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Moebius
Moebius, Möbius or Mobius may refer to: People * August Ferdinand Möbius (1790–1868), German mathematician and astronomer * Theodor Möbius (1821–1890), German philologist * Karl Möbius (1825–1908), German zoologist and ecologist * Paul Julius Möbius (1853–1907), German neurologist * Dieter Moebius (1944–2015), German/Swiss musician * Mark Mobius (born 1936), emerging markets investments pioneer * Jean Giraud (1938–2012), French comics artist who used the pseudonym Mœbius Fictional characters * Mobius M. Mobius, a character in Marvel Comics * Mobius, also known as the Anti-Monitor, a supervillain in DC Comics Mathematics * Möbius energy, a particular knot energy * Möbius strip, an object with one surface and one edge * Möbius function, an important multiplicative function in number theory and combinatorics ** Möbius transform, transform involving the Möbius function ** Möbius inversion formula, in number theory * Möbius transformation, a particular rationa ...
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Jean Giraud
Jean Henri Gaston Giraud (; 8 May 1938 – 10 March 2012) was a French artist, cartoonist, and writer who worked in the Bandes dessinées, Franco-Belgian ''bandes dessinées'' (BD) tradition. Giraud garnered worldwide acclaim under the pseudonym Mœbius (; ), as well as Gir () outside the English-speaking world, used for the ''Blueberry (comics), Blueberry'' series—his most successful creation in the non-English speaking parts of the world—and his Western (genre), Western-themed paintings. Esteemed by Federico Fellini, Stan Lee, and Hayao Miyazaki, among others,Screech, Matthew. 2005. Moebius/Jean Giraud: ''Nouveau Réalisme'' and Science fiction. in Libbie McQuillan (ed) "The Francophone bande dessinée" Rodopi. p. 1 he has been described as the most influential ''bande dessinée'' artist after Hergé. His most famous works include the series ''Blueberry'', created with writer Jean-Michel Charlier, featuring one of the first antiheroes in Western comics. As Mœbius, he ...
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Dieter Moebius
Dieter Moebius (16 January 1944 – 20 July 2015) was a Swiss-born German electronic musician and composer, best known as a member of the influential krautrock bands Cluster and Harmonia. Moebius was studying art at Berlin's Akademie Grafik and working as a restaurant cook when he met Conrad Schnitzler, founder of the Zodiak Free Arts Lab with Hans-Joachim Roedelius. The trio founded the improv group Kluster in 1969. After the departure of Schnitzler, the duo changed their name to Cluster and relocated to the countryside village of Forst, releasing influential albums such as ''Zuckerzeit'' (1974) and ''Sowiesoso'' (1976). Moebius would also draw on his graphic design training create the cover artwork for various Cluster albums and related collaborations. Meanwhile, Moebius and Roedelius founded the band Harmonia with Michael Rother of Neu!, releasing the albums ''Musik von Harmonia'' (1974) and '' Deluxe'' (1975). Admirer Brian Eno would subsequently collaborate with both groups. ...
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Möbius Strip
In mathematics, a Möbius strip, Möbius band, or Möbius loop is a surface that can be formed by attaching the ends of a strip of paper together with a half-twist. As a mathematical object, it was discovered by Johann Benedict Listing and August Ferdinand Möbius in 1858, but it had already appeared in Roman mosaics from the third century CE. The Möbius strip is a non-orientable surface, meaning that within it one cannot consistently distinguish clockwise from counterclockwise turns. Every non-orientable surface contains a Möbius strip. As an abstract topological space, the Möbius strip can be embedded into three-dimensional Euclidean space in many different ways: a clockwise half-twist is different from a counterclockwise half-twist, and it can also be embedded with odd numbers of twists greater than one, or with a knotted centerline. Any two embeddings with the same knot for the centerline and the same number and direction of twists are topologically equivalent. All of t ...
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Mobius M
Moebius, Möbius or Mobius may refer to: People * August Ferdinand Möbius (1790–1868), German mathematician and astronomer * Theodor Möbius (1821–1890), German philologist * Karl Möbius (1825–1908), German zoologist and ecologist * Paul Julius Möbius (1853–1907), German neurologist * Dieter Moebius (1944–2015), German/Swiss musician * Mark Mobius (born 1936), emerging markets investments pioneer * Jean Giraud (1938–2012), French comics artist who used the pseudonym Mœbius Fictional characters * Mobius M. Mobius, a character in Marvel Comics * Mobius, also known as the Anti-Monitor, a supervillain in DC Comics Mathematics * Möbius energy, a particular knot energy * Möbius strip, an object with one surface and one edge * Möbius function, an important multiplicative function in number theory and combinatorics ** Möbius transform, transform involving the Möbius function ** Möbius inversion formula, in number theory * Möbius transformation, a particular rationa ...
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Möbius Transform
Moebius, Möbius or Mobius may refer to: People * August Ferdinand Möbius (1790–1868), German mathematician and astronomer * Theodor Möbius (1821–1890), German philologist * Karl Möbius (1825–1908), German zoologist and ecologist * Paul Julius Möbius (1853–1907), German neurologist * Dieter Moebius (1944–2015), German/Swiss musician * Mark Mobius (born 1936), emerging markets investments pioneer * Jean Giraud (1938–2012), French comics artist who used the pseudonym Mœbius Fictional characters * Mobius M. Mobius, a character in Marvel Comics * Mobius, also known as the Anti-Monitor, a supervillain in DC Comics Mathematics * Möbius energy, a particular knot energy * Möbius strip, an object with one surface and one edge * Möbius function, an important multiplicative function in number theory and combinatorics ** Möbius transform, transform involving the Möbius function ** Möbius inversion formula, in number theory * Möbius transformation, a particular ration ...
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Legacy Of Kain
''Legacy of Kain'' is a series of dark fantasy action-adventure video games primarily developed by Crystal Dynamics and formerly published by Eidos Interactive, then Square Enix Europe after 2009. The first title, '' Blood Omen: Legacy of Kain'', was created by Silicon Knights in association with Crystal Dynamics, but, after a legal battle, Crystal Dynamics retained the rights to the game's intellectual property, and continued its story with four sequels. To date, five games comprise the series, all initially developed for video game consoles and later ported to Microsoft Windows. Focusing on the eponymous character of Kain, a vampire antihero, each title features action, exploration and puzzle-solving, with some role-playing game elements. The series takes place in the fictional land of Nosgoth—a gothic fantasy setting—and revolves around Kain's quest to defy his fate and restore balance to the world. '' Legacy of Kain: Soul Reaver'' introduced another antihero protagoni ...
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Paul Julius Möbius
Paul Julius Möbius (January 24, 1853 – January 8, 1907) was a German neurologist born in Leipzig. His grandfather was German mathematician and theoretical astronomer, August Ferdinand Möbius (1790–1868). Prior to entering the medical field in 1873, he studied philosophy and theology at the Universities of Leipzig, Jena and Marburg. After earning his medical doctorate in 1876, he enlisted in the army, attaining the rank of ''Oberstabsarzt'' (senior staff surgeon). After leaving the army, he returned to Leipzig, where he opened a private practice and worked as an assistant to neurologist Adolph Strümpell (1853-1925) at the university policlinic. In 1883 he obtained his habilitation for neurology. He was a prolific writer and is well known for publications in the fields of neurophysiology and endocrinology. Among his writings in psychiatry were psychopathological studies of Goethe, Rousseau, Schopenhauer and Nietzsche. He was also an editor of ''Schmidt's Jahrbücher der in- ...
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Xenoblade Chronicles 3
''Xenoblade Chronicles 3'' is a 2022 action role-playing game developed by Monolith Soft and published by Nintendo for the Nintendo Switch. Released on July 29, it is the fourth installment of the open-world ''Xenoblade Chronicles'' franchise, and the eighth main entry in the '' Xeno'' series. ''Xenoblade Chronicles 3'' depicts the consequences of the worlds featured in ''Xenoblade Chronicles'' and ''Xenoblade Chronicles 2,'' and concludes the trilogy's overall narrative. The development team wanted to develop a story-driven game in the style of the first two entries in the series, while featuring content and combat gameplay from previous ''Xeno'' entries. The game was announced February 9th, 2022, and released July 29th the same year. Like the first two entries, the game was localized by Nintendo of Europe. In gameplay, the game is similar in story writing, but very different to previous entries in mechanics. The game takes place in Aionios, where two warring nations, Keves and ...
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Möbius Function
The Möbius function is a multiplicative function in number theory introduced by the German mathematician August Ferdinand Möbius (also transliterated ''Moebius'') in 1832. It is ubiquitous in elementary and analytic number theory and most often appears as part of its namesake the Möbius inversion formula. Following work of Gian-Carlo Rota in the 1960s, generalizations of the Möbius function were introduced into combinatorics, and are similarly denoted . Definition For any positive integer , define as the sum of the primitive th roots of unity. It has values in depending on the factorization of into prime factors: * if is a square-free positive integer with an even number of prime factors. * if is a square-free positive integer with an odd number of prime factors. * if has a squared prime factor. The Möbius function can alternatively be represented as : \mu(n) = \delta_ \lambda(n), where is the Kronecker delta, is the Liouville function, is the number of dis ...
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Möbius Plane
In mathematics, a Möbius plane (named after August Ferdinand Möbius) is one of the Benz planes: Möbius plane, Laguerre plane and Minkowski plane. The classical example is based on the geometry of lines and circles in the real affine plane. A second name for Möbius plane is inversive plane. It is due to the existence of ''inversions'' in the classical Möbius plane. An inversion is an involutory mapping which leaves the points of a circle or line fixed (see below). Relation to affine planes Affine planes are systems of points and lines that satisfy, amongst others, the property that two points determine exactly one line. This concept can be generalized to systems of points and circles, with each circle being determined by three non-collinear points. However, three collinear points determine a line, not a circle. This drawback can be removed by adding a point at infinity to every line. If we call both circles and such completed lines ''cycles'', we get an incidence structure in ...
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Möbius Ladder
In graph theory, the Möbius ladder , for even numbers , is formed from an by adding edges (called "rungs") connecting opposite pairs of vertices in the cycle. It is a cubic, circulant graph, so-named because (with the exception of (the utility graph ), has exactly four-cycles which link together by their shared edges to form a topological Möbius strip. Möbius ladders were named and first studied by . Properties For every even , the Möbius ladder is a nonplanar apex graph, meaning that it cannot be drawn without crossings in the plane but removing one vertex allows the remaining graph to be drawn without crossings. These graphs have crossing number one, and can be embedded without crossings on a torus or projective plane. Thus, they are examples of toroidal graphs. explores embeddings of these graphs onto higher genus surfaces. Möbius ladders are vertex-transitive – they have symmetries taking any vertex to any other vertex – but (with the exceptions of and ...
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August Ferdinand Möbius
August Ferdinand Möbius (, ; ; 17 November 1790 – 26 September 1868) was a German mathematician and theoretical astronomer. Early life and education Möbius was born in Schulpforta, Electorate of Saxony, and was descended on his mother's side from religious reformer Martin Luther. He was home-schooled until he was 13, when he attended the college in Schulpforta in 1803, and studied there, graduating in 1809. He then enrolled at the University of Leipzig, where he studied astronomy under the mathematician and astronomer Karl Mollweide.August Ferdinand Möbius, The MacTutor History of Mathematics archive
History.mcs.st-andrews.ac.uk. Retrieved on 2017-04-26.
In 1813, he began to study astronomy under mathematician