Probe into the Foundation Methods of the Mathematical model on Square Limit Sum
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Graphical Abstract
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Abstract
The mathematical model \sum_\mathrmk=1^\mathrmn \mathrmk^2=\frac12 \mathrmn(\mathrmn+1)(2 \mathrmn+1) is widely used in the mathematics teaching and practice.The paper expounds some quite interesting foundation methods of the mathematical model with geometry,algebra,physics and differentiation method,which have a good deal of enlightment to the foundation of other mathematical models.
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