Applications Of Randomness
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Applications Of Randomness
Randomness has multiple uses in science, art, statistics, cryptography, gaming, gambling, and other fields. For example, random assignment in randomized controlled trials helps scientists to test hypotheses, and random numbers or pseudorandom numbers help video games such as video poker. These uses have different levels of requirements, which leads to the use of different methods. Mathematically, there are distinctions between randomization, pseudorandomization, and quasirandomization, as well as between random number generators and pseudorandom number generators. For example, applications in cryptography usually have strict requirements, whereas other uses (such as generating a "quote of the day") can use a looser standard of pseudorandomness. Early uses Games Unpredictable (by the humans involved) numbers (usually taken to be random numbers) were first investigated in the context of gambling developing, sometimes, pathological forms like apophenia. Multiple random ...
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Randomness
In common usage, randomness is the apparent or actual lack of definite pattern or predictability in information. A random sequence of events, symbols or steps often has no order and does not follow an intelligible pattern or combination. Individual random events are, by definition, unpredictable, but if there is a known probability distribution, the frequency of different outcomes over repeated events (or "trials") is predictable.Strictly speaking, the frequency of an outcome will converge almost surely to a predictable value as the number of trials becomes arbitrarily large. Non-convergence or convergence to a different value is possible, but has probability zero. Consistent non-convergence is thus evidence of the lack of a fixed probability distribution, as in many evolutionary processes. For example, when throwing two dice, the outcome of any particular roll is unpredictable, but a sum of 7 will tend to occur twice as often as 4. In this view, randomness is not haphaza ...
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Dice
A die (: dice, sometimes also used as ) is a small, throwable object with marked sides that can rest in multiple positions. Dice are used for generating random values, commonly as part of tabletop games, including dice games, board games, role-playing games, and games of chance. A traditional die is a cube with each of its six faces marked with a different number of dots ( pips) from one to six. When thrown or rolled, the die comes to rest showing a random integer from one to six on its upper surface, with each value being equally likely. Dice may also have other polyhedral or irregular shapes, may have faces marked with numerals or symbols instead of pips and may have their numbers carved out from the material of the dice instead of marked on it. Loaded dice are specifically designed or modified to favor some results over others, for cheating or entertainment purposes. History Dice have been used since before recorded history, and their origin is uncertain. It is hypoth ...
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Elections
An election is a formal group decision-making process whereby a population chooses an individual or multiple individuals to hold public office. Elections have been the usual mechanism by which modern representative democracy has operated since the 17th century. Elections may fill offices in the legislature, sometimes in the executive and judiciary, and for regional and local government. This process is also used in many other private and business organizations, from clubs to voluntary association and corporations. The global use of elections as a tool for selecting representatives in modern representative democracies is in contrast with the practice in the democratic archetype, ancient Athens, where the elections were considered an oligarchic institution and most political offices were filled using sortition, also known as allotment, by which officeholders were chosen by lot. Electoral reform describes the process of introducing fair electoral systems where they are ...
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Liberal Democracy
Liberal democracy, also called Western-style democracy, or substantive democracy, is a form of government that combines the organization of a democracy with ideas of liberalism, liberal political philosophy. Common elements within a liberal democracy are: elections between or among Pluralism (political philosophy), multiple distinct political parties; a separation of powers into different branches of government; the rule of law in everyday life as part of an open society; a market economy with private property; universal suffrage; and the equal protection of human rights, civil rights, civil liberties, and political freedoms for all citizens. Substantive democracy refers to substantive rights and substantive laws, which can include substantive equality, the equality of outcome for subgroups in society."What is substantive equality?". Equal Opportunity Commission, Government of Western Australia. November 2014. Retrieved 28 October 2018 Liberal democracy emphasizes the separation ...
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Sortition
In governance, sortition is the selection of public officer, officials or jurors at random, i.e. by Lottery (probability), lottery, in order to obtain a representative sample. In ancient Athenian democracy, sortition was the traditional and primary method for appointing political officials, and its use was regarded as a principal characteristic of democracy. Sortition is often classified as a method for both direct democracy and deliberative democracy. Today sortition is commonly used to select prospective jurors in common law (legal system), common-law systems. What has changed in recent years is the increased number of citizens' assembly, citizen groups with political advisory power, along with calls for making sortition more consequential than elections, as it was in Athenian democracy, Athens, Republic of Venice, Venice, and Republic of Florence, Florence. History Ancient Athens Athenian democracy developed in the 6th century BC out of what was then called isonomia (equal ...
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Democracy
Democracy (from , ''dēmos'' 'people' and ''kratos'' 'rule') is a form of government in which political power is vested in the people or the population of a state. Under a minimalist definition of democracy, rulers are elected through competitive Election, elections while more expansive or maximalist definitions link democracy to guarantees of civil liberties and human rights in addition to competitive elections. In a direct democracy, the people have the direct authority to Deliberation, deliberate and decide legislation. In a representative democracy, the people choose governing officials through elections to do so. The definition of "the people" and the ways authority is shared among them or delegated by them have changed over time and at varying rates in different countries. Features of democracy oftentimes include freedom of assembly, freedom of association, association, personal property, freedom of religion and freedom of speech, speech, citizenship, consent of the governe ...
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Herodotus
Herodotus (; BC) was a Greek historian and geographer from the Greek city of Halicarnassus (now Bodrum, Turkey), under Persian control in the 5th century BC, and a later citizen of Thurii in modern Calabria, Italy. He wrote the '' Histories'', a detailed account of the Greco-Persian Wars, among other subjects such as the rise of the Achaemenid dynasty of Cyrus. He has been described as " The Father of History", a title conferred on him by the ancient Roman orator Cicero, and the " Father of Lies" by others. The ''Histories'' primarily cover the lives of prominent kings and famous battles such as Marathon, Thermopylae, Artemisium, Salamis, Plataea, and Mycale. His work deviates from the main topics to provide a cultural, ethnographical, geographical, and historiographical background that forms an essential part of the narrative and provides readers with a wellspring of additional information. Herodotus was criticized in his times for his inclusion of "legends an ...
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Isonomia
''Isonomia'' (ἰσονομία "equality of political rights,"Henry George Liddell, Robert Scott, A Greek-English LexiconThe Athenian Democracy in the Age of Demosthenes", Mogens Herman Hansen, , p. 81-84 from the Greek ἴσος ''isos'', "equal," and νόμος ''nomos'', "usage, custom, law,") was a word used by ancient Greek writers such as HerodotusHerodotus 3.80 and Thucydides to refer to some kind of popular government. It was subsequently eclipsed until brought back into English as isonomy ( "equality of law"). Economist Friedrich Hayek attempted to popularize the term in his book '' The Constitution of Liberty'' and argued that a better understanding of isonomy, as used by the Greeks, defines the term to mean "the equal application of the laws to all." Ancient usage Mogens Herman Hansen has argued that, although often translated as "equality of law," ''isonomia'' was in fact something else. Along with ''isonomia'', the Athenians used several terms for equality al ...
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Athenian Democracy
Athenian democracy developed around the 6th century BC in the Ancient Greece, Greek city-state (known as a polis) of Classical Athens, Athens, comprising the city of Athens and the surrounding territory of Attica, and focusing on supporting liberty, equality, and security. Although Athens is the most familiar of the democratic city-states in ancient Greece, it was not the only one, nor was it the first; multiple other city-states adopted similar democratic constitutions before Athens. By the late 4th century BC, as many as half of the over one thousand existing Greek cities might have been democracies. Athens practiced a political system of legislation and executive bills. Participation was open to adult, free male citizens (i.e., not a metic, woman or slave). Adult male citizens probably constituted no more than 30 percent of the total adult population. Solon (in 594 BC), Cleisthenes (in 508–07 BC), and Ephialtes (in 462 BC) contributed to the development of Athenian democrac ...
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Slot Machine
A slot machine, fruit machine (British English), poker machine or pokie (Australian English and New Zealand English) is a gambling machine that creates a game of chance for its customers. A slot machine's standard layout features a screen displaying three or more reels that "spin" when the game is activated. Some modern slot machines still include a lever as a skeuomorphic design trait to trigger play. However, the mechanical operations of early machines have been superseded by random number generators, and most are now operated using buttons and touchscreens. Slot machines include one or more currency detectors that validate the form of payment, whether coin, banknote, voucher, or token. The machine pays out according to the pattern of symbols displayed when the reels stop "spinning". Slot machines are the most popular gambling method in casinos and contribute about 70% of the average U.S. casino's income. Digital technology has resulted in variations in the original slo ...
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Random Number Generator
Random number generation is a process by which, often by means of a random number generator (RNG), a sequence of numbers or symbols is generated that cannot be reasonably predicted better than by random chance. This means that the particular outcome sequence will contain some patterns detectable in hindsight but impossible to foresee. True random number generators can be '' hardware random-number generators'' (HRNGs), wherein each generation is a function of the current value of a physical environment's attribute that is constantly changing in a manner that is practically impossible to model. This would be in contrast to so-called "random number generations" done by ''pseudorandom number generators'' (PRNGs), which generate numbers that only look random but are in fact predetermined—these generations can be reproduced simply by knowing the state of the PRNG. Various applications of randomness have led to the development of different methods for generating random data. Some of ...
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Casino
A casino is a facility for gambling. Casinos are often built near or combined with hotels, resorts, restaurants, retail shops, cruise ships, and other tourist attractions. Some casinos also host live entertainment, such as stand-up comedy, concerts, and sports. Etymology and usage ''Casino'' is of Italian language, Italian origin; the root means a house. The term ''casino'' may mean a small country villa, Summerhouse (building), summerhouse, or social club. During the 19th century, ''casino'' came to include other public buildings where pleasurable activities took place; such edifices were usually built on the grounds of a larger Italian villa or palazzo, and were used to host civic town functions, including dancing, gambling, music listening, and sports. Examples in Italy include Villa Farnese and Villa Giulia, and in the US the Newport Casino in Newport, Rhode Island. In modern-day Italian, a is a brothel (also called , literally "closed house"), a mess (confusing situation), ...
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