Alfred Aeppli
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Alfred Aeppli
Alfred Aeppli was a Swiss mathematician. The Pólya–Aeppli distribution in probability theory and statistics is named after him and his doctoral advisor George Pólya. Life and work Alfred Aeppli was born in Zürich on 15 July 1894 to Alfred Aeppli and Rosa Aeppli-Gehring. He went to a primary school in Zürich and the canton's Industrial School, where he received his matura in the summer of 1913. Afterwards, Aeppli studied at the Eidgenössische Technische Hochschule (ETH Zürich) at the department for higher teachers of mathematics and physics. In the winter semester of 1914–1915 he was on leave for military service. After receiving his Diplom, he worked at a private school in Germany for a year and returned to the ETH in the spring of 1919 as a research assistant of Arthur Hirsch. Aeppli earned his doctorate in 1924 under the supervision of George Pólya and Hermann Weyl. He came up with the Pólya–Aeppli distribution in his doctoral dissertation. This discovery was pu ...
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Zürich
Zürich () is the list of cities in Switzerland, largest city in Switzerland and the capital of the canton of Zürich. It is located in north-central Switzerland, at the northwestern tip of Lake Zürich. As of January 2020, the municipality has 434,335 inhabitants, the Urban agglomeration, urban area 1.315 million (2009), and the Zürich metropolitan area 1.83 million (2011). Zürich is a hub for railways, roads, and air traffic. Both Zurich Airport and Zürich Hauptbahnhof, Zürich's main railway station are the largest and busiest in the country. Permanently settled for over 2,000 years, Zürich was founded by the Roman Empire, Romans, who called it '. However, early settlements have been found dating back more than 6,400 years (although this only indicates human presence in the area and not the presence of a town that early). During the Middle Ages, Zürich gained the independent and privileged status of imperial immediacy and, in 1519, became a primary centre of the Protestant ...
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Arthur Hirsch
Arthur Hirsch (1866–1948) was a German mathematician. Life and work Hirsch completed his schooling in Königsberg in 1882 and then studied mathematics and physics in the universities of Berlin and Königsberg. Among his teachers at Königsberg were David Hilbert and Adolf Hurwitz. In 1892 he received a doctorate from Königsberg for a thesis about linear differential equations. The following year, he took his ''docent habilitation'' at Polytechnikum of Zurich, where he was, successively, assistant professor from 1893, titular professor from 1897 and ordinary professor from 1903 until his retirement in 1936. The work of Hirsch is primarily on differential equations and hypergeometric functions. He published seven papers about it in ''Mathematische Annalen ''Mathematische Annalen'' (abbreviated as ''Math. Ann.'' or, formerly, ''Math. Annal.'') is a German mathematical research journal founded in 1868 by Alfred Clebsch and Carl Neumann. Subsequent managing editors ...
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1894 Births
Events January–March * January 4 – A military alliance is established between the French Third Republic and the Russian Empire. * January 7 – William Kennedy Dickson receives a patent for motion picture film in the United States. * January 9 – New England Telephone and Telegraph installs the first battery-operated telephone switchboard, in Lexington, Massachusetts Lexington is a suburban town in Middlesex County, Massachusetts, United States. It is 10 miles (16 km) from Downtown Boston. The population was 34,454 as of the 2020 census. The area was originally inhabited by Native Americans, and was firs .... * February 12 ** French anarchist Émile Henry (anarchist), Émile Henry sets off a bomb in a Paris café, killing one person and wounding twenty. ** The barque ''Elisabeth Rickmers'' of Bremerhaven is wrecked at Haurvig, Denmark, but all crew and passengers are saved. * February 15 ** In Korea, peasant unrest erupts in the Donghak Peasant ...
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Probability Theorists
Probability is the branch of mathematics concerning numerical descriptions of how likely an event is to occur, or how likely it is that a proposition is true. The probability of an event is a number between 0 and 1, where, roughly speaking, 0 indicates impossibility of the event and 1 indicates certainty."Kendall's Advanced Theory of Statistics, Volume 1: Distribution Theory", Alan Stuart and Keith Ord, 6th Ed, (2009), .William Feller, ''An Introduction to Probability Theory and Its Applications'', (Vol 1), 3rd Ed, (1968), Wiley, . The higher the probability of an event, the more likely it is that the event will occur. A simple example is the tossing of a fair (unbiased) coin. Since the coin is fair, the two outcomes ("heads" and "tails") are both equally probable; the probability of "heads" equals the probability of "tails"; and since no other outcomes are possible, the probability of either "heads" or "tails" is 1/2 (which could also be written as 0.5 or 50%). These conce ...
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ETH Zurich Alumni
(colloquially) , former_name = eidgenössische polytechnische Schule , image = ETHZ.JPG , image_size = , established = , type = Public , budget = CHF 1.896 billion (2021) , rector = Günther Dissertori , president = Joël Mesot , academic_staff = 6,612 (including doctoral students, excluding 527 professors of all ranks, 34% female, 65% foreign nationals) (full-time equivalents 2021) , administrative_staff = 3,106 (40% female, 19% foreign nationals, full-time equivalents 2021) , students = 24,534 (headcount 2021, 33.3% female, 37% foreign nationals) , undergrad = 10,642 , postgrad = 8,299 , doctoral = 4,460 , other = 1,133 , address = Rämistrasse 101CH-8092 ZürichSwitzerland , city = Zürich , coor = , campus = Urban , language = German, English (Masters and upwards, sometimes Bachelor) , affiliations = CESAER, EUA, GlobalTech, IARU, IDEA League, UNITECH , website ethz.ch, colors = Black and White , logo = ETH Zürich Logo black.svg ETH Züric ...
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John Wiley & Sons
John Wiley & Sons, Inc., commonly known as Wiley (), is an American multinational publishing company founded in 1807 that focuses on academic publishing and instructional materials. The company produces books, journals, and encyclopedias, in print and electronically, as well as online products and services, training materials, and educational materials for undergraduate, graduate, and continuing education students. History The company was established in 1807 when Charles Wiley opened a print shop in Manhattan. The company was the publisher of 19th century American literary figures like James Fenimore Cooper, Washington Irving, Herman Melville, and Edgar Allan Poe, as well as of legal, religious, and other non-fiction titles. The firm took its current name in 1865. Wiley later shifted its focus to scientific, technical, and engineering subject areas, abandoning its literary interests. Wiley's son John (born in Flatbush, New York, October 4, 1808; died in East Orange, New Je ...
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Geometric Distribution
In probability theory and statistics, the geometric distribution is either one of two discrete probability distributions: * The probability distribution of the number ''X'' of Bernoulli trials needed to get one success, supported on the set \; * The probability distribution of the number ''Y'' = ''X'' − 1 of failures before the first success, supported on the set \. Which of these is called the geometric distribution is a matter of convention and convenience. These two different geometric distributions should not be confused with each other. Often, the name ''shifted'' geometric distribution is adopted for the former one (distribution of the number ''X''); however, to avoid ambiguity, it is considered wise to indicate which is intended, by mentioning the support explicitly. The geometric distribution gives the probability that the first occurrence of success requires ''k'' independent trials, each with success probability ''p''. If the probability of succe ...
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Poisson Distribution
In probability theory and statistics, the Poisson distribution is a discrete probability distribution that expresses the probability of a given number of events occurring in a fixed interval of time or space if these events occur with a known constant mean rate and Statistical independence, independently of the time since the last event. It is named after France, French mathematician Siméon Denis Poisson (; ). The Poisson distribution can also be used for the number of events in other specified interval types such as distance, area, or volume. For instance, a call center receives an average of 180 calls per hour, 24 hours a day. The calls are independent; receiving one does not change the probability of when the next one will arrive. The number of calls received during any minute has a Poisson probability distribution with mean 3: the most likely numbers are 2 and 3 but 1 and 4 are also likely and there is a small probability of it being as low as zero and a very smal ...
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Compound Poisson Distribution
In probability theory, a compound Poisson distribution is the probability distribution of the sum of a number of independent identically-distributed random variables, where the number of terms to be added is itself a Poisson-distributed variable. The result can be either a continuous or a discrete distribution. Definition Suppose that :N\sim\operatorname(\lambda), i.e., ''N'' is a random variable whose distribution is a Poisson distribution with expected value λ, and that :X_1, X_2, X_3, \dots are identically distributed random variables that are mutually independent and also independent of ''N''. Then the probability distribution of the sum of N i.i.d. random variables :Y = \sum_^N X_n is a compound Poisson distribution. In the case ''N'' = 0, then this is a sum of 0 terms, so the value of ''Y'' is 0. Hence the conditional distribution of ''Y'' given that ''N'' = 0 is a degenerate distribution. The compound Poisson distribution is obtained by marginalising the j ...
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Annales De L'Institut Henri Poincaré
Annals are a concise form of historical writing which record events chronologically, year by year. The equivalent word in Latin and French is ''annales'', which is used untranslated in English in various contexts. List of works with titles containing the word "Annales" * ''Annales'' (Ennius), an epic poem by Quintus Ennius covering Roman history from the fall of Troy down to the censorship of Cato the Elder * Annals (Tacitus) ''Ab excessu divi Augusti'' "Following the death of the divine Augustus" * Annales Alamannici, ed. W. Lendi, Untersuchungen zur frühalemannischen Annalistik. Die Murbacher Annalen, mit Edition (Freiburg, 1971) * Annales Bertiniani, eds. F. , J. Vielliard, S. Clemencet and L. Levillain, Annales de Saint-Bertin (Paris, 1964) * Annales du Muséum national d'histoire naturelle, Paris, France. Published 1802 to 1813, then became the Mémoires then the Nouvelles Annales * Annales Fuldenses, ed. F. Kurze, ''Monumenta Germaniae Historica'' SRG (Hanover, 1891) * ''Ann ...
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Diplom
A ''Diplom'' (, from grc, δίπλωμα ''diploma'') is an academic degree in the German-speaking countries Germany, Austria, and Switzerland and a similarly named degree in some other European countries including Albania, Bulgaria, Belarus, Bosnia and Herzegovina, Croatia, Estonia, Finland, Poland, Russia, and Ukraine and only for engineers in France, Greece, Hungary, North Macedonia, Romania, Serbia, Slovenia, and Brazil. History The Diplom originates from the French Diplôme (''Diplôme de l'ordre impérial de la légion d'honneur'') describing a certificate devised during the Second French Empire to bestow honours upon outstanding citizens and soldiers of the imperial French army to promote them into the Legion of Honour since 1862. The Magister degree was the original graduate degree at German-speaking universities. In Germany the Diplom dates back to the pre-republican period: In October 1899 the engineering degree ''Diplom'' was announced by a ''supreme decree'' of ...
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