Mapping Inequality

The Mapping Inequality states that, in certain mathematical systems, the maximum value of a combined or "mapped" output cannot exceed the highest value from the original inputs. Essentially, it ensures that applying a specific function or transformation to data does not create outputs larger than the largest initial input, maintaining a form of control over the transformed results. This concept is important in areas like optimization and analysis, as it helps establish bounds and predict how transformations affect data without exceeding known limits.