Latex/Lyx: not just retyping from paper, but live problem-solving?

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Discussion Overview

The discussion revolves around the use of LaTeX and LyX for research and problem-solving in mathematics, specifically whether these tools can match the productivity of traditional paper and pencil methods. Participants share their experiences and preferences regarding the effectiveness of these software tools in facilitating mathematical work.

Discussion Character

  • Exploratory
  • Technical explanation
  • Debate/contested

Main Points Raised

  • One participant expresses that their productivity with LaTeX is lower than with paper and pencil, attributing this to the non-WYSIWYG nature of LaTeX which requires compilation to check results.
  • Another participant suggests that LaTeX is intended for WYSIWYM (what you say is what you mean) rather than WYSIWYG, advocating for writing first and formatting later.
  • A different participant mentions using LaTeX only for simpler problems, avoiding compilation until the end and sometimes reverting to pencil and paper for verification of tedious calculations.
  • One participant describes their workflow as starting with sketches on paper, then transitioning to LaTeX to ensure accuracy in signs and factors, emphasizing the importance of clarity for future reference.

Areas of Agreement / Disagreement

Participants do not reach a consensus on the productivity of LaTeX and LyX compared to traditional methods. Multiple viewpoints are presented regarding the effectiveness and intended use of these tools in mathematical problem-solving.

Contextual Notes

Some participants highlight limitations in their approaches, such as the need for simpler problems or the reliance on paper for verification, indicating that their experiences may not generalize across all types of mathematical work.

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Has anyone tried to use software not just for typing math to produce good-looking documents after solving problems/doing research with paper&pencil, but for actually doing research/problem solving with lots of maths directly in electronic form? Has anyone managed to have the same productivity as with paper and pencil?

I have been trying to use LaTeX this way for some time, and I found that my productivity is far lower than with paper&pencil, in particular because LaTeX is non-WYSIWYG and you have to compile to check results. Caring about that takes part of my attention away from the actual problem solving. I currently have somewhat more success with LyX, which is WYSIWYG, however I still think that my productivity is lower.
 
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Don't do that then. TeX and LaTeX are intended to be WYSIWYM (what you say is what you mean) rather than WYSIWYG. Write what you mean, then fix it later so it looks right.

With regard to your question, our group doesn't just use LaTeX for math on a forum. I work on a rather large (> 500 KSLOC) highly mathematical software package whose main body of documentation is entirely in LaTeX. The math is but a small part of that documentation. There's also requirements (for which we have formal LaTeX macros), formal and informal descriptions of the software, test results, traceability (automatically generated!), and metrics (also automatically generated). Other groups have used our documentation style and our LaTeX macros, so it now is used on well over a million lines of code, much of which is mathematical programming.
 
I will do it only when I am trying to solve a problem that I am confident is easy to solve, and does not have large expressions. I don't even bother trying to compile until the end, I just read the previous tex code to see what I was writing out (hence the no long expression rule!), and will occasionally pull out a pencil and paper to verify a calculation that is more tedious.

It is certainly the case that writing it up in tex as a way of solving the problem is not the intended use of the language, so I wouldn't bother trying it too much if you find it difficult.
 
What I often do is a sketch using paper & pencil but then I switch to latex to get all the signs and factors right, leaving only the important steps. The chances to find and understand it some months later are far higher.
 

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