paragraph_text: Avicenna's astronomical writings had some influence on later writers, although in general his work could be considered less developed than Alhazen or Al-Biruni. One important feature of his writing is that he considers mathematical astronomy as a separate discipline to astrology. He criticized Aristotle's view of the stars receiving their light from the Sun, stating that the stars are self-luminous, and believed that the planets are also self-luminous. He claimed to have observed Venus as a spot on the Sun. This is possible, as there was a transit on May 24, 1032, but Avicenna did not give the date of his observation, and modern scholars have questioned whether he could have observed the transit from his location at that time; he may have mistaken a sunspot for Venus. He used his transit observation to help establish that Venus was, at least sometimes, below the Sun in Ptolemaic cosmology, i.e. the sphere of Venus comes before the sphere of the Sun when moving out from the Earth in the prevailing geocentric model.

paragraph_text: An example of spheres of influence was China in the late 19th and early 20th Century, when Britain, France, Germany, and Russia (later replaced by Japan) had de facto control over large swaths of territory. These were taken by unequal treaties or as very long term ``leases ''. These powers (and the United States) might have their own courts, post offices, commercial institutions, railroads, and gunboats in what was on paper Chinese territory. However, the foreign powers and their influence in some cases could have been exaggerated. The system ended with the Second World War.

paragraph_text: The region of Auvergne was named after the Arverni, one of the most powerful Gallic tribes. It was composed of the Gabali, the Vellavi, and the Cadurci, whose sphere of influence included the regions of Languedoc and Aquitaine. Vercingetorix was elected king in 52 BC. His father, Celtillos, his predecessor, had been killed by his companions who opposed Celtillos' goal of making the title hereditary.

paragraph_text: The word "public" implies the highest level of inclusivity – the public sphere by definition should be open to all. However, this sphere was only public to relative degrees. Enlightenment thinkers frequently contrasted their conception of the "public" with that of the people: Condorcet contrasted "opinion" with populace, Marmontel "the opinion of men of letters" with "the opinion of the multitude," and d'Alembert the "truly enlightened public" with "the blind and noisy multitude". Additionally, most institutions of the public sphere excluded both women and the lower classes. Cross-class influences occurred through noble and lower class participation in areas such as the coffeehouses and the Masonic lodges.

paragraph_text: Rank Country / Region 2011 2012 2013 2014 2015 2016 World 137,000 186,000 200,000 209,000 194,000 160,000 170,000 China 57,800 60,000 80,000 105,000 110,000 62,000 60,000 Russia 25,800 40,000 44,000 44,000 42,000 40,000 38,000 Japan 31,600 56,000 40,000 42,000 25,000 42,000 54,000 Kazakhstan 14,500 20,700 25,000 12,000 9,000 9,000 9,000 Ukraine 7,400 9,000 10,000 6,300 7,200 7,700 7,500 6 India - - - - - 500 500

paragraph_text: The doctrine of laissez - faire became an integral part of nineteenth - century European liberalism. Just as liberals supported freedom of thought in the intellectual sphere, so were they equally prepared to champion the principles of free trade and free competition in the sphere of economics. The state was to be merely a passive policeman, protecting private property and administering justice, but not interfering with the affairs of its citizens. Businessmen and particularly British industrialists were quick to associate these principles with their own economic interests. Many of the ideas of the physiocrats spread throughout Europe and were adopted to a greater or lesser extent in Sweden, Tuscany, Spain and after 1776 in the newly created United States. Adam Smith, author of The Wealth of Nations, met Quesnay and acknowledged his influence.

paragraph_text: Most notably, there was also a secret protocol to the pact, revealed only after Germany's defeat in 1945, although hints about its provisions were leaked much earlier, e.g., to influence Lithuania. According to said protocol Romania, Poland, Lithuania, Latvia, Estonia and Finland were divided into German and Soviet "spheres of influence". In the north, Finland, Estonia and Latvia were assigned to the Soviet sphere. Poland was to be partitioned in the event of its "political rearrangement"—the areas east of the Pisa, Narev, Vistula and San rivers going to the Soviet Union while Germany would occupy the west. Lithuania, adjacent to East Prussia, would be in the German sphere of influence, although a second secret protocol agreed to in September 1939 reassigned the majority of Lithuania to the USSR. According to the secret protocol, Lithuania would be granted the city of Vilnius – its historical capital, which was under Polish control during the inter-war period. Another clause of the treaty was that Germany would not interfere with the Soviet Union's actions towards Bessarabia, then part of Romania; as the result, Bessarabia was joined to the Moldovan ASSR, and become the Moldovan SSR under control of Moscow.

paragraph_text: Titanium was first introduced into surgeries in the 1950s after having been used in dentistry for a decade prior. It is now the metal of choice for prosthetics, internal fixation, inner body devices, and instrumentation. Titanium is used from head to toe in biomedical implants. One can find titanium in neurosurgery, bone conduction hearing aids, false eye implants, spinal fusion cages, pacemakers, toe implants, and shoulder / elbow / hip / knee replacements along with many more. The main reason why titanium is often used in the body is due to titanium's biocompatibility and, with surface modifications, bioactive surface. The surface characteristics that affect biocompatibility are surface texture, steric hindrance, binding sites, and hydrophobicity (wetting). These characteristics are optimized to create an ideal cellular response. Some medical implants, as well as parts of surgical instruments are coated with titanium nitride (TiN).

paragraph_text: In mathematics, particularly geometry, Viviani's curve, also known as Viviani's window, is a figure eight shaped space curve named after the Italian mathematician Vincenzo Viviani, the intersection of a sphere with a cylinder that is tangent to the sphere and passes through the center of the sphere. Before Viviani this curve was studied by Simon de La Loubère and Gilles de Roberval.

paragraph_text: The culture of Vietnam is one of the oldest in Southeast Asia, with the ancient Bronze age Đông Sơn culture being widely considered one of its most important progenitors. Due to a millennium of Chinese rule, Vietnam was heavily influenced by Chinese culture in terms of politics, government, Confucian social and moral ethics, and art. Vietnam is considered to be part of the East Asian cultural sphere.

paragraph_text: The Roche lobe is different from the Roche sphere which approximates the gravitational sphere of influence of one astronomical body in the face of perturbations from another heavier body around which it orbits. It is different from the Roche limit which is the distance at which an object held together only by gravity begins to break up due to tidal forces. The Roche lobe, Roche limit and Roche sphere are named after the French astronomer Édouard Roche.

paragraph_text: After Cao's defeat at the naval Battle of Red Cliffs in 208 AD, China was divided into three spheres of influence, with Cao Cao dominating the north, Sun Quan (182–252 AD) dominating the south, and Liu Bei (161–223 AD) dominating the west. Cao Cao died in March 220 AD. By December his son Cao Pi (187–226 AD) had Emperor Xian relinquish the throne to him and is known posthumously as Emperor Wen of Wei. This formally ended the Han dynasty and initiated an age of conflict between three states: Cao Wei, Eastern Wu, and Shu Han.

paragraph_text: The Kodal mine is one of the largest titanium mines in Norway. The mine is located in Vestfold. The mine has reserves amounting to 70 million tonnes of ore grading 8% titanium.

paragraph_text: The culture in Southeast Asia is very diverse: on mainland Southeast Asia, the culture is a mix of Indochinese (Burma, Cambodia, Laos and Thailand) and Chinese (Singapore and Vietnam). While in Indonesia, the Philippines and Malaysia the culture is a mix of indigenous Austronesian, Indian, Islamic, Western, and Chinese cultures. Also Brunei shows a strong influence from Arabia. Singapore and Vietnam show more Chinese influence in that Singapore, although being geographically a Southeast Asian nation, is home to a large Chinese majority and Vietnam was in China's sphere of influence for much of its history. Indian influence in Singapore is only evident through the Tamil migrants, which influenced, to some extent, the cuisine of Singapore. Throughout Vietnam's history, it has had no direct influence from India - only through contact with the Thai, Khmer and Cham peoples.

paragraph_text: Since 1788, the primary influence behind Australian culture has been Anglo-Celtic Western culture, with some Indigenous influences. The divergence and evolution that has occurred in the ensuing centuries has resulted in a distinctive Australian culture. Since the mid-20th century, American popular culture has strongly influenced Australia, particularly through television and cinema. Other cultural influences come from neighbouring Asian countries, and through large-scale immigration from non-English-speaking nations.

paragraph_text: Luxor : Reverse to Egypt (known as Luxor 3) is an action-puzzle computer game released by MumboJumbo and Wamoc. It is a sequel to "Luxor" and "Luxor 2". As with the other Luxor games, it maintains an Egyptian theme and revolves around Egyptian deities, with a main gameplay goal of removing spheres in various lines of spheres on a set track by exploding groups of three or more spheres.

paragraph_text: The Aftermath of World War II was the beginning of an era defined by the decline of all great powers except for the Soviet Union and the United States, and the simultaneous rise of two superpowers: the Soviet Union (USSR) and the United States of America (USA). Allies during World War II, the USA and the USSR became competitors on the world stage and engaged in the Cold War, so called because it never resulted in overt, declared hot war between the two powers but was instead characterized by espionage, political subversion and proxy wars. Western Europe and Japan were rebuilt through the American Marshall Plan whereas Central and Eastern Europe fell under the Soviet sphere of influence and eventually an ``Iron Curtain ''. Europe was divided into a US - led Western Bloc and a Soviet - led Eastern Bloc. Internationally, alliances with the two blocs gradually shifted, with some nations trying to stay out of the Cold War through the Non-Aligned Movement. The Cold War also saw a nuclear arms race between the two superpowers; part of the reason that the Cold War never became a`` hot'' war was that the Soviet Union and the United States had nuclear deterrents against each other, leading to a mutually assured destruction standoff.

paragraph_text: Scholars and historians are divided as to what event signals the end of the Hellenistic era. The Hellenistic period may be seen to end either with the final conquest of the Greek heartlands by Rome in 146 BC following the Achean War, with the final defeat of the Ptolemaic Kingdom at the Battle of Actium in 31 BC, or even the move by Roman emperor Constantine the Great of the capital of the Roman Empire to Constantinople in 330 AD. "Hellenistic" is distinguished from "Hellenic" in that the first encompasses the entire sphere of direct ancient Greek influence, while the latter refers to Greece itself.

paragraph_text: The Aftermath of World War II was the beginning of a new era, defined by the decline of all European colonial empires and simultaneous rise of two superpowers: the Soviet Union (USSR) and the United States (USA). Allies during World War II, the US and the USSR became competitors on the world stage and engaged in the Cold War, so called because it never resulted in overt, declared hot war between the two powers but was instead characterized by espionage, political subversion and proxy wars. Western Europe and Japan were rebuilt through the American Marshall Plan whereas Central and Eastern Europe fell under the Soviet sphere of influence and eventually behind an "Iron Curtain". Europe was divided into a US-led Western Bloc and a Soviet-led Eastern Bloc. Internationally, alliances with the two blocs gradually shifted, with some nations trying to stay out of the Cold War through the Non-Aligned Movement. The War also saw a nuclear arms race between the two superpowers; part of the reason that the Cold War never became a "hot" war was that the Soviet Union and the United States had nuclear deterrents against each other, leading to a mutually assured destruction standoff.

paragraph_text: Newton's cradle is a device that demonstrates conservation of momentum and energy using a series of swinging spheres. When one sphere at the end is lifted and released, it strikes the stationary spheres, transmitting a force through the stationary spheres that pushes the last sphere upward. The last sphere swings back and strikes the still nearly stationary spheres, repeating the effect in the opposite direction. The device is named after 17th-century English scientist Sir Isaac Newton. It is also known as Newton's Balls or Executive Ball Clicker.

Question: When did the producer of most of the world's titanium divide into separate spheres of influence?
Answer: in the late 19th and early 20th Century