I am an amateur mathematician without official scientific degrees. I am writing a breakthrough research monograph in abstract mathematics. When I finish it, what is better: to publish it traditionally or to put its LaTeX files into GitHub.com under a free copyleft license so that everyone could be able to edit my work. That it needs editing, is quite probable because this is a very new field of research and the book may require changes to make it better and more general.

Sir!

I find interest in maths and equally in philosophy.I have been writing them linking them in the best possible way I can..I adopt equations and theories from math and duduce explainations for some deep philosophical logics.like I have been working on limits and curves along with behavioural aspect of maths.The fact that my work doesnt incorporate(for now) a substantial amount of equations and symbols pulls me from submitting my works..kindly guide me as to where, or which university or professor should I write to!


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I am working on research that will lead to a paper. The research isn't finished but I've finished enough that I have a good idea of what the basic idea of what the paper will say and look like. Is it better to start writing the paper now and make revisions as my research progresses or is it better to finish the research, have firm conclusions already in place, and then start writing?

Less poetically and more pragmatically, it is often only in the process of writing that certain critical aspects of the work become apparent. When a person is in the midst of working on a project, they tend to get very close to the material and begin to take as clear and obvious things that are very much not so for others who are not so deeply involved. Writing one's work up in a scientific paper forces one to step back and build those gone-implicit arguments from the ground up (or at least it does if you are writing well).

This often leads to discovering unexpected problems, which lead to new literature searches, new theorems, new experiments, and even whole new perspectives. I have had nearly the entirety of a paper change out from under me as we wrote it and revised it, and the work became much better as a result.

So, to return to your question, of when to begin writing up a paper. My advice and experience is this: begin writing when you think you have achieved the key results that you want to build the paper around. As you begin to do so, you will likely discover gaps that need to be filled in, which will shift how you write the paper, etc. When the process converges, you know you've got a good paper on your hands, and it is ready to submit into the tender mercies of your dreaded peers.

To sharpen jakebeal's point a bit: my primary specific recommendation is that you not spend any significant amount of time polishing the paper until you're confident that very nearly the sum total of its contents are collected in front of you, literally or figuratively. A more-or-less-messy pile of scratch can be enough to facilitate the process of thinking through one's lines of argumentation, depending on one's personality and modes of thought, while taking a comparatively small amount of time away from continuing the necessary research/experimentation.

For me, writing a paper is a process that is not unlike how an author writes a book. I am constantly thinking about the "story" while I am doing the research. While working on a research project, I will suddenly think of some nice manner of presentation, phrase or even a single word that capture nicely some aspect of the work and I write these down in a raw manuscript file. Then, as the project advances to a more mature state where I know the majority of the results I will jot down a very rough outline. The actual hardcore writing then consists of putting everything together.

In my experience, neither approach is generally better, but for most people, one approach is better suited than the other. If you are the person who prefers approach 1, you might start writing as soon as you finished an aspect of your paper; if you prefer approach 2, this may be a waste of time, depending on the content (see below). While there is a grey zone between the two approaches, I have not met anybody yet whose approach lies in it.

To give an example from personal experience, I am the sort of person who prefers the second approch to writing and I wrote most of my papers so far after all the work was finished. Nontheless, I recently wrote a paper in a totally different style. However, this paper was a method paper, which I knew to be modular. I did things in the following order: 0852c4b9a8

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