MATH.9:8 - Common Anti-Patterns and How to Avoid Them

Use coordinate order as an unannounced priority. The cycle’s smallest-label tie-break fails a half-turn. Supply a distinguished priority that the task permits, or return the alternatives.

Infer a symmetric optimum from a symmetric feasible set. Preserve the criterion and establish the premise needed for the fixed-point deduction. The sum-of-squares maximum and weighted minimum give different answers.

Normalize the input and discard the transformation. An answer in source coordinates needs the inverse return. If several normalizing transformations remain, check their agreement on the proposed output.

Average valid answers into an invalid answer. The zero mean of opposite unit directions is outside the required output set. Test the averaged result’s membership or retain the set.

Call a compatible pointwise rule continuous. The cycle’s minimizing index jumps near a tie. Apply the receiving regularity requirement when it is part of the task.