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Test Data Engineering [[electronic resource] ] : Latent Rank Analysis, Biclustering, and Bayesian Network / / by Kojiro Shojima
| Test Data Engineering [[electronic resource] ] : Latent Rank Analysis, Biclustering, and Bayesian Network / / by Kojiro Shojima |
| Autore | Shojima Kojiro |
| Edizione | [1st ed. 2022.] |
| Pubbl/distr/stampa | Singapore : , : Springer Nature Singapore : , : Imprint : Springer, , 2022 |
| Descrizione fisica | 1 online resource (xxii, 579 pages) : illustrations |
| Disciplina | 519.542 |
| Collana | Behaviormetrics: Quantitative Approaches to Human Behavior |
| Soggetto topico |
Social sciences - Statistical methods
Statistics Political planning Psychometrics Machine learning Statistics in Social Sciences, Humanities, Law, Education, Behavorial Sciences, Public Policy Statistical Theory and Methods Public Policy Machine Learning Estadística bayesiana Anàlisi de conglomerats Mineria de dades Tests i proves en educació Processament de dades Visualització de la informació |
| Soggetto genere / forma | Llibres electrònics |
| ISBN |
9789811699863
9789811699856 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Concept of Test Data Engineering -- Test Data and Item Analysis -- Classical Test Theory -- Item Response Theory -- Latent Class Analysis -- Biclustering -- Bayesian Network Model. |
| Record Nr. | UNINA-9910586633203321 |
Shojima Kojiro
|
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| Singapore : , : Springer Nature Singapore : , : Imprint : Springer, , 2022 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Topological methods in data analysis and visualization . VI Theory, applications, and software / / Ingrid Hotz [and three others] editors
| Topological methods in data analysis and visualization . VI Theory, applications, and software / / Ingrid Hotz [and three others] editors |
| Pubbl/distr/stampa | Cham, Switzerland : , : Springer, , [2021] |
| Descrizione fisica | 1 online resource (372 pages) |
| Disciplina | 514 |
| Collana | Mathematics and Visualization |
| Soggetto topico |
Topology
Mathematical analysis Information visualization Topologia Anàlisi matemàtica Visualització de la informació |
| Soggetto genere / forma |
Congressos
Llibres electrònics |
| ISBN | 3-030-83500-6 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Intro -- Preface -- Contents -- Part I: Scalar Field Topology - Algorithms and Applications -- W-Structures in Contour Trees -- 1 Introduction -- 2 Background -- 2.1 Contour Trees -- 2.2 Contour Tree Algorithms -- 2.3 Contour Tree Simplification -- 3 W-Structures in Contour Trees -- 3.1 Spatial Characterization -- 3.2 W-Diameter Algorithms -- 3.3 Algorithm 1-Multi BFS -- 3.4 Algorithm 2-Double BFS -- 3.5 Algorithm 3-Dynamic -- 4 Empirical Study -- 4.1 Results -- 5 W-Structure Simplification -- 5.1 Persistent Homology Overview -- 5.2 Comparison of Critical Point Pairs -- 6 Conclusion -- References -- Mergemaps: Treemaps for Scientific Data -- 1 Introduction -- 1.1 Related Work -- 1.2 Summary of Results -- 2 Background -- 2.1 Merge Tree -- 2.2 Treemap -- 3 Mergemap -- 3.1 Motivation -- 3.2 Algorithm -- 3.3 Interaction -- 3.4 Operations -- 3.5 Area Distortion -- 4 Case Studies -- 4.1 Ethane-1,2-diol -- 4.2 Fuel -- 4.3 Silicium -- 4.4 von K225rm225n Street -- 5 Conclusions -- References -- Notes on Percolation Analysis of Sampled Scalar Fields -- 1 Introduction -- 2 Related Work and Background -- 3 From Infinite to Finite -- 3.1 The Extremes of the Value Range -- 3.2 Histogram Distribution -- 4 Analysis and Visualization of Percolation Curve Ensembles -- 4.1 Analysis of a Single Percolation Curve -- 4.2 Analysis of Percolation Curve Ensembles -- 5 Experiments -- 5.1 Randomness and Structure: Gaussian Random Fields -- 5.2 Turbulent Flow: Duct Data Set -- 6 Conclusions and Future Work -- References -- Distributed Task-Parallel Topology-Controlled Volume Rendering -- 1 Introduction -- 2 Related Work -- 3 System Design -- 4 Implementation -- 4.1 Merge -- 4.2 Simplify -- 4.3 Update -- 4.4 Branch Decomposition Assembly -- 4.5 Transfer Function Assignment -- 4.6 Rendering -- 5 Results -- 5.1 Experimental Design -- 5.2 General Observations.
5.3 Algorithm Validation -- 5.4 Strong Scaling -- 5.5 Weak Scaling -- 6 Conclusion -- References -- Topology-Based Feature Design and Tracking for Multi-center Cyclones -- 1 Introduction -- 2 Background -- 3 Full Tracking Graph Computation -- 4 Feature Definition and Tracking of Cyclonic Systems -- 5 Implementation Details -- 6 Case Study -- 7 Conclusion and Discussion -- References -- Using Contour Trees in the Analysis and Visualization of Radio Astronomy Data Cubes -- 1 Introduction -- 2 Science Case -- 3 Technical Background -- 4 Application Development Process -- 4.1 Designing to Serve the ALMA Community -- 5 Software Design -- 5.1 Visual Elements -- 5.2 Interaction Process -- 6 Case Studies -- 6.1 Ghost of Mirach Galaxy Data Set -- 6.2 CMZ Data Set -- 7 Discussion -- References -- Part II: Topological Methods in Complex Fields - Flow Fields, Tensor Fields, and Multi-fields -- Objective Finite-Time Flow Topology from Flowmap Expansion and Contraction -- 1 Introduction -- 2 Related Work -- 2.1 Classic Steady Vector Field Topology -- 2.2 Streamlines vs. Pathlines -- 2.3 Reference Frames -- 2.4 Lagrangian Coherent Structures -- 2.5 Time-Dependent Saddles -- 3 Intuitive Approach -- 4 Theory -- 4.1 Mathematical Definition -- 4.2 Relation to the Lagrangian Definition -- 4.3 Objectivity -- 4.4 Linear Approximation -- 4.5 Strength -- 4.6 Weighting Related to FTLE -- 4.7 Separatrices -- 5 Experiments -- 6 Discussion -- 7 Conclusion -- References -- Coreline Criteria for Inertial Particle Motion -- 1 Introduction -- 2 Related Work -- 2.1 Galilean Invariance -- 2.2 Inertial Particle Motion -- 2.3 Vortex Corelines of Massless Flows -- 2.4 Vortex Corelines of Inertial Particles -- 3 Vortex Coreline Criteria for Inertial Particles -- 3.1 Generalized Inertial Particle Motion -- 3.2 Inertial Motion in Steady Frame -- 3.3 First-Order Corelines. 3.4 Second-Order Corelines -- 4 Implementation -- 5 Results -- 5.1 Comparison of Inertial Particle Parameters -- 5.2 Comparison of Inertial Particle Models -- 5.3 Second-Order Corelines in 3D -- 5.4 Memory Consumption and Performance -- 5.5 Discussion -- 6 Conclusion -- Appendix 1 - Derivation of First-order 3D Criterion -- Appendix 2 - Tracer Particles as Limit Case -- References -- Implicit Visualization of 2D Vector Field Topology for Periodic Orbit Detection -- 1 Introduction -- 2 Related Work -- 3 Motivation -- 4 Method -- 5 Algorithm -- 5.1 Integration -- 5.2 Refinement -- 5.3 Implementation -- 6 Results -- 6.1 Rotated Flow -- 6.2 Buoyant Flow -- 6.3 Buoyant Flow II -- 6.4 Discussion -- 7 Conclusion -- References -- Visually Evaluating the Topological Equivalence of Bounded Bivariate Fields -- 1 Introduction -- 2 Related Work in Visualization -- 3 Set-Up -- 3.1 The mathcalB+-Equivalence and Fiber Topology -- 3.2 Invariants -- 4 Reeb Space Visualization and Computation -- 4.1 Visualization -- 4.2 Computation -- 5 Invariants for Bounded Map Germs -- 6 Outcome -- 6.1 Comparing Forms of Equivalence Through Visual Investigation -- 6.2 Germs of Corank 2 -- 7 Discussion -- 8 Conclusion -- References -- Topological Feature Search in Time-Varying Multifield Data -- 1 Introduction -- 2 Related Work -- 3 Background -- 3.1 Histogram and Isosurface Statistics, Continuous Scatter Plot -- 3.2 Multifield Topology and Jacobi Set -- 3.3 Reeb Space and Joint Contour Net -- 3.4 Histogram Distance Measures -- 4 Our Method -- 4.1 Fiber-Component Distribution over the Range Space -- 4.2 Distance Between Two Fiber-Component Distributions -- 4.3 Weighted Distance for the Singular Values -- 4.4 Metric Space Properties of the Distance Measures -- 5 Implementation -- 6 Applications -- 6.1 Synthetic Data -- 6.2 Plutonium Atom Dataset -- 6.3 Fermium Atom Dataset. 6.4 Chemistry Data: Pt-CO Bond -- 7 Single Scalar Field vs. Multifield -- 8 Conclusions and Future Work -- References -- Tensor Fields for Data Extraction from Chart Images: Bar Charts and Scatter Plots -- 1 Introduction -- 2 Related Work -- 3 Background on Local Geometric Descriptors -- 4 Our Proposed Method -- 5 Experiments and Results -- 6 Conclusions -- References -- Part III: Topology for Geometric Data -- A Fast Approximate Skeleton with Guarantees for Any Cloud of Points in a Euclidean Space -- 1 Introduction: Reconstructions from Unorganized Clouds -- 2 Basic Definitions and a Review of the Related Past Work -- 3 A New Tree core(C) Defined for Any Point Cloud CsubsetmathbbRm -- 4 ASk(C): Approximate Skeleton of a Cloud CsubsetmathbbRm -- 5 Comparisons of Five Algorithms on Real and Synthetic Data -- 6 Conclusions and a Discussion of the Approximate Skeleton -- References -- Topologically Robust B-spline Reconstruction of Fibers from 3D Images -- 1 Introduction -- 2 Related Work -- 3 Pipeline -- 4 B-Spline Approximation -- 4.1 B-Spline Surface Notation -- 4.2 Single B-Spline Surface Approximation -- 4.3 Constructing a Continuous Surface Model -- 5 Results -- 6 Conclusions -- References -- Part IV: Overview Articles, Software and Viewpoints -- Introduction to Vector Field Topology -- 1 Introduction -- 2 Steady Vector Fields -- 2.1 Two-Dimensional Flows -- 2.2 Three-Dimensional Flows -- 2.3 Remarks -- 3 Unsteady Flows -- 3.1 Streamline-Oriented Topology -- 3.2 Pathline-Oriented Topology -- 4 Concepts -- 4.1 Reference Frame Transformation -- 4.2 Reference Frame Invariance -- 4.3 Topology in Steady Reference Frames -- 4.4 High-Dimensional Flows -- 4.5 Uncertainty -- 5 Outlook -- References -- An Overview of the Topology ToolKit -- 1 Introduction -- 2 Scalar Data -- 3 Bivariate Scalar Data -- 4 Uncertain Scalar Data -- 5 Time-Varying Scalar Data. 6 High-Dimensional Point Cloud Data -- 7 In Situ Topological Analysis -- 8 Convenience -- 9 Conclusion and Perspectives -- References -- Implementing Persistence-Based Clustering of Point Clouds in the Topology ToolKit -- 1 Introduction -- 1.1 Contributions -- 2 Related Work -- 3 Software Design Overview -- 4 Computing Scalar Fields from Point Clouds -- 4.1 Parameter Setting -- 5 Persistence-Based Clustering -- 5.1 User Options -- 5.2 Automatic Parameter Setting -- 6 Experimental Results -- 6.1 Automatic Feature Detection -- 6.2 Comparison Against Other Clustering Methods -- 7 Discussion -- References -- Report of the TopoInVis TTK Hackathon: Experiences, Lessons Learned, and Perspectives -- 1 Introduction -- 2 Organization -- 2.1 Preparation -- 2.2 Program -- 3 Results -- 3.1 Packaging -- 3.2 Vector Field Robustness Module -- 3.3 Extending the Integration of TTK in Inviwo -- 3.4 Periodic Grids -- 4 Conclusion -- 4.1 Workgroup Results -- 4.2 Organizational Aspects -- 4.3 TTK Development Directions -- References. |
| Record Nr. | UNINA-9910502997603321 |
| Cham, Switzerland : , : Springer, , [2021] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Topological methods in data analysis and visualization . VI Theory, applications, and software / / Ingrid Hotz [and three others] editors
| Topological methods in data analysis and visualization . VI Theory, applications, and software / / Ingrid Hotz [and three others] editors |
| Pubbl/distr/stampa | Cham, Switzerland : , : Springer, , [2021] |
| Descrizione fisica | 1 online resource (372 pages) |
| Disciplina | 514 |
| Collana | Mathematics and Visualization |
| Soggetto topico |
Topology
Mathematical analysis Information visualization Topologia Anàlisi matemàtica Visualització de la informació |
| Soggetto genere / forma |
Congressos
Llibres electrònics |
| ISBN | 3-030-83500-6 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Intro -- Preface -- Contents -- Part I: Scalar Field Topology - Algorithms and Applications -- W-Structures in Contour Trees -- 1 Introduction -- 2 Background -- 2.1 Contour Trees -- 2.2 Contour Tree Algorithms -- 2.3 Contour Tree Simplification -- 3 W-Structures in Contour Trees -- 3.1 Spatial Characterization -- 3.2 W-Diameter Algorithms -- 3.3 Algorithm 1-Multi BFS -- 3.4 Algorithm 2-Double BFS -- 3.5 Algorithm 3-Dynamic -- 4 Empirical Study -- 4.1 Results -- 5 W-Structure Simplification -- 5.1 Persistent Homology Overview -- 5.2 Comparison of Critical Point Pairs -- 6 Conclusion -- References -- Mergemaps: Treemaps for Scientific Data -- 1 Introduction -- 1.1 Related Work -- 1.2 Summary of Results -- 2 Background -- 2.1 Merge Tree -- 2.2 Treemap -- 3 Mergemap -- 3.1 Motivation -- 3.2 Algorithm -- 3.3 Interaction -- 3.4 Operations -- 3.5 Area Distortion -- 4 Case Studies -- 4.1 Ethane-1,2-diol -- 4.2 Fuel -- 4.3 Silicium -- 4.4 von K225rm225n Street -- 5 Conclusions -- References -- Notes on Percolation Analysis of Sampled Scalar Fields -- 1 Introduction -- 2 Related Work and Background -- 3 From Infinite to Finite -- 3.1 The Extremes of the Value Range -- 3.2 Histogram Distribution -- 4 Analysis and Visualization of Percolation Curve Ensembles -- 4.1 Analysis of a Single Percolation Curve -- 4.2 Analysis of Percolation Curve Ensembles -- 5 Experiments -- 5.1 Randomness and Structure: Gaussian Random Fields -- 5.2 Turbulent Flow: Duct Data Set -- 6 Conclusions and Future Work -- References -- Distributed Task-Parallel Topology-Controlled Volume Rendering -- 1 Introduction -- 2 Related Work -- 3 System Design -- 4 Implementation -- 4.1 Merge -- 4.2 Simplify -- 4.3 Update -- 4.4 Branch Decomposition Assembly -- 4.5 Transfer Function Assignment -- 4.6 Rendering -- 5 Results -- 5.1 Experimental Design -- 5.2 General Observations.
5.3 Algorithm Validation -- 5.4 Strong Scaling -- 5.5 Weak Scaling -- 6 Conclusion -- References -- Topology-Based Feature Design and Tracking for Multi-center Cyclones -- 1 Introduction -- 2 Background -- 3 Full Tracking Graph Computation -- 4 Feature Definition and Tracking of Cyclonic Systems -- 5 Implementation Details -- 6 Case Study -- 7 Conclusion and Discussion -- References -- Using Contour Trees in the Analysis and Visualization of Radio Astronomy Data Cubes -- 1 Introduction -- 2 Science Case -- 3 Technical Background -- 4 Application Development Process -- 4.1 Designing to Serve the ALMA Community -- 5 Software Design -- 5.1 Visual Elements -- 5.2 Interaction Process -- 6 Case Studies -- 6.1 Ghost of Mirach Galaxy Data Set -- 6.2 CMZ Data Set -- 7 Discussion -- References -- Part II: Topological Methods in Complex Fields - Flow Fields, Tensor Fields, and Multi-fields -- Objective Finite-Time Flow Topology from Flowmap Expansion and Contraction -- 1 Introduction -- 2 Related Work -- 2.1 Classic Steady Vector Field Topology -- 2.2 Streamlines vs. Pathlines -- 2.3 Reference Frames -- 2.4 Lagrangian Coherent Structures -- 2.5 Time-Dependent Saddles -- 3 Intuitive Approach -- 4 Theory -- 4.1 Mathematical Definition -- 4.2 Relation to the Lagrangian Definition -- 4.3 Objectivity -- 4.4 Linear Approximation -- 4.5 Strength -- 4.6 Weighting Related to FTLE -- 4.7 Separatrices -- 5 Experiments -- 6 Discussion -- 7 Conclusion -- References -- Coreline Criteria for Inertial Particle Motion -- 1 Introduction -- 2 Related Work -- 2.1 Galilean Invariance -- 2.2 Inertial Particle Motion -- 2.3 Vortex Corelines of Massless Flows -- 2.4 Vortex Corelines of Inertial Particles -- 3 Vortex Coreline Criteria for Inertial Particles -- 3.1 Generalized Inertial Particle Motion -- 3.2 Inertial Motion in Steady Frame -- 3.3 First-Order Corelines. 3.4 Second-Order Corelines -- 4 Implementation -- 5 Results -- 5.1 Comparison of Inertial Particle Parameters -- 5.2 Comparison of Inertial Particle Models -- 5.3 Second-Order Corelines in 3D -- 5.4 Memory Consumption and Performance -- 5.5 Discussion -- 6 Conclusion -- Appendix 1 - Derivation of First-order 3D Criterion -- Appendix 2 - Tracer Particles as Limit Case -- References -- Implicit Visualization of 2D Vector Field Topology for Periodic Orbit Detection -- 1 Introduction -- 2 Related Work -- 3 Motivation -- 4 Method -- 5 Algorithm -- 5.1 Integration -- 5.2 Refinement -- 5.3 Implementation -- 6 Results -- 6.1 Rotated Flow -- 6.2 Buoyant Flow -- 6.3 Buoyant Flow II -- 6.4 Discussion -- 7 Conclusion -- References -- Visually Evaluating the Topological Equivalence of Bounded Bivariate Fields -- 1 Introduction -- 2 Related Work in Visualization -- 3 Set-Up -- 3.1 The mathcalB+-Equivalence and Fiber Topology -- 3.2 Invariants -- 4 Reeb Space Visualization and Computation -- 4.1 Visualization -- 4.2 Computation -- 5 Invariants for Bounded Map Germs -- 6 Outcome -- 6.1 Comparing Forms of Equivalence Through Visual Investigation -- 6.2 Germs of Corank 2 -- 7 Discussion -- 8 Conclusion -- References -- Topological Feature Search in Time-Varying Multifield Data -- 1 Introduction -- 2 Related Work -- 3 Background -- 3.1 Histogram and Isosurface Statistics, Continuous Scatter Plot -- 3.2 Multifield Topology and Jacobi Set -- 3.3 Reeb Space and Joint Contour Net -- 3.4 Histogram Distance Measures -- 4 Our Method -- 4.1 Fiber-Component Distribution over the Range Space -- 4.2 Distance Between Two Fiber-Component Distributions -- 4.3 Weighted Distance for the Singular Values -- 4.4 Metric Space Properties of the Distance Measures -- 5 Implementation -- 6 Applications -- 6.1 Synthetic Data -- 6.2 Plutonium Atom Dataset -- 6.3 Fermium Atom Dataset. 6.4 Chemistry Data: Pt-CO Bond -- 7 Single Scalar Field vs. Multifield -- 8 Conclusions and Future Work -- References -- Tensor Fields for Data Extraction from Chart Images: Bar Charts and Scatter Plots -- 1 Introduction -- 2 Related Work -- 3 Background on Local Geometric Descriptors -- 4 Our Proposed Method -- 5 Experiments and Results -- 6 Conclusions -- References -- Part III: Topology for Geometric Data -- A Fast Approximate Skeleton with Guarantees for Any Cloud of Points in a Euclidean Space -- 1 Introduction: Reconstructions from Unorganized Clouds -- 2 Basic Definitions and a Review of the Related Past Work -- 3 A New Tree core(C) Defined for Any Point Cloud CsubsetmathbbRm -- 4 ASk(C): Approximate Skeleton of a Cloud CsubsetmathbbRm -- 5 Comparisons of Five Algorithms on Real and Synthetic Data -- 6 Conclusions and a Discussion of the Approximate Skeleton -- References -- Topologically Robust B-spline Reconstruction of Fibers from 3D Images -- 1 Introduction -- 2 Related Work -- 3 Pipeline -- 4 B-Spline Approximation -- 4.1 B-Spline Surface Notation -- 4.2 Single B-Spline Surface Approximation -- 4.3 Constructing a Continuous Surface Model -- 5 Results -- 6 Conclusions -- References -- Part IV: Overview Articles, Software and Viewpoints -- Introduction to Vector Field Topology -- 1 Introduction -- 2 Steady Vector Fields -- 2.1 Two-Dimensional Flows -- 2.2 Three-Dimensional Flows -- 2.3 Remarks -- 3 Unsteady Flows -- 3.1 Streamline-Oriented Topology -- 3.2 Pathline-Oriented Topology -- 4 Concepts -- 4.1 Reference Frame Transformation -- 4.2 Reference Frame Invariance -- 4.3 Topology in Steady Reference Frames -- 4.4 High-Dimensional Flows -- 4.5 Uncertainty -- 5 Outlook -- References -- An Overview of the Topology ToolKit -- 1 Introduction -- 2 Scalar Data -- 3 Bivariate Scalar Data -- 4 Uncertain Scalar Data -- 5 Time-Varying Scalar Data. 6 High-Dimensional Point Cloud Data -- 7 In Situ Topological Analysis -- 8 Convenience -- 9 Conclusion and Perspectives -- References -- Implementing Persistence-Based Clustering of Point Clouds in the Topology ToolKit -- 1 Introduction -- 1.1 Contributions -- 2 Related Work -- 3 Software Design Overview -- 4 Computing Scalar Fields from Point Clouds -- 4.1 Parameter Setting -- 5 Persistence-Based Clustering -- 5.1 User Options -- 5.2 Automatic Parameter Setting -- 6 Experimental Results -- 6.1 Automatic Feature Detection -- 6.2 Comparison Against Other Clustering Methods -- 7 Discussion -- References -- Report of the TopoInVis TTK Hackathon: Experiences, Lessons Learned, and Perspectives -- 1 Introduction -- 2 Organization -- 2.1 Preparation -- 2.2 Program -- 3 Results -- 3.1 Packaging -- 3.2 Vector Field Robustness Module -- 3.3 Extending the Integration of TTK in Inviwo -- 3.4 Periodic Grids -- 4 Conclusion -- 4.1 Workgroup Results -- 4.2 Organizational Aspects -- 4.3 TTK Development Directions -- References. |
| Record Nr. | UNISA-996466401703316 |
| Cham, Switzerland : , : Springer, , [2021] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. di Salerno | ||
| ||
When form becomes substance : power of gestures, diagrammatical intuition, and phenomenology of space / / edited by Luciano Boi, Carlos Lobo
| When form becomes substance : power of gestures, diagrammatical intuition, and phenomenology of space / / edited by Luciano Boi, Carlos Lobo |
| Pubbl/distr/stampa | Cham, Switzerland : , : Birkhäuser, , [2022] |
| Descrizione fisica | 1 online resource (607 pages) |
| Disciplina | 001.4226 |
| Soggetto topico |
Charts, diagrams, etc
Information visualization Science - Philosophy Visualització de la informació Diagrames Filosofia de la ciència Fenomenologia |
| Soggetto genere / forma | Llibres electrònics |
| ISBN | 3-030-83125-6 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Intro -- Introduction -- Topological Visualisation, or How to Apprehend the Invisible -- Feynman Diagrams: A New Way Forward in Theoretical Physics -- Diagrammatics and Invariants in Knot and Braid Theory -- Philosophical and Scientific Implications -- Diagrammatics and Category Theory -- A French Singularity in Epistemological Field: Gilles Châtelet -- Phenomenology of Space (and Time) and Diagrammatic Epistemology -- Towards a "Diagrammatic Critique of Aesthetics" -- Acknowledgments -- Contents -- Part I Logic, Forms and Diagrams -- The Semiotics of Laws of Form -- Introduction -- Finding Distinction -- Finding Primary Arithmetic -- Finding Logic -- Finding Mathematics -- The Arctic Essay -- Epilogue -- References -- Can We "Show" the Correctness of Reasoning? On the Role of Diagrammatic Spatialization in Logical Justification -- Introduction -- The Eulerian Thesis: The Logical Correctness of the Diagrams "Jumps to the Eyes" -- Determining the Logical Framework of Our Research -- The Late Emergence of "Analytical" Logic Diagrams in a Pedagogical Context -- First Section: The Cognitive Advantages of the Diagrammatic Method -- Second Section: Can Diagrams Be Given the Task of Validating Reasoning? -- Third Section: Can a Diagram Show ("donner à voir") the Nature of a Proposition or the Correctness of a Reasoning? -- Back to Euler -- Showing the Nature of a Proposition -- Showing the Correctness of a Reasoning -- Some Remarks on the Relationship Between the Principles of Logic and Spatiality in Syllogistic (From Aristotle to Hamilton) -- Conclusion: Summary and Discussion -- References -- Articles and Monographs -- Proceedings of International Colloquia -- Catégorification et méthode -- Le polynôme de Jones -- La catégorification du polynôme de Jones -- La méthode de catégorification -- La théorie topologique quantique des champs.
Diagrammes et méthode -- Référenes -- Part II Geometrical Spaces and Topological Knots, Old and New -- Which Came First, the Circle or the Wheel? From Idea (δεα) to Concrete Construction -- Introduction -- Geometric Ideas and their Diagrams -- Digital Fabrication -- Geometry in Higher Dimension -- Bibliography -- Sitography -- The Classical Style in Contemporary Geometry: Views from a Person Working in the Field -- Introduction -- Fragments of Basic Algebraic Geometry -- Sterographic Projections in Dimension 1 and 2 (Figs. 4 and 5) -- Origins of Birational Geometry and Classification -- Cremona Transformations (Fig. 6) -- de Jonquiéres Transformations (Fig. 8) -- Classical Problems and Rational Parametrizations: Curves and Surfaces -- Classical Problems and Rational Parametrizations: Cubics -- The Classical Turn in Algebraic Geometry -- References -- Knots, Diagrams and Kids' Shoelaces. On Space and their Forms -- Introductive Remarks: Shoelaces, Knots, and the Intuition of Space -- Exploring and Visualizing 3-manifols and the Importance of Topology -- Equivalence of Images and of Forms: Manifolds, Knots and Diagrams -- Embeddings and Isotopies -- Mathematical Propaedeutic for the Understanding of Knots -- Knots and Links: Equivalence, Invariants and the Knot Complement -- The Alexander and Jones Polynomials -- Crossing Changes of Knots -- Back to Classical Invariants of Knots and Links -- Historical Note on Knots and their Diagrams -- Equivalence of Knots and Links -- From the Alexander Polynomial to Seifert Surfaces for Knots -- Reidemeister Moves and Classical Knot Invariants -- Dehn Surgery of Knots and his Work on Knot Theory and 3-dimensional Manifolds -- The Fundamental Group of Knots and Links -- Invariants of 3-manifolds and Hyperbolic Knots -- The Importance of the Linking Number in Molecular Biology. Geometrical and Topological Properties of the Double Helix and Supercoiling -- Knots, Links, and Topological Quantum Field Theories: An Overview -- Knots and Dynamics Systems -- The Energy of Knots -- References -- Part III Diagrams, Graphs and Representation -- Diagrammes planaires qui représentent des objets de dimension 1, 2, 3 et 4 -- Problème de classification -- Approche combinatoire -- Noeuds (dimension 1) -- Surfaces (dimension 2) -- Codage planaire des surfaces -- Variétés de dimension 3 -- Polyèdres spéciaux -- Polyèdres spéciaux épaississable -- Reconstruction -- Codage graphique -- Mouvements locaux -- Calcul graphique -- Variétés de dimension 4 -- Codage graphique des ombres -- References -- From Singularities to Graphs -- Introduction -- What Is the Meaning of Such Graphs? -- What Does it Mean to Resolve the Singularities of an Algebraic Surface? -- Representations of Surface Singularities Around 1900 -- Du Val's Singularities, Coxeter's Diagrams and the Birth of Dual Graphs -- Mumford's Paper on the Links of Surface Singularities -- Waldhausen's Graph Manifolds and Neumann's Calculus with Graphs -- Conclusion -- References -- Part IV Diagrams, Physical Forces and Path Integrals -- Mathematical Aspects of Feynman Path Integrals, Divergences, Quantum Fields and Diagrams, and Some More General Reflections -- Introduction -- The Case of Quantum Fields -- Divergences and Diagrams -- Some Conclusions, Philosophical Remarks and Reflections -- References -- Some Remarks on Penrose Diagrams -- Introduction -- Reflexions on the Different Notions of Dimensions -- The Notion of a Function -- A Second Kind of Diagram -- The Introduction of Infinity -- Some Complements to Conformal Geometry and General Relativity -- Cosmology and Conformal Diagrams -- Philosophical Comments -- Final Complements -- References. Part V Phenomenology in and of Mathematical Diagrams -- Phénoménologie, représentations, combinatoire -- Représentations géométriques: une approche classique -- Représentations géométriques: l'approche mathématique -- Représentations géométriques: l'approche phénoménologique -- Partitions non croisées -- Représentations graphiques -- De l'usage des représentations diagrammatiques. -- De la portée des représentations diagrammatiques -- Références -- Husserl, Intentionality and Mathematics: Geometry and Category Theory -- Intentionality and Space -- The Idea of a Mannigfaltigkeitslehre -- Space and Time in Phenomenology -- Issues of Foundation in Phenomenology through Category Theory -- References -- Diagrams of Time and Syntaxes of Consciousness: A Contribution to the Phenomenology of Visualization -- The Time Diagram Has Been Touched Upon (Varela, Weyl) -- Phenomenological Elucidation of the Subjective Resources of the Mathematical Construction of Linear Time -- The Specious Time of Neurophenomenology -- Phenomenology of the Use of Diagrams in Science Including Phenomenology -- Diagrammatic Underpinnings of Scientific Knowledge -- The Use of Diagrams in Phenomenology -- A Second Example: Intersubjective Constitution and Relativisation of the Original Coordinate System -- Symbolisation and Formal Writing in Phenomenology -- Symbolisation and Diagrammatisation of Intentional Analysis -- Intentionality as a System of Modification and Its Symbolism -- Analysis of the System of Continuous, i.e. Temporal Changes in 1913 -- An Example of Moving from an Analysis to a Mathematical Model -- Phenomenology and Diagrammatic of Lived Time -- The Dialectic of Phenomenological Reflection, Symbolisation and Diagram Construction Between 1905 and 1918 -- Diagrams of Retentions and Drafts of a Chronometry. From Infinitesimal Analysis to Complex Analysis of Phenomenological Time -- Gaps in the 1905 Diagrams -- An Important Gap in the Initial Retention Diagram: The Meaning of the Zero -- Diagrams of the on-in-the-Other (or Nesting) and Intertwining of Retentions and Protentions -- Diagrams in Reflection -- Conclusion: Perspectives for a General Theory of Possible Times -- References -- Part VI Diagrams, Gestures and Subjectivity -- A Topological Analysis of Space-Time-Consciousness: Self, Self-Self, Self-Other -- Knot Logic: Linking as Mutuality -- Belongingness: Not-I, Knot-I -- Self-Mutuality as Mutuality: Mutuality as Self-Mutuality -- Plurality of Now's -- Music -- Kauffman's Universe and HYK's Self -- References -- Gestes, diagrammes et subjectivité -- Un exemple de diagramme social (et ses gestes) -- Prendre sur soi, le 0-milieu -- Rapport à soi, la verticale -- Tourner autour de soi, le trou -- Le virtuel-Temps événementiel -- Some Prolegomena for a Contemporary "Critique of Imagination" -- Six Guiding Theses -- Imagination: Common Sense Notions -- Imagination: Philosophic Insights from Leibniz, Hume, Kant and Husserl -- Imagination: Hints from Neuroscience -- Bibliography -- Le langage diagrammatique au-delà de la différencephénoménologique -- Introduction -- La première forme canonique de notre rapport au monde : la signifiance -- De la signifiance au calcul : brève histoire de la différence phénoménologique -- Conclusion -- Part VII Diagrams: from Mathematics to Aesthetics -- Ars diagrammaticae -- Le phénomène de compactification -- Du diagramme comme preuve par l'image -- Quelques précisions maintenant concernant la désintrication des concepts d'Image, de Figure & -- de Diagramme. -- Grid Diagram: Deleuze's Aesthetics Applied to Maggs's Photographs -- Grid as Diagram in Portraits -- Faciality of Portraits -- Grid and Virtuality. Dada Diagrams/Dada Portraits. |
| Record Nr. | UNINA-9910633938303321 |
| Cham, Switzerland : , : Birkhäuser, , [2022] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
When form becomes substance : power of gestures, diagrammatical intuition, and phenomenology of space / / edited by Luciano Boi, Carlos Lobo
| When form becomes substance : power of gestures, diagrammatical intuition, and phenomenology of space / / edited by Luciano Boi, Carlos Lobo |
| Pubbl/distr/stampa | Cham, Switzerland : , : Birkhäuser, , [2022] |
| Descrizione fisica | 1 online resource (607 pages) |
| Disciplina | 001.4226 |
| Soggetto topico |
Charts, diagrams, etc
Information visualization Science - Philosophy Visualització de la informació Diagrames Filosofia de la ciència Fenomenologia |
| Soggetto genere / forma | Llibres electrònics |
| ISBN | 3-030-83125-6 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Intro -- Introduction -- Topological Visualisation, or How to Apprehend the Invisible -- Feynman Diagrams: A New Way Forward in Theoretical Physics -- Diagrammatics and Invariants in Knot and Braid Theory -- Philosophical and Scientific Implications -- Diagrammatics and Category Theory -- A French Singularity in Epistemological Field: Gilles Châtelet -- Phenomenology of Space (and Time) and Diagrammatic Epistemology -- Towards a "Diagrammatic Critique of Aesthetics" -- Acknowledgments -- Contents -- Part I Logic, Forms and Diagrams -- The Semiotics of Laws of Form -- Introduction -- Finding Distinction -- Finding Primary Arithmetic -- Finding Logic -- Finding Mathematics -- The Arctic Essay -- Epilogue -- References -- Can We "Show" the Correctness of Reasoning? On the Role of Diagrammatic Spatialization in Logical Justification -- Introduction -- The Eulerian Thesis: The Logical Correctness of the Diagrams "Jumps to the Eyes" -- Determining the Logical Framework of Our Research -- The Late Emergence of "Analytical" Logic Diagrams in a Pedagogical Context -- First Section: The Cognitive Advantages of the Diagrammatic Method -- Second Section: Can Diagrams Be Given the Task of Validating Reasoning? -- Third Section: Can a Diagram Show ("donner à voir") the Nature of a Proposition or the Correctness of a Reasoning? -- Back to Euler -- Showing the Nature of a Proposition -- Showing the Correctness of a Reasoning -- Some Remarks on the Relationship Between the Principles of Logic and Spatiality in Syllogistic (From Aristotle to Hamilton) -- Conclusion: Summary and Discussion -- References -- Articles and Monographs -- Proceedings of International Colloquia -- Catégorification et méthode -- Le polynôme de Jones -- La catégorification du polynôme de Jones -- La méthode de catégorification -- La théorie topologique quantique des champs.
Diagrammes et méthode -- Référenes -- Part II Geometrical Spaces and Topological Knots, Old and New -- Which Came First, the Circle or the Wheel? From Idea (δεα) to Concrete Construction -- Introduction -- Geometric Ideas and their Diagrams -- Digital Fabrication -- Geometry in Higher Dimension -- Bibliography -- Sitography -- The Classical Style in Contemporary Geometry: Views from a Person Working in the Field -- Introduction -- Fragments of Basic Algebraic Geometry -- Sterographic Projections in Dimension 1 and 2 (Figs. 4 and 5) -- Origins of Birational Geometry and Classification -- Cremona Transformations (Fig. 6) -- de Jonquiéres Transformations (Fig. 8) -- Classical Problems and Rational Parametrizations: Curves and Surfaces -- Classical Problems and Rational Parametrizations: Cubics -- The Classical Turn in Algebraic Geometry -- References -- Knots, Diagrams and Kids' Shoelaces. On Space and their Forms -- Introductive Remarks: Shoelaces, Knots, and the Intuition of Space -- Exploring and Visualizing 3-manifols and the Importance of Topology -- Equivalence of Images and of Forms: Manifolds, Knots and Diagrams -- Embeddings and Isotopies -- Mathematical Propaedeutic for the Understanding of Knots -- Knots and Links: Equivalence, Invariants and the Knot Complement -- The Alexander and Jones Polynomials -- Crossing Changes of Knots -- Back to Classical Invariants of Knots and Links -- Historical Note on Knots and their Diagrams -- Equivalence of Knots and Links -- From the Alexander Polynomial to Seifert Surfaces for Knots -- Reidemeister Moves and Classical Knot Invariants -- Dehn Surgery of Knots and his Work on Knot Theory and 3-dimensional Manifolds -- The Fundamental Group of Knots and Links -- Invariants of 3-manifolds and Hyperbolic Knots -- The Importance of the Linking Number in Molecular Biology. Geometrical and Topological Properties of the Double Helix and Supercoiling -- Knots, Links, and Topological Quantum Field Theories: An Overview -- Knots and Dynamics Systems -- The Energy of Knots -- References -- Part III Diagrams, Graphs and Representation -- Diagrammes planaires qui représentent des objets de dimension 1, 2, 3 et 4 -- Problème de classification -- Approche combinatoire -- Noeuds (dimension 1) -- Surfaces (dimension 2) -- Codage planaire des surfaces -- Variétés de dimension 3 -- Polyèdres spéciaux -- Polyèdres spéciaux épaississable -- Reconstruction -- Codage graphique -- Mouvements locaux -- Calcul graphique -- Variétés de dimension 4 -- Codage graphique des ombres -- References -- From Singularities to Graphs -- Introduction -- What Is the Meaning of Such Graphs? -- What Does it Mean to Resolve the Singularities of an Algebraic Surface? -- Representations of Surface Singularities Around 1900 -- Du Val's Singularities, Coxeter's Diagrams and the Birth of Dual Graphs -- Mumford's Paper on the Links of Surface Singularities -- Waldhausen's Graph Manifolds and Neumann's Calculus with Graphs -- Conclusion -- References -- Part IV Diagrams, Physical Forces and Path Integrals -- Mathematical Aspects of Feynman Path Integrals, Divergences, Quantum Fields and Diagrams, and Some More General Reflections -- Introduction -- The Case of Quantum Fields -- Divergences and Diagrams -- Some Conclusions, Philosophical Remarks and Reflections -- References -- Some Remarks on Penrose Diagrams -- Introduction -- Reflexions on the Different Notions of Dimensions -- The Notion of a Function -- A Second Kind of Diagram -- The Introduction of Infinity -- Some Complements to Conformal Geometry and General Relativity -- Cosmology and Conformal Diagrams -- Philosophical Comments -- Final Complements -- References. Part V Phenomenology in and of Mathematical Diagrams -- Phénoménologie, représentations, combinatoire -- Représentations géométriques: une approche classique -- Représentations géométriques: l'approche mathématique -- Représentations géométriques: l'approche phénoménologique -- Partitions non croisées -- Représentations graphiques -- De l'usage des représentations diagrammatiques. -- De la portée des représentations diagrammatiques -- Références -- Husserl, Intentionality and Mathematics: Geometry and Category Theory -- Intentionality and Space -- The Idea of a Mannigfaltigkeitslehre -- Space and Time in Phenomenology -- Issues of Foundation in Phenomenology through Category Theory -- References -- Diagrams of Time and Syntaxes of Consciousness: A Contribution to the Phenomenology of Visualization -- The Time Diagram Has Been Touched Upon (Varela, Weyl) -- Phenomenological Elucidation of the Subjective Resources of the Mathematical Construction of Linear Time -- The Specious Time of Neurophenomenology -- Phenomenology of the Use of Diagrams in Science Including Phenomenology -- Diagrammatic Underpinnings of Scientific Knowledge -- The Use of Diagrams in Phenomenology -- A Second Example: Intersubjective Constitution and Relativisation of the Original Coordinate System -- Symbolisation and Formal Writing in Phenomenology -- Symbolisation and Diagrammatisation of Intentional Analysis -- Intentionality as a System of Modification and Its Symbolism -- Analysis of the System of Continuous, i.e. Temporal Changes in 1913 -- An Example of Moving from an Analysis to a Mathematical Model -- Phenomenology and Diagrammatic of Lived Time -- The Dialectic of Phenomenological Reflection, Symbolisation and Diagram Construction Between 1905 and 1918 -- Diagrams of Retentions and Drafts of a Chronometry. From Infinitesimal Analysis to Complex Analysis of Phenomenological Time -- Gaps in the 1905 Diagrams -- An Important Gap in the Initial Retention Diagram: The Meaning of the Zero -- Diagrams of the on-in-the-Other (or Nesting) and Intertwining of Retentions and Protentions -- Diagrams in Reflection -- Conclusion: Perspectives for a General Theory of Possible Times -- References -- Part VI Diagrams, Gestures and Subjectivity -- A Topological Analysis of Space-Time-Consciousness: Self, Self-Self, Self-Other -- Knot Logic: Linking as Mutuality -- Belongingness: Not-I, Knot-I -- Self-Mutuality as Mutuality: Mutuality as Self-Mutuality -- Plurality of Now's -- Music -- Kauffman's Universe and HYK's Self -- References -- Gestes, diagrammes et subjectivité -- Un exemple de diagramme social (et ses gestes) -- Prendre sur soi, le 0-milieu -- Rapport à soi, la verticale -- Tourner autour de soi, le trou -- Le virtuel-Temps événementiel -- Some Prolegomena for a Contemporary "Critique of Imagination" -- Six Guiding Theses -- Imagination: Common Sense Notions -- Imagination: Philosophic Insights from Leibniz, Hume, Kant and Husserl -- Imagination: Hints from Neuroscience -- Bibliography -- Le langage diagrammatique au-delà de la différencephénoménologique -- Introduction -- La première forme canonique de notre rapport au monde : la signifiance -- De la signifiance au calcul : brève histoire de la différence phénoménologique -- Conclusion -- Part VII Diagrams: from Mathematics to Aesthetics -- Ars diagrammaticae -- Le phénomène de compactification -- Du diagramme comme preuve par l'image -- Quelques précisions maintenant concernant la désintrication des concepts d'Image, de Figure & -- de Diagramme. -- Grid Diagram: Deleuze's Aesthetics Applied to Maggs's Photographs -- Grid as Diagram in Portraits -- Faciality of Portraits -- Grid and Virtuality. Dada Diagrams/Dada Portraits. |
| Record Nr. | UNISA-996499866903316 |
| Cham, Switzerland : , : Birkhäuser, , [2022] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. di Salerno | ||
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