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Over-reliance on Cauchy-Schwartz and Triangle Inequality in Analysis

The observation that analysis professors often attribute many concepts to Cauchy-Schwartz or Triangle Inequality suggests a potential limitation or bottleneck in the way analysis is taught or applied. This might indicate a need for more diverse tools or methods in analysis. The reliance on these inequalities could be hindering the exploration of other mathematical approaches.

Mathematics & logic, Mathematics, Calculus