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MATH.9:3 - Forces

ForceTension
One answer and indistinguishable alternativesA deterministic output may require a distinction absent from the input.
A symmetric problem and its individual solutionsSymmetry preserves the solution set; uniqueness supplies the additional step that fixes an individual solution.
Reduced input and returned coordinatesThe transformation used for normalization can affect an output even when the normalized input is unchanged.
Pointwise consistency and other requirementsA rule can satisfy the transformation law while its evaluation is expensive or its values change discontinuously.