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- Carl_Gustav_Axel_Harnack abstract "Carl Gustav Axel von Harnack (7 May 1851, Tartu – 3 April 1888, Dresden) was a German mathematician who contributed to potential theory. Harnack's inequality applied to harmonic functions. He also worked on the real algebraic geometry of plane curves, proving Harnack's curve theorem for real plane algebraic curves.He was the son of the theologian Theodosius Harnack and the twin brother of theologian Adolf von Harnack (who long outlived him) - all of them from Tartu, which in that time was known as Dorpat, in what is today Estonia. His father was a professor at the University of Tartu, and he studied also himself in the university. After his studies in Tartu, he moved to Erlangen to become a student of Felix Klein. He published his PhD thesis in 1875, and received the right to teach (venia legendi) at the university of Leibzig the same year. One year later he accepted a position at Technical University Darmstadt. In 1877 he married Elisabeth von Öttingen, and they moved to Dresden, where he acquired professorship in the Polytechnikum, which becomes a technical university in 1890. Harnack suffered from health problems from 1882 onwards, forcing him to spend long times in a sanatorium. He published 29 scientific articles and was a well-known mathematician at the time of his death.The various Harnack inequalities in harmonic analysis and in related discrete and probabilistic contexts are named after him, as are the Harnack's curve theorem and Harnack's principle. The Harnack medal of the Max Planck Society is named after his brother, Adolf von Harnack.".
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- Carl_Gustav_Axel_Harnack wikiPageWikiLink Adolf_von_Harnack.
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- Carl_Gustav_Axel_Harnack wikiPageWikiLink Category:Baltic-German_people.
- Carl_Gustav_Axel_Harnack wikiPageWikiLink Category:German_mathematicians.
- Carl_Gustav_Axel_Harnack wikiPageWikiLink Category:People_from_Tartu.
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- Carl_Gustav_Axel_Harnack wikiPageWikiLink Darmstadt.
- Carl_Gustav_Axel_Harnack wikiPageWikiLink Dresden.
- Carl_Gustav_Axel_Harnack wikiPageWikiLink Erlangen.
- Carl_Gustav_Axel_Harnack wikiPageWikiLink Estonia.
- Carl_Gustav_Axel_Harnack wikiPageWikiLink Felix_Klein.
- Carl_Gustav_Axel_Harnack wikiPageWikiLink Germany.
- Carl_Gustav_Axel_Harnack wikiPageWikiLink Harmonic_function.
- Carl_Gustav_Axel_Harnack wikiPageWikiLink Harnack_medal.
- Carl_Gustav_Axel_Harnack wikiPageWikiLink Harnacks_curve_theorem.
- Carl_Gustav_Axel_Harnack wikiPageWikiLink Harnacks_inequality.
- Carl_Gustav_Axel_Harnack wikiPageWikiLink Harnacks_principle.
- Carl_Gustav_Axel_Harnack wikiPageWikiLink Leipzig.
- Carl_Gustav_Axel_Harnack wikiPageWikiLink Mathematician.
- Carl_Gustav_Axel_Harnack wikiPageWikiLink Max_Planck_Society.
- Carl_Gustav_Axel_Harnack wikiPageWikiLink Plane_curve.
- Carl_Gustav_Axel_Harnack wikiPageWikiLink Potential_theory.
- Carl_Gustav_Axel_Harnack wikiPageWikiLink Real_algebraic_geometry.
- Carl_Gustav_Axel_Harnack wikiPageWikiLink Sanatorium.
- Carl_Gustav_Axel_Harnack wikiPageWikiLink Tartu.
- Carl_Gustav_Axel_Harnack wikiPageWikiLink Theodosius_Harnack.
- Carl_Gustav_Axel_Harnack wikiPageWikiLink Theology.
- Carl_Gustav_Axel_Harnack wikiPageWikiLink University_of_Tartu.
- Carl_Gustav_Axel_Harnack wikiPageWikiLinkText "Axel Harnack".
- Carl_Gustav_Axel_Harnack wikiPageWikiLinkText "Axel".
- Carl_Gustav_Axel_Harnack wikiPageWikiLinkText "C. G. A. Harnack".
- Carl_Gustav_Axel_Harnack wikiPageWikiLinkText "Carl Gustav Axel Harnack".
- Carl_Gustav_Axel_Harnack wikiPageWikiLinkText "Harnack".
- Carl_Gustav_Axel_Harnack wikiPageWikiLinkText "Harnack, Carl Gustav Axel".
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- Carl_Gustav_Axel_Harnack subject Category:1851_births.
- Carl_Gustav_Axel_Harnack subject Category:1888_deaths.
- Carl_Gustav_Axel_Harnack subject Category:Baltic-German_people.
- Carl_Gustav_Axel_Harnack subject Category:German_mathematicians.
- Carl_Gustav_Axel_Harnack subject Category:People_from_Tartu.
- Carl_Gustav_Axel_Harnack subject Category:Twin_people_from_Estonia.
- Carl_Gustav_Axel_Harnack subject Category:Twin_people_from_Germany.
- Carl_Gustav_Axel_Harnack hypernym Mathematician.
- Carl_Gustav_Axel_Harnack type Person.
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- Carl_Gustav_Axel_Harnack type Mathematician.
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- Carl_Gustav_Axel_Harnack type Scientist.
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- Carl_Gustav_Axel_Harnack comment "Carl Gustav Axel von Harnack (7 May 1851, Tartu – 3 April 1888, Dresden) was a German mathematician who contributed to potential theory. Harnack's inequality applied to harmonic functions.".
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