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

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

About

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

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

Wikimedia projects

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

Screenshot of Wikipedia.org landing page on 2023-04-05 21-42-04

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

Math-related Wikipedia traffic

Screenshot of pageview stats for mathematical articles on the English Wikipedia from 2023-01-01 until 2023-09-23

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

Wikimedia Commons

Knowledge belongs to all of us. 2030 Wikimedia

Over 90 million reusably licensed media files

Math in Wikimedia Commons

Animation of media files in the Wikimedia Commons category for animations of sort algorithms, as of 18 September 2020

Animation of media files in the Wikimedia Commons category for animations of sort algorithms. Reused on the Armenian Wikipedia via Wikidata.

Wikidata

Screenshot of Wikidata homepage as of 5 April 2023

Structured data about more than 100 million entities.

Math in Wikidata

Illustrations of mathematical theorems, as per Wikidata Query Service on 2023-09-24

Illustrations of mathematical theorems, as per Wikidata query.

Other Wikimedia projects

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

Lots of angles to engage with mathematics.

Screenshot of the page for Mathematics tourism on the English Wikivoyage as of 2023-09-24

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

Mathematics and Wikidata

Content aspects

Formulas

Meaning of the symbol η in various formulas

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

Calculators

Subgraph of Wikidata around the Antikythera mechanism

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

Mathematicians

Wikidata representation of the academic tree around Gottfried Wilhelm Leibniz

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

Compund and derivation graph for Wikidata lexeme Wahrscheinlichkeitsverteilung (L770168)

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

Infrastructure aspects

Rendering mathematical notation

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)   rendered.

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

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

Data integration

Data modelling

Data licensing

Open Data stickers

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

Data exploration

Mathematical concepts

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

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

Scholia screenshot of the Supports the following statements panel for the work Independence, Additivity, Uncertainty (Q121775923)

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

Community aspects

Mathematical communities

Co-authorship network of attendees of the Annual Meeting of the German Mathematical Society 2023 in Ilmenau

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

Researchers from other fields

Artwork depicting squares

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

Wiki community

Screenshot of Wikiproject Mathematics on Wikidata as of 2023-09-25

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

Property proposals

Wikidata property proposal for Alexander polynomial (P5350)

Recent changes

Edits meeting specific criteria

Screenshot of SPARQL Recent Changes for Wikidata items with a defining formula (P2534 ) statement

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

Edits by wiki

Listen to Wikipedia

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

Visualizing progress

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

Wikifunctions-logo

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

Thanks

Send-thanks1

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