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Thanks for your kind reply!
How I read, I'd assume, you've understood what I mean.
For now I'll take your recommendation and accept certain parameters as they are since there's other things of higher priority. Nevertheless, I'm getting quite interested in gaining more control since I always care ...

I should clarify and say that it's not a lot of normal text but rather a lot of inline math and some text that make up flashcards. Yet I stumbled upon this spacing issue before.
What I mean is: there's something big (like a matrix) in line #2, which itself is anyhow (much) higher then 1.5 of a line ...

If there's e.g. a matrix inlined somewhere, the \onehalfspacing from the setspace package doesn't work correctly, means: the space between the top of the matrix and the line preceding it is less than 1.5 lines high.

what's the easiest way to get this straight?

thanks!

thanks!, this improves the underlining.
Weird thing though is the lines aren't perfect, but there are minimal joints visible, e.g. spots where the line is blacker.

Next step for me now would be: How to define a paragraph style?, so one logical paragraph begins with an underlined word marking the ...

I'd like to define a simple layout for typesetting my math lecture notes.

I'd like to use underlines for one word of certain logical paragraphs like " sentence: " oder " reminder: ".

How to define a simple group for this? I'd like the underlines to be thicker than \underline and also to stop right ...