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19 | 19 | <!-- SCHEMA.ORG METADATA --> |
20 | | -<script type="application/ld+json">{"@context":"https://schema.org","@type":"TechArticle","url":"https://mardi4nfdi.de/mathmoddb","image":"http://vowl.visualdataweb.org/webvowl/#iri=https://mardi4nfdi.de/mathmoddb","name":"MathModDB Ontology and Knowledge Graph for Mathematical Models", "headline":"MathModDB is a database of mathematical models developed by the Mathematical Research Data Initiative (MaRDI). MathModDB defines a data model with classes (Mathematical Model, Mathematical Formulation, Research Field, Research Problem, Quantity [Kind], [Computational] Task, Publication), object properties/relations, data properties and annotation properties as an ontology. This ontology is populated with individuals/data from various fields of applied mathematics, making it a knowledge graph.", "dateReleased":"Mon Feb 17 10:23:01 CET 2025", "version":"1.0.0", "license":"https://creativecommons.org/licenses/by/4.0/", "author":[{"@type":"Person","name":"Aurela Shehu (https://orcid.org/0000-0002-1994-0612), Weierstrass Institute Berlin for Applied Analysis and Stochastics (https://ror.org/00h1x4t21, https://isni.org/isni/000000010066936X)"},{"@type":"Person","name":"Björn Schembera (https://orcid.org/0000-0003-2860-6621), Universität Stuttgart (https://ror.org/04vnq7t77, https://isni.org/isni/0000000419369713)"},{"@type":"Person","name":"Burkhard Schmidt (https://orcid.org/0000-0002-9658-499X), Weierstrass Institute Berlin for Applied Analysis and Stochastics (https://ror.org/00h1x4t21, https://isni.org/isni/000000010066936X)"},{"@type":"Person","name":"Christine Biedinger (https://orcid.org/0009-0002-5082-8386), Fraunhofer Institute for Industrial Mathematics ITWM (https://ror.org/019hjw009)"},{"@type":"Person","name":"Jochen Fiedler (https://orcid.org/0000-0002-9176-780X), Fraunhofer Institute for Industrial Mathematics ITWM (https://ror.org/019hjw009)"},{"@type":"Person","name":"Marco Reidelbach (https://orcid.org/0000-0002-1919-1834), Zuse Institute Berlin (https://ror.org/02eva5865, https://isni.org/isni/000000011010926X)"},{"@type":"Person","name":"Thomas Koprucki (https://orcid.org/0000-0001-6235-9412), Weierstrass Institute Berlin for Applied Analysis and Stochastics (https://ror.org/00h1x4t21, https://isni.org/isni/000000010066936X)"}]}</script> |
| 20 | +<script type="application/ld+json">{"@context":"https://schema.org","@type":"TechArticle","url":"https://mardi4nfdi.de/mathmoddb","image":"http://vowl.visualdataweb.org/webvowl/#iri=https://mardi4nfdi.de/mathmoddb","name":"MathModDB Ontology and Knowledge Graph for Mathematical Models", "headline":"MathModDB is a database of mathematical models developed by the Mathematical Research Data Initiative (MaRDI). MathModDB defines a data model with classes (Mathematical Model, Mathematical Formulation, Research Field, Research Problem, Quantity [Kind], [Computational] Task, Publication), object properties/relations, data properties and annotation properties as an ontology. This ontology is populated with individuals/data from various fields of applied mathematics, making it a knowledge graph.", "dateReleased":"Wed Feb 19 09:15:41 CET 2025", "version":"1.0.0", "license":"https://creativecommons.org/licenses/by/4.0/", "author":[{"@type":"Person","name":"Aurela Shehu (https://orcid.org/0000-0002-1994-0612), Weierstrass Institute Berlin for Applied Analysis and Stochastics (https://ror.org/00h1x4t21, https://isni.org/isni/000000010066936X)"},{"@type":"Person","name":"Björn Schembera (https://orcid.org/0000-0003-2860-6621), Universität Stuttgart (https://ror.org/04vnq7t77, https://isni.org/isni/0000000419369713)"},{"@type":"Person","name":"Burkhard Schmidt (https://orcid.org/0000-0002-9658-499X), Weierstrass Institute Berlin for Applied Analysis and Stochastics (https://ror.org/00h1x4t21, https://isni.org/isni/000000010066936X)"},{"@type":"Person","name":"Christine Biedinger (https://orcid.org/0009-0002-5082-8386), Fraunhofer Institute for Industrial Mathematics ITWM (https://ror.org/019hjw009)"},{"@type":"Person","name":"Jochen Fiedler (https://orcid.org/0000-0002-9176-780X), Fraunhofer Institute for Industrial Mathematics ITWM (https://ror.org/019hjw009)"},{"@type":"Person","name":"Marco Reidelbach (https://orcid.org/0000-0002-1919-1834), Zuse Institute Berlin (https://ror.org/02eva5865, https://isni.org/isni/000000011010926X)"},{"@type":"Person","name":"Thomas Koprucki (https://orcid.org/0000-0001-6235-9412), Weierstrass Institute Berlin for Applied Analysis and Stochastics (https://ror.org/00h1x4t21, https://isni.org/isni/000000010066936X)"}]}</script> |
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22 | 22 | <script src="resources/jquery.js"></script> |
23 | 23 | <script src="resources/marked.min.js"></script> |
@@ -108,11 +108,11 @@ <h3>Motivation & Introduction</h3> |
108 | 108 |
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109 | 109 | <p>Proper documentation and storage of research data, adhering to FAIR principles, are crucial for reproducibility and scientific integrity. |
110 | 110 | Applied mathematics, producing diverse numerical and symbolic data, heavily relies on models that must be well-documented for replication and future use. |
111 | | -Here, we present MathModDB, an ontology for mathematical models, along with a knowledge graph containing. The work is conducted within the <a href="https://www.nfdi.de/" target="_blank">NFDI project</a> <i><a href="https://www.mardi4nfdi.de" target=”_blank”>Mathematical Research Data Initiative</a></i> (MaRDI). |
| 111 | +Here, we present MathModDB, an ontology for mathematical models, along with a knowledge graph containing. The work is conducted within the <a href="https://www.nfdi.de/" target="_blank">NFDI project</a> entitled <i><a href="https://www.mardi4nfdi.de" target=”_blank”>Mathematical Research Data Initiative</a></i> (MaRDI). |
112 | 112 | </p> |
113 | 113 | <h3>Structure</h3> |
114 | 114 | <p> |
115 | | -The ontology consists of the classes <i>Mathematical Model</i>, <i>Mathematical Formulation</i>, <i>[Computational] Task</i>, <i>Quantity [Kind]</i>, <i>Research Field</i> and <i>Research Problem</i>. |
| 115 | +The ontology consists of the classes <i>Mathematical Model</i>, <i>Mathematical Formulation</i>, <i>Computational Task</i>, <i>Quantity [Kind]</i>, <i>Research Field</i> and <i>Research Problem</i>. |
116 | 116 |
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117 | 117 | The structure of the ontology, in conjunction with the neighboring knowledge graph for mathematical algorithms <a href="https://mathalgodb.mardi4nfdi.de/" target=”_blank”>MathAlgoDB</a> is displayed in the image below: |
118 | 118 | </p> |
@@ -149,13 +149,14 @@ <h3>Structure</h3> |
149 | 149 | <td>The kind of quantity, e.g. the abstract, generalized concept of a quantity. Typically, it could be chosen from an established, controlled vocabulary of quantityKinds, such as QUDT, IEC, .... Note that the kind of a quantity cannot be generalized by another (kind of a) quantity.</td> |
150 | 150 | </tr> |
151 | 151 | <tr> |
152 | | -<td>Task</td> |
153 | | -<td>A specific task associated with a mathematical model. The subclasses of this superclass should reflect their differences, e.g. a computational task or a task of doing a mathematical analysis (the latter is not yet implemented).</td> |
154 | | -</tr> |
155 | | -<tr> |
156 | 152 | <td>Computational Task</td> |
157 | 153 | <td>A specific computational task associated with a mathematical model. Typically, various tasks differ from each other by the choice of given quantities (input), unknown quantities (output), parameters or constants as well as boundary conditions, initial conditions and/or final conditions.</td> |
158 | 154 | </tr> |
| 155 | +<tr> |
| 156 | +<td>Publication</td> |
| 157 | +<td>A publication that reports original empirical and theoretical work in the sciences. This class is used as a proxy class to encode semantic information how a model, quantity, ... is surveyed, analysed, ... in a publication.</td> |
| 158 | +</tr> |
| 159 | + |
159 | 160 | </tbody> |
160 | 161 | </table> |
161 | 162 | </div> |
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