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Faulhaber
Faulhaber is a German surname. Notable people with the surname include: *Gerrit Faulhaber (1912–1951), Indonesian footballer * Johann Faulhaber (1580–1635), German mathematician * Markus Faulhaber (1914–1945), Sturmbannführer in the Waffen SS * Michael von Faulhaber (1869–1952), German Roman Catholic Cardinal See also *Faulhaber's formula In mathematics, Faulhaber's formula, named after the early 17th century mathematician Johann Faulhaber, expresses the sum of the ''p''-th powers of the first ''n'' positive integers :\sum_^n k^p = 1^p + 2^p + 3^p + \cdots + n^p as a (''p''&nb ... {{surname, Faulhaber German-language surnames ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Michael Von Faulhaber
Michael Cardinal ''Ritter'' von Faulhaber (5 March 1869 – 12 June 1952) was a German Catholic prelate who served as Archbishop of Munich for 35 years, from 1917 to his death in 1952. Created Cardinal in 1921, von Faulhaber criticized the Weimar Republic as rooted in treason in a speech at the 62nd German Catholics' Day of 1922. Cardinal von Faulhaber was a leading member and co-founder of the Amici Israel, a priestly association founded in Rome in 1926 with the goal of advocating Jewish-Christian reconciliation. After the Nazi Party seized control of German government in 1933, Cardinal von Faulhaber recognized the new Nazi government as legitimate, required Catholic clergy to be loyal to the government and maintained diplomatic bridges between the regime and the Church, while simultaneously condemning certain Nazi policies, including persecution of members of the clergy, and actively supporting Catholic regime critics such as Fritz Gerlich and other persecuted persons. In 193 ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Faulhaber's Formula
In mathematics, Faulhaber's formula, named after the early 17th century mathematician Johann Faulhaber, expresses the sum of the ''p''-th powers of the first ''n'' positive integers :\sum_^n k^p = 1^p + 2^p + 3^p + \cdots + n^p as a (''p'' + 1)th-degree polynomial function of ''n'', the coefficients involving Bernoulli numbers ''Bj'', in the form submitted by Jacob Bernoulli and published in 1713: : \sum_^n k^ = \frac+\fracn^p+\sum_^p \fracp^\underlinen^, where p^\underline=(p)_=\dfrac is a falling factorial. History Faulhaber's formula is also called Bernoulli's formula. Faulhaber did not know the properties of the coefficients later discovered by Bernoulli. Rather, he knew at least the first 17 cases, as well as the existence of the Faulhaber polynomials for odd powers described below. The arxiv.org paper has a misprint in the formula for the sum of 11th powers, which was corrected in the printed versionCorrect version./ref> A rigorous proof of these fo ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Johann Faulhaber
Johann Faulhaber (5 May 1580 – 10 September 1635) was a German mathematician. Born in Ulm, Faulhaber was a trained weaver who later took the role of a surveyor of the city of Ulm. He collaborated with Johannes Kepler and Ludolph van Ceulen. Besides his work on the fortifications of cities (notably Basel and Frankfurt), Faulhaber built water wheels in his home town and geometrical instruments for the military. Faulhaber made the first publication of Henry Briggs's Logarithm in Germany. He is also credited with the first printed solution of equal temperament.Date,name,ratio,cents: from equal temperament monochord tables p55-p78; J. Murray Barbour ''Tuning and Temperament'', Michigan State University Press 1951 He died in Ulm. Faulhaber's major contribution was in calculating the sums of powers of integers. Jacob Bernoulli makes references to Faulhaber in his ''Ars Conjectandi''. Works * See also * Faulhaber's formula In mathematics, Faulhaber's formula, named after the e ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Gerrit Faulhaber
Gerrit Henri Victor Lodewijk Faulhaber (22 September 1912 – 1951) was an Indonesian football midfielder who played for the Dutch East Indies in the 1938 FIFA World Cup The 1938 FIFA World Cup was the third edition of the World Cup, the quadrennial international football championship for senior men's national teams and was held in France from 4 June until 19 June 1938. Italy defended its title in the final, beat .... He also played for Djocoja Djokjakarta. References External links * People from Cirebon[...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Markus Faulhaber
The Knight's Cross of the Iron Cross (german: Ritterkreuz des Eisernen Kreuzes) and its variants were the highest awards in the military and paramilitary forces of Nazi Germany during World War II. The Knight's Cross of the Iron Cross was awarded for a wide range of reasons and across all ranks, from a senior commander for skilled leadership of his troops in battle to a low-ranking soldier for a single act of extreme gallantry. A total of 7,321 awards were made between its first presentation on 30 September 1939 and its last bestowal on 17 June 1945. This number is based on the analysis and acceptance of the order commission of the Association of Knight's Cross Recipients (AKCR). Presentations were made to members of the three military branches of the Wehrmacht—the Heer (Army), Kriegsmarine (Navy) and Luftwaffe (Air Force)—as well as the Waffen-SS, the Reichsarbeitsdienst (RAD—Reich Labour Service) and the Volkssturm (German national militia). There were also 43 foreign r ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
