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Umbilic Bracelet
The umbilic torus or umbilic bracelet is a single-edged 3-dimensional shape. The lone edge goes three times around the ring before returning to the starting point. The shape also has a single external face. A cross section of the surface forms a deltoid. The umbilic torus occurs in the mathematical subject of singularity theory, in particular in the classification of umbilical points which are determined by real cubic forms a x^3 + 3 b x^2 y + 3 c x y^2 + d y^3. The equivalence classes of such cubics form a three-dimensional real projective space and the subset of parabolic forms define a surface – the umbilic torus. Christopher Zeeman named this set the umbilic bracelet in 1976. The torus is defined by the following set of parametric equations. :x = \sin u \left(7+\cos\left( - 2v\right) + 2\cos\left( + v\right)\right) :y = \cos u \left(7 + \cos\left( - 2v\right) + 2\cos\left( + v\right)\right) :z = \sin\left( - 2v\right) + 2\sin \left( + v\right) :::\text-\pi \le u \le \pi ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Petrie Plaza
Petrie Plaza is a pedestrian mall located in Civic, Australian Capital Territory (Canberra City), Australia, being the largest centre within the Australian Capital Territory. Petrie Plaza was created from pedestrianising part of Petrie Street, which is a road running between London Circuit and Bunda Street. History Petrie Street and Petrie Plaza are named after the Petrie family from Queensland. The street has been closely associated with business and banking in Canberra due to the location of many corporations in this area. In the 1960s, those that lived on acreage in the outskirts of Canberra and travelled into the city for work were called 'Petrie Street farmers' The street was partially closed to vehicular traffic in 1965 to create Petrie Plaza, although not all residents were proponents of the change. Parts of Petrie Street were closed in 2015 to construct the shareway. The Liam Neeson William John Neeson (born 7 June 1952) is an actor from Northern Ireland. He ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Ian R
Ian or Iain is a name of Scottish Gaelic origin, derived from the Hebrew given name (Yohanan, ') and corresponding to the English name John. The spelling Ian is an Anglicization of the Scottish Gaelic forename ''Iain''. It is a popular name in Scotland, where it originated, as well as other English-speaking countries. The name has fallen out of the top 100 male baby names in the United Kingdom, having peaked in popularity as one of the top 10 names throughout the 1960s. In 1900, Ian was the 180th most popular male baby name in England and Wales. , the name has been in the top 100 in the United States every year since 1982, peaking at 65 in 2003. Other Gaelic forms of "John" include "Seonaidh" ("Johnny" from Lowland Scots), "Seon" (from English), "Seathan", and "Seán" and " Eoin" (from Irish). Its Welsh counterpart is Ioan, its Cornish equivalent is Yowan and Breton equivalent is Yann. Notable people named Ian As a first name (alphabetical by family name) *Ian Agol (bor ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Torus
In geometry, a torus (plural tori, colloquially donut or doughnut) is a surface of revolution generated by revolving a circle in three-dimensional space about an axis that is coplanar with the circle. If the axis of revolution does not touch the circle, the surface has a ring shape and is called a torus of revolution. If the axis of revolution is tangent to the circle, the surface is a horn torus. If the axis of revolution passes twice through the circle, the surface is a spindle torus. If the axis of revolution passes through the center of the circle, the surface is a degenerate torus, a double-covered sphere. If the revolved curve is not a circle, the surface is called a ''toroid'', as in a square toroid. Real-world objects that approximate a torus of revolution include swim rings, inner tubes and ringette rings. Eyeglass lenses that combine spherical and cylindrical correction are toric lenses. A torus should not be confused with a '' solid torus'', which is formed by r ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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 ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Simons Center For Geometry And Physics
The Simons Center for Geometry and Physics is a center for theoretical physics and mathematics at Stony Brook University in New York. The focus of the center is mathematical physics and the interface of geometry and physics. It was founded in 2007 by a gift from the James and Marilyn Simons Foundation. The center's current director is physicist Luis Álvarez-Gaumé. History Background James H. Simons was the chair of the mathematics department at Stony Brook from 1968 to 1976. After deciding to leave academia, he then went on to make billions with his investment firm Renaissance Technologies. On February 27, 2008 he announced a donation totaling $60 million (including a $25 million gift two years prior) to the mathematics and physics departments. This was the largest single gift ever given to any of the SUNY schools. The gift came during Stony Brook's 50th anniversary and shortly after Gov. Spitzer announced his commitment to make Stony Brook a “flagship” of the SUNY ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Stony Brook University
Stony Brook University (SBU), officially the State University of New York at Stony Brook, is a public research university in Stony Brook, New York. Along with the University at Buffalo, it is one of the State University of New York system's two flagship institutions. Its campus consists of 213 buildings on over of land in Suffolk County and it is the largest public university (by area) in the state of New York. Opened in 1957 in Oyster Bay as the State University College on Long Island, the institution moved to Stony Brook in 1962. In 2001, Stony Brook was elected to the Association of American Universities, a selective group of major research universities in North America. It is also a member of the larger Universities Research Association. It is classified among "R1: Doctoral Universities – Very high research activity". Stony Brook University, in partnership with Battelle, manages Brookhaven National Laboratory, a national laboratory of the United States Depart ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
James Harris Simons
James Harris Simons (; born 25 April 1938) is an American mathematician, billionaire hedge fund manager, and philanthropist. He is the founder of Renaissance Technologies, a quantitative hedge fund based in East Setauket, New York. He and his fund are known to be Quantitative analyst, quantitative investors, using mathematical models and algorithms to make investment gains from Market anomaly, market inefficiencies. Due to the long-term aggregate Rate of return, investment returns of Renaissance and its Renaissance Technologies#Monemetrics, Medallion Fund, Simons is described as the "greatest investor on Wall Street," and more specifically "the most successful hedge fund manager of all time." As reported by ''Bloomberg Billionaires Index'', Simons' net worth is estimated to be $25.2 billion, making him the 66th-richest person in the world. Simons is known for his studies on pattern recognition. He developed the Chern–Simons form (with Shiing-Shen Chern), and contributed to th ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Helaman Ferguson
Helaman Rolfe Pratt Ferguson (born 1940 in Salt Lake City, Utah) is an American sculptor and a digital artist, specifically an algorist. He is also well known for his development of the PSLQ algorithm, an integer relation detection algorithm. Early life and education Ferguson's mother died when he was about three and his father went off to serve in the Second World War. He was adopted by an Irish immigrant and raised in New York. He learned to work with his hands in an old-world style with earthen materials from his adoptive father who was a carpenter and stonemason by trade. An art-inclined math teacher in high school helped him develop his dual interests in math and art. Ferguson is a graduate of Hamilton College, a liberal arts school in New York. In 1971, he received a Ph.D. in mathematics from the University of Washington. Work In 1977, Ferguson and another mathematician, Rodney Forcade, developed an algorithm for integer relation detection. It was the first viable gener ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Umbilic Torus SBU
In the differential geometry of surfaces in three dimensions, umbilics or umbilical points are points on a surface that are locally spherical. At such points the normal curvatures in all directions are equal, hence, both principal curvatures are equal, and every tangent vector is a ''principal direction''. The name "umbilic" comes from the Latin ''umbilicus'' (navel). Umbilic points generally occur as isolated points in the elliptical region of the surface; that is, where the Gaussian curvature is positive. The sphere is the only surface with non-zero curvature where every point is umbilic. A flat umbilic is an umbilic with zero Gaussian curvature. The monkey saddle is an example of a surface with a flat umbilic and on the plane every point is a flat umbilic. A torus can have no umbilics, but every closed surface of nonzero Euler characteristic, embedded smoothly into Euclidean space, has at least one umbilic. An unproven conjecture of Constantin Carathéodory states that every ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
John Robinson (sculptor)
John Robinson (4 May 1935 – 6 April 2007) was a British sculptor and co-founder of the Bradshaw Foundation. Accounts of his work may be seen at the Robinson estate website, the website of the Centre for the Popularisation of Mathematics and the June and July 2007, issues of Hyperseeing. Among other distinctions, he was the Official Sculptor for the British Olympic Committee in 1988, and a University of Wales Honorary Fellow, 1992. Sculpture Figurative sculptures Robinson first made a name for himself with representational pieces. His figurative bronzes ranged in scope and scale from life-size commissioned sculptures of children to athletic sculptures, and included a commissioned bust of Queen Elizabeth and another of the Queen Mother. His representational sports figure ''Acrobats'' (1980, 5 metres) was first mounted at the Hyatt Regency hotel in Maui, Hawaii. There are another 7 examples around the world, one of which is located outside the Australian Institute of Spor ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Umbilic Torus
The umbilic torus or umbilic bracelet is a single-edged 3-dimensional shape. The lone edge goes three times around the ring before returning to the starting point. The shape also has a single external face. A cross section of the surface forms a deltoid. The umbilic torus occurs in the mathematical subject of singularity theory, in particular in the classification of umbilical points which are determined by real cubic forms a x^3 + 3 b x^2 y + 3 c x y^2 + d y^3. The equivalence classes of such cubics form a three-dimensional real projective space and the subset of parabolic forms define a surface – the umbilic torus. Christopher Zeeman named this set the umbilic bracelet in 1976. The torus is defined by the following set of parametric equations. :x = \sin u \left(7+\cos\left( - 2v\right) + 2\cos\left( + v\right)\right) :y = \cos u \left(7 + \cos\left( - 2v\right) + 2\cos\left( + v\right)\right) :z = \sin\left( - 2v\right) + 2\sin \left( + v\right) :::\text-\pi \le u \le \pi ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Parametric Equations
Parametric may refer to: Mathematics * Parametric equation, a representation of a curve through equations, as functions of a variable *Parametric statistics, a branch of statistics that assumes data has come from a type of probability distribution * Parametric derivative, a type of derivative in calculus *Parametric model, a family of distributions that can be described using a finite number of parameters *Parametric oscillator, a harmonic oscillator whose parameters oscillate in time *Parametric surface, a particular type of surface in the Euclidean space R3 *Parametric family, a family of objects whose definitions depend on a set of parameters Science * Parametric process, in optical physics, any process in which an interaction between light and matter does not change the state of the material *Spontaneous parametric down-conversion, in quantum optics, a source of entangled photon pairs and of single photons *Optical parametric amplifier, a type of laser light source that e ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
