I was wondering how it was built since equations aren't the nicest things to render with HTML. A quick 'view source' shows the site is using MathJax (not MathML) for displaying the equations.
I presume a lot of content is submitted or formatted using Tex/Latex. Can any HN'ers elaborate on the workflow for review/editing/publishing on the site?
The simple reason for mathjax is,that it is the only one that has many of the required features and it works across browsers. MathML can't deliver any of that...
Calculating the data makes extensive use of http://www.sagemath.org/, which is GPL'd; moreover, the LMFDB contributors also contribute a lot to SageMath.
It's just a informal term for the things mathematicians study. So the natural numbers are mathematical objects, as well as a set, a function, a manifold, a vector space, etc.
This is actually a surprisingly complex question in mathematical philosophy -- I unfortunately can't find a copy online right now, but if the idea of mathematical objects interests you I'd highly recommend Paul Benacerraf's 1965 paper "What Numbers Cannot Be", which explores the complexity of the idea of even a single integer as an "object".
For those interested, the article is actually called "What Numbers Could not Be" (many references have "What Numbers Cannot Be" so maybe it was published under both names at some point?)
Thank you! I just checked my copy of Cambridge's Philosophy of Mathematics and it is indeed "could not" -- the PDF I have on my laptop, however, is "cannot". I wonder when/where that happened.
LMFDB contains a large amount of extremely difficult to compute data about mathematical functions that arise in number theory, which took decades to compute and debug, and relations between that data. Just as hundreds of gigabytes of detailed astronomical data is not in Wikipedia or Wolfram Mathworld, this data about number theory is not in Wikipedia or Wolfram Mathworld either, and it never will be.
I should add that behind the scenes LMFDB really is a (MongoDB) database, there's an API that @hasch (here on HN) wrote, so that data can be recovered in JSON format, etc. To give some sense of what is in there, this http://johncremona.github.io/ecdata/ is just a tiny bit of what is in LMFDB.