I would like to create the following style to write mathematics:
In fact the above I created myself but some numbers and spacing I had to set manually (and I would like this to be automatic of course).
So the following are important to me:
- I want the page to consists of 'notes' that are numbered like 1.1, 1.2 etc., where the first number refers to the section/paragraph (so in my example there are four notes in section 1). With every note I want to have the possibility to add a title that appears boldface (for example note 1.1).
- Within a note I want to have the possibility to add a theorem-like environment (in my example you can find 'remark', 'lemma' etc.). Preferably I would like to have one single command for this, and then the possibility to name it the way I want (so lemma or proposition or maybe something else). Also I want them to be numbered within the note they occur (see example), unless I choose them to be non-numbered (so in my example the 'remark' is not numbered).
- Between these theorem-like environments I want to include some small space (I chose \medskip in the example). But I don't want this space to get doubled whenever I have two of these environments one after the other.
- Last but not least: I want the title of a section, the first word of a note, and the heading of the theorem-like environments to be aligned (say one paragraph indent).
Any help or advice is appreciated. Of course, partial solutions are also welcome and I can provide details in case something is not clear.
Thanks a lot in advance! AYK