Josip Plemelj
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Josip Plemelj
Josip Plemelj (December 11, 1873 – May 22, 1967) was a 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, Yugoslavia (now Slovenia). His father, Urban, a carpenter and 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 of Vienna in 1894 where he had applied to Faculty of Arts to ...
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Bled
Bled (; german: Veldes,''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 the administrative seat of the Municipality of Bled. It is most notable as a popular tourist destination in the Upper Carniola region and in Slovenia as whole, attracting visitors from abroad too. 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 c ...
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Croft (land)
A croft is 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. Etymology The word ''croft'' is West Germanic in etymology and is now most familiar 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 that has been subject to special legislation applying to the Scottish Highlands since 1886. The legislation was largely a response to the complaints and demands of tenant families who were victims of the Highland Clearances. The modern crofters or tenants appear very little in evidence before the beginning of the 18th century. They were tenants at will underneath the tacksman and wadsetters, but pr ...
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Ludwig Boltzmann
Ludwig Eduard Boltzmann (; 20 February 1844 – 5 September 1906) was an Austrian physicist and philosopher. 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 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 materials. Biography Childhood ...
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Joseph Stefan
Josef Stefan ( sl, Jožef Štefan; 24 March 1835 – 7 January 1893) was an ethnic Carinthian Slovene physicist, mathematician, and poet of the Austrian Empire. Life and work Stefan was born in an outskirt village of St. Peter (Slovene: ; today a district of Klagenfurt) in the Austrian Empire (now in Austria) to father Aleš (Aleksander) Stefan, born in 1805, and mother Marija Startinik, born 1815. His parents, both ethnic Slovenes, married when Josef was eleven. The Stefans were a modest family. His father was a milling assistant and his mother served as a maidservant. Stefan's mother died in 1863 and his father in 1872. Josef was their only child. Stefan attended elementary school in Klagenfurt, where he showed his talent. They recommended to him to continue his schooling, so in 1845, he went to . As a thirteen-year-old boy, he experienced the revolutionary year of 1848, which inspired him to be sympathetic toward Slovene literary production. After having graduated top o ...
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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 (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 ...
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Algebra
Algebra () is one of the broad areas of mathematics. Roughly speaking, algebra is the study of mathematical symbols and the rules for manipulating these symbols in formulas; it is a unifying thread of almost all of mathematics. Elementary algebra deals with the manipulation of variables (commonly represented by Roman letters) as if they were numbers and is therefore essential in all applications of mathematics. Abstract algebra is the name given, mostly in education, to the study of algebraic structures such as groups, rings, and fields (the term is no more in common use outside educational context). Linear algebra, which deals with linear equations and linear mappings, is used for modern presentations of geometry, and has many practical applications (in weather forecasting, for example). There are many areas of mathematics that belong to algebra, some having "algebra" in their name, such as commutative algebra, and some not, such as Galois theory. The word ''alge ...
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Arithmetic
Arithmetic () is an elementary part of mathematics that consists of the study of the properties of the traditional operations on numbers— addition, subtraction, multiplication, division, exponentiation, and extraction of roots. In the 19th century, Italian mathematician Giuseppe Peano formalized arithmetic with his Peano axioms, which are highly important to the field of mathematical logic today. History The prehistory of arithmetic is limited to a small number of artifacts, which may indicate the conception of addition and subtraction, the best-known being the Ishango bone from central Africa, dating from somewhere between 20,000 and 18,000 BC, although its interpretation is disputed. The earliest written records indicate the Egyptians and Babylonians used all the elementary arithmetic operations: addition, subtraction, multiplication, and division, as early as 2000 BC. These artifacts do not always reveal the specific process used for solving problems, ...
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Franz Mertens
Franz Mertens (20 March 1840 – 5 March 1927) (also known as Franciszek Mertens) was a 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 Scholar ...
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