A 2Dgeometricmodel is a geometricmodel of an object as two dimensional figure, usually on the Euclidean plane Euclidean or Cartesian plane . Even though all material objects are three dimensional, a 2Dgeometricmodel is often adequate for certain flat objects, such as paper cut outs and machine parts made of sheet metal . 2Dgeometric models are also convenient for describing certain types of artificial image s, such as technical diagram s, logo s, the glyph s of a Typeface font , etc. They are an essential tool of 2D computer graphics and often used as components of Three dimensional space 3D geometric models, e.g. to describe the decal s to be applied to a automobile car model. 2Dgeometric modeling techniques simple geometry geometric shape s boundary representation Boolean operation s See also computational geometry digital image Category Euclidean plane geometry Elementary geometry stub ... more details
Wikify date March 2012 Fisher s geometricmodel is an evolutionary model of the effect sizes and effect on fitness of spontaneous mutations . ref name fisher cite book last Fisher first Ronald title The genetical theory of natural selection year 1930 publisher Oxford University Press location Oxford, UK ref Ronald Fisher proposed this model to explain the distribution of effects of mutations that could contribute to adaptive evolution. ref name brief history cite journal last Orr first Allen title The genetic theory of adaptation a brief history journal Nature Reviews Genetics year 2005 volume 6 pages 119 127 doi 10.1038 nrg1523 url http www.nature.com nrg journal v6 n2 full nrg1523.html pmid 15716908 issue 2 ref Conceptualization Fisher s model addresses the problem of how random mutations and natural selection can lead to complex organisms and adaptations, and is the framework of most research on the genetic and evolutionary consequences of pleiotropy ref G nter P. Wagner1 & Jianzhi Zhang, Nature Reviews Genetics 12, 204 213 March 2011 doi 10.1038 nrg2949 ref . The model is based on a metaphor. Imagine a microscope with many knobs to adjust the lenses so that we can obtain a sharp image. Now ask yourself what is the chance of obtaining an optimally functioning microscope by randomly turning the knobs on the microscope. The chances are not bad as long as the number of knobs is small, say one or two, but intuition suggests that the chances will decrease dramatically if the number of adjustable parameters knobs is larger than two or three. To back up this intuition, Fisher introduced a geometric metaphor, which eventually became known as the FGM ref G nter P. Wagner1 & Jianzhi Zhang, Nature Reviews Genetics 12, 204 213 March 2011 doi 10.1038 nrg2949 ref . ref Fisher, R. A. The Genetical Theory of Natural Selection Clarendon, Oxford, 1930 . ref . In his model, Fisher argues that the functioning of the microscope is analogous to the fitness of an organism. The performance ... more details
2D or II D may refer to Wiktionary 2d2D, two dimensional space 2Dgeometricmodel2D computer graphics 2D Gorillaz , a member of the virtual band Gorillaz Oflag II D Stalag II D Transcription factor II D Barcode s and 2D barcodes a.k.a. 2D codes Two Dickinson Street Co op , a student dining cooperative at Princeton University 2D animation, or traditional animation See also D2 disambiguation Letter NumberCombDisambig da 2D flertydig de 2 D et 2D it 2D ja 2D pt 2D ru 2D ... more details
. Geometric models can be built for objects of any dimension in any space geometric space . Both 2Dgeometricmodel2D and 3D modeling 3D geometric models are extensively used in computer graphics . 2Dgeometricmodel2Dmodel s are important in computer typography and technical drawing . 3D ... . Geometric models are usually distinguished from procedural modeling procedural and Object Oriented ... contrasted with digital image s and volumetric model s and with implicit model implicit mathematical ... for instance, geometric shapes can be represented by obect oriented programming objects a digital image can be interpreted as a collection of color ed Square geometry square s and geometric shapes ... often requires a combination of geometric and procedural techniques. Geometric problems originating ... geometric design, and discrete differential geometry. ref H. Pottmann, S. Brell Cokcan and J. Wallner ... wps find journaldescription.cws home 505604 description description Computer Aided Geometric Design Category Geometric algorithms Category Computational science Category Computer aided design de Geometrische ... more details
1, 2D is seen with very geometric, and almost purple hair at times, unlike in Phase 2, where his ... alias 2D, Stu Pot, 2 dent, Faceache By Murdoc , Tusschunk & D By Russel , Toochi By Noodle birth date ... known by his stage name 2 D , also simply spelled as 2D , is a member of the British virtual band ... the hiatus, 2D went to work on his father s funfair in Eastbourne. He used to collect money for a ride ... good friends. By the time they met, 2D adopted a teddy boy style and used to stroll the city ... after he realised he was responsible for the Gorillaz success. After the El Ma ana conspiracy, 2D ... off somewhere. He s probably gonna try and become an actor or a model or whatever... According to an official mail out from 31 October 2007, Murdoc says that 2D is away on a vacation at a Jamaican beach. On 13 November, however, the D Sides text in the G Shop stated that 2D was currently completing a law degree. Murdoc has revealed that he has kidnapped 2D and is holding him against his will on Plastic Beach, enlisting 2D s vocal talents for use on the third Gorillaz album, Plastic Beach . It was revealed through various media on the trailer in which this kidnapping was revealed that 2D ... website http gorillaz.com it was recently stated by 2D, in the Plastic Beach adventure game, ref http gorillaz.com plasticbeach intro ref that Murdoc kindly had 2D gassed and shipped to Plastic Beach ... and forcing them to be on the album. Throughout a recent interview, Gorillaz iTunes Session , 2D ... subject for 2D. quote I only really joined the band to make music, and now, I m being held captive ... to me implied to viewers that 2D misses Noodle, and could be classed as a misleading pairing between the two. During the Escape to Plastic beach World Tour, 2D wrote his Gorillaz album The Fall Gorillaz ... of the band at 212 Wobble Street, London. Role as musician 2D has a twofold role in Gorillaz ... Gorillaz Noodle . In most cases, 2D s singing voice is much lower than his warbly speaking ... more details
Geometric modeling is a branch of applied mathematics and computational geometry that studies methods and algorithms for the mathematical description of shapes. The shapes studied in geometric modeling are mostly two or three dimension al, although many of its tools and principles can be applied to sets of any finite dimension. Today most geometric modeling is done with computers and for computer based applications. 2Dgeometricmodel Two dimensional model s are important in computer typography and technical drawing . 3D geometricmodel Three dimensional model s are central to computer aided design and computer aided manufacturing manufacturing CAD CAM , and widely used in many applied technical fields such as civil engineering civil and mechanical engineering , architecture , geologic modeling geology and medical image processing . ref Farin, G. A History of Curves and Surfaces in CAGD, http books.google.com books?id 0SV5G8fgxLoC&printsec frontcover&dq Computer Aided GEOMETRIC DESIGN&source gbs summary s&cad 0 Handbook of Computer Aided Geometric Design ref Geometric models are usually distinguished from procedural model procedural and object oriented model s, which define the shape implicitly by an opaque algorithm that generates its appearance. They are also contrasted with digital image s and volumetric model s which represent the shape as a subset of a fine regular partition of space and with fractal models that give an infinitely recursive definition of the shape. However ... of color ed square geometry square s and geometric shapes such as circle s are defined by implicit mathematical equations. Also, a fractal model yields a parametric or implicit model when its recursive ... Geometric Modeling and Industrial Geometry http demonstrations.wolfram.com topic.html?topic 3D Graphics&limit .... I. Wu & M. Abdulla, Landmobile Radiowave Multipaths DOA Distribution Assessing Geometric Models ... Geometric algorithms Category Computational science Category Computer aided design de Geometrische ... more details
Mac OS X Graphics Model logo Image Quartz2D.png Quartz 2D 96px Quartz 2D is the primary two dimensional graphics rendering API for Mac OS X , part of the Core Graphics framework. Overview Quartz 2D is available to all Mac OS X application environments, and provides resolution independent and device independent ... 2D Programming Guide url https developer.apple.com library mac documentation GraphicsImaging Conceptual ... 2D Quartz 2D expands the drawing functions associated with QuickDraw . The most notable difference is that Quartz 2D eliminates output device and resolution specificity. The drawing model utilized by Quartz 2D is based on PDF specification 1.4. ref cite web title Apple Developer Graphics & Imaging ... ref However, drawing output is not sent directly to the output device. Quartz 2D uses graphics contexts ... are the mechanism by which Quartz 2D employs resolution and device independence. For example ... Quartz 2D is similar to NeXT s Display PostScript in its use of contexts. It first appeared as the 2D ... 2.html accessdate 2007 01 25 ref Presently, the name Quartz 2D more precisely defines the 2D rendering ... framework or just its 2D renderer. Presently, Quartz technologies can describe all of the rendering ... OS X 10.4, QuickDraw rendering outperformed that of Quartz 2D. Mac OS X 10.4 rectified this, substantially increasing the standard rendering performance of Quartz 2D. Mac OS X 10.4 also introduced Quartz 2D Extreme optional graphics processor GPU acceleration for Quartz 2D, although it is not an officially supported feature. Quartz 2D Extreme is disabled by default in Mac OS X 10.4 because it may ... ref In Mac OS X 10.5, Quartz 2D Extreme was renamed QuartzGL. References reflist See also Quartz graphics ... Introduction to Quartz 2D Programming Guide &ndash developer documentation from Apple http www.macdevcenter.com pub a mac 2004 09 28 quartz.html Introduction to Quartz 2D for QuickDraw ... Category Mac OS X APIs fr Quartz 2D it Quartz 2D ja Quartz 2D ru Quartz 2D zh Quartz 2D ... more details
Orphan date September 2008 Infobox Software name TableCurve 2D logo screenshot caption developer Systat Software Inc. latest release version 5.0.1 latest release date 2007 operating system Microsoft Windows Windows genre 2D linear and non linear curve fitting software license Proprietary software proprietary website http www.systat.com products SigmaPlot SYSTAT TableCurve 2D is a linear and non linear Curve fitting software package for engineers and scientists that automates the curve fitting process and in a single processing step instantly fits and ranks 3,600 built in frequently encountered equations enabling users to easily find the ideal model to their 2D data within seconds. Once the user has selected the best fit equation, they can output high quality function and test programming codes or generate comprehensive reports and publication quality graphs. TableCurve 2D was originally developed by Ron Brown of AISN Software. The first version of TableCurve 2D was released in 1989. The first version was a DOS product. The first Microsoft Windows Windows based product was introduced in the last quarter of 1992. It was distributed by http findarticles.com p articles mi m0EIN is 1996 Oct 8 ai 18742814 Jandel Scientific Software in the late 1980 s but by January 2004, Systat Software acquired the exclusive worldwide rights from SPSS , Inc. to distribute SigmaPlot and other Sigma Series products. Systat Software is now based in San Jose, California. TableCurve 2D saves time by taking the endless trial and error out of curve fitting and that can help solve complex science and engineering problems faster. External links http www.systat.com Systat Webpage http www.systat.com products TableCurve2D resources ?sec 1014 TableCurve 2D Support Webpage Category Plotting software Category Regression and curve fitting software science software stub ... more details
In computing , Java 2D is an API for drawing two dimensional Computer graphics graphics using the Java programming language Java programming language . Every Java 2D drawing operation can ultimately be treated as filling a shape using a paint and compositing the result onto the Computer display screen . Organization The Java 2D API and its documentation are available for download as a part of JDK 6. Java 2D API classes are organised into the following packages in JDK 6 Javadoc SE package java.awt java awt The main package for the Java Abstract Window Toolkit . Javadoc SE package java.awt.geom java awt geom The Java standard library of two dimensional geometric shapes such as lines, ellipses, and quadrilaterals ... for writing to paper. Basic Concepts These objects are a necessary part of every Java 2D drawing operation. Shapes A shape in Java 2D is a boundary which defines an inside and an outside. Pixel ... their duties in terms of the simpler objects described above. Transform Every Java 2D operation ... and then filling that shape. Stroke In addition to the fill operation, Java 2D provides a draw operation ... 2D implements the outline rules described above, but a custom written stroke could produce any shape it wished. Optimizations Conceptually, drawing a straight black line in Java 2D can be thought ... inefficient. Java 2D therefore optimizes common drawing operations so that many of these steps can .... Java 2D performs the minimum amount of work necessary to make it seem as if it is performing all of these steps ..., or even an object which accepts Java 2D graphics commands and translates them into vector graphics ... javase 6 docs technotes guides 2d Java 2D Landing page at Oracle Corporation Oracle . http java.sun.com docs books tutorial 2d index.html Java 2D Tutorial at Oracle Corporation Oracle . See also Java 3D Java Class Library Java applet Category Java platform 2D Category Java APIs Category Graphics libraries ca Java 2D de Java 2D es Java 2D fr Java2D nl Java2D ja Java 2D pl Java2D tr Java 2D ... more details
File beetle.svg thumb 340px Vector graphics consists of geometrical primitives The term geometric primitive in computer graphics and CAD systems is used in various senses, with the common meaning of the simplest i.e. atomic or irreducible geometric objects that the system can handle draw, store . Sometimes the subroutine s that draw the corresponding objects are called geometric primitives as well. The most primitive primitives are point and straight line segment, which were all that early vector graphics systems had. In constructive solid geometry , primitives are simple geometry geometric shapes such as a Cube geometry cube , cylinder geometry cylinder , sphere , cone geometry cone , Pyramid geometry pyramid , torus . Modern 2D computer graphics systems may operate with primitives which are lines segments of straight lines, circles and more complicated curves , as well as shapes boxes, arbitrary polygons, circles . A common set of two dimensional primitives includes lines, points, and polygon s, although some people prefer to consider triangles primitives, because every polygon can be constructed from triangles. All other graphic elements are built up from these primitives. In three dimensions, triangles or polygons positioned in three dimensional space can be used as primitives to model more complex 3D forms. In some cases, curves such as B zier curve s, circle s, etc. may be considered primitives in other cases, curves are complex forms created from many straight, primitive shapes. Commonly used geometric primitives include Point geometry point s line mathematics lines and line segment s Plane mathematics plane s circle s and ellipse s triangle s and other polygon s spline mathematics spline curves Note that in 3D applications basic geometric shapes and forms are considered to be primitives rather than the above list. Such shapes and forms include sphere s cube s or box ...&seqNum 5 Peachpit.com Info On 3D Primitives Category Computer graphics Category Geometric algorithms ... more details
Distinguish Geohashing In computer science , geometric hashing is originally a method for efficiently finding two dimensional objects represented by discrete points that have undergone an affine transformation , though extensions exist to some other object representations and transformations. In an off line step, the objects are encoded by treating each pairs of points as a geometric Basis linear algebra basis . The remaining points can be represented in an Invariant mathematics invariant fashion ... if a sufficiently large number of the data points index a consistent object basis. Geometric hashing was originally suggested in computer vision for object recognition in 2D and 3D, ref name ... model based object recognition and segmentation in cluttered scenes ., IEEE Transactions on Pattern ... to different problems such as structural alignment of protein s. Geometric Hashing in Computer Vision Geometric Hashing is a method used for object recognition. Let s say that we want to check if a model image can be seen in an input image. This can be accomplished with geometric hashing. The method ... store not only the pose information but also the index of object model in the base. Example For simplicity ... in the image coordinate system, and axes for the coordinate system for the basis P2,P4 Find the model s feature points. Assume that 5 feature points are found in the model image with the coordinates .... Introduce a basis to describe the locations of the feature points. For 2D space and affine transform ... chosen in Step 2. Transfer the image coordinate system to the model one for the supposed object and try ..., the input Image may contain the object in mirror transform. Therefore, geometric hashing should ... or objects . Actually, using 3 points for the basis is another approach for geometric hashing. Geometric ... courses cs468 01 winter papers wr ghao 97.pdf Geometric Hashing An Overview. IEEE Computational Science and Engineering, 4 4 , 10 21. references DEFAULTSORT Geometric Hashing Category Geometric data ... more details
Convention name 2D Or Not 2D Animation Festival image caption status Active genre animation venue Pacific ... Animaticus Foundation filing attendance website http www.2dornot2d.org The 2D Or Not 2D Animation ... dedicated to the preservation, education and evolution of traditional 2D animation. The foundation acts to allow survival of 2D animation through education and high level production, and through allowing ... master animators. Festivals Past Festivals 2009 On the 5th of December 2009, the fourth annual 2D Or Not 2D was held in the Eames Imax Theater at the Pacific Science Center in Seattle , Washington. ref name 2dornot2d1 2008 On the 14th 15 November 2008, the third annual 2D Or Not 2D was held in the Boeing ... On the 2nd 3 November 2007, the second annual 2D Or Not 2D was held in the Everett Theater in Everett ... 2006, the first annual 2D Or Not 2D was held in the Everett Theater in Everett, Washington. ref name ... name psc cite web url http www.pacsci.org animationfest title 2D Or Not 2D Animation Festival publisher ...?article id 5985 title 2D Or Not 2D, That is the Festival last Ball first Ryan date 5 October ... cite web url http www.awn.com news awards 2d or not 2d festival announces winners title 2D or Not 2D ... 2d Or Not 2d Animation Festival accessdate 1 March 2010 ref ref name 2dornot2d2 cite web url http www.plexipixel.com ... welcome date 19 November 2008 publisher 2d Or Not 2d Animation Festival accessdate 1 March 2010 ... animaticus foundation launches 2d or not 2d festival title Tony White s New Book Debuts, Animaticus Foundation Launches 2D or Not 2D Festival last Liu first Ed date 20 August 2006 publisher Toon Zone accessdate 25 February 2010 ref references External links http www.2dornot2d.org 2D Or Not 2D Official website http www.pacsci.org animationfest 2D Or Not 2D Animation Festival Pacific Science Center ... http www.cartoonbrew.com dev old brew festival report 2d or not 2d Festival Report 2006 Cartoon Brew http madcartoonist.blogspot.com 2006 11 2d or not 2d is that question.html 2d or not 2d Is that a question ... more details
Unreferenced date December 2006 orphan date November 2009 Fengyun 2D is a Chinese made weather satellite. It is fifth satellite of the Fengyun 2 series. The satellite was launched on a Long March 3A rocket from Xichang Satellite Launch Center on December 8, 2006 at 08 53 China Standard Time CST . It entered an orbit of 202x36,525 km at 09 17 CST. Plans call for it to be positioned at 80.595 E above equator. DEFAULTSORT Fengyun 2d Category Artificial satellites orbiting Earth Category Chinese space program China spacecraft stub pt Fengyun 2D ... more details
Disputed date August 2011 Expert subject Japan article category date August 2011 2D Love is a concept heavily attached to the Otaku and Moe slang Moe subcultures of anime and manga culture. The concept involves a person partaking in a relationship with a fictional character. To the person in question, this relationship is just as important and serious as any other relationship. The relationship can be platonic or romantic, and may or may not be sexual. While the term waifu is not exclusive to 2D love, a person experiencing 2D love may refer to their object of affection as their waifu. In the japanese otaku language, the term Nihongo ore no yome , lit. my bride , has a similar meaning. The Relationship Category Anime and manga terminology ... more details
Infobox spacecraft Name Astra 2D Organisation SES S.A. SES Launch 19 December 2000 Mass 1420 kg launch br 824 kg operational Major Contractors Boeing Satellite Systems Hughes Bus HS 376 Carrier Rocket Ariane 5 br s n V138 Mission Duration 12 years ref http www.ses.com 4233325 news 1999 4426264 ref Orbit regime Geostationary orbit Geostationary Transponder Capacity 16 Ku band Twta output power ... Astra 2D is one of the Astra satellites Astra communications satellite s owned and operated by SES S.A. ... 2A and Astra 2B at 28.2 E, where it has remained for its active life. As of February 2012, Astra 2D ... astra2d.html Astra 2D at 28.2 E on lyngsat.com Accessed March 2, 2012 ref In Service While active, most of Astra 2D s transponders were used to provide television channels available on the Sky Digital ... and so could still access Freesat from outside the UK. Some channels on 2D are encrypted with Videoguard ... of its domestic television channels including BBC HD and the regional variations from the Astra 2D ... the Astra 2D satellite. All ITV channels have been free to air from 1 November 2005, although some regions reverted to Free To View encryption in 2008 when their lease on one 2D transponder could not be renewed ... time on Astra 2D, using borrowed space on a BBC transponders, allowing the channel to join ... years, Astra 2D was expected to leave regular operational service towards the end of 2012 or the beginning ... 2011, was initially positioned at Astra 28.2 E 28.2 E to temporarily replace Astra 2D until ... testing in October and November. Channels on Astra 2D started to transfer to Astra 1N in December ... over the next two months. On February 24, 2012 the last remaining channels on Astra 2D the BBC ... Astra 2D Ku band UK Ireland Beam http www.onastra.com how to receive astra index.php SES guide to receiving ... Astra 2d Category Communications satellites in geostationary orbit Category 2000 in Luxembourg Category 2000 in spaceflight de Astra 2D sv Astra 2D uk Astra 2D ... more details
The Movimiento 2D2D Movement , M2D or simply 2D is a Venezuela n opposition movement led by El Nacional Caracas El Nacional editor and proprietor Miguel Henrique Otero . 2D, founded by Otero in late 2007 in the run up to the Venezuelan constitutional referendum, 2007 , ref es El Nuevo Herald , 10 January 2008, http www.elnuevoherald.com 2008 10 01 294942 denuncian gobierno de facto en.html Denuncian gobierno de facto en Venezuela ref includes a number of prominent Venezuelans besides Otero, including former foreign minister Sim n Alberto Consalvi , who served under both Jaime Lusinchi and Carlos Andr s P rez . ref Movimiento 2D, http www.movimiento2d.org nosotros.php Nosotros ref The name of the movement refers to 2 December, ref name YVKE es YVKE, 22 September 2008, http www.radiomundial.com.ve yvke noticia.php?12125 Movimiento 2D contin a conspirando contra Constituci n venezolana ref being the date of the Venezuelan presidential election, 2012 . ref The presidential election is held on the first Sunday in December of the year the election falls due. ref In February 2010 M2D announced it would support the opposition electoral coalition Mesa de la Unidad Democr tica in the Venezuelan parliamentary election, 2010 September 2010 parliamentary election . ref es El Nacional Caracas El Nacional , 26 February 2010, http el nacional.com www site p contenido.php?q nodo 124882 Nacional Movimiento 2D apoyar C3 A1 a Mesa de la Unidad para comicios del 26 S Movimiento 2D apoyar a Mesa de la Unidad para comicios del 26 S ref In a 2D press conference opposing the Venezuelan constitutional ...?id 77564 Patrick J. O Donoghue s news and views from Venezuela February 10, 2009 ref and 2D s Pablo ... 2009, http www.vheadline.com readnews.asp?id 77471 Movimiento 2D s Pablo Medina Venezuela is about ... offices was approved. In June 2010 2D criticised the government takeover of Banco Federal . ref El ... links http www.movimiento2d.org Movimiento 2D Venezuela stub Category Politics of Venezuela ... more details
refimprove date November 2008 Infobox company name 2D Boy logo File 2D Boy Logo.svg 180px br br File Kyle Gabler.jpg 90px File Ron Carmel.jpg 90px br Kyle Gabler and Ron Carmel type Privately held company Private foundation Start date 2006 founder Kyle Gabler br Ron Carmel location city San Francisco , California location country United States U.S. industry Video game industry Interactive entertainment products World of Goo homepage http 2dboy.com 2DBoy.com 2D Boy is an United States American Independent video game development independent video game development company founded by Kyle Gabler and Ron Carmel, former Electronic Arts employees who left their jobs to form an independent development and production company. They state that their swanky San Francisco office is whichever free wi fi coffee shop they wander into on a given day. ref http 2dboy.com about.php About 2D Boy ref Their first release was World of Goo , a physics based puzzle game built around the idea of creating large structures using balls of goo. The game was released for PC and Wii at the same time. The game won the Independent Games Festival 2008 Innovation Award as well as the 2008 Technical Excellence Award, and was nominated for the festival s Seumas McNally grand prize. ref http www.igf.com 02finalists.html Independent Games Festival Finalists and Winners ref World of Goo gained a great deal of media attention after celebrating the one year anniversary of its release with a pay whatever you think it is worth scheme, where customers could name their own price for a limited time rather than paying the normal set price of US 20. ref http 2dboy.com 2009 10 13 happy birthday world of goo Happy Birthday, World of Goo Blog Post on Official 2D Boy website ref On July 6, 2010, 2D Boy, Capybara Games , and thatgamecompany ... Gabler DEFAULTSORT 2d Boy Category Companies based in San Francisco, California Category Privately ... company stub es 2D Boy fr 2D Boy pt 2D Boy ... more details
A 2D key is a special type of password input method proposed by Kok Wah Lee since year 2005, that is input in a special grid, instead of a single line. This enables the user to create memorizable or mnemonic but long passwords, such as ASCII art , allowing extreme security. Category Password authentication computer security stub ... more details
notability Companies date August 2011 Infobox Company company name Geometric Limited company logo Image Geometric logo.svg 200px Geometric Logo br Company Type br Public traded as BSE 532312 br NSE GEOMETRIC foundation 1984 location city Mumbai location country India key people br Manu Parpia M D & CEO br industry Engineering Services, PLM Solutions, Technology revenue profit United States dollar 167.51 million small FY 12 small num employees over 4500 2012 homepage http www.geometricglobal.com www.geometricglobal.com Geometric Ltd BSE 532312 , NSE GEOMETRIC is a software services and consulting ... Services and Offshore Product Development OPD solutions and technologies. Geometric was set up as a Division of Godrej Group Godrej and Boyce ref cite web url http www.dnaindia.com money report geometric to set up new centres in brazil china 1085086 title Geometric to set up new centres in Brazil ... Geometric Software sets up 100 arm in US publisher Expressindia.com date 1998 04 11 accessdate 2010 ... Stock Exchange of India . Its portfolio includes Engineering Services along with PLM. Geometric is assessed at Software Engineering Institute SEI Capability Maturity Model CMMI 1.1 Level 5 for its ... s operations are also ISO 27001 2005 certified. The company has two main business subsidiaries. Geometric ... sectors. Geometric Technologies, Inc., formerly Teksoft, Inc., headquartered in Phoenix, Arizona Phoenix AZ, develops and supplies productivity solutions for manufacturing operations. Geometric has a joint ... participation of 58 and 42 respectively. ref cite web url http www.thefreelibrary.com Geometric Software Solutions and Dassault Systemes Create Consulting... a088543440 title Geometric Software ... Products Geometric Technologies, Inc. CAMWorks GeomCaliper DFMPro 3DPaintBrush eDrawings GeomDiff ... Geometric has headquarter in Mumbai , India Asia Pacific India Bangalore , Chennai , Hyderabad ... External links http www.geometricglobal.com The Official Site of Geometric Ltd Category Software companies ... more details
Geometric integration can refer to Homological integration &ndash a method for extending the notion of integral to manifold s. Geometric integrator , a numerical method that preserves of geometric properties of the exact flow of a differential equation . disambig Category Mathematical disambiguation ... more details
dablink For another use of the term median in geometry, see Median geometry . The geometric median of a discrete ... nearest center. ref The geometric median is an important estimator of location parameter location ... x 1, x 2, dots, x m , math with each math x i in mathbb R n math , the geometric median is defined as Geometric Median math underset y in mathbb R n operatorname arg ,min sum i 1 m left x i y right 2 ... s is minimum. Properties For the 1 dimensional case, the geometric median coincides with the median . This is because the univariate median also minimizes the sum of distances from the points. The geometric median is unique whenever the points are not Line geometry collinear . The geometric median ... either by transforming the geometric median, or by applying the same transformation to the sample data and finding the geometric median of the transformed data. This property follows from the fact that the geometric median is defined only from pairwise distances, and doesn t depend on the system ... of the choice of coordinates. The geometric median has a breakdown point of 0.5. ref Lopuha and Rousseeuw .... Special cases For 3 points, if any angle of the triangle is more than 120 then the geometric median is the point making that angle. If all the angles are less than 120 , the geometric median is the point ... of the four points is inside the triangle formed by the other three points, then the geometric median is that point. Otherwise, the points form a convex quadrilateral and the geometric median is the crossing point of the diagonals of the quadrilateral. The geometric median of four coplanar points is the same ... concept, computing the geometric median poses a challenge. The centroid or center of mass , defined similarly to the geometric median as minimizing the sum of the squares of the distances to each ... but no such formula is known for the geometric median, and it has been shown that no explicit ... under this model of computation . ref Bajaj 1986 , Bajaj 1988 . Earlier, Cockayne and Melzak 1969 ... more details
A geometric network is an object commonly used in geographic information systems to model a series of interconnected features. A geometric network is similar to a graph in mathematics and computer science , and can be described and analyzed using theories and concepts similar to graph theory . Geometric networks are often used to model road networks and public utility networks such as electric, gas, and water utilities . ref cite book last Meehan first Bill title Empowering Electric and Gas Utilities with GIS year 2007 publisher ESRI ref Composition of a Geometric Network A geometric network is composed of edges that are connected. Connectivity rules for the network specify which edges are connected and at what points they are connected, commonly referred to as junction or intersection points. These edges can have weights or flow direction assigned to them, which dictate certain properties of these edges that affect analysis results ref cite web last Childs first Colin title ArcGIS Network Analyst Networks and Network Models url http www.esri.com news podcasts transcripts arcgisnetworkanalyst networksandnetworkmodels.pdf publisher ESRI Inc. accessdate 22 April 2011 ref . In the case of certain types of networks, source points points where flow originates and sink points points where flow terminates may also exist. In the case of utility networks, a source point may correlate with an electric substation or a water pumping station, and a sink point may correlate with a service connection at a residential household. ref cite book last Meehan first Bill title Empowering Electric and Gas Utilities with GIS year 2007 publisher ESRI ref ref cite book last Evans first James Robert title Algorithms for Networks and Graphs, Volume 1 year 1992 publisher Marcel Dekker, Inc. ref Functions Networks define the interconnectedness of features. Through analyzing this connectivity, paths from one point to another on the network can be traced and calculated. Through optimization algorithms ... more details
other uses A geometric algebra is a Clifford algebra of a vector space over the field of real numbers with a quadratic form . The spacetime algebra and the Conformal geometric algebra CGA conformal geometric algebra are specific examples of such geometric algebras. The term is also used as a collective ... of such algebras. The term geometric algebra was used by William Kingdon Clifford Clifford in the 19th ... algebra also became popular for these particular algebras, but the term geometric algebra was repopularized by David Hestenes Hestenes sfn Hestenes 1966 in the 1960s. Geometric algebra GA finds application in physics , in graphics and in robotics . A key feature of GA is its emphasis on geometric interpretations of certain elements of the algebra as geometric entities. Via this interpretation, geometric operations are realized as algebraic operations in the algebra. Proponents argue sfn Lasenby ... geometry . The associated geometric calculus is an alternative generalization of vector calculus ... easy to understand properties of the geometric algebra in a concrete way. Given a finite dimensional real quadratic space nowrap 1 V R sup n sup with quadratic form nowrap 1 Q V R , the geometric algebra for this quadratic space is the Clifford algebra C V , Q . The algebra product is called the geometric product . It is standard to denote the geometric product by juxtaposition. For quadratic ... Geometric algebra. Standard bases and grading The geometric product creates a symmetric bilinear ... 1 as the empty product, forms a basis for the geometric algebra. As an illustration, the following is a basis for the geometric algebra math mathcal G 3,0 math math 1,e 1,e 2,e 3,e 1e 2,e 1e 3,e 2e 3,e 1e 2e 3 , math A basis formed this way is called a standard basis for the geometric algebra ... basis. Each standard basis consists of 2 sup n sup elements. The geometric product between elements ... , AB C A BC ABC math associative property associativity of the geometric product math , A B C AC ... more details
Geometric tomography is a mathematical field that focuses on problems of reconstructing homogeneous often convex objects from tomographic data this might be X rays, projections, sections, brightness functions, or covariograms . More precisely, according to R.J. Gardner who introduced the term , Geometric tomography deals with the retrieval of information about a geometric object from data concerning its projections shadows on planes or cross sections by planes. ref name ref1 Gardner, R.J., Geometric Tomography, Cambridge University Press, Cambridge, UK, 2nd ed., 2006 ref Theory A key theorem in this area states that any convex body in math E n math can be determined by parallel, coplanar X rays in a set of four directions whose slopes have a transcendental cross ratio . See also Tomography Discrete tomography References reflist External links http cgm.cs.mcgill.ca godfried research tomography.html Geometric tomography applet I http faculty.wwu.edu gardner GeometricTomography.html Geometric tomography applet II Category Tomography Category Projective geometry ... more details
Geometric analysis is a mathematics mathematical discipline at the interface of differential geometry and differential equations . It includes both the use of geometrical methods in the study of partial differential equation s when it is also known as geometric PDE , and the application of the theory of partial differential equations to geometry. It incorporates problems involving curves and surfaces, or domains with curved boundaries, but also the study of Riemannian manifold s in arbitrary dimension. The calculus of variations is sometimes regarded as part of geometric analysis, because differential equations arising from variational principle s have a strong geometric content. Geometric analysis also includes global analysis , which concerns the study of differential equations on manifolds, and the relationship between differential equations and topology . References cite book title Riemannian geometry and Geometric Analysis first J rgen last Jost edition 4th edition year 2005 publisher Springer isbn 978 3540259077 cite book title Groups and Geometric Analysis Integral Geometry, Invariant Differential Operators and Spherical Functions first Sigurdur last Helgason authorlink Sigurdur Helgason mathematician edition 2nd edition year 2000 publisher American Mathematical Society isbn 978 0821826737 cite book title Geometric Analysis on Symmetric Spaces first Sigurdur last Helgason edition 2nd edition year 2008 publisher American Mathematical Society isbn 978 0821845301 Category Mathematical analysis Category Differential geometry mathanalysis stub ... more details
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