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Ben edited this page Jul 10, 2015 · 37 revisions

Wordnet and it's related web-based visualizations (see WordNetEditor, VisuWords, and synonym ) are the closest example of what this project hopes to accomplish for mathemtiacal physics.

The data structure used for the Physics Derivation Graph is similar to that of Gellish

Physics

websites

Wikipedia description of Planet Physics (no longer exists)

Online physics textbook

Visual static concept graph for physics
http://hyperphysics.phy-astr.gsu.edu/hbase/hframe.html

Equationmap, a startup. Input: (Tex file) or (web GUI with Latex syntax). Output: (graph rendered in browser) or (Tex file). Can store graphs. 

http://dfcd.net/articles/derivations/derivations.html
A very small collection of derivations with almost no explanation

http://ww2.valdosta.edu/~cbarnbau/personal/teaching_MISC/deriv_phys.htm

http://proofs.wiki/Category:Physics
https://news.ycombinator.com/item?id=8980791

Text books

Comprehensive Physics XI By Narinder Kumar

@BOOK{
title={Comprehensive Physics XI},
author={N.~Kumar},
}

http://www.logic.at/staff/bruno/Papers/2010-PhysicsAndProofTheory-PC.pdf

projects

Linked Science

http://www.lncc.br/seminarioDEXL/palestras/Bernardo.pdf

http://linkedscience.org/lsc/ns/

Text-based rather than mathematical

Semantic web

@ARTICLE{
title={Ontologies and Languages for Representing Mathematical Knowledge on the Semantic Web},
author={C.~Lange},
url={http://www.semantic-web-journal.net/sites/default/files/swj122_3.pdf}
}

Physics

http://www.astro.umd.edu/~eshaya/astro-onto/

Ontology of Physics for Biology

http://sbp.bhi.washington.edu/projects/the-ontology-of-physics-for-biology-opb

MathML

http://semanticweb.org/wiki/Semantic_MathML/0.1

http://semanticweb.org/wiki/Semantic_MathML

http://answers.semanticweb.com/questions/871/mathematical-expressions-in-rdf?page=1&focusedAnswerId=17932#17932

http://stackoverflow.com/questions/15235012/how-to-embed-mathml-in-an-ontology-and-reference-parts-of-it

http://www.openmath.org/cd/contrib/cd/rdf.xhtml

Open Biological and Biomedical Ontologies

http://www.obofoundry.org/

Systems Biology Ontology

http://www.ebi.ac.uk/sbo/main/

OMDoc

https://en.wikipedia.org/wiki/OMDoc

https://trac.omdoc.org/OMDoc

https://www.academia.edu/2811079/A_Way_to_Improve_OWL_Documentation

http://www.mathweb.org/wiki/Main_Page

Math

Hilbert's program. My intent is similar for physics, though not as rigorous

Leslie Lamport math proof notation

@ARTICLE{
year={2011},
author={L.~Lamport},
title={How to Write a 21st Century Proof},
url={http://research.microsoft.com/en-us/um/people/lamport/pubs/proof.pdf},
note={http://research.microsoft.com/en-us/um/people/lamport/pubs/pubs.html#lamport-how-to-write}
}

web pages

Mathematical Knowledge Management
http://www.mkm-ig.org/

https://en.wikipedia.org/wiki/Mathematical_knowledge_management

Graph of topics in Mathematics

https://proofwiki.org/wiki/Main_Page

Mizar: an attempt to reconstruct mathematical vernacular in a computer-oriented environment

Symbolab, a private company. Input: web GUI with Latex syntax. Output: solved solution showing steps in browser

MathDox formula editor. Input: web GUI for equations. Output: (equation rendered in browser) or (OpenMath) or (MathML)

Formula-Database. Input: web GUI for equations. Output: returns a list of equations similar to query. Each returned equation as the symbols defined.

http://blog.stephenwolfram.com/2014/08/computational-knowledge-and-the-future-of-pure-mathematics/

Knowledge graphs

Google's knowledge graph

CMapTools knowledge modeling kit

https://en.wikipedia.org/wiki/Semantic_network

http://www.gellish.net/

Gellish: A Generic Extensible Ontological Language - Design and Application of a Universal Data Structure :: A. Van Renssen (2005)

Other

Ajit Narayanan: A word game to communicate in any language

A Primer on Bézier Curves

data visualization

https://news.ycombinator.com/item?id=9002971

https://www.google.com/maps

graphs

http://stackoverflow.com/questions/7034/graph-visualization-code-in-javascript/2366237#2366237

http://www.graphdracula.net/

http://sigmajs.org/

http://arborjs.org/

http://www.neo4j.org/develop/visualize

http://bl.ocks.org/rkirsling/5001347

rkirsling directed graph editor
rkirsling github: "modal logic" used in logical proofs
as referenced on Hacker news

http://bl.ocks.org/mbostock/4062045

<logicpull.com> editor

<ryandesign.com/canviz> static graph

https://philogb.github.io/jit/demos.html
https://philogb.github.io/jit/static/v20/Jit/Examples/ForceDirected/example2.html
https://philogb.github.io/jit/static/v20/Jit/Examples/ForceDirected/example2.js

http://blog.codinghorror.com/our-programs-are-fun-to-use/

Projects which are not related

Artificial Intelligence

https://en.wikipedia.org/wiki/General_Problem_Solver

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