A History Of Pi
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A History Of Pi
''A History of Pi'' (also titled ''A History of '') is a 1970 non-fiction book by Petr Beckmann that presents a layman's introduction to the concept of the mathematical constant pi (). Author Beckmann was a Czechoslovakian who fled the Communist regime to go to the United States. His dislike of authority gives ''A History of Pi'' a style that belies its dry title. For example, his chapter on the era following the classical age of ancient Greece is titled "The Roman Pest"; he calls the Catholic Inquisition the act of "insane religious fanatic"; and he says that people who question public spending on scientific research are "intellectual cripples who drivel about 'too much technology' because technology has wounded them with the ultimate insult: 'They can't understand it any more.'" Beckmann was a prolific scientific author who wrote several electrical engineering textbooks and non-technical works, founded Golem Press, which published most of his books, and published his own monthly ...
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Czechoslovakia
, rue, Чеськословеньско, , yi, טשעכאסלאוואקיי, , common_name = Czechoslovakia , life_span = 1918–19391945–1992 , p1 = Austria-Hungary , image_p1 = , s1 = Czech Republic , flag_s1 = Flag of the Czech Republic.svg , s2 = Slovakia , flag_s2 = Flag of Slovakia.svg , image_flag = Flag of Czechoslovakia.svg , flag = Flag of Czechoslovakia , flag_type = Flag(1920–1992) , flag_border = Flag of Czechoslovakia , image_coat = Middle coat of arms of Czechoslovakia.svg , symbol_type = Middle coat of arms(1918–1938 and 1945–1961) , image_map = Czechoslovakia location map.svg , image_map_caption = Czechoslovakia during the interwar period and the Cold War , national_motto = , anthems = ...
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1970 Non-fiction Books
Year 197 ( CXCVII) was a common year starting on Saturday (link will display the full calendar) of the Julian calendar. At the time, it was known as the Year of the Consulship of Magius and Rufinus (or, less frequently, year 950 ''Ab urbe condita''). The denomination 197 for this year has been used since the early medieval period, when the Anno Domini calendar era became the prevalent method in Europe for naming years. Events By place Roman Empire * February 19 – Battle of Lugdunum: Emperor Septimius Severus defeats the self-proclaimed emperor Clodius Albinus at Lugdunum (modern Lyon). Albinus commits suicide; legionaries sack the town. * Septimius Severus returns to Rome and has about 30 of Albinus's supporters in the Senate executed. After his victory he declares himself the adopted son of the late Marcus Aurelius. * Septimius Severus forms new naval units, manning all the triremes in Italy with heavily armed troops for war in the East. His soldiers embark on an ...
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Prime Number
A prime number (or a prime) is a natural number greater than 1 that is not a product of two smaller natural numbers. A natural number greater than 1 that is not prime is called a composite number. For example, 5 is prime because the only ways of writing it as a product, or , involve 5 itself. However, 4 is composite because it is a product (2 × 2) in which both numbers are smaller than 4. Primes are central in number theory because of the fundamental theorem of arithmetic: every natural number greater than 1 is either a prime itself or can be factorized as a product of primes that is unique up to their order. The property of being prime is called primality. A simple but slow method of checking the primality of a given number n, called trial division, tests whether n is a multiple of any integer between 2 and \sqrt. Faster algorithms include the Miller–Rabin primality test, which is fast but has a small chance of error, and the AKS primality test, which always pr ...
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Approximations Of π
Approximations for the mathematical constant pi () in the history of mathematics reached an accuracy within 0.04% of the true value before the beginning of the Common Era. In Chinese mathematics, this was improved to approximations correct to what corresponds to about seven decimal digits by the 5th century. Further progress was not made until the 15th century (through the efforts of Jamshīd al-Kāshī). Early modern mathematicians reached an accuracy of 35 digits by the beginning of the 17th century (Ludolph van Ceulen), and 126 digits by the 19th century (Jurij Vega), surpassing the accuracy required for any conceivable application outside of pure mathematics. The record of manual approximation of is held by William Shanks, who calculated 527 digits correctly in 1853. Since the middle of the 20th century, the approximation of has been the task of electronic digital computers (for a comprehensive account, see Chronology of computation of ). On June 8, 2022, the current r ...
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Flaming (Internet)
Flaming or roasting is the act of posting insults, often including profanity or other offensive language, on the internet. This term should not be confused with the term trolling, which is the act of someone going online, or in person, and causing discord. Flaming emerged from the anonymity that Internet forums provide cover for users to act more aggressively. Anonymity can lead to disinhibition, which results in the swearing, offensive, and hostile language characteristic of flaming. Lack of social cues, less accountability of face-to-face communications, textual mediation and deindividualization are also likely factors. Deliberate flaming is carried out by individuals known as flamers, which are specifically motivated to incite flaming. These users specialize in flaming and target specific aspects of a controversial conversation While these behaviors may be typical or expected in certain types of forums, they can have dramatic, adverse effects in others. Flame wars can have a las ...
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Inquisition
The Inquisition was a group of institutions within the Catholic Church whose aim was to combat heresy, conducting trials of suspected heretics. Studies of the records have found that the overwhelming majority of sentences consisted of penances, but convictions of unrepentant heresy were handed over to the secular courts, which generally resulted in execution or life imprisonment. The Inquisition had its start in the 12th-century Kingdom of France, with the aim of combating religious deviation (e.g. apostasy or heresy), particularly among the Cathars and the Waldensians. The inquisitorial courts from this time until the mid-15th century are together known as the Medieval Inquisition. Other groups investigated during the Medieval Inquisition, which primarily took place in France and Italy, include the Spiritual Franciscans, the Hussites, and the Beguines. Beginning in the 1250s, inquisitors were generally chosen from members of the Dominican Order, replacing the earlier practice ...
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Ancient Greece
Ancient Greece ( el, Ἑλλάς, Hellás) was a northeastern Mediterranean civilization, existing from the Greek Dark Ages of the 12th–9th centuries BC to the end of classical antiquity ( AD 600), that comprised a loose collection of culturally and linguistically related city-states and other territories. Most of these regions were officially unified only once, for 13 years, under Alexander the Great's empire from 336 to 323 BC (though this excludes a number of Greek city-states free from Alexander's jurisdiction in the western Mediterranean, around the Black Sea, Cyprus, and Cyrenaica). In Western history, the era of classical antiquity was immediately followed by the Early Middle Ages and the Byzantine period. Roughly three centuries after the Late Bronze Age collapse of Mycenaean Greece, Greek urban poleis began to form in the 8th century BC, ushering in the Archaic period and the colonization of the Mediterranean Basin. This was followed by the age of Classical G ...
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Communist
Communism (from Latin la, communis, lit=common, universal, label=none) is a far-left sociopolitical, philosophical, and economic ideology and current within the socialist movement whose goal is the establishment of a communist society, a socioeconomic order centered around common ownership of the means of production, distribution, and exchange which allocates products to everyone in the society.: "One widespread distinction was that socialism socialised production only while communism socialised production and consumption." Communist society also involves the absence of private property, social classes, money, and the state. Communists often seek a voluntary state of self-governance, but disagree on the means to this end. This reflects a distinction between a more libertarian approach of communization, revolutionary spontaneity, and workers' self-management, and a more vanguardist or communist party-driven approach through the development of a constitutional socialist state ...
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Mathematical Constant
A mathematical constant is a key number whose value is fixed by an unambiguous definition, often referred to by a symbol (e.g., an alphabet letter), or by mathematicians' names to facilitate using it across multiple mathematical problems. Constants arise in many areas of mathematics, with constants such as and occurring in such diverse contexts as geometry, number theory, statistics, and calculus. What it means for a constant to arise "naturally", and what makes a constant "interesting", is ultimately a matter of taste, with some mathematical constants being notable more for historical reasons than for their intrinsic mathematical interest. The more popular constants have been studied throughout the ages and computed to many decimal places. All named mathematical constants are definable numbers, and usually are also computable numbers (Chaitin's constant being a significant exception). Basic mathematical constants These are constants which one is likely to encounter ...
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Petr Beckmann
Petr Beckmann (November 13, 1924 – August 3, 1993) was a professor of electrical engineering who became a well-known advocate of libertarianism and nuclear power. Later in his life he disputed Albert Einstein's theory of relativity and other accepted theories in modern physics. Biography In 1939, when Beckmann was 14, his family fled their home in Prague, Czechoslovakia to escape the Nazis. From 1942 to 1945, he served in a Czech squadron of the Royal Air Force. He worked as a radar mechanic on the newly invented radar systems that helped Britain win the Battle of the Atlantic. He received a B.Sc. in 1949, a Ph.D. in 1955, and a D.Sc. in 1962, all from Prague's Czech Academy of Sciences in electrical engineering. He defected to the United States in 1963 and became a Professor (later, Emeritus) of electrical engineering at the University of Colorado. In the United States, he became acquainted with novelist Ayn Rand, a contributing editor to a publication devoted to her id ...
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