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Parag's avatar

This is great but I came here after clicking an article on LinkedIn which talked about exp(pi). There is no mention of that in this article, e.g. why it is so important.

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Tivadar Danka's avatar

Thanks! It was just an example to illustrate that thinking about exponentiation as repeated multiplication is quite absurd if we go beyond positive integer exponents.

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Bakkyaraj's avatar

Nice Explanation. We can define a^x as e^{x ln a}.

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Rodolphe Nogbou's avatar

Is this absurdity also seen in application of exponentiation to solve real problems in nature ?

I am wondering if this is an aspect of nature.

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Tivadar Danka's avatar

This is bordering philosophy, and I am not good in that :)

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Feb 11, 2023
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Tivadar Danka's avatar

I render the formulas with QuickLaTeX (https://quicklatex.com/), and put the images together in Inkscape.

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