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Enabling Collaboration on Semiformal Mathematical Knowledge by Semantic Web Integration.

Mathematics is becoming increasingly collaborative, but software does not sufficiently support that: Social Web applications do not currently make mathematical knowledge accessible to automated agents that have a deeper understanding of mathematical structures. Such agents exist but focus on individ...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Lange, C.
Formato: Electrónico eBook
Idioma:Inglés
Publicado: IOS Press, 2011.
©2011
Colección:Studies on the Semantic Web ; v. 11.
Temas:
Acceso en línea:Texto completo
Tabla de Contenidos:
  • Title Page; Contents; Abstract; Acknowledgments; Part I. Introduction; Chapter 1. Web Collaboration on Mathematical Knowledge; Current Practices of Doing Mathematics
  • Enabling Management, Understanding, and Application of Mathematical Knowledge; Web 2.0 and Semantic Web in Science; Mathematics on the Web
  • State of the Art and Challenges; Collaborative Mathematics on the Web
  • Why Retry Now?; Challenges to be Addressed by a New MKM Infrastructure; Structure and Contribution of this Thesis; Part II. Knowledge Representation; Chapter 2. Representing Mathematical Knowledge
  • Structures of Mathematical KnowledgeRequirements for Reusably Representing and Exchanging Mathematical Knowledge; Knowledge Representation on the [Semantic] Web (State of the Art); Representing Semiformal Mathematical Knowledge (State of the Art); Designing an Improved Representation and Exchange Language; Chapter 3. Ontologies for Structures of Mathematical Knowledge; Overview of the Ontologies by Structural Dimension; Logical and Functional Structures, and Notation; Rhetorical and Document Structures; Metadata; The Application Environment; Discussions about Knowledge Items
  • Requirements for Extracting Structures from Semantic Markup to RDFRelated Work; Conclusion and Future Work; Chapter 4. Using Mathematical Markup for Implementing and Documenting Expressive Ontologies; Problem and Requirements Statement; State of the Art; Implementing and Documenting Heterogeneous Ontologies in OMDoc; Implementation of the OMDoc Ontology; Case Study: Reimplementing FOAF in OMDoc; Related Work; Conclusion and Future Work; Chapter 5. Multi-Dimensional Metadata Markup; The Metadata Syntax of OMDoc 1.2 (State of the Art); The new OMDoc+RDFa Metadata Framework; Related Work
  • ConclusionPart III. Services and their Integration; Chapter 6. Primitive Services for Managing Mathematical Knowledge; Tasks, Scenarios, and Required Primitive Services; Editing; Validating; Human- and Machine-Comprehensible Publishing; Information Retrieval; Arguing about Problems and their Solutions; Conclusion; Chapter 7. Integrating Assistive Services into Interactive Documents; State of the Art and Related Work; Requirements for Integrating Services into Documents; The JOBAD Architecture; In-Document Client Services; Symbol-based Client Services; Expression-based Client Services
  • Conclusion and Future WorkChapter 8. Transparent Translations in Knowledge Bases; Extracting Structures from Semantic Markup; Migration to More Expressive Languages; Coping with Different Representation Granularities on Import and Export; Recommendations for Running Translations Transparently; Conclusion; Chapter 9. The Semantic Wiki SWiM
  • An Integrated Collaboration Environment; Wikis and Semantic Wikis (State of the Art); Requirements Analysis and Design Decisions; Architecture; How SWiM Supports OpenMath CD Maintenance Workflows; Related Work; Conclusion and Future Work