@1
"What is dynamic equality?" ++ It means that one side has a static advantage and the other side has a dynamic advantage and both cancel out leaving equality.
"I've always understood it as when your pawn-structure is terrible but your pieces are far better placed than your opponent" ++ Yes that is right.
"to the extent that you're either ready to sacrifice them to create a mating attack"
++ That would be a dynamic advantage
"they support a far advanced passed pawn and are threatening to create tactics to promote it."
++ That would be a static advantage.
"So in both cases the opponent will have to keep defending and defending, and if you slip up and allow them to secure king safety or take the passed pawn, they'll win because of the weaknesses in your pawn structure." ++ Yes, that is right.
"if they fail to defend their king or neutralise the past pawn, then you'll obviously win." ++ Yes.
"because it's dynamic equality, it means your opponent isn't concretely busted, and will eventually break out. So as they continue to defend, in the meantime you have to eliminate the weaknesses in your position, or place your remaining pieces in such a way that when your opponent eventually breaks out of the bind, your position is a lot better than before and are no longer losing an endgame." ++ Yes.
@2
"On the other hand "oo" (infinity sign) implies dynamic equality, usually meaning the position is so complex that chances are probably even at least among human beings."
++ No. "oo" means the analyst is too lazy to determine if it is +-, =, or -+
"Pawns don't really play a bigger or smaller role in this."
++ They do. 'Pawns are the soul of chess' - Philidor
Every pawn is a queen to be.
I've always understood it as when your pawn-structure is terrible but your pieces are far better placed than your opponent to the extent that you're either ready to sacrifice them to create a mating attack, or they support a far advanced passed pawn and are threatening to create tactics to promote it. So in both cases the opponent will have to keep defending and defending, and if you slip up and allow them to secure king safety or take the passed pawn, they'll win because of the weaknesses in your pawn structure. And if they fail to defend their king or neutralise the past pawn, then you'll obviously win. So essentially all the static advantages favour the opponent, but they can't do anything about it because the moment their pieces venture out, all the tactics favour you. And so because it's dynamic equality, it means your opponent isn't concretely busted, and will eventually break out. So as they continue to defend, in the meantime you have to eliminate the weaknesses in your position, or place your remaining pieces in such a way that when your opponent eventually breaks out of the bind, your position is a lot better than before and are no longer losing an endgame.
Is that it or am I missing something else?