Equation 6 · Part 7 · Physics Optimizes, Evolution Satisfices: Two Kinds of Perfection
derivative
derivative
What this part means
This notation tracks how one quantity changes with another. The indicated variable tells which change is being measured.
Its job in the formula
This notation tracks how one quantity changes with another. The indicated variable tells which change is being measured.
Full expression→derivative→Article meaning
The passage around this formula
evaluated using only the fixed start and end conditions — the equation has no term for how the system got to its starting point, because it does not need one. An adaptive walk is a statement about one step from one place: . a new position built only from the previous position and the local slope of fitness W at that exact point, with no access to the global shape of the landscape and no way to undo once it is fixed. In optimization-theory terms, the first rule is global by construction; the second is a greedy local rule that can only report the best it found from where it started. Physics gets to run the first kind of rule because a photon and a planet have no history…
Learn the underlying idea
A derivative describes how quickly one quantity changes as another changes. It is the slope of a curve at a particular point.
Open the illustrated derivatives: instantaneous rate of change guide →
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