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Demo: A Functional EDSL for Mathematics Visualization That Compiles to JavaScript

Published: 31 August 2023 Publication History

Abstract

Visualizations are a critical part of mathematics practice and education, and computers and open-source web technologies provide accessible ways to create high-quality mathematics visualizations at virtually no cost. However libraries and languages to create visualizations for mathematics are typically fine-grained, low-level, and targeted to vector graphics domain experts or web developers, not mathematics students or teachers or end-users. We present demos of Sylvester: a functional domain-specific language interface to the JSXGraph visualization library embedded in F# that emphasizes readability, composability, and the ability of end-users to easily create and manipulate elements of high-quality interactive mathematics visualizations without needing vector graphics or web development domain knowledge.

References

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Allister Beharry. 2023. Sylvester: Unified, typed, notation for symbolic mathematics and proofs (short talk) (ML 2021) - ICFP 2021. https://icfp21.sigplan.org/details/mlfamilyworkshop-2021-papers/6/Sylvester-Unified-typed-notation-for-symbolic-mathematics-and-proofs-short-talk- [Online; accessed 9. Jun. 2021].
[2]
Mark Gillis. 2011. Basic Supply and Demand. https://demonstrations.wolfram.com/BasicSupplyAndDemand/ [Online; accessed 18. Jul. 2023].
[3]
John Hobby. 2014. MetaPost. https://www.tug.org/docs/metapost/mpman.pdf
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Paul Hudak. 1996. Building Domain-Specific Embedded Languages. ACM Comput. Surv., 28, 4es (1996), dec, 196–es. issn:0360-0300 https://doi.org/10.1145/242224.242477
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Dor Ma’ayan, Wode Ni, Katherine Ye, Chinmay Kulkarni, and Joshua Sunshine. 2020. How Domain Experts Create Conceptual Diagrams and Implications for Tool Design. In Proceedings of the 2020 CHI Conference on Human Factors in Computing Systems (CHI ’20). Association for Computing Machinery, New York, NY, USA. 1–14. isbn:9781450367080 https://doi.org/10.1145/3313831.3376253
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Maplesoft, a division of Waterloo Maple Inc... [n.d.]. Maple. https://www.maplesoft.com/products/Maple/
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Markus Hohenwarter, GeoGebra Team. 2001. GeoGebra. https://www.geogebra.org/
[8]
Till Tantau. 2023. PGF/TikZ. https://pgf-tikz.github.io/pgf/pgfmanual.pdf
[9]
Bianca Valentin and Michael Gerhäuser. 2009. Interactive SVG with JSXGraph. https://jsxgraph.uni-bayreuth.de/talks/svgopen09/jsxgraph.pdf
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[11]
wxMaxima authors. 2023. wxMaxima. https://wxmaxima-developers.github.io/wxmaxima/wxmaxima.pdf

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Published In

cover image ACM Conferences
FARM 2023: Proceedings of the 11th ACM SIGPLAN International Workshop on Functional Art, Music, Modelling, and Design
August 2023
46 pages
ISBN:9798400702952
DOI:10.1145/3609023
  • General Chair:
  • Mae Milano,
  • Program Chair:
  • John Leo
Permission to make digital or hard copies of all or part of this work for personal or classroom use is granted without fee provided that copies are not made or distributed for profit or commercial advantage and that copies bear this notice and the full citation on the first page. Copyrights for components of this work owned by others than the author(s) must be honored. Abstracting with credit is permitted. To copy otherwise, or republish, to post on servers or to redistribute to lists, requires prior specific permission and/or a fee. Request permissions from [email protected].

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Association for Computing Machinery

New York, NY, United States

Publication History

Published: 31 August 2023

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Author Tags

  1. dsl
  2. f#
  3. javascript
  4. mathematics
  5. visualization

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FARM '23
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Overall Acceptance Rate 19 of 23 submissions, 83%

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