MATH.13:8 - Common Anti-Patterns and How to Avoid Them

Text-invited mistake	Repair
Swap components but ignore their different costs.	Apply the transformation to the complete criterion and identify whether the data remain fixed.
Infer a symmetric individual solution from a symmetric solution set.	Establish uniqueness or retain the whole transformed family of solutions.
Rotate a law while silently keeping changed initial data as the same problem.	Track the transformed initial or boundary values.
Demand an invariant output when the task needs an equivariant position or direction.	Specify and apply the output action.
Normalize an input and lose the original coordinate relation.	Retain the transformation needed to return the answer or expose the remaining ambiguity.
Infer physical conservation from an equivariant update alone.	Derive the quantity’s change along the actual dynamics or numerical step.