Ackermann Steering Linkage
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Ackermann Steering Linkage
Ackermann may also refer to the following: *Ackermann (surname), for many people with this name *Several mathematical objects named after Wilhelm Ackermann **Ackermann function **Ackermann ordinal ** Ackermann set theory *Ackermann steering geometry, in mechanical engineering * Ackermann's formula, in control engineering *''Der Ackermann aus Böhmen'', or "The Ploughman from Bohemia", a work of poetry in Early New High German by Johannes von Tepl, written around 1401 *'' Ackermannviridae'', virus family named in honor of H.-W. Ackermann See also * Ackerman (other) *Ackermans (other) *Akkerman (other) *Åkerman Åkerman is a Swedish surname. Notable people with the surname include: * Gustaf Åkerman (1888–1959), Swedish economist * Gustav Åkerman (1901–1988), Swedish Army lieutenant general *Johan Åkerman (born 1972), Swedish ice hockey player * Joh ...
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Ackermann (surname)
Ackermann is a surname. "Acker" comes from German language, German or Old English, meaning "field", and is related to the word "acre". ''Ackermann'' means "farmer" (literally: "fieldman"). Notable people with the surname, also spelled Akkermann. include: Academics * Else Ackermann (1933–2019), German physician and pharmacologist * Jacob Fidelis Ackermann (1765–1815), a German doctor * Johann Christian Gottlieb Ackermann (1756–1801), a German doctor * Leopold Ackermann (Petrus Fouresius, 1771–1831), a biblical archaeologist * Liliane Ackermann (1938–2007), French scientist and author * Silke Ackermann, German museum curator, and historian of science * Theodor Ackermann (1825–1896), German pathologist * Wilhelm Ackermann (1896–1962), German mathematician Artists * Christian Ackermann (died 1710), Estonian sculptor * Franz Ackermann (born 1963), German abstract artist * Haider Ackermann (born 1971), French fashion designer * Johann Adam Ackermann (1780–1853), German lan ...
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Wilhelm Ackermann
Wilhelm Friedrich Ackermann (; ; 29 March 1896 – 24 December 1962) was a German mathematician and logician best known for his work in mathematical logic and the Ackermann function, an important example in the theory of computation. Biography Ackermann was born in Herscheid, Germany, and was awarded a Ph.D. by the University of Göttingen in 1925 for his thesis ''Begründung des "tertium non datur" mittels der Hilbertschen Theorie der Widerspruchsfreiheit'', which was a consistency proof of arithmetic apparently without Peano induction (although it did use e.g. induction over the length of proofs). This was one of two major works in proof theory in the 1920s and the only one following Hilbert's school of thought. From 1929 until 1948, he taught at the Arnoldinum Gymnasium in Burgsteinfurt, and then at Lüdenscheid until 1961. He was also a corresponding member of the Akademie der Wissenschaften (''Academy of Sciences'') in Göttingen, and was an honorary professor at the U ...
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Ackermann Function
In computability theory, the Ackermann function, named after Wilhelm Ackermann, is one of the simplest and earliest-discovered examples of a total function, total computable function that is not Primitive recursive function, primitive recursive. All primitive recursive functions are total and computable, but the Ackermann function illustrates that not all total computable functions are primitive recursive. After Ackermann's publication of his function (which had three non-negative integer arguments), many authors modified it to suit various purposes, so that today "the Ackermann function" may refer to any of numerous variants of the original function. One common version is the two-argument Ackermann–Péter function developed by Rózsa Péter and Raphael Robinson. This function is defined from the recurrence relation \operatorname(m+1, n+1) = \operatorname(m, \operatorname(m+1, n)) with appropriate Base case (recursion), base cases. Its value grows very rapidly; for example, \o ...
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Ackermann Ordinal
In mathematics, the Ackermann ordinal is a certain large countable ordinal, named after Wilhelm Ackermann. The term "Ackermann ordinal" is also occasionally used for the small Veblen ordinal, a somewhat larger ordinal. There is no standard notation for ordinals beyond the Feferman–Schütte ordinal Γ0. Most systems of notation use symbols such as ψ(α), θ(α), ψα(β), some of which are modifications of the Veblen function In mathematics, the Veblen functions are a hierarchy of normal functions ( continuous strictly increasing functions from ordinals to ordinals), introduced by Oswald Veblen in . If ''φ''0 is any normal function, then for any non-zero ordinal '' ...s to produce countable ordinals even for uncountable arguments, and some of which are " collapsing functions". The last one is an extension of the Veblen functions for more than 2 arguments. The smaller Ackermann ordinal is the limit of a system of ordinal notations invented by , and is sometimes denot ...
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Ackermann Set Theory
In mathematics and logic, Ackermann set theory (AST, also known as A^*/V) is an axiomatic set theory proposed by Wilhelm Ackermann in 1956. AST differs from Zermelo–Fraenkel set theory (ZF) in that it allows proper classes, that is, objects that are not sets, including a class of all sets. It replaces several of the standard ZF axioms for constructing new sets with a principle known as Ackermann's schema. Intuitively, the schema allows a new set to be constructed if it can be defined by a formula which does not refer to the class of all sets. In its use of classes, AST differs from other alternative set theories such as Morse–Kelley set theory and Von Neumann–Bernays–Gödel set theory in that a class may be an element of another class. William N. Reinhardt established in 1970 that AST is effectively equivalent in strength to ZF, putting it on equal foundations. In particular, AST is consistent if and only if ZF is consistent. Preliminaries AST is formulated in first-or ...
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Ackermann Steering Geometry
The Ackermann steering geometry (also called Ackermann's steering trapezium) is a geometric arrangement of linkages in the steering of a car or other vehicle A vehicle () is a machine designed for self-propulsion, usually to transport people, cargo, or both. The term "vehicle" typically refers to land vehicles such as human-powered land vehicle, human-powered vehicles (e.g. bicycles, tricycles, velo ... designed to solve the problem of wheels on the inside and outside of a turn needing to trace out circles of different radii. It was invented by the German carriage builder Georg Lankensperger in Munich in 1816, then patented by his agent in England, Rudolph Ackermann (1764–1834) in 1818 for horse-drawn carriages. Erasmus Darwin may have a prior claim as the inventor dating from 1758. He devised his steering system because he was injured when a carriage tipped over. Advantages The intention of Ackermann geometry is to avoid the need for tyres to slip sideways when foll ...
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Ackermann's Formula
In control theory, Ackermann's formula provides a method for designing controllers to achieve desired system behavior by directly calculating the feedback gains needed to place the closed-loop system's poles (eigenvalues) at specific locations ('' pole allocation'' problem). These poles directly influence how the system responds to inputs and disturbances. Ackermann's formula provides a direct way to calculate the necessary adjustments—specifically, the ''feedback gains''—needed to move the system's poles to the target locations. This method, developed by Jürgen Ackermann, is particularly useful for systems that don't change over time ( time-invariant systems), allowing engineers to precisely control the system's dynamics, such as its stability and responsiveness. State feedback control Consider a linear continuous-time invariant system with a state-space representation \begin \mathbf\dot(t) &= \mathbf(t) + \mathbf(t) \\ \mathbf(t) &= \mathbf(t) \end where is the sta ...
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Der Ackermann Aus Böhmen
''Der Ackermann aus Böhmen'' (German for "The Ploughman from Bohemia"), also known as ''Der Ackermann und der Tod'' ("The Ploughman and Death"), is a work of prose in Early New High German by Johannes von Tepl, written around 1401. Sixteen manuscripts and seventeen early printed editions are preserved; the earliest printed version dates to 1460 and is one of the two earliest printed books in German. It is remarkable for the high level of its language and vocabulary and is considered one of the most important works of late medieval German literature. It is a spirited dialogue between the ploughman, whose wife Margaretha has recently died, and Death. Central themes of the book are their opposing views on life, mankind, and morality. The work also represents a concept of marriage as a communion of love, a notion not generally accepted at the time. The work consists of 34 short chapters. In odd-numbered chapters the ploughman accuses Death of robbing him of his beloved young wife. ...
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Ackermannviridae
''Ackermannviridae'' is a family of viruses in the order '' Pantevenvirales'', class ''Caudoviricetes''. Gammaproteobacteria in the phylum Pseudomonadota serve as natural hosts. The family has two subfamilies and ten genera. Etymology The family's name, ''Ackermann'' is in honor of Hans-Wolfgang Ackermann (1936–2017), a German microbiologist, the suffix ''-viridae'' is the standard suffix for virus families.Hans-W. AckermannLife in science Bacteriophage. 2012 Oct 1; 2(4): 207. doi: 10.4161/bact.23159 . . A curriculum vitae. Taxonomy The following taxa are recognized (-''virinae'' denotes subfamily and -''virus'' denotes genus): * '' Aglimvirinae'' ** '' Agtrevirus'' ** '' Limestonevirus'' * '' Cvivirinae'' ** '' Kuttervirus'' ''incertae sedis or is a term used for a taxonomy (biology), taxonomic group where its broader relationships are unknown or undefined. Alternatively, such groups are frequently referred to as "enigmatic taxa". In the system of open nomenclature ...
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Ackerman (other)
Ackerman may refer to: Surname *Ackerman (surname), people with the surname Ackerman Places *Ackerman, Mississippi, town in Choctaw County, Mississippi, US * Ackerman, West Virginia, former unincorporated community in Mineral County, West Virginia, US * Ackerman Island, sandbar in the Arkansas River near Wichita, Kansas, US * Ackerman Nunatak, ridge of the Pensacola Mountains, Antarctica * Ackerman Ridge, ridge of the Queen Maud Mountains, Antarctica *Akkerman Other uses * Ackerman House (other) *Ackerman syndrome, medical disease *Ackermann steering geometry See also *Ackerman McQueen *Ackermans (other) * Ackermann (other) *Akkerman (other) *Åkerman Åkerman is a Swedish surname. Notable people with the surname include: * Gustaf Åkerman (1888–1959), Swedish economist * Gustav Åkerman (1901–1988), Swedish Army lieutenant general *Johan Åkerman (born 1972), Swedish ice hockey player * Joh ...
, a Swedish surname {{disambiguation, ...
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Ackermans (other)
Ackermans is a retail store based in South Africa. Ackermans may also refer to: * Stan Ackermans (1936–1995), Dutch mathematician *Ackermans & van Haaren, Belgian holding company See also * Ackerman (other) * Ackermann (other) *Akkerman (other) *Akerman *Åkerman Åkerman is a Swedish surname. Notable people with the surname include: * Gustaf Åkerman (1888–1959), Swedish economist * Gustav Åkerman (1901–1988), Swedish Army lieutenant general *Johan Åkerman (born 1972), Swedish ice hockey player * Joh ...
, a Swedish surname {{disambig ...
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