Equation 5 · Part 7 · Physics Optimizes, Evolution Satisfices: Two Kinds of Perfection
∫
∫
What this part means
Accumulate a quantity over a range.
Its job in the formula
Accumulate a quantity over a range.
Full expression→∫→Article meaning
The passage around this formula
The contrast has an exact formal shape once the metaphors are set aside. A variational principle is a statement about a path taken as a whole: it is found by requiring the change in the action integral to vanish across every nearby alternative path at once, . 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:
Learn the underlying idea
A variable is a named place for a value. Its letter is a local label: x can mean position in one formula and a data point in another.
Open the illustrated variables: a letter stands for a value guide →
The article lists its research sources here.