Positive Integer Exponents

GUIDE: Mathematics of the Discrete Fourier Transform (DFT). Positive Integer Exponents

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Positive Integer Exponents

The “original” definition of exponents which “actually makes sense” applies only to positive integer exponents:

\

where $a>0$ is real.

Generalizing this definition involves first noting its abstract mathematical properties, and then making sure these properties are preserved in the generalization.

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