|
Peano Surface
In mathematics, the Peano surface is the graph of the two-variable function :f(x,y)=(2x^2-y)(y-x^2). It was proposed by Giuseppe Peano in 1899 as a counterexample to a conjectured criterion for the existence of maxima and minima of functions of two variables. The surface was named the Peano surface () by Georg Scheffers in his 1920 book ''Lehrbuch der darstellenden Geometrie''. It has also been called the Peano saddle. See especially section "Peano Saddle", pp. 562–563. Properties The function f(x,y)=(2x^2-y)(y-x^2) whose graph is the surface takes positive values between the two parabolas y=x^2 and y=2x^2, and negative values elsewhere (see diagram). At the origin, the three-dimensional point (0,0,0) on the surface that corresponds to the intersection point of the two parabolas, the surface has a saddle point. The surface itself has positive Gaussian curvature in some parts and negative curvature in others, separated by another parabola, implying that its Gauss map has a W ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] [Amazon] |
Modell Einer Peanoschen Fläche -Schilling XLIX, 1-
Modell is the German word for "model" and also a surname. It may refer to: People * Arnold Modell (1924–2022), American professor of social psychiatry * Art Modell (1925–2012), American business executive and sports team owner * Bernadette Modell, (born 1935), British geneticist * David Modell (1961–2017), American business executive and sports team owner * Frank Modell (1917-2016), American cartoonist * Merriam Modell (1908–1994), American author of pulp fiction * Pat Modell (1931–2011), American TV actress * Rod Modell, given name for Deepchord, electronic music producer from Detroit, Michigan * William Modell (1921–2008), American businessman and chairman of Modell's Sporting Goods Companies * Modell's Sporting Goods, a sporting goods retailer based in New York City * Schabak Modell, a die-cast toy producer in Germany * Schuco Modell, a die-cast toy producer in Germany Media and entertainment * "Das Modell", a song recorded by the electro-pop group Kraftwerk ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] [Amazon] |
Annals Of Mathematics
The ''Annals of Mathematics'' is a mathematical journal published every two months by Princeton University and the Institute for Advanced Study. History The journal was established as ''The Analyst'' in 1874 and with Joel E. Hendricks as the founding editor-in-chief. It was "intended to afford a medium for the presentation and analysis of any and all questions of interest or importance in pure and applied Mathematics, embracing especially all new and interesting discoveries in theoretical and practical astronomy, mechanical philosophy, and engineering". It was published in Des Moines, Iowa, and was the earliest American mathematics journal to be published continuously for more than a year or two. This incarnation of the journal ceased publication after its tenth year, in 1883, giving as an explanation Hendricks' declining health, but Hendricks made arrangements to have it taken over by new management, and it was continued from March 1884 as the ''Annals of Mathematics''. T ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] [Amazon] |
World War I
World War I or the First World War (28 July 1914 – 11 November 1918), also known as the Great War, was a World war, global conflict between two coalitions: the Allies of World War I, Allies (or Entente) and the Central Powers. Fighting took place mainly in European theatre of World War I, Europe and the Middle Eastern theatre of World War I, Middle East, as well as in parts of African theatre of World War I, Africa and the Asian and Pacific theatre of World War I, Asia-Pacific, and in Europe was characterised by trench warfare; the widespread use of Artillery of World War I, artillery, machine guns, and Chemical weapons in World War I, chemical weapons (gas); and the introductions of Tanks in World War I, tanks and Aviation in World War I, aircraft. World War I was one of the List of wars by death toll, deadliest conflicts in history, resulting in an estimated World War I casualties, 10 million military dead and more than 20 million wounded, plus some 10 million civilian de ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] [Amazon] |
TU Dresden
TU Dresden (for , abbreviated as TUD), also as the Dresden University of Technology, is a public research university in Dresden, Germany. It is the largest institute of higher education in the city of Dresden, the largest university in Saxony and one of the 10 largest universities in Germany with 32,389 students . The name Technische Universität Dresden has only been used since 1961; the history of the university, however, goes back nearly 200 years to 1828. This makes it one of the oldest colleges of technology in Germany, and one of the country's oldest universities, which in German today refers to institutes of higher education that cover the entire curriculum. The university is a member of TU9, a consortium of the nine leading German Institutes of Technology. The university is one of eleven German universities which succeeded in the German Universities Excellence Initiative, Excellence Initiative in 2012, thus getting the title of a "University of Excellence". The TU Dresde ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] [Amazon] |
University Of Göttingen
The University of Göttingen, officially the Georg August University of Göttingen (, commonly referred to as Georgia Augusta), is a Public university, public research university in the city of Göttingen, Lower Saxony, Germany. Founded in 1734 by George II of Great Britain, George II, King of Great Britain and Electorate of Hanover, Elector of Hanover, it began instruction in 1737 and is recognized as the oldest university in Lower Saxony. Recognized for its historic and traditional significance, the university has affiliations with 47 Nobel Prize winners by its own count. Previously backed by the German Universities Excellence Initiative, the University of Göttingen is a member of the U15 (German Universities), U15 Group of major German research universities, underscoring its strong research profile. It is also a part of prominent international and European academic networks such as Guild of European Research-Intensive Universities, The Guild, the ENLIGHT alliance, and the Hek ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] [Amazon] |
Ludwig Scheeffer
Ludwig may refer to: People and fictional characters * Ludwig (given name), including a list of people and fictional characters * Ludwig (surname), including a list of people * Ludwig von Koopa, a character in Mario (the game) Arts and entertainment * "Ludwig", a 1967 song by Al Hirt * ''Ludwig'' (film), a 1973 film by Luchino Visconti about Ludwig II of Bavaria * '' Ludwig: Requiem for a Virgin King'', a 1972 film by Hans-Jürgen Syberberg about Ludwig II of Bavaria * ''Ludwig'' (1977 TV series), a 1977 animated children's series * ''Ludwig'' (2024 TV series), a 2024 television comedy drama series Other uses * Ludwig (crater), a small lunar impact crater just beyond the eastern limb of the Moon * Ludwig, Missouri, an unincorporated community in the United States * Ludwig Canal, an abandoned canal in southern Germany * Ludwig Drums, an American manufacturer of musical instruments * ''Ludwig'' (ship), a steamer that sank in 1861 after a collision with the '' Stadt Zürich'' Se ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] [Amazon] |
Fratelli Bocca
Fratelli Bocca Editori was an Italian publishing house. Their activity as printers in Piedmont dates back to the first decades of the 18th century. The business ceased in Milan in the 1950s. History Origins Antonio Secondo Bocca worked as a printer in the first half of the 18th century in Piedmont. Tancredi Faletti di Barolo: ''Stanze di Giuseppe Baretti Torinese al padre Serafino Bianchi da Novara'' printed by Antonio Secondo Bocca, documents his activity as printer of the city of Cuneo in 1744. Typographic notes starting from 1745 report: ''Excudebat Secundus Antonius Bocca in Torino: a spese di Domenico Maurizio Ponzone librajo vicino a S. Rocco''. Other publications edited by the same printer up to 1757 are present in various libraries. Giuseppe Bocca and the development of the publishing house Giuseppe Bocca was born in Asti around 1790. He initially managed a bookshop in Milan, but in 1829 he sold the business to Luigi Dumolard and moved to Turin, where he took over the mana ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] [Amazon] |
Calculus
Calculus is the mathematics, mathematical study of continuous change, in the same way that geometry is the study of shape, and algebra is the study of generalizations of arithmetic operations. Originally called infinitesimal calculus or "the calculus of infinitesimals", it has two major branches, differential calculus and integral calculus. The former concerns instantaneous Rate of change (mathematics), rates of change, and the slopes of curves, while the latter concerns accumulation of quantities, and areas under or between curves. These two branches are related to each other by the fundamental theorem of calculus. They make use of the fundamental notions of convergence (mathematics), convergence of infinite sequences and Series (mathematics), infinite series to a well-defined limit (mathematics), limit. It is the "mathematical backbone" for dealing with problems where variables change with time or another reference variable. Infinitesimal calculus was formulated separately ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] [Amazon] |
Angelo Genocchi
Angelo Genocchi (5 March 1817 – 7 March 1889) was an Italian mathematician who specialized in number theory. He worked with Giuseppe Peano. The Genocchi numbers are named after him. Life and Works Angelo Genocchi was born and grew up and went to school in Piacenza, Italy. Despite his love of mathematics, he studied law at Piacenza University. After practicing law in Piacenza for a number of years, he was invited by the university to become the Chair of Law. He was mostly unsuccessful as a teacher however and disliked by many of his students. Angelo Genocchi was part of a group who participated in the attempted overthrow of the Austro-Hungarian government in Piacenza. The revolution was unsuccessful. After the revolution Genocchi moved to Turin, where he took up mathematics as the subject of his research and teaching. He became President of the Academy of Sciences of Turin. It was there that he worked with Giuseppe Peano Giuseppe Peano (; ; 27 August 1858 – 20 April ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] [Amazon] |
Homogeneous Polynomial
In mathematics, a homogeneous polynomial, sometimes called quantic in older texts, is a polynomial whose nonzero terms all have the same degree. For example, x^5 + 2 x^3 y^2 + 9 x y^4 is a homogeneous polynomial of degree 5, in two variables; the sum of the exponents in each term is always 5. The polynomial x^3 + 3 x^2 y + z^7 is not homogeneous, because the sum of exponents does not match from term to term. The function defined by a homogeneous polynomial is always a homogeneous function. An algebraic form, or simply form, is a function defined by a homogeneous polynomial.However, as some authors do not make a clear distinction between a polynomial and its associated function, the terms ''homogeneous polynomial'' and ''form'' are sometimes considered as synonymous. A binary form is a form in two variables. A ''form'' is also a function defined on a vector space, which may be expressed as a homogeneous function of the coordinates over any basis. A polynomial of degree 0 ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] [Amazon] |
Cubic Form
In mathematics, a cubic form is a homogeneous polynomial of degree 3, and a cubic hypersurface is the zero set of a cubic form. In the case of a cubic form in three variables, the zero set is a cubic plane curve. In , Boris Delone and Dmitry Faddeev showed that binary cubic forms with integer coefficients can be used to parametrize order (ring theory), orders in cubic fields. Their work was generalized in to include all cubic rings (a is a ring (mathematics), ring that is isomorphic to Z3 as a Module (mathematics), Z-module),In fact, Pierre Deligne pointed out that the correspondence works over an arbitrary Scheme (mathematics), scheme. giving a discriminant-preserving bijection between Orbit (group theory), orbits of a GL(2, Z)-Group action (mathematics), action on the space of integral binary cubic forms and cubic rings up to isomorphism. The classification of real cubic forms a x^3 + 3 b x^2 y + 3 c x y^2 + d y^3 is linked to the classification of umbilical points of sur ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] [Amazon] |
Quadratic Form
In mathematics, a quadratic form is a polynomial with terms all of degree two (" form" is another name for a homogeneous polynomial). For example, 4x^2 + 2xy - 3y^2 is a quadratic form in the variables and . The coefficients usually belong to a fixed field , such as the real or complex numbers, and one speaks of a quadratic form ''over'' . Over the reals, a quadratic form is said to be '' definite'' if it takes the value zero only when all its variables are simultaneously zero; otherwise it is '' isotropic''. Quadratic forms occupy a central place in various branches of mathematics, including number theory, linear algebra, group theory ( orthogonal groups), differential geometry (the Riemannian metric, the second fundamental form), differential topology ( intersection forms of manifolds, especially four-manifolds), Lie theory (the Killing form), and statistics (where the exponent of a zero-mean multivariate normal distribution has the quadratic form -\mathbf^\math ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] [Amazon] |
