05206nam 2200745 a 450 991046242830332120200520144314.01-280-87294-297866137142511-84969-173-8(CKB)2670000000210703(EBL)948496(OCoLC)797917408(SSID)ssj0000694305(PQKBManifestationID)12340620(PQKBTitleCode)TC0000694305(PQKBWorkID)10666732(PQKB)11477275(OCoLC)812179996(MiAaPQ)EBC948496(CaSebORM)9781849691727(PPN)227999916(Au-PeEL)EBL948496(CaPaEBR)ebr10571194(CaONFJC)MIL371425(EXLCZ)99267000000021070320130507d2012 uy 0engur|n|---|||||txtccrWebGL beginner's guide[electronic resource] become a master of 3D web programming in WebGL and JavaScript /Diego Cantor, Brandon Jones1st editionBirmingham, England ;Mumbai, India Packt Publishingc20121 online resource (377 p.)Learn by doing : less theory, more resultsIncludes index.1-84969-172-X Cover; Copyright; Credits; About the Authors; Acknowledgement; About the Reviewers; www.PacktPub.com; Table of Contents; Preface; Chapter 1: Getting Started with WebGL; System requirements; What kind of rendering does WebGL offer?; Structure of a WebGL application; Creating an HTML5 canvas; Time for action - creating an HTML5 canvas; Defining a CSS style for the border; Understanding canvas attributes; What if the canvas is not supported?; Accessing a WebGL context; Time for action - accessing the WebGL context; WebGL is a state machine; Time for action - setting up WebGL context attributesUsing the context to access the WebGL APILoading a 3D scene; Virtual car showroom; Time for action - visualizing a finished scene; Summary; Chapter 2: Rendering Geometry; Vertices and Indices; Overview of WebGL's rendering pipeline; Vertex Buffer Objects (VBOs); Vertex shader; Fragment shader; Framebuffer; Attributes, uniforms, and varyings; Rendering geometry in WebGL; Defining a geometry using JavaScript arrays; Creating WebGL buffers; Operations to manipulate WebGL buffers; Associating attributes to VBOs; Binding a VBO; Pointing an attribute to the currently bound VBOEnabling the attributeRendering; The drawArrays and drawElements functions; Putting everything together; Time for action - rendering a square; Rendering modes; Time for action - rendering modes; WebGL as a state machine: buffer manipulation; Time for action - enquiring on the state of buffers; Advanced geometry loading techniques: JavaScript Object Notation (JSON) and AJAX; Introduction to JSON - JavaScript Object Notation; Defining JSON-based 3D models; JSON encoding and decoding; Time for action - JSON encoding and decoding; Asynchronous loading with AJAX; Setting up a web serverWorking around the web server requirementTime for action - loading a cone with AJAX + JSON; Summary; Chapter 3: Lights!; Lights, normals, and materials; Lights; Normals; Materials; Using lights, normals, and materials in the pipeline; Parallelism and the difference between attributes and uniforms; Shading methods and light reflection models; Shading/interpolation methods; Goraud interpolation; Phong interpolation; Light reflection models; Lambertian reflection model; Phong reflection model; ESSL-OpenGL ES Shading Language; Storage qualifier; Types; Vector components; Operators and functionsVertex attributesUniforms; Varyings; Vertex shader; Fragment shader; Writing ESSL programs; Goraud shading with Lambertian reflections; Time for action - updating uniforms in real time; Goraud shading with Phong reflections; Time for action - Goraud shading; Phong shading; Time for action - Phong shading with Phong lighting; Back to WebGL; Creating a program; Initializing attributes and uniforms; Bridging the gap between WebGL and ESSL; Time for action - working on the wall; More on lights: positional lights; Time for action - positional lights in action; Nissan GTS example; SummaryChapter 4: CameraBecome a master of 3D web programming in WebGL and JavaScriptComputer graphicsComputer programsHTML (Document markup language)Internet programmingJavaScript (Computer program language)Electronic books.Computer graphicsComputer programs.HTML (Document markup language)Internet programming.JavaScript (Computer program language)006.6869Cantor Diego942731Jones Brandon942732MiAaPQMiAaPQMiAaPQBOOK9910462428303321WebGL beginner's guide2127352UNINA07974nam 2200589 450 991050846250332120230510093636.03-030-75425-1(MiAaPQ)EBC6803486(Au-PeEL)EBL6803486(CKB)19410490600041(OCoLC)1286430115(PPN)258838973(EXLCZ)991941049060004120220815d2021 uy 0engurcnu||||||||txtrdacontentcrdamediacrrdacarrierFrom operator theory to orthogonal polynomials, combinatorics, and number theory a volume in honor of Lance Littlejohn's 70th birthday /Fritz Gesztesy, Andrei Martinez-Finkelshtein, editorsCham, Switzerland :Birkhäuser,[2021]©20211 online resource (388 pages)Operator theory, advances and applications ;Volume 285Print version: Gesztesy, Fritz From Operator Theory to Orthogonal Polynomials, Combinatorics, and Number Theory Cham : Springer International Publishing AG,c2022 9783030754242 Includes bibliographical references.Intro -- Preface -- References -- Contents -- Compositions and Chebyshev Polynomials -- 1 Introduction -- 2 Proof of Theorem 1 -- 3 Proof of Theorem 2 -- 4 Proof of Theorem 3 -- 5 Proofs of Theorems 4 and Corollary 1 -- 6 Proof of Theorem 6 and Corollaries -- 7 Further Topics -- References -- Non-negative Extensions of Hamiltonian Systems -- 1 Introduction -- 2 Preliminaries -- 3 The Friedrichs Extension TF of T0 -- 4 Characterisation of Non-negative Extensions TB -- 5 Example: A Fourth Order ODE -- References -- On Simon's Hausdorff Dimension Conjecture -- 1 Introduction -- 2 A Weak Version of Simon's Hausdorff Dimension Conjecture -- 2.1 A Basic Estimate -- 2.2 Prüfer Variables -- 2.3 Unboundedness and Infinite Energy -- 2.4 Proof of Theorem 1.1 and Corollary 1.2 -- References -- Hypergeometric Functions over Finite Fields and Modular Forms: A Survey and New Conjectures -- 1 Introduction -- 2 Preliminaries -- 3 Weight Two Newforms -- 4 Higher Weight Newforms -- 4.1 The Conjectures of Rodriguez Villegas -- 4.2 Conjectures of Evans -- 4.3 Relations with Ramanujan's τ-Function -- 4.4 Other Relations -- 5 Trace Formulas for Hecke Operators -- 6 New Relations -- References -- Ballistic Transport for Periodic Jacobi Operators on Zd -- 1 Introduction -- 2 Decomposition of J -- 3 Ballistic Motion -- References -- Perspectives on General Left-Definite Theory -- 1 Introduction -- 1.1 Notation -- 2 Sturm-Liouville Operators -- 3 Left-Definite Theory -- 4 Comparison with BKV Semi-Bounded Form Theory -- 5 Scale of Spaces from Singular Perturbation Theory -- 6 Perturbation Setup -- Appendix: Extension Theory -- References -- Sampling in the Range of the Analysis Operator of a Continuous Frame Having Unitary Structure -- 1 Statement of the Problem -- 2 Some Preliminaries -- 2.1 Continuous and Discrete Frames.2.2 Discrete Convolution Systems and Frames of Translates -- 3 The Subspace of L2(G) Where the Sampling Is Carried Out -- 3.1 Sampling Data as a Filtering Process -- 4 The Main Sampling Result and Consequences -- 4.1 Sampling at a Subgroup R with Finite Index in H -- 4.2 Additional Notes and Remarks -- 4.3 The Case of a Semi-Direct Product of Groups -- Euclidean Motion Group and Crystallographic Subgroups -- 4.4 Some Final Comments -- References -- An Extension of the Coherent Pair of Measures of the Second Kind on the Unit Circle -- 1 Introduction -- 2 Coherent Pairs of Measures of the Second Kind -- 2.1 The Case dμ1(z) = 12πi zdz -- 2.2 The Case dμ1(z)=1|z-u|212πi zdz, u≠0 -- 2.3 A General Case -- 3 Hessenberg Matrices -- 4 Sobolev OPUC -- References -- Bessel-Type Operators and a Refinement of Hardy's Inequality -- 1 Introduction -- 2 An Exactly Solvable, Strongly Singular, Periodic Schrödinger Operator -- 3 A Refinement of Hardy's Inequality -- A.1 The Weyl-Titchmarsh-Kodaira m-Function Associated with Ts,F -- B.1 Remarks on Hardy-Type Inequalities -- References -- Spectral Theory of Exceptional Hermite Polynomials -- 1 Introduction -- 2 Some Spectral Theory -- 3 The Formal Theory of Exceptional Hermite Polynomials -- 3.1 Multi-Step Factorization Chains -- 3.2 The Norm Identity -- 4 The L2 Theory -- References -- Occupation Time for Classical and Quantum Walks -- 1 Introduction -- 2 A Look at the Classical Discrete Case -- 3 Occupation Times for Quantum Walks -- 4 A Look at the Hadamard Walk -- 5 The Walk with a Constant Coin -- 6 The Even Verblunsky Coefficients Tend to One -- 7 A Look at the Riesz Walk -- References -- On Foci of Ellipses Inscribed in Cyclic Polygons -- 1 Introduction -- 2 Background and Notation -- 3 The Quadrilateral Case -- 4 The Hexagon Case -- 5 The Pentagon Case -- References -- A Differential Analogue of Favard's Theorem.1 Introduction -- 2 The Main Theory -- 2.1 Fundamental Results -- 2.2 Relation to Existing Work -- 3 Examples -- 3.1 Jacobi -- 3.2 Hermite -- 3.3 Generalized Hermite -- 3.4 Laguerre -- 3.5 Generalized Laguerre -- 3.6 Continuous Hahn -- 4 Computational Considerations -- 4.1 Computation of Expansion Coefficients -- 4.2 Approximation Theory on the Real Line -- 5 Periodic Bases Arising from Discrete Orthogonal Polynomials -- 6 Challenges and Outlook -- 6.1 Transform Pairs -- 6.2 Location of Zeros -- 6.3 Sobolev Orthogonality -- 6.4 Beyond the Canonical Form -- 6.5 A Freudian Slip-Why We Need More Polynomials -- References -- Intrinsic Properties of Strongly Continuous Fractional Semigroups in Normed Vector Spaces -- 1 Introduction -- 2 Background -- 2.1 Logarithmic Norms on Banach Spaces -- 2.2 Logarithmic Norm Bounds of Classical Semigroups -- 3 Fractional Semigroups -- 3.1 Mittag-Leffler and Wright Functions -- 3.2 Logarithmic Norm Bounds of Fractional Semigroups -- 4 Conclusions and Future Endeavors -- References -- The BFK-gluing Formula for Zeta-determinants and the Conformal Rescaling of a Metric -- 1 Introduction -- 2 The Metric Rescaling and Invariance Theory -- 3 Proof of Theorem 1 -- 4 Conclusions -- References -- New Representations of the Laguerre-Sobolev and Jacobi-Sobolev Orthogonal Polynomials -- 1 Introduction -- 2 Two Representations of the Laguerre-Sobolev Polynomials -- 3 New Representations of the Jacobi-Sobolev Polynomials -- References -- Compactness, or Lack Thereof, for the Harmonic Double Layer -- 1 Compactness of the Harmonic Double Layer Operator on Lebesgue Spaces -- 2 Failure of Compactness for the Harmonic Double Layer Operator -- References -- Weighted Chebyshev Polynomials on Compact Subsets of the Complex Plane -- 1 Introduction -- 2 Existence, Uniqueness, and Characterization of Weighted Chebyshev Polynomials.3 Bounds for Weighted Chebyshev Polynomials -- References -- The Eichler Integral of E2 and q-brackets of t-hook Functions -- 1 Introduction and Statement of Results -- 2 Nuts and Bolts -- 2.1 A Formula of Han -- 2.2 A Formula of Berndt -- 3 Proofs of Results -- 4 Some Examples -- References.Operator theory, advances and applications ;Volume 285.Operator theorySpectral theory (Mathematics)Teoria espectral (Matemàtica)thubTeoria d'operadorsthubHomenatgesthubLlibres electrònicsthubOperator theory.Spectral theory (Mathematics)Teoria espectral (Matemàtica)Teoria d'operadors515.724Gesztesy Fritz1953-Martínez Finkelshtein AndreiMiAaPQMiAaPQMiAaPQBOOK9910508462503321From operator theory to orthogonal polynomials, combinatorics, and number theory2904759UNINA