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Josip Plemelj
Josip Plemelj (December 11, 1873 – May 22, 1967) was a Slovenes, Slovene mathematician, whose main contributions were to the theory of analytic functions and the application of integral equations to potential theory. He was the first chancellor of the University of Ljubljana. Life Plemelj was born in the village of Bled near Bled Castle in Austria-Hungary (now Slovenia); he died in Ljubljana, Socialist Federal Republic of Yugoslavia, Yugoslavia (now Slovenia). His father, Urban, a carpenter and croft (land), crofter, died when Josip was only a year old. His mother Marija, née , found bringing up the family alone very hard, but she was able to send her son to school in Ljubljana, where Plemelj studied from 1886 to 1894. Due to a bench thrown into Tivoli Pond by him or his friends, he could not attend the school after he finished the fourth class and had to pass the final exam privately. After leaving and obtaining the necessary examination results he went to the University ...
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Bled
Bled (; ,''Leksikon občin kraljestev in dežel zastopanih v državnem zboru,'' vol. 6: ''Kranjsko''. 1906. Vienna: C. Kr. Dvorna in Državna Tiskarna, p. 146. in older sources also ''Feldes'') is a town on Lake Bled in the Upper Carniolan region of northwestern Slovenia. It is one of Slovenia, Slovenia's most visited Resort town, tourist destinations. The town is the administrative seat of the Municipality of Bled. Name The town was first attested in written sources as ''Ueldes'' in 1004 (and as ''Veldes'' in 1011). The etymology of the name is unknown and it is believed to be of pre-Slavic origin. The German name of the town, ''Veldes'', was either borrowed from Old Slovene ''*Beldъ'' before AD 800 or is derived from the same pre-Slavic source as the Slovene name. Geography Bled is located on the southern foot of the Karawanks mountain range near the border with Austria, about northwest of the national capital of Ljubljana. South of Lake Bled are the densely forested Poklju ...
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Croft (land)
A croft is a traditional Scottish term for a fenced or enclosed area of land, usually small and arable, and usually, but not always, with a crofter's dwelling thereon. A crofter is one who has tenure and use of the land, typically as a tenant farmer, especially in rural areas. In Northern England, ''crofter'' was a term connected with tenant farming and rural employment. For example in the textiles industry; someone who bleached cloth prior to dyeing, laying it out in fields or 'crofts'. Etymology The word ''croft'' is West Germanic in etymology, derived from the Dutch term ''kroft'' or ''krocht'' and the Old English ''croft'' (itself of debated origin), meaning an enclosed field. Today, the term is used most frequently in Scotland, most crofts being in the Highlands and Islands area. Elsewhere the expression is generally archaic. In Scottish Gaelic, it is rendered (, plural ). Legislation in Scotland The Scottish croft is a small agricultural landholding of a type ...
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Ludwig Boltzmann
Ludwig Eduard Boltzmann ( ; ; 20 February 1844 – 5 September 1906) was an Austrian mathematician and Theoretical physics, theoretical physicist. His greatest achievements were the development of statistical mechanics and the statistical explanation of the second law of thermodynamics. In 1877 he provided the current definition of entropy, S = k_ \ln \Omega, where Ω is the number of microstates whose energy equals the system's energy, interpreted as a measure of the statistical disorder of a system. Max Planck named the constant the Boltzmann constant. Statistical mechanics is one of the pillars of modern physics. It describes how macroscopic observations (such as temperature and pressure) are related to microscopic parameters that fluctuate around an average. It connects thermodynamic quantities (such as heat capacity) to microscopic behavior, whereas, in classical thermodynamics, the only available option would be to measure and tabulate such quantities for various mat ...
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Joseph Stefan
Josef Stefan (; 24 March 1835 – 7 January 1893) was a Carinthian Slovene physicist, mathematician, and poet of the Austrian Empire. Life and work Stefan was born in the village of St. Peter (Slovene: ) on the outskirts of Klagenfurt) to Aleš (Aleksander) Stefan (1805-1872) and Marija Startinik (1815-1863). His parents, both ethnic Slovenes, did not marry until Josef was eleven. The Stefans were of modest means; his father was a milling assistant and his mother served as a maidservant. Josef was their only child. Stefan attended elementary school in Klagenfurt, where he showed talent, and was recommended for enrollment at the in 1845. At thirteen, he experienced the revolutionary year of 1848, which inspired him to show sympathy toward the Slovene literary and national movement. After having graduated top of his class in high school, he briefly considered joining the Benedictine Order, but his great interest in physics prevailed. He left for Vienna in 1853 to study mat ...
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Edmund Weiss
Edmund Weiss (26 August 1837 – 21 June 1917) was an Austrian astronomer. He was born in Frývaldov, Austrian Silesia, now Jeseník, Czech Silesia. His father, Josef Weiss (1795–1847), was a pioneer of hydrotherapy. His twin brother, Adolf Gustav Weiss (1837–1894), became a botanist. Biography In 1869 he became a professor at the University of Vienna. He was named the director of the Vienna Observatory in 1878. He also served as president of the Austrian ''österreichischen Gradmessungskommission'', the degree measurement commission. He published a number of comet observations and ephemeris' in the ''Astronomische Nachrichten'' between 1859 and 1909. In 1892 he published "Atlas der Sternenwelt", a pictorial atlas of astronomy in German. Weiss died in Vienna on 21 June 1917. The lunar crater '' Weiss'' is named after him. Asteroid 229 Adelinda, discovered by Johann Palisa in 1882, was named after his wife, Adelinde Fenzel Weiss, with whom he had seven children. Th ...
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Algebra
Algebra is a branch of mathematics that deals with abstract systems, known as algebraic structures, and the manipulation of expressions within those systems. It is a generalization of arithmetic that introduces variables and algebraic operations other than the standard arithmetic operations, such as addition and multiplication. Elementary algebra is the main form of algebra taught in schools. It examines mathematical statements using variables for unspecified values and seeks to determine for which values the statements are true. To do so, it uses different methods of transforming equations to isolate variables. Linear algebra is a closely related field that investigates linear equations and combinations of them called '' systems of linear equations''. It provides methods to find the values that solve all equations in the system at the same time, and to study the set of these solutions. Abstract algebra studies algebraic structures, which consist of a set of mathemati ...
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Arithmetic
Arithmetic is an elementary branch of mathematics that deals with numerical operations like addition, subtraction, multiplication, and division. In a wider sense, it also includes exponentiation, extraction of roots, and taking logarithms. Arithmetic systems can be distinguished based on the type of numbers they operate on. Integer arithmetic is about calculations with positive and negative integers. Rational number arithmetic involves operations on fractions of integers. Real number arithmetic is about calculations with real numbers, which include both rational and irrational numbers. Another distinction is based on the numeral system employed to perform calculations. Decimal arithmetic is the most common. It uses the basic numerals from 0 to 9 and their combinations to express numbers. Binary arithmetic, by contrast, is used by most computers and represents numbers as combinations of the basic numerals 0 and 1. Computer arithmetic deals with the specificities of the ...
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Franz Mertens
Franz Mertens (20 March 1840 – 5 March 1927) (also known as Franciszek Mertens) was a German-Polish mathematician. He was born in Schroda in the Grand Duchy of Posen, Kingdom of Prussia (now Środa Wielkopolska, Poland) and died in Vienna, Austria. The Mertens function ''M''(''x'') is the sum function for the Möbius function, in the theory of arithmetic functions. The Mertens conjecture concerning its growth, conjecturing it bounded by ''x''1/2, which would have implied the Riemann hypothesis, is now known to be false ( Odlyzko and te Riele, 1985). The Meissel–Mertens constant is analogous to the Euler–Mascheroni constant, but the harmonic series sum in its definition is only over the primes rather than over all integers and the logarithm is taken twice, not just once. Mertens's theorems are three 1874 results related to the density of prime numbers. Erwin Schrödinger was taught calculus and algebra by Mertens. His memory is honoured by the Franciszek Mertens ...
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Leopold Bernhard Gegenbauer
Leopold Bernhard Gegenbauer (2 February 1849, Asperhofen – 3 June 1903, Gießhübl) was an Austrian mathematician remembered best as an algebraist. Gegenbauer polynomials are named after him. Leopold Gegenbauer was the son of a doctor. He studied at the University of Vienna from 1869 until 1873. He then went to Berlin where he studied from 1873 to 1875 working under Weierstrass and Kronecker. After graduating from Berlin, Gegenbauer was appointed to the position of extraordinary professor at the University of Czernowitz (modern Chernivtsi, Ukraine) in 1875, at that time in the Austrian Empire. Czernowitz University was founded in 1875 and Gegenbauer was the first professor of mathematics there. He remained in Czernowitz for three years before moving to the University of Innsbruck where he worked with Otto Stolz. Again he held the position of extraordinary professor in Innsbruck. After three years teaching in Innsbruck Gegenbauer was appointed full professor in 1881, the ...
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Mathematical Analysis
Analysis is the branch of mathematics dealing with continuous functions, limit (mathematics), limits, and related theories, such as Derivative, differentiation, Integral, integration, measure (mathematics), measure, infinite sequences, series (mathematics), series, and analytic functions. These theories are usually studied in the context of Real number, real and Complex number, complex numbers and Function (mathematics), functions. Analysis evolved from calculus, which involves the elementary concepts and techniques of analysis. Analysis may be distinguished from geometry; however, it can be applied to any Space (mathematics), space of mathematical objects that has a definition of nearness (a topological space) or specific distances between objects (a metric space). History Ancient Mathematical analysis formally developed in the 17th century during the Scientific Revolution, but many of its ideas can be traced back to earlier mathematicians. Early results in analysis were ...
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Gustav Ritter Von Escherich
Gustav Ritter von Escherich (1 June 1849 – 28 January 1935) was an Austrian mathematician. Biography Born in Mantua, he studied mathematics and physics at the University of Vienna. From 1876 to 1879 he was professor at the University of Graz. In 1882 he went to the Graz University of Technology and in 1884 he went to the University of Vienna, where he also was president of the university in 1903/04. Together with Emil Weyr he founded the journal '' Monatshefte für Mathematik und Physik'' and together with Ludwig Boltzmann and Emil Müller he founded the Austrian Mathematical Society. Escherich died in Vienna. Work on hyperbolic geometry Following Eugenio Beltrami's (1868) discussion of hyperbolic geometry, Escherich in 1874 published a paper named "The geometry on surfaces of constant negative curvature". He used coordinates initially introduced by Christoph Gudermann (1830) for spherical geometry, which were adapted by Escherich using hyperbolic functions. For the case o ...
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Astronomy
Astronomy is a natural science that studies celestial objects and the phenomena that occur in the cosmos. It uses mathematics, physics, and chemistry in order to explain their origin and their overall evolution. Objects of interest include planets, natural satellite, moons, stars, nebulae, galaxy, galaxies, meteoroids, asteroids, and comets. Relevant phenomena include supernova explosions, gamma ray bursts, quasars, blazars, pulsars, and cosmic microwave background radiation. More generally, astronomy studies everything that originates beyond atmosphere of Earth, Earth's atmosphere. Cosmology is a branch of astronomy that studies the universe as a whole. Astronomy is one of the oldest natural sciences. The early civilizations in recorded history made methodical observations of the night sky. These include the Egyptian astronomy, Egyptians, Babylonian astronomy, Babylonians, Greek astronomy, Greeks, Indian astronomy, Indians, Chinese astronomy, Chinese, Maya civilization, M ...
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