Three related topics were linked that IMO adequately address the question, but OP said:
However, I don't think this post explains [...] in detail.
I left a comment but removed it after deciding to check here, but my VTC remains.
Barring actual algorithms in paywalled standards (e.g. DO-185B), what level of detail is being requested exactly that isn't covered by the other posts, one of which includes a link to the FAA TCAS guide with multiple pages of details?
The help center says:
Your questions should be reasonably scoped. If you can imagine an entire book that answers your question, you’re asking too much.
I don't know why it wasn't voted as dupe to begin with, but given OP's interaction, I feel my VTC for narrowing down the scope is correct. Or is it not?
So far after my vote there's one leave open vote.
Update 1
The question is now answered with two quotations from two of the linked topics. IMO that does not constitute additional missing details.