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The absolute value of a number may be thought of as its distance from zero. Generalisations of the absolute value for real numbers occur in a wide variety of mathematical settings. For example, an absolute value is also defined for the complex numbers, the quaternions, ordered rings, fields and vector spaces.
The prime example of "courtly absolutism" is the rule of the French King Louis XIV. Later, pure "absolutism" developed into so-called "enlightened absolutism", in which general well-being became the primary goal of the otherwise absolute ruling monarch: The King saw himself as the first servant of his state (self-description by Frederick II of ...
Liechtenstein and Monaco are constitutional monarchies in which the Prince retains many powers of an absolute monarch. For example, the 2003 Constitution referendum gives the Prince of Liechtenstein the power to veto any law that the Landtag (parliament) proposes and vice versa. The Prince can hire or dismiss any elective member or government ...
Anthropology, sociology, and ethology as well as various other disciplines such as political science attempt to explain the rise of absolute monarchy ranging from extrapolation generally, to certain Marxist explanations in terms of the class struggle as the underlying dynamic of human historical development generally and absolute monarchy in ...
The standard absolute value on the integers. The standard absolute value on the complex numbers.; The p-adic absolute value on the rational numbers.; If R is the field of rational functions over a field F and () is a fixed irreducible polynomial over F, then the following defines an absolute value on R: for () in R define | | to be , where () = () and ((), ()) = = ((), ()).
[Note: A version of this article was previously published on TKer.co.] Stocks made new record highs, with the S&P 500 reaching a closing high of 4,958.61 and an intraday high of 4,975.29 on Friday.
Monarchs may be autocrats (as in all absolute monarchies) [2] or may be ceremonial figureheads, exercising only limited or no reserve powers at all, with actual authority vested in a legislature and/or executive cabinet (as in many constitutional monarchies). [3] In many cases, a monarch will also be linked with a state religion. [4]
Enlightened absolutism is the theme of an essay by Frederick the Great, who ruled Prussia from 1740 to 1786, defending this system of government. [5] When the prominent French Enlightenment philosopher Voltaire fell out of favor in France, he eagerly accepted Frederick's invitation to live at his palace. He believed that an enlightened monarchy ...