Alfred Tauber
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Alfred Tauber
Alfred Tauber (5 November 1866 – 26 July 1942) was a Hungarian-born Austrian mathematician, known for his contribution to mathematical analysis and to the theory of functions of a complex variable: he is the eponym of an important class of theorems with applications ranging from mathematical and harmonic analysis to number theory. He was murdered in the Theresienstadt concentration camp. Life and academic career Born in Pressburg, Kingdom of Hungary, Austrian Empire (now Bratislava, Slovakia), he began studying mathematics at Vienna University in 1884, obtained his Ph.D. in 1889,. and his habilitation in 1891. Starting from 1892, he worked as chief mathematician at the Phönix insurance company until 1908, when he became an a.o. professor at the University of Vienna, though, already from 1901, he had been honorary professor at TU Vienna and director of its insurance mathematics chair.. In 1933, he was awarded the Grand Decoration of Honour in Silver for Services to the Repub ...
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Alfred I
Alfred the Great (alt. Ælfred 848/849 – 26 October 899) was King of the West Saxons from 871 to 886, and King of the Anglo-Saxons from 886 until his death in 899. He was the youngest son of King Æthelwulf and his first wife Osburh, who both died when Alfred was young. Three of Alfred's brothers, Æthelbald, Æthelberht and Æthelred, reigned in turn before him. Under Alfred's rule, considerable administrative and military reforms were introduced, prompting lasting change in England. After ascending the throne, Alfred spent several years fighting Viking invasions. He won a decisive victory in the Battle of Edington in 878 and made an agreement with the Vikings, dividing England between Anglo-Saxon territory and the Viking-ruled Danelaw, composed of northern England, the north-east Midlands and East Anglia. Alfred also oversaw the conversion of Viking leader Guthrum to Christianity. He defended his kingdom against the Viking attempt at conquest, becoming the dominant ruler ...
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Harmonic Analysis
Harmonic analysis is a branch of mathematics concerned with the representation of Function (mathematics), functions or signals as the Superposition principle, superposition of basic waves, and the study of and generalization of the notions of Fourier series and Fourier transforms (i.e. an extended form of Fourier analysis). In the past two centuries, it has become a vast subject with applications in areas as diverse as number theory, representation theory, signal processing, quantum mechanics, tidal analysis and neuroscience. The term "harmonics" originated as the Ancient Greek word ''harmonikos'', meaning "skilled in music". In physical eigenvalue problems, it began to mean waves whose frequencies are Multiple (mathematics), integer multiples of one another, as are the frequencies of the Harmonic series (music), harmonics of music notes, but the term has been generalized beyond its original meaning. The classical Fourier transform on R''n'' is still an area of ongoing research, ...
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Anschluss
The (, or , ), also known as the (, en, Annexation of Austria), was the annexation of the Federal State of Austria into the German Reich on 13 March 1938. The idea of an (a united Austria and Germany that would form a " Greater Germany") began after the unification of Germany excluded Austria and the German Austrians from the Prussian-dominated German Empire in 1871. Following the end of World War I with the fall of the Austro-Hungarian Empire, in 1918, the newly formed Republic of German-Austria attempted to form a union with Germany, but the Treaty of Saint Germain (10 September 1919) and the Treaty of Versailles (28 June 1919) forbade both the union and the continued use of the name "German-Austria" (); and stripped Austria of some of its territories, such as the Sudetenland. Prior to the , there had been strong support in both Austria and Germany for unification of the two countries. In the immediate aftermath of the dissolution of the Habsburg monarchy—with ...
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Privatdozent
''Privatdozent'' (for men) or ''Privatdozentin'' (for women), abbreviated PD, P.D. or Priv.-Doz., is an academic title conferred at some European universities, especially in German-speaking countries, to someone who holds certain formal qualifications that denote an ability (''facultas docendi'') and permission to teach (''venia legendi'') a designated subject at the highest level. To be granted the title Priv.-Doz. by a university, a recipient has to fulfill the criteria set by the university which usually require excellence in research, teaching, and further education. In its current usage, the title indicates that the holder has completed their habilitation and is therefore granted permission to teach and examine students independently without having a professorship. Conferment and roles A university faculty can confer the title to an academic who has a higher doctoral degree - usually in the form of a habilitation. The title, ''Privatdozent'', as such does not imply a sala ...
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Extraordinary Professor
Academic ranks in Germany are the titles, relative importance and power of professors, researchers, and administrative personnel held in academia. Overview Appointment grades * (Pay grade: ''W3'' or ''W2'') * (''W3'') * (''W2'') * (''W2'', only in ''Baden-Württemberg'') – although paid like a professor appointed at level W2, lecturers in this position do not have a professor title; the term was formerly used in all states for senior lecturer positions with research and teaching responsibilities (''C2'', being phased out since 2002) * (not tenured, only rarely with tenure track) (''W1'') * (not tenured) (''W1'', only in ''Baden-Württemberg'') * or (''A13'', ''A14'', ''A15'') * (''TVöD 13/14/15'', ''TvL 13/14/15'') * (''TVöD'', ''TvL'' ''A13 a. Z.'') * (''TVöD'', only in ''Baden-Württemberg'') * (''TdL'') * (''TdL'') Non-appointment grades * * – conferred, in some German states, to a ''Privatdozent'' who has been in service for several years, without forma ...
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Emeritus Professor
''Emeritus'' (; female: ''emerita'') is an adjective used to designate a retired chair, professor, pastor, bishop, pope, director, president, prime minister, rabbi, emperor, or other person who has been "permitted to retain as an honorary title the rank of the last office held". In some cases, the term is conferred automatically upon all persons who retire at a given rank, but in others, it remains a mark of distinguished service awarded selectively on retirement. It is also used when a person of distinction in a profession retires or hands over the position, enabling their former rank to be retained in their title, e.g., "professor emeritus". The term ''emeritus'' does not necessarily signify that a person has relinquished all the duties of their former position, and they may continue to exercise some of them. In the description of deceased professors emeritus listed at U.S. universities, the title ''emeritus'' is replaced by indicating the years of their appointmentsThe Protoc ...
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Grand Decoration Of Honour In Silver For Services To The Republic Of Austria
The Decoration of Honour for Services to the Republic of Austria (german: Ehrenzeichen für Verdienste um die Republik Österreich) is a state decoration of the Republic of Austria. It is divided into 15 classes and is the highest award in the Austrian national honours system. History The Decoration of Honour for Services to the Republic of Austria was first established by federal law on 4 November 1922. It initially had ten grades; later, it was expanded to sixteen grades. It was replaced in 1934 by the Austrian Order of Merit (''Österreichischer Verdienstorden''). The modern iteration of the Decoration of Honour for Services to the Republic of Austria was established by the National Council in 1952. It is conferred by the Republic of Austria to honour people (from Austria and abroad) who have rendered meritorious services to the country. Recipients are selected by the government. The awards are made by the President in accordance with the respective laws. The State Presiden ...
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Habilitation
Habilitation is the highest university degree, or the procedure by which it is achieved, in many European countries. The candidate fulfills a university's set criteria of excellence in research, teaching and further education, usually including a dissertation. The degree, abbreviated "Dr. habil." (Doctor habilitatus) or "PD" (for "Privatdozent"), is a qualification for professorship in those countries. The conferral is usually accompanied by a lecture to a colloquium as well as a public inaugural lecture. History and etymology The term ''habilitation'' is derived from the Medieval Latin , meaning "to make suitable, to fit", from Classical Latin "fit, proper, skillful". The degree developed in Germany in the seventeenth century (). Initially, habilitation was synonymous with "doctoral qualification". The term became synonymous with "post-doctoral qualification" in Germany in the 19th century "when holding a doctorate seemed no longer sufficient to guarantee a proficient transfer o ...
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Vienna University
The University of Vienna (german: Universität Wien) is a public university, public research university located in Vienna, Austria. It was founded by Rudolf IV, Duke of Austria, Duke Rudolph IV in 1365 and is the oldest university in the Geographical distribution of German speakers, German-speaking world. With its long and rich history, the university has developed into one of the largest universities in Europe, and also one of the most renowned, especially in the Humanities. It is associated with 21 List of Nobel laureates, Nobel prize winners and has been the academic home to many scholars of historical as well as of academic importance. History From the Middle Ages to the Enlightenment The university was founded on March 12, 1365, by Rudolf IV, Duke of Austria, hence the name "Alma Mater Rudolphina". After the Charles University in Prague and Jagiellonian University in Kraków, the University of Vienna is the third oldest university in Central Europe and the oldest universit ...
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Summability
In mathematics, a divergent series is an infinite series that is not convergent, meaning that the infinite sequence of the partial sums of the series does not have a finite limit. If a series converges, the individual terms of the series must approach zero. Thus any series in which the individual terms do not approach zero diverges. However, convergence is a stronger condition: not all series whose terms approach zero converge. A counterexample is the harmonic series :1 + \frac + \frac + \frac + \frac + \cdots =\sum_^\infty\frac. The divergence of the harmonic series was proven by the medieval mathematician Nicole Oresme. In specialized mathematical contexts, values can be objectively assigned to certain series whose sequences of partial sums diverge, in order to make meaning of the divergence of the series. A ''summability method'' or ''summation method'' is a partial function from the set of series to values. For example, Cesàro summation assigns Grandi's divergent seri ...
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Series (mathematics)
In mathematics, a series is, roughly speaking, a description of the operation of adding infinitely many quantities, one after the other, to a given starting quantity. The study of series is a major part of calculus and its generalization, mathematical analysis. Series are used in most areas of mathematics, even for studying finite structures (such as in combinatorics) through generating functions. In addition to their ubiquity in mathematics, infinite series are also widely used in other quantitative disciplines such as physics, computer science, statistics and finance. For a long time, the idea that such a potentially infinite summation could produce a finite result was considered paradoxical. This paradox was resolved using the concept of a limit during the 17th century. Zeno's paradox of Achilles and the tortoise illustrates this counterintuitive property of infinite sums: Achilles runs after a tortoise, but when he reaches the position of the tortoise at the beginning of ...
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