1.
0s
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This article covers the first nine years of the Anno Domini era, which began on January 1st, AD1 and ended on December 31st, AD9. Tiberius, under order of Augustus, quells revolts in Germania, Gaius Caesar and Lucius Aemilius Paullus are appointed consuls. Gaius Caesar marries Livilla, daughter of Antonia Minor and Nero Claudius Drusus, Quirinius becomes a chief advisor to Gaius in Armenia. Gnaeus Domitius Ahenobarbus, whose father Lucius Domitius Ahenobarbus had served as consul in 16 BC, areius Paianeius becomes Archon of Athens. Confucius is given his first royal title of Lord Baochengxun Ni, sapadbizes, Yuezhi prince and King of Kush, dies. The Kingdom of Aksum, centered in modern-day Ethiopia and Eritrea, is founded and her son, Natakamani, becomes King of Kush. Moxos ceases to be a significant religious area in South America, the Teotihuacan culture in Mesoamerica begins. The Olmec 2 phase of the Olmec civilization begins, San Lorenzo, the poem Metamorphoses is written by Ovid. Birth of Jesus, as assigned by Dionysius Exiguus in his anno Domini era according to at least one scholar, however, most scholars think Dionysius placed the birth of Jesus in the previous year,1 BC. Furthermore, most modern scholars do not consider Dionysius calculations authoritative, following the death of Lucius Caesar, Livia Drusilla persuades Augustus to allow her son Tiberius back into Rome as a private citizen, after six years in enforced retirement on Rhodes. Gaius Caesar meets with Phraates V, the king of Parthia on the Euphrates, rather than invade, Gaius Caesar concludes peace with the Parthians—Parthia recognizes Roman claims to Armenia. Publius Alfenus Varus and Publius Vinicius become Roman Consuls, juba II of Mauretania joins Gaius Caesar in Armenia as a military advisor. It is during this period that he meets Glaphyra, a Cappadocian princess and the wife of Alexandros of Judea, a brother of Herod Archelaus, ethnarch of Judea. Wang Mang begins a program of personal aggrandizement, restoring marquess titles to past imperial princes, restrictions are placed on the Emperors mother, Consort Wei and members of the Wei Clan. The first census is concluded in China after having begun the year before, the census is one of the most accurate surveys in Chinese history. The Chinese census shows nearly one million living in Vietnam. The rule of emperor Augustus is renewed for a ten-year period, Augustus adopts his grandson, Gaius Caesar, with the expectation that he will succeed him. Gaius is made proconsul and is sent on a mission to the East

2.
0s BC
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This article concerns the period 9 BC –1 BC, the last nine years before the Anno Domini era, not the last ten years. Pannonia is incorporated in the Roman Empire as part of Illyria, the Ara Pacis, voted by the Senate four years earlier, is dedicated. Nero Claudius Drusus begins a campaign against the Marcomanni, but dies soon after a fall from his horse, tiberius Claudius Nero continues the conquest of Germania. King Maroboduus becomes ruler of the Marcomanni and fights against the Roman Empire expansion in Bohemia, arminius, son of a Cheruscan chieftain, is taken hostage to Rome where he receives a military education. After 20 years, Augustus initiated his second census of the Roman Empire, tiberius Claudius Nero and Gnaeus Calpurnius Piso are Roman Consuls. Augustus second census of the Roman Empire reported a total of 4,233,000 citizens, Emperor Augustus sent ferrets to the Balearic Islands to control the rabbit plagues. Tiberius Claudius Nero is sent to Armenia, then retires to Rhodes, – On the death of Herod the Great, there is unrest in his client kingdom of Judea. His son, Herod Archelaus, becomes the new ruler, Herod Antipas becomes tetrarch of Galilee and Perea. The Governor of Syria, Publius Quintilius Varus, assembles three of his four legions, including Legio X Fretensis, and marche down to Jerusalem from Antioch to restore order. King Maroboduus of the Marcomanni organized in the later known as Bohemia a confederation of Germanic tribes, with the Hermunduri, Lombards, Semnoni. Lucius Domitius Ahenobarbus commands the Roman army in Germania and crossed the Elbe and he builds the pontes longi over the marshes between the Rhine and the Ems. Julia the Elder, daughter of Augustus, is exiled on charges of treason and adultery to Pandateria, the Aqua Alsietina Roman aqueduct is constructed. Phraates V becomes king of the Parthian Empire, after he, Emperor Augustus sent his stepson Gaius Caesar as army commander to the East and made a peace treaty with Phraates V on an island in the river Euphrates. Emperor, Ai of Han dies and is succeeded by his cousin Ping of Han, Wang Mang is appointed regent by the Grand Empress Dowager Wang. Former regent Dong Xian commits suicide, however, at least one scholar thinks Dionysius placed the incarnation of Jesus in the next year, AD1. Most modern scholars do not consider Dionysius calculations authoritative, themselves placing the event several years earlier, tigranes IV, King of Armenia, r. 12–1 BC Erato, Queen of Armenia, 8–5 BC,2 BC – AD2, AD 6–11 Artavasdes III, King of Armenia, r. 5–2 BC Ariobarzan of Atropatene, Client King of Armenia, r.1 BC – AD2 Chend Di, Emperor of Han Dynasty China, 32–7 BC Ai Di, Emperor of Han Dynasty China, r

3.
Equator
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The Equator usually refers to an imaginary line on the Earths surface equidistant from the North Pole and South Pole, dividing the Earth into the Northern Hemisphere and Southern Hemisphere. The Equator is about 40,075 kilometres long, some 78. 7% lies across water and 21. 3% over land, other planets and astronomical bodies have equators similarly defined. Generally, an equator is the intersection of the surface of a sphere with the plane that is perpendicular to the spheres axis of rotation. The latitude of the Earths equator is by definition 0° of arc, the equator is the only line of latitude which is also a great circle — that is, one whose plane passes through the center of the globe. The plane of Earths equator when projected outwards to the celestial sphere defines the celestial equator, in the cycle of Earths seasons, the plane of the equator passes through the Sun twice per year, at the March and September equinoxes. To an observer on the Earth, the Sun appears to travel North or South over the equator at these times, light rays from the center of the Sun are perpendicular to the surface of the Earth at the point of solar noon on the Equator. Locations on the Equator experience the quickest sunrises and sunsets because the sun moves nearly perpendicular to the horizon for most of the year. The Earth bulges slightly at the Equator, the diameter of the Earth is 12,750 kilometres. Because the Earth spins to the east, spacecraft must also launch to the east to take advantage of this Earth-boost of speed, seasons result from the yearly revolution of the Earth around the Sun and the tilt of the Earths axis relative to the plane of revolution. During the year the northern and southern hemispheres are inclined toward or away from the sun according to Earths position in its orbit, the hemisphere inclined toward the sun receives more sunlight and is in summer, while the other hemisphere receives less sun and is in winter. At the equinoxes, the Earths axis is not tilted toward the sun, instead it is perpendicular to the sun meaning that the day is about 12 hours long, as is the night, across the whole of the Earth. Near the Equator there is distinction between summer, winter, autumn, or spring. The temperatures are usually high year-round—with the exception of high mountains in South America, the temperature at the Equator can plummet during rainstorms. In many tropical regions people identify two seasons, the wet season and the dry season, but many places close to the Equator are on the oceans or rainy throughout the year, the seasons can vary depending on elevation and proximity to an ocean. The Equator lies mostly on the three largest oceans, the Pacific Ocean, the Atlantic Ocean, and the Indian Ocean. The highest point on the Equator is at the elevation of 4,690 metres, at 0°0′0″N 77°59′31″W and this is slightly above the snow line, and is the only place on the Equator where snow lies on the ground. At the Equator the snow line is around 1,000 metres lower than on Mount Everest, the Equator traverses the land of 11 countries, it also passes through two island nations, though without making a landfall in either. Starting at the Prime Meridian and heading eastwards, the Equator passes through, Despite its name, however, its island of Annobón is 155 km south of the Equator, and the rest of the country lies to the north

4.
Zero S
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The Zero S is an electric motorcycle made by Zero Motorcycles. On 23 April 2009 the company announced it would establish a network in the Canadian market while getting regulatory approval for selling the motorcycle in Canada. It expects to start selling in Canada by early July 2009, the 2009 Zero S had an expected range of 81-kilometre on a full charge, with a top speed of 112 km/h, a speed it can reach in under four seconds from a standing start. The motor is rated at 22 kilowatts, the battery can be recharged using standard 110 V or 220 V plugs. A replacement battery will cost approximately $3,000, the 2014 range of Zero S have brought various improvements and the option for a powertank accessory which increases the range by 2. 8kWh. The 2015 model added ABS brakes and 2016 brought an increase to the battery size

5.
Vector bundle
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Such vector bundles are said to be trivial. A more complicated class of examples are the tangent bundles of smooth manifolds, tangent bundles are not, in general, trivial bundles, for example, the tangent bundle of the sphere is non-trivial by the hairy ball theorem. In general, a manifold is said to be parallelizable if, vector bundles are almost always required to be locally trivial, however, which means they are examples of fiber bundles. Also, the spaces are usually required to be over the real or complex numbers. Complex vector bundles can be viewed as real vector bundles with additional structure, in the following, we focus on real vector bundles in the category of topological spaces. The open neighborhood U together with the homeomorphism φ is called a trivialization of the vector bundle. The local trivialization shows that locally the map π looks like the projection of U × Rk on U, every fiber π−1 is a finite-dimensional real vector space and hence has a dimension kx. The local trivializations show that the function x ↦ kx is locally constant, if kx is equal to a constant k on all of X, then k is called the rank of the vector bundle, and E is said to be a vector bundle of rank k. Often the definition of a vector bundle includes that the rank is well defined, vector bundles of rank 1 are called line bundles, while those of rank 2 are less commonly called plane bundles. The Cartesian product X × Rk, equipped with the projection X × Rk → X, is called the trivial bundle of rank k over X and these are called the transition functions of the vector bundle. The set of transition forms a Čech cocycle in the sense that g U U = I, g U V g V W g W U = I for all U, V, W over which the bundle trivializes. Thus the data defines a bundle, the additional data of the gUV specifies a GL structure group in which the action on the fiber is the standard action of GL. Conversely, given a fiber bundle with a GL cocycle acting in the way on the fiber Rk. This is sometimes taken as the definition of a vector bundle, note that g is determined by f, and f is then said to cover g. The class of all vector bundles together with bundle morphisms forms a category, restricting to vector bundles for which the spaces are manifolds and smooth bundle morphisms we obtain the category of smooth vector bundles. Vector bundle morphisms are a case of the notion of a bundle map between fiber bundles, and are also often called bundle homomorphisms. A bundle homomorphism from E1 to E2 with an inverse which is also a homomorphism is called a bundle isomorphism. An isomorphism of a vector bundle E over X with the bundle is called a trivialization of E