| Description |
1 online resource |
| Series |
Studies on the Semantic Web, 1868-1158 ; Volume 011 |
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Studies on the Semantic Web ; v. 11.
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| Contents |
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 |
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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 |
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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 |
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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 |
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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 |
| Summary |
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 individual research tasks, such as authoring, publishing, peer-review, or verification, instead of complex collaboration workflows. This work effectively enables their integration by bridging the document-oriented perspective of mathematical authoring and publishing, and the network perspective of threaded |
| Bibliography |
Includes bibliographical references |
| Notes |
Print version record |
| Subject |
Knowledge representation (Information theory)
|
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Semantic Web.
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Mathematics.
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OMDoc (Document markup language)
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Mathematics
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Knowledge representation (Information theory)
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Mathematics
|
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OMDoc (Document markup language)
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Semantic Web
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| Form |
Electronic book
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| ISBN |
1306284821 |
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9781306284820 |
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9781614993452 |
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1614993459 |
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