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.
The question is now answered with two quotations from two of the linked topics. IMO that does not constitute additional missing details.