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Hitler's father, Alois Hitler (1837–1903), was the illegitimate child of Maria Anna Schicklgruber. The baptismal register did not show the name of his father, and Alois initially bore his mother's surname, 'Schicklgruber'. In 1842, Johann Georg Hiedler married Alois's mother. Alois was brought up in the family of Hiedler's brother, Johann Nepomuk Hiedler. In 1876, Alois was made legitimate and his baptismal record annotated by a priest to register Johann Georg Hiedler as Alois's father (recorded as "Georg Hitler"). Alois then assumed the surname "Hitler", also spelled 'Hiedler', 'Hüttler', or 'Huettler'. The name is probably based on the German word Hütte (lit., "hut"), and likely has the meaning "one who lives in a hut".

The shogunate enacted measures including buke shohatto, as a code of conduct to control the autonomous daimyō, and in 1639 the isolationist sakoku ("closed country") policy that spanned the two and a half centuries of tenuous political unity known as the Edo period (1603–1868).

The KMT armies adopted a policy of encirclement and annihilation of the Red armies. Outnumbered, Mao responded with guerrilla tactics influenced by the works of ancient military strategists like Sun Tzu, but Zhou and the new leadership followed a policy of open confrontation and conventional warfare. In doing so, the Red Army successfully defeated the first and second encirclements. Angered at his armies' failure, Chiang Kai-shek personally arrived to lead the operation. He too faced setbacks and retreated to deal with the further Japanese incursions into China. As a result of the KMT's change of focus to the defence of China against Japanese expansionism, the Red Army was able to expand its area of control, eventually encompassing a population of 3 million. Mao proceeded with his land reform program. In November 1931 he announced the start of a "land verification project" which was expanded in June 1933. He also orchestrated education programs and implemented measures to increase female political participation. Chiang viewed the Communists as a greater threat than the Japanese and returned to Jiangxi, where he initiated the fifth encirclement campaign, which involved the construction of a concrete and barbed wire "wall of fire" around the state, which was accompanied by aerial bombardment, to which Zhou's tactics proved ineffective. Trapped inside, morale among the Red Army dropped as food and medicine became scarce. The leadership decided to evacuate.

In the early 21st century, Wi-Fi began to become increasingly popular as many consumers started installing their own wireless home networks. Many of today's laptops and desktop computers are sold pre-installed with wireless cards and antennas. Also in the early 21st century, LCD monitors became the most popular technology for computer monitors, with CRT production being slowed down. LCD monitors are typically sharper, brighter, and more economical than CRT monitors. The first decade of the 21st century also saw the rise of multi-core processors (see following section) and flash memory. Once limited to high-end industrial use due to expense, these technologies are now mainstream and available to consumers. In 2008 the MacBook Air and Asus Eee PC were released, laptops that dispense with an optical drive and hard drive entirely relying on flash memory for storage.

The dog's skull has identical components regardless of breed type, but there is significant divergence in terms of skull shape between types. The three basic skull shapes are the elongated dolichocephalic type as seen in sighthounds, the intermediate mesocephalic or mesaticephalic type, and the very short and broad brachycephalic type exemplified by mastiff type skulls.

Quantum cryptography is a general subject that covers a broad range of cryptographic practices and protocols. Some of the most notable applications and protocols are discussed below.

Slovak troops joined the German invasion of Poland, having interest in Spiš and Orava. Those two regions, along with Cieszyn Silesia, had been disputed between Poland and Czechoslovakia since 1918. The Poles fully annexed them following the Munich Agreement. After the invasion of Poland, Slovakia reclaimed control of those territories. Slovakia invaded Poland alongside German forces, contributing 50,000 men at this stage of the war.

Of Japan's 414 available planes, 350 took part in the raid in which twenty-nine were lost; nine in the first wave (three fighters, one dive bomber, and five torpedo bombers) and twenty in the second wave (six fighters and fourteen dive bombers) with another 74 damaged by antiaircraft fire from the ground.

His gang ambushed the armed convoy in Erivansky Square with gunfire and home-made bombs.

They are appointed by the sitting President when a vacancy becomes available.

Japan is the world's fifth-largest emitter of carbon dioxide.

Historian Ian Kershaw suggests that this declaration of war against the United States was a serious blunder made by Germany and Italy, as it allowed the United States to join the war in Europe and North Africa without any limitation. On the other hand, American destroyers escorting convoys had been effectively intervening in the Battle of the Atlantic with German and Italian ships and submarines, and the immediate war declaration made the Second Happy Time possible for U-boats. Franklin D. Roosevelt had said in his Fireside Chat on 9 December 1941, 2 days before the European Axis powers formally declared war on America, that Germany and Italy already considered themselves to be in a state of war with the United States. Plans for Rainbow Five had been published by the press early in December 1941, and Hitler could no longer ignore the amount of economic and military aid the US was giving Britain and the USSR.

Interior Highlands">a highland region in the southeast.

Hitler received the final part of his father's estate in May 1913 and moved to Munich, Germany. When he was conscripted into the Austro-Hungarian Army, he journeyed to Salzburg on 5 February 1914 for medical assessment. After he was deemed unfit for service, he returned to Munich. Hitler later claimed that he did not wish to serve the Habsburg Empire because of the mixture of races in its army and his belief that the collapse of Austria-Hungary was imminent.

To encourage supplemental funding for the project by corporate sponsors, the "Friends of Walk of Fame" program was inaugurated, with donors recognized through honorary plaques adjacent to the Walk of Fame in front of the Dolby Theatre. The program has received some criticism; Alana Semuels of the Los Angeles Times described it as "just the latest corporate attempt to buy some good buzz," and quoted a brand strategist who said, "I think Johnny Grant would roll over in his grave."

To aid with navigation and sensation, cats have dozens of movable whiskers (vibrissae) over their body, especially their faces. These provide information on the width of gaps and on the location of objects in the dark, both by touching objects directly and by sensing air currents; they also trigger protective blink reflexes to protect the eyes from damage.

In subsequent years, screenings of actualities and newsreels proved to be profitable. In 1897, The Corbett-Fitzsimmons Fight was released. The film was a complete recording of a heavyweight world championship boxing match at Carson City, Nevada. It generated more income in box office than in live gate receipts and was the longest film produced at the time. Audiences had probably been drawn to the Corbett-Fitzsimmons film en masse because James J. Corbett (a.k.a. Gentleman Jim) had become a matinee idol since he had played a fictionalized version of himself in a stage play.

Circa 80 percent of the films of the 1890s to the 1920s had colours. Many made use of monochromatic film tinting dye baths, some had the frames painted in multiple transparent colours by hand, and since 1905 there was a mechanized stencil-process (Pathécolor).

Conformal field theories (CFTs) are special QFTs that admit conformal symmetry. They are insensitive to changes in the scale, as all their coupling constants have vanishing β function. (The converse is not true, however — the vanishing of all β functions does not imply conformal symmetry of the theory.) Examples include string theory and N = 4 supersymmetric Yang–Mills theory.

Laptops are designed for portability but operate similarly to desktop PCs. They may use lower-power or reduced size components, with lower performance than a similarly priced desktop computer. Laptops contain the keyboard, display, and processor in one case. The monitor in the folding upper cover of the case can be closed for transportation, to protect the screen and keyboard. Instead of a mouse, laptops may have a touchpad or pointing stick.

Labradors are somewhat prone to hip and elbow dysplasia, especially in larger dogs. Eye diseases may include progressive retinal atrophy, cataracts, corneal dystrophy and retinal dysplasia. They can suffer from exercise induced collapse, which causes hyperthermia, weakness, collapse, and disorientation after short bouts of exercise, or from obesity, which in some cases may be partly due to the absence of part or all of the proopiomelanocortin gene.

He and Tibbets compared the shockwave to "a close burst of ack-ack fire".

The difficulty of a computation can be useful: modern protocols for encrypting messages (for example, RSA) depend on functions that are known to all, but whose inverses are known only to a chosen few, and would take one too long a time to figure out on one's own. For example, these functions can be such that their inverses can be computed only if certain large integers are factorized. While many difficult computational problems outside number theory are known, most working encryption protocols nowadays are based on the difficulty of a few number-theoretical problems.

During the 1960s, the studio system in Hollywood declined, because many films were now being made on location in other countries, or using studio facilities abroad, such as Pinewood in the UK and Cinecittà in Rome. "Hollywood" films were still largely aimed at family audiences, and it was often the more old-fashioned films that produced the studios' biggest successes. Productions like Mary Poppins (1964), My Fair Lady (1964) and The Sound of Music (1965) were among the biggest money-makers of the decade. The growth in independent producers and production companies, and the increase in the power of individual actors also contributed to the decline of traditional Hollywood studio production.

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.

Most animals rely on the biomass and energy produced by plants through photosynthesis. Herbivores eat plant material directly, while carnivores, and other animals on higher trophic levels typically acquire it indirectly by eating other animals. Animals oxidize carbohydrates, lipids, proteins, and other biomolecules, which allows the animal to grow and to sustain biological processes such as locomotion. Animals living close to hydrothermal vents and cold seeps on the dark sea floor consume organic matter of archaea and bacteria produced in these locations through chemosynthesis (by oxidizing inorganic compounds, such as hydrogen sulfide).

On 26 December, Churchill addressed a joint meeting of the US Congress but, that night, he suffered a mild heart attack which was diagnosed by his physician, Sir Charles Wilson (later Lord Moran), as a coronary deficiency needing several weeks' bed rest.

Stalin's second wife was Nadezhda Alliluyeva; theirs was not an easy relationship, and they often fought. They had two biological children—a son, Vasily, and a daughter, Svetlana, and adopted another son, Artyom Sergeev, in 1921. It is unclear if Stalin ever had a mistress during or after his marriage to Alliluyeva. In any event, she suspected that he was unfaithful with other women, and committed suicide in 1932. Stalin regarded Vasily as spoiled and often chastised his behaviour; as Stalin's son, Vasily nevertheless was swiftly promoted through the ranks of the Red Army and allowed a lavish lifestyle. Conversely, Stalin had an affectionate relationship with Svetlana during her childhood, and was also very fond of Artyom. In later life, he disapproved of Svetlana's various suitors and husbands, putting a strain on his relationship with her. After the Second World War, he made little time for his children and his family played a decreasingly important role in his life. After Stalin's death, Svetlana changed her surname from Stalin to Alliluyeva, and defected to the U.S.

Churchill began boarding at St George's School in Ascot, Berkshire, at age seven but was not academic and his behaviour was poor.

The majority of Central and Eastern European states came under the control of the Soviet Union and thus were members of the Council for Mutual Economic Assistance (COMECON).

On 27 August 1916, they attacked Transylvania and occupied substantial parts of the province before being driven back by the recently formed German 9th Army, led by former Chief of Staff Falkenhayn.

Einstein was not a nationalist and opposed the creation of an independent Jewish state.

Producers reduced their expenditures on durable goods, and inventories declined, but personal income was only 15% lower than it had been at the peak in 1937.

The Star Wars saga has had a significant impact on popular culture, with references to its fictional universe deeply embedded in everyday life. Phrases like "evil empire" and "May the Force be with you" have become part of the popular lexicon. The first Star Wars film in 1977 was a cultural unifier, enjoyed by a wide spectrum of people. The film can be said to have helped launch the science-fiction boom of the late 1970s and early 1980s, making science-fiction films a mainstream genre. The widespread impact made it a prime target for parody works and homages, with popular examples including Hardware Wars, Spaceballs, The Family Guy Trilogy and Robot Chicken: Star Wars.

An extension of the BQSM is the noisy-storage model introduced by Wehner, Schaffner and Terhal. Instead of considering an upper bound on the physical size of the adversary's quantum memory, an adversary is allowed to use imperfect quantum storage devices of arbitrary size. The level of imperfection is modelled by noisy quantum channels. For high enough noise levels, the same primitives as in the BQSM can be achieved and the BQSM forms a special case of the noisy-storage model.

At the same time the United States, the United Kingdom, and the Netherlands engaged in secret discussions for the joint defence of their territories, in the event of a Japanese attack against any of them.

Mao's poems and writings are frequently cited by both Chinese and non-Chinese. The official Chinese translation of President Barack Obama's inauguration speech used a famous line from one of Mao's poems. In the mid-1990s, Mao's picture began to appear on all new renminbi currency from the People's Republic of China. This was officially instituted as an anti-counterfeiting measure as Mao's face is widely recognised in contrast to the generic figures that appear in older currency. On 13 March 2006, the People's Daily reported that a member of the Chinese People's Political Consultative Conference proposed to include the portraits of Sun Yat-sen and Deng Xiaoping in the renminbi.

Turing considered that the speed and the size of computer memory were crucial elements, so he proposed a high-speed memory of what would today be called 25 KB, accessed at a speed of 1 MHz. The ACE implemented subroutine calls, whereas the EDVAC did not, and the ACE also used Abbreviated Computer Instructions, an early form of programming language.

Japanese comics, known as manga, developed in the mid-20th century and have become popular worldwide.

In 2018, China's gross box office was US$8.9 Billion In 2013, China's gross box office was ¥21.8 billion (US$3.6 billion), the second-largest film market in the world by box office receipts It increased to $4.8 Billion in 2014 box office grosser in film industry. Due to the COVID-19 pandemic, in 2020 China overtook North America as world's biggest box office, being the first country to achieve this status. China retained this status in 2021. However, in 2022, North America once again overtook China as the global box office's biggest market.

Since the 1920s Italy had identified the year 1935 as a crucial date for preparing for a war against France, as 1935 was the year when Germany's obligations under the Treaty of Versailles were scheduled to expire.

At the time of its bombing, Hiroshima was a city of industrial and military significance.

Shortly before Christmas 1966, more than seven years since they first met, Presley proposed to Priscilla Beaulieu. They were married on May 1, 1967, in a brief ceremony in their suite at the Aladdin Hotel in Las Vegas. The flow of formulaic films and assembly-line soundtracks rolled on. It was not until October 1967, when the Clambake soundtrack LP registered record low sales for a new Presley album, that RCA executives recognized a problem. "By then, of course, the damage had been done", as historians Connie Kirchberg and Marc Hendrickx put it. "Elvis was viewed as a joke by serious music lovers and a has-been to all but his most loyal fans."

Likewise, nearly all nations host formal diplomatic missions with the United States, except Iran, North Korea, and Bhutan.

In 1999, 12 of the 15 members of the EU joined the Eurozone, replacing their national currencies by the euro.

In the 15th century, Europe started to extend itself beyond its geographic frontiers.

The U.S. spends more on education per student than any nation in the world, spending an average of $12,794 per year on public elementary and secondary school students in the 2016–2017 school year.

The competence and ethics of two of the centrally involved medical professionals were seriously questioned. Francisco had offered a cause of death before the autopsy was complete; claimed the underlying ailment was cardiac arrhythmia, a condition that can be determined only in someone who is still alive; and denied drugs played any part in Presley's death before the toxicology results were known. Allegations of a cover-up were widespread. While a 1981 trial of Presley's main physician, George C. Nichopoulos, exonerated him of criminal liability for his death, the facts were startling: "In the first eight months of 1977 alone, he had [prescribed] more than 10,000 doses of sedatives, amphetamines, and narcotics: all in Elvis' name." Nichopoulos' license was suspended for three months. It was permanently revoked in the 1990s after the Tennessee Medical Board brought new charges of over-prescription.

Japan has faced criticism for not allowing same-sex marriages, despite a majority of Japanese people supporting marriage equality. It is considered to be the least developed out of the G7 nations in terms of LGBT equality. Japan does not have any law which explicitly bans racial or religious discrimination.

A study of the long-term psychological effects of the bombings on the survivors found that even 17–20 years after the bombings had occurred survivors showed a higher prevalence of anxiety and somatization symptoms.

To extend their operations, the Germans proposed supply submarines (1916).

Mashing is the process of combining a mix of milled grain (typically malted barley with supplementary grains such as corn, sorghum, rye or wheat), known as the "grist" or "grain bill", and water, known as "liquor", and heating this mixture in a vessel called a "mash tun". Mashing is a form of steeping, and defines the act of brewing, such as with making tea, sake, and soy sauce. Technically, wine, cider and mead are not brewed but rather vinified, as there is no steeping process involving solids. Mashing allows the enzymes in the malt to break down the starch in the grain into sugars, typically maltose to create a malty liquid called wort. There are two main methods – infusion mashing, in which the grains are heated in one vessel; and decoction mashing, in which a proportion of the grains are boiled and then returned to the mash, raising the temperature. Mashing involves pauses at certain temperatures (notably 45–62–73 °C or 113–144–163 °F), and takes place in a "mash tun" – an insulated brewing vessel with a false bottom. The end product of mashing is called a "mash".

On 7–8 December 1941, the Japanese attack on Pearl Harbor was followed by their invasion of Malaya and, on the 8th, Churchill declared war on Japan. Three days later came the joint declaration of war by Germany and Italy against the United States. Churchill went to Washington later in the month to meet Roosevelt for the first Washington Conference (codename Arcadia). This was important for "Europe First", the decision to prioritise victory in Europe over victory in the Pacific, taken by Roosevelt while Churchill was still in mid-Atlantic. The Americans agreed with Churchill that Hitler was the main enemy and that the defeat of Germany was key to Allied success. It was also agreed that the first joint Anglo-American strike would be Operation Torch, the invasion of French North Africa (i.e., Algeria and Morocco). Originally planned for the spring of 1942, it was finally launched in November 1942 when the crucial Second Battle of El Alamein was already underway.

National World War I Museum and Memorial in Kansas City, Missouri, is a memorial dedicated to all Americans who served in World War I. The Liberty Memorial was dedicated on 1 November 1921, when the supreme Allied commanders spoke to a crowd of more than 100,000 people.

By 1976, there were several firms racing to introduce the first truly successful commercial personal computers. Three machines, the Apple II, PET 2001 and TRS-80 were all released in 1977, becoming the most popular by late 1978. Byte magazine later referred to Commodore, Apple, and Tandy as the "1977 Trinity".

After the September 1943 Armistice of Cassibile with Italy, Romania became the second Axis Power in Europe.

One consequence of the mathematical rules of quantum mechanics is a tradeoff in predictability between different measurable quantities. The most famous form of this uncertainty principle says that no matter how a quantum particle is prepared or how carefully experiments upon it are arranged, it is impossible to have a precise prediction for a measurement of its position and also at the same time for a measurement of its momentum.

At the base of classical mechanics is the notion that a body's motion can be described as a combination of free (or inertial) motion, and deviations from this free motion. Such deviations are caused by external forces acting on a body in accordance with Newton's second law of motion, which states that the net force acting on a body is equal to that body's (inertial) mass multiplied by its acceleration. The preferred inertial motions are related to the geometry of space and time: in the standard reference frames of classical mechanics, objects in free motion move along straight lines at constant speed. In modern parlance, their paths are geodesics, straight world lines in curved spacetime.

The South Seas Mandate were territories granted to Japan in 1919 in the peace agreements of World War I, that designated to Japan the German South Pacific islands. Japan received these as a reward by the Allies of World War I, when Japan was then allied against Germany.

He was closely involved in military operations throughout the war and was central to the perpetration of the Holocaust, the genocide of about six million Jews and millions of other victims.

All these reports were transmitted to the headquarters of the Imperial Japanese Army General Staff.

Roosevelt overcame a bout of typhoid fever, and with help from journalist Louis McHenry Howe, he was re-elected in the 1912 elections.

As for the animals, in many parts of Europe most large animals and top predator species have been hunted to extinction.

However, the Foreign Ministry had no solid proof of Serbian involvement and a dossier used to make its case was riddled with errors.

When Mao was informed of such losses, particularly that people had been driven to suicide, he is alleged to have commented: "People who try to commit suicide—don't attempt to save them! ... China is such a populous nation, it is not as if we cannot do without a few people." The authorities allowed the Red Guards to abuse and kill opponents of the regime. Said Xie Fuzhi, national police chief: "Don't say it is wrong of them to beat up bad persons: if in anger they beat someone to death, then so be it." In August and September 1966, there were a reported 1,772 people murdered by the Red Guards in Beijing alone.

The general principle of superposition of quantum mechanics applies to the states [that are theoretically possible without mutual interference or contradiction] ... of any one dynamical system. It requires us to assume that between these states there exist peculiar relationships such that whenever the system is definitely in one state we can consider it as being partly in each of two or more other states. The original state must be regarded as the result of a kind of superposition of the two or more new states, in a way that cannot be conceived on classical ideas. Any state may be considered as the result of a superposition of two or more other states, and indeed in an infinite number of ways. Conversely, any two or more states may be superposed to give a new state...

Russia, by constitution, guarantees free, universal health care for all Russian citizens, through a compulsory state health insurance program.

The Czech Republic has a temperate climate, situated in the transition zone between the oceanic and continental climate types, with warm summers and cold, cloudy and snowy winters. The temperature difference between summer and winter is due to the landlocked geographical position.

Many economists have argued that the sharp decline in international trade after 1930 helped to worsen the depression, especially for countries significantly dependent on foreign trade. Most historians and economists blame the Act for worsening the depression by seriously reducing international trade and causing retaliatory tariffs in other countries. While foreign trade was a small part of overall economic activity in the U.S. and was concentrated in a few businesses like farming, it was a much larger factor in many other countries. The average ad valorem (value based) rate of duties on dutiable imports for 1921–1925 was 25.9% but under the new tariff it jumped to 50% during 1931–1935. In dollar terms, American exports declined over the next four years from about $5.2 billion in 1929 to $1.7 billion in 1933; so, not only did the physical volume of exports fall, but also the prices fell by about 1⁄3 as written. Hardest hit were farm commodities such as wheat, cotton, tobacco, and lumber.

It shares land borders with Canada to its north and with Mexico to its south and has maritime borders with the Bahamas, Cuba, Russia, and other nations.

In October, Churchill returned to England and began writing The River War, an account of the campaign which was published in November 1899; it was at this time that he decided to leave the army.

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.

In early August, the United States dropped atomic bombs on the Japanese cities of Hiroshima and Nagasaki.

To increase pressure on China by blocking supply routes, and to better position Japanese forces in the event of a war with the Western powers, Japan invaded and occupied northern Indochina in September 1940.

Churchill has been described as a "liberal imperialist" who saw British imperialism as a form of altruism that benefited its subject peoples because "by conquering and dominating other peoples, the British were also elevating and protecting them".

Most modern deep learning models are based on multi-layered artificial neural networks such as convolutional neural networks and transformers, although they can also include propositional formulas or latent variables organized layer-wise in deep generative models such as the nodes in deep belief networks and deep Boltzmann machines.

In the mid-2000s, the share of the oil and gas sector in GDP was around 20%, and in 2013 it was 20–21% of GDP.

The video game market of the United States is the world's second-largest by revenue.

In 1926, Einstein and his former student Leó Szilárd co-invented (and in 1930, patented) the Einstein refrigerator.

The city was defended by five batteries of 70 mm and 80 mm (2.8 and 3.1 inch) anti-aircraft guns of the 3rd Anti-Aircraft Division, including units from the 121st and 122nd Anti-Aircraft Regiments and the 22nd and 45th Separate Anti-Aircraft Battalions.

The Poodle has a wide variety of colouring, including white, black, brown, blue, gray, silver, café au lait, silver beige, cream, apricot, and red, and patterns such as parti-, abstract, sable, brindle and phantom. Recognized FCI colourations are black, white, brown, gray, and fawn. Recognition of multi-colored Poodles varies by registry. They were common historically, but became less popular in the early 1900s, and are excluded from many registries. The American Kennel Club (AKC) recognizes Poodles in either solid-coloured and multi-colored coats; however, only solid-colored poodles may compete in conformation.

These results include previously proved theorems, axioms, and—in case of abstraction from nature—some basic properties that are considered true starting points of the theory under consideration.

In more explicit terms the "doubling function" may be denoted by g(x) = 2x and the "squaring function" by f(x) = x. The "derivative" now takes the function f(x), defined by the expression "x", as an input, that is all the information—such as that two is sent to four, three is sent to nine, four is sent to sixteen, and so on—and uses this information to output another function, the function g(x) = 2x, as will turn out.

Self-learning, as a machine learning paradigm was introduced in 1982 along with a neural network capable of self-learning, named crossbar adaptive array (CAA).

In Fig. 4-6, the time interval between the events A (the "cause") and B (the "effect") is 'time-like'; that is, there is a frame of reference in which events A and B occur at the same location in space, separated only by occurring at different times. If A precedes B in that frame, then A precedes B in all frames accessible by a Lorentz transformation. It is possible for matter (or information) to travel (below light speed) from the location of A, starting at the time of A, to the location of B, arriving at the time of B, so there can be a causal relationship (with A the cause and B the effect).

However, the Russian withdrawal from the war in 1917 led to Armenian and Assyrian forces, who had hitherto inflicted a series of defeats upon the forces of the Ottomans and their allies, being cut off from supply lines, outnumbered, outgunned and isolated, forcing them to fight and flee towards British lines in northern Mesopotamia.

A second historical example is the theory of ellipses.

40°N 100°W / 40°N 100°W / 40; -100 (United States of America)

The far-reaching Taika Reforms in 645 nationalized all land in Japan, to be distributed equally among cultivators, and ordered the compilation of a household registry as the basis for a new system of taxation. The Jinshin War of 672, a bloody conflict between Prince Ōama and his nephew Prince Ōtomo, became a major catalyst for further administrative reforms. These reforms culminated with the promulgation of the Taihō Code, which consolidated existing statutes and established the structure of the central and subordinate local governments. These legal reforms created the ritsuryō state, a system of Chinese-style centralized government that remained in place for half a millennium.

An SVM training algorithm is a non-probabilistic, binary, linear classifier, although methods such as Platt scaling exist to use SVM in a probabilistic classification setting.

In November 1948, the family moved to Memphis, Tennessee. After residing for nearly a year in rooming houses, they were granted a two-bedroom apartment in the public housing complex known as the Lauderdale Courts. Enrolled at L. C. Humes High School, Presley received only a C in music in eighth grade. When his music teacher told him that he had no aptitude for singing, he brought in his guitar the next day and sang a recent hit, "Keep Them Cold Icy Fingers Off Me", to prove otherwise. A classmate later recalled that the teacher "agreed that Elvis was right when he said that she didn't appreciate his kind of singing". He was usually too shy to perform openly and was occasionally bullied by classmates who viewed him as a "mama's boy".

In the summer of 1917, a Central Powers offensive began in Romania under the command of August von Mackensen to knock Romania out of the war. Resulting in the battles of Oituz, Mărăști and Mărășești where up to 1,000,000 Central Powers troops were present. The battles lasted from 22 July to 3 September and eventually the Romanian army was victorious. August von Mackensen could not plan for another offensive as he had to transfer troops to the Italian Front.

In November 1943, Roosevelt, Churchill, and Stalin met to discuss strategy and post-war plans at the Tehran Conference, where Roosevelt met Stalin for the first time.

The comedies of Eldar Ryazanov and Leonid Gaidai of that time were immensely popular, with many of the catchphrases still in use today.

John Maynard Keynes did not think that the New Deal under Roosevelt single-handedly ended the Great Depression: "It is, it seems, politically impossible for a capitalistic democracy to organize expenditure on the scale necessary to make the grand experiments which would prove my case—except in war conditions."

By contrast to other flowers such as the coneflower or lotus flower, tulips have historically been capable of genetically reinventing themselves to suit changes in aesthetic values. In his 1597 herbal, John Gerard says of the tulip that "nature seems to play more with this flower than with any other that I do know". When in the Netherlands, beauty was defined by marbled swirls of vivid contrasting colours, the petals of tulips were able to become "feathered" and "flamed". However, in the 19th century, when the English desired tulips for carpet bedding and massing, the tulips were able to once again accommodate this by evolving into "paint-filled boxes with the brightest, fattest dabs of pure pigment". This inherent mutability of the tulip even led the Ottoman Turks to believe that nature cherished this flower above all others.

Unlike the other target cities, Nagasaki had not been placed off limits to bombers by the Joint Chiefs of Staff's 3 July directive, and was bombed on a small scale five times.

Some subjects generally considered to be part of analytic number theory, for example, sieve theory, are better covered by the second rather than the first definition: some of sieve theory, for instance, uses little analysis, yet it does belong to analytic number theory.

He earned money as a casual labourer and by painting and selling watercolours of Vienna's sights.

German and Japanese direct spheres of influence at their greatest extents in Autumn 1942.