Question for someone who is familiar math notation...was the abstract of this article easy to understand?
For me, the abstract seems like code but no commentary explaining what each bloc does. But I could be mistaken.
The notation is easy to understand (and as far as mathematical notation goes, really quite tame). I don't know what a nearly shortest vector of a lattice is in this context, but I do understand everything else. Note that means I have no idea how the actual method works, but I can understand what's being claimed.
You can have a "good basis" where the norms for b are low, or an equivalent "bad basis" with the same lattice points but with high norms. That's one hard problem (lattice reduction), but there are polynomial-time approximations.
The shortest vector problem, iirc, is to find the vector with the smallest norm in the best possible basis of that lattice.
You are mistaken. (Pretty much) all of mathematics is written as natural language, and those symbols are just abbreviations for stuff that could also be written as words. If I read those sentences out loud, another could write them back down and arrive at something that looks the same.
That's why all of mathematical notation is embedded in sentences - they are part of the sentence and can be read as such.
Further that is really basic notation a first semester student of any STEM discipline should be able to read, though I wouldn't expect them to know what a lattice and some of the other terminology is.
It kind of is since a lot of it grew organically. Often it isn't even consistent across authors/countries. It wasn't really "designed".
The German Wikipedia has a decent overview of symbols and I often use it as a cheat-sheet for LaTeX, whereas the English equivalent of that article has a better explanation of basic notation.
https://en.wikipedia.org/wiki/Glossary_of_mathematical_symbo...
https://de.wikipedia.org/wiki/Liste_mathematischer_Symbole?o...
Even If you don't speak German, the article might be useful because you can follow the links to the individual articles next to the symbols, then change the language back to English. Or use it as a LaTeX reference if you're like me and have trouble remembering some of the more wonky abbreviations it uses. Of course that article isn't comprehensive, but most of the stuff that is missing is very domain-specific.