There’s a joke that cracks me up:
“Do you know that, earlier than the clock was invented, folks needed to actively roam round and ask folks the time?”
There may be clearly no want to clarify the joke, but when we have been to overthink it a bit bit (like good mathematicians do) we will say that the joke is about the truth that the knowledge of a particle of a bunch can be utilized to tell all the opposite particles. This idea is definitely approach deeper than the joke I simply stated and will be exploited additional.
Let’s take into account a self-organized system, akin to hen flocking or fish education. We will outline this technique as one made from particles (e.g. a particle is a hen). We will additionally assume with a superb diploma of approximation that these particles transfer round in area adjusting their positions based mostly on two elements:
- The very best place that the particular particle is aware of: what the hen thinks is greatest for themselves.
- The world greatest place that’s given by all of the particles “speaking” with one another: what the hen is instructed to do by the “important hen”
