wiktionary GaussGauss may refer to Carl Friedrich Gauss , German mathematician and physicist Gauss unit , a unit of magnetic flux density or magnetic induction GAUSS software GAUSS software , a software package Gauss crater , a crater on the moon Gauss ship Gauss ship , a German research ship People with the surname Carl Friedrich Gauss , German mathematician and physicist Christian Gauss , literary critic Ernst Gauss or Germar Rudolf, German chemist and Holocaust denier See also Coilgun or Gauss gun, a type of magnetic gun List of topics named after Carl Friedrich GaussGauss s law of electric fields disambig surname ar cs Gauss de Gau Begriffskl rung es Gauss desambiguaci n fr Gauss homonymie ko it Gauss disambigua pl Gauss pt Gauss desambigua o ru sl Gauss fi Gauss sv Gauss olika betydelser tr Gauss vi Gau zh ... more details
Gauss s lemma can mean any of several Lemma mathematics lemmas named after Carl Friedrich GaussGauss s lemma polynomial Gauss s lemma number theory Gauss s lemma Riemannian geometry See also List of topics named after Carl Friedrich Gauss mathdab Category Lemmas eo Ga sa lemo fr Lemme de Gauss he it Lemma di Gauss ... more details
The phrase Gauss Markov is used in two different ways. See Gauss Markov process es in probability theory . The Gauss Markov theorem in mathematical statistics In this theorem, one does not assume the probability distributions are normal distribution Gaussian . mathdab ... more details
Unreferenced stub auto yes date December 2009 Image Stamp Germany 2001 MiNr2229 Polarforschungsschiff Gau .jpg thumb German stamp, 2001 Gauss named after Carl Friedrich Gauss was a ship used for the Gauss expedition to Antarctica. 1901 1903 led by Arctic veteran and geology professor Erich von Drygalski . Polar exploration state collapsed DEFAULTSORT Gauss Ship Category Exploration ships Ship stub ar de Gau 1901 ... more details
Christian Gauss 1878 1951 was an influential literary critic and professor of literature. Biography Gauss was born in Ann Arbor, Michigan . His father had fled W rttemberg when Prussia began to dominate it in the 1860s. The son graduated from the University of Michigan at 20, worked as a newspaper correspondent in Paris , taught at Michigan and Lehigh University in the United States, and in 1905 became a first preceptor at Princeton University , where he remained until his retirement in 1946. At Princeton, Gauss became a full professor two years after his arrival he was chairman of the department of modern languages for a time and he served as Dean education dean . After retiring from Princeton, he was president of Phi Beta Kappa . Though he was not a prolific author or a public figure, Gauss left a mark on literary scholarship Princeton University s semiannual series of Christian Gauss Seminars in Criticism founded in 1949 by R.P. Blackmur , and Phi Beta Kappa s annual Christian Gauss Award est. 1950 for a book of literary criticism are named in his honor. Gauss influenced and corresponded frequently with F. Scott Fitzgerald and Edmund Wilson . References Cite book url http etcweb1.princeton.edu CampusWWW Companion gauss christian.html chapter Christian Gauss title A Princeton Companion year 1978 publisher Princeton University Press author Alexander Leitch External links Wikisource author http www.pbk.org scholarships books.htm Gauss Award from Phi Beta Kappa http etcweb1.princeton.edu CampusWWW Companion gauss seminars.html Gauss Seminars from A Princeton Companion Persondata Metadata see Wikipedia Persondata . NAME Gauss, Christian ALTERNATIVE NAMES SHORT DESCRIPTION United States literary critic and professor of literature DATE OF BIRTH 1878 PLACE OF BIRTH Ann Arbor, Michigan DATE OF DEATH 1951 PLACE OF DEATH New York, New York DEFAULTSORT Gauss, Christian Category 1878 births Category 1951 deaths Category American literary critics Category Princeton University faculty ... more details
about the mountain in Victoria Land the mountain in Kaiser Wilhelm II Land Gaussberg Mount Gauss Coord 76 19 S 162 2 E source GNIS display inline,title is the northernmost peak of the Kirkwood Range in Victoria Land , Antarctica. It was discovered by the British National Antarctic Expedition, 1901 04 , which named this feature after Professor Carl Friedrich Gauss , a German mathematician and astronomer. ref name gnis References Reflist refs ref name gnis cite gnis type antarid id 5527 name Gauss, Mount accessdate 2012 04 18 ref usgs gazetteer id 5527 name Gauss, Mount DEFAULTSORT Gauss, Mount Category Mountains of Victoria Land Category Scott Coast ScottCoast geo stub ... more details
The gauss , abbreviated as G, is the cgs units of measurement unit of measurement of a magnetic field ... after the German mathematician and physicist Carl Friedrich Gauss Gau . One gauss is defined as one ... and convention This unit is named after Carl Friedrich Gauss. As with all units whose names are derived ... is spelled out, it should always be written in lowercase gauss , unless it begins a sentence. ref ... cgs , the gauss is the unit of magnetic field B and the equivalent of esu cm 2, while the oersted ... gauss, and one ampere per meter is equal to 4 10 sup 3 sup oersted. ref name Hayt Hayt ... sup 8 sup gauss the magnetic field of the human brain 0.31 0.58 gauss the Earth s magnetic field at its surface 25 gauss the Earth s magnetic field in its Inner core core ref cite web title Medical Daily ... of magnetic field in earths core.htm accessdate 2010 12 17 ref 50 gauss a typical refrigerator magnet 100 gauss a small iron magnet 2000 gauss a small neodymium magnet neodymium iron boron NIB magnet 600 70,000 gauss a medical magnetic resonance imaging magnetic resonance imaging machine 10 sup 12 sup 10 sup 13 sup gauss the surface of a neutron star ref cite web title How strong are magnets ... magflux.htm accessdate 2007 12 14 ref 4 10 sup 13 sup gauss the quantum electrodynamic threshold 10 sup 15 sup gauss the magnetic field of some newly created magnetar s ref name sciam article cite web ... at Austin accessdate 2007 05 23 ref 10 sup 17 sup gauss the upper limit to neutron star magnetism ... Centimetre gram second system of units Gaussian units Carl Friedrich Gauss Magnetic field References ... ast Gauss bg ca Gauss unitat cs Gauss jednotka da Gauss enhed de Gau Einheit et Gauss es Gauss unidad eo Ga so mezurunuo eu Gauss unitatea fa fr Gauss unit ko it Gauss ... hu Gauss m rt kegys g nl Gauss ja no Gauss enhet pl Gaus pt Gauss unidade ru sl Gavs sv Gauss th tr Gauss birim uk zh ... more details
About differential geometry inline date July 2011 Image Gauss map.svg thumb 450px The Gauss map provides ... geometry , the Gauss map named after Carl Friedrich Gauss Carl F. Gauss maps a surface ... sup 3 sup , the Gauss map is a continuous map N X S sup 2 sup such that N p is a unit vector orthogonal to X at p , namely the normal vector to X at p . The Gauss map can be defined globally if and only if the surface is orientable , in which case its degree is half the Euler characteristic . The Gauss ... Jacobian determinant of the Gauss map is equal to Gaussian curvature , and the differential calculus differential of the Gauss map is called the shape operator . Gauss first wrote a draft on the topic in 1825 and published in 1827. There is also a Gauss map for a Link knot theory link , which computes linking number . Generalizations The Gauss map can be defined for hypersurface s in R ... oriented k submanifold of R sup n sup the Gauss map can be also be defined, and its target ... G 1,n cong S n 1 math , hence this is consistent with the definition above. Finally, the notion of Gauss ... manifold M of dimension n . In that case, the Gauss map then goes from X to the set of tangent k planes in the tangent bundle TM . The target space for the Gauss map N is a Grassmann bundle built .... Total curvature The area of the image of the Gauss map is called the total curvature and is equivalent ... by Gauss. The Gauss Bonnet theorem links total curvature of a surface to its topology topological ... of the Gauss map The Gauss map reflects many properties of the surface when the surface has zero Gaussian curvature, that is along a parabolic line the Gauss map will have a Catastrophe theory Fold ... . References Gauss, K. F., Disquisitiones generales circa superficies curvas 1827 Gauss, K. F., General ..., T., Gaffney T., McCrory C., Cusps of the Gauss Map , 1982 Research Notes in Mathematics 55, Pitman ... GaussMap title Gauss Map Category Differential geometry of surfaces Category Differential geometry ... more details
maps by placing the letter on the side of the crater mid point that is closest to Gauss. class wikitable width 25 style background eeeeee Gauss width 25 style background eeeeee Latitude width 25 style ... 18 km References Lunar crater references Category Impact craters on the Moon da Gauss m nekrater de Gauss Mondkrater fa it Gauss cratere ... more details
Image Gau turm.JPG thumb Gauss Tower The Gauss Tower is a reinforced concrete observation tower on the summit of the High Hagens in Dransfeld , Germany . The tower can be reached directly by car. A restaurant with a panoramic view is located inside the tower. The tower is named for Carl Friedrich Gauss , who made the large triangle from the Hohen Hagen break into Inselsberg a basis of his surveying survey of Hanover . From 1909 to 1963, there had already been a Gaussturm nearby. It broke when a quarry was expanded too far in the 1950s. Data Construction period 11 months Completion September 1964 Viewing platform 528 m over NN Tower height 51 m Foundation 6 m deep, with a diameter of 13 m. Diameter of tower shaft 5 m 1st platform 18 m at a value of 14,5 m Top platform 13 m Elevator capacity Maximum 8 persons Travel time 55 seconds Emergency stairway 225 steps, leading from the viewing platform to the entrance and or the cellar See also List of towers External links http www.skyscraperpage.com cities ?buildingID 44656 Skyscraper Page entry on Gauss Tower Structurae id s0019138 title Gauss Tower coord 51 28 26 N 9 45 57 E region DE NI type mountain display title Category Towers in Germany de Gau turm fr Gau turm it Torre Gauss he pl Wie a Gaussa tr Gauss Kulesi ... more details
Location map Greenland lat dir N lat deg 73 lat min 30 lon dir W lon deg 23 lon min 10 width 300 position left caption Location within Greenland label Gauss Peninsula Gauss Peninsula is a peninsula in eastern Greenland . It is located on the coast of Greenland Sea in the Northeast Greenland National Park , between Muskusoksefjord and Kejser Franz Joseph Fjord . History The second German North Polar Expedition 1869 70 originally gave the name Cap Gauss to a point on the south side of this peninsula, but Alfred Gabriel Nathorst A.G. Nathorst s 1899 expedition was unable to determine the position because of the rounding of the coast and applied the name Gauss Half to the peninsula as a whole. It is named for the German mathematician Carl Friedrich Gauss . greenland geo stub coord 73 30 N 23 10 W type landmark region GL scale 1000000 display title Category Peninsulas of Greenland ... more details
Infobox Football biography playername Harry Gauss fullname Harry Paul Gauss dateofbirth Birth date 1952 9 29 cityofbirth Stuttgart countryofbirth Germany dateofdeath Death date and age 2009 10 31 1952 04 05 df y cityofdeath London, Ontario countryofdeath Canada currentclub position Manager football Manager years1 clubs1 caps1 goals1 manageryears1 1973 2007 manageryears2 1973 1997 managerclubs1 London City soccer club London City Chairman managerclubs2 London City soccer club London City Technical Director nationalyears1 nationalteam1 nationalcaps1 nationalgoals1 Harry Paul Gauss 5 April 1952, Stuttgart .... Early life The Gauss family, with father Markus and mother Magdalene migrated with him and brother Reinhart from Stuttgart to Canada in 1958, ref http nukesoccer.com csl loses harry gauss Harry Gauss loses three year battle with cancer ref Gauss was raised in Ontario following a short stay in Montreal ... Harry Gauss Loses 3 Year Battle With Cancer ref Coaching career He was the founder of London City .... ref http www.lfpress.com sports soccer 2009 09 23 11068446 sun.html Gauss family passing ball ref ... Harry Gauss pondering soccer future ref Personal life Gauss was married to his wife Kathleen for over ... archive.php?news id 207836 HARRY GAUSS DIES.................. a cornerstone of CSL foundation loses three year battle with cancer ref Death On 31 October 2009 Gauss lost a three year battle against ... 2006. ref http www.lfpress.com sports othersports 2009 11 02 11601021 sun.html Gauss a giant in soccer ... Paul Gauss Award for the person in the Canadian Soccer League which, ref http 22066.vws.magma.ca reports08 08csl001.htm Harry Gauss honoured ref in the season just past demonstrated exemplary support ...&auth SUN MEDIA Harry Gauss dead at 57 St. Thomas Times Journal Ontario, CA ref References reflist 2 Persondata Metadata see Wikipedia Persondata . NAME Gauss, Harry ALTERNATIVE NAMES SHORT DESCRIPTION ... London, Ontario , Canada DEFAULTSORT Gauss, Harry Category 1951 births Category 2009 deaths ... more details
In mathematics , a Gauss sum or Gaussian sum is a particular kind of finite sum of roots of unity , typically math G chi G chi, psi sum chi r cdot psi r math where the sum is over elements r of some finite commutative ring R , &psi r is a group homomorphism of the additive group R sup sup into the unit ..., extended to non unit r where it takes the value 0. Gauss sums are the analogues for finite fields ... where overline is the complex conjugate of . The case originally considered by C. F. Gauss was the quadratic Gauss sum , for R the field of residues modulo a prime number p , and &chi the Legendre symbol . In this case Gauss proved that G &chi p sup 1 2 sup or ip sup 1 2 sup according as p is congruent to 1 or 3 modulo 4. An alternate form for this Gauss sum is math sum e frac 2 pi i r 2 p math Quadratic Gauss sums are closely connected with the theory of theta function s. The general theory of Gauss sums was developed in the early nineteenth century, with the use of Jacobi sum s and their prime decomposition in cyclotomic field s. Gauss sums over a residue ring of integers mod N are linear combinations of closely related sums called Gaussian period s. The absolute value of Gauss sums ... of the exact value of general Gauss sums, following the result of Gauss on the quadratic case, is a long standing issue. For some cases see Kummer sum . Properties of Gauss sums of Dirichlet characters The Gauss sum of a Dirichlet character modulo N is math G chi sum a 1 N chi a e 2 pi ia N . math ... of and sub 0 sub is the primitive Dirichlet character modulo N sub 0 sub that induces , then the Gauss ... is squarefree and relatively prime to N sub 0 sub . Other relations between G and Gauss sums of other ... B. C. Berndt, R. J. Evans, K. S. Williams title Gauss and Jacobi Sums publisher Wiley year 1998 isbn 0 471 12807 4 DEFAULTSORT Gauss Sum Category Cyclotomic fields ca Sumatori de Gauss de Gau sche Summe es Suma de Gauss fr Somme de Gauss it Somma di Gauss hu Gauss sszeg nl Gauss som zh ... more details
In mathematics , Gauss s constant , denoted by G , is defined as the Multiplicative inverse reciprocal of the arithmetic geometric mean of 1 number 1 and the square root of 2 math G frac 1 mathrm agm 1, sqrt 2 0.8346268 dots. math The mathematical constant constant is named after Carl Friedrich Gauss , who on May 30, 1799 discovered that math G frac 2 pi int 0 1 frac dx sqrt 1 x 4 math so that math G frac 1 2 pi beta tfrac 1 4 , tfrac 1 2 math where &beta denotes the beta function . Gauss constant should not be confused with the Gaussian gravitational constant . Relations to other constants Gauss s constant may be used to express the Gamma function at particular values of the Gamma function argument 1 4 math Gamma tfrac 1 4 sqrt 2G sqrt 2 pi 3 math and since and 1 4 are algebraically independent with 1 4 irrational, Gauss s constant is transcendental number transcendental . Lemniscate constants Gauss s constant may be used in the definition of the lemniscate constants, the first of which is math L 1 pi G math and the second constant math L 2 , , , , frac 1 2G math which arise in finding the arc length of a lemniscate of Bernoulli lemniscate . Other formulas A formula for G in terms of theta function Jacobi theta function s is given by math G vartheta 01 2 e pi math as well as the rapidly converging series math G sqrt 4 32 e frac pi 3 left sum n infty infty 1 n e 2n pi 3n 1 right 2. math The constant is also given by the infinite product math G prod m 1 infty tanh 2 left frac pi m 2 right . math It appears in the evaluation of the integrals math frac 1 G int 0 pi 2 sqrt sin x dx int 0 pi 2 sqrt cos x dx math math G int 0 infty frac dx sqrt cosh pi x math Gauss s constant ... also Lemniscatic elliptic function References mathworld urlname GausssConstant title Gauss s Constant ... numbers bs Gaussova konstanta de Lemniskatische Konstante es Constante de Gauss fr Constante de Gauss it Costante di Gauss he sv Gauss konstant tr Gauss sabiti ... more details
The Gauss lens consists of two lens optics lenses in its most basic form, a positive Lens optics Types of simple lenses meniscus lens on the object side and a negative meniscus lens on the image side. The Optical power power of the positive element predominates, but the negative element corrects for chromatic aberration . See also Double Gauss lens Category Lenses optics stub ... more details
Mohammed Gauss or Mohamed Ghouse was a Sri Lanka n film music composer. His compositions for filmi in the 1950s are credited by music critics as having been influential in developing a Sri Lankan style of film composition distinct from that of India n films. ref http sri lanka.saarctourism.org sri lanka music.html Sri Lanka Music , Sri Lanka Tourism. Accessed September 25, 2007. ref ref Lalith Ganhewa, http books.google.com books?id QzX8THIgRjUC&pg PA231&lpg PA231&dq 22mohammed gauss 22&source web&ots fcSDG7CdyU&sig s4MNUxX2WMBQGnkp2OJVE2mPlE4 Sri Lanka , The Rough Guide to World Music . Rough Guides, 2000, p. 231. ref References reflist Persondata Metadata see Wikipedia Persondata . NAME Gauss, Mohammed ALTERNATIVE NAMES SHORT DESCRIPTION DATE OF BIRTH PLACE OF BIRTH DATE OF DEATH PLACE OF DEATH DEFAULTSORT Gauss, Mohammed Category Sri Lankan musicians Category Sri Lankan Muslims Category Possibly living people SriLanka bio stub ... more details
Gauss Glacier coord 77 58 S 163 44 E source GNIS is a steep glacier on the north side of Datum Peak , descending west from the southwestern extremity of Hobbs Ridge into Blue Glacier Antarctica Blue Glacier , in Victoria Land , Antarctica. It was named by the New Zealand Geographic Board in 1993 after the German mathematician and astronomer Carl Friedrich Gauss . ref name gnis References Reflist refs ref name gnis cite gnis type antarid id 5530 name Gauss Glacier accessdate 2012 04 18 ref usgs gazetteer id 5530 Category Glaciers of Victoria Land Category Scott Coast ScottCoast geo stub ... more details
dablink This article is about Gauss s law concerning the electric field. For analogous laws concerning different fields, see Gauss s law for magnetism or Gauss s law for gravity . For Gauss s theorem, a mathematical ... Electrostatics In physics , Gauss s law , also known as Gauss s flux theorem , is a law relating ... Friedrich Gauss in 1835, but was not published until 1867. ref cite book author Bellone, Enrico title ... Maxwell s equations which form the basis of classical electrodynamics , the other three being Gauss ... s correction . Gauss s law can be used to derive Coulomb s law , ref cite book last1 Halliday first1 ... year 1970 pages 452 53 ref and vice versa. Qualitative description of the law In words, Gauss s law ... Physics, 4th edition year 1996 pages 687 ref Gauss s law has a close mathematical similarity with a number of laws in other areas of physics, such as Gauss s law for magnetism and Gauss s law for gravity . In fact, any inverse square law can be formulated in a way similar to Gauss s law For example, Gauss s law itself is essentially equivalent to the inverse square Coulomb s law , and Gauss s law for gravity is essentially equivalent to the inverse square Newton s law of gravity . Gauss s law .... Gauss s law is something of an electrical analogue of Amp re s law , which deals with magnetism. The law ... theorem , also called Gauss s theorem. Each of these forms in turn can also be expressed two ways In terms ... year 2008 isbn 9 780471 927129 ref Equation involving E field Gauss s law can be stated using either ... with E the form with D is below, as are other forms with E . Integral form Gauss s law may be expressed ... is defined as an integral of the electric field, this expression of Gauss s law is called the integral form . Applying the integral form Main Gaussian surface hatnote See also Capacitance Gauss s law Capacitance Gauss s law If the electric field is known everywhere, Gauss s law makes it quite easy ... of symmetries which lend themselves to Gauss s law include cylindrical symmetry, planar symmetry ... more details
Infobox Software name GAUSS developer Aptech Systems released 1984 latest release version 12 latest release date 2011 operating system Microsoft Windows Windows , Linux , Unix , Macintosh Mac genre programming language license proprietary software proprietary website http www.aptech.com www.aptech.com GAUSS is a matrix programming language for mathematics and statistics , developed and marketed by Aptech Systems . Its primary purpose is the solution of numerical problems in statistics , econometrics , time series , optimization and 2D and 3D Visualization computer graphics visualization . It was first published in 1984 for MS DOS and is currently also available for Linux , SPARC Sun SPARC , Mac OS X and Microsoft Windows Windows . Examples of Functions Included in Run Time Library GAUSS has several Application Modules as well as functions in its Run Time Library i.e., functions that come with GAUSS without extra cost Qprog Quadratic programming SqpSolvemt Sequential quadratic programming QNewton Quasi Newton unconstrained optimization EQsolve Nonlinear equations solver GAUSS Applications A range of toolboxes are available for GAUSS at additional cost. class wikitable style text align center border 5 http www.aptech.com ga ad.html Algorithmic Derivatives A program for generating GAUSS procedures for computing algorithmic derivatives. http www.aptech.com ga cmlmt.html Constrained Maximum Likelihood MT Solves the general maximum likelihood problem subject to general constraints on the parameters. http www.aptech.com ga co.html Constrained Optimization Solves the nonlinear programming problem subject to general constraints on the parameters. http www.aptech.com ga cf.html CurveFit ... gaussians.html GAUSS Mailing List http www.deskeng.com articles aaabjg.htm Review of version ... optimization software de GAUSS Programm fr GAUSS id GAUSS pl GAUSS pt GAUSS software ru GAUSS ... more details
The Gauss Expedition 1901 1903 , was the first German expedition to Antarctica, led by Arctic veteran and geology professor Erich von Drygalski in the ship Gauss ship Gauss , which was named after the mathematician and physicist Carl Friedrich Gauss . Voyage Drygalski led the first German South Pole South Polar expedition with the ship Gauss to explore the unknown area of Antarctica lying south of the Kerguelen Islands . The expedition started from Kiel in the summer of 1901 August 11 . Expedition A small party of the expedition was also stationed on the Kerguelen Islands , while the main party proceeded further south. Erich von Drygalski paid a brief call to Heard Island and provided the first comprehensive scientific information on the island s geology , flora and fauna . Despite being trapped by ice for nearly 14 months until February 1903, the expedition discovered new territory in Antarctica, the Kaiser Wilhelm II Land with the volcano Gaussberg . Drygalski was the first to use a gas balloon in Antarctica. Return The expedition arrived back in Kiel in November 1903. Subsequently, Erich von Drygalski wrote the narrative of the expedition and edited the voluminous scientific data. Between 1905 and 1931, he published the 20 Volume disambiguation volumes and 2 atlas es documenting the expedition. See also List of Antarctic expeditions Heroic Age of Antarctic Exploration Further reading Erich von Drygalski Drygalski, E. 1991 . The German South Polar Expedition, 1901 3 . Erskine Press. ISBN 1 85297 031 6 D.T. Murphy, German exploration of the polar world. A history, 1870 1940 Nebraska 2002 . External links http www.south pole.com p0000085.htm South Pole.com http www.familie luyken.de 07Genealogie Bilder 10Gen 10044 veroeffentlichungen 10044 kerguelen berichtE.htm Report on the stay ... es Expedici n Gauss fr Exp dition Gauss it Spedizione Gauss no Gauss ekspedisjonen nds Gau Expeditschoon pt Expedi o Gauss ... more details
In probability theory , Gauss s inequality or the Gauss inequality gives an upper bound on the probability that a unimodal random variable lies more than any given distance from its mode statistics mode . Let X be a unimodal random variable with mode m , and let &tau sup 2 sup be the expected value of X &minus m sup 2 sup . &tau sup 2 sup can also be expressed as &mu &minus m sup 2 sup &sigma sup 2 sup , where &mu and &sigma are the mean and standard deviation of X . Then for any positive value of k , math Pr mid X m mid k leq begin cases left frac 2 tau 3k right 2 & text if k geq frac 2 tau sqrt 3 6pt 1 frac k tau sqrt 3 & text if 0 leq k leq frac 2 tau sqrt 3 . end cases math The theorem was first proved by Carl Friedrich Gauss in 1823. See also Vysochanski Petunin inequality , a similar result for the distance from the mean rather than the mode Chebyshev s inequality , concerns distance from the mean without requiring unimodality References cite journal last Gauss first C. F. authorlink Carl Friedrich Gauss date 1823 title Theoria Combinationis Observationum Erroribus Minimis Obnoxiae, Pars Prior journal Commentationes Societatis Regiae Scientiarum Gottingensis Recentiores volume 5 cite book title A Dictionary of Statistics publisher Oxford University Press last Upton first Graham coauthors Cook, Ian year 2008 chapter Gauss inequality url http www.answers.com topic gauss inequality Cite journal doi 10.2307 2684690 title Chebyshev inequalities for unimodal distributions year 1997 journal American Statistician volume 51 issue 1 pages 34 40 last1 Sellke first1 T.M. last2 Sellke first2 S.H. publisher American Statistical Association jstor 2684690 Cite journal doi 10.2307 2684253 title The Three Sigma Rule year 1994 author Pukelsheim, F. journal American Statistician volume 48 issue 2 pages 88 91 publisher American Statistical Association jstor 2684253 Category Probabilistic inequalities ro Inegalitatea lui Gauss ... more details
Gauss s diary was a record of the mathematical discoveries of C. F. Gauss from 1796 to 1814. It was rediscovered in 1897 and published by harvtxt Klein 1903 , and reprinted in volume X sub 1 sub of his collected works. Sample entries Most of the entries consist of a brief and sometimes cryptic statement of a result in Latin. Entry 1, dated 1796, March 30, states Principia quibus innititur sectio circuli, ac divisibilitus eiusdem geometrica in septemdecim partes etc. , which records Gauss s discovery of the construction of a heptadecagon by ruler and compass. Entry 10, dated 1796, July 10, states Eureka word num &Delta &Delta &Delta and records his discovery of a proof that any number is the sum of 3 triangular numbers, a special case of the Fermat polygonal number theorem . Entry 43, dated 1796, October 21, states Vicimus GEGAN . Its meaning is unclear. Entry 146, dated 1814 July 9, is the last entry, and records an observation relating biquadratic residues and the Lemniscatic elliptic function lemniscate functions , later proved by Gauss and by harvtxt Chowla 1940 . More precisely, Gauss observed that if a bi is a Gaussian prime and a 1 bi is divisible by 2 2 i , then the number of solutions to the congruence 1 xx yy xxyy mod a bi , including x , y i and x i , y , is a 1 sup 2 sup b sup 2 sup . References Citation authorlink1 S. Chowla last1 Chowla first1 S. title The last entry in Gauss s diary jstor 88178 mr 0029394 year 1940 journal Proceedings of the National Academy of Sciences Proceedings of the National Academy of Sciences of the United States of America issn 0027 8424 volume 35 pages 244 246 Citation last1 Gauss first1 Carl Friedrich editor1 last Biermann editor1 first Kurt R. title Mathematisches Tagebuch, 1796 1814 publisher Verlag Harri Deutsch location Frankfurt am Main edition Fifth series Ostwalds Klassiker der Exakten ... 2005 volume 256 Citation last1 Gray first1 J. J. title A commentary on Gauss s mathematical diary ... more details
Wiktionary Gaussian Gauss map may refer to The Gauss map , a mapping of the Euclidean space onto a sphere The Gauss iterated map , an iterated nonlinear map The function math h x 1 x lfloor1 x rfloor, math see Gauss Kuzmin Wirsing operator See also List of topics named after Carl Friedrich Gauss . mathdab ... more details
The Carl Friedrich Gauss Prize for Applications of Mathematics is a mathematics award, granted jointly by the International Mathematical Union and the German Mathematical Society for outstanding mathematical contributions that have found significant applications outside of mathematics . The award receives its name from the Germans German mathematician Carl Friedrich Gauss . With its premiere in 2006, it is to be awarded every fourth year, at the International Congress of Mathematicians . The previous laureate was presented with a medal and a cash purse of Euro EUR 10,000 funded by the International Congress of Mathematicians 1998 budget surplus. The official announcement of the prize took place on 30 April 2002, the 225th anniversary of the birth of Gauss. The prize was developed specifically to give recognition to mathematician s while mathematicians have an impact on the world outside of their field, their studies are often not recognized. The prize aims to honour those who have made contributions and impacts in the fields of business , technology , or even day to day life. Laureates 2006 Kiyoshi It 2010 Yves Meyer ref http www.icm2010.com livevideo.asp Live video of ICM 2010 ref See also Fields Medal Chern Medal References references cite web title Statutes of the IMU Carl Friedrich Gauss Prize for Applications of Mathematics url http www.mathunion.org general prizes gauss details accessdate 2009 02 05 cite press release title New Prize in Science promotes Mathematics as a Key ... o General Prizes Gaussgauss pressrelease.html accessdate 2009 02 05 DEFAULTSORT Gauss Prize Category ... Preis es Premio Carl Friedrich Gauss fr Prix Carl Friedrich Gauss pour les math matiques appliqu es it Premio Carl Friedrich Gauss he ja pl Nagroda Carla Friedricha Gaussa pt Pr mio Carl Friedrich Gauss ru fi Carl Friedrich Gaussin palkinto vi Gi i Carl Friedrich Gauss zh ... more details
The Gauss Centre for Supercomputing is a research institute and a supercomputer center in Germany. ref High Performance Computing in Science and Engineering 2010 by Wolfgang E. Nagel ISBN 3642157475 page vii http books.google.com books?id Ptb10V7FxfEC&pg PR7&dq Gauss Centre for Supercomputing&hl en&ei rQMgTrrSMIz4sgaz0q2DAg&sa X&oi book result&ct result&resnum 5&ved 0CD4Q6AEwBA v onepage&q Gauss 20Centre 20for 20Supercomputing&f false ref See also TOP500 High Performance Computing Center, Stuttgart Supercomputing in Europe References Reflist External links http www.gauss centre.eu index.php?index 2 Official website DEFAULTSORT Gauss Centre For Supercomputing Category Supercomputer sites Category Supercomputers super compu stub de Gauss Centre for Supercomputing ... more details
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