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Jacob Lüroth
Jacob Lüroth (18 February 1844, Mannheim, German Confederation, Germany – 14 September 1910, Munich, German Empire, Germany) was a German mathematician who proved Lüroth's theorem and introduced Lüroth quartics. His name is sometimes written Lueroth, following the common Umlaut (diacritic)#Printing conventions in German, printing convention for umlauted characters. He began his studies in astronomy at the University of Bonn, but switched to mathematics when his poor eyesight made taking astronomical observations impossible. He received his doctorate in 1865 from Heidelberg University, for a thesis on Pascal's theorem. From 1868 he was at the Karlsruhe Institute of Technology, where he became a professor in 1869, and from 1880 he was a professor at the Technical University of Munich, succeeding Felix Klein. In 1883, he became a professor at the University of Freiburg, where he remained until his retirement. Following up on Carl Friedrich Gauss's work on statistics, Lüroth ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Jacob Lueroth
Jacob, later known as Israel, is a Patriarchs (Bible), Hebrew patriarch of the Abrahamic religions. He first appears in the Torah, where he is described in the Book of Genesis as a son of Isaac and Rebecca. Accordingly, alongside his older fraternal twin brother Esau, Jacob's paternal grandparents are Abraham and Sarah and his maternal grandfather is Bethuel, whose wife is not mentioned. He is said to have bought Esau's birthright and, with his mother's help, deceived his aging father to bless him instead of Esau. Then, following a severe drought in his homeland Canaan, Jacob and his descendants migrated to neighbouring Biblical Egypt, Egypt through the efforts of his son Joseph (Genesis), Joseph, who had become a confidant of the Pharaohs in the Bible, pharaoh. After dying in Egypt at the age of 147, he is supposed to have been buried in the Cave of Machpelah in Hebron. Per the Hebrew Bible, Jacob's progeny were beget by four women: his wives (and maternal cousins) Leah and Rach ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Carl Friedrich Gauss
Johann Carl Friedrich Gauss (; ; ; 30 April 177723 February 1855) was a German mathematician, astronomer, geodesist, and physicist, who contributed to many fields in mathematics and science. He was director of the Göttingen Observatory and professor of astronomy from 1807 until his death in 1855. While studying at the University of Göttingen, he propounded several mathematical theorems. As an independent scholar, he wrote the masterpieces '' Disquisitiones Arithmeticae'' and ''Theoria motus corporum coelestium''. Gauss produced the second and third complete proofs of the fundamental theorem of algebra. In number theory, he made numerous contributions, such as the composition law, the law of quadratic reciprocity and the Fermat polygonal number theorem. He also contributed to the theory of binary and ternary quadratic forms, the construction of the heptadecagon, and the theory of hypergeometric series. Due to Gauss' extensive and fundamental contributions to science ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
1844 Births
In the Philippines, 1844 had only 365 days, when Tuesday, December 31 was skipped as Monday, December 30 was immediately followed by Wednesday, January 1, 1845, the next day after. The change also applied to Caroline Islands, Guam, Marianas Islands, Marshall Islands and Palau as part of the Captaincy General of the Philippines; these became the first places on Earth to redraw the International Date Line. Events January–March * January 4 – The first issue of the Swedish-languaged ''Saima'' newspaper founded by J. V. Snellman is published in Kuopio, Finland. * January 15 – The University of Notre Dame, based in the city of the same name, receives its charter from Indiana. * February 27 – The Dominican Republic gains independence from Haiti. * February 28 – A gun on the USS ''Princeton'' explodes while the boat is on a Potomac River cruise, killing U.S. Secretary of State Abel Upshur, U.S. Secretary of the Navy Thomas Walker Gilmer and four other people. ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Academic Staff Of The Technical University Of Munich
An academy (Attic Greek: Ἀκαδήμεια; Koine Greek Ἀκαδημία) is an institution of tertiary education. The name traces back to Plato's school of philosophy, founded approximately 386 BC at Akademia, a sanctuary of Athena, the goddess of wisdom and skill, north of Athens, Greece. The Royal Spanish Academy defines academy as scientific, literary or artistic society established with public authority and as a teaching establishment, public or private, of a professional, artistic, technical or simply practical nature. Etymology The word comes from the ''Academy'' in ancient Greece, which derives from the Athenian hero, ''Akademos''. Outside the city walls of Athens, the gymnasium was made famous by Plato as a center of learning. The sacred space, dedicated to the goddess of wisdom, Athena, had formerly been an olive grove, hence the expression "the groves of Academe". In these gardens, the philosopher Plato conversed with followers. Plato developed his sessions ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
19th-century German Mathematicians
The 19th century began on 1 January 1801 (represented by the Roman numerals MDCCCI), and ended on 31 December 1900 (MCM). It was the 9th century of the 2nd millennium. It was characterized by vast social upheaval. Slavery was abolished in much of Europe and the Americas. The First Industrial Revolution, though it began in the late 18th century, expanded beyond its British homeland for the first time during the 19th century, particularly remaking the economies and societies of the Low Countries, France, the Rhineland, Northern Italy, and the Northeastern United States. A few decades later, the Second Industrial Revolution led to ever more massive urbanization and much higher levels of productivity, profit, and prosperity, a pattern that continued into the 20th century. The Catholic Church, in response to the growing influence and power of modernism, secularism and materialism, formed the First Vatican Council in the late 19th century to deal with such problems and confirm ce ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Netto's Theorem
In mathematical analysis, Netto's theorem states that continuous bijections of smooth manifolds preserve dimension. That is, there does not exist a continuous bijection between two smooth manifolds of different dimension. It is named after Eugen Netto. The case for maps from a higher-dimensional manifold to a one-dimensional manifold was proven by Jacob Lüroth in 1878, using the intermediate value theorem to show that no manifold containing a topological circle can be mapped continuously and bijectively to the real line. Both Netto in 1878, and Georg Cantor in 1879, gave faulty proofs of the general theorem. The faults were later recognized and corrected. An important special case of this theorem concerns the non-existence of continuous bijections from one-dimensional spaces, such as the real line or unit interval, to two-dimensional spaces, such as the Euclidean plane or unit square. The conditions of the theorem can be relaxed in different ways to obtain interesting classes of ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Distributive Lattice
In mathematics, a distributive lattice is a lattice (order), lattice in which the operations of join and meet distributivity, distribute over each other. The prototypical examples of such structures are collections of sets for which the lattice operations can be given by set union (set theory), union and intersection (set theory), intersection. Indeed, these lattices of sets describe the scenery completely: every distributive lattice is—up to order isomorphism, isomorphism—given as such a lattice of sets. Definition As in the case of arbitrary lattices, one can choose to consider a distributive lattice ''L'' either as a structure of order theory or of universal algebra. Both views and their mutual correspondence are discussed in the article on lattice (order), lattices. In the present situation, the algebraic description appears to be more convenient. A lattice (''L'',∨,∧) is distributive if the following additional identity holds for all ''x'', ''y'', and ''z'' i ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Heidelberg Academy Of Sciences
The Heidelberg Academy of Sciences and Humanities (German: ''Heidelberger Akademie der Wissenschaften''), established in 1909 in Heidelberg, Germany, is an assembly of scholars and scientists in the German state of Baden-Wuerttemberg. The academy is a member of the Union of German Academies of Sciences and Humanities The Union of German Academies of Sciences and Humanities (German: Union der deutschen Akademien der Wissenschaften or in short: Akademienunion) is an umbrella organization for eight Germany, German academies of sciences and humanities. The Union b .... References External linksHeidelberg Academy of Sciences and Humanities website 1909 establishments in Germany Scientific organizations established in 1909 Union of German Academies of Sciences and Humanities Education in Heidelberg {{Germany-org-stub ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Academy Of Sciences Leopoldina
The German National Academy of Sciences Leopoldina (), in short Leopoldina, is the national academy of Germany, and is located in Halle (Saale). Founded on 1 January 1652, based on academic models in Italy, it was originally named the ''Academia Naturae Curiosorum'' until 1687 when Emperor Leopold I raised it to an academy and named it after himself. It was since known under the German name ''Deutsche Akademie der Naturforscher Leopoldina'' until 2007, when it was declared to be Germany's National Academy of Sciences. It is the oldest continuously operating academy of natural sciences worldwide. History ' The Leopoldina was founded in the imperial city of Schweinfurt on 1 January 1652 under the Latin name sometimes translated into English as "Academy of the Curious as to Nature." It was founded by four local physicians – Johann Laurentius Bausch, the first president of the society, Johann Michael Fehr, Georg Balthasar Metzger, and Georg Balthasar Wohlfarth; and was the on ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Royal Bavarian Academy Of Sciences
The Bavarian Academy of Sciences and Humanities () is an independent public institution, located in Munich. It appoints scholars whose research has contributed considerably to the increase of knowledge within their subject. The general goal of the academy is the promotion of interdisciplinary encounters and contacts and the cooperation of representatives of different subjects. History On 12 October 1758 the lawyer Johann Georg von Lori (1723–1787), Privy Counsellor at the College of Coinage and Mining in Munich, founded the ''Bayerische Gelehrte Gesellschaft'' (Learned Society of Bavaria). This led to the foundation by Maximilian III Joseph, Elector of Bavaria, of the Bavarian Academy of Sciences and Humanities on 28 March 1759. Count Sigmund von Haimhausen was the first president. The Academy's foundation charter specifically mentions the Parnassus Boicus, an earlier learned society. Originally, the Academy consisted of two divisions, the Class for History (''Historische ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Credible Interval
In Bayesian statistics, a credible interval is an interval used to characterize a probability distribution. It is defined such that an unobserved parameter value has a particular probability \gamma to fall within it. For example, in an experiment that determines the distribution of possible values of the parameter \mu, if the probability that \mu lies between 35 and 45 is \gamma=0.95, then 35 \le \mu \le 45 is a 95% credible interval. Credible intervals are typically used to characterize posterior probability distributions or predictive probability distributions. Their generalization to disconnected or multivariate sets is called credible set or credible region. Credible intervals are a Bayesian analog to confidence intervals in frequentist statistics. The two concepts arise from different philosophies: Bayesian intervals treat their bounds as fixed and the estimated parameter as a random variable, whereas frequentist confidence intervals treat their bounds as random varia ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
William Sealy Gosset
William Sealy Gosset (13 June 1876 – 16 October 1937) was an English statistician, chemist and brewer who worked for Guinness. In statistics, he pioneered small sample experimental design. Gosset published under the pen name Student and developed Student's t-distribution – originally called Student's "z" – and "Student's test of statistical significance". Life and career Born in Canterbury, England, Canterbury, England the eldest son of Agnes Sealy Vidal and Colonel Frederic Gosset, R.E. Royal Engineers, Gosset attended Winchester College before matriculating as Winchester Scholar in natural sciences and mathematics at New College, Oxford. Upon graduating in 1899, he joined the brewery of Arthur Guinness & Son in Dublin, Ireland; he spent the rest of his 38-year career at Guinness. The site cites ''Dictionary of Scientific Biography'' (New York: Scribner's, 1972), pp. 476–477; ''International Encyclopedia of Statistics'', vol. I (New York: Free Press, 1978), pp. 409–4 ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
