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Research data and mathematical modeling

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Research data and mathematical modeling
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20
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CC Attribution - NoDerivatives 3.0 Germany:
You are free to use, copy, distribute and transmit the work or content in unchanged form for any legal purpose as long as the work is attributed to the author in the manner specified by the author or licensor.
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Production PlaceLeipzig

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Abstract
Today, mathematical modeling is an important tool in scientific research. In mathematics, publications are containers for mathematical research data containing models and mathematical objects, theories, theorems, proofs, methods, algorithms, and applications. However, it is a nontrivial task to extract detailed information about models and other research data from publications. Especially, the information about mathematical models is given in different form, e.g., by names or in “natural mathematical language” (a combination of text and mathematical formulae), and is often incomplete. Moreover, different communities use different terminologies and notations for the same models. These deficits make it difficult to find and reuse existing models and lead to repeated reinventing the wheel. This results in an project idea to analyze and collect existing information about mathematical models in publications and to develop concepts for a semantic presentation of them. In the talk, the presentation of research data in mathematical publications will be analyzed and first ideas for a special model database are suggested.