infobox software name ATLASTransformationLanguage developer OBEO, INRIA br Free software community ... context of ATL.png thumb 280px right ATL Operational Context ATL ATLASTransformationLanguage is a model transformationlanguage and toolkit developed and maintained by OBEO and AtlanMod. It was initiated by the AtlanMod team previously called ATLAS Group . In the field of Model Driven Engineering ... nantes.fr lina atl bibliography SAC06a .pdf ATL Atlas model transformationlanguage ... Category Systems engineering Category Unified Modeling Language de AtlasTransformationLanguage fr ATLASTransformationLanguage ja ATLASTransformationLanguage ... Modeling Project EMP . Overview ATL is a Model TransformationLanguage model transformationlanguage ... Group standard for performing model transformation s. It can be used to do syntactic or semantic translation . ATL is built on top of a model transformation Virtual Machine . ATL is the ATLAS INRIA & LINA research group answer to the OMG MOF QVT RFP. It is a model transformationlanguage specified ... Modeling Project EMP that implements the ATL transformationlanguage which is inspired by the Meta Object Facility MOF Query View Transformationlanguage QVT . ref http www.eclipse.org gmt atl ... gmt atl atlTransformations . MOF QVT is a Domain Specific Language for Model Transformation ... Domain specific modelling DSM Model TransformationLanguage MTL QVT MOF Queries Views Transformations ... style of transformation writing is declarative, which means simple mappings can be expressed ... handled can still be specified. An ATL transformation program is composed of rules that define ... models. Architecture A model transformation oriented virtual machine has been defined and implemented .... As a matter of fact, ATL becomes executable simply because a specific transformation from its metamodel ... the new language features execution semantics in terms of simple instructions basic actions on models ... more details
data migration data transformation metadata model transformation refinement contrast valign top Languages and typical transforms ATLASTransformationLanguage ATL AWK tabular data transforms ...Data transformation A transformationlanguage is a computer language designed to transform some input text in a certain formal language into a modified output text that meets some specific goal. Program transformation systems such as Stratego XT , TXL programming language TXL , DMS Software Reengineering Toolkit DMS , and ASF SDF Meta Environment ASF SDF all have transformation languages as a major component. The transformation languages for these systems are driven by declarative descriptions of the structure of the input text typically a grammar , allowing them to be applied to wide variety of formal languages and documents. Macro computer science Macro languages are a kind of transformation languages to transform a meta language into specific higher programming language like Java programming language Java , C , Fortran In the model driven engineering technical space, there are model transformationlanguage s MTLs , that take as input models conforming to a given metamodel and produce as output models conforming to a different metamodel. An example of such a language is the QVT Object Management Group OMG standard. There are also low level languages such as the Lx family ref http lx.mii.lu.lv ref implemented by the Bootstrapping compilers bootstrapping method . The L0 language may be considered as assembler for transformation languages. There is also a high level graphical language built on upon Lx called MOLA. ref http mola.mii.lu.lv ref There are a number of XML transformationlanguage s. These include XSLT , XQuery , Streaming Transformations for XML STX , FXT , XDuce , CDuce ... www.program transformation.org The Program transformation Wiki Computer language compu lang stub DEFAULTSORT TransformationLanguage Category Transformation languages Category Programming language classification ... more details
. Available transformation languages ATLASTransformationLanguage ATL a transformationlanguage developed by the INRIA Beanbag see http code.google.com p synclib an operation based language for establishing consistency over data incrementally GReAT a transformationlanguage available in the Generic ...A model transformationlanguage in systems engineering systems and software engineering is a language for model transformation . Overview The notion of model transformation is of central importance to information ... OMG QVT standard Mia TL a transformationlanguage developed by Mia Software MOF Model to Text Transformation ... MOLA see http mola.mii.lu.lv a graphical high level transformationlanguage built in upon Lx. MT a transformationlanguage developed at King s College, London UK based on Converge PL QVT the Object ... on using a standard programming language, e.g. Java, C Stratego XT a transformationlanguage based on rewriting with programmable strategies Tefkat a transformationlanguage and a model transformation ... also Data transformation Domain specific language DSL Filter software Model driven engineering MDE Model driven architecture MDA Template processor Transformationlanguage Web template XSLT a standard ... system itself may be viewed as a framework to use and to build transformation programs Filter software filters from basic transformation languages like grep , sed , awk , perl , etc. A software development process itself may also be considered as a chain of transformation from abstract requirements to executable systems. Some transformation languages exhibit the characteristic of homoiconicity , in which the language used for expressing a data model is also related to or identical to the transformationlanguage. The most noteworthy example is the relationship between XML and XSLT . This kind ... that provides transformation languages for model to model, model to text, update in place, and model merging transformations. Kermeta a general purpose modeling and programming language, also able ... more details
Data transformation Image XML To XML Transformation.png thumb right 300px An XML to XML transformation TODO ImageNode An XML transformationlanguage is a programming language designed specifically to transform ... from the input tree. FXT FXT is a functional XML transformation tool, implemented in ML programming language Standard ML . XDuce XDuce is a typed language with a lightweight syntax, compared to XSLT. It is written in ML. CDuce CDuce extends XDuce to a general purpose functional programming language , see http www.cduce.org CDuce homepage . XStream XStream is a simple functional transformationlanguage ... Template engine web DEFAULTSORT Xml TransformationLanguage Category XML based standards Category Transformation ... special cases of transformation XML to XML the output document is an XML document. XML to Data the output document is a byte stream. XML to XML As XML to XML transformation outputs an XML document, XML to XML transformation chains form XML pipeline s. XML to Data The XML to Data transformation ... document. Existing languages XSLT XSL Transformations XSLT is the best known XML transformationlanguage. The XSLT 1.0 W3C recommendation was published in 1999 together with XPath 1.0, and it has ... is a full functional language, despite having query in the name. It is a de facto standard used by Microsoft ... itself like XSLT is, so its syntax is much lighter. The language is based on XPath 2.0. XQuery programs ... is an XML Pipeline language. The XProc 1.0 W3C Recommendation was published in may 2010. STX Streaming ... to allow a one pass transformation process that never prevents streaming. Implementations are available ... stx.xml?s org XML STX . XML Script XML Script is an imperative scripting language inspired by Perl ... . Xtatic Xtatic applies methods from XDuce to C Sharp programming language C , see http www.cis.upenn.edu ... transformations in Haskell programming language Haskell . Its approach is very consistent and powerful ... language first implemented by Kristofer Rose. Its approach is to add actions to an XML Document Type ... more details
The World Atlas of Language Structures is a large database of structural phonological , grammatical , Lexical semiotics lexical properties of languages gathered from descriptive materials ref name wals.info http wals.info World Atlas of Language Structures Online ref . It was first published by Oxford University Press as a book with CD ROM in 2005, and was released as the second edition on the Internet in April 2008. It is maintained by the Max Planck Institute for Evolutionary Anthropology and by the Max Planck Digital Library . The editors are Martin Haspelmath , Matthew S. Dryer , David Gil and Bernard Comrie ref name wals.info . The atlas provides information on the location, linguistic affiliation and basic language typology typological features of a great number of the world s languages. It interacts with Google Maps . The information of the atlas is published under a Creative Commons license. References Reflist See also Intercontinental Dictionary Series External links http www.eva.mpg.de lingua research tool.php Download WALS Interactive Reference Tool Category Atlases Category Linguistics books Language stub de World Atlas of Language Structures eo Universala atlaso de lingvaj strukturoj ... more details
MOF Model to Text TransformationLanguage Mof2Text or MOFM2T is an Object Management Group OMG specification for a model transformationlanguage . Specifically, it can be used to express transformations which transform a model into text M2T , for example a platform specific model into source code or documentation . MOFM2T is one part of OMG s Model driven architecture MDA and reuses many concepts of Meta Object Facility MOF , OMG s metamodeling architecture. Whereas MOFM2T is used for expressing M2T transformations, OMG s QVT is used for expressing M2M transformations. See also Model driven engineering MDE Model driven architecture Model Driven Architecture MDA OMG s vision of MDE External links http www.omg.org Object Management Group OMG website http www.omg.org spec MOFM2T 1.0 Object Management Group, MOF Model to Text TransformationLanguage MOFM2T , 1.0 Specification Category Systems engineering prog lang stub de MOF Model to Text TransformationLanguage fr MOF Models to Text TransformationLanguage ... more details
wiktionarypar transformationTransformation may refer to TOCright Mathematics Transformation function Transformation combinatorics Integral transform Data transformation statistics Transformation matrix Natural science Phase transformation , a physical transition from one medium to another Chemical transformation Metamorphosis , the biological process of changing physical form after birth or hatching Malignant transformation , the process of cells becoming cancerous Transformation genetics , genetic alteration of a cell by DNA uptake Transformation optics , generalized optical devices Computing Data transformation Model transformation Program transformation XML transformationTransformation of text Fiction Transformation novel Transformation novel , by Carol Berg Shapeshifting , a type of transformation common in mythology and folklore Henshin , a type of transformation common in anime, manga and tokusatsu Transformation , an alternate title for The Marble Faun , a novel by Nathaniel Hawthorne Other uses Transformation law , a concept in copyright law Transformation patent law Transformation Tal Wilkenfeld album , and album by, bassist, Tal Wilkenfeld Transformation music Transformation , a song by Nona Hendryx Transformation warfare Transformation of culture Transformation design , a design process Transformation fetish Transformation playing card Transformation problem , a concept in economics Transformational grammar Spiritual transformation , a psychological and New Age concept Business Transformation , an idea in strategic management Business Network Transformation , a concept used in thinking about markets See also Transform disambiguation Transformation Story Archive Transformation recruitment disambig cs Transformace de Transformation es Transformaci n fr Transformation nl Transformatie pl Transformacja pt Transforma o ru sk Transform cia sv Transformation ... more details
refimprove date June 2008 IT Transformation is the wholesale changing of an organization s technology systems. It is a term that typically applies more to large, complex organisations than smaller entities. Significant business change typically takes place in parallel with technology change. Because of the growing popularity of SOA Service oriented architecture and Open Systems, most transformation projects today include some form of these technologies. Due to the ongoing obsolescence of systems deployed in the late sixties and seventies, this is an emerging field. Check IT Transformation with SOA ref http itransform.abstraction.com ref for a more detailed discussion in this emerging field. A lot of companies are involved using this business model. References reflist Category Business planning business stub ... more details
Infobox Television episode Title The Transformation Series Fringe TV series Fringe Image Deleted image removed File Fringe The Road Not Taken.jpg 250px Caption An episode of spontaneous combustion Season 1 Episode 13 Airdate February 3, 2009 Production 3T7662 Story Zack Whedon br J. R. Orci Director ... Ability The Transformation is the thirteenth List of Fringe episodes episode of the Fringe season ... after Hicks transformation restarts, depriving Olivia of the necessary information. Conrad makes ... The Transformation was written by Zack Whedon and J.R. Orci . ref name latimes ref name avclub ... 2010, The Transformation had an early screening at the November 2009 Paley Center for Media ... Pinkner replied that the huge porcupine man on the airplane from The Transformation was more shocking ... The Transformation aired, actor Joshua Jackson considered it his favorite episode. ref cite web ... 2011 02 18 ref Reception Ratings The Transformation was watched by 12.78 million viewers in the United ... 2009 02 fringe transfor.html title Fringe Transformation publisher Los Angeles Times first ... 950916p1.html title Fringe The Transformation Review publisher IGN first Ramsey last Isler date 2009 ... a transformation in the interpersonal dynamics of the show? If this dud of an episode serves a larger ... away . ref cite web url http open.salon.com blog josie kafka 2009 12 21 fringe the transformation 113 title Fringe The Transformation 1.13 publisher Open Salon .com first Josie last Kafka date 2009 12 ... t say that The Transformation broke any new ground. If anything, it recapitulated pretty much every ... cite web url http www.avclub.com articles the transformation,23392 title The Transformation publisher ... 2 External links Wikiquote Fringe The Transformation .5B1.13.5D The Transformation http www.fox.com fringe recaps season 1 episode 13 The Transformation at Fox Broadcasting Company Fox IMDb episode 1248541 Tv.com episode 1250199 Fringe Fringe episodes DEFAULTSORT Transformation, The Category Fringe ... more details
and physical World map map of the world from 2006 An atlas is a collection of map s it is typically ... atlases often feature geopolitical , social , religious and economic statistics . Atlas mythology The origin of the term atlas is a common source of misconception, perhaps because two different mythical figures named Atlas are associated with cartography map making . Atlas King King Atlas , a mythical ..., mathematician and astronomer who supposedly made the first celestial globe. It was this Atlas whom Gerardus Mercator was referring to when he first used the name Atlas , and he included a depiction of the King on the title page. However, the more widely known Atlas mythology Atlas is a figure ... or Asia mythology Asia , and brother of Prometheus . Atlas was punished by Zeus and made to bear the weight of the heavens the idea of Atlas carrying the Earth is not correct according to the original ... by Ladon mythology Ladon . Heracles went to Atlas and reasoned with him. Eventually, Atlas agreed to collect the apples, and Heracles was left to carry the weight. Atlas tried to leave Heracles there, but Heracles tricked him and Atlas was left to carry the heavens forever. In his epic Odyssey , Homer refers to this Atlas as one who knows the depths of the whole sea, and keeps the tall pillars who hold heaven and earth asunder . In works of art, this Atlas is represented as carrying the heavens or the Celestial Sphere , on his shoulders. The earliest such depiction is the Farnese Atlas , now ... publisher to associate the Titan Atlas with a group of maps was Lafreri, on the title page to Tavole ... the word atlas in the title of his work. Modern atlas With the coming of the global market, publishers ... names on the maps often use the designations or abbreviations of the language of the country in which ... given language, and it reaches its extremity concerning transliteration s from other languages. Particularly ... language Czech s which are hardly used in English speaking countries. Selected general atlases ... more details
transformationlanguage refinement contrast valign top Languages and typical transforms ATLASTransformationLanguage ATL AWK tabular data transforms Identity transform QVT TXL general XQuery ... for performing data transformation. Many transformationlanguage s require a grammar to be provided ... TXT data transform language Web template Template languages specialized for transform data into documents see also template processor TXL programming language TXL prototyping language based descriptions, used for source code or data transformation. XSLT the standard XML data transformationlanguage ... transformationlanguage . DOI http portal.acm.org citation.cfm?id 1149672 10.1016 j.scico.2006.04.002 ... Computer Science, 57 363 377. ref , Translation a transformation from a language X into another ... Rephrasing a rephrasing involves a transformation within the same language but merely stated a different ...Data transformation This article is about data transformation in computer science metadata . For statistical application, see data transformation statistics . In metadata and data warehouse , a data transformation converts data from a source data format into destination data. Data transformation can ... any transformation that must occur code generation that creates the actual transformation program ... one to many and many to one transformation rules. The code generation step takes the data element ... generation can also create transformation in easy to maintain computer languages such as Java programming language Java or XSLT . When the mapping is indirect via a mediating data model , the process ... suited for transformation, something as simple as regular expressions can be used to achieve useful transformation. A text editor like emacs or Textpad supports the use of regular expressions with arguments ... is that they will not fail the null transform test. That is, using your transformational language of choice, run a sample program through a transformation that doesn t perform any transformations. Many ... more details
site MDA and Model Transformation http www.model transformation.org site access DEFAULTSORT Model Transformation Category Systems engineering Category Unified Modeling Language de Modelltransformation ...Refimprove date April 2009 A model transformation in Model driven engineering takes as input a model conforming to a given Metamodeling metamodel and produces as output another model conforming to a given metamodel. Overview If the source and target metamodels are identical, the transformation is called endogeneous . If they are different the transformation is called exogeneous . If the level of abstraction does not change, the transformation is called horizontal . If the level of abstraction does change, the transformation is called vertical . These two distinctions are orthogonal . A model transformation may also have several source models and several target models. One of the characteristics of a model transformation is that it is also a model, i.e. it conforms to a given metamodel. This facilitates the definition of Higher Order Transformation s HOTs ref See Massimo Tisi et. al. On the Use of Higher Order Model Transformations. Lecture Notes in Computer Science, 2009, Volume 5562 2009, 18 33, DOI 10.1007 978 3 642 02674 4 3 ref , i.e. transformations taking other transformations as input and or transformations producing other transformations as output. Several model transformationlanguage s in short MTL are presently available ref See Model TransformationLanguage Available transformation languages list of available transformation languages ref See also Model driven engineering MDE Model driven architecture MDA Domain specific language DSL Model transformationlanguage Refinement Transformation disambiguation Program transformation Data transformation Graph transformation References Reflist Further reading Model Driven Architecture Applying MDA to Enterprise Computing ..., K, and Helsen, S Classification of Model Transformation Approaches. In Proceedings of the OOPSLA ... more details
Data transformation A program transformation is any operation that takes a program and generates another program. It is often important that the derived program be semantically equivalent to the original, relative to a particular Formal semantics of programming languages formal semantics . Other program transformations may generate programs that semantically differ from the original in predictable ways. ref Ward, Martin, http www.cse.dmu.ac.uk mward martin thesis index.html Proving Program Refinements and Transformations , DPhil Thesis, Oxford University, 1989 ref A generalisation of semantic equivalence ... procedures, it is more useful in practice to use a program transformation system such as Stratego XT , TXL programming language TXL , DMS Software Reengineering Toolkit DMS , ASF SDF Meta Environment ASF SDF or FermaT Transformation System Fermat , a tool that can accept and apply specifications ... requirement for program transformation systems is that they be able to process the source code for the programming language of the application system to be transformed. For instance, transforming C is a notoriously hard problem. For a program transformation system to be used in a wide variety ... transformation system to have a robust parsing technology YACC is not adequate most popular languages do not have LALR LALR 1 grammars , a significant investment in building the language front ends ... as building the program transformation system itself. See also Comparison of code generation tools Transformationlanguage Source to source compiler Source code generation Code generation compiler Data transformation References reflist External links http www.program transformation.org The Program transformation Wiki http www.cse.dmu.ac.uk mward martin papers Papers on program transformation theory and practice http www.semanticdesigns.com Company Publications TransformBib.pdf Transformation Technology Bibliography comp sci stub prog lang stub Category Program transformation ... more details
to market. Performance Transformation can be the result of Business Transformation initiatives ... Transformation initiative. More generally, extensive experience suggests that Transformation ... Performance Transformation Category Strategic management Business stub ... more details
Bilinear transformation can refer to Bilinear operator M bius transformation disambig de Bilineare Transformation Long comment to avoid being listed on short pages ... more details
Canonical Transformation may refer to Symplectomorphism , a mathematical treatment Canonical transformation , a physics treatment disambiguation ... more details
Infobox Film name The Transformation of Mike image image size caption director D. W. Griffith producer writer Wilfred Lucas narrator starring Blanche Sweet br Wilfred Lucas music cinematography G. W. Bitzer editing distributor released 1 February 1912 runtime 17 minutes country Film US language Silent film Silent br English language English intertitles budget preceded by followed by The Transformation of Mike is a 1912 in film 1912 short film short silent film silent drama film directed by D. W. Griffith and starring Blanche Sweet . ref name silentera cite web url http www.silentera.com PSFL data T TransformationofMike1912.html title Silent Era The Transformation of Mike accessdate 2008 07 12 work silentera ref Cast Wilfred Lucas Mike Blanche Sweet The Tenement Girl Edna Foster The Tenement Girl s Brother William J. Butler The Tenement Father Kate Bruce A Neighbor Christy Cabanne In Bar as W. Christy Cabanne John T. Dillon actor John T. Dillon A Policeman At Dance Frank Evans actor Frank Evans A Policeman Robert Harron At Dance Grace Henderson At Dance J. Jiquel Lanoe In Bar At Dance Joseph McDermott actor Joseph McDermott In Bar At Dance Gus Pixley At Dance W. C. Robinson In Bar At Dance See also D. W. Griffith filmography Blanche Sweet filmography References reflist External links imdb title id 0002536 title The Transformation of Mike DEFAULTSORT Transformation of Mike, The Category 1912 films Category American films Category Silent films Category Black and white films Category 1910s drama films Category Films directed by D. W. Griffith Category Short films silent drama film stub ... more details
The Great Transformation may refer to The Great Transformation book , a book by Karl Polanyi on the rise of the market economy in England The Great Transformation Norway , a period of social change in Norway in the mid to late 19th century Disambig ... more details
In mathematics , a congruent transformation or congruence transformation is Another term for an isometry see congruence geometry . A Transformation mathematics transformation of the form A P sup T sup AP , where A and P are square matrices, P is invertible matrix invertible , and P sup T sup denotes the transpose of P see Congruence relation Linear algebra congruence in linear algebra . disambig Category mathematical disambiguation ... more details
DNA Transformation genetics In category theory , a branch of mathematics , a natural transformation ... i.e. the composition of morphism s of the categories involved. Hence, a natural transformation can ... applications. Definition If F and G are functor s between the categories C and D , then a natural transformation ... arrows in this diagram are reversed. If is a natural transformation from F to G , we also write ... a natural isomorphism from F to G . An infranatural transformation from F to G is simply a family of morphisms sub X sub F X G X . Thus a natural transformation is an infranatural transformation ... restricts to a natural transformation. Examples A worked example Statements such as Every group is naturally ... transformation from the identity functor to the double dual functor. Every finite dimensional ... of basis, and is not natural, though there is an infranatural transformation. More generally, any ... a natural transformation between the two involved functors Ab × Ab sup op sup × ... between functors F , G , H C D , then we can compose them to get a natural transformation ... transformation is associative and has an identity, and allows one to consider the collection ... transformations also have a horizontal composition . If F G is a natural transformation between functors F , G C D and J K is a natural transformation between functors J , K D E , then the composition .... If F G is a natural transformation between functors F , G C D , and H D E is another functor, then we can form the natural transformation H HF HG by defining math H eta X H eta X. math If on the other hand K B C is a functor, the natural transformation K FK GK is defined by math eta K ... functor F there is an identity natural transformation 1 sub F sub F F which assigns to every object ... above is again a natural transformation. The isomorphism s in C sup I sup are precisely the natural isomorphisms. That is, a natural transformation F G is a natural isomorphism if and only ... more details
Orphan date February 2009 Transformation efficiency is the efficiency by which cells can take up extracellular DNA and express genes encoded by it. This is based on the competence biology competence of the cells. It can be calculated by dividing the number of successful transformants by the amount of DNA used during a transformation genetics transformation procedure. Transformants are cells which have taken up DNA foreign, artificial or modified and which can express genes on the introduced DNA. Factors affecting transformation efficiency A study done in E. coli found that transformation efficiency declines linearly with increasing plasmid size, and that there is a similar transformation efficiency for relaxed and DNA supercoil supercoiled plasmids. This study also found that individual cells were capable of taking up many DNA molecules, and that the presence of multiple plasmids did not significantly affect the occurrence of successful transformation events. ref cite journal author Hanahan D title Studies on the transformation of Escherichia coli with plasmids journal J Mol Bio volume 166 issue 4 pages 557 580 year 1983 pmid 6345791 doi 10.1016 S0022 2836 83 80284 8 ref See also Transformation genetics References references External links http www.sciencegateway.org tools transform.htm Bacteria Transformation Efficiency Calculator Category Genetics ... more details
, Junwei title Generalizing operational transformation to the standard general markup language conference ...Operation Transformation redirects here. For the cross media event, see Operation Transformation TV series . Operational transformation OT is a technology for supporting a range of collaboration functionalities ... OT to a new range of web based applications. History Operational Transformation was pioneered by C ... author Ressel, Matthias and Nitsche Ruhland, Doris and Gunzenh a user, Rul title An integrating, transformation ... author Sun, C. coauthors Ellis, C. year 1998 title Operational transformation in real time group ... arriving at a local site are typically transformed and then executed. The transformation ensures ... the correct character c and the document becomes xab . However, if O2 is executed without transformation ... systems Second, it was defined as operation context based pre and post transformation conditions ... cite journal author Rui Li coauthors Du Li year 2007 title A New Operational Transformation Framework ... specific. Moreover, in the algorithm, the total order must be maintained in the transformation ... level Transformation Control or Integration Algorithms from the low level Transformation Functions. Image Otsystem.png 300px right Division of functionality in an OT system The transformation control ... set of transformation functions, which determine how to transform one operation against another according ... layers are formally specified by a set of transformation properties and conditions. Different ... different sets of transformation properties. The separation of an OT system into these two ... transformation functions, and then design a control procedure to ensure those sufficient conditions. This way the control procedure and transformation functions work synergistically to achieve correctness ... transformation properties such as TP2 because it does not require that the inclusive transformation ... and D. Chen title Operational transformation for collaborative word processing booktitle Proc. of the ACM ... more details
A Procrustes transformation is a geometric transformation that involves only translation , rotation , uniform scaling , or a Function composition combination of these Linear transformation transformations . Hence, it may change the size, but not the shape of a geometric object. Named after the mythical Greek robber, Procrustes , who made his victims fit his bed either by stretching their limbs or cutting them off. See also Procrustes analysis Orthogonal Procrustes problem Affine transformation , which also allows for Shear matrix shear . External links http www.fon.hum.uva.nl praat manual Procrustes transform.html Procrustes transformation Category Euclidean symmetries Geometry stub ... more details
In mathematics, a rigid transformation or a Euclidean transformation is a transformation from a Euclidean space to itself that preserves distances between every pair of points isometry . In particular, any object will have the same shape and size before and after a rigid transformation. Rigid tranformations include rotation mathematics rotations , translation mathematics translations , or their combination sometimes called roto translations . Sometimes reflection mathematics reflections are excluded from the definition of a rigid transformation by imposing that the transformation also preserve the orientation mathematics handedness of figures in the Euclidean space. To avoid ambiguity, this smaller class of transformations is known as proper rigid transformations. In general, any proper rigid transformation can be decomposed as a rotation followed by a translation. Any rigid transformation can be decomposed as an improper rotation followed by a translation or as a sequence of reflections . The set of all proper rigid transformations is a group mathematics group called the Euclidean group . All rigid transformations are affine transformations . Rigid transformations which involve a translation are not linear transformation s. Not all transformations are rigid transformations. An example is a shear mathematics shear , which changes two axes in different ways, or a similarity transformation , which preserves angles but not lengths. In mechanics , proper rigid transformations are used to represent the Displacement vector linear and angular displacement of Rigid body rigid bodies . Formal definition A rigid transformation is formally defined as a transformation that, when acting ... &minus 1 sup i.e., R is an orthogonal transformation , and t is a vector giving the translation of the origin. A proper rigid transformation has, in addition, determinant det R 1 which means that R is a rotation mathematics rotation an orientation preserving orthogonal transformation . References citation ... more details
of Liszt s thematic transformation within the framework of an entirely different musical language ...Thematic transformation also known as Thematic metamorphosis and Thematic development is a technique of where a leitmotif , or theme, is developed by changing the theme by using Permutation music Permutation Transposition music Transposition or Modulation music Modulation , Inversion music Inversion , and Retrograde music Retrograde , augmentation music Augmentation , Diminution , and Fragmentation music Fragmentation . It was primarily developed by Franz Liszt and his good friend Hector Berlioz . The technique is essentially one of variation music variation . A basic theme is reprised throughout a musical work, but it undergoes constant transformations and disguises and is made to appear in several contrasting roles. However, the transformations of this theme will always serve the purpose of unity within variety that was the architectural role of sonata form in the classical symphony. The difference here is that thematic transformation can accommodate the dramatically charged phrases, highly colored melodies and atmospheric harmonies favored by the Romantic composers, whereas sonata ... Also, while thematic transformation is similar to variation, the effect is usually different since ... MacDonald, New Grove 2 , 25 694. ref Development Liszt was not the first composer to use thematic transformation. Ludwig van Beethoven had already used thematic transformation in his Symphony No. 5 Beethoven ... Grove , 11 34. ref Controversy Conservative critics in Liszt s time viewed thematic transformation ... thematic transformation became a regular part of later 19th century music, especially at the hands ... transformation in their compositions. Thematic transformation is used widely today in film scores ..., Hugh, ed Stanley Sadie, Transformation, thematic , The New Grove Dictionary of Music and Musicians ... York Alfred A Knopf, 1989 . ISBN 0 394 52540 X References Reflist DEFAULTSORT Thematic Transformation ... more details
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