# List of Math and MathML Notes This page contains a meta list of notation lists, as well as some musings on MathML remediation for accessibility, so that I don't lose any. A lot of these are experimental bluenotes and scratchpads, so don't expect to find fleshed out blogs in most links here. ### Notes on Math Notations A list of notes that examine symbolic notations, mostly extracted from the arXiv dataset. These are certainly not exhaustive and not representative, but are a start: * [percent sign](https://hackmd.io/@dginev/HJYj-6Lod) * [blackboard N (ℕ)](https://snip.mathpix.com/deyan.ginev/notes/notations-blackboard-bold-n-ℕ) * [superscript plus](https://snip.mathpix.com/deyan.ginev/notes/notation-examples-superscript-plus) * [cherry-picked complex cases](https://snip.mathpix.com/deyan.ginev/notes/notation-examples-freestyle) * [1,000+ notations with fixed mathematical intent, by the Math WG](https://docs.google.com/spreadsheets/d/1EsWou1K5nxBdLPvQapdoA9h-s8lg_qjn8fJH64g9izQ/edit?usp=sharing) * ["f x" without parentheses in arXiv](https://twitter.com/dginev/status/1412914257277202434), also as a [gist report](https://gist.github.com/dginev/0587ce0264f03f2787503b6e4c14a342) * [integrals without a differential d](https://lists.w3.org/Archives/Public/www-math/2021Jul/0023.html) * [cyrillic letters in math expressions](https://lists.w3.org/Archives/Public/www-math/2021Jul/0016.html) ### Notes on Math language A list of notes that examine idiomatic text as used in STEM documents. * [vice versa in arXiv](https://snip.mathpix.com/deyan.ginev/notes/vice-versa) ### Other vendors * [Notations used in DLMF](https://dlmf.nist.gov/not/) * Wikipedia * [Glossary of Math Symbols](https://en.wikipedia.org/wiki/Glossary_of_mathematical_symbols) * [List of symbols by subject](https://en.wikipedia.org/wiki/List_of_mathematical_symbols_by_subject) * [Database report of 18 million arXiv formulas currently not parsed by LaTeXML](https://corpora.mathweb.org/corpus/arxmliv/tex%5Fto%5Fhtml/warning/not%5Fparsed?all=false) * Astrophysics symbols, e.g. in AASTeX 2006 at "[2.11.4 Signs and characters](https://www.aanda.org/images/stories/doc/new-aaguide2006.pdf)". * A [Numerical Atlas](https://arxiv.org/abs/2107.00665) for astrophysics measurements ### MathML "Intent" design notes * [Intent Defaults: The mrow canon](https://hackmd.io/@dginev/Bk4Zf9B9O) * [Aspects of Meaning in Content-light annotations](https://docs.google.com/document/d/1DwNZkFDfI7uZclOeCDcOWVeWv87WjAII-MgE2rTmwfs/edit?usp=sharing) * [Discussion papers](https://mathml-refresh.github.io/discussion-papers/) * [ARIA demo for annotating MathML Intent](https://hackmd.io/@dginev/SkBHsZTiO) * [Tiny showcase of MathML Intent via latexml](https://dginev.github.io/tiny-mathml-a11y-demo/) * [When is Content MathML not Natural?](https://hackmd.io/@dginev/r1vsE_k3d)
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Example of using MathML in HackMD

As a quick example, here is an identity of Ramanujan, as native <math>: <br><br> 1 (

1/12/2023
Some math notations from Bulgaria

It is well-known that some of the mathematical notations used internationally differ from those used in the West, for a range of reasons - from economic to linguistic. Yet specific examples usually come as a surprise to an unsuspecting reader. This brief post outlines a few traditions from my own home country, Bulgaria. Importantly, the examples here are not meant as "universal" notations. Some texts use some of them, others rely more heavily on modern Western notations, and some pick-and-choose based on the subfield of mathematics, or even on expression context. To illustrate: comma-separated lists will be seen in most texts as in $x,y,z \ldots$ Yet for cases where commas are used in the listed elements (e.g. in scripts), some authors will prefer semicolon as in $$x_{1,2}=\pm \sqrt{z_1}, ;, x_{3,4}=\pm \sqrt{z_2}$$ Math Concept Notation Notes

8/9/2022
A brief encounter with notations in mineralogy

Overview In June 2022, I was lucky to enjoy a tour of Vienna's Museum of Natural History and its Mineral Collection. I encountered a variety of samples which happened to be tagged with unexpectedly sophisticated labels, employing standard mathematical syntax interleaved with common chemistry notation. I lack knowledge of chemistry beyond the secondary education level, so chemical experts who happen to stumble on this post should expect the observations of someone well-versed in mathematical syntax, but a novice in other related sciences (materials science, crystallography, etc). Observations Here are 23 exhibits with some interesting use of notation.

8/4/2022
Multiple meanings of vertical bars

Examples from arXiv arxiv:1008.0249, page 70 On the region $\hat{U}=\left{z \mid |P_{c} z|{E{c}} \leq \delta_{1},| \eta(t) | \leq 1\right},$ ... set "such that", norm(?), absolute value arxiv:0903.4647, page 14 $\operatorname{Cyl}(L, W):=\left{x \in \mathbb{R}^{d} \mid | x_{1}| \leq L, x_{2}^{2}+x_{3}^{2}+\cdots+x_{d}^{2} \leq W^{2}\right}$

8/10/2021
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