Bipolar disorder, where the two equilibrium are the depression state and the manic state
Cravings for different restaurants, each a different equilibria: when I order in one, I tend to only want to order there for some time.
Tennis exchange, which is a very complex 3D trajectory of the ball, but end up being classified as a point for one player or the other.
Chess move, which is a complex 3D object being manipulated in complex continuous ways, but result in a discrete state (the position)
Market with much competition, where the equilibria capture who is on top/best, and this tends to be maintained until it is completely switched.
Bonus exercise
Bipolar disorder: the kicks are really hard to know and find, probably the longer the period has lasted the more smaller kicks become able to move the state
Cravings for different restaurants: eating once doesn’t do it, but there’s a bound on how many times I want to eat at the same place. Around it, thinking of another place/food might do the trick.
Tennis exchange: The kick truly depends on how far the trajectory needs to be pushed to be inside or outside, or to reach the racket of the player on this side of the net.
Chess move: the kick is the distance you have to move the piece so that it is in an ambiguous place between two cells, or in another cell.
Market with much competition: the kick is for another competitor to beat the winner.
I really like the chess example. Anything continuous that gets discretized is similar. Like the color of a pixel in a photo, or whether you have crossed the finish line in a race.
Chess example is awesome, I had never of that before. Like, if I set down the piece overlapping the edge of a square, I will want to push it unambiguously into the square.
Let’s do this
Bipolar disorder, where the two equilibrium are the depression state and the manic state
Cravings for different restaurants, each a different equilibria: when I order in one, I tend to only want to order there for some time.
Tennis exchange, which is a very complex 3D trajectory of the ball, but end up being classified as a point for one player or the other.
Chess move, which is a complex 3D object being manipulated in complex continuous ways, but result in a discrete state (the position)
Market with much competition, where the equilibria capture who is on top/best, and this tends to be maintained until it is completely switched.
Bonus exercise
Bipolar disorder: the kicks are really hard to know and find, probably the longer the period has lasted the more smaller kicks become able to move the state
Cravings for different restaurants: eating once doesn’t do it, but there’s a bound on how many times I want to eat at the same place. Around it, thinking of another place/food might do the trick.
Tennis exchange: The kick truly depends on how far the trajectory needs to be pushed to be inside or outside, or to reach the racket of the player on this side of the net.
Chess move: the kick is the distance you have to move the piece so that it is in an ambiguous place between two cells, or in another cell.
Market with much competition: the kick is for another competitor to beat the winner.
I really like the chess example. Anything continuous that gets discretized is similar. Like the color of a pixel in a photo, or whether you have crossed the finish line in a race.
Chess example is awesome, I had never of that before. Like, if I set down the piece overlapping the edge of a square, I will want to push it unambiguously into the square.