Hmm. So you're saying that having strong Si means weak Se?
Not necessarily, it is possible to have both a strong Si and a strong Se. MBTI orthodoxy says it's not (if Si is your dominant function Se is supposed to be your 5th), but objectively, that's often not the case. What I was saying is that your description, in particular, appears to be more Si rather than Se.
I suppose that is how they work. Where can I find more about cognitive process pairings such as Si and Te.
I don't think there's much literature available on how the functions work in tandem, only on how they themselves are defined. What I have said so far, and most user-generated content on function combinations, is based on synthesis of how the functions are described, and how they can be observed to work.
As for the Si and Te combination, it consists of the combination of reliance on experience and focus on details in order to match them to a set standard (Si), with an impetus to organize the external world for optimal efficiency, and reliance on evidence and externally-derived logic (Te). A person adept at using this functional combination would generally speaking be highly proficient at any task they set their minds on doing, provided they have enough information to complete it. Often said people are very comfortable with routines, and enjoy having an even-paced life. ISTJs and ESTJs are often stereotyped as being very traditional and rigid, but that may not necessarily be the case -- STJs are merely highly reliant on what information they have received, and in the old days this meant almost exclusively what mom n' pop taught you. In the information age, many SJs have views that may not be exactly mainstream.
I think I need an example of someone doing this to compare it to myself.
Hmmm... I think what I just did counts. I essentially took a definition, and made it fit into a personal framework based on what I've observed and learned on the subject in question.
Also, what describes my desire to show off to people without looking like I'm showing off? Or my desire to appear unique to people in general, even if it is for something some people usually find unfavorable?
That would be Enneagram 3, and Enneagram 4, respectively. There isn't any one Jungian function that precisely fits that description, although the latter is rather Fi-ish (which would fit ISTJ -- Fi is the ISTJ tertiary function). It seems from what you just said that you may be an ISTJ 3w4.