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Carl Gustav Axel Harnack
Carl Gustav Axel Harnack (, Dorpat (now ) – 3 April 1888, Dresden) was a Baltic 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 HarnackHarnack, Axel; George L. Cathcart"An Introduction to the Study of the Elements of the Differential and Integral Calculus"London: Williams and Norgate, 1891, p. 6. and the twin brother of theologian Adolf von Harnack (who long outlived him) - all of them from Dorpat, now known as Tartu, in what is today Estonia. After his studies at the University of Dorpat (where his father was a professor), he moved to Erlangen to become a student of Felix Klein. He published his Ph.D. thesis in 1875 and received the right to teach (venia legendi) at the University of Leipzig the same year. One year later he accepted a position ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Harnack
Harnack is the surname of a German family of intellectuals, artists, mathematicians, scientists, theologians and those in other fields. Several family members were executed by the Nazis during the last years of the Third Reich. * Theodosius Harnack (1817–1889), German theologian :*Anna Harnack (1849–?) :* Adolf von Harnack (1851–1930), German liberal theologian and historian of religion ::*Agnes von Zahn-Harnack (1884–1950), German writer and women's rights activist ::* Ernst von Harnack (1888–1945), German anti-Nazi resistance fighter :::* Gustav-Adolf von Harnack (1917-2010), German pediatrician ::* Elisabet von Harnack (1892–1976), German social worker ::* Axel von Harnack (1895–1974), German historian and philologist :* Carl Gustav Axel Harnack (1851–1888), German mathematician :* Erich Harnack, professor of pharmacology :* Otto Harnack, literature historian ::* Clara Harnack, painter and wife of Otto :::* Arvid Harnack (1901–1942), German anti-Nazi resista ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
University Of Dorpat
The University of Tartu (UT; et, Tartu Ülikool; la, Universitas Tartuensis) is a university in the city of Tartu in Estonia. It is the national university of Estonia. It is the only classical university in the country, and also its biggest and most prestigious university. It was founded under the name of ''Academia Gustaviana'' in 1632 by Baron Johan Skytte, the Governor-General (1629–1634) of Swedish Livonia, Ingria, and Karelia, with the required ratification provided by his long-time friend and former student – from age 7 –, King Gustavus Adolphus, shortly before the king's death on 6 November in the Battle of Lützen (1632), during the Thirty Years' War (1618–1648). Nearly 14,000 students are at the university, of whom over 1,300 are foreign students. The language of instruction in most curricula is Estonian, some more notable exceptions are taught in English, such as semiotics, applied measurement science, computer science, information technology law, and E ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
People From Kreis Dorpat
A person ( : people) is a being that has certain capacities or attributes such as reason, morality, consciousness or self-consciousness, and being a part of a culturally established form of social relations such as kinship, ownership of property, or legal responsibility. The defining features of personhood and, consequently, what makes a person count as a person, differ widely among cultures and contexts. In addition to the question of personhood, of what makes a being count as a person to begin with, there are further questions about personal identity and self: both about what makes any particular person that particular person instead of another, and about what makes a person at one time the same person as they were or will be at another time despite any intervening changes. The plural form "people" is often used to refer to an entire nation or ethnic group (as in "a people"), and this was the original meaning of the word; it subsequently acquired its use as a plural form of per ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
People From Tartu
A person (plural, : people) is a being that has certain capacities or attributes such as reason, morality, consciousness or self-consciousness, and being a part of a culturally established form of social relations such as kinship, ownership of property, or legal obligation, legal responsibility. The defining features of personhood and, consequently, what makes a person count as a person, differ widely among cultures and contexts. In addition to the question of personhood, of what makes a being count as a person to begin with, there are further questions about personal identity and self: both about what makes any particular person that particular person instead of another, and about what makes a person at one time the same person as they were or will be at another time despite any intervening changes. The plural form "people" is often used to refer to an entire nation or ethnic group (as in "a people"), and this was the original meaning of the word; it subsequently acquired its us ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
1888 Deaths
In Germany, 1888 is known as the Year of the Three Emperors. Currently, it is the year that, when written in Roman numerals, has the most digits (13). The next year that also has 13 digits is the year 2388. The record will be surpassed as late as 2888, which has 14 digits. Events January–March * January 3 – The 91-centimeter telescope at Lick Observatory in California is first used. * January 12 – The Schoolhouse Blizzard hits Dakota Territory, the states of Montana, Minnesota, Nebraska, Kansas, and Texas, leaving 235 dead, many of them children on their way home from school. * January 13 – The National Geographic Society is founded in Washington, D.C. * January 21 – The Amateur Athletic Union is founded by William Buckingham Curtis in the United States. * January 26 – The Lawn Tennis Association is founded in England. * February 6 – Gillis Bildt becomes Prime Minister of Sweden (1888–1889). * February 27 – In West O ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
1851 Births
Events January–March * January 11 – Hong Xiuquan officially begins the Taiping Rebellion. * January 15 – Christian Female College, modern-day Columbia College, receives its charter from the Missouri General Assembly. * January 23 – The flip of a coin, subsequently named Portland Penny, determines whether a new city in the Oregon Territory is named after Boston, Massachusetts, or Portland, Maine, with Portland winning. * January 28 – Northwestern University is founded in Illinois. * February 1 – ''Brandtaucher'', the oldest surviving submersible craft, sinks during acceptance trials in the German port of Kiel, but the designer, Wilhelm Bauer, and the two crew escape successfully. * February 6 – Black Thursday in Australia: Bushfires sweep across the state of Victoria, burning about a quarter of its area. * February 12 – Edward Hargraves claims to have found gold in Australia. * February 15 – In Boston, Massachusetts, ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Max Planck Society
The Max Planck Society for the Advancement of Science (german: Max-Planck-Gesellschaft zur Förderung der Wissenschaften e. V.; abbreviated MPG) is a formally independent non-governmental and non-profit association of German research institutes. Founded in 1911 as the Kaiser Wilhelm Society, it was renamed to the Max Planck Society in 1948 in honor of its former president, theoretical physicist Max Planck. The society is funded by the federal and state governments of Germany. Mission According to its primary goal, the Max Planck Society supports fundamental research in the natural, life and social sciences, the arts and humanities in its 86 (as of December 2018) Max Planck Institutes. The society has a total staff of approximately 17,000 permanent employees, including 5,470 scientists, plus around 4,600 non-tenured scientists and guests. The society's budget for 2018 was about €1.8 billion. As of December 31, 2018, the Max Planck Society employed a total of 23,767 staff, of whom ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Harnack's Principle
In the mathematical field of partial differential equations, Harnack's principle or Harnack's theorem is a corollary of Harnack's inequality which deals with the convergence of sequences of harmonic functions. Given a sequence of harmonic functions on an open connected subset of the Euclidean space , which are pointwise monotonically nondecreasing in the sense that :u_1(x) \le u_2(x) \le \dots for every point of , then the limit : \lim_u_n(x) automatically exists in the extended real number line for every . Harnack's theorem says that the limit either is infinite at every point of or it is finite at every point of . In the latter case, the convergence is uniform on compact sets and the limit is a harmonic function on . The theorem is a corollary of Harnack's inequality. If is a Cauchy sequence for any particular value of , then the Harnack inequality applied to the harmonic function implies, for an arbitrary compact set containing , that is arbitrarily small for sufficient ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Harnack Inequality
In mathematics, Harnack's inequality is an inequality relating the values of a positive harmonic function at two points, introduced by . Harnack's inequality is used to prove Harnack's theorem about the convergence of sequences of harmonic functions. , and generalized Harnack's inequality to solutions of elliptic or parabolic partial differential equations. Such results can be used to show the interior regularity of weak solutions. Perelman's solution of the Poincaré conjecture uses a version of the Harnack inequality, found by , for the Ricci flow. The statement Harnack's inequality applies to a non-negative function ''f'' defined on a closed ball in R''n'' with radius ''R'' and centre ''x''0. It states that, if ''f'' is continuous on the closed ball and harmonic on its interior, then for every point ''x'' with , ''x'' − ''x''0, = ''r'' 0 (depending only on ''K'', \tau, t-\tau, and the coefficients of \mathcal) such that, for each t\in(\tau, ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Sanatorium
A sanatorium (from Latin '' sānāre'' 'to heal, make healthy'), also sanitarium or sanitorium, are antiquated names for specialised hospitals, for the treatment of specific diseases, related ailments and convalescence. Sanatoriums are often located in a healthy climate, usually in the countryside. The idea of healing was an important reason for the historical wave of establishments of sanatoriums, especially at the end of the 19th- and early 20th centuries. One sought for instance the healing of consumptives, especially tuberculosis (before the discovery of antibiotics) or alcoholism, but also of more obscure addictions and longings, of hysteria, masturbation, fatigue and emotional exhaustion. Facility operators were often charitable associations such as the Order of St. John and the newly founded social welfare insurance companies. Sanatoriums should not be confused with the Russian sanatoriums from the time of the Soviet Union, which were a type of sanatorium resort r ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Darmstadt
Darmstadt () is a city in the States of Germany, state of Hesse in Germany, located in the southern part of the Frankfurt Rhine Main Area, Rhine-Main-Area (Frankfurt Metropolitan Region). Darmstadt has around 160,000 inhabitants, making it the fourth largest city in the state of Hesse after Frankfurt am Main, Wiesbaden, and Kassel. Darmstadt holds the official title "City of Science" (german: link=no, Wissenschaftsstadt) as it is a major centre of scientific institutions, universities, and high-technology companies. The European Organisation for the Exploitation of Meteorological Satellites (EUMETSAT) and the European Space Operations Centre (ESOC) are located in Darmstadt, as well as Gesellschaft für Schwerionenforschung, GSI Centre for Heavy Ion Research, where several chemical elements such as bohrium (1981), meitnerium (1982), hassium (1984), darmstadtium (1994), roentgenium (1994), and copernicium (1996) were discovered. The existence of the following elements were also ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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