LEADER 01645nam 22003613 450 001 9910130508203321 005 20210422131332.0 035 $a(CKB)3400000000020215 035 $a(ItFiC)it 1004308X 035 $a(EXLCZ)993400000000020215 100 $a20110314d2009 uy 0 101 0 $aita 200 00$aAlloglossie e comunita? alloglotte nell'Italia contemporanea$b[electronic resource] $eteorie, applicazioni e descrizioni, prospettive : atti del XLI Congresso internazionale di studi della societa? linguistica italiana (SLI) : Pescara, 27-29 settembre 2007 /$fa cura di Carlo Consani ... [et al.] 210 $aRoma $cBulzoni$d2009 215 $aiv, 476 p 225 0$aPubblicazioni della Societa? di linguistica italiana ;$v52 300 $aProceedings. 300 $aAt head of title: SLI, Societa? di linguistica italiana. 300 $aContains. 311 $a88-7870-440-7 320 $aIncludes bibliographical references. 327 $uhttp://www.ilibri.casalini.it/toc/1004308X.pdf$3TOC 517 $aAlloglossie e comunitą alloglotte nell'Italia contemporanea : teorie, applicazioni e descrizioni, prospettive : atti del XLI Congresso internazionale di studi della societą linguistica italiana (SLI) : Pescara, 27-29 settembre 2007 517 $aAlloglossie e comunitą alloglotte nell'Italia contemporanea 607 $aItaly$xLanguages$vCongresses 676 $a457 701 $aConsani$b Carlo$0256921 801 0$bItFiC 801 1$bItFiC 906 $aBOOK 912 $a9910130508203321 996 $aAlloglossie e comunita? alloglotte nell'Italia contemporanea$92439848 997 $aUNINA LEADER 06745nam 2200457 450 001 9910497087203321 005 20220727163845.0 010 $a9781447175094 010 $z9781447175087 035 $a(CKB)4940000000610934 035 $a(MiAaPQ)EBC6719235 035 $a(Au-PeEL)EBL6719235 035 $a(OCoLC)1267298987 035 $a(PPN)258057505 035 $a(EXLCZ)994940000000610934 100 $a20220610d2021 uy 0 101 0 $aeng 135 $aurcnu|||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aQuaternions for computer graphics /$fJohn Vince 205 $aSecond edition. 210 1$aLondon, England :$cSpringer,$d[2021] 210 4$d©2021 215 $a1 online resource (188 pages) 320 $aIncludes bibliographical references and index. 327 $aIntro -- Preface -- Contents -- 1 Introduction -- 1.1 Rotation Transforms -- 1.2 The Reader -- 1.3 Aims and Objectives of This Book -- 1.4 Mathematical Techniques -- 1.5 Assumptions Made in This Book -- References -- 2 Number Sets and Algebra -- 2.1 Introduction -- 2.2 Number Sets -- 2.2.1 Natural Numbers -- 2.2.2 Real Numbers -- 2.2.3 Integers -- 2.2.4 Rational Numbers -- 2.3 Arithmetic Operations -- 2.4 Axioms -- 2.5 Expressions -- 2.6 Equations -- 2.7 Ordered Pairs -- 2.8 Groups, Rings and Fields -- 2.8.1 Groups -- 2.8.2 Abelian Group -- 2.8.3 Rings -- 2.8.4 Fields -- 2.8.5 Division Ring -- 2.9 Summary -- 2.9.1 Summary of Definitions -- Reference -- 3 Complex Numbers -- 3.1 Introduction -- 3.2 Imaginary Numbers -- 3.3 Powers of i -- 3.4 Definition of a Complex Number -- 3.4.1 Addition and Subtraction of Complex Numbers -- 3.4.2 Multiplying a Complex Number by a Scalar -- 3.4.3 Product of Complex Numbers -- 3.4.4 Square of a Complex Number -- 3.4.5 Norm of a Complex Number -- 3.4.6 Complex Conjugate of a Complex Number -- 3.4.7 Quotient of Complex Numbers -- 3.4.8 Inverse of a Complex Number -- 3.4.9 Square-Root of pmi -- 3.5 Field Structure of Complex Numbers -- 3.6 Ordered Pairs -- 3.6.1 Addition and Subtraction of Ordered Pairs -- 3.6.2 Multiplying an Ordered Pair by a Scalar -- 3.6.3 Product of Ordered Pairs -- 3.6.4 Square of an Ordered Pair -- 3.6.5 Norm of an Ordered Pair -- 3.6.6 Complex Conjugate of an Ordered Pair -- 3.6.7 Quotient of an Ordered Pair -- 3.6.8 Inverse of an Ordered Pair -- 3.6.9 Square-Root of pmi -- 3.7 Matrix Representation of a Complex Number -- 3.7.1 Adding and Subtracting Complex Numbers -- 3.7.2 Product of Two Complex Numbers -- 3.7.3 Norm Squared of a Complex Number -- 3.7.4 Complex Conjugate of a Complex Number -- 3.7.5 Inverse of a Complex Number -- 3.7.6 Quotient of a Complex Number. 327 $a3.7.7 Square-Root of pmi -- 3.8 Summary -- 3.8.1 Summary of Definitions -- 3.9 Worked Examples -- 3.9.1 Adding and Subtracting Complex Numbers -- 3.9.2 Product of Complex Numbers -- 3.9.3 Multiplying a Complex Number by i -- 3.9.4 The Norm of a Complex Number -- 3.9.5 The Complex Conjugate of a Complex Number -- 3.9.6 The Quotient of Two Complex Numbers -- 3.9.7 Divide a Complex Number by i -- 3.9.8 Divide a Complex Number by -i -- 3.9.9 The Inverse of a Complex Number -- 3.9.10 The Inverse of i -- 3.9.11 The Inverse of -i -- References -- 4 The Complex Plane -- 4.1 Introduction -- 4.2 Some History -- 4.3 The Complex Plane -- 4.4 Polar Representation -- 4.5 Rotors -- 4.6 Summary -- 4.6.1 Summary of Definitions -- 4.7 Worked Examples -- 4.7.1 Rotate a Complex Number by i -- 4.7.2 Product and Quotient Using Polar Form -- 4.7.3 Design a Rotor to Rotate a Complex Number 30° -- 4.7.4 Design a Rotor to Rotate a Complex Number -60° -- References -- 5 Triples and Quaternions -- 5.1 Introduction -- 5.2 Some History -- 5.3 Triples -- 5.3.1 Adding and Subtracting Triples -- 5.4 The Birth of Quaternions -- References -- 6 Quaternion Algebra -- 6.1 Introduction -- 6.2 Some History -- 6.3 Defining a Quaternion -- 6.3.1 The Quaternion Units -- 6.3.2 Example of Quaternion Products -- 6.4 Algebraic Definition -- 6.5 Adding and Subtracting Quaternions -- 6.6 Real Quaternion -- 6.7 Multiplying a Quaternion by a Scalar -- 6.8 Pure Quaternion -- 6.9 Unit Quaternion -- 6.10 Additive Form of a Quaternion -- 6.11 Binary Form of a Quaternion -- 6.12 The Complex Conjugate of a Quaternion -- 6.13 Norm of a Quaternion -- 6.14 Normalised Quaternion -- 6.15 Quaternion Products -- 6.15.1 Product of Pure Quaternions -- 6.15.2 Product of Unit-Norm Quaternions -- 6.15.3 Square of a Quaternion -- 6.15.4 Norm of the Quaternion Product -- 6.16 Inverse Quaternion -- 6.17 Matrices. 327 $a6.17.1 Orthogonal Matrix -- 6.18 Quaternion Algebra -- 6.19 Summary -- 6.19.1 Summary of Definitions -- 6.20 Worked Examples -- 6.20.1 Adding and Subtracting Quaternions -- 6.20.2 Norm of a Quaternion -- 6.20.3 Unit-Norm Quaternions -- 6.20.4 Quaternion Product -- 6.20.5 Square of a Quaternion -- 6.20.6 Inverse of a Quaternion -- References -- 7 3-D Rotation Transforms -- 7.1 Introduction -- 7.2 3-D Rotation Transforms -- 7.3 Rotating About a Cartesian Axis -- 7.4 Rotate About an Off-Set Axis -- 7.5 Composite Rotations -- 7.6 Rotating About an Arbitrary Axis -- 7.6.1 Matrices -- 7.6.2 Vectors -- 7.7 Rodrigues' Rotation Formula -- 7.8 Summary -- 7.8.1 Summary of Definitions -- 7.9 Worked Examples -- 7.9.1 Rotation Transform About an Off-Set Axis -- 7.9.2 Test for Gimbal Lock -- 7.9.3 The General Rotation Matrix -- 7.9.4 Testing the Rotation Matrix -- References -- 8 Quaternions in Space -- 8.1 Introduction -- 8.2 Some History -- 8.2.1 Composition Algebras -- 8.3 Quaternion Products -- 8.3.1 Special Case -- 8.3.2 General Case -- 8.3.3 Double Angle -- 8.4 Quaternions in Matrix Form -- 8.4.1 Vector Method -- 8.4.2 Matrix Method -- 8.4.3 Geometric Verification -- 8.5 Multiple Rotations -- 8.6 Rotating About an Off-Set Axis -- 8.7 Frames of Reference -- 8.8 Interpolating -- 8.8.1 Linear Interpolation -- 8.9 Interpolating Vectors -- 8.10 Interpolating Quaternions -- 8.11 Converting a Rotation Matrix to a Quaternion -- 8.12 Euler Angles to Quaternion -- 8.13 Summary -- 8.13.1 Summary of Definitions -- 8.14 Worked Examples -- 8.14.1 Special Case Quaternion -- 8.14.2 Rotating a Vector Using a Quaternion -- 8.14.3 Evaluate qpq-1 -- 8.14.4 Evaluate qpq-1 Using a Matrix -- 8.14.5 Slerp Interpolation -- 8.14.6 Rotation Matrix into a Quaternion -- References -- 9 Conclusion -- Index. 606 $aQuaternions 615 0$aQuaternions. 676 $a512.5 700 $aVince$b John$g(John A.),$0471760 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910497087203321 996 $aQuaternions for computer graphics$92870222 997 $aUNINA LEADER 02924nam 22006614a 450 001 9910782784803321 005 20230617003515.0 010 $a1-59385-036-0 010 $a1-281-96296-1 010 $a9786611962968 010 $a1-60623-209-6 035 $a(CKB)1000000000692568 035 $a(EBL)406035 035 $a(OCoLC)476225023 035 $a(SSID)ssj0000543322 035 $a(PQKBManifestationID)12214938 035 $a(PQKBTitleCode)TC0000543322 035 $a(PQKBWorkID)10520310 035 $a(PQKB)10380089 035 $a(SSID)ssj0000128225 035 $a(PQKBManifestationID)11989456 035 $a(PQKBTitleCode)TC0000128225 035 $a(PQKBWorkID)10064067 035 $a(PQKB)10611201 035 $a(MiAaPQ)EBC406035 035 $a(Au-PeEL)EBL406035 035 $a(CaPaEBR)ebr10267384 035 $a(CaONFJC)MIL196296 035 $a(EXLCZ)991000000000692568 100 $a20031217d2004 uy 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aConceptual foundations of teaching reading$b[electronic resource] /$fMark Sadoski 210 $aNew York $cGuilford Press$dc2004 215 $a1 online resource (176 p.) 225 1 $aSolving problems in the teaching of literacy 300 $aDescription based upon print version of record. 311 $a1-59385-037-9 320 $aIncludes bibliographical references and indexes. 327 $aIntroduction, background, and structure of this book -- A brief history of teaching reading -- Why? The goals of teaching reading -- What? The fundamental competencies of reading -- How? Part I. Basic teaching and learning approaches -- How? Part II. A map of the territory -- How? Part III. Exemplars of a balanced approach -- How well? The status of reading achievement and its teaching. 330 $aThis lucidly written book provides a concise conceptual map to guide preservice and inservice teachers through the often-confusing terrain of reading instruction. Distinguished researcher and former classroom teacher Mark Sadoski describes the essential concepts and methods of the field and summarizes key research findings and historical developments. The main competency areas in reading are explained, and widely used approaches to building these competencies are reviewed. Aided by quick-reference tables and other illustrations, readers gain a systematic framework to help them demystify t 410 0$aSolving problems in the teaching of literacy. 606 $aReading 606 $aCurriculum planning 615 0$aReading. 615 0$aCurriculum planning. 676 $a418.4/019 700 $aSadoski$b Mark$0894083 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910782784803321 996 $aConceptual foundations of teaching reading$93727233 997 $aUNINA