VMEXT : A Visualization Tool for Mathematical Expression Trees
VMEXT : A Visualization Tool for Mathematical Expression Trees
Date
2017
Authors
Editors
Journal ISSN
Electronic ISSN
ISBN
Bibliographical data
Publisher
Series
URI (citable link)
DOI (citable link)
International patent number
Link to the license
EU project number
Project
Open Access publication
Collections
Title in another language
Publication type
Contribution to a conference collection
Publication status
Published
Published in
Intelligent Computer Mathematics : 10th International Conference, CICM 2017, Edinburgh, UK, July 17-21, 2017, Proceedings / Geuvers, Herman et al. (ed.). - Cham : Springer International Publishing, 2017. - (Lecture Notes in Artificial Intelligence ; 10383). - pp. 340-355. - ISSN 0302-9743. - eISSN 1611-3349. - ISBN 978-3-319-62074-9
Abstract
Mathematical expressions can be represented as a tree consisting of terminal symbols, such as identifiers or numbers (leaf nodes), and functions or operators (non-leaf nodes). Expression trees are an important mechanism for storing and processing mathematical expressions as well as the most frequently used visualization of the structure of mathematical expressions. Typically, researchers and practitioners manually visualize expression trees using general-purpose tools. This approach is laborious, redundant, and error-prone. Manual visualizations represents a user’s notion of what the markup of an expression should be, but not necessarily what the actual markup is. This paper presents VMEXT – a free and open source tool to directly visualize expression trees from parallel Open image in new window . VMEXT simultaneously visualizes the presentation elements and the semantic structure of mathematical expressions to enable users to quickly spot deficiencies in the Content Open image in new window markup that does not affect the presentation of the expression. Identifying such discrepancies previously required reading the verbose and complex Open image in new window markup. VMEXT also allows one to visualize similar and identical elements of two expressions. Visualizing expression similarity can support developers in designing retrieval approaches and enable improved interaction concepts for users of mathematical information retrieval systems. We demonstrate VMEXT’s visualizations in two web-based applications. The first application presents the visualizations alone. The second application shows a possible integration of the visualizations in systems for mathematical knowledge management and mathematical information retrieval. The application converts Open image in new window input to parallel Open image in new window , computes basic similarity measures for mathematical expressions, and visualizes the results using VMEXT.
Summary in another language
Subject (DDC)
004 Computer Science
Keywords
Conference
10th Conference on Intelligent Computer Mathematics : CICM 2017, Jul 17, 2017 - Jul 21, 2017, Edinburgh, Scotland
Review
undefined / . - undefined, undefined. - (undefined; undefined)
Cite This
ISO 690
SCHUBOTZ, Moritz, Norman MEUSCHKE, Thomas HEPP, Howard S. COHL, Bela GIPP, 2017. VMEXT : A Visualization Tool for Mathematical Expression Trees. 10th Conference on Intelligent Computer Mathematics : CICM 2017. Edinburgh, Scotland, Jul 17, 2017 - Jul 21, 2017. In: GEUVERS, Herman, ed. and others. Intelligent Computer Mathematics : 10th International Conference, CICM 2017, Edinburgh, UK, July 17-21, 2017, Proceedings. Cham:Springer International Publishing, pp. 340-355. ISSN 0302-9743. eISSN 1611-3349. ISBN 978-3-319-62074-9. Available under: doi: 10.1007/978-3-319-62075-6_24BibTex
@inproceedings{Schubotz2017VMEXT-41878, year={2017}, doi={10.1007/978-3-319-62075-6_24}, title={VMEXT : A Visualization Tool for Mathematical Expression Trees}, number={10383}, isbn={978-3-319-62074-9}, issn={0302-9743}, publisher={Springer International Publishing}, address={Cham}, series={Lecture Notes in Artificial Intelligence}, booktitle={Intelligent Computer Mathematics : 10th International Conference, CICM 2017, Edinburgh, UK, July 17-21, 2017, Proceedings}, pages={340--355}, editor={Geuvers, Herman}, author={Schubotz, Moritz and Meuschke, Norman and Hepp, Thomas and Cohl, Howard S. and Gipp, Bela} }
RDF
<rdf:RDF xmlns:dcterms="http://purl.org/dc/terms/" xmlns:dc="http://purl.org/dc/elements/1.1/" xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#" xmlns:bibo="http://purl.org/ontology/bibo/" xmlns:dspace="http://digital-repositories.org/ontologies/dspace/0.1.0#" xmlns:foaf="http://xmlns.com/foaf/0.1/" xmlns:void="http://rdfs.org/ns/void#" xmlns:xsd="http://www.w3.org/2001/XMLSchema#" > <rdf:Description rdf:about="https://kops.uni-konstanz.de/server/rdf/resource/123456789/41878"> <bibo:uri rdf:resource="https://kops.uni-konstanz.de/handle/123456789/41878"/> <dcterms:hasPart rdf:resource="https://kops.uni-konstanz.de/bitstream/123456789/41878/1/Schubotz_2-1jxndz7y6z46x4.pdf"/> <dc:date rdf:datatype="http://www.w3.org/2001/XMLSchema#dateTime">2018-03-21T11:12:32Z</dc:date> <dc:creator>Hepp, Thomas</dc:creator> <dc:creator>Gipp, Bela</dc:creator> <dc:contributor>Cohl, Howard S.</dc:contributor> <dcterms:abstract xml:lang="eng">Mathematical expressions can be represented as a tree consisting of terminal symbols, such as identifiers or numbers (leaf nodes), and functions or operators (non-leaf nodes). Expression trees are an important mechanism for storing and processing mathematical expressions as well as the most frequently used visualization of the structure of mathematical expressions. Typically, researchers and practitioners manually visualize expression trees using general-purpose tools. This approach is laborious, redundant, and error-prone. Manual visualizations represents a user’s notion of what the markup of an expression should be, but not necessarily what the actual markup is. This paper presents VMEXT – a free and open source tool to directly visualize expression trees from parallel Open image in new window . VMEXT simultaneously visualizes the presentation elements and the semantic structure of mathematical expressions to enable users to quickly spot deficiencies in the Content Open image in new window markup that does not affect the presentation of the expression. Identifying such discrepancies previously required reading the verbose and complex Open image in new window markup. VMEXT also allows one to visualize similar and identical elements of two expressions. Visualizing expression similarity can support developers in designing retrieval approaches and enable improved interaction concepts for users of mathematical information retrieval systems. We demonstrate VMEXT’s visualizations in two web-based applications. The first application presents the visualizations alone. The second application shows a possible integration of the visualizations in systems for mathematical knowledge management and mathematical information retrieval. The application converts Open image in new window input to parallel Open image in new window , computes basic similarity measures for mathematical expressions, and visualizes the results using VMEXT.</dcterms:abstract> <dcterms:title>VMEXT : A Visualization Tool for Mathematical Expression Trees</dcterms:title> <dc:creator>Meuschke, Norman</dc:creator> <dc:language>eng</dc:language> <dc:contributor>Gipp, Bela</dc:contributor> <dc:rights>terms-of-use</dc:rights> <foaf:homepage rdf:resource="http://localhost:8080/"/> <dspace:hasBitstream rdf:resource="https://kops.uni-konstanz.de/bitstream/123456789/41878/1/Schubotz_2-1jxndz7y6z46x4.pdf"/> <dcterms:rights rdf:resource="https://rightsstatements.org/page/InC/1.0/"/> <dc:creator>Schubotz, Moritz</dc:creator> <dcterms:issued>2017</dcterms:issued> <void:sparqlEndpoint rdf:resource="http://localhost/fuseki/dspace/sparql"/> <dc:contributor>Meuschke, Norman</dc:contributor> <dspace:isPartOfCollection rdf:resource="https://kops.uni-konstanz.de/server/rdf/resource/123456789/36"/> <dc:contributor>Hepp, Thomas</dc:contributor> <dcterms:available rdf:datatype="http://www.w3.org/2001/XMLSchema#dateTime">2018-03-21T11:12:32Z</dcterms:available> <dcterms:isPartOf rdf:resource="https://kops.uni-konstanz.de/server/rdf/resource/123456789/36"/> <dc:contributor>Schubotz, Moritz</dc:contributor> <dc:creator>Cohl, Howard S.</dc:creator> </rdf:Description> </rdf:RDF>
Internal note
xmlui.Submission.submit.DescribeStep.inputForms.label.kops_note_fromSubmitter
Examination date of dissertation
Method of financing
Comment on publication
Alliance license
Corresponding Authors der Uni Konstanz vorhanden
International Co-Authors
Bibliography of Konstanz
Yes