Stolz Theorem
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Stolz Theorem
Stolz is a German surname. Notable people with the surname include: * Alban Stolz (1808–1883), German theologian * Alexander Stolz (born 1983), German football goalkeeper * Daniel Stolz von Stolzenberg (Daniel Stolcius) (1600–1660), Bohemian physician and writer on alchemy * Denny Stolz (1933–2023), American football coach * Dominik Stolz (born 1990), German footballer playing for Luxembourgish side F91 Dudelange * Friedrich Stolz (1860–1936), German chemist * Hilde von Stolz (1903–1973), Austrian-German actress * Jordan Stolz (born 2004), American speed skater * Joseph Stolz (1861–1941), American rabbi * Kim Stolz (born 1983), U.S. fashion model and television personality * Mary Stolz (1920–2006), U.S. writer of young adult fiction * Monika Stolz (born 1951), German politician * Otto Stolz (1842–1905), Austrian mathematician ( Stolz–Cesàro theorem) * Otto Stolz (1881–1957), Austrian historian * Robert Stolz (1880–1975), Austrian composer and conductor ...
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Alban Stolz
Alban Isidor Stolz (3 February 1808, Bühl, Grand Duchy of Baden – 16 October 1883) was a German Roman Catholic theologian and popular author. Life Stolz was born at Bühl, Baden. He first studied at the gymnasium at Rastatt (1818–27), and then proceeded to the University of Freiburg. After attending lectures in jurisprudence for a brief period, he devoted himself to the study of theology (1827–30). He fell into scepticism; but after studying philology at the University of Heidelberg from 1830 to 1832 he regained his former Catholic faith. Having determined to embrace the clerical state, he entered the ecclesiastical seminary at Freiburg in the autumn of 1832, and in August, 1833, was ordained to the priesthood. During the following eight years he was engaged in parochial work, being curate first at Rothenfels in the Murgthal, and from June, 1835, at Neusatz, in the district of Bühl. In the autumn of 1841 he was appointed instructor in religion at the gymnasiu ...
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Mary Stolz
Mary Stolz (born Mary Slattery, March 24, 1920 – December 15, 2006) was an American writer of fiction for children and young adults. She received the 1953 Child Study Association of America's Children's Book Award for ''In a Mirror,'' Newbery Honors in 1962 for ''Belling the Tiger'' and 1966 for ''The Noonday Friends'', and her entire body of work was awarded the George G. Stone Recognition of Merit in 1982. Her literary works range from picture books to young-adult novels. Although most of Stolz's works are fiction books, she made a few contributions to magazines such as ''Cosmopolitan, Ladies' Home Journal'', and ''Seventeen''. Biography Early life Mary Slattery was born on March 24, 1920 in Boston, Massachusetts. Raised in Manhattan, she attended the Birch Wathen School and served as assistant editor of her school magazine, ''Birch Leaves''.
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Stolze
Stolze is a surname shared by the following individuals: * Dorothy Stolze (1923–2003), All-American girls professional baseball league player * Fritz Stolze (1910–1973), German water polo player * Gerhard Stolze (1926–1979), German opera singer * Greg Stolze (born 1970), American novelist and role-playing game writer * Heinrich August Wilhelm Stolze (1798–1867), German stenographer * Jim Stolze (born 1973), Dutch author * Lena Stolze (born 1956), German actress * Pierre Stolze (born 1952), French science fiction writer '' Stolz'' is a German noun meaning "pride Pride is defined by Merriam-Webster as "reasonable self-esteem" or "confidence and satisfaction in oneself". A healthy amount of pride is good, however, pride sometimes is used interchangeably with "conceit" or "arrogance" (among other words) wh ...". See also * Stolz * Stoltz {{surname German-language surnames ...
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Teresa Stolz
Teresa Stolz (born 2 June 1834, Elbekosteletz (Czech: Kostelec nad Labem), Bohemia – died 23 August 1902, Milan) was a Bohemian soprano, long resident in Italy, who was associated with significant premieres of the works of Giuseppe Verdi, and may have been his mistress. She has been described as "the Verdian dramatic soprano par excellence, powerful, passionate in utterance, but dignified in manner and secure in tone and control".Porter (1998), in Grove, p. 549 Biography Teresa Stolz was born Tereza Stolzová (Tereza is sometimes seen in diminutive versions such as ''Teresina'', ''Teresie'' or ''Terezie'') in Kostelec nad Labem in the Austrian Empire in 1834. This is now in the Czech Republic. She studied under Josef Neruda then at the Prague Conservatoire under Giovanni Battista Gardigiani. She was expelled from the Conservatoire in October 1851 but continued her study with Vojtěch Čaboun. She moved to Trieste to be with her brother, and where she studied with Luigi ...
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Sylvia Stolz
Sylvia Stolz (born 16 August 1963) is a German neo nazi, convicted Holocaust denier and former lawyer. Denial of the Holocaust is a criminal offense in Germany. Ernst Zündel and Stolz trials Stolz was a member of the defense team of Holocaust denier Ernst Zündel, who was tried in March 2006 for distributing antisemitic literature, including Holocaust denial material, via a website."Holocaust denier in Germany sentenced to five years in prison"
''The New York Times'' (''International Herald Tribune''), 15 February 2007
Stolz disrupted Zündel's initial trial and was barred from the courtroom because of her behavior. She had said the judges deserved the

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Robert Stolz
Robert Elisabeth Stolz (25 August 188027 June 1975) was an Austrian songwriter A songwriter is a musician who professionally composes musical compositions or writes lyrics for songs, or both. The writer of the music for a song can be called a composer, although this term tends to be used mainly in the classical music gen ... and Conducting, conductor as well as a composer of operettas and Film score, film music.Stanley Sadie Ed. (2002) ''The New Grove Dictionary of Opera'', Oxford University Press Biography Stolz was born of musical parents in Graz. His father was conductor and composer Jakob Stolz, his mother was concert pianist Ida Bondy, and he was the great-nephew of the soprano Teresa Stolz. At the age of seven, he toured Europe as a pianist, playing Mozart.''The Oxford Dictionary of Music'' 2nd ed. (1995), Oxford University Press He studied at the University of Music and Performing Arts, Vienna, Vienna Conservatory with Robert Fuchs and Engelbert Humperdinck (com ...
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Otto Stolz (historian)
Otto Stolz (3 July 1842 – 23 November 1905) was an Austrian mathematician noted for his work on mathematical analysis and infinitesimals. Born in Hall in Tirol, he studied at the University of Innsbruck from 1860 and the University of Vienna from 1863, receiving his habilitation there in 1867. Two years later he studied in Berlin under Karl Weierstrass, Ernst Kummer and Leopold Kronecker, and in 1871 heard lectures in Göttingen by Alfred Clebsch and Felix Klein (with whom he would later correspond), before returning to Innsbruck permanently as a professor of mathematics. His work began with geometry (on which he wrote his thesis) but after the influence of Weierstrass it shifted to real analysis, and many small useful theorems are credited to him. For example, he proved that a continuous function ''f'' on a closed interval 'a'', ''b''with midpoint convexity, i.e., f\left(\frac2\right) \leq \frac, has left and right derivatives at each point in (''a'', ''b''). He died in ...
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Stolz–Cesàro Theorem
In mathematics, the Stolz–Cesàro theorem is a criterion for proving the convergence of a sequence. The theorem is named after mathematicians Otto Stolz and Ernesto Cesàro, who stated and proved it for the first time. The Stolz–Cesàro theorem can be viewed as a generalization of the Cesàro mean, but also as a l'Hôpital's rule for sequences. Statement of the theorem for the case Let (a_n)_ and (b_n)_ be two sequences of real numbers. Assume that (b_n)_ is a strictly monotone and divergent sequence (i.e. strictly increasing and approaching + \infty , or strictly decreasing and approaching - \infty ) and the following limit exists: : \lim_ \frac=l.\ Then, the limit : \lim_ \frac=l.\ Statement of the theorem for the case Let (a_n)_ and (b_n)_ be two sequences of real numbers. Assume now that (a_n)\to 0 and (b_n)\to 0 while (b_n)_ is strictly decreasing. If : \lim_ \frac=l,\ then : \lim_ \frac=l.\ Proofs Proof of the theorem for the case Case 1: s ...
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Otto Stolz
Otto Stolz (3 July 1842 – 23 November 1905) was an Austrian mathematician noted for his work on mathematical analysis and infinitesimals. Born in Hall in Tirol, he studied in Innsbruck from 1860 and in Vienna from 1863, receiving his habilitation there in 1867. Two years later he studied in Berlin under Karl Weierstrass, Ernst Kummer and Leopold Kronecker, and in 1871 heard lectures in Göttingen by Alfred Clebsch and Felix Klein (with whom he would later correspond), before returning to Innsbruck permanently as a professor of mathematics. His work began with geometry (on which he wrote his thesis) but after the influence of Weierstrass it shifted to real analysis, and many small useful theorems are credited to him. For example, he proved that a continuous function ''f'' on a closed interval 'a'', ''b''with midpoint convexity, i.e., f\left(\frac2\right) \leq \frac, has left and right derivatives at each point in (''a'', ''b''). He died in 1905 shortly after finishing work on '' ...
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Monika Stolz
Monika Stolz (born March 24, 1951) is a German politician for the Christian Democratic Union (CDU) in Baden-Württemberg and was Minister of Work, Social Order, Women and the Elderly from 2006 to 2011. Biography After obtaining her ''Abitur'', she studied economic science at the University of Freiburg, from where she graduated in 1974. During the next three years, she worked as a research assistant at the Konrad Adenauer Foundation. In 1977, she took higher education in medicine, at the universities of Gießen, Würzburg and Bonn, where she obtained her degree in 1983. She took her doctorate in 1985, and became a doctor at the end of the same year. She is married, mother of four children, and a practising Roman Catholic and member of the Central Committee of German Catholics. Political life She was elected to the municipal council of Ulm in 1989. Two years later she became the head of the elected group of the CDU, which she occupied until 1999. Two years later, she entered ...
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Kim Stolz
Kimberly Lynn Stolz (born June 8, 1983) is an American fashion model, television personality, author, and financial executive. Stolz was a correspondent for MTV News, and served as video jockey and host for ''The Freshmen'', an emerging artist show on mtvU. Stolz first came to fame as a contestant on Cycle 5 of ''America's Next Top Model'', where she finished fifth place. , she is an executive with BofA Securities. On June 24, 2014, Stolz published her first book, ''Unfriending My Ex: And Other Things I'll Never Do''. Early life and ''America's Next Top Model'' appearance Stolz grew up on the Upper East Side of New York City and attended The Brearley School in Manhattan. Her father worked as a stockbroker at Goldman Sachs and her mother was a former supermodel who modeled for Givenchy and Ralph Lauren. In 2005, she earned a bachelor's degree in government and intergovernmental politics from Wesleyan University; she wrote her undergraduate thesis about U.S. foreign policy. After ...
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Alexander Stolz
Alexander Stolz (; born 13 October 1983) is a German former professional footballer who played as a goalkeeper. Playing career Stolz was born in Pforzheim. He joined VfB Stuttgart from the Regionalliga side FC Nöttingen during summer 2005, initially playing for the club's reserve team. During the 2006–07 season, the club loaned him out to TSG Hoffenheim. He eventually made his first-team debut for Stuttgart in July 2008, playing in both of their UEFA Intertoto Cup matches against FC Saturn. On 5 March 2009, Stolz extended his contract at Stuttgart until summer 2012. On 24 January 2012, Stolz moved to Karlsruher SC Karlsruher SC is a German association football club, based in Karlsruhe, Baden-Württemberg that currently plays in the 2. Bundesliga, the second tier of German football. Domestically, the club was crowned German champion in 1909, and won the DF ..., where he played for six months. Coaching career On 5 June 2020, Hoffenheim confirmed that Stolz would play ...
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