math-expressions | Javascript library handling mathematical expressions | Math library

I export a PDF with the following footer:

Recently AWS announced that Cloudwatch alarms can use Math Expressions on metrics. I decided to create an alarm that compares the SUM of 2 single metrics with a given threshold. This means that according to AWS documentation my expression should be SUM([m1,m2]), where m1 and m2 are 2 single metrics. I also decided to implement this idea using a cloudformation template (in yaml). Here's the Cloudwatch alarm definition:

I'm trying to create a plot using ggplot2 (v. 2_2.2.1) facet_wrap, and I need to have a Greek symbol in only one facet label (out of five). I have tried to use code posted here on Stack Overflow:

• R Greek letters and normal letters for facet label in R facet grid
• How to add expressions to labels in facet_wrap?
• How can I use grid to edit a ggplot2 object to add math expressions to facet labels?

but without any success (getGrob is not working, and that's true also for the mf_labeller).

Can anyone help me with that?

Here is the example code:

I have working .Rmd files that contain latex syntax (rendering correctly). However, when I render using the bookdown package, I have experienced that the latex output is incorrect. I went to check in the source (aka https://bookdown.org/yihui/bookdown/markdown-syntax.html#math-expressions) and I see that the render is not correct there either!

I see similar behavior for bookdown's preview_chapter() rendering but not for Rmarkdown knit of a toy example. I see similar behavior changing web browser.

Is this something on my end? Are there updates I need to do?

Using python with spacy (german) to analyse mathematics tasks including mathematical expressions: is it possible to flag these math-expressions? For e.g. with {}:

This question has some good responses, but has been moved to a more appropriate forum at this link.

Online systems, such as ALEKS, Cengage's WebAssign, and even Khan Academy employ some kind of logical matching for polynomial expressions and numerical values (ie, fractions). What unpaid tools (libraries, command line programs, scripts, etc) exist that can provide expression/numerical matching? For example, a student enters the expression

but the following expression is equivalent and would also be acceptable:

The question about how to do this mathematically has an excellent answer in this post, and a question addressing one particular way to implement this has a partial answer in this post. Sympy looks promising, but the command line Maxima could work, and so could the WolframAlpha API, Maple, MatLab, and any number of symbolic computer algebra systems.

It's fine to talk about things that "could work", but what tools are already being used? How has this already been implemented? Can anyone speak from experience about what online math learning programs are using on the backend? Give examples or direct to existing projects.

To clarify the question, I'm talking about logically comparing simple expressions(middle/high school math), minimally complicated, with canonical forms typically easy to obtain. The implementation will be online (html+nifty_tool) and input will most likely be captured as a string unless someone can suggest a better input method for math learners - a LaTeX front-end perhaps?

I am trying to include expressions in a few, but not all ggplot facet labels. This question has been asked and resolved before, but I do not manage to make it work for my particular case.

I get the following error:

Error in parse(text = as.character(values)) : :1:8: unexpected symbol 1: Capped brood ^

Please let me know what my mistake is and how I can plot the square-root symbol in the facet label.

Data: