Read the equation
This relation uses a gradient: the vector of local changes in a scalar objective with respect to its variables. It supplies a local direction or stationarity condition; an implementation still needs the differentiation variables, domain and update convention given in the surrounding model.
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 • \epsilon 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
Source recovery establishes that the expression appears in this record. Its mathematical validity, implementation behavior, and interpretation must be assessed separately. See the linked source and research notes for the checks available for this version.
Original context
Read the surrounding source passage
2.3. Controlled repair dynamics (ε, δε, Srepair)
You already had a repair operator S_{repair}. Now:
• \epsilon = \nabla(\text{error}) says where the error is and in which direction repair should move.
• \delta\epsilon says how fast the error landscape is changing.
Effect:
• Rhiannon no longer “just repairs”; it has a definable repair trajectory and speed.
• This makes it possible to:
• decide when to keep repairing vs stop,
• allocate resources to fast-changing vs slow-changing problems.Exact original notation
• \epsilon = \nabla(\text{error}) says where the error is and in which direction repair should move.Related builds
Sources & provenance
• \epsilon = \nabla(\text{error}) says where the error is and in which direction repair should move.
• \epsilon = \nabla(\text{error}) says where the error is and in which direction repair should move.