.5 million people, perhaps as many as 4 to 6 million, were sent to "reform through labour" camps where many perished. Mao played a personal role in organising the mass repressions and established a system of execution quotas, which were often exceeded. He defended these killings as necessary for the securing of power.

Germany re-expanded and took back the Saarland and Rhineland in 1935 and 1936.

Pale lagers are the most commonly consumed type of beer in the world. Lagers are of Central European origin, taking their name from the German lagern ("to store"), and normally use a bottom-fermenting yeast which begin fermenting at 7–12 °C (45–54 °F) (the "fermentation phase"), and then stored at 0–4 °C (32–39 °F) (the "lagering phase"). During the secondary stage, the lager clears and mellows. The cooler conditions also inhibit the natural production of esters and other byproducts, resulting in a "crisper" tasting beer.

Marvel Comics published a Star Wars comic book series from 1977 to 1986. Original Star Wars comics were serialized in the Marvel magazine Pizzazz between 1977 and 1979. The 1977 installments were the first original Star Wars stories not directly adapted from the films to appear in print form, as they preceded those of the Star Wars comic series. From 1985 to 1987, the animated children's series Ewoks and Droids inspired comic series from Marvel's Star Comics line. According to Marvel comics former Editor-In-Chief Jim Shooter, the strong sales of Star Wars comics saved Marvel financially in 1977 and 1978. Marvel's Star Wars series was one of the industry's top selling titles in 1979 and 1980. The only downside for Marvel was that the 100,000 copy sales quota was surpassed quickly, allowing Lippincott to renegotiate the royalty arrangements from a position of strength.

Historian Friedrich Meinecke described Hitler as "one of the great examples of the singular and incalculable power of personality in historical life". English historian Hugh Trevor-Roper saw him as "among the 'terrible simplifiers' of history, the most systematic, the most historical, the most philosophical, and yet the coarsest, cruelest, least magnanimous conqueror the world has ever known". For the historian John M. Roberts, Hitler's defeat marked the end of a phase of European history dominated by Germany. In its place emerged the Cold War, a global confrontation between the Western Bloc, dominated by the United States and other NATO nations, and the Eastern Bloc, dominated by the Soviet Union. Historian Sebastian Haffner asserts that without Hitler and the displacement of the Jews, the modern nation state of Israel would not exist. He contends that without Hitler, the de-colonisation of former European spheres of influence would have been postponed. Further, Haffner claims that other than Alexander the Great, Hitler had a more significant impact than any other comparable historical figure, in that he too caused a wide range of worldwide changes in a relatively short time span.

Despite the referendum results, the Nationalists won a landslide victory at the 1917 federal election.

In his seminal 1927 paper The quantum theory of the emission and absorption of radiation, Dirac coined the term quantum electrodynamics (QED), a theory that adds upon the terms describing the free electromagnetic field an additional interaction term between electric current density and the electromagnetic vector potential. Using first-order perturbation theory, he successfully explained the phenomenon of spontaneous emission. According to the uncertainty principle in quantum mechanics, quantum harmonic oscillators cannot remain stationary, but they have a non-zero minimum energy and must always be oscillating, even in the lowest energy state (the ground state). Therefore, even in a perfect vacuum, there remains an oscillating electromagnetic field having zero-point energy. It is this quantum fluctuation of electromagnetic fields in the vacuum that "stimulates" the spontaneous emission of radiation by electrons in atoms. Dirac's theory was hugely successful in explaining both the emission and absorption of radiation by atoms; by applying second-order perturbation theory, it was able to account for the scattering of photons, resonance fluorescence and non-relativistic Compton scattering. Nonetheless, the application of higher-order perturbation theory was plagued with problematic infinities in calculations.

As a reward, the Axis powers allowed Bulgaria to occupy parts of both countries—southern and south-eastern Yugoslavia (Vardar Banovina) and north-eastern Greece (parts of Greek Macedonia and Greek Thrace).

Two pairs of stars share identical names representing different people. There are two Harrison Ford stars, honoring the silent film actor (at 6665 Hollywood Boulevard), and the present-day actor (in front of the Dolby Theatre at 6801 Hollywood Boulevard). Two Michael Jackson stars represent the pop singer (at 6927 Hollywood Boulevard), and the radio personality (at 1597 Vine Street).

The British Second Army, with some 275,000 veteran soldiers, entered Germany in late 1918.

At the time, he was seeking an alliance with the Weimar Republic against Yugoslavia and France in the dispute over the Free State of Fiume.

Albania was the only European country occupied by the Axis powers that ended World War II with a larger Jewish population than before the war.

Despite his strengthened international position, Stalin was cautious about internal dissent and desire for change among the population. He was also concerned about his returning armies, who had been exposed to a wide range of consumer goods in Germany, much of which they had looted and brought back with them. In this he recalled the 1825 Decembrist Revolt by Russian soldiers returning from having defeated France in the Napoleonic Wars. He ensured that returning Soviet prisoners of war went through "filtration" camps as they arrived in the Soviet Union, in which 2,775,700 were interrogated to determine if they were traitors. About half were then imprisoned in labour camps. In the Baltic states, where there was much opposition to Soviet rule, de-kulakisation and de-clericalisation programs were initiated, resulting in 142,000 deportations between 1945 and 1949. The Gulag system of forced labour camps was expanded further. By January 1953, three per cent of the Soviet population was imprisoned or in internal exile, with 2.8 million in "special settlements" in isolated areas and another 2.5 million in camps, penal colonies, and prisons.

To increase its appeal, the DAP changed its name to the Nationalsozialistische Deutsche Arbeiterpartei (National Socialist German Workers' Party (NSDAP), known colloquially as the "Nazi Party").

In the same year, electro-mechanical devices called bombes were built by British cryptologists to help decipher German Enigma-machine-encrypted secret messages during World War II. The bombe's initial design was created in 1939 at the UK Government Code and Cypher School (GC&CS) at Bletchley Park by Alan Turing, with an important refinement devised in 1940 by Gordon Welchman. The engineering design and construction was the work of Harold Keen of the British Tabulating Machine Company. It was a substantial development from a device that had been designed in 1938 by Polish Cipher Bureau cryptologist Marian Rejewski, and known as the "cryptologic bomb" (Polish: "bomba kryptologiczna").

Rapid economic development during the late 19th and early 20th centuries fostered the rise of many prominent industrialists, largely by their formation of "trusts" and monoplies to prevent competition. Tycoons like Cornelius Vanderbilt, John D. Rockefeller, and Andrew Carnegie led the nation's expansion in the railroad, petroleum, and steel industries. Banking became a major part of the economy, with J. P. Morgan playing a notable role. The United States also emerged as a pioneer of the automotive industry in the early 20th century. These changes were accompanied by significant increases in economic inequality, immigration, and social unrest, which prompted the rise of populist, socialist, and anarchist movements. This period eventually ended with the advent of the Progressive Era, which was characterized by significant reforms, including health and safety regulation of consumer goods, the rise of labor unions, greater antitrust measures to ensure competition among businesses, and improvements in worker conditions.

The alcohol in beer comes primarily from the metabolism of sugars that are produced during fermentation. The quantity of fermentable sugars in the wort and the variety of yeast used to ferment the wort are the primary factors that determine the amount of alcohol in the final beer. Additional fermentable sugars are sometimes added to increase alcohol content, and enzymes are often added to the wort for certain styles of beer (primarily "light" beers) to convert more complex carbohydrates (starches) to fermentable sugars. Alcohol is a by-product of yeast metabolism and is toxic to the yeast in higher concentrations; typical brewing yeast cannot survive at alcohol concentrations above 12% by volume. Low temperatures and too little fermentation time decreases the effectiveness of yeasts and consequently decreases the alcohol content.

Water is the main ingredient in beer, and, though water itself is flavourless, the chemical composition can have an influence on the finished taste; indeed, some brewers regard it as "the most important ingredient in beer". In particular, two styles of beer are especially noted for their water chemistry: pale ale, for which the process of Burtonisation is widespread; and Pilsner.

Russia, as one of the world's only three countries bordering three oceans, has links with a great number of seas.

Resentment caused by the treaty sowed fertile psychological ground for the eventual rise of the Nazi Party, but the German-born Australian historian Jürgen Tampke argued that it was "a perfidious distortion of history" to argue that the terms prevented the growth of democracy in Germany and aided the growth of the Nazi Party; saying that its terms were not as punitive as often held and that German hyper-inflation in the 1920s was partly a deliberate policy to minimise the cost of reparations.

Ewa Thompson points out that the treaty allowed numerous nations in Central and Eastern Europe to liberate themselves from oppressive German rule, a fact that is often neglected by Western historiography, more interested in understanding the German point of view.

It was also the world's first country to develop civilian nuclear power, and to construct the world's first nuclear power plant.

Tandy Corporation (Radio Shack) introduced the TRS-80, retroactively known as the Model I as the company expanded the line with more powerful models. The Model I combined motherboard and keyboard into one unit with a separate black-and-white monitor and power supply. Tandy's 3000+ Radio Shack storefronts ensured the computer would have widespread distribution and support (repair, upgrade, training services) that neither Apple nor Commodore could touch.

Many German officers concluded that defeat was inevitable and that continuing under Hitler's leadership would result in the complete destruction of the country.

The 21st century has been marked by the rise of American streaming platforms, such as Netflix, Disney+, Paramount+, and Apple TV+, which came to rival traditional cinema.

Other desirable properties for estimators include: UMVUE estimators that have the lowest variance for all possible values of the parameter to be estimated (this is usually an easier property to verify than efficiency) and consistent estimators which converges in probability to the true value of such parameter.

The quantum Fourier transform is the quantum analogue of the discrete Fourier transform, and is used in several quantum algorithms. The Hadamard transform is also an example of a quantum Fourier transform over an n-dimensional vector space over the field F2. The quantum Fourier transform can be efficiently implemented on a quantum computer using only a polynomial number of quantum gates.

In this regard, Little Richard said of Presley, "He was an integrator. Elvis was a blessing. They wouldn't let black music through. He opened the door for black music." Al Green agreed: "He broke the ice for all of us."

Work on symbolic/knowledge-based learning did continue within AI, leading to inductive logic programming, but the more statistical line of research was now outside the field of AI proper, in pattern recognition and information retrieval.

British historian Frederick Taylor has pointed out that the number of Soviet citizens who died from German bombing was roughly equivalent to the number of German citizens who died from Allied raids.

Russia had the world's fifth-largest diplomatic network in 2019. It maintains diplomatic relations with 190 United Nations member states, four partially-recognised states, and three United Nations observer states; along with 144 embassies. Russia is one of the five permanent members of the United Nations Security Council. It has historically been a great power, and a former superpower as the leading constituent of the former Soviet Union. Russia is a member of the G20, the OSCE, and the APEC. Russia also takes a leading role in organisations such as the CIS, the EAEU, the CSTO, the SCO, and BRICS.

Russia was plunged into the Russian Revolution, which threw down the Tsarist monarchy and replaced it with the communist Soviet Union, leading also to the independence of many former Russian governorates, such as Finland, Estonia, Latvia and Lithuania, as new European countries.

The Germans also promised Bulgaria — if it joined the Axis — an enlargement of its territory to the borders specified in the Treaty of San Stefano.

These problems can be ameliorated if we assume some structure and allow samples generated from one policy to influence the estimates made for others. The two main approaches for achieving this are value function estimation and direct policy search.

Although the Sol-20 was the first all-in-one system that we would recognize today, the basic concept was already rippling through other members of the group, and interested external companies.