Wikidata:WikiProject Mathematics/Talks/DMV2023/Mathematics and Wikidata

Short link to this page: https://w.wiki/7YdV or simply WD:DMV2023 on Wikidata

About[edit]

This page assists a presentation given by Daniel Mietchen (Q20895785)   at Annual Conference 2023 of the German Mathematical Society (Q122643579)   in Ilmenau (Q205929)   on September 25, 2023 (Q69306933)   .

An archival copy of it is available at Zenodo (Q22661177)   via the digital object identifier (Q25670)   10.5281/zenodo.8374548.

Abstract[edit]

Wikidata is an open and collaborative database that anyone can edit, which thousands do on a regular basis. Launched a decade ago, FAIR (Findable, Accessible, Interoperable and Reusable) right from the start and closely integrated with its sister sites in the Wikipedia ecosystem, it has since become the edit button of the semantic web and is increasingly being integrated with scholarly databases and workflows spanning across all fields of research. This presentation will consider Wikidata through the lense of mathematics, covering content, infrastructure and community aspects and how each of these are curated and interlinked both within and beyond Wikidata. In terms of content, coverage of mathematical concepts will be explored, including objects of mathematical research, software and other methods used in mathematical research, along with mathematical aspects of research in other fields as well as mathematical literature and linguistic knowledge about mathematical terminology across natural languages. In terms of infrastructure, support mechanisms for describing, displaying and analyzing mathematical objects in Wikidata contexts will be discussed. In terms of communities, we will cover producers, curators and users of mathematical knowledge and data, along with community structures engaged in any aspect of the life cycle of mathematical entities, both in scholarly and Wikidata contexts.

Introduction[edit]

Wikimedia projects[edit]

Wikimedia logo family complete-2022

An ecosystem of about 1000 wikis

"By 2030, Wikimedia will become the essential infrastructure of the ecosystem of free knowledge, and anyone who shares our vision will be able to join us."

Wikipedia[edit]

Wikipedia is available in over 300 languages, together getting multiple billions of monthly page views.

Math-related Wikipedia traffic[edit]

Pageview stats for some mathematical articles on the English Wikipedia this year so far

Math in Wikidata[edit]

Illustrations of mathematical theorems, as per Wikidata query.

Other Wikimedia projects[edit]

Wikimedia logo family 2021 with SARS-CoV-2 virus

An example of how each of these projects has its own ways of sharing knowledge around a topic.

Math in other Wikimedia projects[edit]

Lots of angles to engage with mathematics.

Take a look at Math tourism on Wikivoyage or study Topological invertibility criteria on Wikiversity.

Mathematics and Wikidata[edit]

Content aspects[edit]

Formulas[edit]

Meaning of the symbol η in various formulas, as per Wikidata query.

Calculators[edit]

Subgraph of Wikidata around the Antikythera mechanism, as per Wikidata query.

Mathematicians[edit]

Wikidata representation of the academic tree around Gottfried Wilhelm Leibniz (Q9047)   .
See also mathematicians who have had non-mathematical entities named after them.

Mathematical terms[edit]

Compund and derivation graph for Wikidata lexeme Wahrscheinlichkeitsverteilung (L770168), as per its Ordia profile.

Infrastructure aspects[edit]

Rendering mathematical notation[edit]

The value for the defining formula (P2534) statement on the Wikidata item Bohr magneton (Q737120)   rendered.

The value for the defining formula (P2534) statement on the Wikidata item Bohr magneton (Q737120)   in edit mode.

Data integration[edit]

Data modelling[edit]

Data licensing[edit]

Wikidata is in the public domain, available under the terms of Creative Commons CC0 License (Q6938433)   .

Data exploration[edit]

Mathematical concepts[edit]

Scholia topic profile for Bayes theorem (Q182505) as of 2023-09-24

Scholia provides about 30 types of scholarly profiles, all based on Wikidata (e.g. a person or institution).

Software[edit]

Co-use panel on the Scholia software profile for ImageJ as of 2023-09-25

Co-usage of software, as per the Scholia software profile for ImageJ

References[edit]

Wikidata statements referenced to a particular work are shown on the work's Scholia profile.

Community aspects[edit]

Mathematical communities[edit]

Partial co-authorship network of attendees of Annual Conference 2023 of the German Mathematical Society (Q122643579)  

Researchers from other fields[edit]

Art historians might be interested in artwork depicting squares, as per this Wikidata query.

Wiki community[edit]

WikiProjects like WikiProject Mathematics are one of the ways in which the Wikidata community organizes itself.

Property proposals[edit]

Wikidata property proposal for Alexander polynomial (P5350)

Recent changes[edit]

Edits meeting specific criteria[edit]

Recent changes for Wikidata items with a defining formula (P2534) statement.

Edits by wiki[edit]

Listen to the edit stream:
multiple Wikipedias, Wikidata, both, recording

Visualizing progress[edit]

Wikidata items map with difference, India, October 2018 to May 2019

Geolocated Wikidata items, with highlighting of changes between October 2018 and May 2019

Wikifunctions[edit]

Wikifunctions-logo

Wikifunctions - a new sister project in the Wikimedia ecosystem, dedicated to the collaborative curation of functions, including software and mathematical ones.

Thanks[edit]

What if we could more easily thank those who create and maintain the resources we use?