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

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

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.

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 $\operatorname{Cyl}(L, W):=\left{x \in \mathbb{R}^{d} \mid | x_{1}| \leq L, x_{2}^{2}+x_{3}^{2}+\cdots+x_{d}^{2} \leq W^{2}\right}$

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 blackboard N (ℕ) superscript plus cherry-picked complex cases 1,000+ notations with fixed mathematical intent, by the Math WG

Disclaimer: These are not "unique" or "best" narrations. E.g. the raw presentation tree is a better narration for copy-editing flows. The concept-oriented narrations, such as "binomial of a and b", are better for either skimming the document, or e-Learning elaborations. Setup You need google chrome with Screen Reader installed. You can get narrations for the formulas either by: navigating via tab, which for me reads out the raw presentation tree when a MathML expression is focused for sighted users only: clicking on the expression, and the bounding boxes of its subexpressions, using the mouse. This appears to read out the correct ARIA-specified narrations, at all levels of granularity. for sighted users only: if you click over an identifier with an aria-describedby annotation and hold the pointer for a little while, you should hear the narration of the secondary "property" in a different pitch.

A: When the formalization of an expression requires a complete departure from its presentation. In other words, whenever the author uses notational shorthands that serve to compress a non-trivial amount of conceptual structure. Examples 1. Brief introduction of variables $$ x_{1,2} = \pm 1 $$ A content tree that is formally useful ought to disentangle $x_1 = 1$ and $x_2 = -1$. And recognize that if the right-hands side (RHS) was $\mp 1$, those assignments would be flipped.

Some quick statistics on the presence of the % character in a normalized plain-text version of the corpus: 7,055,855 matches 610,543 files contained matches 1,570,012 files searched In other words 38% of arXiv appears to contain a use of the character, with an average of 11.5 uses per document, when used. From a manual sample of ~200 articles, it appears % most often denotes "percentage", but that sample is not representative, and already has one exception (modulo). Also note that even in the cases with a "percentage" meaning, there are some grammatically interesting cases.

(Working Draft, June 2021, document subject to change) In the new W3C Math group, as well as the community group that preceded it, we have been brainstorming a dialect of annotation markup for specifying "author intent" over presentation MathML trees. In the simplest of examples, you could imagine an atomic attribute that grounds a single node to its mathematical meaning, as in Euler's constant and Euler's number: <mi intent="euler-number">e</mi> <mi intent="euler-constant">γ</mi> which would allow accessibility (AT) software to either choose to speak the mathematically informative concept name behind the rendered symbol, or directly speak the raw presentation readout. These values also double as anchors for: