Greg, is right that no foil is involved - foil normally means dual lifting surface of top and bottom (which as you said Bernoulli's equation can be applied). As mentioned earlier our boards have a single lifting surface so they plane. Both foil and planing hull produce lift - upward force.Thanks for the clarification. I guess I would have called that "planing" rather than lift , but a quick google says it is lift.
But now your apex term is confusing me. Is that where you perceive the rocker changes more drastically? Would staged rocker have two apexes? Also doesn't rocker apex change position depending on where you're standing on the board, like Mr. J mentioned above? Would you call your rocker continuous or staged?
In pedagogical terms, you need to create some "scaffolding" for us slow learners...
Regarding your direct question to Greg asking him if his boards have staged rocker - direct questions rarely yield a direct answer from our guru, but occasionally I do ask them! I asked that question before and I could tell from the indirect answer that Greg's rockers are what we could call staged in the tail. I had framed the question referring to one of the rocker shots he posted which strongly suggested this. I don't know how Greg does his tail rocker in shape3d, but this is how I have done 3 of my annual builds. The first pic is showing the default control point which shape3d will provide when designing from scratch. The "red" handle (not highlighted) at the end can be pulled up or down to get a certain rocker number then then the blue handle which is highlighted can be pulled up or down to adjust how gradually the rocker rises as it reaches the tail. That alone can produce variations of what I would call continuous curve.
The second pic shows how I have added an additional "elbow" control point to produce a stage. There is just a very slight bend in the elbow, but mainly the middle red handle pins the rocker at that point allowing the default end handle to keep the end stage flatter than it would normally be. I don't add such elbow control points in the nose entry section and would be surprised if anyone else does, but I don't know that for sure.
Other ways of staging is to have continuous rocker at the stringer, but stage the rail rocker by pulling the edge down into a deeper concave in the front fin region, but we know Greg doesn't do that. I did a bit of that on last years build and did not like the result i.e did not ride well for me.