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In a technical or scientific text, such as a PhD thesis, should headings for (sub)sections be complete and sometimes repeat information from the headings of the levels above, or is it sufficient to have a short heading, assuming that it is implied that section X.Y.Z is still inside X.Y.?

For example, in my PhD thesis, I have a sectioning structure like this:

2. Remote sensing
2.3. Specific technologies
2.3.1. Solar
2.3.2. Terrestrial
2.3.3. Active

My supervisor said that Solar, Terrestrial, Active, or even Specific technologies are not proper section titles, but that I should rather write something along the lines of

2.3. Specific observation technologies
2.3.1. Solar remote sensing
2.3.2. Terrestrial remote sensing
2.3.3. Active remote sensing

even though this repeats the heading for chapter 2. Browsing through some books on my desk, it appears that section and subsection titles often indeed do repeat information from higher level headings, but it makes the mathematician buried (somewhat deep) inside me cringe a little.

Are there any style guides or rules addressing this point explicitly?

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I would go for clarity. If 2.3.2 is 20 pages away from 2., I may or may not remember that "sensing" is part of what's being discussed. It's context-sensitive. I'm not aware of any rules around it. –  Lauren Ipsum Oct 3 '13 at 17:00
    
@LaurenIpsum Chapter 2 starts on page 9, but its title is repeated in a running heading on every page. 2.3 starts on page 19, 2.3.1 and 2.3.2 both start on page 20 (2.3.1 is short), 2.3.3 on page 26. –  gerrit Oct 3 '13 at 18:07
    
If the title is on every page, you're fine. You don't need to repeat the words in the subsection headings. –  Lauren Ipsum Oct 4 '13 at 0:30
    
What style guide are you using? APA? MLA? –  Neil Fein Oct 4 '13 at 19:07
    
@NeilFein I'm not strictly following any style guide, but mostly what I consider clearest. –  gerrit Oct 5 '13 at 10:06

2 Answers 2

I'd say that your current sounds fine, though you may want to prepare it as both, just to placate your adviser. Sed would be able to help you do this if you are using something like LaTeX to prepare it.

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It is LaTeX, although I don't get your point about sed; it's not like I want a global replace wherever I use the word solar –  gerrit Oct 4 '13 at 14:47
    
Sed doesn't have to be global, if you know regexes well enough, you can always create them so they only work in certain situations. Or use emacs M-%. –  SWFlint Oct 29 '13 at 15:22

As @Lauren Ipsum said, go for clarity. Remember that there are times when you don't see the context, for instance when using a cross-reference. "See section 2.3.2, Terrestrial" is not immediately obvious to the reader.
Approach this as a writer, not a mathematician. Writing section headings that make sense even when viewed in isolation, will help readers understand what you're writing and where they can find what they're looking for. Your audience will probably include people for whom English isn't their native language; giving them a complete expression to parse will make it easier for them to read your thesis.
About "specific technologies"; I'd use the word 'specific' only if you have a heading 2.1 or 2.2 that talks about "general technologies" so you have a juxtaposition. Otherwise the word is redundant.

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