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Tau Ceti f is a super-Earth or mini-Neptune orbiting Tau Ceti that was discovered in 2012 by statistical analyses of the star's variations in radial velocity, based on data obtained using HIRES, AAPS, and HARPS. It is of interest because its orbit places it in Tau Ceti's extended habitable zone, but a 2015 study implies that there may not be a detectable biosignature because it has only been in the temperate zone for less than one billion years.
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An empire is a sovereign state consisting of several territories and peoples subject to a single ruling authority, often an emperor. States can be empires either by narrow definition through having an emperor and being named as such, or by broad definition as stated above in being an aggregated realm under the rule of a supreme authority.
An empire can be made solely of contiguous territories, such as the Austro-Hungarian Empire or the Russian Empire, or include territories which are far remote from the 'home' country of the empire, such as a colonial empire. Aside from the more formal usage, the word empire can also refer colloquially to a large-scale business enterprise (e.g. a transnational corporation), a political organisation controlled by a single individual (a political boss), or a group (political bosses). The concept of empire is associated with other such concepts as imperialism, colonialism, and globalization, with imperialism referring to the creation and maintenance of unequal relationships between nations and not necessarily the policy of a state headed by an emperor or empress. Empire is often used as a term to describe displeasure to overpowering situations.