Read the equation
The divergence of a flux J equals minus the local rate of change of density ρ. Rearranging gives a local continuity or conservation relation: material leaves a region when its density decreases.
Its role in the build
The Unified Learning Equation
Terms & definitions
The recovered passage does not supply a separate symbol table. Read the source context for the notation used in this version; familiar letters may carry different meanings in other builds.
How it works
Read ∇ · J as the quantity being defined or updated by this relation.
Uses a derivative or gradient to describe a rate of change or a direction of variation.
Use this version’s variable definitions and update order. The same symbol may be assigned a different meaning in another build.
Assumptions & limits
This is a decorative background equation in the poster. The source does not connect J and ρ to the main learning-state operators, provide boundary conditions, or establish that its machine state obeys this conservation law.
Original context
Read the surrounding source passage
The Unified Learning Equation: The divergence of a flux J equals minus the local rate of change of density ρ. Rearranging gives a local continuity or conservation relation: material leaves a region when its density decreases.
Exact original notation
∇ · J = −∂ρ/∂t
Related builds
Sources & provenance
∇ · J = −∂ρ/∂t